
Time bar (total: 12.1s)
| 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)
| 541.0ms | 8 256× | 0 | valid |
ival-cos: 188.0ms (53.3% of total)ival-div: 64.0ms (18.1% of total)ival-mult: 48.0ms (13.6% of total)ival-sinh: 43.0ms (12.2% of total)ival-true: 6.0ms (1.7% of total)ival-assert: 3.0ms (0.9% 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 |
| 47.0ms | 512× | 0 | valid |
Compiled 56 to 28 computations (50% saved)
ival-cos: 24.0ms (70.3% of total)ival-div: 4.0ms (11.7% of total)ival-mult: 3.0ms (8.8% of total)ival-sinh: 3.0ms (8.8% 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% | (/.f64 (sinh.f64 y) y) |
| ✓ | accuracy | 100.0% | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| ✓ | accuracy | 100.0% | (sinh.f64 y) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| 42.0ms | 256× | 0 | valid |
Compiled 19 to 8 computations (57.9% saved)
ival-cos: 31.0ms (88.3% of total)ival-div: 2.0ms (5.7% of total)ival-mult: 1.0ms (2.8% of total)ival-sinh: 1.0ms (2.8% 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)) |
| 2.0ms | 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 | @ | -inf | (* (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)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 698 | 5 | 703 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 699 | 5 | 704 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))) |
| ▶ | 65.3% | (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) |
| ▶ | 70.7% | (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
| ▶ | 66.9% | (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y)) |
| ▶ | 48.3% | (cos.f64 x) |
Compiled 94 to 68 computations (27.7% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (sinh.f64 y) y) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) |
| ✓ | 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 | (cos.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (cos.f64 x) (sinh.f64 y)) |
| ✓ | cost-diff | 0 | (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))) |
| 6 396× | lower-fma.f32 |
| 6 392× | lower-fma.f64 |
| 4 790× | lower-*.f32 |
| 4 778× | lower-*.f64 |
| 1 788× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 99 |
| 0 | 33 | 97 |
| 1 | 68 | 97 |
| 2 | 137 | 95 |
| 3 | 347 | 95 |
| 4 | 900 | 95 |
| 5 | 3063 | 95 |
| 6 | 5761 | 95 |
| 0 | 8355 | 95 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))) |
#s(literal 1 binary64) |
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))) |
y |
(*.f64 (cos.f64 x) (sinh.f64 y)) |
(cos.f64 x) |
x |
(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 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
x |
(*.f64 x #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 (sinh.f64 y) y) |
(sinh.f64 y) |
y |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))) |
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y) |
#s(literal 1 binary64) |
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))) |
y |
(*.f64 (cos.f64 x) (sinh.f64 y)) |
(cos.f64 x) |
x |
(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 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
x |
(*.f64 x #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 (sinh.f64 y) y) |
(sinh.f64 y) |
y |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 (sinh.f64 y) y) |
| ✓ | accuracy | 100.0% | (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (sinh.f64 y) |
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 100.0% | (/.f64 (sinh.f64 y) y) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y)) |
| ✓ | accuracy | 100.0% | (sinh.f64 y) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 99.9% | (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))) |
| ✓ | accuracy | 99.9% | (*.f64 (cos.f64 x) (sinh.f64 y)) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))) |
| 95.0ms | 129× | 2 | exit |
| 41.0ms | 126× | 0 | valid |
| 2.0ms | 1× | 5 | exit |
Compiled 105 to 22 computations (79% saved)
adjust: 57.0ms (50.1% of total)ival-mult: 33.0ms (29% of total)ival-cos: 8.0ms (7% of total)const: 5.0ms (4.4% of total)ival-div: 4.0ms (3.5% of total)ival-add: 3.0ms (2.6% of total)ival-sinh: 2.0ms (1.8% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))))> |
#<alt (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))> |
#<alt (*.f64 (cos.f64 x) (sinh.f64 y))> |
#<alt (cos.f64 x)> |
#<alt (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y))> |
#<alt (/.f64 (sinh.f64 y) y)> |
#<alt (sinh.f64 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 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y))> |
#<alt (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))> |
#<alt (*.f64 x #s(literal -1/2 binary64))> |
| Outputs |
|---|
#<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 (* 1/2 (/ (- (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 (/ 1 (cos x))> |
#<alt (+ (* -1/6 (/ (pow y 2) (cos x))) (/ 1 (cos x)))> |
#<alt (+ (* (pow y 2) (- (* 7/360 (/ (pow y 2) (cos x))) (* 1/6 (/ 1 (cos x))))) (/ 1 (cos x)))> |
#<alt (+ (* (pow y 2) (- (* (pow y 2) (+ (* -31/15120 (/ (pow y 2) (cos x))) (* 7/360 (/ 1 (cos x))))) (* 1/6 (/ 1 (cos x))))) (/ 1 (cos x)))> |
#<alt (* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y))))))> |
#<alt (* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y))))))> |
#<alt (* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y))))))> |
#<alt (* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y))))))> |
#<alt (* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y))))))> |
#<alt (* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y))))))> |
#<alt (* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y))))))> |
#<alt (* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y))))))> |
#<alt (* 2 (/ y (- (exp y) (/ 1 (exp y)))))> |
#<alt (+ (* 2 (/ y (- (exp y) (/ 1 (exp y))))) (/ (* (pow x 2) y) (- (exp y) (/ 1 (exp y)))))> |
#<alt (+ (* 2 (/ y (- (exp y) (/ 1 (exp y))))) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2 (/ y (- (exp y) (/ 1 (exp y))))) (* 1/12 (/ y (- (exp y) (/ 1 (exp y)))))))) (* -1 (/ y (- (exp y) (/ 1 (exp y))))))))> |
#<alt (+ (* 2 (/ y (- (exp y) (/ 1 (exp y))))) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/360 (/ y (- (exp y) (/ 1 (exp y))))) (+ (* 1/24 (/ y (- (exp y) (/ 1 (exp y))))) (* 1/2 (+ (* -1/2 (/ y (- (exp y) (/ 1 (exp y))))) (* 1/12 (/ y (- (exp y) (/ 1 (exp y))))))))))) (+ (* -1/2 (/ y (- (exp y) (/ 1 (exp y))))) (* 1/12 (/ y (- (exp y) (/ 1 (exp y)))))))) (* -1 (/ y (- (exp y) (/ 1 (exp y))))))))> |
#<alt (* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y))))))> |
#<alt (* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y))))))> |
#<alt (* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y))))))> |
#<alt (* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y))))))> |
#<alt (* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y))))))> |
#<alt (* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y))))))> |
#<alt (* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y))))))> |
#<alt (* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y))))))> |
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))> |
#<alt (+ (* -1/4 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))> |
#<alt (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/4 (- (exp y) (/ 1 (exp y)))) (* 1/48 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))> |
#<alt (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/4 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/1440 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/48 (- (exp y) (/ 1 (exp y)))))))))> |
#<alt (* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y)))))> |
#<alt (* y (cos x))> |
#<alt (* y (+ (cos x) (* 1/6 (* (pow y 2) (cos x)))))> |
#<alt (* y (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x))))))> |
#<alt (* y (+ (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)))))> |
#<alt (* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* (cos x) (- (exp y) (/ 1 (exp 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 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 (* 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 (* 1/2 (/ (- (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 (+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 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 (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y)))))> |
#<alt (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y)))))> |
#<alt (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y)))))> |
#<alt (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y)))))> |
#<alt (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y)))))> |
#<alt (* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y)))))> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1 (* -1/2 (pow x 2)))))))> |
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (+ 1 (* -1/2 (pow x 2))))) (* 1/6 (+ 1 (* -1/2 (pow x 2))))))))> |
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* (pow y 2) (+ (* 1/6 (+ 1 (* -1/2 (pow x 2)))) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (+ 1 (* -1/2 (pow x 2))))) (* 1/120 (+ 1 (* -1/2 (pow x 2))))))))))> |
#<alt (* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | (* (+ (* x (* x -1/2)) 1) (/ (sinh y) y)) |
| 2.0ms | y | @ | -inf | (* (+ (* x (* x -1/2)) 1) (/ (sinh y) y)) |
| 2.0ms | y | @ | -inf | (/ y (* (cos x) (sinh y))) |
| 2.0ms | y | @ | inf | (* (+ (* x (* x -1/2)) 1) (/ (sinh y) y)) |
| 2.0ms | y | @ | inf | (/ y (* (cos x) (sinh y))) |
| 1× | batch-egg-rewrite |
| 4 982× | lower-fma.f32 |
| 4 978× | lower-fma.f64 |
| 4 532× | lower-*.f32 |
| 4 520× | lower-*.f64 |
| 3 204× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 73 |
| 0 | 33 | 71 |
| 1 | 111 | 69 |
| 2 | 707 | 69 |
| 3 | 7080 | 69 |
| 0 | 8009 | 69 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))) |
(/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))) |
(*.f64 (cos.f64 x) (sinh.f64 y)) |
(cos.f64 x) |
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y)) |
(/.f64 (sinh.f64 y) y) |
(sinh.f64 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 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x #s(literal -1/2 binary64)) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sinh.f64 y)) (/.f64 (cos.f64 x) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 (sinh.f64 y)) (/.f64 (cos.f64 x) y))) |
(-.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 (sinh.f64 y)) (/.f64 (cos.f64 x) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))) |
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y))) |
(/.f64 (sinh.f64 y) (/.f64 y (cos.f64 x))) |
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) 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 (/.f64 y (cos.f64 x)) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (*.f64 (cos.f64 x) (sinh.f64 y)))) |
(/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (/.f64 y (cos.f64 x)))) |
(/.f64 (*.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 y)) |
(/.f64 (*.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) (*.f64 #s(literal 1 binary64) (neg.f64 y))) |
(/.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (sinh.f64 y)))) |
(/.f64 (*.f64 (neg.f64 (sinh.f64 y)) (/.f64 (cos.f64 x) y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (*.f64 (/.f64 y (cos.f64 x)) #s(literal -2 binary64))) |
(/.f64 (neg.f64 (cos.f64 x)) (neg.f64 (/.f64 y (sinh.f64 y)))) |
(/.f64 (/.f64 (cos.f64 x) y) (/.f64 #s(literal 1 binary64) (sinh.f64 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) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))) |
(/.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 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (cos.f64 x)) (*.f64 #s(literal -2 binary64) y)) |
(/.f64 (*.f64 (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 y))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64)))) (*.f64 (neg.f64 y) #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 (cos.f64 x) y) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (cos.f64 x) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) 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 #s(literal -2 binary64) (sinh.f64 y))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (/.f64 (cos.f64 x) y)) #s(literal 2 binary64)) |
(/.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) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) y) (cos.f64 x)) #s(literal 2 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (sinh.f64 y)))) |
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(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/64 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/16 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #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 -1/8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 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 -1/8 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/64 binary64)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/16 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) |
(*.f64 x #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) x) |
(*.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| 1× | egg-herbie |
| 15 978× | lower-fma.f64 |
| 15 978× | lower-fma.f32 |
| 5 206× | lower-*.f64 |
| 5 206× | lower-*.f32 |
| 5 024× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 207 | 2648 |
| 1 | 688 | 2528 |
| 2 | 2480 | 2352 |
| 3 | 6998 | 2351 |
| 0 | 8300 | 2215 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(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)) |
(* 1/2 (/ (- (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)) |
(/ 1 (cos x)) |
(+ (* -1/6 (/ (pow y 2) (cos x))) (/ 1 (cos x))) |
(+ (* (pow y 2) (- (* 7/360 (/ (pow y 2) (cos x))) (* 1/6 (/ 1 (cos x))))) (/ 1 (cos x))) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -31/15120 (/ (pow y 2) (cos x))) (* 7/360 (/ 1 (cos x))))) (* 1/6 (/ 1 (cos x))))) (/ 1 (cos x))) |
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y)))))) |
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y)))))) |
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y)))))) |
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y)))))) |
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y)))))) |
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y)))))) |
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y)))))) |
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y)))))) |
(* 2 (/ y (- (exp y) (/ 1 (exp y))))) |
(+ (* 2 (/ y (- (exp y) (/ 1 (exp y))))) (/ (* (pow x 2) y) (- (exp y) (/ 1 (exp y))))) |
(+ (* 2 (/ y (- (exp y) (/ 1 (exp y))))) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2 (/ y (- (exp y) (/ 1 (exp y))))) (* 1/12 (/ y (- (exp y) (/ 1 (exp y)))))))) (* -1 (/ y (- (exp y) (/ 1 (exp y)))))))) |
(+ (* 2 (/ y (- (exp y) (/ 1 (exp y))))) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/360 (/ y (- (exp y) (/ 1 (exp y))))) (+ (* 1/24 (/ y (- (exp y) (/ 1 (exp y))))) (* 1/2 (+ (* -1/2 (/ y (- (exp y) (/ 1 (exp y))))) (* 1/12 (/ y (- (exp y) (/ 1 (exp y))))))))))) (+ (* -1/2 (/ y (- (exp y) (/ 1 (exp y))))) (* 1/12 (/ y (- (exp y) (/ 1 (exp y)))))))) (* -1 (/ y (- (exp y) (/ 1 (exp y)))))))) |
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y)))))) |
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y)))))) |
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y)))))) |
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y)))))) |
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y)))))) |
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y)))))) |
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y)))))) |
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y)))))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(+ (* -1/4 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/4 (- (exp y) (/ 1 (exp y)))) (* 1/48 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/4 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/1440 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/48 (- (exp y) (/ 1 (exp y))))))))) |
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y))))) |
(* y (cos x)) |
(* y (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))) |
(* y (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))) |
(* y (+ (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))))) |
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp 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)) |
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 (* 1/6 (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) |
(* 1/2 (/ (- (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))) |
(+ (* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 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))) |
(* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) |
(* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y))))) |
(* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y))))) |
(* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y))))) |
(* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) |
(* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y))))) |
(* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y))))) |
(* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y))))) |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1 (* -1/2 (pow x 2))))))) |
(+ 1 (+ (* -1/2 (pow x 2)) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (+ 1 (* -1/2 (pow x 2))))) (* 1/6 (+ 1 (* -1/2 (pow x 2)))))))) |
(+ 1 (+ (* -1/2 (pow x 2)) (* (pow y 2) (+ (* 1/6 (+ 1 (* -1/2 (pow x 2)))) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (+ 1 (* -1/2 (pow x 2))))) (* 1/120 (+ 1 (* -1/2 (pow x 2)))))))))) |
(* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y)) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* -1/2 (pow x 2))) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
| Outputs |
|---|
(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 (*.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) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (cos.f64 x) (*.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 (cos.f64 x) (*.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 (cos.f64 x) (*.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 (cos.f64 x) (*.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 (cos.f64 x) (*.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 (cos.f64 x) (*.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 (cos.f64 x) (*.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 (cos.f64 x) (*.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)) |
(+ (* -1/4 (/ (* (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))) y) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(+ (* 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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 x x) y)) (fma.f64 (*.f64 x x) #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 (/ (- (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 x x) (*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 x x) y)) (fma.f64 (*.f64 x x) #s(literal -1/1440 binary64) #s(literal 1/48 binary64))) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) |
(* 1/2 (/ (* (cos x) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (cos.f64 x) (*.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 (cos.f64 x) (*.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 (cos.f64 x) (*.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 (cos.f64 x) (*.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 (cos.f64 x) (*.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 (cos.f64 x) (*.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 (cos.f64 x) (*.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 (cos.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))) |
(/ 1 (cos x)) |
(/.f64 #s(literal 1 binary64) (cos.f64 x)) |
(+ (* -1/6 (/ (pow y 2) (cos x))) (/ 1 (cos x))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal -1/6 binary64) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x))) |
(+ (* (pow y 2) (- (* 7/360 (/ (pow y 2) (cos x))) (* 1/6 (/ 1 (cos x))))) (/ 1 (cos x))) |
(fma.f64 (*.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 x))) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -31/15120 (/ (pow y 2) (cos x))) (* 7/360 (/ 1 (cos x))))) (* 1/6 (/ 1 (cos x))))) (/ 1 (cos x))) |
(fma.f64 (*.f64 y y) (fma.f64 (/.f64 (*.f64 y y) (cos.f64 x)) (fma.f64 (*.f64 y y) #s(literal -31/15120 binary64) #s(literal 7/360 binary64)) (/.f64 #s(literal -1/6 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (cos.f64 x))) |
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y)))))) |
(/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y)))))) |
(/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y)))))) |
(/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y)))))) |
(/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y)))))) |
(/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y)))))) |
(/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y)))))) |
(/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y)))))) |
(/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(* 2 (/ y (- (exp y) (/ 1 (exp y))))) |
(/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(+ (* 2 (/ y (- (exp y) (/ 1 (exp y))))) (/ (* (pow x 2) y) (- (exp y) (/ 1 (exp y))))) |
(/.f64 (*.f64 y (fma.f64 x x #s(literal 2 binary64))) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(+ (* 2 (/ y (- (exp y) (/ 1 (exp y))))) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2 (/ y (- (exp y) (/ 1 (exp y))))) (* 1/12 (/ y (- (exp y) (/ 1 (exp y)))))))) (* -1 (/ y (- (exp y) (/ 1 (exp y)))))))) |
(fma.f64 (*.f64 x x) (*.f64 (/.f64 y (-.f64 (exp.f64 (neg.f64 y)) (exp.f64 y))) (fma.f64 #s(literal -5/12 binary64) (*.f64 x x) #s(literal -1 binary64))) (/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(+ (* 2 (/ y (- (exp y) (/ 1 (exp y))))) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/360 (/ y (- (exp y) (/ 1 (exp y))))) (+ (* 1/24 (/ y (- (exp y) (/ 1 (exp y))))) (* 1/2 (+ (* -1/2 (/ y (- (exp y) (/ 1 (exp y))))) (* 1/12 (/ y (- (exp y) (/ 1 (exp y))))))))))) (+ (* -1/2 (/ y (- (exp y) (/ 1 (exp y))))) (* 1/12 (/ y (- (exp y) (/ 1 (exp y)))))))) (* -1 (/ y (- (exp y) (/ 1 (exp y)))))))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (/.f64 y (-.f64 (exp.f64 (neg.f64 y)) (exp.f64 y))) #s(literal -61/360 binary64)) (/.f64 (*.f64 y #s(literal -5/12 binary64)) (-.f64 (exp.f64 (neg.f64 y)) (exp.f64 y)))))) (/.f64 (*.f64 y (fma.f64 x x #s(literal 2 binary64))) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y)))))) |
(/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y)))))) |
(/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y)))))) |
(/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y)))))) |
(/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y)))))) |
(/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y)))))) |
(/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y)))))) |
(/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(* 2 (/ y (* (cos x) (- (exp y) (/ 1 (exp y)))))) |
(/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (cos.f64 x) (-.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)))) |
(+ (* -1/4 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(*.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))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/4 (- (exp y) (/ 1 (exp y)))) (* 1/48 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal -1/4 binary64))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/4 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/1440 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/48 (- (exp y) (/ 1 (exp y))))))))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/1440 binary64) #s(literal 1/48 binary64))) (*.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)))) |
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) |
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) |
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) |
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) |
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) |
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) |
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) |
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) |
(* y (cos x)) |
(*.f64 (cos.f64 x) y) |
(* y (+ (cos x) (* 1/6 (* (pow y 2) (cos x))))) |
(*.f64 (cos.f64 x) (fma.f64 (*.f64 y y) (*.f64 #s(literal 1/6 binary64) y) y)) |
(* y (+ (cos x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (cos x))) (* 1/6 (cos x)))))) |
(*.f64 y (*.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)))) |
(* y (+ (cos x) (* (pow y 2) (+ (* 1/6 (cos x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (cos x))) (* 1/120 (cos x)))))))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 (cos.f64 x) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) |
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) |
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) |
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) |
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) |
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) |
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) |
(* 1/2 (* (cos x) (- (exp y) (/ 1 (exp y))))) |
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(* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
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 (* -1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/2 binary64))) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/2 binary64))) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
Compiled 22 097 to 2 257 computations (89.8% saved)
18 alts after pruning (17 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 167 | 17 | 1 184 |
| Fresh | 0 | 0 | 0 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 171 | 18 | 1 189 |
| Status | Accuracy | Program |
|---|---|---|
| 59.3% | (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| ▶ | 56.2% | (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| 37.0% | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x 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)) | |
| ▶ | 32.1% | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
| 59.2% | (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)) | |
| 34.1% | (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) | |
| 31.2% | (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) | |
| 44.7% | (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) | |
| ▶ | 66.9% | (/.f64 (sinh.f64 y) y) |
| 48.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x))) | |
| 49.7% | (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x 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))) | |
| 47.9% | (*.f64 (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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| ▶ | 57.2% | (*.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))) |
| 48.6% | (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| 14.4% | (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (/.f64 (sinh.f64 y) y)) | |
| 59.5% | (*.f64 #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)) | |
| ✓ | 48.3% | (cos.f64 x) |
| ▶ | 28.2% | #s(literal 1 binary64) |
Compiled 566 to 335 computations (40.8% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 64 | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.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))) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (sinh.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 (sinh.f64 y) y) |
| 10 688× | lower-fma.f32 |
| 10 672× | lower-fma.f64 |
| 3 080× | lower-+.f64 |
| 3 080× | lower-+.f32 |
| 2 844× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 186 |
| 0 | 47 | 186 |
| 1 | 118 | 186 |
| 2 | 392 | 186 |
| 3 | 1627 | 185 |
| 4 | 5909 | 183 |
| 5 | 6242 | 183 |
| 6 | 6533 | 183 |
| 7 | 6777 | 183 |
| 8 | 7133 | 183 |
| 9 | 7692 | 183 |
| 0 | 8052 | 181 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (sinh.f64 y) y) |
(sinh.f64 y) |
y |
#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 y y) |
y |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 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))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
x |
(*.f64 x #s(literal -1/2 binary64)) |
#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 y y) |
y |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 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)) |
#s(literal 1/6 binary64) |
(*.f64 y y) |
y |
#s(literal 1 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) |
(fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64)) |
#s(literal -1/12 binary64) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
(/.f64 (sinh.f64 y) y) |
(sinh.f64 y) |
y |
#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 #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 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 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
x |
(*.f64 x #s(literal -1/2 binary64)) |
#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 #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64))))) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64))) |
(fma.f64 y (*.f64 y #s(literal -1/12 binary64)) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
(*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 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)) |
(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) |
(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) |
(fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64)) |
#s(literal -1/12 binary64) |
#s(literal -1/2 binary64) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.5% | (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
| ✓ | accuracy | 88.3% | (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64))) |
| ✓ | accuracy | 80.1% | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.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))) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 (sinh.f64 y) y) |
| ✓ | accuracy | 100.0% | (sinh.f64 y) |
| 68.0ms | 256× | 0 | valid |
Compiled 213 to 34 computations (84% saved)
ival-mult: 21.0ms (41.3% of total)const: 16.0ms (31.5% of total)ival-add: 8.0ms (15.7% of total)ival-sinh: 3.0ms (5.9% of total)ival-div: 2.0ms (3.9% 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 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))> |
#<alt (*.f64 y y)> |
#<alt (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))> |
#<alt (*.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)))> |
#<alt (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))> |
#<alt (*.f64 x #s(literal -1/2 binary64))> |
#<alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))> |
#<alt (*.f64 x x)> |
#<alt (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64)))> |
#<alt (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 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> |
#<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 (* (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 (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 1/6> |
#<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)))))> |
#<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 (+ (* -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 (+ (* -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 (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))> |
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2)))))> |
#<alt (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))> |
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2)))))> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1 (* -1/2 (pow x 2)))))))> |
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (+ 1 (* -1/2 (pow x 2))))) (* 1/6 (+ 1 (* -1/2 (pow x 2))))))))> |
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (+ 1 (* -1/2 (pow x 2))))) (* 1/6 (+ 1 (* -1/2 (pow x 2))))))))> |
#<alt (* 1/120 (* (pow y 4) (+ 1 (* -1/2 (pow x 2)))))> |
#<alt (* (pow y 4) (+ (* 1/120 (+ 1 (* -1/2 (pow x 2)))) (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2)))))> |
#<alt (* (pow y 4) (+ (* -1/2 (/ (pow x 2) (pow y 4))) (+ (* 1/120 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (/ 1 (pow y 4))))))> |
#<alt (* (pow y 4) (+ (* -1/2 (/ (pow x 2) (pow y 4))) (+ (* 1/120 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (/ 1 (pow y 4))))))> |
#<alt (* 1/120 (* (pow y 4) (+ 1 (* -1/2 (pow x 2)))))> |
#<alt (* (pow y 4) (+ (* 1/120 (+ 1 (* -1/2 (pow x 2)))) (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2)))))> |
#<alt (* (pow y 4) (+ (* -1/2 (/ (pow x 2) (pow y 4))) (+ (* 1/120 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (/ 1 (pow y 4))))))> |
#<alt (* (pow y 4) (+ (* -1/2 (/ (pow x 2) (pow y 4))) (+ (* 1/120 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (/ 1 (pow y 4))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (- (* -1/12 (pow y 2)) 1/2))))> |
#<alt (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (- (+ (* -1/12 (pow y 2)) (* 1/24 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))) 1/2))))> |
#<alt (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (- (+ (* -1/12 (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))))))) 1/2))))> |
#<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) (- (+ (* -1/12 (/ (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))))) (/ 1/2 (pow x 4))))> |
#<alt (* (pow x 6) (- (+ (* -1/12 (/ (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)))))) (/ 1/2 (pow x 4))))> |
#<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) (- (+ (* -1/12 (/ (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))))) (/ 1/2 (pow x 4))))> |
#<alt (* (pow x 6) (- (+ (* -1/12 (/ (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)))))) (/ 1/2 (pow x 4))))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (+ 1 (+ (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) (* (pow y 2) (+ 1/6 (* (pow x 2) (- (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) 1/12))))))> |
#<alt (+ 1 (+ (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) (* (pow y 2) (+ 1/6 (* (pow x 2) (- (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) 1/12))))))> |
#<alt (+ 1 (+ (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) (* (pow y 2) (+ 1/6 (* (pow x 2) (- (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) 1/12))))))> |
#<alt (* (pow y 2) (+ 1/6 (* (pow x 2) (- (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) 1/12))))> |
#<alt (* (pow y 2) (+ 1/6 (+ (* (pow x 2) (- (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) 1/12)) (+ (/ 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 (+ (* (pow x 2) (- (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) 1/12)) (+ (/ 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 (+ (* (pow x 2) (- (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) 1/12)) (+ (/ 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 (* (pow x 2) (- (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) 1/12))))> |
#<alt (* (pow y 2) (+ 1/6 (+ (* (pow x 2) (- (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) 1/12)) (+ (/ 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 (+ (* (pow x 2) (- (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) 1/12)) (+ (/ 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 (+ (* (pow x 2) (- (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) 1/12)) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) (pow y 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 (- (* -1/12 (pow y 2)) 1/2)> |
#<alt (- (+ (* -1/12 (pow y 2)) (* 1/24 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))) 1/2)> |
#<alt (- (+ (* -1/12 (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))))))) 1/2)> |
#<alt (- (+ (* -1/12 (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))))))) 1/2)> |
#<alt (* -1/720 (* (pow x 4) (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (* (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 4) (- (+ (* -1/12 (/ (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))))) (/ 1/2 (pow x 4))))> |
#<alt (* (pow x 4) (- (+ (* -1/12 (/ (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))))) (/ 1/2 (pow x 4))))> |
#<alt (* -1/720 (* (pow x 4) (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (* (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 4) (- (+ (* -1/12 (/ (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))))) (/ 1/2 (pow x 4))))> |
#<alt (* (pow x 4) (- (+ (* -1/12 (/ (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))))) (/ 1/2 (pow x 4))))> |
#<alt (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)> |
#<alt (- (+ (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) (* (pow y 2) (- (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) 1/12))) 1/2)> |
#<alt (- (+ (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) (* (pow y 2) (- (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) 1/12))) 1/2)> |
#<alt (- (+ (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) (* (pow y 2) (- (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) 1/12))) 1/2)> |
#<alt (* (pow y 2) (- (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) 1/12))> |
#<alt (* (pow y 2) (- (+ (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) (/ (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) (pow y 2))) (+ 1/12 (* 1/2 (/ 1 (pow y 2))))))> |
#<alt (* (pow y 2) (- (+ (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) (/ (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) (pow y 2))) (+ 1/12 (* 1/2 (/ 1 (pow y 2))))))> |
#<alt (* (pow y 2) (- (+ (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) (/ (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) (pow y 2))) (+ 1/12 (* 1/2 (/ 1 (pow y 2))))))> |
#<alt (* (pow y 2) (- (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) 1/12))> |
#<alt (* (pow y 2) (- (+ (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) (/ (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) (pow y 2))) (+ 1/12 (* 1/2 (/ 1 (pow y 2))))))> |
#<alt (* (pow y 2) (- (+ (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) (/ (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) (pow y 2))) (+ 1/12 (* 1/2 (/ 1 (pow y 2))))))> |
#<alt (* (pow y 2) (- (+ (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) (/ (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) (pow y 2))) (+ 1/12 (* 1/2 (/ 1 (pow y 2))))))> |
#<alt (+ 1/24 (* -1/720 (pow x 2)))> |
#<alt (+ 1/24 (+ (* -1/720 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1/24 (* -1/720 (pow x 2)))))))> |
#<alt (+ 1/24 (+ (* -1/720 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1/24 (* -1/720 (pow x 2)))))))> |
#<alt (+ 1/24 (+ (* -1/720 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1/24 (* -1/720 (pow x 2)))))))> |
#<alt (* 1/6 (* (pow y 2) (+ 1/24 (* -1/720 (pow x 2)))))> |
#<alt (* (pow y 2) (+ (* -1/720 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1/24 (* -1/720 (pow x 2)))) (* 1/24 (/ 1 (pow y 2))))))> |
#<alt (* (pow y 2) (+ (* -1/720 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1/24 (* -1/720 (pow x 2)))) (* 1/24 (/ 1 (pow y 2))))))> |
#<alt (* (pow y 2) (+ (* -1/720 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1/24 (* -1/720 (pow x 2)))) (* 1/24 (/ 1 (pow y 2))))))> |
#<alt (* 1/6 (* (pow y 2) (+ 1/24 (* -1/720 (pow x 2)))))> |
#<alt (* (pow y 2) (+ (* -1/720 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1/24 (* -1/720 (pow x 2)))) (* 1/24 (/ 1 (pow y 2))))))> |
#<alt (* (pow y 2) (+ (* -1/720 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1/24 (* -1/720 (pow x 2)))) (* 1/24 (/ 1 (pow y 2))))))> |
#<alt (* (pow y 2) (+ (* -1/720 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1/24 (* -1/720 (pow x 2)))) (* 1/24 (/ 1 (pow y 2))))))> |
#<alt (* 1/24 (+ 1 (* 1/6 (pow y 2))))> |
#<alt (+ (* -1/720 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/24 (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (+ (* -1/720 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/24 (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (+ (* -1/720 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/24 (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (* -1/720 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (* (pow x 2) (+ (* -1/720 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/720 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/720 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2)))))> |
#<alt (* -1/720 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (* (pow x 2) (+ (* -1/720 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/720 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/720 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 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))))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (* (+ (* x (* x -1/2)) 1) (+ (* (* y y) (+ (* (* y y) 1/120) 1/6)) 1)) |
| 1.0ms | x | @ | -inf | (* (+ (* 1/6 (* y y)) 1) (+ (* (* x x) -1/720) 1/24)) |
| 1.0ms | y | @ | inf | (+ (* (* x x) (+ (* (* x x) (* (+ (* 1/6 (* y y)) 1) (+ (* (* x x) -1/720) 1/24))) (+ (* (* y y) -1/12) -1/2))) (+ (* 1/6 (* y y)) 1)) |
| 1.0ms | y | @ | 0 | (+ (* (* x x) (+ (* (* x x) (* (+ (* 1/6 (* y y)) 1) (+ (* (* x x) -1/720) 1/24))) (+ (* (* y y) -1/12) -1/2))) (+ (* 1/6 (* y y)) 1)) |
| 1.0ms | x | @ | 0 | (* (+ (* x (* x -1/2)) 1) (+ (* (* y y) (+ (* (* y y) 1/120) 1/6)) 1)) |
| 1× | batch-egg-rewrite |
| 5 802× | lower-fma.f32 |
| 5 786× | lower-fma.f64 |
| 4 734× | lower-*.f32 |
| 4 724× | lower-*.f64 |
| 3 830× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 137 |
| 0 | 47 | 137 |
| 1 | 225 | 137 |
| 2 | 2016 | 137 |
| 0 | 8539 | 137 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (sinh.f64 y) y) |
(sinh.f64 y) |
(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 y y) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 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 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 x x) |
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (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)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 y (sinh.f64 y))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) y) (/.f64 (/.f64 (exp.f64 (neg.f64 y)) #s(literal 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)) (/.f64 (sinh.f64 y) (neg.f64 y))) |
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y))) |
(neg.f64 (/.f64 (neg.f64 (sinh.f64 y)) y)) |
(/.f64 (sinh.f64 y) y) |
(/.f64 #s(literal 1 binary64) (/.f64 y (sinh.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sinh.f64 y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (sinh.f64 y))))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 y #s(literal 2 binary64))) |
(/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (sinh.f64 y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (sinh.f64 y)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) y)) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (neg.f64 (*.f64 y #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (sinh.f64 y))) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 (sinh.f64 y) #s(literal 1 binary64)) y) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) y))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sinh.f64 y)))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) y))) #s(literal -2 binary64)) |
(pow.f64 (/.f64 y (sinh.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 y (sinh.f64 y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y)) |
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 y (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (sinh.f64 y) #s(literal 2 binary64))) |
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64))) |
(sinh.f64 y) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -2 binary64)) |
(/.f64 (-.f64 (*.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 y)))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -1 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(+.f64 (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) |
(+.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64))))) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 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 #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 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) (/.f64 (*.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 y (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 (*.f64 y #s(literal 1/120 binary64)) (*.f64 y y)) (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)) |
(fma.f64 (*.f64 y y) (*.f64 y (*.f64 y #s(literal 1/120 binary64))) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y (*.f64 y #s(literal 1/120 binary64))) (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y #s(literal 1 binary64)) |
(fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y #s(literal 1/120 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/120 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 y (*.f64 y #s(literal 1/120 binary64))) y) y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 y (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal 1 binary64)) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (fma.f64 (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #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 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) (-.f64 (fma.f64 y (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal 1 binary64)) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) |
(/.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 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 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 y (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal 1 binary64)) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (fma.f64 (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (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) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y (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 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 y (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal 1 binary64)) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 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 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (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)))) |
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(/.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))))) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))) (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.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 y (*.f64 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)))) |
| 1× | egg-herbie |
| 15 734× | lower-fma.f64 |
| 15 734× | lower-fma.f32 |
| 5 220× | lower-+.f64 |
| 5 220× | lower-+.f32 |
| 3 546× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 181 | 3686 |
| 1 | 606 | 3406 |
| 2 | 2116 | 3112 |
| 3 | 6999 | 3020 |
| 0 | 8213 | 2713 |
| 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 (* (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))))) |
(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) |
1/6 |
(+ 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))))) |
(+ 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 (+ (* -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 (+ (* -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)))))) |
(* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2))))) |
(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2))))) |
(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2))))) |
(* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2))))) |
(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2))))) |
(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2))))) |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1 (* -1/2 (pow x 2))))))) |
(+ 1 (+ (* -1/2 (pow x 2)) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (+ 1 (* -1/2 (pow x 2))))) (* 1/6 (+ 1 (* -1/2 (pow x 2)))))))) |
(+ 1 (+ (* -1/2 (pow x 2)) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (+ 1 (* -1/2 (pow x 2))))) (* 1/6 (+ 1 (* -1/2 (pow x 2)))))))) |
(* 1/120 (* (pow y 4) (+ 1 (* -1/2 (pow x 2))))) |
(* (pow y 4) (+ (* 1/120 (+ 1 (* -1/2 (pow x 2)))) (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))))) |
(* (pow y 4) (+ (* -1/2 (/ (pow x 2) (pow y 4))) (+ (* 1/120 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (/ 1 (pow y 4)))))) |
(* (pow y 4) (+ (* -1/2 (/ (pow x 2) (pow y 4))) (+ (* 1/120 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (/ 1 (pow y 4)))))) |
(* 1/120 (* (pow y 4) (+ 1 (* -1/2 (pow x 2))))) |
(* (pow y 4) (+ (* 1/120 (+ 1 (* -1/2 (pow x 2)))) (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))))) |
(* (pow y 4) (+ (* -1/2 (/ (pow x 2) (pow y 4))) (+ (* 1/120 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (/ 1 (pow y 4)))))) |
(* (pow y 4) (+ (* -1/2 (/ (pow x 2) (pow y 4))) (+ (* 1/120 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (/ 1 (pow y 4)))))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* -1/2 (pow x 2))) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (- (* -1/12 (pow y 2)) 1/2)))) |
(+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (- (+ (* -1/12 (pow y 2)) (* 1/24 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))) 1/2)))) |
(+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (- (+ (* -1/12 (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))))))) 1/2)))) |
(* -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) (- (+ (* -1/12 (/ (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))))) (/ 1/2 (pow x 4)))) |
(* (pow x 6) (- (+ (* -1/12 (/ (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)))))) (/ 1/2 (pow x 4)))) |
(* -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) (- (+ (* -1/12 (/ (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))))) (/ 1/2 (pow x 4)))) |
(* (pow x 6) (- (+ (* -1/12 (/ (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)))))) (/ 1/2 (pow x 4)))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(+ 1 (+ (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) (* (pow y 2) (+ 1/6 (* (pow x 2) (- (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) 1/12)))))) |
(+ 1 (+ (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) (* (pow y 2) (+ 1/6 (* (pow x 2) (- (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) 1/12)))))) |
(+ 1 (+ (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) (* (pow y 2) (+ 1/6 (* (pow x 2) (- (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) 1/12)))))) |
(* (pow y 2) (+ 1/6 (* (pow x 2) (- (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) 1/12)))) |
(* (pow y 2) (+ 1/6 (+ (* (pow x 2) (- (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) 1/12)) (+ (/ 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 (+ (* (pow x 2) (- (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) 1/12)) (+ (/ 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 (+ (* (pow x 2) (- (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) 1/12)) (+ (/ 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 (* (pow x 2) (- (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) 1/12)))) |
(* (pow y 2) (+ 1/6 (+ (* (pow x 2) (- (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) 1/12)) (+ (/ 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 (+ (* (pow x 2) (- (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) 1/12)) (+ (/ 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 (+ (* (pow x 2) (- (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) 1/12)) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) (pow y 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) |
(- (* -1/12 (pow y 2)) 1/2) |
(- (+ (* -1/12 (pow y 2)) (* 1/24 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))) 1/2) |
(- (+ (* -1/12 (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))))))) 1/2) |
(- (+ (* -1/12 (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))))))) 1/2) |
(* -1/720 (* (pow x 4) (+ 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 4) (- (+ (* -1/12 (/ (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))))) (/ 1/2 (pow x 4)))) |
(* (pow x 4) (- (+ (* -1/12 (/ (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))))) (/ 1/2 (pow x 4)))) |
(* -1/720 (* (pow x 4) (+ 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 4) (- (+ (* -1/12 (/ (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))))) (/ 1/2 (pow x 4)))) |
(* (pow x 4) (- (+ (* -1/12 (/ (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))))) (/ 1/2 (pow x 4)))) |
(- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2) |
(- (+ (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) (* (pow y 2) (- (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) 1/12))) 1/2) |
(- (+ (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) (* (pow y 2) (- (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) 1/12))) 1/2) |
(- (+ (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) (* (pow y 2) (- (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) 1/12))) 1/2) |
(* (pow y 2) (- (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) 1/12)) |
(* (pow y 2) (- (+ (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) (/ (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) (pow y 2))) (+ 1/12 (* 1/2 (/ 1 (pow y 2)))))) |
(* (pow y 2) (- (+ (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) (/ (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) (pow y 2))) (+ 1/12 (* 1/2 (/ 1 (pow y 2)))))) |
(* (pow y 2) (- (+ (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) (/ (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) (pow y 2))) (+ 1/12 (* 1/2 (/ 1 (pow y 2)))))) |
(* (pow y 2) (- (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) 1/12)) |
(* (pow y 2) (- (+ (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) (/ (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) (pow y 2))) (+ 1/12 (* 1/2 (/ 1 (pow y 2)))))) |
(* (pow y 2) (- (+ (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) (/ (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) (pow y 2))) (+ 1/12 (* 1/2 (/ 1 (pow y 2)))))) |
(* (pow y 2) (- (+ (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) (/ (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) (pow y 2))) (+ 1/12 (* 1/2 (/ 1 (pow y 2)))))) |
(+ 1/24 (* -1/720 (pow x 2))) |
(+ 1/24 (+ (* -1/720 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1/24 (* -1/720 (pow x 2))))))) |
(+ 1/24 (+ (* -1/720 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1/24 (* -1/720 (pow x 2))))))) |
(+ 1/24 (+ (* -1/720 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1/24 (* -1/720 (pow x 2))))))) |
(* 1/6 (* (pow y 2) (+ 1/24 (* -1/720 (pow x 2))))) |
(* (pow y 2) (+ (* -1/720 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1/24 (* -1/720 (pow x 2)))) (* 1/24 (/ 1 (pow y 2)))))) |
(* (pow y 2) (+ (* -1/720 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1/24 (* -1/720 (pow x 2)))) (* 1/24 (/ 1 (pow y 2)))))) |
(* (pow y 2) (+ (* -1/720 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1/24 (* -1/720 (pow x 2)))) (* 1/24 (/ 1 (pow y 2)))))) |
(* 1/6 (* (pow y 2) (+ 1/24 (* -1/720 (pow x 2))))) |
(* (pow y 2) (+ (* -1/720 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1/24 (* -1/720 (pow x 2)))) (* 1/24 (/ 1 (pow y 2)))))) |
(* (pow y 2) (+ (* -1/720 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1/24 (* -1/720 (pow x 2)))) (* 1/24 (/ 1 (pow y 2)))))) |
(* (pow y 2) (+ (* -1/720 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1/24 (* -1/720 (pow x 2)))) (* 1/24 (/ 1 (pow y 2)))))) |
(* 1/24 (+ 1 (* 1/6 (pow y 2)))) |
(+ (* -1/720 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/24 (+ 1 (* 1/6 (pow y 2))))) |
(+ (* -1/720 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/24 (+ 1 (* 1/6 (pow y 2))))) |
(+ (* -1/720 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/24 (+ 1 (* 1/6 (pow y 2))))) |
(* -1/720 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) |
(* (pow x 2) (+ (* -1/720 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))))) |
(* (pow x 2) (+ (* -1/720 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))))) |
(* (pow x 2) (+ (* -1/720 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))))) |
(* -1/720 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) |
(* (pow x 2) (+ (* -1/720 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))))) |
(* (pow x 2) (+ (* -1/720 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))))) |
(* (pow x 2) (+ (* -1/720 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 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 |
#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 (*.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 y (*.f64 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 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(* 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) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 y 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 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) 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)))) |
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 (*.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 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) |
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(* 1/120 (pow y 4)) |
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) |
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) #s(literal 1 binary64)) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 #s(literal 1/120 binary64) (/.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) |
1/6 |
#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)) |
(+ 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 (+ (* -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)))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #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))) |
(+ 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)))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #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))) |
(+ 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)))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #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))) |
(* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(*.f64 (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 -1/2 binary64) (*.f64 x x))) |
(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 y (/.f64 y (*.f64 x x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 y (/.f64 y (*.f64 x x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 y (/.f64 y (*.f64 x x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(*.f64 (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 -1/2 binary64) (*.f64 x x))) |
(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 y (/.f64 y (*.f64 x x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 y (/.f64 y (*.f64 x x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 y (/.f64 y (*.f64 x x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #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 (+ (* -1/2 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1 (* -1/2 (pow x 2))))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (pow x 2)) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (+ 1 (* -1/2 (pow x 2))))) (* 1/6 (+ 1 (* -1/2 (pow x 2)))))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #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))) |
(+ 1 (+ (* -1/2 (pow x 2)) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (+ 1 (* -1/2 (pow x 2))))) (* 1/6 (+ 1 (* -1/2 (pow x 2)))))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #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))) |
(* 1/120 (* (pow y 4) (+ 1 (* -1/2 (pow x 2))))) |
(*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/240 binary64) #s(literal 1/120 binary64)))) |
(* (pow y 4) (+ (* 1/120 (+ 1 (* -1/2 (pow x 2)))) (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))))) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(* (pow y 4) (+ (* -1/2 (/ (pow x 2) (pow y 4))) (+ (* 1/120 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (/ 1 (pow y 4)))))) |
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(* (pow y 4) (+ (* -1/2 (/ (pow x 2) (pow y 4))) (+ (* 1/120 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (/ 1 (pow y 4)))))) |
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(* 1/120 (* (pow y 4) (+ 1 (* -1/2 (pow x 2))))) |
(*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/240 binary64) #s(literal 1/120 binary64)))) |
(* (pow y 4) (+ (* 1/120 (+ 1 (* -1/2 (pow x 2)))) (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))))) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(* (pow y 4) (+ (* -1/2 (/ (pow x 2) (pow y 4))) (+ (* 1/120 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (/ 1 (pow y 4)))))) |
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(* (pow y 4) (+ (* -1/2 (/ (pow x 2) (pow y 4))) (+ (* 1/120 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (/ 1 (pow y 4)))))) |
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 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 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(+ 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)) (* (pow x 2) (- (* -1/12 (pow y 2)) 1/2)))) |
(fma.f64 x (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/12 binary64)) #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
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(*.f64 y (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) #s(literal -1/12 binary64)))) |
(* (pow y 2) (- (+ (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) (/ (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) (pow y 2))) (+ 1/12 (* 1/2 (/ 1 (pow y 2)))))) |
(*.f64 (*.f64 y y) (+.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) #s(literal -1/12 binary64)) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 y y)))) |
(* (pow y 2) (- (+ (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) (/ (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) (pow y 2))) (+ 1/12 (* 1/2 (/ 1 (pow y 2)))))) |
(*.f64 (*.f64 y y) (+.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) #s(literal -1/12 binary64)) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 y y)))) |
(* (pow y 2) (- (+ (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) (/ (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) (pow y 2))) (+ 1/12 (* 1/2 (/ 1 (pow y 2)))))) |
(*.f64 (*.f64 y y) (+.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) #s(literal -1/12 binary64)) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 y y)))) |
(* (pow y 2) (- (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) 1/12)) |
(*.f64 y (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) #s(literal -1/12 binary64)))) |
(* (pow y 2) (- (+ (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) (/ (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) (pow y 2))) (+ 1/12 (* 1/2 (/ 1 (pow y 2)))))) |
(*.f64 (*.f64 y y) (+.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) #s(literal -1/12 binary64)) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 y y)))) |
(* (pow y 2) (- (+ (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) (/ (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) (pow y 2))) (+ 1/12 (* 1/2 (/ 1 (pow y 2)))))) |
(*.f64 (*.f64 y y) (+.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) #s(literal -1/12 binary64)) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 y y)))) |
(* (pow y 2) (- (+ (* 1/6 (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2))))) (/ (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) (pow y 2))) (+ 1/12 (* 1/2 (/ 1 (pow y 2)))))) |
(*.f64 (*.f64 y y) (+.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) #s(literal -1/12 binary64)) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 y y)))) |
(+ 1/24 (* -1/720 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
(+ 1/24 (+ (* -1/720 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1/24 (* -1/720 (pow x 2))))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
(+ 1/24 (+ (* -1/720 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1/24 (* -1/720 (pow x 2))))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
(+ 1/24 (+ (* -1/720 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1/24 (* -1/720 (pow x 2))))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
(* 1/6 (* (pow y 2) (+ 1/24 (* -1/720 (pow x 2))))) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64))) |
(* (pow y 2) (+ (* -1/720 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1/24 (* -1/720 (pow x 2)))) (* 1/24 (/ 1 (pow y 2)))))) |
(fma.f64 (*.f64 y y) (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) |
(* (pow y 2) (+ (* -1/720 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1/24 (* -1/720 (pow x 2)))) (* 1/24 (/ 1 (pow y 2)))))) |
(fma.f64 (*.f64 y y) (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) |
(* (pow y 2) (+ (* -1/720 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1/24 (* -1/720 (pow x 2)))) (* 1/24 (/ 1 (pow y 2)))))) |
(fma.f64 (*.f64 y y) (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) |
(* 1/6 (* (pow y 2) (+ 1/24 (* -1/720 (pow x 2))))) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64))) |
(* (pow y 2) (+ (* -1/720 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1/24 (* -1/720 (pow x 2)))) (* 1/24 (/ 1 (pow y 2)))))) |
(fma.f64 (*.f64 y y) (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) |
(* (pow y 2) (+ (* -1/720 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1/24 (* -1/720 (pow x 2)))) (* 1/24 (/ 1 (pow y 2)))))) |
(fma.f64 (*.f64 y y) (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) |
(* (pow y 2) (+ (* -1/720 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1/24 (* -1/720 (pow x 2)))) (* 1/24 (/ 1 (pow y 2)))))) |
(fma.f64 (*.f64 y y) (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))) |
(* 1/24 (+ 1 (* 1/6 (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal 1/144 binary64) #s(literal 1/24 binary64)) |
(+ (* -1/720 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/24 (+ 1 (* 1/6 (pow y 2))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
(+ (* -1/720 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/24 (+ 1 (* 1/6 (pow y 2))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
(+ (* -1/720 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/24 (+ 1 (* 1/6 (pow y 2))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
(* -1/720 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/4320 binary64) #s(literal -1/720 binary64)))) |
(* (pow x 2) (+ (* -1/720 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
(* (pow x 2) (+ (* -1/720 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
(* (pow x 2) (+ (* -1/720 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
(* -1/720 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/4320 binary64) #s(literal -1/720 binary64)))) |
(* (pow x 2) (+ (* -1/720 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
(* (pow x 2) (+ (* -1/720 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
(* (pow x 2) (+ (* -1/720 (+ 1 (* 1/6 (pow y 2)))) (* 1/24 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
1/24 |
#s(literal 1/24 binary64) |
(+ 1/24 (* -1/720 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
(+ 1/24 (* -1/720 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
(+ 1/24 (* -1/720 (pow x 2))) |
(fma.f64 (*.f64 x 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 #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)) |
Compiled 73 317 to 2 881 computations (96.1% saved)
28 alts after pruning (24 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 204 | 17 | 1 221 |
| Fresh | 5 | 7 | 12 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 211 | 28 | 1 239 |
| Status | Accuracy | Program |
|---|---|---|
| 56.2% | (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) | |
| 56.2% | (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/120 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| 56.2% | (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y #s(literal 1/120 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| 59.3% | (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| ✓ | 56.2% | (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ▶ | 59.2% | (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| 55.9% | (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1 binary64)) | |
| 44.7% | (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) | |
| ▶ | 33.4% | (fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 y (/.f64 y (*.f64 x x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| 32.1% | (fma.f64 (*.f64 x x) (*.f64 y (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) #s(literal -1/12 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| 59.2% | (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)) | |
| 37.0% | (fma.f64 x (*.f64 x (fma.f64 (*.f64 x 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)) | |
| 34.1% | (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) | |
| ▶ | 31.2% | (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| 59.5% | (/.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y) | |
| 32.1% | (/.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 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))) | |
| 47.4% | (/.f64 (*.f64 (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 x (*.f64 x x)) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) | |
| ✓ | 66.9% | (/.f64 (sinh.f64 y) y) |
| 48.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x))) | |
| 47.9% | (*.f64 (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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| ▶ | 48.6% | (*.f64 (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))) |
| 33.5% | (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))) | |
| 33.8% | (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/240 binary64) #s(literal 1/120 binary64)))) | |
| 26.6% | (*.f64 y (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) #s(literal -1/12 binary64)) #s(literal 1/6 binary64)))) | |
| 30.8% | (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) | |
| ▶ | 59.5% | (*.f64 #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)) |
| ✓ | 48.3% | (cos.f64 x) |
| ✓ | 28.2% | #s(literal 1 binary64) |
Compiled 974 to 562 computations (42.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 y (/.f64 y (*.f64 x x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 320 | (fma.f64 y (/.f64 y (*.f64 x x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 1088 | (fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 y (/.f64 y (*.f64 x x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (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))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (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)) |
| ✓ | cost-diff | 0 | (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) |
| ✓ | cost-diff | 320 | (*.f64 #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)) |
| ✓ | cost-diff | 1024 | (/.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) |
| 19 238× | lower-fma.f32 |
| 19 214× | lower-fma.f64 |
| 5 118× | lower-*.f32 |
| 5 100× | lower-*.f64 |
| 3 548× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 275 |
| 0 | 65 | 267 |
| 1 | 161 | 264 |
| 2 | 417 | 264 |
| 3 | 1375 | 264 |
| 4 | 3698 | 258 |
| 5 | 5364 | 253 |
| 6 | 6076 | 253 |
| 7 | 6645 | 253 |
| 8 | 7083 | 253 |
| 9 | 7256 | 253 |
| 0 | 8443 | 250 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #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)) |
#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 (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) |
(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 y) |
y |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
(*.f64 y (*.f64 y y)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
x |
(*.f64 x #s(literal -1/2 binary64)) |
#s(literal -1/2 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) #s(literal 1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
x |
(*.f64 x #s(literal -1/2 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) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(*.f64 y #s(literal 1/5040 binary64)) |
#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 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 y (/.f64 y (*.f64 x x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 y (/.f64 y (*.f64 x x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
(fma.f64 y (/.f64 y (*.f64 x x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) |
(/.f64 y (*.f64 x x)) |
(*.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 #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 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)) |
#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 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)) |
(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) |
(fma.f64 (*.f64 y (*.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)) 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 y) |
y |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
#s(literal 1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
(*.f64 y (*.f64 y y)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
x |
(*.f64 x #s(literal -1/2 binary64)) |
#s(literal -1/2 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) #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))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
x |
(*.f64 x #s(literal -1/2 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) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(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 y y) |
y |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 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 y (*.f64 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 #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 #s(literal 1/5040 binary64)) |
#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 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 y (/.f64 y (*.f64 x x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) #s(literal -1/2 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 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(*.f64 x x) |
x |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 y (/.f64 y (*.f64 x x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) |
(fma.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 y #s(literal -1/2 binary64) (/.f64 y (*.f64 x x)))) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
(fma.f64 y (/.f64 y (*.f64 x x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) |
(*.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 y (*.f64 x x)))) |
(/.f64 y (*.f64 x x)) |
(*.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 90.7% | (/.f64 y (*.f64 x x)) |
| ✓ | accuracy | 86.8% | (fma.f64 y (/.f64 y (*.f64 x x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) |
| ✓ | accuracy | 83.7% | (fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 y (/.f64 y (*.f64 x x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 (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))) |
| ✓ | accuracy | 99.8% | (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal -1/2 binary64)) |
| ✓ | accuracy | 99.9% | (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)) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 y (*.f64 y y)) |
| ✓ | accuracy | 99.3% | (/.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) |
| 79.0ms | 256× | 0 | valid |
Compiled 310 to 44 computations (85.8% saved)
ival-mult: 31.0ms (53.4% of total)ival-add: 14.0ms (24.1% of total)const: 9.0ms (15.5% of total)ival-div: 3.0ms (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 (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)> |
#<alt (*.f64 #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))> |
#<alt (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)> |
#<alt (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))> |
#<alt (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))> |
#<alt (*.f64 x #s(literal -1/2 binary64))> |
#<alt (*.f64 (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)))> |
#<alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))> |
#<alt (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))> |
#<alt (*.f64 y y)> |
#<alt (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))> |
#<alt (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))> |
#<alt (fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 y (/.f64 y (*.f64 x x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))> |
#<alt (fma.f64 y (/.f64 y (*.f64 x x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))> |
#<alt (*.f64 x x)> |
#<alt (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 y (/.f64 y (*.f64 x x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64))> |
#<alt (*.f64 y (*.f64 y y))> |
#<alt (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))> |
#<alt (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))> |
#<alt (/.f64 y (*.f64 x x))> |
#<alt (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 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 (* 1/5040 (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> |
#<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 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 (* 1/5040 (pow y 7))> |
#<alt (* (pow y 7) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))> |
#<alt (* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))> |
#<alt (* 1/5040 (pow y 7))> |
#<alt (* (pow y 7) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* -1 (* (pow y 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))> |
#<alt (* -1 (* (pow y 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 4))) (+ 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> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<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 (+ (* -1/2 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))> |
#<alt (+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))> |
#<alt (* -1/2 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2)))))> |
#<alt (* -1/2 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2)))))> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1 (* -1/2 (pow x 2)))))))> |
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1 (* -1/2 (pow x 2)))))))> |
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1 (* -1/2 (pow x 2)))))))> |
#<alt (* 1/6 (* (pow y 2) (+ 1 (* -1/2 (pow x 2)))))> |
#<alt (* (pow y 2) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/2 (pow x 2)))) (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/2 (pow x 2)))) (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/2 (pow x 2)))) (/ 1 (pow y 2)))))> |
#<alt (* 1/6 (* (pow y 2) (+ 1 (* -1/2 (pow x 2)))))> |
#<alt (* (pow y 2) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/2 (pow x 2)))) (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/2 (pow x 2)))) (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/2 (pow x 2)))) (/ 1 (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 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 (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 1/6> |
#<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 (* 1/120 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 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))> |
#<alt (+ 1 (+ (* (pow x 2) (- (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) 1/2)) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (+ 1 (+ (* (pow x 2) (- (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) 1/2)) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (+ 1 (+ (* (pow x 2) (- (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) 1/2)) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* (pow x 2) (- (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) 1/2))> |
#<alt (* (pow x 2) (- (+ (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2)))) 1/2))> |
#<alt (* (pow x 2) (- (+ (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2)))) 1/2))> |
#<alt (* (pow x 2) (- (+ (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2)))) 1/2))> |
#<alt (* (pow x 2) (- (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) 1/2))> |
#<alt (* (pow x 2) (- (+ (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2)))) 1/2))> |
#<alt (* (pow x 2) (- (+ (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2)))) 1/2))> |
#<alt (* (pow x 2) (- (+ (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2)))) 1/2))> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* 1/6 (* (pow x 2) (* (pow y 2) (- (/ 1 (pow x 2)) 1/2))))))> |
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* (pow y 2) (+ (* 1/120 (* (pow x 2) (* (pow y 2) (- (/ 1 (pow x 2)) 1/2)))) (* 1/6 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2)))))))> |
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* (pow y 2) (+ (* 1/120 (* (pow x 2) (* (pow y 2) (- (/ 1 (pow x 2)) 1/2)))) (* 1/6 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2)))))))> |
#<alt (* 1/120 (* (pow x 2) (* (pow y 4) (- (/ 1 (pow x 2)) 1/2))))> |
#<alt (* (pow y 4) (+ (* 1/120 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))) (* 1/6 (/ (* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) (pow y 2)))))> |
#<alt (* (pow y 4) (+ (* -1/2 (/ (pow x 2) (pow y 4))) (+ (* 1/120 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))) (+ (* 1/6 (/ (* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) (pow y 2))) (/ 1 (pow y 4))))))> |
#<alt (* (pow y 4) (+ (* -1/2 (/ (pow x 2) (pow y 4))) (+ (* 1/120 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))) (+ (* 1/6 (/ (* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) (pow y 2))) (/ 1 (pow y 4))))))> |
#<alt (* 1/120 (* (pow x 2) (* (pow y 4) (- (/ 1 (pow x 2)) 1/2))))> |
#<alt (* (pow y 4) (+ (* 1/120 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))) (* 1/6 (/ (* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) (pow y 2)))))> |
#<alt (* (pow y 4) (+ (* -1/2 (/ (pow x 2) (pow y 4))) (+ (* 1/120 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))) (+ (* 1/6 (/ (* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) (pow y 2))) (/ 1 (pow y 4))))))> |
#<alt (* (pow y 4) (+ (* -1/2 (/ (pow x 2) (pow y 4))) (+ (* 1/120 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))) (+ (* 1/6 (/ (* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) (pow y 2))) (/ 1 (pow y 4))))))> |
#<alt (* (pow y 2) (- (/ 1 (pow x 2)) 1/2))> |
#<alt (* (pow y 2) (- (/ 1 (pow x 2)) 1/2))> |
#<alt (* (pow y 2) (- (/ 1 (pow x 2)) 1/2))> |
#<alt (* (pow y 2) (- (/ 1 (pow x 2)) 1/2))> |
#<alt (* (pow y 2) (- (/ 1 (pow x 2)) 1/2))> |
#<alt (* (pow y 2) (- (/ 1 (pow x 2)) 1/2))> |
#<alt (* (pow y 2) (- (/ 1 (pow x 2)) 1/2))> |
#<alt (* (pow y 2) (- (/ 1 (pow x 2)) 1/2))> |
#<alt (* (pow y 2) (- (/ 1 (pow x 2)) 1/2))> |
#<alt (* (pow y 2) (- (/ 1 (pow x 2)) 1/2))> |
#<alt (* (pow y 2) (- (/ 1 (pow x 2)) 1/2))> |
#<alt (* (pow y 2) (- (/ 1 (pow x 2)) 1/2))> |
#<alt (/ (pow y 2) (pow x 2))> |
#<alt (/ (+ (* -1/2 (* (pow x 2) (pow y 2))) (pow y 2)) (pow x 2))> |
#<alt (/ (+ (* -1/2 (* (pow x 2) (pow y 2))) (pow y 2)) (pow x 2))> |
#<alt (/ (+ (* -1/2 (* (pow x 2) (pow y 2))) (pow y 2)) (pow x 2))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (+ (* -1/2 (pow y 2)) (/ (pow y 2) (pow x 2)))> |
#<alt (+ (* -1/2 (pow y 2)) (/ (pow y 2) (pow x 2)))> |
#<alt (+ (* -1/2 (pow y 2)) (/ (pow y 2) (pow x 2)))> |
#<alt (* -1/2 (pow y 2))> |
#<alt (+ (* -1/2 (pow y 2)) (/ (pow y 2) (pow x 2)))> |
#<alt (+ (* -1/2 (pow y 2)) (/ (pow y 2) (pow x 2)))> |
#<alt (+ (* -1/2 (pow y 2)) (/ (pow y 2) (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 (- (* 1/6 (* (pow y 2) (- (/ 1 (pow x 2)) 1/2))) 1/2)> |
#<alt (- (* (pow y 2) (+ (* 1/120 (* (pow y 2) (- (/ 1 (pow x 2)) 1/2))) (* 1/6 (- (/ 1 (pow x 2)) 1/2)))) 1/2)> |
#<alt (- (* (pow y 2) (+ (* 1/120 (* (pow y 2) (- (/ 1 (pow x 2)) 1/2))) (* 1/6 (- (/ 1 (pow x 2)) 1/2)))) 1/2)> |
#<alt (* 1/120 (* (pow y 4) (- (/ 1 (pow x 2)) 1/2)))> |
#<alt (* (pow y 4) (+ (* 1/120 (- (/ 1 (pow x 2)) 1/2)) (* 1/6 (/ (- (/ 1 (pow x 2)) 1/2) (pow y 2)))))> |
#<alt (* (pow y 4) (- (+ (* 1/120 (- (/ 1 (pow x 2)) 1/2)) (* 1/6 (/ (- (/ 1 (pow x 2)) 1/2) (pow y 2)))) (/ 1/2 (pow y 4))))> |
#<alt (* (pow y 4) (- (+ (* 1/120 (- (/ 1 (pow x 2)) 1/2)) (* 1/6 (/ (- (/ 1 (pow x 2)) 1/2) (pow y 2)))) (/ 1/2 (pow y 4))))> |
#<alt (* 1/120 (* (pow y 4) (- (/ 1 (pow x 2)) 1/2)))> |
#<alt (* (pow y 4) (+ (* 1/120 (- (/ 1 (pow x 2)) 1/2)) (* 1/6 (/ (- (/ 1 (pow x 2)) 1/2) (pow y 2)))))> |
#<alt (* (pow y 4) (- (+ (* 1/120 (- (/ 1 (pow x 2)) 1/2)) (* 1/6 (/ (- (/ 1 (pow x 2)) 1/2) (pow y 2)))) (/ 1/2 (pow y 4))))> |
#<alt (* (pow y 4) (- (+ (* 1/120 (- (/ 1 (pow x 2)) 1/2)) (* 1/6 (/ (- (/ 1 (pow x 2)) 1/2) (pow y 2)))) (/ 1/2 (pow y 4))))> |
#<alt (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2))> |
#<alt (/ (+ (* (pow x 2) (- (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) 1/2)) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (pow x 2))> |
#<alt (/ (+ (* (pow x 2) (- (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) 1/2)) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (pow x 2))> |
#<alt (/ (+ (* (pow x 2) (- (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) 1/2)) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (pow x 2))> |
#<alt (- (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) 1/2)> |
#<alt (- (+ (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2))) 1/2)> |
#<alt (- (+ (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2))) 1/2)> |
#<alt (- (+ (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2))) 1/2)> |
#<alt (- (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) 1/2)> |
#<alt (- (+ (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2))) 1/2)> |
#<alt (- (+ (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2))) 1/2)> |
#<alt (- (+ (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2))) 1/2)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<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> |
#<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 (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<alt (/ y (pow x 2))> |
#<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)))))> |
78 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | inf | (+ (* (* x x) (+ (* (+ (* (* y y) 1/120) 1/6) (+ (* y (/ y (* x x))) (* (* y y) -1/2))) -1/2)) 1) |
| 2.0ms | y | @ | inf | (/ y (* x x)) |
| 2.0ms | x | @ | 0 | (* x -1/2) |
| 1.0ms | x | @ | inf | (+ (* (* x x) (+ (* (+ (* (* y y) 1/120) 1/6) (+ (* y (/ y (* x x))) (* (* y y) -1/2))) -1/2)) 1) |
| 1.0ms | x | @ | 0 | (+ (* (* x x) (+ (* (+ (* (* y y) 1/120) 1/6) (+ (* y (/ y (* x x))) (* (* y y) -1/2))) -1/2)) 1) |
| 1× | batch-egg-rewrite |
| 6 030× | lower-fma.f32 |
| 6 006× | lower-fma.f64 |
| 4 586× | lower-*.f32 |
| 4 568× | lower-*.f64 |
| 3 736× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 225 |
| 0 | 65 | 215 |
| 1 | 319 | 212 |
| 2 | 2367 | 212 |
| 0 | 8517 | 209 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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) |
(*.f64 #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 (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) |
(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 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x #s(literal -1/2 binary64)) |
(*.f64 (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))) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 y y) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 y (/.f64 y (*.f64 x x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 y (*.f64 x x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) |
(*.f64 x x) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 y (/.f64 y (*.f64 x x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) |
(*.f64 y (*.f64 y y)) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(/.f64 y (*.f64 x x)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 y (fma.f64 (*.f64 y (*.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)) y))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.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 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.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))))) (fma.f64 (*.f64 y (*.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)) (neg.f64 y))) y) (/.f64 (/.f64 (*.f64 y y) (fma.f64 (*.f64 y (*.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)) (neg.f64 y))) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (fma.f64 (*.f64 y (*.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)) y) (neg.f64 y))) |
(-.f64 (/.f64 (*.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 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.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))))) (*.f64 y (fma.f64 (*.f64 y (*.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)) (neg.f64 y)))) (/.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y (*.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)) (neg.f64 y))))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 y (*.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)) y) (neg.f64 y))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 y (*.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)) y)) y)) |
(/.f64 (fma.f64 (*.f64 y (*.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)) y) y) |
(/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (*.f64 y (*.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)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (fma.f64 (*.f64 y (*.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)) y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (fma.f64 (*.f64 y (*.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)) y))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.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)) y)) (neg.f64 y)) |
(/.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.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))) (*.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 (*.f64 y y) (*.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)))))))) (*.f64 y (fma.f64 y (-.f64 y (*.f64 (*.f64 y (*.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)))) (*.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 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.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)))))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.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)) y) (fma.f64 (*.f64 y (*.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)) (neg.f64 y))) (*.f64 y (fma.f64 (*.f64 y (*.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)) (neg.f64 y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (fma.f64 (*.f64 y (*.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)) y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (fma.f64 (*.f64 y (*.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)) y)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.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))) (*.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 (*.f64 y y) (*.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 (fma.f64 y (-.f64 y (*.f64 (*.f64 y (*.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)))) (*.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 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.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)))))) y)) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y (*.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)) y) (fma.f64 (*.f64 y (*.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)) (neg.f64 y))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y (*.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)) (neg.f64 y)) y)) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.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))) (*.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 (*.f64 y y) (*.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))))))))) (neg.f64 (*.f64 y (fma.f64 y (-.f64 y (*.f64 (*.f64 y (*.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)))) (*.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 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.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))))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y (*.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)) y) (fma.f64 (*.f64 y (*.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)) (neg.f64 y)))) (neg.f64 (*.f64 y (fma.f64 (*.f64 y (*.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)) (neg.f64 y))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y (*.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)) y))) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y (*.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)) y))) (neg.f64 y)) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.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))) (*.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 (*.f64 y y) (*.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)))))))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 y (-.f64 y (*.f64 (*.f64 y (*.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)))) (*.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 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.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))))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y (*.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)) y) (fma.f64 (*.f64 y (*.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)) (neg.f64 y))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 y (*.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)) (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 y (*.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)) y)) #s(literal 1 binary64)) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.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))) (*.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 (*.f64 y y) (*.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))) (neg.f64 (*.f64 (fma.f64 y (-.f64 y (*.f64 (*.f64 y (*.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)))) (*.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 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.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)))))) y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y (*.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)) y) (fma.f64 (*.f64 y (*.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)) (neg.f64 y))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 y (*.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)) (neg.f64 y)) y))) |
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(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (neg.f64 x))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) |
(+.f64 (*.f64 y (*.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y y)) y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) |
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64))))) (/.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y y)) y)) (-.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 y #s(literal 1/120 binary64)) y #s(literal 1/6 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 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 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal -1/36 binary64)))) |
(/.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 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))) |
(/.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 1/36 binary64) (-.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y y)) y)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal -1/36 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 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 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal -1/36 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))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 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))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y y)) y)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) |
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y y)) y))) (-.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y y)) y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) |
(/.f64 (neg.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)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y y)) y)))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal -1/36 binary64))) #s(literal -1 binary64)) |
(*.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) (-.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y (*.f64 y y)) y) #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)))) |
| 1× | egg-herbie |
| 11 226× | lower-fma.f64 |
| 11 226× | lower-fma.f32 |
| 4 120× | lower-*.f64 |
| 4 120× | lower-*.f32 |
| 2 966× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 164 | 3764 |
| 1 | 533 | 3690 |
| 2 | 1668 | 3245 |
| 3 | 5103 | 3244 |
| 4 | 6584 | 3244 |
| 0 | 8069 | 2969 |
| 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))))))) |
(* 1/5040 (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 |
(+ 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)))))) |
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)))))))) |
(* 1/5040 (pow y 7)) |
(* (pow y 7) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))) |
(* 1/5040 (pow y 7)) |
(* (pow y 7) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) |
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 4))) (+ 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 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* -1/2 (pow x 2))) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2)))) |
(+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2)))) |
(+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2)))) |
(* -1/2 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) |
(* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2))))) |
(* -1/2 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) |
(* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ (* -1/2 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2))))) |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1 (* -1/2 (pow x 2))))))) |
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1 (* -1/2 (pow x 2))))))) |
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1 (* -1/2 (pow x 2))))))) |
(* 1/6 (* (pow y 2) (+ 1 (* -1/2 (pow x 2))))) |
(* (pow y 2) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/2 (pow x 2)))) (/ 1 (pow y 2))))) |
(* (pow y 2) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/2 (pow x 2)))) (/ 1 (pow y 2))))) |
(* (pow y 2) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/2 (pow x 2)))) (/ 1 (pow y 2))))) |
(* 1/6 (* (pow y 2) (+ 1 (* -1/2 (pow x 2))))) |
(* (pow y 2) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/2 (pow x 2)))) (/ 1 (pow y 2))))) |
(* (pow y 2) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/2 (pow x 2)))) (/ 1 (pow y 2))))) |
(* (pow y 2) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/2 (pow x 2)))) (/ 1 (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)))) |
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)))))) |
(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) |
1/6 |
(+ 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)))))) |
(* 1/120 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 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (+ (* (pow x 2) (- (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) 1/2)) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(+ 1 (+ (* (pow x 2) (- (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) 1/2)) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(+ 1 (+ (* (pow x 2) (- (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) 1/2)) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* (pow x 2) (- (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) 1/2)) |
(* (pow x 2) (- (+ (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2)))) 1/2)) |
(* (pow x 2) (- (+ (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2)))) 1/2)) |
(* (pow x 2) (- (+ (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2)))) 1/2)) |
(* (pow x 2) (- (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) 1/2)) |
(* (pow x 2) (- (+ (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2)))) 1/2)) |
(* (pow x 2) (- (+ (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2)))) 1/2)) |
(* (pow x 2) (- (+ (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2)))) 1/2)) |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (+ (* -1/2 (pow x 2)) (* 1/6 (* (pow x 2) (* (pow y 2) (- (/ 1 (pow x 2)) 1/2)))))) |
(+ 1 (+ (* -1/2 (pow x 2)) (* (pow y 2) (+ (* 1/120 (* (pow x 2) (* (pow y 2) (- (/ 1 (pow x 2)) 1/2)))) (* 1/6 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))))) |
(+ 1 (+ (* -1/2 (pow x 2)) (* (pow y 2) (+ (* 1/120 (* (pow x 2) (* (pow y 2) (- (/ 1 (pow x 2)) 1/2)))) (* 1/6 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))))) |
(* 1/120 (* (pow x 2) (* (pow y 4) (- (/ 1 (pow x 2)) 1/2)))) |
(* (pow y 4) (+ (* 1/120 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))) (* 1/6 (/ (* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) (pow y 2))))) |
(* (pow y 4) (+ (* -1/2 (/ (pow x 2) (pow y 4))) (+ (* 1/120 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))) (+ (* 1/6 (/ (* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) (pow y 2))) (/ 1 (pow y 4)))))) |
(* (pow y 4) (+ (* -1/2 (/ (pow x 2) (pow y 4))) (+ (* 1/120 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))) (+ (* 1/6 (/ (* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) (pow y 2))) (/ 1 (pow y 4)))))) |
(* 1/120 (* (pow x 2) (* (pow y 4) (- (/ 1 (pow x 2)) 1/2)))) |
(* (pow y 4) (+ (* 1/120 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))) (* 1/6 (/ (* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) (pow y 2))))) |
(* (pow y 4) (+ (* -1/2 (/ (pow x 2) (pow y 4))) (+ (* 1/120 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))) (+ (* 1/6 (/ (* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) (pow y 2))) (/ 1 (pow y 4)))))) |
(* (pow y 4) (+ (* -1/2 (/ (pow x 2) (pow y 4))) (+ (* 1/120 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))) (+ (* 1/6 (/ (* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) (pow y 2))) (/ 1 (pow y 4)))))) |
(* (pow y 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow y 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow y 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow y 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow y 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow y 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow y 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow y 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow y 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow y 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow y 2) (- (/ 1 (pow x 2)) 1/2)) |
(* (pow y 2) (- (/ 1 (pow x 2)) 1/2)) |
(/ (pow y 2) (pow x 2)) |
(/ (+ (* -1/2 (* (pow x 2) (pow y 2))) (pow y 2)) (pow x 2)) |
(/ (+ (* -1/2 (* (pow x 2) (pow y 2))) (pow y 2)) (pow x 2)) |
(/ (+ (* -1/2 (* (pow x 2) (pow y 2))) (pow y 2)) (pow x 2)) |
(* -1/2 (pow y 2)) |
(+ (* -1/2 (pow y 2)) (/ (pow y 2) (pow x 2))) |
(+ (* -1/2 (pow y 2)) (/ (pow y 2) (pow x 2))) |
(+ (* -1/2 (pow y 2)) (/ (pow y 2) (pow x 2))) |
(* -1/2 (pow y 2)) |
(+ (* -1/2 (pow y 2)) (/ (pow y 2) (pow x 2))) |
(+ (* -1/2 (pow y 2)) (/ (pow y 2) (pow x 2))) |
(+ (* -1/2 (pow y 2)) (/ (pow y 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) |
(pow x 2) |
-1/2 |
(- (* 1/6 (* (pow y 2) (- (/ 1 (pow x 2)) 1/2))) 1/2) |
(- (* (pow y 2) (+ (* 1/120 (* (pow y 2) (- (/ 1 (pow x 2)) 1/2))) (* 1/6 (- (/ 1 (pow x 2)) 1/2)))) 1/2) |
(- (* (pow y 2) (+ (* 1/120 (* (pow y 2) (- (/ 1 (pow x 2)) 1/2))) (* 1/6 (- (/ 1 (pow x 2)) 1/2)))) 1/2) |
(* 1/120 (* (pow y 4) (- (/ 1 (pow x 2)) 1/2))) |
(* (pow y 4) (+ (* 1/120 (- (/ 1 (pow x 2)) 1/2)) (* 1/6 (/ (- (/ 1 (pow x 2)) 1/2) (pow y 2))))) |
(* (pow y 4) (- (+ (* 1/120 (- (/ 1 (pow x 2)) 1/2)) (* 1/6 (/ (- (/ 1 (pow x 2)) 1/2) (pow y 2)))) (/ 1/2 (pow y 4)))) |
(* (pow y 4) (- (+ (* 1/120 (- (/ 1 (pow x 2)) 1/2)) (* 1/6 (/ (- (/ 1 (pow x 2)) 1/2) (pow y 2)))) (/ 1/2 (pow y 4)))) |
(* 1/120 (* (pow y 4) (- (/ 1 (pow x 2)) 1/2))) |
(* (pow y 4) (+ (* 1/120 (- (/ 1 (pow x 2)) 1/2)) (* 1/6 (/ (- (/ 1 (pow x 2)) 1/2) (pow y 2))))) |
(* (pow y 4) (- (+ (* 1/120 (- (/ 1 (pow x 2)) 1/2)) (* 1/6 (/ (- (/ 1 (pow x 2)) 1/2) (pow y 2)))) (/ 1/2 (pow y 4)))) |
(* (pow y 4) (- (+ (* 1/120 (- (/ 1 (pow x 2)) 1/2)) (* 1/6 (/ (- (/ 1 (pow x 2)) 1/2) (pow y 2)))) (/ 1/2 (pow y 4)))) |
(/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2)) |
(/ (+ (* (pow x 2) (- (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) 1/2)) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (pow x 2)) |
(/ (+ (* (pow x 2) (- (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) 1/2)) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (pow x 2)) |
(/ (+ (* (pow x 2) (- (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) 1/2)) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (pow x 2)) |
(- (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) 1/2) |
(- (+ (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2))) 1/2) |
(- (+ (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2))) 1/2) |
(- (+ (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2))) 1/2) |
(- (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) 1/2) |
(- (+ (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2))) 1/2) |
(- (+ (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2))) 1/2) |
(- (+ (* -1/2 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) (/ (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) (pow x 2))) 1/2) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
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 |
(+ 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))))) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
(/ y (pow x 2)) |
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 |
#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 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 (*.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)) |
(* 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 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.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 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.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 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.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 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) #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 (* (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 (*.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)) |
(* 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 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.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 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.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 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.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 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) #s(literal 1 binary64)) |
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 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) 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 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) |
(* 1/5040 (pow y 7)) |
(*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 7 binary64))) |
(* (pow y 7) (+ 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 7 binary64))) |
(* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(*.f64 (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (pow.f64 y #s(literal 7 binary64))) |
(* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (pow.f64 y #s(literal 7 binary64))) |
(* 1/5040 (pow y 7)) |
(*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 7 binary64))) |
(* (pow y 7) (+ 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 7 binary64))) |
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) |
(*.f64 (pow.f64 y #s(literal 7 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 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 4))) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))))) |
(*.f64 (pow.f64 y #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))) |
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 (*.f64 y 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 (*.f64 y 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 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) |
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y y))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.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)))))) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))))) |
(* 1/5040 (pow y 4)) |
(*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) |
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y y))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.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)))))) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.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 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1/2 x) |
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(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 |
#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)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
(/ y (pow x 2)) |
(/.f64 y (*.f64 x x)) |
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 y (*.f64 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 y (*.f64 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 48 730 to 2 806 computations (94.2% saved)
39 alts after pruning (33 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 266 | 19 | 1 285 |
| Fresh | 5 | 14 | 19 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 274 | 39 | 1 313 |
| Status | Accuracy | Program |
|---|---|---|
| 56.2% | (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) | |
| 59.2% | (fma.f64 (*.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 #s(literal 1 binary64)) | |
| 59.2% | (fma.f64 (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| 59.2% | (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) | |
| ✓ | 56.2% | (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| 59.2% | (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/5040 binary64)) (*.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) | |
| 31.0% | (fma.f64 (*.f64 y y) (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) y) (-.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) | |
| ✓ | 59.2% | (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| 59.2% | (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (+.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) | |
| 59.1% | (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) | |
| 58.9% | (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1 binary64)) | |
| 55.9% | (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1 binary64)) | |
| 44.7% | (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) | |
| 50.9% | (fma.f64 (*.f64 x (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 y (*.f64 x x)))) #s(literal -1/2 binary64))) x #s(literal 1 binary64)) | |
| 36.3% | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) | |
| 32.1% | (fma.f64 (*.f64 x x) (/.f64 (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) | |
| 31.0% | (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))) #s(literal 1 binary64)) | |
| 32.1% | (fma.f64 (*.f64 x x) (*.f64 y (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) #s(literal -1/12 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| 37.0% | (fma.f64 x (*.f64 x (fma.f64 (*.f64 x 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)) | |
| 34.1% | (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) | |
| ✓ | 31.2% | (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| 59.5% | (/.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y) | |
| 32.1% | (/.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 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))) | |
| 47.4% | (/.f64 (*.f64 (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 x (*.f64 x x)) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) | |
| ✓ | 66.9% | (/.f64 (sinh.f64 y) y) |
| 48.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x))) | |
| 59.5% | (*.f64 (fma.f64 (*.f64 y (*.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)) y) (/.f64 #s(literal 1 binary64) y)) | |
| 48.6% | (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) | |
| 47.9% | (*.f64 (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 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| 25.5% | (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 binary64))) | |
| 33.8% | (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/240 binary64) #s(literal 1/120 binary64)))) | |
| 26.6% | (*.f64 y (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) #s(literal -1/12 binary64)) #s(literal 1/6 binary64)))) | |
| 30.8% | (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) | |
| 12.7% | (*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64)))) | |
| 43.1% | (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) | |
| 43.1% | (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) | |
| 7.4% | (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) | |
| ✓ | 48.3% | (cos.f64 x) |
| ✓ | 28.2% | #s(literal 1 binary64) |
Compiled 1 720 to 634 computations (63.1% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 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)) |
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 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) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x #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 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))) |
(*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/240 binary64) #s(literal 1/120 binary64)))) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y #s(literal 1/120 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/120 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x 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 (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)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x 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 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.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 #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (+.f64 (*.f64 y (*.f64 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 x (*.f64 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))) |
(fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/5040 binary64)) (*.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 y (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) #s(literal -1/12 binary64)) #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) (*.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 (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x 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 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y) |
(*.f64 #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)) |
(*.f64 (fma.f64 (*.f64 y (*.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)) y) (/.f64 #s(literal 1 binary64) y)) |
(fma.f64 (*.f64 x x) (*.f64 y (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) #s(literal -1/12 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(fma.f64 (*.f64 x (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 y (*.f64 x x)))) #s(literal -1/2 binary64))) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 y (/.f64 y (*.f64 x x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 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 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(fma.f64 (*.f64 y y) (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) y) (-.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(cos.f64 x) |
(/.f64 (*.f64 (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 x (*.f64 x x)) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
(/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x))) |
(*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (/.f64 (sinh.f64 y) y)) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) |
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y)))) |
| Outputs |
|---|
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
5 calls:
| 39.0ms | (cos.f64 x) |
| 20.0ms | (/.f64 (sinh.f64 y) y) |
| 19.0ms | y |
| 17.0ms | x |
| 14.0ms | (*.f64 (cos.f64 x) (/.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 -1/2 binary64) (*.f64 x x)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 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)) |
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 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) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x #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 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))) |
(*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/240 binary64) #s(literal 1/120 binary64)))) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y #s(literal 1/120 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/120 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x 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 (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)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x 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 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.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 #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (+.f64 (*.f64 y (*.f64 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 x (*.f64 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))) |
(fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/5040 binary64)) (*.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 y (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) #s(literal -1/12 binary64)) #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) (*.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 (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x 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 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y) |
(*.f64 #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)) |
(*.f64 (fma.f64 (*.f64 y (*.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)) y) (/.f64 #s(literal 1 binary64) y)) |
(fma.f64 (*.f64 x x) (*.f64 y (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) #s(literal -1/12 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(fma.f64 (*.f64 x (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 y (*.f64 x x)))) #s(literal -1/2 binary64))) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 y (/.f64 y (*.f64 x x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 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 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(fma.f64 (*.f64 y y) (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) y) (-.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(cos.f64 x) |
(/.f64 (*.f64 (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 x (*.f64 x x)) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
(/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x))) |
(*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (/.f64 (sinh.f64 y) y)) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) |
| Outputs |
|---|
(*.f64 (*.f64 x (*.f64 x #s(literal -1/2 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 (sinh.f64 y) y) |
5 calls:
| 39.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 32.0ms | (/.f64 (sinh.f64 y) y) |
| 19.0ms | y |
| 15.0ms | x |
| 15.0ms | (cos.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.2% | 2 | x |
| 92.6% | 3 | y |
| 100.0% | 3 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 86.1% | 2 | (cos.f64 x) |
| 87.5% | 2 | (/.f64 (sinh.f64 y) y) |
Compiled 25 to 17 computations (32% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 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)) |
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 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) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x #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 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))) |
(*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/240 binary64) #s(literal 1/120 binary64)))) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y #s(literal 1/120 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/120 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x 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 (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)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x 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 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.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 #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (+.f64 (*.f64 y (*.f64 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 x (*.f64 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))) |
(fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/5040 binary64)) (*.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 y (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) #s(literal -1/12 binary64)) #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) (*.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 (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x 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 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y) |
(*.f64 #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)) |
(*.f64 (fma.f64 (*.f64 y (*.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)) y) (/.f64 #s(literal 1 binary64) y)) |
(fma.f64 (*.f64 x x) (*.f64 y (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) #s(literal -1/12 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(fma.f64 (*.f64 x (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 y (*.f64 x x)))) #s(literal -1/2 binary64))) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 y (/.f64 y (*.f64 x x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 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 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(fma.f64 (*.f64 y y) (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) y) (-.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(cos.f64 x) |
(/.f64 (*.f64 (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 x (*.f64 x x)) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
(/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x))) |
| Outputs |
|---|
(*.f64 y (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) #s(literal -1/12 binary64)) #s(literal 1/6 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:
| 14.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 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 -1/2 binary64) (*.f64 x x)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 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)) |
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 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) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x #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 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))) |
(*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/240 binary64) #s(literal 1/120 binary64)))) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y #s(literal 1/120 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/120 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x 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 (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)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x 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 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.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 #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (+.f64 (*.f64 y (*.f64 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 x (*.f64 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))) |
(fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/5040 binary64)) (*.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 y (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) #s(literal -1/12 binary64)) #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) (*.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 (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x 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 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y) |
(*.f64 #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)) |
(*.f64 (fma.f64 (*.f64 y (*.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)) y) (/.f64 #s(literal 1 binary64) y)) |
(fma.f64 (*.f64 x x) (*.f64 y (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) #s(literal -1/12 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(fma.f64 (*.f64 x (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 y (*.f64 x x)))) #s(literal -1/2 binary64))) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 y (/.f64 y (*.f64 x x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 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 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(fma.f64 (*.f64 y y) (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) y) (-.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(cos.f64 x) |
(/.f64 (*.f64 (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 x (*.f64 x x)) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
(/.f64 (sinh.f64 y) y) |
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y)) |
| Outputs |
|---|
(*.f64 y (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) #s(literal -1/12 binary64)) #s(literal 1/6 binary64)))) |
(cos.f64 x) |
(/.f64 (sinh.f64 y) y) |
1 calls:
| 12.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 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 -1/2 binary64) (*.f64 x x)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 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)) |
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 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) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x #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 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))) |
(*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/240 binary64) #s(literal 1/120 binary64)))) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y #s(literal 1/120 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/120 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x 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 (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)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x 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 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.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 #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (+.f64 (*.f64 y (*.f64 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 x (*.f64 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))) |
(fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/5040 binary64)) (*.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 y (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) #s(literal -1/12 binary64)) #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) (*.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 (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x 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 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y) |
(*.f64 #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)) |
(*.f64 (fma.f64 (*.f64 y (*.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)) y) (/.f64 #s(literal 1 binary64) y)) |
(fma.f64 (*.f64 x x) (*.f64 y (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) #s(literal -1/12 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(fma.f64 (*.f64 x (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 y (*.f64 x x)))) #s(literal -1/2 binary64))) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 y (/.f64 y (*.f64 x x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 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 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(fma.f64 (*.f64 y y) (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) y) (-.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(cos.f64 x) |
(/.f64 (*.f64 (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 x (*.f64 x x)) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
| Outputs |
|---|
(*.f64 y (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) #s(literal -1/12 binary64)) #s(literal 1/6 binary64)))) |
(cos.f64 x) |
(/.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 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:
| 16.0ms | y |
| 12.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.2% | 2 | y |
| 91.9% | 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 -1/2 binary64) (*.f64 x x)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 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)) |
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 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) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x #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 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))) |
(*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/240 binary64) #s(literal 1/120 binary64)))) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y #s(literal 1/120 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/120 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x 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 (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)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x 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 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.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 #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (+.f64 (*.f64 y (*.f64 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 x (*.f64 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))) |
(fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/5040 binary64)) (*.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 y (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) #s(literal -1/12 binary64)) #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) (*.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 (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x 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 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y) |
(*.f64 #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)) |
(*.f64 (fma.f64 (*.f64 y (*.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)) y) (/.f64 #s(literal 1 binary64) y)) |
(fma.f64 (*.f64 x x) (*.f64 y (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) #s(literal -1/12 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(fma.f64 (*.f64 x (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (fma.f64 y #s(literal -1/2 binary64) (/.f64 y (*.f64 x x)))) #s(literal -1/2 binary64))) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 y (/.f64 y (*.f64 x x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 binary64))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 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 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(fma.f64 (*.f64 y y) (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) y) (-.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 y (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) #s(literal -1/12 binary64)) #s(literal 1/6 binary64)))) |
(/.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 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:
| 38.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 33.0ms | x |
| 18.0ms | y |
| 13.0ms | (cos.f64 x) |
| 10.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.8% | 2 | y |
| 72.3% | 2 | (cos.f64 x) |
| 61.2% | 2 | x |
| 64.8% | 2 | (/.f64 (sinh.f64 y) y) |
| 72.3% | 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 -1/2 binary64) (*.f64 x x)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 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)) |
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 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) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x #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 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))) |
(*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/240 binary64) #s(literal 1/120 binary64)))) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y #s(literal 1/120 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/120 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x 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 (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)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x 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 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.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 #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (+.f64 (*.f64 y (*.f64 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 x (*.f64 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))) |
(fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/5040 binary64)) (*.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 y (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) #s(literal -1/12 binary64)) #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) (*.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 (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x 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 y (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) #s(literal -1/12 binary64)) #s(literal 1/6 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)) |
2 calls:
| 10.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 10.0ms | (cos.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.9% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 71.9% | 2 | (cos.f64 x) |
Compiled 13 to 9 computations (30.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 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)) |
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 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) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x #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 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))) |
(*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/240 binary64) #s(literal 1/120 binary64)))) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y #s(literal 1/120 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/120 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x 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 (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)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x 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 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.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 #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (+.f64 (*.f64 y (*.f64 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 x (*.f64 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))) |
(fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/5040 binary64)) (*.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/12 binary64)) #s(literal -1/2 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))) |
(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)) |
2 calls:
| 9.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 8.0ms | (cos.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.9% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 71.9% | 2 | (cos.f64 x) |
Compiled 13 to 9 computations (30.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 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)) |
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 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) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x #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 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))) |
(*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/240 binary64) #s(literal 1/120 binary64)))) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y #s(literal 1/120 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/120 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x 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 (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)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x 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 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.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 #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (+.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/240 binary64) #s(literal 1/120 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)) |
2 calls:
| 8.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 7.0ms | (cos.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.8% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 71.8% | 2 | (cos.f64 x) |
Compiled 13 to 9 computations (30.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 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)) |
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 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) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x #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 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))) |
(*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/240 binary64) #s(literal 1/120 binary64)))) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y #s(literal 1/120 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/120 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x 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 |
|---|
(*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/240 binary64) #s(literal 1/120 binary64)))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
2 calls:
| 10.0ms | (cos.f64 x) |
| 6.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.8% | 2 | (cos.f64 x) |
| 71.8% | 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 -1/2 binary64) (*.f64 x x)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 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)) |
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 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) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x #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 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))) |
(*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/240 binary64) #s(literal 1/120 binary64)))) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/240 binary64) #s(literal 1/120 binary64)))) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1 binary64)) |
2 calls:
| 7.0ms | (cos.f64 x) |
| 5.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.5% | 2 | (cos.f64 x) |
| 71.5% | 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 -1/2 binary64) (*.f64 x x)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 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)) |
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 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) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x #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 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))) |
(*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/240 binary64) #s(literal 1/120 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/240 binary64) #s(literal 1/120 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)) |
2 calls:
| 5.0ms | (cos.f64 x) |
| 4.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.8% | 2 | (cos.f64 x) |
| 68.8% | 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 -1/2 binary64) (*.f64 x x)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 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)) |
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 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) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x #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 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))) |
(*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 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)) |
2 calls:
| 5.0ms | (cos.f64 x) |
| 5.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.8% | 2 | (cos.f64 x) |
| 67.8% | 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 -1/2 binary64) (*.f64 x x)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 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)) |
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 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)) |
| Outputs |
|---|
(*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1 binary64)) |
2 calls:
| 4.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 3.0ms | (cos.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.5% | 2 | (cos.f64 x) |
| 67.5% | 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 -1/2 binary64) (*.f64 x x)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 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)) |
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/12 binary64) #s(literal 1/6 binary64))) |
| Outputs |
|---|
(*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) |
2 calls:
| 3.0ms | (cos.f64 x) |
| 3.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.8% | 3 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 58.2% | 3 | (cos.f64 x) |
Compiled 13 to 9 computations (30.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 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)) |
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) |
| Outputs |
|---|
(*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) |
4 calls:
| 5.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 3.0ms | y |
| 3.0ms | x |
| 2.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.0% | 2 | x |
| 56.1% | 2 | (/.f64 (sinh.f64 y) y) |
| 58.3% | 3 | y |
| 62.3% | 3 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 21 to 14 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 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)) |
| Outputs |
|---|
(*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
4 calls:
| 4.0ms | y |
| 2.0ms | (cos.f64 x) |
| 2.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 2.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.7% | 1 | (/.f64 (sinh.f64 y) y) |
| 50.9% | 2 | (cos.f64 x) |
| 47.9% | 3 | y |
| 50.9% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 22 to 15 computations (31.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
5 calls:
| 3.0ms | y |
| 1.0ms | x |
| 1.0ms | (cos.f64 x) |
| 1.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 1.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 33.1% | 2 | (/.f64 (sinh.f64 y) y) |
| 33.2% | 2 | y |
| 32.2% | 2 | x |
| 34.2% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 34.2% | 2 | (cos.f64 x) |
Compiled 25 to 17 computations (32% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 1 binary64) |
| Outputs |
|---|
#s(literal 1 binary64) |
5 calls:
| 1.0ms | (cos.f64 x) |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 1.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 28.2% | 1 | x |
| 28.2% | 1 | (/.f64 (sinh.f64 y) y) |
| 28.2% | 1 | y |
| 28.2% | 1 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 28.2% | 1 | (cos.f64 x) |
Compiled 25 to 17 computations (32% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000000000498115 | 1.0000008402453477 |
| 0.0ms | -inf | -0.9964611794527075 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000000000498115 | 1.0000008402453477 |
| 0.0ms | -inf | -0.9964611794527075 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999999557095 | 1.0 |
| 0.0ms | -inf | -0.9964611794527075 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999999557095 | 1.0 |
| 0.0ms | -inf | -0.9964611794527075 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.13974005534869047 | 0.0010128502438554673 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.03943021620570015 | 0.0010128502438554673 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.03943021620570015 | 0.0010128502438554673 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.14730954706279525 | -0.13974005534869047 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.14730954706279525 | -0.13974005534869047 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.14730954706279525 | -0.13974005534869047 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.14730954706279525 | -0.13974005534869047 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.13974005534869047 | 0.0010128502438554673 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.13974005534869047 | 0.0010128502438554673 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000008402453477 | 2423384326337439.5 |
| 0.0ms | -0.13974005534869047 | 0.0010128502438554673 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000008402453477 | 2423384326337439.5 |
| 0.0ms | -0.13974005534869047 | 0.0010128502438554673 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.03943021620570015 | 0.0010128502438554673 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.03943021620570015 | 0.0010128502438554673 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | egg-herbie |
| 46× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 94 | 667 |
| 1 | 120 | 667 |
| 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 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (/.f64 (sinh.f64 y) y)) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2251800939585155/2251799813685248 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 y (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) #s(literal -1/12 binary64)) #s(literal 1/6 binary64)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2251800939585155/2251799813685248 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 y (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) #s(literal -1/12 binary64)) #s(literal 1/6 binary64)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 9007199254342059/9007199254740992 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 y (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) #s(literal -1/12 binary64)) #s(literal 1/6 binary64)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 9007199254342059/9007199254740992 binary64)) (cos.f64 x) (/.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 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 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 y (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) #s(literal -1/12 binary64)) #s(literal 1/6 binary64)))) (/.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 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 -5764607523034235/288230376151711744 binary64)) (*.f64 y (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) #s(literal -1/12 binary64)) #s(literal 1/6 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))) |
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/288230376151711744 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 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))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -1261007895663739/9007199254740992 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/240 binary64) #s(literal 1/120 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))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -1261007895663739/9007199254740992 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/240 binary64) #s(literal 1/120 binary64)))) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -1261007895663739/9007199254740992 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/240 binary64) #s(literal 1/120 binary64)))) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1 binary64))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -1261007895663739/9007199254740992 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/240 binary64) #s(literal 1/120 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 -3602879701896397/36028797018963968 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 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 -3602879701896397/36028797018963968 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64)))) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) |
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
#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 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (/.f64 (sinh.f64 y) y)) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2251800939585155/2251799813685248 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 (/.f64 (sinh.f64 y) y) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2251800939585155/2251799813685248 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 y (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) #s(literal -1/12 binary64)) #s(literal 1/6 binary64)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2251800939585155/2251799813685248 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 y (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) #s(literal -1/12 binary64)) #s(literal 1/6 binary64)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 9007199254342059/9007199254740992 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 y (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) #s(literal -1/12 binary64)) #s(literal 1/6 binary64)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 9007199254342059/9007199254740992 binary64)) (cos.f64 x) (/.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 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 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 y (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) #s(literal -1/12 binary64)) #s(literal 1/6 binary64)))) (/.f64 (fma.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 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 -5764607523034235/288230376151711744 binary64)) (*.f64 y (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/4320 binary64) #s(literal 1/144 binary64)) #s(literal -1/12 binary64)) #s(literal 1/6 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))) |
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/288230376151711744 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 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))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -1261007895663739/9007199254740992 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/240 binary64) #s(literal 1/120 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))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -1261007895663739/9007199254740992 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/240 binary64) #s(literal 1/120 binary64)))) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -1261007895663739/9007199254740992 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/240 binary64) #s(literal 1/120 binary64)))) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1 binary64))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -1261007895663739/9007199254740992 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/240 binary64) #s(literal 1/120 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 -3602879701896397/36028797018963968 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 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 -3602879701896397/36028797018963968 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64)))) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/12 binary64) #s(literal -1/2 binary64)))) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) |
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| 15 978× | lower-fma.f64 |
| 15 978× | lower-fma.f32 |
| 15 734× | lower-fma.f64 |
| 15 734× | lower-fma.f32 |
| 14 270× | lower-fma.f64 |
Useful iterations: 1 (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 |
| 0 | 164 | 3764 |
| 1 | 533 | 3690 |
| 2 | 1668 | 3245 |
| 3 | 5103 | 3244 |
| 4 | 6584 | 3244 |
| 0 | 8069 | 2969 |
| 0 | 207 | 2648 |
| 1 | 688 | 2528 |
| 2 | 2480 | 2352 |
| 3 | 6998 | 2351 |
| 0 | 8300 | 2215 |
| 0 | 181 | 3686 |
| 1 | 606 | 3406 |
| 2 | 2116 | 3112 |
| 3 | 6999 | 3020 |
| 0 | 8213 | 2713 |
| 0 | 18 | 73 |
| 0 | 33 | 71 |
| 1 | 111 | 69 |
| 2 | 707 | 69 |
| 3 | 7080 | 69 |
| 0 | 8009 | 69 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 659 to 771 computations (53.5% saved)
(abs x)
(abs y)
Compiled 1 716 to 368 computations (78.6% saved)
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