
Time bar (total: 11.9s)
| 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)
| 535.0ms | 8 256× | 0 | valid |
ival-cos: 184.0ms (52.2% of total)ival-div: 68.0ms (19.3% of total)ival-mult: 47.0ms (13.3% of total)ival-sinh: 45.0ms (12.8% of total)ival-true: 6.0ms (1.7% of total)ival-assert: 3.0ms (0.9% of total)| 1× | egg-herbie |
| 2 656× | accelerator-lowering-fma.f32 |
| 2 656× | accelerator-lowering-fma.f64 |
| 1 792× | *-lowering-*.f32 |
| 1 792× | *-lowering-*.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 |
| 1 | 15 | 7 |
| 2 | 32 | 7 |
| 3 | 70 | 7 |
| 4 | 148 | 7 |
| 5 | 297 | 7 |
| 6 | 756 | 7 |
| 7 | 1800 | 7 |
| 8 | 3047 | 7 |
| 9 | 4032 | 7 |
| 10 | 4524 | 7 |
| 11 | 4603 | 7 |
| 12 | 4606 | 7 |
| 13 | 4608 | 7 |
| 14 | 5028 | 7 |
| 15 | 5248 | 7 |
| 16 | 5368 | 7 |
| 17 | 5502 | 7 |
| 18 | 5606 | 7 |
| 19 | 5646 | 7 |
| 20 | 5662 | 7 |
| 21 | 5670 | 7 |
| 22 | 5670 | 7 |
| 23 | 5788 | 7 |
| 24 | 6030 | 7 |
| 25 | 6066 | 7 |
| 26 | 6066 | 7 |
| 27 | 6066 | 7 |
| 0 | 6066 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
(* (cos x) (/ (sinh y) y)) |
| Outputs |
|---|
(* (cos x) (/ (sinh y) y)) |
(*.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 |
| 62.0ms | 512× | 0 | valid |
Compiled 56 to 28 computations (50% saved)
ival-mult: 31.0ms (63.3% of total)ival-cos: 11.0ms (22.5% of total)ival-div: 4.0ms (8.2% of total)ival-sinh: 3.0ms (6.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 9 to 6 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sinh.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 (sinh.f64 y) y) |
| ✓ | cost-diff | 0 | (cos.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 2 656× | accelerator-lowering-fma.f32 |
| 2 656× | accelerator-lowering-fma.f64 |
| 1 792× | *-lowering-*.f32 |
| 1 792× | *-lowering-*.f64 |
| 1 196× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 1 | 15 | 17 |
| 2 | 32 | 17 |
| 3 | 70 | 17 |
| 4 | 148 | 17 |
| 5 | 297 | 17 |
| 6 | 756 | 17 |
| 7 | 1800 | 17 |
| 8 | 3047 | 17 |
| 9 | 4032 | 17 |
| 10 | 4524 | 17 |
| 11 | 4603 | 17 |
| 12 | 4606 | 17 |
| 13 | 4608 | 17 |
| 14 | 5028 | 17 |
| 15 | 5248 | 17 |
| 16 | 5368 | 17 |
| 17 | 5502 | 17 |
| 18 | 5606 | 17 |
| 19 | 5646 | 17 |
| 20 | 5662 | 17 |
| 21 | 5670 | 17 |
| 22 | 5670 | 17 |
| 23 | 5788 | 17 |
| 24 | 6030 | 17 |
| 25 | 6066 | 17 |
| 26 | 6066 | 17 |
| 27 | 6066 | 17 |
| 0 | 6066 | 17 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (cos x) (/ (sinh y) y)) |
(cos x) |
x |
(/ (sinh y) y) |
(sinh y) |
y |
| Outputs |
|---|
(* (cos x) (/ (sinh y) y)) |
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
(cos x) |
(cos.f64 x) |
x |
(/ (sinh y) y) |
(/.f64 (sinh.f64 y) y) |
(sinh 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% | (cos.f64 x) |
| ✓ | accuracy | 100.0% | (sinh.f64 y) |
| 17.0ms | 256× | 0 | valid |
Compiled 19 to 8 computations (57.9% saved)
ival-cos: 6.0ms (55.9% of total)ival-div: 2.0ms (18.6% of total)ival-mult: 1.0ms (9.3% of total)ival-sinh: 1.0ms (9.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (cos x) (/ (sinh y) y))> |
#<alt (cos x)> |
#<alt (/ (sinh y) y)> |
#<alt (sinh 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 | @ | 0 | (* (cos x) (/ (sinh y) y)) |
| 1× | batch-egg-rewrite |
| 5 112× | *-lowering-*.f32 |
| 5 112× | *-lowering-*.f64 |
| 4 418× | /-lowering-/.f32 |
| 4 418× | /-lowering-/.f64 |
| 1 726× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 1 | 22 | 15 |
| 2 | 117 | 15 |
| 3 | 866 | 15 |
| 0 | 8409 | 15 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (cos x) (/ (sinh y) y)) |
(cos x) |
(/ (sinh y) y) |
(sinh 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 y #s(literal -2 binary64)) (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (cos.f64 x) (*.f64 (sinh.f64 y) (/.f64 #s(literal 2 binary64) y))))) |
(/.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 (/.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 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 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (neg.f64 y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (sinh.f64 y))) |
(/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (*.f64 y (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (*.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 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 (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 (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 (cos.f64 x) #s(literal 1/2 binary64)) y)) (/.f64 #s(literal 1 binary64) (sinh.f64 y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) |
(/.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal -2 binary64) (/.f64 (sinh.f64 y) 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 y #s(literal -2 binary64)))) #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 (cos.f64 x) y) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 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 (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 y #s(literal -2 binary64)))))) |
(/.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 (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 y #s(literal -2 binary64))))) #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 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 y #s(literal -2 binary64)))))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y))) #s(literal -1/2 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 y #s(literal -2 binary64)))))) #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 y #s(literal -2 binary64)))) #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 y #s(literal -2 binary64)))))) #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 y #s(literal -2 binary64))))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (*.f64 y #s(literal -2 binary64))))) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (*.f64 y #s(literal -2 binary64)))) #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 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)) (/.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (cosh.f64 y)))) |
(*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 y)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 4 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 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 y #s(literal -2 binary64))))))) |
(*.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 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 (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 y #s(literal -2 binary64))))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 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 y #s(literal -2 binary64))))) #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 y #s(literal -2 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 (*.f64 (+.f64 y y) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y #s(literal -2 binary64)))) #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 y #s(literal -2 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1 binary64) (exp.f64 (+.f64 y y)) #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 y #s(literal -2 binary64)))) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (+.f64 y y)) (exp.f64 (*.f64 y #s(literal -2 binary64))))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 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 y #s(literal -2 binary64))))) |
| 1× | egg-herbie |
| 14 270× | accelerator-lowering-fma.f32 |
| 14 270× | accelerator-lowering-fma.f64 |
| 5 594× | *-lowering-*.f32 |
| 5 594× | *-lowering-*.f64 |
| 2 458× | +-lowering-+.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 12 265 to 1 998 computations (83.7% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 680 | 4 | 684 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 681 | 4 | 685 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 63.2% | (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) |
| ▶ | 76.9% | (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
| ▶ | 63.0% | (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y)) |
| ▶ | 52.2% | (cos.f64 x) |
Compiled 36 to 26 computations (27.8% saved)
| 1× | egg-herbie |
Found 12 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) |
| 8 020× | accelerator-lowering-fma.f32 |
| 8 020× | accelerator-lowering-fma.f64 |
| 4 302× | *-lowering-*.f32 |
| 4 302× | *-lowering-*.f64 |
| 1 304× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 73 |
| 1 | 47 | 73 |
| 2 | 99 | 73 |
| 3 | 249 | 73 |
| 4 | 610 | 73 |
| 5 | 2132 | 73 |
| 6 | 6212 | 73 |
| 0 | 8454 | 69 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(cos x) |
x |
(* 1 (/ (sinh y) y)) |
1 |
(/ (sinh y) y) |
(sinh y) |
y |
(* (cos x) (+ (* 1/6 (* y y)) 1)) |
(cos x) |
x |
(+ (* 1/6 (* y y)) 1) |
1/6 |
(* y y) |
y |
1 |
(* (+ (* x (* x -1/2)) 1) (/ (sinh y) y)) |
(+ (* x (* x -1/2)) 1) |
x |
(* x -1/2) |
-1/2 |
1 |
(/ (sinh y) y) |
(sinh y) |
y |
| Outputs |
|---|
(cos x) |
(cos.f64 x) |
x |
(* 1 (/ (sinh y) y)) |
(/.f64 (sinh.f64 y) y) |
1 |
#s(literal 1 binary64) |
(/ (sinh y) y) |
(/.f64 (sinh.f64 y) y) |
(sinh y) |
(sinh.f64 y) |
y |
(* (cos x) (+ (* 1/6 (* y y)) 1)) |
(*.f64 (cos.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(cos x) |
(cos.f64 x) |
x |
(+ (* 1/6 (* y y)) 1) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(* y y) |
(*.f64 y y) |
y |
1 |
#s(literal 1 binary64) |
(* (+ (* x (* x -1/2)) 1) (/ (sinh y) y)) |
(*.f64 (sinh.f64 y) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) y)) |
(+ (* x (* x -1/2)) 1) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
x |
(* x -1/2) |
(*.f64 x #s(literal -1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
1 |
#s(literal 1 binary64) |
(/ (sinh y) y) |
(/.f64 (sinh.f64 y) y) |
(sinh y) |
(sinh.f64 y) |
y |
Found 12 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% | (cos.f64 x) |
| ✓ | accuracy | 100.0% | (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.8% | (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
| ✓ | 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) |
| 107.0ms | 256× | 0 | valid |
Compiled 73 to 19 computations (74% saved)
ival-cos: 72.0ms (77.2% of total)ival-mult: 11.0ms (11.8% of total)const: 4.0ms (4.3% of total)ival-div: 2.0ms (2.1% of total)ival-add: 2.0ms (2.1% of total)ival-sinh: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (cos x)> |
#<alt (* 1 (/ (sinh y) y))> |
#<alt (/ (sinh y) y)> |
#<alt (sinh y)> |
#<alt (* (cos x) (+ (* 1/6 (* y y)) 1))> |
#<alt (+ (* 1/6 (* y y)) 1)> |
#<alt (* y y)> |
#<alt (* (+ (* x (* x -1/2)) 1) (/ (sinh y) y))> |
#<alt (+ (* x (* x -1/2)) 1)> |
#<alt (* x -1/2)> |
| Outputs |
|---|
#<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)> |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | inf | (* (+ (* x (* x -1/2)) 1) (/ (sinh y) y)) |
| 4.0ms | y | @ | -inf | (* (+ (* x (* x -1/2)) 1) (/ (sinh y) y)) |
| 1.0ms | x | @ | inf | (* (+ (* x (* x -1/2)) 1) (/ (sinh y) y)) |
| 1.0ms | y | @ | inf | (* (cos x) (+ (* 1/6 (* y y)) 1)) |
| 1.0ms | x | @ | inf | (* (cos x) (+ (* 1/6 (* y y)) 1)) |
| 1× | batch-egg-rewrite |
| 6 110× | accelerator-lowering-fma.f32 |
| 6 110× | accelerator-lowering-fma.f64 |
| 5 492× | *-lowering-*.f32 |
| 5 492× | *-lowering-*.f64 |
| 2 756× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 54 |
| 1 | 77 | 54 |
| 2 | 571 | 54 |
| 3 | 6185 | 54 |
| 0 | 8845 | 50 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(cos x) |
(* 1 (/ (sinh y) y)) |
(/ (sinh y) y) |
(sinh y) |
(* (cos x) (+ (* 1/6 (* y y)) 1)) |
(+ (* 1/6 (* y y)) 1) |
(* y y) |
(* (+ (* x (* x -1/2)) 1) (/ (sinh y) y)) |
(+ (* x (* x -1/2)) 1) |
(* x -1/2) |
| Outputs |
|---|
(cos.f64 x) |
(*.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (sinh.f64 y))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (sinh.f64 y) (neg.f64 y))) |
(-.f64 (/.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) y) (/.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) y)) |
(-.f64 (/.f64 (exp.f64 y) (*.f64 y #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 y)) (*.f64 y #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (sinh.f64 y) (neg.f64 y))) |
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y))) |
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) #s(literal 1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (sinh.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (sinh.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) y))) |
(/.f64 (sinh.f64 y) y) |
(/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))) |
(/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 y))) |
(/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 y) #s(literal -2 binary64))) |
(/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (sinh.f64 y))) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (sinh.f64 y))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) (neg.f64 y))) |
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (*.f64 y #s(literal -2 binary64))) |
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (*.f64 (neg.f64 y) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (neg.f64 (*.f64 y #s(literal 2 binary64)))) |
(/.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64)))) (*.f64 (*.f64 y #s(literal 2 binary64)) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y)))))) |
(/.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) y) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) y) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) y)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) (*.f64 y #s(literal -2 binary64))) |
(/.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 y))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) (*.f64 (neg.f64 y) #s(literal -2 binary64))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) y)) #s(literal -2 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sinh.f64 y) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (/.f64 (neg.f64 (sinh.f64 y)) #s(literal -1 binary64)) y) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) y)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (/.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (sinh.f64 y) y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 y (sinh.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) y)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (sinh.f64 y))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 y (sinh.f64 y)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (sinh.f64 y) y) #s(literal 1 binary64)) |
(*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64)))) |
(*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 y) (*.f64 y #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (neg.f64 (sinh.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y)) |
(*.f64 #s(literal -1 binary64) (/.f64 (sinh.f64 y) (neg.f64 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) y) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sinh.f64 y) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (sinh.f64 y) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (sinh.f64 y) y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (sinh.f64 y) y) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (sinh.f64 y))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (sinh.f64 y) (neg.f64 y))) |
(-.f64 (/.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) y) (/.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) y)) |
(-.f64 (/.f64 (exp.f64 y) (*.f64 y #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 y)) (*.f64 y #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (sinh.f64 y) (neg.f64 y))) |
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y))) |
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) #s(literal 1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (sinh.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (sinh.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) y))) |
(/.f64 (sinh.f64 y) y) |
(/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))) |
(/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 y))) |
(/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 y) #s(literal -2 binary64))) |
(/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (sinh.f64 y))) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (sinh.f64 y))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) (neg.f64 y))) |
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (*.f64 y #s(literal -2 binary64))) |
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (*.f64 (neg.f64 y) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (neg.f64 (*.f64 y #s(literal 2 binary64)))) |
(/.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64)))) (*.f64 (*.f64 y #s(literal 2 binary64)) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y)))))) |
(/.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) y) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) y) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) y)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) (*.f64 y #s(literal -2 binary64))) |
(/.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 y))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) (*.f64 (neg.f64 y) #s(literal -2 binary64))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) y)) #s(literal -2 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sinh.f64 y) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (/.f64 (neg.f64 (sinh.f64 y)) #s(literal -1 binary64)) y) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) y)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (/.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (sinh.f64 y) y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 y (sinh.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) y)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 y (sinh.f64 y)) (/.f64 y (sinh.f64 y))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 y (sinh.f64 y)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (sinh.f64 y) y) #s(literal 1 binary64)) |
(*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64)))) |
(*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 y) (*.f64 y #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (neg.f64 (sinh.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (sinh.f64 y)) |
(*.f64 #s(literal -1 binary64) (/.f64 (sinh.f64 y) (neg.f64 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) y) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sinh.f64 y) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (sinh.f64 y) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (sinh.f64 y) y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (sinh.f64 y) y) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sinh.f64 y))) |
(-.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (sinh.f64 #s(literal 0 binary64)) (cosh.f64 y)) (*.f64 (cosh.f64 #s(literal 0 binary64)) (sinh.f64 (neg.f64 y)))) |
(fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (neg.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))) |
(neg.f64 (neg.f64 (sinh.f64 y))) |
(neg.f64 (sinh.f64 (neg.f64 y))) |
(sinh.f64 y) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 y))) |
(/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)))) |
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal -2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y)))))) |
(/.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) |
(/.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 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64))) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))))) |
(/.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))) |
(pow.f64 (sinh.f64 y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (sinh.f64 y)) |
(*.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 2 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 y) #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sinh.f64 y))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) |
(+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))) |
(+.f64 (*.f64 (cos.f64 x) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) (cos.f64 x)) |
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| 1× | egg-herbie |
| 8 172× | accelerator-lowering-fma.f32 |
| 8 172× | accelerator-lowering-fma.f64 |
| 3 854× | *-lowering-*.f32 |
| 3 854× | *-lowering-*.f64 |
| 2 622× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 112 | 1445 |
| 1 | 365 | 1405 |
| 2 | 1273 | 1302 |
| 3 | 3826 | 1286 |
| 4 | 5485 | 1286 |
| 5 | 6976 | 1286 |
| 0 | 8072 | 1188 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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 |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 x (*.f64 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 (*.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 (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)) |
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 (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 #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 (* 1/6 (pow y 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(+ 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))))))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #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))) |
(+ 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)))))))))) |
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* (cos x) (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* (cos x) (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* (cos x) (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* (cos x) (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* (cos x) (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* (cos x) (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* (cos x) (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* (cos x) (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(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) (* 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) (* 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))) |
(* 1/6 (* (pow y 2) (cos x))) |
(*.f64 (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
(* (pow y 2) (+ (* 1/6 (cos x)) (/ (cos x) (pow y 2)))) |
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* (pow y 2) (+ (* 1/6 (cos x)) (/ (cos x) (pow y 2)))) |
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* (pow y 2) (+ (* 1/6 (cos x)) (/ (cos x) (pow y 2)))) |
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* 1/6 (* (pow y 2) (cos x))) |
(*.f64 (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
(* (pow y 2) (+ (* 1/6 (cos x)) (/ (cos x) (pow y 2)))) |
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* (pow y 2) (+ (* 1/6 (cos x)) (/ (cos x) (pow y 2)))) |
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* (pow y 2) (+ (* 1/6 (cos x)) (/ (cos x) (pow y 2)))) |
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.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 (* 1/6 (pow y 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(* 1/2 (/ (- (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))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #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))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #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))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) y) |
(* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) y)) |
(* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) y) |
(* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) y) |
(* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) y) |
(* -1/4 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) y)) |
(* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) y) |
(* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) y) |
(* (pow x 2) (+ (* -1/4 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (* (pow x 2) y))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) y) |
(+ 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 -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #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) (+ (* 1/6 (+ 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)))))))))) |
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (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 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) y) |
(* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) y) |
(* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) y) |
(* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) y) |
(* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) y) |
(* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) y) |
(* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) y) |
(* 1/2 (/ (* (+ 1 (* -1/2 (pow x 2))) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.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) |
(*.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) |
Compiled 18 646 to 1 734 computations (90.7% saved)
14 alts after pruning (13 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 907 | 13 | 920 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 1 | 4 |
| Done | 0 | 0 | 0 |
| Total | 910 | 14 | 924 |
| Status | Accuracy | Program |
|---|---|---|
| 53.8% | (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) | |
| 57.9% | (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)) | |
| ▶ | 33.9% | (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)) |
| ▶ | 31.7% | (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
| 48.5% | (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) | |
| 30.3% | (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) | |
| ▶ | 63.0% | (/.f64 (sinh.f64 y) y) |
| 55.8% | (*.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))) | |
| ▶ | 58.8% | (*.f64 (fma.f64 x (*.f64 x #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))) |
| 49.8% | (*.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))) | |
| 59.9% | (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #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)) | |
| 58.9% | (*.f64 #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)) | |
| ✓ | 52.2% | (cos.f64 x) |
| ▶ | 27.8% | #s(literal 1 binary64) |
Compiled 404 to 265 computations (34.4% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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 | (*.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 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 | (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) |
| ✓ | cost-diff | 0 | (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)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (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)) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/24 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (sinh.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 (sinh.f64 y) y) |
| 18 200× | accelerator-lowering-fma.f32 |
| 18 200× | accelerator-lowering-fma.f64 |
| 4 590× | +-lowering-+.f64 |
| 4 590× | +-lowering-+.f32 |
| 4 394× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 201 |
| 1 | 118 | 201 |
| 2 | 330 | 201 |
| 3 | 988 | 201 |
| 4 | 3177 | 201 |
| 5 | 3776 | 201 |
| 6 | 4253 | 201 |
| 7 | 4515 | 201 |
| 8 | 4910 | 201 |
| 9 | 5614 | 201 |
| 0 | 8372 | 178 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (sinh y) y) |
(sinh y) |
y |
1 |
(+ (* x (* x (+ (* x (* x 1/24)) -1/2))) 1) |
x |
(* x (+ (* x (* x 1/24)) -1/2)) |
(+ (* x (* x 1/24)) -1/2) |
(* x 1/24) |
1/24 |
-1/2 |
1 |
(+ (* (* x x) (+ (* x (* x (+ (* x (* x -1/720)) 1/24))) -1/2)) 1) |
(* x x) |
x |
(+ (* x (* x (+ (* x (* x -1/720)) 1/24))) -1/2) |
(* x (+ (* x (* x -1/720)) 1/24)) |
(+ (* x (* x -1/720)) 1/24) |
(* x -1/720) |
-1/720 |
1/24 |
-1/2 |
1 |
(* (+ (* x (* x -1/2)) 1) (+ (* (* y y) (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6)) 1)) |
(+ (* x (* x -1/2)) 1) |
x |
(* x -1/2) |
-1/2 |
1 |
(+ (* (* y y) (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6)) 1) |
(* y y) |
y |
(+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6) |
(* y (+ (* y (* y 1/5040)) 1/120)) |
(+ (* y (* y 1/5040)) 1/120) |
(* y 1/5040) |
1/5040 |
1/120 |
1/6 |
| Outputs |
|---|
(/ (sinh y) y) |
(/.f64 (sinh.f64 y) y) |
(sinh y) |
(sinh.f64 y) |
y |
1 |
#s(literal 1 binary64) |
(+ (* x (* x (+ (* x (* x 1/24)) -1/2))) 1) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
x |
(* x (+ (* x (* x 1/24)) -1/2)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) |
(+ (* x (* x 1/24)) -1/2) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(* x 1/24) |
(*.f64 x #s(literal 1/24 binary64)) |
1/24 |
#s(literal 1/24 binary64) |
-1/2 |
#s(literal -1/2 binary64) |
1 |
#s(literal 1 binary64) |
(+ (* (* x x) (+ (* x (* x (+ (* x (* x -1/720)) 1/24))) -1/2)) 1) |
(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)) |
(* x x) |
(*.f64 x x) |
x |
(+ (* x (* x (+ (* x (* x -1/720)) 1/24))) -1/2) |
(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)) |
(* x (+ (* x (* x -1/720)) 1/24)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) |
(+ (* x (* x -1/720)) 1/24) |
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
(* x -1/720) |
(*.f64 x #s(literal -1/720 binary64)) |
-1/720 |
#s(literal -1/720 binary64) |
1/24 |
#s(literal 1/24 binary64) |
-1/2 |
#s(literal -1/2 binary64) |
1 |
#s(literal 1 binary64) |
(* (+ (* x (* x -1/2)) 1) (+ (* (* y y) (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6)) 1)) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(+ (* x (* x -1/2)) 1) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
x |
(* x -1/2) |
(*.f64 x #s(literal -1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
1 |
#s(literal 1 binary64) |
(+ (* (* y y) (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6)) 1) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(* y y) |
(*.f64 y y) |
y |
(+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6) |
(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 (* y 1/5040)) 1/120)) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(+ (* y (* y 1/5040)) 1/120) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* y 1/5040) |
(*.f64 y #s(literal 1/5040 binary64)) |
1/5040 |
#s(literal 1/5040 binary64) |
1/120 |
#s(literal 1/120 binary64) |
1/6 |
#s(literal 1/6 binary64) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (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)) |
| ✓ | accuracy | 100.0% | (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)) |
| ✓ | accuracy | 99.9% | (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 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 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 99.8% | (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) |
| ✓ | accuracy | 99.6% | (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal -1/720 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) |
| ✓ | accuracy | 99.4% | (*.f64 x #s(literal 1/24 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 (sinh.f64 y) y) |
| ✓ | accuracy | 100.0% | (sinh.f64 y) |
| 88.0ms | 256× | 0 | valid |
Compiled 180 to 41 computations (77.2% saved)
ival-mult: 38.0ms (53.8% of total)const: 14.0ms (19.8% of total)ival-add: 13.0ms (18.4% of total)ival-div: 3.0ms (4.2% of total)ival-sinh: 2.0ms (2.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (sinh y) y)> |
#<alt (sinh y)> |
#<alt (+ (* x (* x (+ (* x (* x 1/24)) -1/2))) 1)> |
#<alt (* x (+ (* x (* x 1/24)) -1/2))> |
#<alt (+ (* x (* x 1/24)) -1/2)> |
#<alt (* x 1/24)> |
#<alt (+ (* (* x x) (+ (* x (* x (+ (* x (* x -1/720)) 1/24))) -1/2)) 1)> |
#<alt (* x x)> |
#<alt (+ (* x (* x (+ (* x (* x -1/720)) 1/24))) -1/2)> |
#<alt (* x (+ (* x (* x -1/720)) 1/24))> |
#<alt (* (+ (* x (* x -1/2)) 1) (+ (* (* y y) (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6)) 1))> |
#<alt (+ (* x (* x -1/2)) 1)> |
#<alt (* x -1/2)> |
#<alt (+ (* (* y y) (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6)) 1)> |
#<alt (* x -1/720)> |
#<alt (+ (* x (* x -1/720)) 1/24)> |
#<alt (* y (+ (* y (* y 1/5040)) 1/120))> |
#<alt (+ (* y (* y 1/5040)) 1/120)> |
#<alt (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6)> |
| 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 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (* 1/24 (pow x 4))> |
#<alt (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/24 (pow x 4))> |
#<alt (* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* -1/2 x)> |
#<alt (* x (- (* 1/24 (pow x 2)) 1/2))> |
#<alt (* x (- (* 1/24 (pow x 2)) 1/2))> |
#<alt (* x (- (* 1/24 (pow x 2)) 1/2))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))> |
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))> |
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24)))> |
#<alt -1/2> |
#<alt (- (* 1/24 (pow x 2)) 1/2)> |
#<alt (- (* 1/24 (pow x 2)) 1/2)> |
#<alt (- (* 1/24 (pow x 2)) 1/2)> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (* -1/720 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))> |
#<alt (* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))> |
#<alt (* -1/720 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))> |
#<alt (* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4)))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt -1/2> |
#<alt (- (* 1/24 (pow x 2)) 1/2)> |
#<alt (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)> |
#<alt (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)> |
#<alt (* -1/720 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))> |
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))> |
#<alt (* -1/720 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))> |
#<alt (* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4)))))> |
#<alt (* 1/24 x)> |
#<alt (* x (+ 1/24 (* -1/720 (pow x 2))))> |
#<alt (* x (+ 1/24 (* -1/720 (pow x 2))))> |
#<alt (* x (+ 1/24 (* -1/720 (pow x 2))))> |
#<alt (* -1/720 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))> |
#<alt (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))> |
#<alt (* -1/720 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))> |
#<alt (+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))> |
#<alt (+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))> |
#<alt (+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))> |
#<alt (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))> |
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2)))))> |
#<alt (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))> |
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (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) (+ (* 1/6 (+ 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 (* 1/5040 (* (pow y 6) (+ 1 (* -1/2 (pow x 2)))))> |
#<alt (* (pow y 6) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2)))))> |
#<alt (* (pow y 6) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 4))))))> |
#<alt (* (pow y 6) (+ (* -1/2 (/ (pow x 2) (pow y 6))) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (+ (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 4))) (/ 1 (pow y 6)))))))> |
#<alt (* 1/5040 (* (pow y 6) (+ 1 (* -1/2 (pow x 2)))))> |
#<alt (* (pow y 6) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2)))))> |
#<alt (* (pow y 6) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 4))))))> |
#<alt (* (pow y 6) (+ (* -1/2 (/ (pow x 2) (pow y 6))) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (+ (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 4))) (/ 1 (pow y 6)))))))> |
#<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> |
#<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 (* -1/720 x)> |
#<alt (* -1/720 x)> |
#<alt (* -1/720 x)> |
#<alt (* -1/720 x)> |
#<alt (* -1/720 x)> |
#<alt (* -1/720 x)> |
#<alt (* -1/720 x)> |
#<alt (* -1/720 x)> |
#<alt (* -1/720 x)> |
#<alt (* -1/720 x)> |
#<alt (* -1/720 x)> |
#<alt (* -1/720 x)> |
#<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 (* 1/120 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 1/120> |
#<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 1/6> |
#<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))))))> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (* (+ (* x (* x -1/2)) 1) (+ (* (* y y) (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6)) 1)) |
| 1.0ms | y | @ | inf | (* (+ (* x (* x -1/2)) 1) (+ (* (* y y) (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6)) 1)) |
| 0.0ms | x | @ | inf | (+ (* x (* x (+ (* x (* x 1/24)) -1/2))) 1) |
| 0.0ms | y | @ | inf | (* y (+ (* y (* y 1/5040)) 1/120)) |
| 0.0ms | x | @ | inf | (+ (* (* x x) (+ (* x (* x (+ (* x (* x -1/720)) 1/24))) -1/2)) 1) |
| 1× | batch-egg-rewrite |
| 5 860× | accelerator-lowering-fma.f32 |
| 5 860× | accelerator-lowering-fma.f64 |
| 4 318× | *-lowering-*.f32 |
| 4 318× | *-lowering-*.f64 |
| 4 088× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 177 |
| 1 | 235 | 177 |
| 2 | 1926 | 177 |
| 0 | 8342 | 154 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (sinh y) y) |
(sinh y) |
(+ (* x (* x (+ (* x (* x 1/24)) -1/2))) 1) |
(* x (+ (* x (* x 1/24)) -1/2)) |
(+ (* x (* x 1/24)) -1/2) |
(* x 1/24) |
(+ (* (* x x) (+ (* x (* x (+ (* x (* x -1/720)) 1/24))) -1/2)) 1) |
(* x x) |
(+ (* x (* x (+ (* x (* x -1/720)) 1/24))) -1/2) |
(* x (+ (* x (* x -1/720)) 1/24)) |
(* (+ (* x (* x -1/2)) 1) (+ (* (* y y) (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6)) 1)) |
(+ (* x (* x -1/2)) 1) |
(* x -1/2) |
(+ (* (* y y) (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6)) 1) |
(* x -1/720) |
(+ (* x (* x -1/720)) 1/24) |
(* y (+ (* y (* y 1/5040)) 1/120)) |
(+ (* y (* y 1/5040)) 1/120) |
(+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 y (sinh.f64 y))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) y) (/.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) y)) |
(-.f64 (/.f64 (exp.f64 y) (*.f64 y #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 y)) (*.f64 y #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.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) (neg.f64 (neg.f64 (/.f64 y (sinh.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sinh.f64 y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) 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 (*.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)) |
(*.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y)) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64)))) |
(*.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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y (sinh.f64 y))))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y))) |
(*.f64 (neg.f64 (neg.f64 (sinh.f64 y))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (sinh.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 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 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64))) |
(sinh.f64 y) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 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)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (sinh.f64 y)) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)) |
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -1/2 binary64)) |
(+.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x))) |
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x))) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x))))) |
(fma.f64 x (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/48 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x))) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x))) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x))))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))))) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x))) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x))) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)))) |
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(/.f64 (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/216 binary64)) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 y #s(literal 1/6 binary64)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 y #s(literal 1/6 binary64)))))) |
(/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 y #s(literal 1/6 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 y #s(literal 1/6 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 (*.f64 y 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 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/216 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 y #s(literal 1/6 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (fma.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y 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 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 y #s(literal 1/6 binary64))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 y #s(literal 1/6 binary64))))))) |
(*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 y #s(literal 1/6 binary64)))))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))) |
| 1× | egg-herbie |
| 11 254× | accelerator-lowering-fma.f32 |
| 11 254× | accelerator-lowering-fma.f64 |
| 3 786× | *-lowering-*.f32 |
| 3 786× | *-lowering-*.f64 |
| 3 126× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 168 | 2504 |
| 1 | 527 | 2438 |
| 2 | 1670 | 2224 |
| 3 | 4785 | 2168 |
| 4 | 7007 | 2168 |
| 0 | 8119 | 1986 |
| 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 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) |
(* -1/2 x) |
(* x (- (* 1/24 (pow x 2)) 1/2)) |
(* x (- (* 1/24 (pow x 2)) 1/2)) |
(* x (- (* 1/24 (pow x 2)) 1/2)) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/24 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))) |
-1/2 |
(- (* 1/24 (pow x 2)) 1/2) |
(- (* 1/24 (pow x 2)) 1/2) |
(- (* 1/24 (pow x 2)) 1/2) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(* -1/720 (pow x 6)) |
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(* -1/720 (pow x 6)) |
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 6) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(* (pow x 6) (- (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
-1/2 |
(- (* 1/24 (pow x 2)) 1/2) |
(- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2) |
(- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2) |
(* -1/720 (pow x 4)) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(* -1/720 (pow x 4)) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(* (pow x 4) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))) |
(* 1/24 x) |
(* x (+ 1/24 (* -1/720 (pow x 2)))) |
(* x (+ 1/24 (* -1/720 (pow x 2)))) |
(* x (+ 1/24 (* -1/720 (pow x 2)))) |
(* -1/720 (pow x 3)) |
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(* -1/720 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) |
(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2))))) |
(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2))))) |
(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2))))) |
(* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) |
(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2))))) |
(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2))))) |
(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (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) (+ (* 1/6 (+ 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)))))))))) |
(* 1/5040 (* (pow y 6) (+ 1 (* -1/2 (pow x 2))))) |
(* (pow y 6) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))))) |
(* (pow y 6) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 4)))))) |
(* (pow y 6) (+ (* -1/2 (/ (pow x 2) (pow y 6))) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (+ (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 4))) (/ 1 (pow y 6))))))) |
(* 1/5040 (* (pow y 6) (+ 1 (* -1/2 (pow x 2))))) |
(* (pow y 6) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))))) |
(* (pow y 6) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 4)))))) |
(* (pow y 6) (+ (* -1/2 (/ (pow x 2) (pow y 6))) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (+ (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 4))) (/ 1 (pow y 6))))))) |
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 (* 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)))))) |
(* -1/720 x) |
(* -1/720 x) |
(* -1/720 x) |
(* -1/720 x) |
(* -1/720 x) |
(* -1/720 x) |
(* -1/720 x) |
(* -1/720 x) |
(* -1/720 x) |
(* -1/720 x) |
(* -1/720 x) |
(* -1/720 x) |
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)) |
(* 1/120 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))))) |
1/120 |
(+ 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))))) |
1/6 |
(+ 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)))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(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)) |
(* 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 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 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) |
(* 1/2 (- (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 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(* 1/24 (pow x 4)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
(* 1/24 (pow x 4)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* x (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) |
(* x (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) |
(* x (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) |
(* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) |
(* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) |
(* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/24 (pow x 2)) 1/2) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(- (* 1/24 (pow x 2)) 1/2) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(- (* 1/24 (pow x 2)) 1/2) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
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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 (*.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 (+.f64 #s(literal 1/5040 binary64) (/.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 (+.f64 #s(literal 1/5040 binary64) (/.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 (+.f64 #s(literal 1/5040 binary64) (/.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 (+.f64 #s(literal 1/5040 binary64) (/.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)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 binary64)) |
(* -1/720 x) |
(*.f64 x #s(literal -1/720 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)) |
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(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)) |
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
(* (pow x 2) (- (* 1/24 (/ 1 (pow x 2))) 1/720)) |
(fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* y (+ 1/120 (* 1/5040 (pow y 2)))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* y (+ 1/120 (* 1/5040 (pow y 2)))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* y (+ 1/120 (* 1/5040 (pow y 2)))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* 1/5040 (pow y 3)) |
(*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* 1/5040 (pow y 3)) |
(*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* 1/5040 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* 1/5040 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/120 (pow y 2))) |
(fma.f64 y (*.f64 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 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) |
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (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 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) |
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (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)) |
Compiled 42 777 to 2 641 computations (93.8% saved)
25 alts after pruning (21 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 984 | 16 | 1 000 |
| Fresh | 3 | 5 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 989 | 25 | 1 014 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.8% | (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ▶ | 57.9% | (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)) |
| 53.8% | (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) | |
| 33.9% | (fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) | |
| 33.8% | (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64))) #s(literal 1 binary64)) | |
| 30.3% | (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) | |
| 57.9% | (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)) | |
| ✓ | 31.7% | (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
| 31.5% | (fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64)) | |
| ▶ | 48.5% | (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
| 58.9% | (/.f64 (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) y) | |
| ✓ | 63.0% | (/.f64 (sinh.f64 y) y) |
| 40.1% | (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 y y) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| 55.8% | (*.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))) | |
| 58.8% | (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/5040 binary64) (*.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| 40.1% | (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (/.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #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)) #s(literal 1 binary64))) | |
| 33.7% | (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) (fma.f64 (*.f64 y 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))) | |
| 58.4% | (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1 binary64))) | |
| 49.8% | (*.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))) | |
| ▶ | 59.9% | (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #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)) |
| ▶ | 58.8% | (*.f64 (/.f64 #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 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))) |
| 53.1% | (*.f64 (*.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y 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 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) | |
| 9.1% | (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| ✓ | 52.2% | (cos.f64 x) |
| ✓ | 27.8% | #s(literal 1 binary64) |
Compiled 946 to 555 computations (41.3% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #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 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 | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #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 1/120 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 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #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)) (/.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)) |
| ✓ | cost-diff | 1024 | (/.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) |
| 12 156× | accelerator-lowering-fma.f32 |
| 12 156× | accelerator-lowering-fma.f64 |
| 5 116× | *-lowering-*.f32 |
| 5 116× | *-lowering-*.f64 |
| 2 186× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 343 |
| 1 | 101 | 343 |
| 2 | 293 | 343 |
| 3 | 1102 | 343 |
| 4 | 3539 | 333 |
| 5 | 4190 | 333 |
| 6 | 5157 | 333 |
| 7 | 6135 | 333 |
| 8 | 6184 | 333 |
| 9 | 6191 | 333 |
| 10 | 6374 | 333 |
| 11 | 6374 | 333 |
| 12 | 7736 | 333 |
| 13 | 7758 | 333 |
| 14 | 7772 | 333 |
| 15 | 7810 | 333 |
| 16 | 7861 | 333 |
| 17 | 7919 | 333 |
| 18 | 7984 | 333 |
| 0 | 8028 | 293 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (+ (* x (* x -1/2)) 1) (/ (+ (* (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6) (* y (* y y))) y) y)) |
(+ (* x (* x -1/2)) 1) |
x |
(* x -1/2) |
-1/2 |
1 |
(/ (+ (* (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6) (* y (* y y))) y) y) |
(+ (* (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6) (* y (* y y))) y) |
(+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6) |
y |
(* y (+ (* y (* y 1/5040)) 1/120)) |
(+ (* y (* y 1/5040)) 1/120) |
(* y 1/5040) |
1/5040 |
1/120 |
1/6 |
(* y (* y y)) |
(* y y) |
(+ (* 1/6 (* y y)) 1) |
1/6 |
(* y y) |
y |
1 |
(+ (* (* y y) (+ (* (* y y) 1/120) 1/6)) 1) |
(* y y) |
y |
(+ (* (* y y) 1/120) 1/6) |
1/120 |
1/6 |
1 |
(+ (* (* y y) (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6)) 1) |
(* y y) |
y |
(+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6) |
(* y (+ (* y (* y 1/5040)) 1/120)) |
(+ (* y (* y 1/5040)) 1/120) |
(* y 1/5040) |
1/5040 |
1/120 |
1/6 |
1 |
(* (/ 1 (/ 1 (+ (* x (* x -1/2)) 1))) (+ (* (* y y) (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6)) 1)) |
(/ 1 (/ 1 (+ (* x (* x -1/2)) 1))) |
1 |
(/ 1 (+ (* x (* x -1/2)) 1)) |
(+ (* x (* x -1/2)) 1) |
x |
(* x -1/2) |
-1/2 |
(+ (* (* y y) (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6)) 1) |
(* y y) |
y |
(+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6) |
(* y (+ (* y (* y 1/5040)) 1/120)) |
(+ (* y (* y 1/5040)) 1/120) |
(* y 1/5040) |
1/5040 |
1/120 |
1/6 |
| Outputs |
|---|
(* (+ (* x (* x -1/2)) 1) (/ (+ (* (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6) (* y (* y y))) y) y)) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (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 y) #s(literal 1 binary64))) |
(+ (* x (* x -1/2)) 1) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
x |
(* x -1/2) |
(*.f64 x #s(literal -1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
1 |
#s(literal 1 binary64) |
(/ (+ (* (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6) (* y (* y y))) y) y) |
(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 y) #s(literal 1 binary64)) |
(+ (* (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6) (* y (* y y))) y) |
(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 (* y (+ (* y (* y 1/5040)) 1/120))) 1/6) |
(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)) |
y |
(* y (+ (* y (* y 1/5040)) 1/120)) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(+ (* y (* y 1/5040)) 1/120) |
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(* y 1/5040) |
(*.f64 y #s(literal 1/5040 binary64)) |
1/5040 |
#s(literal 1/5040 binary64) |
1/120 |
#s(literal 1/120 binary64) |
1/6 |
#s(literal 1/6 binary64) |
(* y (* y y)) |
(*.f64 y (*.f64 y y)) |
(* y y) |
(*.f64 y y) |
(+ (* 1/6 (* y y)) 1) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(* y y) |
(*.f64 y y) |
y |
1 |
#s(literal 1 binary64) |
(+ (* (* y y) (+ (* (* y y) 1/120) 1/6)) 1) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* y y) |
(*.f64 y y) |
y |
(+ (* (* y y) 1/120) 1/6) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
1/120 |
#s(literal 1/120 binary64) |
1/6 |
#s(literal 1/6 binary64) |
1 |
#s(literal 1 binary64) |
(+ (* (* y y) (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6)) 1) |
(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 y) #s(literal 1 binary64)) |
(* y y) |
(*.f64 y y) |
y |
(+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6) |
(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)) |
(* y (+ (* y (* y 1/5040)) 1/120)) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(+ (* y (* y 1/5040)) 1/120) |
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(* y 1/5040) |
(*.f64 y #s(literal 1/5040 binary64)) |
1/5040 |
#s(literal 1/5040 binary64) |
1/120 |
#s(literal 1/120 binary64) |
1/6 |
#s(literal 1/6 binary64) |
1 |
#s(literal 1 binary64) |
(* (/ 1 (/ 1 (+ (* x (* x -1/2)) 1))) (+ (* (* y y) (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6)) 1)) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (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 y) #s(literal 1 binary64))) |
(/ 1 (/ 1 (+ (* x (* x -1/2)) 1))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(/ 1 (+ (* x (* x -1/2)) 1)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(+ (* x (* x -1/2)) 1) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
x |
(* x -1/2) |
(*.f64 x #s(literal -1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(+ (* (* y y) (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6)) 1) |
(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 y) #s(literal 1 binary64)) |
(* y y) |
(*.f64 y y) |
y |
(+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6) |
(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)) |
(* y (+ (* y (* y 1/5040)) 1/120)) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(+ (* y (* y 1/5040)) 1/120) |
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(* y 1/5040) |
(*.f64 y #s(literal 1/5040 binary64)) |
1/5040 |
#s(literal 1/5040 binary64) |
1/120 |
#s(literal 1/120 binary64) |
1/6 |
#s(literal 1/6 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 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 | 98.8% | (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (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)) |
| ✓ | accuracy | 100.0% | (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)) |
| ✓ | accuracy | 99.9% | (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 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 y y) |
| ✓ | accuracy | 99.8% | (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 y (*.f64 y y)) |
| ✓ | accuracy | 97.9% | (/.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) |
| 74.0ms | 256× | 0 | valid |
Compiled 315 to 35 computations (88.9% saved)
ival-mult: 22.0ms (45.1% of total)const: 13.0ms (26.7% of total)ival-add: 9.0ms (18.5% of total)ival-div: 5.0ms (10.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (+ (* (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6) (* y (* y y))) y) y)> |
#<alt (* (+ (* x (* x -1/2)) 1) (/ (+ (* (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6) (* y (* y y))) y) y))> |
#<alt (+ (* x (* x -1/2)) 1)> |
#<alt (* x -1/2)> |
#<alt (+ (* 1/6 (* y y)) 1)> |
#<alt (* y y)> |
#<alt (+ (* (* y y) (+ (* (* y y) 1/120) 1/6)) 1)> |
#<alt (+ (* (* y y) 1/120) 1/6)> |
#<alt (+ (* (* y y) (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6)) 1)> |
#<alt (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6)> |
#<alt (* y (+ (* y (* y 1/5040)) 1/120))> |
#<alt (/ 1 (/ 1 (+ (* x (* x -1/2)) 1)))> |
#<alt (* (/ 1 (/ 1 (+ (* x (* x -1/2)) 1))) (+ (* (* y y) (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6)) 1))> |
#<alt (/ 1 (+ (* x (* x -1/2)) 1))> |
#<alt (* y (* y y))> |
#<alt (+ (* y (* y 1/5040)) 1/120)> |
| 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 (/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) y)> |
#<alt (+ 1 (+ (* -1/2 (/ (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y)) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))> |
#<alt (+ 1 (+ (* -1/2 (/ (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y)) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))> |
#<alt (+ 1 (+ (* -1/2 (/ (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y)) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))> |
#<alt (* -1/2 (/ (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y))> |
#<alt (* (pow x 2) (+ (* -1/2 (/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) y)) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/2 (/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) y)) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/2 (/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) y)) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2)))))> |
#<alt (* -1/2 (/ (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y))> |
#<alt (* (pow x 2) (+ (* -1/2 (/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) y)) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/2 (/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) y)) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/2 (/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) y)) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (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) (+ (* 1/6 (+ 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 (* 1/5040 (* (pow y 6) (+ 1 (* -1/2 (pow x 2)))))> |
#<alt (* (pow y 6) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2)))))> |
#<alt (* (pow y 6) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 4))))))> |
#<alt (* (pow y 6) (+ (* -1/2 (/ (pow x 2) (pow y 6))) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (+ (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 4))) (/ 1 (pow y 6)))))))> |
#<alt (* 1/5040 (* (pow y 6) (+ 1 (* -1/2 (pow x 2)))))> |
#<alt (* (pow y 6) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2)))))> |
#<alt (* (pow y 6) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 4))))))> |
#<alt (* (pow y 6) (+ (* -1/2 (/ (pow x 2) (pow y 6))) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (+ (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 4))) (/ 1 (pow y 6)))))))> |
#<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> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))> |
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))> |
#<alt (* 1/120 (pow y 4))> |
#<alt (* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))> |
#<alt (* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))> |
#<alt (* 1/120 (pow y 4))> |
#<alt (* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))> |
#<alt (* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))> |
#<alt 1/6> |
#<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> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))> |
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))> |
#<alt (* 1/5040 (pow y 6))> |
#<alt (* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))> |
#<alt (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))> |
#<alt (* 1/5040 (pow y 6))> |
#<alt (* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))> |
#<alt (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))> |
#<alt 1/6> |
#<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> |
#<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 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))> |
#<alt (+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))> |
#<alt (+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))> |
#<alt (+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))> |
#<alt (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))> |
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2)))))> |
#<alt (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))> |
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (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) (+ (* 1/6 (+ 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 (* 1/5040 (* (pow y 6) (+ 1 (* -1/2 (pow x 2)))))> |
#<alt (* (pow y 6) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2)))))> |
#<alt (* (pow y 6) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 4))))))> |
#<alt (* (pow y 6) (+ (* -1/2 (/ (pow x 2) (pow y 6))) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (+ (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 4))) (/ 1 (pow y 6)))))))> |
#<alt (* 1/5040 (* (pow y 6) (+ 1 (* -1/2 (pow x 2)))))> |
#<alt (* (pow y 6) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2)))))> |
#<alt (* (pow y 6) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 4))))))> |
#<alt (* (pow y 6) (+ (* -1/2 (/ (pow x 2) (pow y 6))) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (+ (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 4))) (/ 1 (pow y 6)))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/4 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/4 (* 1/8 (pow x 2)))))))> |
#<alt (/ -2 (pow x 2))> |
#<alt (* -1 (/ (+ 2 (* 4 (/ 1 (pow x 2)))) (pow x 2)))> |
#<alt (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))> |
#<alt (/ (- (* -1 (/ (+ 8 (* 16 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 4 (/ 1 (pow x 2))))) (pow x 2))> |
#<alt (/ -2 (pow x 2))> |
#<alt (* -1 (/ (+ 2 (* 4 (/ 1 (pow x 2)))) (pow x 2)))> |
#<alt (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))> |
#<alt (/ (- (* -1 (/ (+ 8 (* 16 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 4 (/ 1 (pow x 2))))) (pow x 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)))))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | x | @ | 0 | (* (+ (* x (* x -1/2)) 1) (/ (+ (* (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6) (* y (* y y))) y) y)) |
| 1.0ms | x | @ | inf | (* (+ (* x (* x -1/2)) 1) (/ (+ (* (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6) (* y (* y y))) y) y)) |
| 0.0ms | y | @ | -inf | (* (+ (* x (* x -1/2)) 1) (/ (+ (* (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6) (* y (* y y))) y) y)) |
| 0.0ms | y | @ | inf | (/ (+ (* (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6) (* y (* y y))) y) y) |
| 0.0ms | y | @ | -inf | (/ (+ (* (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6) (* y (* y y))) y) y) |
| 1× | batch-egg-rewrite |
| 6 230× | accelerator-lowering-fma.f32 |
| 6 230× | accelerator-lowering-fma.f64 |
| 4 402× | *-lowering-*.f32 |
| 4 402× | *-lowering-*.f64 |
| 3 922× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 184 |
| 1 | 214 | 184 |
| 2 | 1914 | 184 |
| 0 | 8138 | 159 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (* (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6) (* y (* y y))) y) y) |
(* (+ (* x (* x -1/2)) 1) (/ (+ (* (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6) (* y (* y y))) y) y)) |
(+ (* x (* x -1/2)) 1) |
(* x -1/2) |
(+ (* 1/6 (* y y)) 1) |
(* y y) |
(+ (* (* y y) (+ (* (* y y) 1/120) 1/6)) 1) |
(+ (* (* y y) 1/120) 1/6) |
(+ (* (* y y) (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6)) 1) |
(+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6) |
(* y (+ (* y (* y 1/5040)) 1/120)) |
(/ 1 (/ 1 (+ (* x (* x -1/2)) 1))) |
(* (/ 1 (/ 1 (+ (* x (* x -1/2)) 1))) (+ (* (* y y) (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6)) 1)) |
(/ 1 (+ (* x (* x -1/2)) 1)) |
(* y (* y y)) |
(+ (* y (* y 1/5040)) 1/120) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 y (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) y))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))))) (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) (neg.f64 y))) y) (/.f64 (/.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) (neg.f64 y))) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) y) (neg.f64 y))) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))))) (*.f64 y (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) (neg.f64 y)))) (/.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) (neg.f64 y))))) |
(neg.f64 (/.f64 (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) y) (neg.f64 y))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) y)) y)) |
(/.f64 (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) y) y) |
(/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) y)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) y)) (neg.f64 y)) |
(/.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))))) (*.f64 y (fma.f64 y (-.f64 y (*.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))))))))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) y) (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) (neg.f64 y))) (*.f64 y (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) (neg.f64 y)))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (-.f64 y (*.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))))))) y)) |
(/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) y) (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) (neg.f64 y))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) (neg.f64 y)) y)) |
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 3 binary64))) |
(pow.f64 y #s(literal 3 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 3 binary64)) |
(*.f64 y (*.f64 y y)) |
(*.f64 (*.f64 y y) y) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) |
(+.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) |
(+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)))) |
(-.f64 (/.f64 #s(literal 1/14400 binary64) (-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)))) (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)) (-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))))) |
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 y #s(literal 1/5040 binary64)) y #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (neg.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)))) |
(/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) #s(literal 1/14400 binary64))) (*.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)))) (neg.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) (fma.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))))))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)))) |
| 1× | egg-herbie |
| 11 518× | accelerator-lowering-fma.f32 |
| 11 518× | accelerator-lowering-fma.f64 |
| 3 586× | *-lowering-*.f32 |
| 3 586× | *-lowering-*.f64 |
| 3 194× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 161 | 3038 |
| 1 | 536 | 2918 |
| 2 | 1765 | 2808 |
| 3 | 5130 | 2744 |
| 4 | 7222 | 2376 |
| 0 | 8092 | 2134 |
| 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)))))) |
(/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) y) |
(+ 1 (+ (* -1/2 (/ (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y)) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(+ 1 (+ (* -1/2 (/ (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y)) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(+ 1 (+ (* -1/2 (/ (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y)) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(* -1/2 (/ (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y)) |
(* (pow x 2) (+ (* -1/2 (/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) y)) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2))))) |
(* (pow x 2) (+ (* -1/2 (/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) y)) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2))))) |
(* (pow x 2) (+ (* -1/2 (/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) y)) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2))))) |
(* -1/2 (/ (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y)) |
(* (pow x 2) (+ (* -1/2 (/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) y)) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2))))) |
(* (pow x 2) (+ (* -1/2 (/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) y)) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2))))) |
(* (pow x 2) (+ (* -1/2 (/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) y)) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (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) (+ (* 1/6 (+ 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)))))))))) |
(* 1/5040 (* (pow y 6) (+ 1 (* -1/2 (pow x 2))))) |
(* (pow y 6) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))))) |
(* (pow y 6) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 4)))))) |
(* (pow y 6) (+ (* -1/2 (/ (pow x 2) (pow y 6))) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (+ (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 4))) (/ 1 (pow y 6))))))) |
(* 1/5040 (* (pow y 6) (+ 1 (* -1/2 (pow x 2))))) |
(* (pow y 6) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))))) |
(* (pow y 6) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 4)))))) |
(* (pow y 6) (+ (* -1/2 (/ (pow x 2) (pow y 6))) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (+ (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 4))) (/ 1 (pow y 6))))))) |
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 (* 1/6 (pow y 2))) |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* 1/6 (pow y 2))) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
1/6 |
(+ 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 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(* 1/5040 (pow y 6)) |
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))) |
(* 1/5040 (pow y 6)) |
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))) |
1/6 |
(+ 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 |
(+ 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 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(+ 1 (+ (* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) |
(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2))))) |
(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2))))) |
(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2))))) |
(* -1/2 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) |
(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2))))) |
(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2))))) |
(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (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) (+ (* 1/6 (+ 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)))))))))) |
(* 1/5040 (* (pow y 6) (+ 1 (* -1/2 (pow x 2))))) |
(* (pow y 6) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))))) |
(* (pow y 6) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 4)))))) |
(* (pow y 6) (+ (* -1/2 (/ (pow x 2) (pow y 6))) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (+ (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 4))) (/ 1 (pow y 6))))))) |
(* 1/5040 (* (pow y 6) (+ 1 (* -1/2 (pow x 2))))) |
(* (pow y 6) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))))) |
(* (pow y 6) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 4)))))) |
(* (pow y 6) (+ (* -1/2 (/ (pow x 2) (pow y 6))) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (+ (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 4))) (/ 1 (pow y 6))))))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/4 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/4 (* 1/8 (pow x 2))))))) |
(/ -2 (pow x 2)) |
(* -1 (/ (+ 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 8 (* 16 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 4 (/ 1 (pow x 2))))) (pow x 2)) |
(/ -2 (pow x 2)) |
(* -1 (/ (+ 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 8 (* 16 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 4 (/ 1 (pow x 2))))) (pow x 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))))) |
| 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 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 (*.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 (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) y) |
(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)) |
(+ 1 (+ (* -1/2 (/ (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y)) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 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))) |
(+ 1 (+ (* -1/2 (/ (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y)) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 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))) |
(+ 1 (+ (* -1/2 (/ (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y)) (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 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))) |
(* -1/2 (/ (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y)) |
(*.f64 (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)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(* (pow x 2) (+ (* -1/2 (/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) y)) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #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))) |
(* (pow x 2) (+ (* -1/2 (/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) y)) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #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))) |
(* (pow x 2) (+ (* -1/2 (/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) y)) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #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))) |
(* -1/2 (/ (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y)) |
(*.f64 (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)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(* (pow x 2) (+ (* -1/2 (/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) y)) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #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))) |
(* (pow x 2) (+ (* -1/2 (/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) y)) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #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))) |
(* (pow x 2) (+ (* -1/2 (/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) y)) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #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))) |
(+ 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 -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #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 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (pow x 2)) (* (pow y 2) (+ (* 1/6 (+ 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)))))))))) |
(fma.f64 (*.f64 y y) (*.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 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(* 1/5040 (* (pow y 6) (+ 1 (* -1/2 (pow x 2))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/10080 binary64) #s(literal 1/5040 binary64))) |
(* (pow y 6) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))) |
(* (pow y 6) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 4)))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 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) (+ (* -1/2 (/ (pow x 2) (pow y 6))) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (+ (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 4))) (/ 1 (pow y 6))))))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 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) (+ 1 (* -1/2 (pow x 2))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/10080 binary64) #s(literal 1/5040 binary64))) |
(* (pow y 6) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))) |
(* (pow y 6) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 4)))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 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) (+ (* -1/2 (/ (pow x 2) (pow y 6))) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (+ (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 4))) (/ 1 (pow y 6))))))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 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 (* -1/2 (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)) |
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(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #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))) |
(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #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))) |
(* (pow x 2) (+ (* -1/2 (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (+ (/ 1 (pow x 2)) (/ (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) (pow x 2))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #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))) |
(+ 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 -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #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 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (pow x 2)) (* (pow y 2) (+ (* 1/6 (+ 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)))))))))) |
(fma.f64 (*.f64 y y) (*.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 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(* 1/5040 (* (pow y 6) (+ 1 (* -1/2 (pow x 2))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/10080 binary64) #s(literal 1/5040 binary64))) |
(* (pow y 6) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))) |
(* (pow y 6) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 4)))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 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) (+ (* -1/2 (/ (pow x 2) (pow y 6))) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (+ (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 4))) (/ 1 (pow y 6))))))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 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) (+ 1 (* -1/2 (pow x 2))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/10080 binary64) #s(literal 1/5040 binary64))) |
(* (pow y 6) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))) |
(* (pow y 6) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 4)))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 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) (+ (* -1/2 (/ (pow x 2) (pow y 6))) (+ (* 1/5040 (+ 1 (* -1/2 (pow x 2)))) (+ (* 1/120 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 2))) (+ (* 1/6 (/ (+ 1 (* -1/2 (pow x 2))) (pow y 4))) (/ 1 (pow y 6))))))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 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 (* 1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/4 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/4 (* 1/8 (pow x 2))))))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* -1 (/ (+ 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 8 (* 16 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 4 (/ 1 (pow x 2))))) (pow x 2)) |
(/.f64 (-.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 16 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x x)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* -1 (/ (+ 2 (* 4 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -8 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 8 (* 16 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 4 (/ 1 (pow x 2))))) (pow x 2)) |
(/.f64 (-.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 16 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x x)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
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)) |
Compiled 81 003 to 3 656 computations (95.5% saved)
40 alts after pruning (35 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 734 | 25 | 1 759 |
| Fresh | 6 | 10 | 16 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 744 | 40 | 1 784 |
| Status | Accuracy | Program |
|---|---|---|
| 58.7% | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) (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))) | |
| 57.9% | (fma.f64 (*.f64 (*.f64 y (*.f64 y (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) y) y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| 57.9% | (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| 57.9% | (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) y #s(literal 1 binary64)) | |
| ✓ | 53.8% | (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| 57.9% | (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/5040 binary64) (*.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) | |
| 32.8% | (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) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) | |
| 37.2% | (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) | |
| 57.8% | (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)) | |
| 57.4% | (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1 binary64)) | |
| 53.4% | (fma.f64 (*.f64 y y) (*.f64 y (*.f64 y #s(literal 1/120 binary64))) #s(literal 1 binary64)) | |
| 48.5% | (fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64)) | |
| 33.9% | (fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) | |
| 33.8% | (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64))) #s(literal 1 binary64)) | |
| 30.3% | (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) | |
| ✓ | 31.7% | (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
| 33.1% | (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (fma.f64 y (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) #s(literal -1 binary64))) | |
| 58.9% | (/.f64 (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) y) | |
| 59.9% | (/.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) y) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) y) | |
| ✓ | 63.0% | (/.f64 (sinh.f64 y) y) |
| 59.8% | (/.f64 (neg.f64 (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) y)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) y)) | |
| 58.8% | (/.f64 #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 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) | |
| 59.9% | (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) y) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))) | |
| 40.1% | (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 y y) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| 55.8% | (*.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))) | |
| 40.1% | (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (/.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #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)) #s(literal 1 binary64))) | |
| 58.4% | (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1 binary64))) | |
| 49.8% | (*.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))) | |
| 41.1% | (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) | |
| 59.4% | (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y (*.f64 y y)) y) y)) | |
| 50.9% | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| 30.3% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)) | |
| 53.1% | (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.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)))) (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))) | |
| 59.8% | (*.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) y) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y)) | |
| 28.8% | (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) | |
| 28.5% | (*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))) | |
| 23.5% | (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) | |
| 9.1% | (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) | |
| ✓ | 52.2% | (cos.f64 x) |
| ✓ | 27.8% | #s(literal 1 binary64) |
Compiled 1 949 to 681 computations (65.1% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))) |
(*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (*.f64 y (*.f64 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 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 (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))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64))) #s(literal 1 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 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 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)) |
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #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 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) y #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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)) (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 (fma.f64 (*.f64 y (*.f64 y 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 (*.f64 y y) (*.f64 y y)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 y (*.f64 y (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) y) y (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) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 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 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 (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) y) |
(*.f64 #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 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/5040 binary64) (*.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 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 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 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) (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 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y (*.f64 y y)) y) y)) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #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 (*.f64 (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) y) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) y) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) y) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #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 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 #s(literal 1 binary64) (/.f64 y (*.f64 (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) y) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #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 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) y)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) y)) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (/.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #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)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (fma.f64 y (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y 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 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.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)))) (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 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 y y) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64))) (/.f64 #s(literal 1 binary64) (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 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 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) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) (-.f64 #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 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) (fma.f64 (*.f64 y 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 (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 (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)) |
| Outputs |
|---|
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
5 calls:
| 34.0ms | x |
| 16.0ms | y |
| 16.0ms | (cos.f64 x) |
| 15.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 14.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 100.0% | 1 | (cos.f64 x) |
| 100.0% | 1 | (/.f64 (sinh.f64 y) y) |
Compiled 25 to 17 computations (32% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))) |
(*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (*.f64 y (*.f64 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 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 (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))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64))) #s(literal 1 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 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 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)) |
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #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 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) y #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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)) (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 (fma.f64 (*.f64 y (*.f64 y 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 (*.f64 y y) (*.f64 y y)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 y (*.f64 y (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) y) y (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) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 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 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 (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) y) |
(*.f64 #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 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/5040 binary64) (*.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 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 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 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) (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 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y (*.f64 y y)) y) y)) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #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 (*.f64 (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) y) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) y) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) y) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #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 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 #s(literal 1 binary64) (/.f64 y (*.f64 (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) y) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #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 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) y)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) y)) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (/.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #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)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (fma.f64 y (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y 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 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.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)))) (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 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 y y) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64))) (/.f64 #s(literal 1 binary64) (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 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 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) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) (-.f64 #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 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) (fma.f64 (*.f64 y 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 (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 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) y)) |
| Outputs |
|---|
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y (*.f64 y y)) 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:
| 22.0ms | (/.f64 (sinh.f64 y) y) |
| 19.0ms | y |
| 19.0ms | x |
| 18.0ms | (cos.f64 x) |
| 13.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.5% | 2 | x |
| 96.1% | 3 | y |
| 100.0% | 3 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 89.7% | 3 | (cos.f64 x) |
| 90.2% | 2 | (/.f64 (sinh.f64 y) y) |
Compiled 25 to 17 computations (32% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))) |
(*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (*.f64 y (*.f64 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 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 (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))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64))) #s(literal 1 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 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 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)) |
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #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 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) y #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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)) (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 (fma.f64 (*.f64 y (*.f64 y 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 (*.f64 y y) (*.f64 y y)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 y (*.f64 y (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) y) y (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) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 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 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 (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) y) |
(*.f64 #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 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/5040 binary64) (*.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 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 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 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) (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 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y (*.f64 y y)) y) y)) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #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 (*.f64 (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) y) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) y) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) y) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #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 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 #s(literal 1 binary64) (/.f64 y (*.f64 (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) y) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #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 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) y)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) y)) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (/.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #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)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (fma.f64 y (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y 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 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.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)))) (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 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 y y) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64))) (/.f64 #s(literal 1 binary64) (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 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 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) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) (-.f64 #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 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) (fma.f64 (*.f64 y 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 (sinh.f64 y) y) |
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y)) |
| Outputs |
|---|
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y (*.f64 y y)) y) y)) |
(cos.f64 x) |
(/.f64 (sinh.f64 y) y) |
1 calls:
| 25.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 3 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))) |
(*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (*.f64 y (*.f64 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 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 (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))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64))) #s(literal 1 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 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 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)) |
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #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 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) y #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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)) (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 (fma.f64 (*.f64 y (*.f64 y 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 (*.f64 y y) (*.f64 y y)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 y (*.f64 y (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) y) y (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) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 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 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 (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) y) |
(*.f64 #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 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/5040 binary64) (*.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 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 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 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) (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 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y (*.f64 y y)) y) y)) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #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 (*.f64 (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) y) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) y) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) y) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #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 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 #s(literal 1 binary64) (/.f64 y (*.f64 (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) y) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #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 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) y)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) y)) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (/.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #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)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (fma.f64 y (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y 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 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.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)))) (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 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 y y) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64))) (/.f64 #s(literal 1 binary64) (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 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 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) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) (-.f64 #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 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) (fma.f64 (*.f64 y 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))) |
| Outputs |
|---|
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y (*.f64 y y)) y) y)) |
(cos.f64 x) |
(/.f64 (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) y) |
2 calls:
| 16.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 15.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.6% | 3 | y |
| 95.9% | 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 1/6 binary64) (*.f64 y y)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))) |
(*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (*.f64 y (*.f64 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 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 (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))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64))) #s(literal 1 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 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 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)) |
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #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 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) y #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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)) (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 (fma.f64 (*.f64 y (*.f64 y 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 (*.f64 y y) (*.f64 y y)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 y (*.f64 y (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) y) y (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) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 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 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 (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) y) |
(*.f64 #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 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/5040 binary64) (*.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 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 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 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) (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 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y (*.f64 y y)) y) y)) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #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 (*.f64 (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) y) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) y) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) y) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #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 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 #s(literal 1 binary64) (/.f64 y (*.f64 (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) y) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #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 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y (*.f64 y (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)))) y)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) y)) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (/.f64 (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #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)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (fma.f64 y (*.f64 y (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y 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 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.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)))) (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 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 (*.f64 y y) (fma.f64 #s(literal 1/25401600 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/14400 binary64))) (/.f64 #s(literal 1 binary64) (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 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (fma.f64 y (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) y) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 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) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) (-.f64 #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 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y (*.f64 y y)) y) y)) |
(/.f64 (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) y) |
5 calls:
| 110.0ms | x |
| 40.0ms | y |
| 15.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 13.0ms | (cos.f64 x) |
| 12.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.6% | 3 | y |
| 72.2% | 2 | (cos.f64 x) |
| 62.0% | 2 | x |
| 62.8% | 2 | (/.f64 (sinh.f64 y) y) |
| 72.2% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 25 to 17 computations (32% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))) |
(*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (*.f64 y (*.f64 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 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 (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))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64))) #s(literal 1 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 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 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)) |
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #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 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) y #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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)) (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 (fma.f64 (*.f64 y (*.f64 y 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 (*.f64 y y) (*.f64 y y)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 y (*.f64 y (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) y) y (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) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 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 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 (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) y) |
(*.f64 #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 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/5040 binary64) (*.f64 y #s(literal 1/120 binary64))) #s(literal 1/6 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 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 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) (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))) |
| Outputs |
|---|
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1 binary64))) |
(/.f64 (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) y) |
2 calls:
| 10.0ms | (cos.f64 x) |
| 9.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 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 1/6 binary64) (*.f64 y y)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))) |
(*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (*.f64 y (*.f64 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 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 (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))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64))) #s(literal 1 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 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 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)) |
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #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 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) y #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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)) (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 (fma.f64 (*.f64 y (*.f64 y 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 (*.f64 y y) (*.f64 y y)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 y (*.f64 y (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) y) y (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) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 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 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))) |
| Outputs |
|---|
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 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:
| 11.0ms | (cos.f64 x) |
| 8.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.8% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 70.8% | 2 | (cos.f64 x) |
Compiled 13 to 9 computations (30.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))) |
(*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (*.f64 y (*.f64 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 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 (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))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64))) #s(literal 1 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 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 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)) |
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #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 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) y #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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)) (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 (fma.f64 (*.f64 y (*.f64 y 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 (*.f64 y y) (*.f64 y y)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 y (*.f64 y (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))) y) y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 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 |
|---|---|---|
| 70.8% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 70.8% | 2 | (cos.f64 x) |
Compiled 13 to 9 computations (30.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))) |
(*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (*.f64 y (*.f64 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 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 (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))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64))) #s(literal 1 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 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 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)) |
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #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 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64))) y #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(*.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))) |
(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 |
|---|---|---|
| 68.6% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 68.6% | 2 | (cos.f64 x) |
Compiled 13 to 9 computations (30.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))) |
(*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (*.f64 y (*.f64 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 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 (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))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64))) #s(literal 1 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)) |
| Outputs |
|---|
(*.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))) |
(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:
| 6.0ms | (cos.f64 x) |
| 5.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.5% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 68.5% | 2 | (cos.f64 x) |
Compiled 13 to 9 computations (30.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))) |
(*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (*.f64 y (*.f64 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 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 (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))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64))) #s(literal 1 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 (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))) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) #s(literal 1 binary64)) |
2 calls:
| 33.0ms | (cos.f64 x) |
| 5.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.1% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 68.1% | 2 | (cos.f64 x) |
Compiled 13 to 9 computations (30.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))) |
(*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (*.f64 y (*.f64 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 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 (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))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64))) #s(literal 1 binary64)) |
| Outputs |
|---|
(*.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))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
2 calls:
| 5.0ms | (cos.f64 x) |
| 5.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.5% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 64.5% | 2 | (cos.f64 x) |
Compiled 13 to 9 computations (30.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))) |
(*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (*.f64 y (*.f64 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 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| Outputs |
|---|
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #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)) |
5 calls:
| 6.0ms | x |
| 5.0ms | y |
| 4.0ms | (cos.f64 x) |
| 4.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 4.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.8% | 1 | x |
| 53.8% | 1 | (/.f64 (sinh.f64 y) y) |
| 53.8% | 1 | y |
| 60.0% | 2 | (cos.f64 x) |
| 60.0% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 25 to 17 computations (32% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))) |
(*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (*.f64 y (*.f64 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 |
|---|
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (*.f64 y (*.f64 y #s(literal 1/120 binary64))) #s(literal 1 binary64)) |
2 calls:
| 4.0ms | (cos.f64 x) |
| 4.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.5% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 59.5% | 2 | (cos.f64 x) |
Compiled 13 to 9 computations (30.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))) |
(*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y (*.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))) |
2 calls:
| 4.0ms | (cos.f64 x) |
| 3.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.9% | 3 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 54.6% | 2 | (cos.f64 x) |
Compiled 13 to 9 computations (30.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
| Outputs |
|---|
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
5 calls:
| 3.0ms | (/.f64 (sinh.f64 y) y) |
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | (cos.f64 x) |
| 3.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.6% | 2 | (cos.f64 x) |
| 48.5% | 1 | (/.f64 (sinh.f64 y) y) |
| 52.3% | 3 | y |
| 51.7% | 3 | x |
| 54.6% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 25 to 17 computations (32% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
| Outputs |
|---|
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
2 calls:
| 2.0ms | (cos.f64 x) |
| 2.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.3% | 3 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 37.6% | 3 | (cos.f64 x) |
Compiled 13 to 9 computations (30.8% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
| Outputs |
|---|
#s(literal 1 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
4 calls:
| 5.0ms | (/.f64 (sinh.f64 y) y) |
| 2.0ms | y |
| 2.0ms | x |
| 1.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.1% | 2 | (/.f64 (sinh.f64 y) y) |
| 31.8% | 2 | x |
| 48.1% | 2 | y |
| 48.2% | 2 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 21 to 14 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 1 binary64) |
| Outputs |
|---|
#s(literal 1 binary64) |
5 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
| 1.0ms | (cos.f64 x) |
| 1.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 27.8% | 1 | x |
| 27.8% | 1 | (cos.f64 x) |
| 27.8% | 1 | y |
| 27.8% | 1 | (/.f64 (sinh.f64 y) y) |
| 27.8% | 1 | (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 25 to 17 computations (32% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.000000000000741 | 1.0000007043897146 |
| 0.0ms | -inf | -0.999731188602191 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999999992064 | 1.0 |
| 0.0ms | -inf | -0.999731188602191 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999999992064 | 1.0 |
| 0.0ms | -inf | -0.999731188602191 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.040908455148140004 | 0.01169589752907811 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.040908455148140004 | 0.01169589752907811 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.040908455148140004 | 0.01169589752907811 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.040908455148140004 | 0.01169589752907811 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.040908455148140004 | 0.01169589752907811 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.040908455148140004 | 0.01169589752907811 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.040908455148140004 | 0.01169589752907811 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.07606911126974186 | 0.05874168900684488 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.040908455148140004 | 0.01169589752907811 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.040908455148140004 | 0.01169589752907811 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.00000100490031 | +inf |
| 0.0ms | -0.07606911126974186 | 0.05874168900684488 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.040908455148140004 | 0.01169589752907811 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.00000100490031 | +inf |
| 0.0ms | -0.07606911126974186 | 0.05874168900684488 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.00000100490031 | +inf |
Compiled 12 to 11 computations (8.3% saved)
| 1× | egg-herbie |
| 36× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 643 |
| 1 | 103 | 643 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y (*.f64 y y)) 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 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y (*.f64 y y)) y) y)) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2251799813683461/2251799813685248 binary64)) (cos.f64 x) (/.f64 (sinh.f64 y) y))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y (*.f64 y y)) y) y)) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2251799813683461/2251799813685248 binary64)) (cos.f64 x) (/.f64 (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) y))) |
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y (*.f64 y y)) y) y)) (/.f64 (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) y)) |
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1 binary64))) (/.f64 (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) y)) |
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 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 (cos.f64 x) #s(literal -5764607523034235/144115188075855872 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 (cos.f64 x) #s(literal -5764607523034235/144115188075855872 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))) (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 -5764607523034235/144115188075855872 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))) (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 (cos.f64 x) #s(literal -5764607523034235/144115188075855872 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))) (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 -3602879701896397/72057594037927936 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))) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/144115188075855872 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/144115188075855872 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (*.f64 y (*.f64 y #s(literal 1/120 binary64))) #s(literal 1 binary64))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 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 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))) |
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/144115188075855872 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y (*.f64 y y)) 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 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y (*.f64 y y)) y) y)) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2251799813683461/2251799813685248 binary64)) (cos.f64 x) (/.f64 (sinh.f64 y) y))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y (*.f64 y y)) y) y)) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2251799813683461/2251799813685248 binary64)) (cos.f64 x) (/.f64 (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) y))) |
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64))) (*.f64 y (*.f64 y y)) y) y)) (/.f64 (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) y)) |
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) #s(literal 1 binary64))) (/.f64 (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) y)) |
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 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 (cos.f64 x) #s(literal -5764607523034235/144115188075855872 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 (cos.f64 x) #s(literal -5764607523034235/144115188075855872 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))) (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 -5764607523034235/144115188075855872 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))) (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 (cos.f64 x) #s(literal -5764607523034235/144115188075855872 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))) (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 -3602879701896397/72057594037927936 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))) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/144115188075855872 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/144115188075855872 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (*.f64 y (*.f64 y #s(literal 1/120 binary64))) #s(literal 1 binary64))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 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 #s(literal 1/120 binary64) (*.f64 y (*.f64 y y)))))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 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 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64))))) |
(if (<=.f64 (cos.f64 x) #s(literal -5764607523034235/144115188075855872 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
(if (<=.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) |
#s(literal 1 binary64) |
| 14 270× | accelerator-lowering-fma.f32 |
| 14 270× | accelerator-lowering-fma.f64 |
| 11 518× | accelerator-lowering-fma.f32 |
| 11 518× | accelerator-lowering-fma.f64 |
| 11 254× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 54 |
| 1 | 77 | 54 |
| 2 | 571 | 54 |
| 3 | 6185 | 54 |
| 0 | 8845 | 50 |
| 0 | 84 | 686 |
| 1 | 241 | 679 |
| 2 | 746 | 635 |
| 3 | 2420 | 627 |
| 4 | 5288 | 623 |
| 5 | 7976 | 623 |
| 0 | 8400 | 593 |
| 0 | 168 | 2504 |
| 1 | 527 | 2438 |
| 2 | 1670 | 2224 |
| 3 | 4785 | 2168 |
| 4 | 7007 | 2168 |
| 0 | 8119 | 1986 |
| 0 | 112 | 1445 |
| 1 | 365 | 1405 |
| 2 | 1273 | 1302 |
| 3 | 3826 | 1286 |
| 4 | 5485 | 1286 |
| 5 | 6976 | 1286 |
| 0 | 8072 | 1188 |
| 0 | 161 | 3038 |
| 1 | 536 | 2918 |
| 2 | 1765 | 2808 |
| 3 | 5130 | 2744 |
| 4 | 7222 | 2376 |
| 0 | 8092 | 2134 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 625 to 739 computations (54.5% saved)
(abs x)
(abs y)
Compiled 1 788 to 392 computations (78.1% saved)
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