
Time bar (total: 12.2s)
| 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)
| 692.0ms | 8 256× | 0 | valid |
ival-sin: 282.0ms (54.6% of total)ival-mult: 85.0ms (16.5% of total)ival-sinh: 74.0ms (14.3% of total)ival-div: 66.0ms (12.8% of total)ival-true: 6.0ms (1.2% of total)ival-assert: 3.0ms (0.6% 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 |
| 1 196× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 41 |
| 1 | 60 | 41 |
| 2 | 172 | 41 |
| 3 | 580 | 37 |
| 4 | 1988 | 37 |
| 5 | 4628 | 37 |
| 6 | 6336 | 37 |
| 7 | 7331 | 37 |
| 8 | 7843 | 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 |
|---|
(* (sin x) (/ (sinh y) y)) |
| Outputs |
|---|
(* (sin x) (/ (sinh y) y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(abs y)
(negabs 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 | - | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 0 | 0 | - | 0 | - | (sin.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 37.0ms | 512× | 0 | valid |
Compiled 56 to 28 computations (50% saved)
ival-sin: 13.0ms (55.4% of total)ival-div: 4.0ms (17% of total)ival-mult: 3.0ms (12.8% of total)ival-sinh: 3.0ms (12.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 (sin.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 | (sin.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sin.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 |
|---|
(* (sin x) (/ (sinh y) y)) |
(sin x) |
x |
(/ (sinh y) y) |
(sinh y) |
y |
| Outputs |
|---|
(* (sin x) (/ (sinh y) y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(sin x) |
(sin.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% | (sinh.f64 y) |
| ✓ | accuracy | 100.0% | (sin.f64 x) |
| ✓ | accuracy | 100.0% | (/.f64 (sinh.f64 y) y) |
| ✓ | accuracy | 100.0% | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 19.0ms | 256× | 0 | valid |
Compiled 19 to 8 computations (57.9% saved)
ival-sin: 6.0ms (53.6% of total)ival-div: 2.0ms (17.9% of total)ival-mult: 1.0ms (8.9% of total)ival-sinh: 1.0ms (8.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (sin x) (/ (sinh y) y))> |
#<alt (sin x)> |
#<alt (/ (sinh y) y)> |
#<alt (sinh y)> |
| Outputs |
|---|
#<alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))> |
#<alt (* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))> |
#<alt (* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (sin x)> |
#<alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))> |
#<alt (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))> |
#<alt (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin 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 | (* (sin x) (/ (sinh y) y)) |
| 3.0ms | y | @ | inf | (* (sin x) (/ (sinh y) y)) |
| 1.0ms | x | @ | inf | (* (sin x) (/ (sinh y) y)) |
| 1.0ms | y | @ | 0 | (* (sin x) (/ (sinh y) y)) |
| 1.0ms | x | @ | 0 | (* (sin 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 |
|---|
(* (sin x) (/ (sinh y) y)) |
(sin x) |
(/ (sinh y) y) |
(sinh y) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 (sin.f64 x) y) (*.f64 (exp.f64 y) #s(literal 1/2 binary64))) (*.f64 (/.f64 (sin.f64 x) y) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) y)) #s(literal 0 binary64)) (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) |
(+.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) y)) (neg.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (/.f64 (sin.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 (sin.f64 x) y)) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) (/.f64 (sin.f64 x) y))) |
(+.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sin.f64 x) y))) (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) |
(+.f64 (*.f64 (neg.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (sin.f64 x) y))) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (sin.f64 x) y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 y))) |
(fma.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sin.f64 x) y)) (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) |
(fma.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (/.f64 (sin.f64 x) y) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) (/.f64 (sin.f64 x) y))) |
(fma.f64 (/.f64 (sin.f64 x) y) (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (/.f64 (sin.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 (sin.f64 x) y)) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (sin.f64 x) y)))) |
(fma.f64 (neg.f64 (/.f64 (sin.f64 x) y)) #s(literal 0 binary64) (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) |
(fma.f64 (neg.f64 (/.f64 (sin.f64 x) y)) (neg.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (/.f64 (sin.f64 x) y)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 y))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 y (sinh.f64 y)))) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (sin.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 (sin.f64 x) y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 y)) |
(/.f64 (/.f64 (sin.f64 x) y) (/.f64 #s(literal 1 binary64) (sinh.f64 y))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) (+.f64 y y)) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 y (sinh.f64 y)))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal -2 binary64))) (*.f64 y #s(literal -2 binary64))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) (/.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (sinh.f64 y))) |
(/.f64 (*.f64 (sin.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 (sin.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 (sin.f64 x) y)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (/.f64 (sin.f64 x) y)) (/.f64 #s(literal -1 binary64) (sinh.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (/.f64 y (sinh.f64 y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (/.f64 (sin.f64 x) y))) #s(literal 2 binary64)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 y (*.f64 (sinh.f64 y) #s(literal -2 binary64)))) #s(literal -2 binary64)) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 (sinh.f64 y) #s(literal -2 binary64))) (+.f64 y y)) |
(/.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) y)) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) y)) (/.f64 #s(literal 1 binary64) (sinh.f64 y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 x) #s(literal 1/2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) |
(/.f64 (*.f64 (sin.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 (sin.f64 x) y))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal -2 binary64)))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (/.f64 (sin.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 (sin.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 (sin.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 |
| 15 526× | accelerator-lowering-fma.f32 |
| 15 526× | accelerator-lowering-fma.f64 |
| 6 162× | *-lowering-*.f32 |
| 6 162× | *-lowering-*.f64 |
| 2 900× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 700 |
| 1 | 288 | 693 |
| 2 | 897 | 643 |
| 3 | 3139 | 635 |
| 4 | 7365 | 635 |
| 0 | 8523 | 605 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin 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 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y))) |
(* x (+ (* -1/12 (/ (* (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))) (/.f64 x y)) (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) |
(*.f64 x (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/240 binary64)) (fma.f64 x (*.f64 x #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) |
(*.f64 x (fma.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) y) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/10080 binary64)) (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/240 binary64)) #s(literal -1/12 binary64)))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(sin x) |
(sin.f64 x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(*.f64 (sin.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))) |
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) |
(*.f64 (sin.f64 x) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) y) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.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 (*.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 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(fma.f64 y (*.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)))) 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 12 287 to 2 003 computations (83.7% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 678 | 6 | 684 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 679 | 6 | 685 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
| 60.9% | (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) (/.f64 (sinh.f64 y) y)) | |
| ▶ | 86.3% | (*.f64 (sin.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))) |
| ▶ | 79.3% | (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
| ▶ | 59.4% | (*.f64 x (/.f64 (sinh.f64 y) y)) |
| ▶ | 54.6% | (sin.f64 x) |
Compiled 126 to 84 computations (33.3% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (sin.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (sin.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sin.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 | 0 | (*.f64 x (/.f64 (sinh.f64 y) y)) |
| ✓ | cost-diff | 0 | (sin.f64 x) |
| ✓ | cost-diff | 0 | (sinh.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 y (sinh.f64 y)) |
| ✓ | cost-diff | 0 | (sin.f64 x) |
| ✓ | cost-diff | 384 | (/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
| 4 882× | accelerator-lowering-fma.f32 |
| 4 882× | accelerator-lowering-fma.f64 |
| 2 906× | *-lowering-*.f32 |
| 2 906× | *-lowering-*.f64 |
| 2 376× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 109 |
| 1 | 63 | 109 |
| 2 | 160 | 109 |
| 3 | 423 | 109 |
| 4 | 833 | 109 |
| 5 | 1429 | 109 |
| 6 | 2743 | 109 |
| 7 | 4443 | 109 |
| 8 | 7009 | 109 |
| 0 | 8216 | 102 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (sin x) (/ y (sinh y))) |
(sin x) |
x |
(/ y (sinh y)) |
y |
(sinh y) |
(sin x) |
x |
(* x (/ (sinh y) y)) |
x |
(/ (sinh y) y) |
(sinh y) |
y |
(* (sin x) (+ (* 1/6 (* y y)) 1)) |
(sin x) |
x |
(+ (* 1/6 (* y y)) 1) |
1/6 |
(* y y) |
y |
1 |
(* (sin x) (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1)) |
(sin x) |
x |
(+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1) |
(* y y) |
y |
(+ (* y (* y 1/120)) 1/6) |
(* y 1/120) |
1/120 |
1/6 |
1 |
| Outputs |
|---|
(/ (sin x) (/ y (sinh y))) |
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y) |
(sin x) |
(sin.f64 x) |
x |
(/ y (sinh y)) |
(/.f64 y (sinh.f64 y)) |
y |
(sinh y) |
(sinh.f64 y) |
(sin x) |
(sin.f64 x) |
x |
(* x (/ (sinh y) y)) |
(/.f64 (*.f64 x (sinh.f64 y)) y) |
x |
(/ (sinh y) y) |
(/.f64 (sinh.f64 y) y) |
(sinh y) |
(sinh.f64 y) |
y |
(* (sin x) (+ (* 1/6 (* y y)) 1)) |
(*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(sin x) |
(sin.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) |
(* (sin x) (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1)) |
(*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(sin x) |
(sin.f64 x) |
x |
(+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* y y) |
(*.f64 y y) |
y |
(+ (* y (* y 1/120)) 1/6) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(* y 1/120) |
(*.f64 y #s(literal 1/120 binary64)) |
1/120 |
#s(literal 1/120 binary64) |
1/6 |
#s(literal 1/6 binary64) |
1 |
#s(literal 1 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 x) |
| ✓ | accuracy | 100.0% | (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 y #s(literal 1/120 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 100.0% | (sin.f64 x) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (sinh.f64 y) |
| ✓ | accuracy | 100.0% | (/.f64 (sinh.f64 y) y) |
| ✓ | accuracy | 100.0% | (*.f64 x (/.f64 (sinh.f64 y) y)) |
| ✓ | accuracy | 100.0% | (sin.f64 x) |
| ✓ | accuracy | 100.0% | (sinh.f64 y) |
| ✓ | accuracy | 100.0% | (sin.f64 x) |
| ✓ | accuracy | 100.0% | (/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
| ✓ | accuracy | 100.0% | (/.f64 y (sinh.f64 y)) |
| 46.0ms | 114× | 2 | exit |
| 31.0ms | 141× | 0 | valid |
| 2.0ms | 1× | 5 | exit |
Compiled 104 to 23 computations (77.9% saved)
ival-mult: 17.0ms (31.9% of total)const: 9.0ms (16.9% of total)adjust: 7.0ms (13.1% of total)ival-add: 7.0ms (13.1% of total)ival-sin: 7.0ms (13.1% of total)ival-div: 4.0ms (7.5% of total)ival-sinh: 1.0ms (1.9% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (sin x) (/ y (sinh y)))> |
#<alt (sin x)> |
#<alt (/ y (sinh y))> |
#<alt (sinh y)> |
#<alt (* x (/ (sinh y) y))> |
#<alt (/ (sinh y) y)> |
#<alt (* (sin x) (+ (* 1/6 (* y y)) 1))> |
#<alt (+ (* 1/6 (* y y)) 1)> |
#<alt (* y y)> |
#<alt (* (sin x) (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1))> |
#<alt (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1)> |
#<alt (* y 1/120)> |
#<alt (+ (* y (* y 1/120)) 1/6)> |
| Outputs |
|---|
#<alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y))))> |
#<alt (* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y))))))> |
#<alt (* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y))))))))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (sin x)> |
#<alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))> |
#<alt (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))> |
#<alt (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 7/360 (pow y 2)) 1/6)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 7/360 (* -31/15120 (pow y 2)))) 1/6)))> |
#<alt (* 2 (/ y (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 2 (/ y (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 2 (/ y (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 2 (/ y (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 2 (/ y (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 2 (/ y (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 2 (/ y (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 2 (/ y (- (exp y) (/ 1 (exp 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 (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))> |
#<alt x> |
#<alt (+ x (* 1/6 (* x (pow y 2))))> |
#<alt (+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x))))> |
#<alt (+ x (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* 1/5040 (* x (pow y 2))) (* 1/120 x))))))> |
#<alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y))> |
#<alt (* 1/2 (/ (* x (- (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 (* x (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2)))))> |
#<alt (* x (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* 1/120 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))))))))> |
#<alt (* x (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (+ 1 (* 1/6 (pow y 2)))))))))))> |
#<alt (* (sin x) (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* (sin x) (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* (sin x) (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* (sin x) (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* (sin x) (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* (sin x) (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* (sin x) (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* (sin x) (+ 1 (* 1/6 (pow y 2))))> |
#<alt (sin x)> |
#<alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))> |
#<alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))> |
#<alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))> |
#<alt (* 1/6 (* (pow y 2) (sin x)))> |
#<alt (* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2))))> |
#<alt (* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2))))> |
#<alt (* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2))))> |
#<alt (* 1/6 (* (pow y 2) (sin x)))> |
#<alt (* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2))))> |
#<alt (* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2))))> |
#<alt (* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin 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 (* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))> |
#<alt (* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))> |
#<alt (* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))> |
#<alt (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (sin x)> |
#<alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))> |
#<alt (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))> |
#<alt (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))> |
#<alt (* 1/120 (* (pow y 4) (sin x)))> |
#<alt (* (pow y 4) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2)))))> |
#<alt (* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4)))))> |
#<alt (* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4)))))> |
#<alt (* 1/120 (* (pow y 4) (sin x)))> |
#<alt (* (pow y 4) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2)))))> |
#<alt (* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4)))))> |
#<alt (* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4)))))> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))> |
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))> |
#<alt (* 1/120 (pow y 4))> |
#<alt (* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))> |
#<alt (* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))> |
#<alt (* 1/120 (pow y 4))> |
#<alt (* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))> |
#<alt (* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt 1/6> |
#<alt (+ 1/6 (* 1/120 (pow y 2)))> |
#<alt (+ 1/6 (* 1/120 (pow y 2)))> |
#<alt (+ 1/6 (* 1/120 (pow y 2)))> |
#<alt (* 1/120 (pow y 2))> |
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* 1/120 (pow y 2))> |
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (* (sin x) (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1)) |
| 1.0ms | y | @ | -inf | (/ y (sinh y)) |
| 1.0ms | x | @ | inf | (* (sin x) (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1)) |
| 1.0ms | x | @ | 0 | (* x (/ (sinh y) y)) |
| 1.0ms | y | @ | -inf | (* x (/ (sinh y) y)) |
| 1× | batch-egg-rewrite |
| 9 664× | accelerator-lowering-fma.f32 |
| 9 664× | accelerator-lowering-fma.f64 |
| 5 830× | *-lowering-*.f32 |
| 5 830× | *-lowering-*.f64 |
| 3 484× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 84 |
| 1 | 116 | 84 |
| 2 | 857 | 84 |
| 0 | 8309 | 77 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (sin x) (/ y (sinh y))) |
(sin x) |
(/ y (sinh y)) |
(sinh y) |
(* x (/ (sinh y) y)) |
(/ (sinh y) y) |
(* (sin x) (+ (* 1/6 (* y y)) 1)) |
(+ (* 1/6 (* y y)) 1) |
(* y y) |
(* (sin x) (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1)) |
(+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1) |
(* y 1/120) |
(+ (* y (* y 1/120)) 1/6) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 y (sinh.f64 y)))) (neg.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))) |
(neg.f64 (neg.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))) |
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (sin.f64 x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) y)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
(/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) |
(/.f64 (/.f64 (sinh.f64 y) y) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 x) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) y)))) |
(/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 y (sin.f64 x)))) |
(/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 y (sin.f64 x)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 y (sinh.f64 y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(/.f64 (/.f64 (sin.f64 x) y) (/.f64 #s(literal 1 binary64) (sinh.f64 y))) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 y) #s(literal -2 binary64))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64)))) |
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y) |
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 y)) |
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (*.f64 #s(literal 1 binary64) (neg.f64 y))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) y)) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (/.f64 (sin.f64 x) y)) (/.f64 #s(literal -1 binary64) (sinh.f64 y))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 y (sin.f64 x)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) (*.f64 (/.f64 y (sin.f64 x)) #s(literal -2 binary64))) |
(/.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (neg.f64 (sin.f64 x))) (*.f64 #s(literal 2 binary64) (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (sin.f64 x)) (*.f64 #s(literal -2 binary64) y)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (neg.f64 (sin.f64 x))) (*.f64 #s(literal -2 binary64) (neg.f64 y))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) (*.f64 y #s(literal -2 binary64))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) (*.f64 (neg.f64 y) #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 y) #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) (*.f64 (neg.f64 y) #s(literal -2 binary64))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))) y) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64)))) (neg.f64 (*.f64 y #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) y))) #s(literal -2 binary64)) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 #s(literal -1 binary64) (sinh.f64 y))) (neg.f64 y)) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 y (*.f64 (sinh.f64 y) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) #s(literal 1 binary64)) y) |
(/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) y))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sinh.f64 y))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) y) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) y)) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) y)) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (/.f64 (sin.f64 x) y)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) y) (sin.f64 x)) #s(literal 2 binary64)) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sinh.f64 y))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) y) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) #s(literal 2 binary64)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) #s(literal -1 binary64)) y) |
(pow.f64 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y))) #s(literal -1 binary64)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x)) |
(*.f64 (/.f64 (sinh.f64 y) y) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) |
(*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) y))) |
(*.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (/.f64 (sin.f64 x) y))) |
(*.f64 (neg.f64 (sinh.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) y) (sin.f64 x))) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) (neg.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 x) (sinh.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (sinh.f64 y))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))) |
(*.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (sin.f64 x) (/.f64 #s(literal -1 binary64) (sinh.f64 y)))) |
(*.f64 (/.f64 (sinh.f64 y) (neg.f64 y)) (neg.f64 (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) y)) #s(literal 1/2 binary64)) |
(*.f64 (neg.f64 (/.f64 (sin.f64 x) y)) (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sinh.f64 y) #s(literal 2 binary64)))) (/.f64 (sin.f64 x) #s(literal 2 binary64))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 #s(literal -1 binary64) (sinh.f64 y))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (sinh.f64 y) (neg.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 y (*.f64 (sinh.f64 y) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 #s(literal 1/2 binary64) (sinh.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) y)) #s(literal -1 binary64)) (sinh.f64 y)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) (neg.f64 y))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) y) #s(literal 1 binary64)) (sinh.f64 y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) y) #s(literal -1 binary64)) (neg.f64 (sinh.f64 y))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x))) |
(sin.f64 x) |
(neg.f64 (neg.f64 (sin.f64 x))) |
(/.f64 (sin.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 x)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sinh.f64 y) y)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 y (sinh.f64 y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sinh.f64 y))) (neg.f64 (/.f64 y (sinh.f64 y)))) |
(neg.f64 (neg.f64 (/.f64 y (sinh.f64 y)))) |
(neg.f64 (/.f64 (neg.f64 (/.f64 y (sinh.f64 y))) #s(literal 1 binary64))) |
(/.f64 y (sinh.f64 y)) |
(/.f64 (/.f64 y (sinh.f64 y)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) y)) |
(/.f64 (neg.f64 y) (neg.f64 (sinh.f64 y))) |
(/.f64 (neg.f64 y) (*.f64 #s(literal 1 binary64) (neg.f64 (sinh.f64 y)))) |
(/.f64 (neg.f64 (/.f64 y (sinh.f64 y))) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) y)) |
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(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal 1/720 binary64)) #s(literal 1/36 binary64))))) |
(*.f64 (neg.f64 (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal 1/720 binary64)) #s(literal 1/36 binary64))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64))) |
(*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal -1/120 binary64))))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64)) (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64))) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/36 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/36 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 1/2985984000000 binary64)))) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/36 binary64)) (-.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/36 binary64)) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))))) (*.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1/207360000 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64)) (*.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal 1/720 binary64)) #s(literal 1/36 binary64)) (+.f64 (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) (+.f64 (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64))) (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) (fma.f64 y (*.f64 y #s(literal 1/720 binary64)) #s(literal 1/36 binary64)))) |
| 1× | egg-herbie |
| 16 212× | accelerator-lowering-fma.f32 |
| 16 212× | accelerator-lowering-fma.f64 |
| 4 980× | +-lowering-+.f64 |
| 4 980× | +-lowering-+.f32 |
| 4 920× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 196 | 2300 |
| 1 | 674 | 2170 |
| 2 | 2282 | 2077 |
| 3 | 5868 | 2053 |
| 0 | 8113 | 1903 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 7/360 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 7/360 (* -31/15120 (pow y 2)))) 1/6))) |
(* 2 (/ y (- (exp y) (/ 1 (exp y))))) |
(* 2 (/ y (- (exp y) (/ 1 (exp y))))) |
(* 2 (/ y (- (exp y) (/ 1 (exp y))))) |
(* 2 (/ y (- (exp y) (/ 1 (exp y))))) |
(* 2 (/ y (- (exp y) (/ 1 (exp y))))) |
(* 2 (/ y (- (exp y) (/ 1 (exp y))))) |
(* 2 (/ y (- (exp y) (/ 1 (exp y))))) |
(* 2 (/ y (- (exp y) (/ 1 (exp 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)))) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
x |
(+ x (* 1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x)))) |
(+ x (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* 1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(* 1/2 (/ (* x (- (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)) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))) |
(* x (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* 1/120 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))))))) |
(* x (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (+ 1 (* 1/6 (pow y 2))))))))))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(* 1/6 (* (pow y 2) (sin x))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* 1/6 (* (pow y 2) (sin x))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin 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) |
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(* 1/120 (* (pow y 4) (sin x))) |
(* (pow y 4) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2))))) |
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4))))) |
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4))))) |
(* 1/120 (* (pow y 4) (sin x))) |
(* (pow y 4) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2))))) |
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4))))) |
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4))))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
1/6 |
(+ 1/6 (* 1/120 (pow y 2))) |
(+ 1/6 (* 1/120 (pow y 2))) |
(+ 1/6 (* 1/120 (pow y 2))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
| Outputs |
|---|
(* 1/2 (/ (* x (- (exp y) (/ 1 (exp y)))) y)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(* x (+ (* -1/12 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)))) |
(*.f64 x (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64))) y)) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* 1/240 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (/.f64 (*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal -1/12 binary64))) y))) |
(* x (+ (* 1/2 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/12 (/ (- (exp y) (/ 1 (exp y))) y)) (* (pow x 2) (+ (* -1/10080 (/ (* (pow x 2) (- (exp y) (/ 1 (exp y)))) y)) (* 1/240 (/ (- (exp y) (/ 1 (exp y))) y)))))))) |
(*.f64 x (fma.f64 x (*.f64 x (*.f64 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) y) (fma.f64 #s(literal -1/10080 binary64) (*.f64 x x) #s(literal 1/240 binary64)))) (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64))) y))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x)) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x)) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x)) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x)) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x)) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x)) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x)) y) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) y)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x)) y) |
(sin x) |
(sin.f64 x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
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(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x) |
(* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(*.f64 x (*.f64 (fma.f64 x (*.f64 x #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)))) |
(* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(*.f64 x (*.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(fma.f64 x (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))) x) |
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(sin x) |
(sin.f64 x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(* 1/120 (* (pow y 4) (sin x))) |
(*.f64 (sin.f64 x) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))) |
(* (pow y 4) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2))))) |
(*.f64 (sin.f64 x) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))) |
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4))))) |
(*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4))))) |
(*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(* 1/120 (* (pow y 4) (sin x))) |
(*.f64 (sin.f64 x) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))) |
(* (pow y 4) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2))))) |
(*.f64 (sin.f64 x) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))) |
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4))))) |
(*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4))))) |
(*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* 1/120 (pow y 4)) |
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) |
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* 1/120 (pow y 4)) |
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) |
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* (pow y 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/120 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/120 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/120 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(* 1/120 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(* 1/120 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
Compiled 23 876 to 2 282 computations (90.4% saved)
16 alts after pruning (12 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 057 | 12 | 1 069 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 059 | 16 | 1 075 |
| Status | Accuracy | Program |
|---|---|---|
| 35.7% | (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) | |
| ▶ | 50.1% | (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x) |
| 39.5% | (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x) | |
| ▶ | 38.8% | (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
| 47.0% | (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) x) | |
| 52.9% | (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| 54.9% | (*.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) 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))) | |
| ✓ | 86.3% | (*.f64 (sin.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))) |
| ✓ | 79.3% | (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
| 56.1% | (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| 52.0% | (*.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))) | |
| ▶ | 56.1% | (*.f64 x (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
| ✓ | 59.4% | (*.f64 x (/.f64 (sinh.f64 y) y)) |
| ▶ | 51.1% | (*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| ✓ | 54.6% | (sin.f64 x) |
| ▶ | 28.1% | x |
Compiled 435 to 257 computations (40.9% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #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 x (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) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
| ✓ | cost-diff | 0 | (*.f64 x (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
| ✓ | cost-diff | 1024 | (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y) |
| 15 166× | accelerator-lowering-fma.f32 |
| 15 166× | accelerator-lowering-fma.f64 |
| 5 480× | *-lowering-*.f32 |
| 5 480× | *-lowering-*.f64 |
| 5 440× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 209 |
| 1 | 95 | 209 |
| 2 | 297 | 205 |
| 3 | 917 | 205 |
| 4 | 2065 | 205 |
| 5 | 4093 | 201 |
| 6 | 4240 | 201 |
| 7 | 5021 | 201 |
| 8 | 5570 | 201 |
| 9 | 5749 | 201 |
| 10 | 5828 | 201 |
| 0 | 8962 | 178 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (/ (+ (* (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6) (* y (* y y))) y) y)) |
x |
(/ (+ (* (+ (* (* 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 y) 1/5040) 1/120) |
1/5040 |
1/120 |
1/6 |
(* y (* y y)) |
x |
(+ (* x (* x (* x -1/6))) x) |
x |
(* x (* x -1/6)) |
(* x -1/6) |
-1/6 |
(+ (* (* y y) (* x (+ (* (* y y) 1/120) 1/6))) x) |
(* y y) |
y |
(* x (+ (* (* y y) 1/120) 1/6)) |
x |
(+ (* (* y y) 1/120) 1/6) |
1/120 |
1/6 |
(* x (* (+ (* x (* x -1/6)) 1) (+ (* 1/6 (* y y)) 1))) |
x |
(* (+ (* x (* x -1/6)) 1) (+ (* 1/6 (* y y)) 1)) |
(+ (* x (* x -1/6)) 1) |
(* x -1/6) |
-1/6 |
1 |
(+ (* 1/6 (* y y)) 1) |
1/6 |
(* y y) |
y |
| Outputs |
|---|
(* x (/ (+ (* (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6) (* y (* y y))) y) y)) |
(fma.f64 x (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x) |
x |
(/ (+ (* (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6) (* y (* y y))) y) y) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ (* (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6) (* y (* y y))) y) |
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(+ (* (* y 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) |
(*.f64 y y) |
y |
(+ (* (* y y) 1/5040) 1/120) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 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)) |
x |
(+ (* x (* x (* x -1/6))) x) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
x |
(* x (* x -1/6)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* x -1/6) |
(*.f64 x #s(literal -1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(+ (* (* y y) (* x (+ (* (* y y) 1/120) 1/6))) x) |
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(* y y) |
(*.f64 y y) |
y |
(* x (+ (* (* y y) 1/120) 1/6)) |
(*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
x |
(+ (* (* 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) |
(* x (* (+ (* x (* x -1/6)) 1) (+ (* 1/6 (* y y)) 1))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) x)) |
x |
(* (+ (* x (* x -1/6)) 1) (+ (* 1/6 (* y y)) 1)) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(+ (* x (* x -1/6)) 1) |
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(* x -1/6) |
(*.f64 x #s(literal -1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
1 |
#s(literal 1 binary64) |
(+ (* 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 |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 x #s(literal -1/6 binary64)) |
| ✓ | accuracy | 95.5% | (*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x) |
| ✓ | accuracy | 99.6% | (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 95.6% | (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
| ✓ | accuracy | 99.4% | (*.f64 x #s(literal -1/6 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 y (*.f64 y y)) |
| ✓ | accuracy | 99.6% | (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y) |
| ✓ | accuracy | 99.6% | (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
| ✓ | accuracy | 97.0% | (*.f64 x (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
| 91.0ms | 256× | 0 | valid |
Compiled 196 to 33 computations (83.2% saved)
ival-mult: 51.0ms (67.6% of total)ival-add: 11.0ms (14.6% of total)const: 11.0ms (14.6% of total)ival-div: 2.0ms (2.7% 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 (/ (+ (* (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6) (* y (* y y))) y) y))> |
#<alt (+ (* (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6) (* y (* y y))) y)> |
#<alt (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6)> |
#<alt (+ (* x (* x (* x -1/6))) x)> |
#<alt (* x (* x -1/6))> |
#<alt (* x -1/6)> |
#<alt (+ (* (* y y) (* x (+ (* (* y y) 1/120) 1/6))) x)> |
#<alt (* y y)> |
#<alt (* x (+ (* (* y y) 1/120) 1/6))> |
#<alt (+ (* (* y y) 1/120) 1/6)> |
#<alt (* x (* (+ (* x (* x -1/6)) 1) (+ (* 1/6 (* y y)) 1)))> |
#<alt (* (+ (* x (* x -1/6)) 1) (+ (* 1/6 (* y y)) 1))> |
#<alt (+ (* x (* x -1/6)) 1)> |
#<alt (+ (* (* y y) 1/5040) 1/120)> |
#<alt (* y (* y y))> |
#<alt (+ (* 1/6 (* y y)) 1)> |
| 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 (/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y)> |
#<alt (/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y)> |
#<alt (/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y)> |
#<alt (/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y)> |
#<alt (/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y)> |
#<alt (/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y)> |
#<alt (/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y)> |
#<alt (/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y)> |
#<alt (/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y)> |
#<alt (/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y)> |
#<alt (/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y)> |
#<alt (/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y)> |
#<alt x> |
#<alt (+ x (* 1/6 (* x (pow y 2))))> |
#<alt (+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x))))> |
#<alt (+ x (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* 1/5040 (* x (pow y 2))) (* 1/120 x))))))> |
#<alt (* 1/5040 (* x (pow y 6)))> |
#<alt (* (pow y 6) (+ (* 1/5040 x) (* 1/120 (/ x (pow y 2)))))> |
#<alt (* (pow y 6) (+ (* 1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (* 1/6 (/ x (pow y 4))))))> |
#<alt (* (pow y 6) (+ (* 1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (+ (* 1/6 (/ x (pow y 4))) (/ x (pow y 6))))))> |
#<alt (* 1/5040 (* x (pow y 6)))> |
#<alt (* (pow y 6) (+ (* 1/5040 x) (* 1/120 (/ x (pow y 2)))))> |
#<alt (* (pow y 6) (+ (* 1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (* 1/6 (/ x (pow y 4))))))> |
#<alt (* (pow y 6) (+ (* 1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (+ (* 1/6 (/ x (pow y 4))) (/ x (pow y 6))))))> |
#<alt y> |
#<alt (* y (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))> |
#<alt (* 1/5040 (pow y 7))> |
#<alt (* (pow y 7) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))> |
#<alt (* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))> |
#<alt (* 1/5040 (pow y 7))> |
#<alt (* (pow y 7) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* -1 (* (pow y 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))> |
#<alt (* -1 (* (pow y 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 4))) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))> |
#<alt 1/6> |
#<alt (+ 1/6 (* 1/120 (pow y 2)))> |
#<alt (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))> |
#<alt (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))> |
#<alt (* 1/5040 (pow y 4))> |
#<alt (* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))> |
#<alt (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))> |
#<alt (* 1/5040 (pow y 4))> |
#<alt (* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))> |
#<alt (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt x> |
#<alt (+ x (* 1/6 (* x (pow y 2))))> |
#<alt (+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x))))> |
#<alt (+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x))))> |
#<alt (* 1/120 (* x (pow y 4)))> |
#<alt (* (pow y 4) (+ (* 1/120 x) (* 1/6 (/ x (pow y 2)))))> |
#<alt (* (pow y 4) (+ (* 1/120 x) (+ (* 1/6 (/ x (pow y 2))) (/ x (pow y 4)))))> |
#<alt (* (pow y 4) (+ (* 1/120 x) (+ (* 1/6 (/ x (pow y 2))) (/ x (pow y 4)))))> |
#<alt (* 1/120 (* x (pow y 4)))> |
#<alt (* (pow y 4) (+ (* 1/120 x) (* 1/6 (/ x (pow y 2)))))> |
#<alt (* (pow y 4) (+ (* 1/120 x) (+ (* 1/6 (/ x (pow y 2))) (/ x (pow y 4)))))> |
#<alt (* (pow y 4) (+ (* 1/120 x) (+ (* 1/6 (/ x (pow y 2))) (/ x (pow y 4)))))> |
#<alt (* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* -1 (* x (- (* -1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) 1)))> |
#<alt (* -1 (* x (- (* -1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) 1)))> |
#<alt (* -1 (* x (- (* -1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) 1)))> |
#<alt (* -1 (* x (- (* -1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) 1)))> |
#<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 (* x (+ 1/6 (* 1/120 (pow y 2))))> |
#<alt (* x (+ 1/6 (* 1/120 (pow y 2))))> |
#<alt (* x (+ 1/6 (* 1/120 (pow y 2))))> |
#<alt (* x (+ 1/6 (* 1/120 (pow y 2))))> |
#<alt (* x (+ 1/6 (* 1/120 (pow y 2))))> |
#<alt (* x (+ 1/6 (* 1/120 (pow y 2))))> |
#<alt (* x (+ 1/6 (* 1/120 (pow y 2))))> |
#<alt (* x (+ 1/6 (* 1/120 (pow y 2))))> |
#<alt (* x (+ 1/6 (* 1/120 (pow y 2))))> |
#<alt (* x (+ 1/6 (* 1/120 (pow y 2))))> |
#<alt (* x (+ 1/6 (* 1/120 (pow y 2))))> |
#<alt (* x (+ 1/6 (* 1/120 (pow y 2))))> |
#<alt (* 1/6 x)> |
#<alt (+ (* 1/120 (* x (pow y 2))) (* 1/6 x))> |
#<alt (+ (* 1/120 (* x (pow y 2))) (* 1/6 x))> |
#<alt (+ (* 1/120 (* x (pow y 2))) (* 1/6 x))> |
#<alt (* 1/120 (* x (pow y 2)))> |
#<alt (* (pow y 2) (+ (* 1/120 x) (* 1/6 (/ x (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* 1/120 x) (* 1/6 (/ x (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* 1/120 x) (* 1/6 (/ x (pow y 2)))))> |
#<alt (* 1/120 (* x (pow y 2)))> |
#<alt (* (pow y 2) (+ (* 1/120 x) (* 1/6 (/ x (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* 1/120 x) (* 1/6 (/ x (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* 1/120 x) (* 1/6 (/ x (pow y 2)))))> |
#<alt 1/6> |
#<alt (+ 1/6 (* 1/120 (pow y 2)))> |
#<alt (+ 1/6 (* 1/120 (pow y 2)))> |
#<alt (+ 1/6 (* 1/120 (pow y 2)))> |
#<alt (* 1/120 (pow y 2))> |
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* 1/120 (pow y 2))> |
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* x (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2)))))> |
#<alt (* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2)))))> |
#<alt (* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2)))))> |
#<alt (* -1/6 (* (pow x 3) (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (* (pow x 3) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2)))))> |
#<alt (* -1/6 (* (pow x 3) (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (* 1/6 (+ 1 (* 1/6 (pow y 2)))))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (* 1/6 (+ 1 (* 1/6 (pow y 2)))))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (* 1/6 (+ 1 (* 1/6 (pow y 2)))))))> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (+ (* 1/6 (* x (* (pow y 2) (+ 1 (* -1/6 (pow x 2)))))) (* x (+ 1 (* -1/6 (pow x 2)))))> |
#<alt (+ (* 1/6 (* x (* (pow y 2) (+ 1 (* -1/6 (pow x 2)))))) (* x (+ 1 (* -1/6 (pow x 2)))))> |
#<alt (+ (* 1/6 (* x (* (pow y 2) (+ 1 (* -1/6 (pow x 2)))))) (* x (+ 1 (* -1/6 (pow x 2)))))> |
#<alt (* 1/6 (* x (* (pow y 2) (+ 1 (* -1/6 (pow x 2))))))> |
#<alt (* (pow y 2) (+ (* 1/6 (* x (+ 1 (* -1/6 (pow x 2))))) (/ (* x (+ 1 (* -1/6 (pow x 2)))) (pow y 2))))> |
#<alt (* (pow y 2) (+ (* 1/6 (* x (+ 1 (* -1/6 (pow x 2))))) (/ (* x (+ 1 (* -1/6 (pow x 2)))) (pow y 2))))> |
#<alt (* (pow y 2) (+ (* 1/6 (* x (+ 1 (* -1/6 (pow x 2))))) (/ (* x (+ 1 (* -1/6 (pow x 2)))) (pow y 2))))> |
#<alt (* 1/6 (* x (* (pow y 2) (+ 1 (* -1/6 (pow x 2))))))> |
#<alt (* (pow y 2) (+ (* 1/6 (* x (+ 1 (* -1/6 (pow x 2))))) (/ (* x (+ 1 (* -1/6 (pow x 2)))) (pow y 2))))> |
#<alt (* (pow y 2) (+ (* 1/6 (* x (+ 1 (* -1/6 (pow x 2))))) (/ (* x (+ 1 (* -1/6 (pow x 2)))) (pow y 2))))> |
#<alt (* (pow y 2) (+ (* 1/6 (* x (+ 1 (* -1/6 (pow x 2))))) (/ (* x (+ 1 (* -1/6 (pow x 2)))) (pow y 2))))> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))> |
#<alt (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))> |
#<alt (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))> |
#<alt (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2)))))> |
#<alt (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2)))))> |
#<alt (+ 1 (* -1/6 (pow x 2)))> |
#<alt (+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1 (* -1/6 (pow x 2)))))))> |
#<alt (+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1 (* -1/6 (pow x 2)))))))> |
#<alt (+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1 (* -1/6 (pow x 2)))))))> |
#<alt (* 1/6 (* (pow y 2) (+ 1 (* -1/6 (pow x 2)))))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/6 (pow x 2)))) (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/6 (pow x 2)))) (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/6 (pow x 2)))) (/ 1 (pow y 2)))))> |
#<alt (* 1/6 (* (pow y 2) (+ 1 (* -1/6 (pow x 2)))))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/6 (pow x 2)))) (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/6 (pow x 2)))) (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/6 (pow x 2)))) (/ 1 (pow y 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow x 2)))> |
#<alt (+ 1 (* -1/6 (pow x 2)))> |
#<alt (+ 1 (* -1/6 (pow x 2)))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<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 (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> |
#<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))))> |
66 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | 0 | (* x (/ (+ (* (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6) (* y (* y y))) y) y)) |
| 1.0ms | x | @ | inf | (* x (* (+ (* x (* x -1/6)) 1) (+ (* 1/6 (* y y)) 1))) |
| 1.0ms | y | @ | 0 | (* x (* (+ (* x (* x -1/6)) 1) (+ (* 1/6 (* y y)) 1))) |
| 1.0ms | y | @ | inf | (/ (+ (* (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6) (* y (* y y))) y) y) |
| 1.0ms | y | @ | inf | (* x (/ (+ (* (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6) (* y (* y y))) y) y)) |
| 1× | batch-egg-rewrite |
| 5 728× | accelerator-lowering-fma.f32 |
| 5 728× | accelerator-lowering-fma.f64 |
| 3 986× | *-lowering-*.f32 |
| 3 986× | *-lowering-*.f64 |
| 3 964× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 183 |
| 1 | 195 | 179 |
| 2 | 1650 | 179 |
| 0 | 8197 | 156 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (* (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6) (* y (* y y))) y) y) |
(* x (/ (+ (* (+ (* (* 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) |
(+ (* x (* x (* x -1/6))) x) |
(* x (* x -1/6)) |
(* x -1/6) |
(+ (* (* y y) (* x (+ (* (* y y) 1/120) 1/6))) x) |
(* y y) |
(* x (+ (* (* y y) 1/120) 1/6)) |
(+ (* (* y y) 1/120) 1/6) |
(* x (* (+ (* x (* x -1/6)) 1) (+ (* 1/6 (* y y)) 1))) |
(* (+ (* x (* x -1/6)) 1) (+ (* 1/6 (* y y)) 1)) |
(+ (* x (* x -1/6)) 1) |
(+ (* (* y y) 1/5040) 1/120) |
(* y (* y y)) |
(+ (* 1/6 (* y y)) 1) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 y (fma.f64 (*.f64 y y) (*.f64 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))) y))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (*.f64 y y) (*.f64 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))) y) (neg.f64 y))) |
(-.f64 (/.f64 (/.f64 (*.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 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))) (fma.f64 (*.f64 y y) (*.f64 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))) (neg.f64 y))) y) (/.f64 (/.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 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))) (neg.f64 y))) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (fma.f64 (*.f64 y y) (*.f64 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))) y) (neg.f64 y))) |
(-.f64 (/.f64 (*.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 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 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))) (neg.f64 y)))) (/.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 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))) (neg.f64 y))))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 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))) y) (neg.f64 y))) |
(/.f64 (fma.f64 (*.f64 y y) (*.f64 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))) y) y) |
(/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (*.f64 y y) (*.f64 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))) y))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (fma.f64 (*.f64 y y) (*.f64 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))) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 y (-.f64 y (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))) (*.f64 (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 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))))) (fma.f64 y (*.f64 y y) (*.f64 (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) (*.f64 (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 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 (*.f64 y y) (*.f64 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))) (neg.f64 y))) (*.f64 (fma.f64 (*.f64 y y) (*.f64 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))) y) (fma.f64 (*.f64 y y) (*.f64 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))) (neg.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y (-.f64 y (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))) (*.f64 (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 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 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))))))) y) (fma.f64 y (*.f64 y y) (*.f64 (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) (*.f64 (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 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 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))) (neg.f64 y)) y) (*.f64 (fma.f64 (*.f64 y y) (*.f64 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))) y) (fma.f64 (*.f64 y y) (*.f64 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))) (neg.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))) (*.f64 (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 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))))) (/.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) (*.f64 (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 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 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)))))))) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) (*.f64 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))) (neg.f64 y)) (/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 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))) y) (fma.f64 (*.f64 y y) (*.f64 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))) (neg.f64 y))) y))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) (*.f64 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))) y)) (neg.f64 y)) |
(/.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) (*.f64 (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 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))))) (*.f64 (fma.f64 y (-.f64 y (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))) (*.f64 (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 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 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))))))) y)) |
(/.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) (*.f64 (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 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))))))) (*.f64 y (fma.f64 y (-.f64 y (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))) (*.f64 (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 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))))))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 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))) y))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 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))) y) (fma.f64 (*.f64 y y) (*.f64 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))) (neg.f64 y))) (*.f64 (fma.f64 (*.f64 y y) (*.f64 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))) (neg.f64 y)) y)) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 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))) y) (fma.f64 (*.f64 y y) (*.f64 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))) (neg.f64 y))) (*.f64 y (fma.f64 (*.f64 y y) (*.f64 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))) (neg.f64 y)))) |
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(*.f64 (*.f64 y y) y) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) |
(+.f64 (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(+.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y (*.f64 y #s(literal 1/6 binary64))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))))) |
(*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))))) |
| 1× | egg-herbie |
| 12 428× | accelerator-lowering-fma.f32 |
| 12 428× | accelerator-lowering-fma.f64 |
| 4 118× | *-lowering-*.f32 |
| 4 118× | *-lowering-*.f64 |
| 2 968× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 173 | 3072 |
| 1 | 617 | 2925 |
| 2 | 2023 | 2702 |
| 3 | 5466 | 2672 |
| 4 | 7718 | 2672 |
| 0 | 8170 | 2426 |
| 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)))))) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
x |
(+ x (* 1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x)))) |
(+ x (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* 1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(* 1/5040 (* x (pow y 6))) |
(* (pow y 6) (+ (* 1/5040 x) (* 1/120 (/ x (pow y 2))))) |
(* (pow y 6) (+ (* 1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (* 1/6 (/ x (pow y 4)))))) |
(* (pow y 6) (+ (* 1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (+ (* 1/6 (/ x (pow y 4))) (/ x (pow y 6)))))) |
(* 1/5040 (* x (pow y 6))) |
(* (pow y 6) (+ (* 1/5040 x) (* 1/120 (/ x (pow y 2))))) |
(* (pow y 6) (+ (* 1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (* 1/6 (/ x (pow y 4)))))) |
(* (pow y 6) (+ (* 1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (+ (* 1/6 (/ x (pow y 4))) (/ x (pow y 6)))))) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(* 1/5040 (pow y 7)) |
(* (pow y 7) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))) |
(* 1/5040 (pow y 7)) |
(* (pow y 7) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) |
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 4))) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))))) |
1/6 |
(+ 1/6 (* 1/120 (pow y 2))) |
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) |
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) |
(* 1/5040 (pow y 4)) |
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* 1/5040 (pow y 4)) |
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* -1/6 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
x |
(+ x (* 1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x)))) |
(+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x)))) |
(* 1/120 (* x (pow y 4))) |
(* (pow y 4) (+ (* 1/120 x) (* 1/6 (/ x (pow y 2))))) |
(* (pow y 4) (+ (* 1/120 x) (+ (* 1/6 (/ x (pow y 2))) (/ x (pow y 4))))) |
(* (pow y 4) (+ (* 1/120 x) (+ (* 1/6 (/ x (pow y 2))) (/ x (pow y 4))))) |
(* 1/120 (* x (pow y 4))) |
(* (pow y 4) (+ (* 1/120 x) (* 1/6 (/ x (pow y 2))))) |
(* (pow y 4) (+ (* 1/120 x) (+ (* 1/6 (/ x (pow y 2))) (/ x (pow y 4))))) |
(* (pow y 4) (+ (* 1/120 x) (+ (* 1/6 (/ x (pow y 2))) (/ x (pow y 4))))) |
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) 1))) |
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) 1))) |
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) 1))) |
(* -1 (* x (- (* -1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) 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) |
(* x (+ 1/6 (* 1/120 (pow y 2)))) |
(* x (+ 1/6 (* 1/120 (pow y 2)))) |
(* x (+ 1/6 (* 1/120 (pow y 2)))) |
(* x (+ 1/6 (* 1/120 (pow y 2)))) |
(* x (+ 1/6 (* 1/120 (pow y 2)))) |
(* x (+ 1/6 (* 1/120 (pow y 2)))) |
(* x (+ 1/6 (* 1/120 (pow y 2)))) |
(* x (+ 1/6 (* 1/120 (pow y 2)))) |
(* x (+ 1/6 (* 1/120 (pow y 2)))) |
(* x (+ 1/6 (* 1/120 (pow y 2)))) |
(* x (+ 1/6 (* 1/120 (pow y 2)))) |
(* x (+ 1/6 (* 1/120 (pow y 2)))) |
(* 1/6 x) |
(+ (* 1/120 (* x (pow y 2))) (* 1/6 x)) |
(+ (* 1/120 (* x (pow y 2))) (* 1/6 x)) |
(+ (* 1/120 (* x (pow y 2))) (* 1/6 x)) |
(* 1/120 (* x (pow y 2))) |
(* (pow y 2) (+ (* 1/120 x) (* 1/6 (/ x (pow y 2))))) |
(* (pow y 2) (+ (* 1/120 x) (* 1/6 (/ x (pow y 2))))) |
(* (pow y 2) (+ (* 1/120 x) (* 1/6 (/ x (pow y 2))))) |
(* 1/120 (* x (pow y 2))) |
(* (pow y 2) (+ (* 1/120 x) (* 1/6 (/ x (pow y 2))))) |
(* (pow y 2) (+ (* 1/120 x) (* 1/6 (/ x (pow y 2))))) |
(* (pow y 2) (+ (* 1/120 x) (* 1/6 (/ x (pow y 2))))) |
1/6 |
(+ 1/6 (* 1/120 (pow y 2))) |
(+ 1/6 (* 1/120 (pow y 2))) |
(+ 1/6 (* 1/120 (pow y 2))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))) |
(* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))) |
(* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))) |
(* -1/6 (* (pow x 3) (+ 1 (* 1/6 (pow y 2))))) |
(* (pow x 3) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2))))) |
(* (pow x 3) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2))))) |
(* (pow x 3) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2))))) |
(* -1/6 (* (pow x 3) (+ 1 (* 1/6 (pow y 2))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (* 1/6 (+ 1 (* 1/6 (pow y 2))))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (* 1/6 (+ 1 (* 1/6 (pow y 2))))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (* 1/6 (+ 1 (* 1/6 (pow y 2))))))) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(+ (* 1/6 (* x (* (pow y 2) (+ 1 (* -1/6 (pow x 2)))))) (* x (+ 1 (* -1/6 (pow x 2))))) |
(+ (* 1/6 (* x (* (pow y 2) (+ 1 (* -1/6 (pow x 2)))))) (* x (+ 1 (* -1/6 (pow x 2))))) |
(+ (* 1/6 (* x (* (pow y 2) (+ 1 (* -1/6 (pow x 2)))))) (* x (+ 1 (* -1/6 (pow x 2))))) |
(* 1/6 (* x (* (pow y 2) (+ 1 (* -1/6 (pow x 2)))))) |
(* (pow y 2) (+ (* 1/6 (* x (+ 1 (* -1/6 (pow x 2))))) (/ (* x (+ 1 (* -1/6 (pow x 2)))) (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 (* x (+ 1 (* -1/6 (pow x 2))))) (/ (* x (+ 1 (* -1/6 (pow x 2)))) (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 (* x (+ 1 (* -1/6 (pow x 2))))) (/ (* x (+ 1 (* -1/6 (pow x 2)))) (pow y 2)))) |
(* 1/6 (* x (* (pow y 2) (+ 1 (* -1/6 (pow x 2)))))) |
(* (pow y 2) (+ (* 1/6 (* x (+ 1 (* -1/6 (pow x 2))))) (/ (* x (+ 1 (* -1/6 (pow x 2)))) (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 (* x (+ 1 (* -1/6 (pow x 2))))) (/ (* x (+ 1 (* -1/6 (pow x 2)))) (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 (* x (+ 1 (* -1/6 (pow x 2))))) (/ (* x (+ 1 (* -1/6 (pow x 2)))) (pow y 2)))) |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2)))) |
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2)))) |
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2)))) |
(* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) |
(* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2))))) |
(* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) |
(* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2))))) |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1 (* -1/6 (pow x 2))))))) |
(+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1 (* -1/6 (pow x 2))))))) |
(+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1 (* -1/6 (pow x 2))))))) |
(* 1/6 (* (pow y 2) (+ 1 (* -1/6 (pow x 2))))) |
(* (pow y 2) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/6 (pow x 2)))) (/ 1 (pow y 2))))) |
(* (pow y 2) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/6 (pow x 2)))) (/ 1 (pow y 2))))) |
(* (pow y 2) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/6 (pow x 2)))) (/ 1 (pow y 2))))) |
(* 1/6 (* (pow y 2) (+ 1 (* -1/6 (pow x 2))))) |
(* (pow y 2) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/6 (pow x 2)))) (/ 1 (pow y 2))))) |
(* (pow y 2) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/6 (pow x 2)))) (/ 1 (pow y 2))))) |
(* (pow y 2) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/6 (pow x 2)))) (/ 1 (pow y 2))))) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* -1/6 (pow x 2))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
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))))) |
(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 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* 1/6 (pow y 2))) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* 1/5040 (pow y 6)) |
(*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 6 binary64))) |
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))) |
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) #s(literal 1 binary64)) |
(* 1/5040 (pow y 6)) |
(*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 6 binary64))) |
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))) |
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) #s(literal 1 binary64)) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
(*.f64 x (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
(*.f64 x (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
(*.f64 x (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
(*.f64 x (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
(*.f64 x (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
(*.f64 x (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
(*.f64 x (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
(*.f64 x (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
(*.f64 x (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
(*.f64 x (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
(*.f64 x (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
(*.f64 x (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
x |
(+ x (* 1/6 (* x (pow y 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x)))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) x) x) |
(+ x (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* 1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 #s(literal 1/6 binary64) x)) x) |
(* 1/5040 (* x (pow y 6))) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) x)) |
(* (pow y 6) (+ (* 1/5040 x) (* 1/120 (/ x (pow y 2))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 x (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))) |
(* (pow y 6) (+ (* 1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (* 1/6 (/ x (pow y 4)))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 x (+.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 x) (+ (* 1/120 (/ x (pow y 2))) (+ (* 1/6 (/ x (pow y 4))) (/ x (pow y 6)))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 x (+.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))))) (/.f64 x (pow.f64 y #s(literal 6 binary64))))) |
(* 1/5040 (* x (pow y 6))) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) x)) |
(* (pow y 6) (+ (* 1/5040 x) (* 1/120 (/ x (pow y 2))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 x (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))) |
(* (pow y 6) (+ (* 1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (* 1/6 (/ x (pow y 4)))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 x (+.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 x) (+ (* 1/120 (/ x (pow y 2))) (+ (* 1/6 (/ x (pow y 4))) (/ x (pow y 6)))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 x (+.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))))) (/.f64 x (pow.f64 y #s(literal 6 binary64))))) |
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 y (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(* 1/5040 (pow y 7)) |
(*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 7 binary64))) |
(* (pow y 7) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (pow.f64 y #s(literal 7 binary64))) |
(* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(*.f64 (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (pow.f64 y #s(literal 7 binary64))) |
(* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))))) (pow.f64 y #s(literal 7 binary64))) |
(* 1/5040 (pow y 7)) |
(*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 7 binary64))) |
(* (pow y 7) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (pow.f64 y #s(literal 7 binary64))) |
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) |
(*.f64 (pow.f64 y #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (*.f64 y y)))) |
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 4))) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))))) |
(*.f64 (pow.f64 y #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y y))))) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/120 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* 1/5040 (pow y 4)) |
(*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) |
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y y))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
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(* 1/6 (* x (* (pow y 2) (+ 1 (* -1/6 (pow x 2)))))) |
(*.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))) |
(* (pow y 2) (+ (* 1/6 (* x (+ 1 (* -1/6 (pow x 2))))) (/ (* x (+ 1 (* -1/6 (pow x 2)))) (pow y 2)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
(* (pow y 2) (+ (* 1/6 (* x (+ 1 (* -1/6 (pow x 2))))) (/ (* x (+ 1 (* -1/6 (pow x 2)))) (pow y 2)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
(* (pow y 2) (+ (* 1/6 (* x (+ 1 (* -1/6 (pow x 2))))) (/ (* x (+ 1 (* -1/6 (pow x 2)))) (pow y 2)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
(* 1/6 (* x (* (pow y 2) (+ 1 (* -1/6 (pow x 2)))))) |
(*.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))) |
(* (pow y 2) (+ (* 1/6 (* x (+ 1 (* -1/6 (pow x 2))))) (/ (* x (+ 1 (* -1/6 (pow x 2)))) (pow y 2)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
(* (pow y 2) (+ (* 1/6 (* x (+ 1 (* -1/6 (pow x 2))))) (/ (* x (+ 1 (* -1/6 (pow x 2)))) (pow y 2)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
(* (pow y 2) (+ (* 1/6 (* x (+ 1 (* -1/6 (pow x 2))))) (/ (* x (+ 1 (* -1/6 (pow x 2)))) (pow y 2)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2)))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal -1/36 binary64) #s(literal -1/6 binary64))) |
(* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (+.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (+.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (+.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal -1/36 binary64) #s(literal -1/6 binary64))) |
(* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (+.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (+.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/6 (/ (pow y 2) (pow x 2))) (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (+.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1/6 (pow x 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1 (* -1/6 (pow x 2))))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1 (* -1/6 (pow x 2))))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1 (* -1/6 (pow x 2))))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(* 1/6 (* (pow y 2) (+ 1 (* -1/6 (pow x 2))))) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(* (pow y 2) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/6 (pow x 2)))) (/ 1 (pow y 2))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(* (pow y 2) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/6 (pow x 2)))) (/ 1 (pow y 2))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(* (pow y 2) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/6 (pow x 2)))) (/ 1 (pow y 2))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(* 1/6 (* (pow y 2) (+ 1 (* -1/6 (pow x 2))))) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(* (pow y 2) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/6 (pow x 2)))) (/ 1 (pow y 2))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(* (pow y 2) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/6 (pow x 2)))) (/ 1 (pow y 2))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(* (pow y 2) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/6 (pow x 2)))) (/ 1 (pow y 2))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow x 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* -1/6 (pow x 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* -1/6 (pow x 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* 1/5040 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* 1/5040 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(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 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
Compiled 39 232 to 2 843 computations (92.8% saved)
43 alts after pruning (38 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 080 | 31 | 1 111 |
| Fresh | 0 | 7 | 7 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 084 | 43 | 1 127 |
| Status | Accuracy | Program |
|---|---|---|
| 35.7% | (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) | |
| 34.2% | (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))) x) | |
| 50.1% | (fma.f64 (*.f64 (*.f64 y x) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) y x) | |
| 53.1% | (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 #s(literal 1/6 binary64) x)) x) | |
| ▶ | 50.1% | (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 #s(literal 1/6 binary64) x)) x) |
| 49.7% | (fma.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 #s(literal 1/120 binary64) x))) x) | |
| 49.7% | (fma.f64 (*.f64 y y) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) x) | |
| 47.0% | (fma.f64 (*.f64 y y) (*.f64 x #s(literal 1/6 binary64)) x) | |
| 38.8% | (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) | |
| 38.8% | (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x) | |
| 39.5% | (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x) | |
| 47.0% | (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) x) | |
| 47.0% | (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) | |
| 43.6% | (/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 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))) y) x) y) | |
| 32.0% | (/.f64 (*.f64 x (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))) | |
| 43.6% | (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (fma.f64 (*.f64 y y) (*.f64 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))) y) x))) | |
| 50.1% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) x) x))) | |
| 52.9% | (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| 51.1% | (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) | |
| 54.9% | (*.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) 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))) | |
| 43.6% | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 (*.f64 y y) (*.f64 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))) y) x)) | |
| 51.1% | (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) x) | |
| 25.8% | (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 x (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))) | |
| 25.3% | (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) x)) | |
| ▶ | 26.1% | (*.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))) |
| ✓ | 86.3% | (*.f64 (sin.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))) |
| ✓ | 79.3% | (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
| 56.1% | (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| 52.0% | (*.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))) | |
| 56.1% | (*.f64 x (/.f64 (fma.f64 (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) | |
| 39.3% | (*.f64 x (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) | |
| ▶ | 55.7% | (*.f64 x (/.f64 (fma.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) (*.f64 y (*.f64 y y)) y) y)) |
| 51.1% | (*.f64 x (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))) | |
| 44.9% | (*.f64 x (/.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) | |
| ✓ | 59.4% | (*.f64 x (/.f64 (sinh.f64 y) y)) |
| ▶ | 56.1% | (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (*.f64 y y) (*.f64 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))) y)))) |
| 56.0% | (*.f64 x (*.f64 (fma.f64 (*.f64 y y) (*.f64 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))) y) (/.f64 #s(literal 1 binary64) y))) | |
| 26.2% | (*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) | |
| 26.2% | (*.f64 x (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))) | |
| 15.3% | (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal -1/36 binary64) #s(literal -1/6 binary64)))) | |
| ▶ | 13.9% | (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | 54.6% | (sin.f64 x) |
| ✓ | 28.1% | x |
Compiled 1 486 to 869 computations (41.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) (*.f64 y (*.f64 y y)) y) |
| ✓ | cost-diff | 0 | (*.f64 x (/.f64 (fma.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) (*.f64 y (*.f64 y y)) y) y)) |
| ✓ | cost-diff | 1024 | (/.f64 (fma.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) (*.f64 y (*.f64 y y)) y) y) |
| ✓ | cost-diff | 0 | (*.f64 x y) |
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 #s(literal 1/6 binary64) x)) x) |
| ✓ | cost-diff | 320 | (fma.f64 (*.f64 x y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 #s(literal 1/6 binary64) x)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 y y) (*.f64 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))) y) |
| ✓ | cost-diff | 0 | (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (*.f64 y y) (*.f64 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))) y)))) |
| ✓ | cost-diff | 320 | (/.f64 y (fma.f64 (*.f64 y y) (*.f64 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))) y)) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (*.f64 y y) (*.f64 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))) y))) |
| 12 286× | accelerator-lowering-fma.f32 |
| 12 286× | accelerator-lowering-fma.f64 |
| 3 514× | *-lowering-*.f32 |
| 3 514× | *-lowering-*.f64 |
| 1 992× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 311 |
| 1 | 132 | 305 |
| 2 | 388 | 295 |
| 3 | 1056 | 281 |
| 4 | 1695 | 277 |
| 5 | 4238 | 277 |
| 6 | 6899 | 277 |
| 7 | 7609 | 277 |
| 8 | 7740 | 277 |
| 9 | 7925 | 277 |
| 0 | 8054 | 250 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (/ 1 (/ y (+ (* (* y y) (* y (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6))) y)))) |
x |
(/ 1 (/ y (+ (* (* y y) (* y (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6))) y))) |
1 |
(/ y (+ (* (* y y) (* y (+ (* 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))) 1/6) |
(* y (+ (* y (* y 1/5040)) 1/120)) |
(+ (* y (* y 1/5040)) 1/120) |
(* y 1/5040) |
1/5040 |
1/120 |
1/6 |
(* -1/6 (* x (* x x))) |
-1/6 |
(* x (* x x)) |
x |
(* x x) |
(* (* y y) (* x (+ (* (* x x) -1/36) 1/6))) |
(* y y) |
y |
(* x (+ (* (* x x) -1/36) 1/6)) |
x |
(+ (* (* x x) -1/36) 1/6) |
(* x x) |
-1/36 |
1/6 |
(+ (* (* y y) (+ (* (* x y) (* y 1/120)) (* 1/6 x))) x) |
(* y y) |
y |
(+ (* (* x y) (* y 1/120)) (* 1/6 x)) |
(* x y) |
x |
(* y 1/120) |
1/120 |
(* 1/6 x) |
1/6 |
(* x (/ (+ (* (* y (* y (* (* y y) 1/5040))) (* y (* y y))) y) y)) |
x |
(/ (+ (* (* y (* y (* (* y y) 1/5040))) (* y (* y y))) y) y) |
(+ (* (* y (* y (* (* y y) 1/5040))) (* y (* y y))) y) |
(* y (* y (* (* y y) 1/5040))) |
y |
(* y (* (* y y) 1/5040)) |
(* (* y y) 1/5040) |
(* y y) |
1/5040 |
(* y (* y y)) |
| Outputs |
|---|
(* x (/ 1 (/ y (+ (* (* y y) (* y (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6))) y)))) |
(fma.f64 x (*.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)))) x) |
x |
(/ 1 (/ y (+ (* (* y y) (* y (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6))) y))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(/ y (+ (* (* y y) (* y (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6))) y)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
y |
(+ (* (* y y) (* y (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6))) y) |
(fma.f64 y (*.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)))) y) |
(* y y) |
(*.f64 y y) |
(* y (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6)) |
(*.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 (* 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) |
(* -1/6 (* x (* x x))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
-1/6 |
#s(literal -1/6 binary64) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
x |
(* x x) |
(*.f64 x x) |
(* (* y y) (* x (+ (* (* x x) -1/36) 1/6))) |
(*.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))) |
(* y y) |
(*.f64 y y) |
y |
(* x (+ (* (* x x) -1/36) 1/6)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
x |
(+ (* (* x x) -1/36) 1/6) |
(fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) |
(* x x) |
(*.f64 x x) |
-1/36 |
#s(literal -1/36 binary64) |
1/6 |
#s(literal 1/6 binary64) |
(+ (* (* y y) (+ (* (* x y) (* y 1/120)) (* 1/6 x))) x) |
(fma.f64 x (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) x) |
(* y y) |
(*.f64 y y) |
y |
(+ (* (* x y) (* y 1/120)) (* 1/6 x)) |
(*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(* x y) |
(*.f64 x y) |
x |
(* y 1/120) |
(*.f64 y #s(literal 1/120 binary64)) |
1/120 |
#s(literal 1/120 binary64) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(* x (/ (+ (* (* y (* y (* (* y y) 1/5040))) (* y (* y y))) y) y)) |
(*.f64 x (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) #s(literal 1 binary64))) |
x |
(/ (+ (* (* y (* y (* (* y y) 1/5040))) (* y (* y y))) y) y) |
(fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) #s(literal 1 binary64)) |
(+ (* (* y (* y (* (* y y) 1/5040))) (* y (* y y))) y) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) y) |
(* y (* y (* (* y y) 1/5040))) |
(*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) |
y |
(* y (* (* y y) 1/5040)) |
(*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) |
(* (* y y) 1/5040) |
(*.f64 y (*.f64 y #s(literal 1/5040 binary64))) |
(* y y) |
(*.f64 y y) |
1/5040 |
#s(literal 1/5040 binary64) |
(* y (* y y)) |
(*.f64 y (*.f64 y y)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) |
| ✓ | accuracy | 99.6% | (/.f64 (fma.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) (*.f64 y (*.f64 y y)) y) y) |
| ✓ | accuracy | 99.4% | (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) |
| ✓ | accuracy | 97.1% | (*.f64 x (/.f64 (fma.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) (*.f64 y (*.f64 y y)) y) y)) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 #s(literal 1/6 binary64) x)) x) |
| ✓ | accuracy | 99.9% | (*.f64 y #s(literal 1/120 binary64)) |
| ✓ | accuracy | 99.8% | (fma.f64 (*.f64 x y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 #s(literal 1/6 binary64) x)) |
| ✓ | accuracy | 99.4% | (*.f64 #s(literal 1/6 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.8% | (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.6% | (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
| ✓ | accuracy | 83.9% | (*.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.8% | (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
| ✓ | accuracy | 99.6% | (*.f64 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))) |
| ✓ | accuracy | 99.0% | (/.f64 y (fma.f64 (*.f64 y y) (*.f64 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))) y)) |
| ✓ | accuracy | 97.0% | (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (*.f64 y y) (*.f64 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))) y)))) |
| 93.0ms | 256× | 0 | valid |
Compiled 316 to 45 computations (85.8% saved)
ival-mult: 41.0ms (59.7% of total)const: 15.0ms (21.8% of total)ival-add: 7.0ms (10.2% of total)ival-div: 5.0ms (7.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 (/ y (+ (* (* y y) (* y (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6))) y)))> |
#<alt (/ y (+ (* (* y y) (* y (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6))) y))> |
#<alt (* x (/ 1 (/ y (+ (* (* y y) (* y (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6))) y))))> |
#<alt (+ (* (* y y) (* y (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6))) y)> |
#<alt (* -1/6 (* x (* x x)))> |
#<alt (* x (* x x))> |
#<alt (* x x)> |
#<alt (* (* y y) (* x (+ (* (* x x) -1/36) 1/6)))> |
#<alt (* y y)> |
#<alt (* x (+ (* (* x x) -1/36) 1/6))> |
#<alt (+ (* (* x x) -1/36) 1/6)> |
#<alt (+ (* (* x y) (* y 1/120)) (* 1/6 x))> |
#<alt (+ (* (* y y) (+ (* (* x y) (* y 1/120)) (* 1/6 x))) x)> |
#<alt (* x y)> |
#<alt (/ (+ (* (* y (* y (* (* y y) 1/5040))) (* y (* y y))) y) y)> |
#<alt (* x (/ (+ (* (* y (* y (* (* y y) 1/5040))) (* y (* y y))) y) y))> |
#<alt (+ (* (* y (* y (* (* y y) 1/5040))) (* y (* y y))) y)> |
#<alt (* y (* y (* (* y y) 1/5040)))> |
#<alt (* y (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6))> |
#<alt (* y (+ (* y (* y 1/5040)) 1/120))> |
#<alt (* 1/6 x)> |
#<alt (* y 1/120)> |
#<alt (* (* y y) 1/5040)> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))> |
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))> |
#<alt (* 1/5040 (pow y 6))> |
#<alt (* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))> |
#<alt (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))> |
#<alt (* 1/5040 (pow y 6))> |
#<alt (* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))> |
#<alt (* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 7/360 (pow y 2)) 1/6)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 7/360 (* -31/15120 (pow y 2)))) 1/6)))> |
#<alt (/ 5040 (pow y 6))> |
#<alt (/ (- 5040 (* 211680 (/ 1 (pow y 2)))) (pow y 6))> |
#<alt (/ (- (+ 5040 (/ 4656960 (pow y 4))) (* 211680 (/ 1 (pow y 2)))) (pow y 6))> |
#<alt (/ (- (+ 5040 (/ 4656960 (pow y 4))) (+ (* 211680 (/ 1 (pow y 2))) (* 43182720 (/ 1 (pow y 6))))) (pow y 6))> |
#<alt (/ 5040 (pow y 6))> |
#<alt (/ (- 5040 (* 211680 (/ 1 (pow y 2)))) (pow y 6))> |
#<alt (/ (- (+ 5040 (/ 4656960 (pow y 4))) (* 211680 (/ 1 (pow y 2)))) (pow y 6))> |
#<alt (/ (- (+ 5040 (/ 4656960 (pow y 4))) (+ (* 211680 (/ 1 (pow y 2))) (* 43182720 (/ 1 (pow y 6))))) (pow y 6))> |
#<alt (/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y)> |
#<alt (/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y)> |
#<alt (/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y)> |
#<alt (/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y)> |
#<alt (/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y)> |
#<alt (/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y)> |
#<alt (/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y)> |
#<alt (/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y)> |
#<alt (/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y)> |
#<alt (/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y)> |
#<alt (/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y)> |
#<alt (/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y)> |
#<alt x> |
#<alt (+ x (* 1/6 (* x (pow y 2))))> |
#<alt (+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x))))> |
#<alt (+ x (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* 1/5040 (* x (pow y 2))) (* 1/120 x))))))> |
#<alt (* 1/5040 (* x (pow y 6)))> |
#<alt (* (pow y 6) (+ (* 1/5040 x) (* 1/120 (/ x (pow y 2)))))> |
#<alt (* (pow y 6) (+ (* 1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (* 1/6 (/ x (pow y 4))))))> |
#<alt (* (pow y 6) (+ (* 1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (+ (* 1/6 (/ x (pow y 4))) (/ x (pow y 6))))))> |
#<alt (* 1/5040 (* x (pow y 6)))> |
#<alt (* (pow y 6) (+ (* 1/5040 x) (* 1/120 (/ x (pow y 2)))))> |
#<alt (* (pow y 6) (+ (* 1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (* 1/6 (/ x (pow y 4))))))> |
#<alt (* (pow y 6) (+ (* 1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (+ (* 1/6 (/ x (pow y 4))) (/ x (pow y 6))))))> |
#<alt y> |
#<alt (* y (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))> |
#<alt (* 1/5040 (pow y 7))> |
#<alt (* (pow y 7) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))> |
#<alt (* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))> |
#<alt (* 1/5040 (pow y 7))> |
#<alt (* (pow y 7) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* -1 (* (pow y 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))> |
#<alt (* -1 (* (pow y 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 4))) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<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 (* x (* (pow y 2) (+ 1/6 (* -1/36 (pow x 2)))))> |
#<alt (* x (* (pow y 2) (+ 1/6 (* -1/36 (pow x 2)))))> |
#<alt (* x (* (pow y 2) (+ 1/6 (* -1/36 (pow x 2)))))> |
#<alt (* x (* (pow y 2) (+ 1/6 (* -1/36 (pow x 2)))))> |
#<alt (* x (* (pow y 2) (+ 1/6 (* -1/36 (pow x 2)))))> |
#<alt (* x (* (pow y 2) (+ 1/6 (* -1/36 (pow x 2)))))> |
#<alt (* x (* (pow y 2) (+ 1/6 (* -1/36 (pow x 2)))))> |
#<alt (* x (* (pow y 2) (+ 1/6 (* -1/36 (pow x 2)))))> |
#<alt (* x (* (pow y 2) (+ 1/6 (* -1/36 (pow x 2)))))> |
#<alt (* x (* (pow y 2) (+ 1/6 (* -1/36 (pow x 2)))))> |
#<alt (* x (* (pow y 2) (+ 1/6 (* -1/36 (pow x 2)))))> |
#<alt (* x (* (pow y 2) (+ 1/6 (* -1/36 (pow x 2)))))> |
#<alt (* 1/6 (* x (pow y 2)))> |
#<alt (* x (+ (* -1/36 (* (pow x 2) (pow y 2))) (* 1/6 (pow y 2))))> |
#<alt (* x (+ (* -1/36 (* (pow x 2) (pow y 2))) (* 1/6 (pow y 2))))> |
#<alt (* x (+ (* -1/36 (* (pow x 2) (pow y 2))) (* 1/6 (pow y 2))))> |
#<alt (* -1/36 (* (pow x 3) (pow y 2)))> |
#<alt (* (pow x 3) (+ (* -1/36 (pow y 2)) (* 1/6 (/ (pow y 2) (pow x 2)))))> |
#<alt (* (pow x 3) (+ (* -1/36 (pow y 2)) (* 1/6 (/ (pow y 2) (pow x 2)))))> |
#<alt (* (pow x 3) (+ (* -1/36 (pow y 2)) (* 1/6 (/ (pow y 2) (pow x 2)))))> |
#<alt (* -1/36 (* (pow x 3) (pow y 2)))> |
#<alt (* -1 (* (pow x 3) (+ (* -1/6 (/ (pow y 2) (pow x 2))) (* 1/36 (pow y 2)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1/6 (/ (pow y 2) (pow x 2))) (* 1/36 (pow y 2)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1/6 (/ (pow y 2) (pow x 2))) (* 1/36 (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 (* 1/6 x)> |
#<alt (* x (+ 1/6 (* -1/36 (pow x 2))))> |
#<alt (* x (+ 1/6 (* -1/36 (pow x 2))))> |
#<alt (* x (+ 1/6 (* -1/36 (pow x 2))))> |
#<alt (* -1/36 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/36))> |
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/36))> |
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/36))> |
#<alt (* -1/36 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/36 (* 1/6 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/36 (* 1/6 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/36 (* 1/6 (/ 1 (pow x 2))))))> |
#<alt 1/6> |
#<alt (+ 1/6 (* -1/36 (pow x 2)))> |
#<alt (+ 1/6 (* -1/36 (pow x 2)))> |
#<alt (+ 1/6 (* -1/36 (pow x 2)))> |
#<alt (* -1/36 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/36))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/36))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/36))> |
#<alt (* -1/36 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/36))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/36))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/36))> |
#<alt (* x (+ 1/6 (* 1/120 (pow y 2))))> |
#<alt (* x (+ 1/6 (* 1/120 (pow y 2))))> |
#<alt (* x (+ 1/6 (* 1/120 (pow y 2))))> |
#<alt (* x (+ 1/6 (* 1/120 (pow y 2))))> |
#<alt (* x (+ 1/6 (* 1/120 (pow y 2))))> |
#<alt (* x (+ 1/6 (* 1/120 (pow y 2))))> |
#<alt (* x (+ 1/6 (* 1/120 (pow y 2))))> |
#<alt (* x (+ 1/6 (* 1/120 (pow y 2))))> |
#<alt (* -1 (* x (- (* -1/120 (pow y 2)) 1/6)))> |
#<alt (* -1 (* x (- (* -1/120 (pow y 2)) 1/6)))> |
#<alt (* -1 (* x (- (* -1/120 (pow y 2)) 1/6)))> |
#<alt (* -1 (* x (- (* -1/120 (pow y 2)) 1/6)))> |
#<alt (* 1/6 x)> |
#<alt (+ (* 1/120 (* x (pow y 2))) (* 1/6 x))> |
#<alt (+ (* 1/120 (* x (pow y 2))) (* 1/6 x))> |
#<alt (+ (* 1/120 (* x (pow y 2))) (* 1/6 x))> |
#<alt (* 1/120 (* x (pow y 2)))> |
#<alt (* (pow y 2) (+ (* 1/120 x) (* 1/6 (/ x (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* 1/120 x) (* 1/6 (/ x (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* 1/120 x) (* 1/6 (/ x (pow y 2)))))> |
#<alt (* 1/120 (* x (pow y 2)))> |
#<alt (* (pow y 2) (+ (* 1/120 x) (* 1/6 (/ x (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* 1/120 x) (* 1/6 (/ x (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* 1/120 x) (* 1/6 (/ x (pow y 2)))))> |
#<alt x> |
#<alt (+ x (* 1/6 (* x (pow y 2))))> |
#<alt (+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x))))> |
#<alt (+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x))))> |
#<alt (* 1/120 (* x (pow y 4)))> |
#<alt (* (pow y 4) (+ (* 1/120 x) (* 1/6 (/ x (pow y 2)))))> |
#<alt (* (pow y 4) (+ (* 1/120 x) (+ (* 1/6 (/ x (pow y 2))) (/ x (pow y 4)))))> |
#<alt (* (pow y 4) (+ (* 1/120 x) (+ (* 1/6 (/ x (pow y 2))) (/ x (pow y 4)))))> |
#<alt (* 1/120 (* x (pow y 4)))> |
#<alt (* (pow y 4) (+ (* 1/120 x) (* 1/6 (/ x (pow y 2)))))> |
#<alt (* (pow y 4) (+ (* 1/120 x) (+ (* 1/6 (/ x (pow y 2))) (/ x (pow y 4)))))> |
#<alt (* (pow y 4) (+ (* 1/120 x) (+ (* 1/6 (/ x (pow y 2))) (/ x (pow y 4)))))> |
#<alt (* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* -1 (* x (- (* (pow y 2) (- (* -1/120 (pow y 2)) 1/6)) 1)))> |
#<alt (* -1 (* x (- (* (pow y 2) (- (* -1/120 (pow y 2)) 1/6)) 1)))> |
#<alt (* -1 (* x (- (* (pow y 2) (- (* -1/120 (pow y 2)) 1/6)) 1)))> |
#<alt (* -1 (* x (- (* (pow y 2) (- (* -1/120 (pow y 2)) 1/6)) 1)))> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt 1> |
#<alt (+ 1 (* 1/5040 (pow y 6)))> |
#<alt (+ 1 (* 1/5040 (pow y 6)))> |
#<alt (+ 1 (* 1/5040 (pow y 6)))> |
#<alt (* 1/5040 (pow y 6))> |
#<alt (* (pow y 6) (+ 1/5040 (/ 1 (pow y 6))))> |
#<alt (* (pow y 6) (+ 1/5040 (/ 1 (pow y 6))))> |
#<alt (* (pow y 6) (+ 1/5040 (/ 1 (pow y 6))))> |
#<alt (* 1/5040 (pow y 6))> |
#<alt (* (pow y 6) (+ 1/5040 (/ 1 (pow y 6))))> |
#<alt (* (pow y 6) (+ 1/5040 (/ 1 (pow y 6))))> |
#<alt (* (pow y 6) (+ 1/5040 (/ 1 (pow y 6))))> |
#<alt (/ (* x (+ y (* 1/5040 (pow y 7)))) y)> |
#<alt (/ (* x (+ y (* 1/5040 (pow y 7)))) y)> |
#<alt (/ (* x (+ y (* 1/5040 (pow y 7)))) y)> |
#<alt (/ (* x (+ y (* 1/5040 (pow y 7)))) y)> |
#<alt (/ (* x (+ y (* 1/5040 (pow y 7)))) y)> |
#<alt (/ (* x (+ y (* 1/5040 (pow y 7)))) y)> |
#<alt (/ (* x (+ y (* 1/5040 (pow y 7)))) y)> |
#<alt (/ (* x (+ y (* 1/5040 (pow y 7)))) y)> |
#<alt (/ (* x (+ y (* 1/5040 (pow y 7)))) y)> |
#<alt (/ (* x (+ y (* 1/5040 (pow y 7)))) y)> |
#<alt (/ (* x (+ y (* 1/5040 (pow y 7)))) y)> |
#<alt (/ (* x (+ y (* 1/5040 (pow y 7)))) y)> |
#<alt x> |
#<alt (+ x (* 1/5040 (* x (pow y 6))))> |
#<alt (+ x (* 1/5040 (* x (pow y 6))))> |
#<alt (+ x (* 1/5040 (* x (pow y 6))))> |
#<alt (* 1/5040 (* x (pow y 6)))> |
#<alt (* (pow y 6) (+ (* 1/5040 x) (/ x (pow y 6))))> |
#<alt (* (pow y 6) (+ (* 1/5040 x) (/ x (pow y 6))))> |
#<alt (* (pow y 6) (+ (* 1/5040 x) (/ x (pow y 6))))> |
#<alt (* 1/5040 (* x (pow y 6)))> |
#<alt (* (pow y 6) (+ (* 1/5040 x) (/ x (pow y 6))))> |
#<alt (* (pow y 6) (+ (* 1/5040 x) (/ x (pow y 6))))> |
#<alt (* (pow y 6) (+ (* 1/5040 x) (/ x (pow y 6))))> |
#<alt y> |
#<alt (* y (+ 1 (* 1/5040 (pow y 6))))> |
#<alt (* y (+ 1 (* 1/5040 (pow y 6))))> |
#<alt (* y (+ 1 (* 1/5040 (pow y 6))))> |
#<alt (* 1/5040 (pow y 7))> |
#<alt (* (pow y 7) (+ 1/5040 (/ 1 (pow y 6))))> |
#<alt (* (pow y 7) (+ 1/5040 (/ 1 (pow y 6))))> |
#<alt (* (pow y 7) (+ 1/5040 (/ 1 (pow y 6))))> |
#<alt (* 1/5040 (pow y 7))> |
#<alt (* (pow y 7) (+ 1/5040 (/ 1 (pow y 6))))> |
#<alt (* (pow y 7) (+ 1/5040 (/ 1 (pow y 6))))> |
#<alt (* (pow y 7) (+ 1/5040 (/ 1 (pow y 6))))> |
#<alt (* 1/5040 (pow y 4))> |
#<alt (* 1/5040 (pow y 4))> |
#<alt (* 1/5040 (pow y 4))> |
#<alt (* 1/5040 (pow y 4))> |
#<alt (* 1/5040 (pow y 4))> |
#<alt (* 1/5040 (pow y 4))> |
#<alt (* 1/5040 (pow y 4))> |
#<alt (* 1/5040 (pow y 4))> |
#<alt (* 1/5040 (pow y 4))> |
#<alt (* 1/5040 (pow y 4))> |
#<alt (* 1/5040 (pow y 4))> |
#<alt (* 1/5040 (pow y 4))> |
#<alt (* 1/6 y)> |
#<alt (* y (+ 1/6 (* 1/120 (pow y 2))))> |
#<alt (* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))> |
#<alt (* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))> |
#<alt (* 1/5040 (pow y 5))> |
#<alt (* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))> |
#<alt (* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))> |
#<alt (* 1/5040 (pow y 5))> |
#<alt (* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))> |
#<alt (* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))> |
#<alt (* 1/120 y)> |
#<alt (* y (+ 1/120 (* 1/5040 (pow y 2))))> |
#<alt (* y (+ 1/120 (* 1/5040 (pow y 2))))> |
#<alt (* y (+ 1/120 (* 1/5040 (pow y 2))))> |
#<alt (* 1/5040 (pow y 3))> |
#<alt (* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* 1/5040 (pow y 3))> |
#<alt (* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/5040 (pow y 2))> |
#<alt (* 1/5040 (pow y 2))> |
#<alt (* 1/5040 (pow y 2))> |
#<alt (* 1/5040 (pow y 2))> |
#<alt (* 1/5040 (pow y 2))> |
#<alt (* 1/5040 (pow y 2))> |
#<alt (* 1/5040 (pow y 2))> |
#<alt (* 1/5040 (pow y 2))> |
#<alt (* 1/5040 (pow y 2))> |
#<alt (* 1/5040 (pow y 2))> |
#<alt (* 1/5040 (pow y 2))> |
#<alt (* 1/5040 (pow y 2))> |
87 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | 0 | (* (* y y) (* x (+ (* (* x x) -1/36) 1/6))) |
| 2.0ms | x | @ | 0 | (* x (/ (+ (* (* y (* y (* (* y y) 1/5040))) (* y (* y y))) y) y)) |
| 1.0ms | y | @ | inf | (+ (* (* x y) (* y 1/120)) (* 1/6 x)) |
| 1.0ms | y | @ | inf | (/ (+ (* (* y (* y (* (* y y) 1/5040))) (* y (* y y))) y) y) |
| 1.0ms | x | @ | 0 | (+ (* (* x y) (* y 1/120)) (* 1/6 x)) |
| 1× | batch-egg-rewrite |
| 6 028× | *-lowering-*.f32 |
| 6 028× | *-lowering-*.f64 |
| 5 202× | accelerator-lowering-fma.f32 |
| 5 202× | accelerator-lowering-fma.f64 |
| 4 192× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 247 |
| 1 | 235 | 241 |
| 2 | 1777 | 233 |
| 0 | 8432 | 209 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (/ y (+ (* (* y y) (* y (+ (* 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)) |
(* x (/ 1 (/ 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) |
(* -1/6 (* x (* x x))) |
(* x (* x x)) |
(* x x) |
(* (* y y) (* x (+ (* (* x x) -1/36) 1/6))) |
(* y y) |
(* x (+ (* (* x x) -1/36) 1/6)) |
(+ (* (* x x) -1/36) 1/6) |
(+ (* (* x y) (* y 1/120)) (* 1/6 x)) |
(+ (* (* y y) (+ (* (* x y) (* y 1/120)) (* 1/6 x))) x) |
(* x y) |
(/ (+ (* (* y (* y (* (* y y) 1/5040))) (* y (* y y))) y) y) |
(* x (/ (+ (* (* y (* y (* (* y y) 1/5040))) (* y (* y y))) y) y)) |
(+ (* (* y (* y (* (* y y) 1/5040))) (* y (* y y))) y) |
(* y (* y (* (* y y) 1/5040))) |
(* y (+ (* y (* y (+ (* y (* y 1/5040)) 1/120))) 1/6)) |
(* y (+ (* y (* y 1/5040)) 1/120)) |
(* 1/6 x) |
(* y 1/120) |
(* (* y y) 1/5040) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y 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)))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y 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)) |
(+.f64 (*.f64 y (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 (*.f64 y 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)))) (/.f64 #s(literal 1 binary64) y))) |
(+.f64 (*.f64 (*.f64 (*.f64 y 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)))) (/.f64 #s(literal 1 binary64) y)) (*.f64 y (/.f64 #s(literal 1 binary64) y))) |
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(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (-.f64 (*.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 y y) (*.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 (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) (*.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y #s(literal 1/6 binary64))))) (neg.f64 (-.f64 (*.f64 (*.f64 y y) (*.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 (*.f64 y (fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/216 binary64)))) (neg.f64 (fma.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (*.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 y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) |
(/.f64 (neg.f64 (*.f64 y (fma.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 -1/36 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 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/216 binary64)) y)) (neg.f64 (fma.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (*.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 y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (fma.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 -1/36 binary64)) y)) (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 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.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 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))))) (fma.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 y #s(literal 1/6 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))))) (*.f64 (*.f64 y #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))))) |
(*.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))) |
(*.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)) y) |
(+.f64 (*.f64 y #s(literal 1/120 binary64)) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) |
(+.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) (*.f64 y #s(literal 1/120 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) (-.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) (*.f64 y #s(literal 1/120 binary64)))) (/.f64 (*.f64 (*.f64 y #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/120 binary64))) (-.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) (*.f64 y #s(literal 1/120 binary64))))) |
(fma.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) (*.f64 y #s(literal 1/120 binary64))) |
(fma.f64 y #s(literal 1/120 binary64) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) |
(fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/5040 binary64)) (*.f64 y #s(literal 1/120 binary64))) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y (*.f64 y y)) (*.f64 y #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 y #s(literal 1/5040 binary64)) (*.f64 y y) (*.f64 y #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) y (*.f64 y #s(literal 1/120 binary64))) |
(fma.f64 #s(literal 1/120 binary64) y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) |
(fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/5040 binary64) (*.f64 y #s(literal 1/120 binary64))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64))) (fma.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) (-.f64 (*.f64 (*.f64 y #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/120 binary64))) (*.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) (*.f64 y #s(literal 1/120 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) (*.f64 (*.f64 y #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/120 binary64)))) (-.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) (*.f64 y #s(literal 1/120 binary64)))) |
(/.f64 (*.f64 y (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))) |
(/.f64 (*.f64 y (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) y) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64))) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)))) (neg.f64 (fma.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) (-.f64 (*.f64 (*.f64 y #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/120 binary64))) (*.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) (*.f64 y #s(literal 1/120 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) (*.f64 (*.f64 y #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/120 binary64))))) (neg.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) (*.f64 y #s(literal 1/120 binary64))))) |
(/.f64 (neg.f64 (*.f64 y (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 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))) |
(/.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)))) (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) |
(/.f64 (neg.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)) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) y)) (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64))))) (fma.f64 (*.f64 y #s(literal 1/120 binary64)) (*.f64 y #s(literal 1/120 binary64)) (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) (*.f64 (*.f64 y #s(literal 1/120 binary64)) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))))) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) |
(*.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) y) |
(*.f64 #s(literal 1/6 binary64) x) |
(*.f64 x #s(literal 1/6 binary64)) |
(*.f64 y #s(literal 1/120 binary64)) |
(*.f64 #s(literal 1/120 binary64) y) |
(*.f64 y (*.f64 y #s(literal 1/5040 binary64))) |
(*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y #s(literal 1/5040 binary64)) y) |
| 1× | egg-herbie |
| 9 366× | accelerator-lowering-fma.f32 |
| 9 366× | accelerator-lowering-fma.f64 |
| 4 816× | *-lowering-*.f32 |
| 4 816× | *-lowering-*.f64 |
| 3 674× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 212 | 3188 |
| 1 | 681 | 3152 |
| 2 | 1909 | 3063 |
| 3 | 4176 | 3052 |
| 0 | 8128 | 2866 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(* 1/5040 (pow y 6)) |
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))) |
(* 1/5040 (pow y 6)) |
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 7/360 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 7/360 (* -31/15120 (pow y 2)))) 1/6))) |
(/ 5040 (pow y 6)) |
(/ (- 5040 (* 211680 (/ 1 (pow y 2)))) (pow y 6)) |
(/ (- (+ 5040 (/ 4656960 (pow y 4))) (* 211680 (/ 1 (pow y 2)))) (pow y 6)) |
(/ (- (+ 5040 (/ 4656960 (pow y 4))) (+ (* 211680 (/ 1 (pow y 2))) (* 43182720 (/ 1 (pow y 6))))) (pow y 6)) |
(/ 5040 (pow y 6)) |
(/ (- 5040 (* 211680 (/ 1 (pow y 2)))) (pow y 6)) |
(/ (- (+ 5040 (/ 4656960 (pow y 4))) (* 211680 (/ 1 (pow y 2)))) (pow y 6)) |
(/ (- (+ 5040 (/ 4656960 (pow y 4))) (+ (* 211680 (/ 1 (pow y 2))) (* 43182720 (/ 1 (pow y 6))))) (pow y 6)) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
x |
(+ x (* 1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x)))) |
(+ x (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* 1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(* 1/5040 (* x (pow y 6))) |
(* (pow y 6) (+ (* 1/5040 x) (* 1/120 (/ x (pow y 2))))) |
(* (pow y 6) (+ (* 1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (* 1/6 (/ x (pow y 4)))))) |
(* (pow y 6) (+ (* 1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (+ (* 1/6 (/ x (pow y 4))) (/ x (pow y 6)))))) |
(* 1/5040 (* x (pow y 6))) |
(* (pow y 6) (+ (* 1/5040 x) (* 1/120 (/ x (pow y 2))))) |
(* (pow y 6) (+ (* 1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (* 1/6 (/ x (pow y 4)))))) |
(* (pow y 6) (+ (* 1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (+ (* 1/6 (/ x (pow y 4))) (/ x (pow y 6)))))) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(* 1/5040 (pow y 7)) |
(* (pow y 7) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))) |
(* 1/5040 (pow y 7)) |
(* (pow y 7) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) |
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 4))) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))))) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(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) |
(* x (* (pow y 2) (+ 1/6 (* -1/36 (pow x 2))))) |
(* x (* (pow y 2) (+ 1/6 (* -1/36 (pow x 2))))) |
(* x (* (pow y 2) (+ 1/6 (* -1/36 (pow x 2))))) |
(* x (* (pow y 2) (+ 1/6 (* -1/36 (pow x 2))))) |
(* x (* (pow y 2) (+ 1/6 (* -1/36 (pow x 2))))) |
(* x (* (pow y 2) (+ 1/6 (* -1/36 (pow x 2))))) |
(* x (* (pow y 2) (+ 1/6 (* -1/36 (pow x 2))))) |
(* x (* (pow y 2) (+ 1/6 (* -1/36 (pow x 2))))) |
(* x (* (pow y 2) (+ 1/6 (* -1/36 (pow x 2))))) |
(* x (* (pow y 2) (+ 1/6 (* -1/36 (pow x 2))))) |
(* x (* (pow y 2) (+ 1/6 (* -1/36 (pow x 2))))) |
(* x (* (pow y 2) (+ 1/6 (* -1/36 (pow x 2))))) |
(* 1/6 (* x (pow y 2))) |
(* x (+ (* -1/36 (* (pow x 2) (pow y 2))) (* 1/6 (pow y 2)))) |
(* x (+ (* -1/36 (* (pow x 2) (pow y 2))) (* 1/6 (pow y 2)))) |
(* x (+ (* -1/36 (* (pow x 2) (pow y 2))) (* 1/6 (pow y 2)))) |
(* -1/36 (* (pow x 3) (pow y 2))) |
(* (pow x 3) (+ (* -1/36 (pow y 2)) (* 1/6 (/ (pow y 2) (pow x 2))))) |
(* (pow x 3) (+ (* -1/36 (pow y 2)) (* 1/6 (/ (pow y 2) (pow x 2))))) |
(* (pow x 3) (+ (* -1/36 (pow y 2)) (* 1/6 (/ (pow y 2) (pow x 2))))) |
(* -1/36 (* (pow x 3) (pow y 2))) |
(* -1 (* (pow x 3) (+ (* -1/6 (/ (pow y 2) (pow x 2))) (* 1/36 (pow y 2))))) |
(* -1 (* (pow x 3) (+ (* -1/6 (/ (pow y 2) (pow x 2))) (* 1/36 (pow y 2))))) |
(* -1 (* (pow x 3) (+ (* -1/6 (/ (pow y 2) (pow x 2))) (* 1/36 (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) |
(* 1/6 x) |
(* x (+ 1/6 (* -1/36 (pow x 2)))) |
(* x (+ 1/6 (* -1/36 (pow x 2)))) |
(* x (+ 1/6 (* -1/36 (pow x 2)))) |
(* -1/36 (pow x 3)) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/36)) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/36)) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/36)) |
(* -1/36 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/36 (* 1/6 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/36 (* 1/6 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/36 (* 1/6 (/ 1 (pow x 2)))))) |
1/6 |
(+ 1/6 (* -1/36 (pow x 2))) |
(+ 1/6 (* -1/36 (pow x 2))) |
(+ 1/6 (* -1/36 (pow x 2))) |
(* -1/36 (pow x 2)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/36)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/36)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/36)) |
(* -1/36 (pow x 2)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/36)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/36)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/36)) |
(* x (+ 1/6 (* 1/120 (pow y 2)))) |
(* x (+ 1/6 (* 1/120 (pow y 2)))) |
(* x (+ 1/6 (* 1/120 (pow y 2)))) |
(* x (+ 1/6 (* 1/120 (pow y 2)))) |
(* x (+ 1/6 (* 1/120 (pow y 2)))) |
(* x (+ 1/6 (* 1/120 (pow y 2)))) |
(* x (+ 1/6 (* 1/120 (pow y 2)))) |
(* x (+ 1/6 (* 1/120 (pow y 2)))) |
(* -1 (* x (- (* -1/120 (pow y 2)) 1/6))) |
(* -1 (* x (- (* -1/120 (pow y 2)) 1/6))) |
(* -1 (* x (- (* -1/120 (pow y 2)) 1/6))) |
(* -1 (* x (- (* -1/120 (pow y 2)) 1/6))) |
(* 1/6 x) |
(+ (* 1/120 (* x (pow y 2))) (* 1/6 x)) |
(+ (* 1/120 (* x (pow y 2))) (* 1/6 x)) |
(+ (* 1/120 (* x (pow y 2))) (* 1/6 x)) |
(* 1/120 (* x (pow y 2))) |
(* (pow y 2) (+ (* 1/120 x) (* 1/6 (/ x (pow y 2))))) |
(* (pow y 2) (+ (* 1/120 x) (* 1/6 (/ x (pow y 2))))) |
(* (pow y 2) (+ (* 1/120 x) (* 1/6 (/ x (pow y 2))))) |
(* 1/120 (* x (pow y 2))) |
(* (pow y 2) (+ (* 1/120 x) (* 1/6 (/ x (pow y 2))))) |
(* (pow y 2) (+ (* 1/120 x) (* 1/6 (/ x (pow y 2))))) |
(* (pow y 2) (+ (* 1/120 x) (* 1/6 (/ x (pow y 2))))) |
x |
(+ x (* 1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x)))) |
(+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x)))) |
(* 1/120 (* x (pow y 4))) |
(* (pow y 4) (+ (* 1/120 x) (* 1/6 (/ x (pow y 2))))) |
(* (pow y 4) (+ (* 1/120 x) (+ (* 1/6 (/ x (pow y 2))) (/ x (pow y 4))))) |
(* (pow y 4) (+ (* 1/120 x) (+ (* 1/6 (/ x (pow y 2))) (/ x (pow y 4))))) |
(* 1/120 (* x (pow y 4))) |
(* (pow y 4) (+ (* 1/120 x) (* 1/6 (/ x (pow y 2))))) |
(* (pow y 4) (+ (* 1/120 x) (+ (* 1/6 (/ x (pow y 2))) (/ x (pow y 4))))) |
(* (pow y 4) (+ (* 1/120 x) (+ (* 1/6 (/ x (pow y 2))) (/ x (pow y 4))))) |
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* -1 (* x (- (* (pow y 2) (- (* -1/120 (pow y 2)) 1/6)) 1))) |
(* -1 (* x (- (* (pow y 2) (- (* -1/120 (pow y 2)) 1/6)) 1))) |
(* -1 (* x (- (* (pow y 2) (- (* -1/120 (pow y 2)) 1/6)) 1))) |
(* -1 (* x (- (* (pow y 2) (- (* -1/120 (pow y 2)) 1/6)) 1))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
1 |
(+ 1 (* 1/5040 (pow y 6))) |
(+ 1 (* 1/5040 (pow y 6))) |
(+ 1 (* 1/5040 (pow y 6))) |
(* 1/5040 (pow y 6)) |
(* (pow y 6) (+ 1/5040 (/ 1 (pow y 6)))) |
(* (pow y 6) (+ 1/5040 (/ 1 (pow y 6)))) |
(* (pow y 6) (+ 1/5040 (/ 1 (pow y 6)))) |
(* 1/5040 (pow y 6)) |
(* (pow y 6) (+ 1/5040 (/ 1 (pow y 6)))) |
(* (pow y 6) (+ 1/5040 (/ 1 (pow y 6)))) |
(* (pow y 6) (+ 1/5040 (/ 1 (pow y 6)))) |
(/ (* x (+ y (* 1/5040 (pow y 7)))) y) |
(/ (* x (+ y (* 1/5040 (pow y 7)))) y) |
(/ (* x (+ y (* 1/5040 (pow y 7)))) y) |
(/ (* x (+ y (* 1/5040 (pow y 7)))) y) |
(/ (* x (+ y (* 1/5040 (pow y 7)))) y) |
(/ (* x (+ y (* 1/5040 (pow y 7)))) y) |
(/ (* x (+ y (* 1/5040 (pow y 7)))) y) |
(/ (* x (+ y (* 1/5040 (pow y 7)))) y) |
(/ (* x (+ y (* 1/5040 (pow y 7)))) y) |
(/ (* x (+ y (* 1/5040 (pow y 7)))) y) |
(/ (* x (+ y (* 1/5040 (pow y 7)))) y) |
(/ (* x (+ y (* 1/5040 (pow y 7)))) y) |
x |
(+ x (* 1/5040 (* x (pow y 6)))) |
(+ x (* 1/5040 (* x (pow y 6)))) |
(+ x (* 1/5040 (* x (pow y 6)))) |
(* 1/5040 (* x (pow y 6))) |
(* (pow y 6) (+ (* 1/5040 x) (/ x (pow y 6)))) |
(* (pow y 6) (+ (* 1/5040 x) (/ x (pow y 6)))) |
(* (pow y 6) (+ (* 1/5040 x) (/ x (pow y 6)))) |
(* 1/5040 (* x (pow y 6))) |
(* (pow y 6) (+ (* 1/5040 x) (/ x (pow y 6)))) |
(* (pow y 6) (+ (* 1/5040 x) (/ x (pow y 6)))) |
(* (pow y 6) (+ (* 1/5040 x) (/ x (pow y 6)))) |
y |
(* y (+ 1 (* 1/5040 (pow y 6)))) |
(* y (+ 1 (* 1/5040 (pow y 6)))) |
(* y (+ 1 (* 1/5040 (pow y 6)))) |
(* 1/5040 (pow y 7)) |
(* (pow y 7) (+ 1/5040 (/ 1 (pow y 6)))) |
(* (pow y 7) (+ 1/5040 (/ 1 (pow y 6)))) |
(* (pow y 7) (+ 1/5040 (/ 1 (pow y 6)))) |
(* 1/5040 (pow y 7)) |
(* (pow y 7) (+ 1/5040 (/ 1 (pow y 6)))) |
(* (pow y 7) (+ 1/5040 (/ 1 (pow y 6)))) |
(* (pow y 7) (+ 1/5040 (/ 1 (pow y 6)))) |
(* 1/5040 (pow y 4)) |
(* 1/5040 (pow y 4)) |
(* 1/5040 (pow y 4)) |
(* 1/5040 (pow y 4)) |
(* 1/5040 (pow y 4)) |
(* 1/5040 (pow y 4)) |
(* 1/5040 (pow y 4)) |
(* 1/5040 (pow y 4)) |
(* 1/5040 (pow y 4)) |
(* 1/5040 (pow y 4)) |
(* 1/5040 (pow y 4)) |
(* 1/5040 (pow y 4)) |
(* 1/6 y) |
(* y (+ 1/6 (* 1/120 (pow y 2)))) |
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(* y (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))) |
(* 1/5040 (pow y 5)) |
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 5) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* 1/5040 (pow y 5)) |
(* (pow y 5) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) |
(* 1/120 y) |
(* y (+ 1/120 (* 1/5040 (pow y 2)))) |
(* y (+ 1/120 (* 1/5040 (pow y 2)))) |
(* y (+ 1/120 (* 1/5040 (pow y 2)))) |
(* 1/5040 (pow y 3)) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* 1/5040 (pow y 3)) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/5040 (pow y 2)) |
(* 1/5040 (pow y 2)) |
(* 1/5040 (pow y 2)) |
(* 1/5040 (pow y 2)) |
(* 1/5040 (pow y 2)) |
(* 1/5040 (pow y 2)) |
(* 1/5040 (pow y 2)) |
(* 1/5040 (pow y 2)) |
(* 1/5040 (pow y 2)) |
(* 1/5040 (pow y 2)) |
(* 1/5040 (pow y 2)) |
(* 1/5040 (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 (*.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)) |
(* 1/5040 (pow y 6)) |
(*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 6 binary64))) |
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))) |
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) #s(literal 1 binary64)) |
(* 1/5040 (pow y 6)) |
(*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 6 binary64))) |
(* (pow y 6) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(*.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))))) |
(* (pow y 6) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))) |
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 7/360 (pow y 2)) 1/6))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 7/360 (* -31/15120 (pow y 2)))) 1/6))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -31/15120 binary64) #s(literal 7/360 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(/ 5040 (pow y 6)) |
(/.f64 #s(literal 5040 binary64) (pow.f64 y #s(literal 6 binary64))) |
(/ (- 5040 (* 211680 (/ 1 (pow y 2)))) (pow y 6)) |
(/.f64 (+.f64 #s(literal 5040 binary64) (/.f64 #s(literal -211680 binary64) (*.f64 y y))) (pow.f64 y #s(literal 6 binary64))) |
(/ (- (+ 5040 (/ 4656960 (pow y 4))) (* 211680 (/ 1 (pow y 2)))) (pow y 6)) |
(/.f64 (+.f64 #s(literal 5040 binary64) (+.f64 (/.f64 #s(literal 4656960 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal -211680 binary64) (*.f64 y y)))) (pow.f64 y #s(literal 6 binary64))) |
(/ (- (+ 5040 (/ 4656960 (pow y 4))) (+ (* 211680 (/ 1 (pow y 2))) (* 43182720 (/ 1 (pow y 6))))) (pow y 6)) |
(/.f64 (+.f64 (+.f64 #s(literal 5040 binary64) (/.f64 #s(literal -211680 binary64) (*.f64 y y))) (+.f64 (/.f64 #s(literal -43182720 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 4656960 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (pow.f64 y #s(literal 6 binary64))) |
(/ 5040 (pow y 6)) |
(/.f64 #s(literal 5040 binary64) (pow.f64 y #s(literal 6 binary64))) |
(/ (- 5040 (* 211680 (/ 1 (pow y 2)))) (pow y 6)) |
(/.f64 (+.f64 #s(literal 5040 binary64) (/.f64 #s(literal -211680 binary64) (*.f64 y y))) (pow.f64 y #s(literal 6 binary64))) |
(/ (- (+ 5040 (/ 4656960 (pow y 4))) (* 211680 (/ 1 (pow y 2)))) (pow y 6)) |
(/.f64 (+.f64 #s(literal 5040 binary64) (+.f64 (/.f64 #s(literal 4656960 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal -211680 binary64) (*.f64 y y)))) (pow.f64 y #s(literal 6 binary64))) |
(/ (- (+ 5040 (/ 4656960 (pow y 4))) (+ (* 211680 (/ 1 (pow y 2))) (* 43182720 (/ 1 (pow y 6))))) (pow y 6)) |
(/.f64 (+.f64 (+.f64 #s(literal 5040 binary64) (/.f64 #s(literal -211680 binary64) (*.f64 y y))) (+.f64 (/.f64 #s(literal -43182720 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 4656960 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (pow.f64 y #s(literal 6 binary64))) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
(*.f64 x (*.f64 #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)))) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
(*.f64 x (*.f64 #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)))) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
(*.f64 x (*.f64 #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)))) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
(*.f64 x (*.f64 #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)))) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
(*.f64 x (*.f64 #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)))) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
(*.f64 x (*.f64 #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)))) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
(*.f64 x (*.f64 #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)))) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
(*.f64 x (*.f64 #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)))) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
(*.f64 x (*.f64 #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)))) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
(*.f64 x (*.f64 #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)))) |
(/ (* x (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) y) |
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(fma.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) (*.f64 (*.f64 y #s(literal 1/120 binary64)) #s(literal 1 binary64))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) (*.f64 (*.f64 y #s(literal 1/120 binary64)) #s(literal 1 binary64))) |
(* 1/5040 (pow y 3)) |
(*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) (*.f64 (*.f64 y #s(literal 1/120 binary64)) #s(literal 1 binary64))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) (*.f64 (*.f64 y #s(literal 1/120 binary64)) #s(literal 1 binary64))) |
(* (pow y 3) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) (*.f64 (*.f64 y #s(literal 1/120 binary64)) #s(literal 1 binary64))) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/5040 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/5040 binary64))) |
(* 1/5040 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/5040 binary64))) |
(* 1/5040 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/5040 binary64))) |
(* 1/5040 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/5040 binary64))) |
(* 1/5040 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/5040 binary64))) |
(* 1/5040 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/5040 binary64))) |
(* 1/5040 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/5040 binary64))) |
(* 1/5040 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/5040 binary64))) |
(* 1/5040 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/5040 binary64))) |
(* 1/5040 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/5040 binary64))) |
(* 1/5040 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/5040 binary64))) |
(* 1/5040 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/5040 binary64))) |
Compiled 44 113 to 2 898 computations (93.4% saved)
49 alts after pruning (42 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 127 | 20 | 1 147 |
| Fresh | 11 | 22 | 33 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 141 | 49 | 1 190 |
| Status | Accuracy | Program |
|---|---|---|
| 35.7% | (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) | |
| 50.1% | (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y x)) x) | |
| 34.2% | (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))) x) | |
| 50.1% | (fma.f64 (*.f64 (*.f64 y x) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) y x) | |
| 50.1% | (fma.f64 (*.f64 y (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) y x) | |
| 53.1% | (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 #s(literal 1/6 binary64) x)) x) | |
| ✓ | 50.1% | (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 #s(literal 1/6 binary64) x)) x) |
| 49.7% | (fma.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 #s(literal 1/120 binary64) x))) x) | |
| 49.7% | (fma.f64 (*.f64 y y) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) x) | |
| 38.8% | (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) | |
| 39.5% | (fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x) | |
| 47.0% | (fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) x) | |
| 42.6% | (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x)) x) | |
| 43.2% | (/.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) y)) y) | |
| 32.0% | (/.f64 (*.f64 x (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))) | |
| 56.1% | (/.f64 x (/.f64 y (fma.f64 (*.f64 y 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))) y))) | |
| 43.2% | (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) y)))) | |
| 50.1% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) x) x))) | |
| 52.9% | (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| 51.1% | (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) | |
| 54.9% | (*.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) 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))) | |
| 21.8% | (*.f64 (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y x))) | |
| 51.1% | (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) x) | |
| 25.3% | (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) x)) | |
| 25.3% | (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y (*.f64 y x))) | |
| 21.8% | (*.f64 (*.f64 y (*.f64 y x)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) | |
| 21.8% | (*.f64 (*.f64 y (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 1/6 binary64)))) y) | |
| 26.1% | (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/36 binary64)) (*.f64 #s(literal 1/6 binary64) x))) | |
| 15.2% | (*.f64 (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/36 binary64))) | |
| 29.8% | (*.f64 (*.f64 y y) (*.f64 x (*.f64 x (*.f64 x (-.f64 #s(literal -1/36 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))))) | |
| 22.3% | (*.f64 (*.f64 y y) (*.f64 x #s(literal 1/6 binary64))) | |
| 13.9% | (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) | |
| 13.9% | (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) | |
| ✓ | 86.3% | (*.f64 (sin.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))) |
| ✓ | 79.3% | (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
| 56.1% | (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| 56.1% | (*.f64 x (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))) | |
| 52.0% | (*.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))) | |
| 39.3% | (*.f64 x (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) | |
| 55.7% | (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) y) (*.f64 y (*.f64 y y)) y) y)) | |
| 51.1% | (*.f64 x (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))) | |
| 44.9% | (*.f64 x (/.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) | |
| ✓ | 59.4% | (*.f64 x (/.f64 (sinh.f64 y) y)) |
| 55.6% | (*.f64 x (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) y) (/.f64 #s(literal 1 binary64) y))) | |
| 15.3% | (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal -1/36 binary64) #s(literal -1/6 binary64)))) | |
| 17.9% | (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x))) | |
| ✓ | 13.9% | (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | 54.6% | (sin.f64 x) |
| ✓ | 28.1% | x |
Compiled 1 852 to 697 computations (62.4% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y y) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x)) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) x) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) |
(fma.f64 (*.f64 y y) (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/36 binary64))) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) x)) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal -1/36 binary64) #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 y (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 1/6 binary64)))) y) |
(*.f64 (*.f64 y (*.f64 y x)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y x))) |
(fma.f64 (*.f64 y y) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) x) |
(fma.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 #s(literal 1/120 binary64) x))) x) |
(*.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 y (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) y x) |
(fma.f64 (*.f64 (*.f64 y x) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) y x) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y x)) x) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/36 binary64)) (*.f64 #s(literal 1/6 binary64) x))) |
(*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) x) |
(*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 x y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 #s(literal 1/6 binary64) x)) x) |
(*.f64 x (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 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x) |
(*.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 #s(literal 1/6 binary64) x)) x) |
(*.f64 (*.f64 y y) (*.f64 x (*.f64 x (*.f64 x (-.f64 #s(literal -1/36 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))))) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 x (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(/.f64 (*.f64 x (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 x (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) x) x))) |
(*.f64 x (/.f64 (fma.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) (*.f64 y (*.f64 y y)) y) y)) |
(*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) y) (*.f64 y (*.f64 y y)) y) y)) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) y)) y) |
(*.f64 x (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(*.f64 x (/.f64 (fma.f64 (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 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))) y) x) y) |
(*.f64 x (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) y) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 x (*.f64 (fma.f64 (*.f64 y y) (*.f64 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))) y) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 (*.f64 y y) (*.f64 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))) y) x)) |
(/.f64 x (/.f64 y (fma.f64 (*.f64 y 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))) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) y)))) |
(*.f64 x (/.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (*.f64 y y) (*.f64 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))) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (fma.f64 (*.f64 y y) (*.f64 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))) y) x))) |
(*.f64 x (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(fma.f64 (*.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))) x) |
(sin.f64 x) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) |
| Outputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
5 calls:
| 66.0ms | (sin.f64 x) |
| 33.0ms | (/.f64 (sinh.f64 y) y) |
| 22.0ms | x |
| 19.0ms | y |
| 17.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 100.0% | 1 | (sin.f64 x) |
| 100.0% | 1 | (/.f64 (sinh.f64 y) y) |
Compiled 25 to 17 computations (32% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y y) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x)) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) x) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) |
(fma.f64 (*.f64 y y) (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/36 binary64))) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) x)) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal -1/36 binary64) #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 y (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 1/6 binary64)))) y) |
(*.f64 (*.f64 y (*.f64 y x)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y x))) |
(fma.f64 (*.f64 y y) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) x) |
(fma.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 #s(literal 1/120 binary64) x))) x) |
(*.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 y (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) y x) |
(fma.f64 (*.f64 (*.f64 y x) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) y x) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y x)) x) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/36 binary64)) (*.f64 #s(literal 1/6 binary64) x))) |
(*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) x) |
(*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 x y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 #s(literal 1/6 binary64) x)) x) |
(*.f64 x (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 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x) |
(*.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 #s(literal 1/6 binary64) x)) x) |
(*.f64 (*.f64 y y) (*.f64 x (*.f64 x (*.f64 x (-.f64 #s(literal -1/36 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))))) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 x (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(/.f64 (*.f64 x (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 x (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) x) x))) |
(*.f64 x (/.f64 (fma.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) (*.f64 y (*.f64 y y)) y) y)) |
(*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) y) (*.f64 y (*.f64 y y)) y) y)) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) y)) y) |
(*.f64 x (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(*.f64 x (/.f64 (fma.f64 (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 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))) y) x) y) |
(*.f64 x (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) y) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 x (*.f64 (fma.f64 (*.f64 y y) (*.f64 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))) y) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 (*.f64 y y) (*.f64 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))) y) x)) |
(/.f64 x (/.f64 y (fma.f64 (*.f64 y 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))) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) y)))) |
(*.f64 x (/.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (*.f64 y y) (*.f64 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))) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (fma.f64 (*.f64 y y) (*.f64 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))) y) x))) |
(*.f64 x (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(fma.f64 (*.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))) x) |
(sin.f64 x) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) (/.f64 (sinh.f64 y) y)) |
| Outputs |
|---|
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) (/.f64 (sinh.f64 y) y)) |
(*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
5 calls:
| 47.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 41.0ms | (/.f64 (sinh.f64 y) y) |
| 30.0ms | y |
| 18.0ms | (sin.f64 x) |
| 18.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.9% | 2 | x |
| 95.7% | 3 | y |
| 99.6% | 3 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 91.9% | 3 | (sin.f64 x) |
| 86.3% | 1 | (/.f64 (sinh.f64 y) y) |
Compiled 25 to 17 computations (32% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y y) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x)) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) x) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) |
(fma.f64 (*.f64 y y) (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/36 binary64))) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) x)) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal -1/36 binary64) #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 y (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 1/6 binary64)))) y) |
(*.f64 (*.f64 y (*.f64 y x)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y x))) |
(fma.f64 (*.f64 y y) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) x) |
(fma.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 #s(literal 1/120 binary64) x))) x) |
(*.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 y (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) y x) |
(fma.f64 (*.f64 (*.f64 y x) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) y x) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y x)) x) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/36 binary64)) (*.f64 #s(literal 1/6 binary64) x))) |
(*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) x) |
(*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 x y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 #s(literal 1/6 binary64) x)) x) |
(*.f64 x (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 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x) |
(*.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 #s(literal 1/6 binary64) x)) x) |
(*.f64 (*.f64 y y) (*.f64 x (*.f64 x (*.f64 x (-.f64 #s(literal -1/36 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))))) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 x (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(/.f64 (*.f64 x (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 x (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) x) x))) |
(*.f64 x (/.f64 (fma.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) (*.f64 y (*.f64 y y)) y) y)) |
(*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) y) (*.f64 y (*.f64 y y)) y) y)) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) y)) y) |
(*.f64 x (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(*.f64 x (/.f64 (fma.f64 (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 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))) y) x) y) |
(*.f64 x (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) y) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 x (*.f64 (fma.f64 (*.f64 y y) (*.f64 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))) y) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 (*.f64 y y) (*.f64 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))) y) x)) |
(/.f64 x (/.f64 y (fma.f64 (*.f64 y 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))) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) y)))) |
(*.f64 x (/.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (*.f64 y y) (*.f64 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))) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (fma.f64 (*.f64 y y) (*.f64 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))) y) x))) |
(*.f64 x (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(fma.f64 (*.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))) x) |
(sin.f64 x) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
1 calls:
| 16.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 3 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y y) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x)) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) x) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) |
(fma.f64 (*.f64 y y) (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/36 binary64))) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) x)) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal -1/36 binary64) #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 y (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 1/6 binary64)))) y) |
(*.f64 (*.f64 y (*.f64 y x)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y x))) |
(fma.f64 (*.f64 y y) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) x) |
(fma.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 #s(literal 1/120 binary64) x))) x) |
(*.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 y (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) y x) |
(fma.f64 (*.f64 (*.f64 y x) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) y x) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y x)) x) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/36 binary64)) (*.f64 #s(literal 1/6 binary64) x))) |
(*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) x) |
(*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 x y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 #s(literal 1/6 binary64) x)) x) |
(*.f64 x (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 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x) |
(*.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 #s(literal 1/6 binary64) x)) x) |
(*.f64 (*.f64 y y) (*.f64 x (*.f64 x (*.f64 x (-.f64 #s(literal -1/36 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))))) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 x (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(/.f64 (*.f64 x (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 x (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) x) x))) |
(*.f64 x (/.f64 (fma.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) (*.f64 y (*.f64 y y)) y) y)) |
(*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) y) (*.f64 y (*.f64 y y)) y) y)) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) y)) y) |
(*.f64 x (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(*.f64 x (/.f64 (fma.f64 (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 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))) y) x) y) |
(*.f64 x (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) y) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 x (*.f64 (fma.f64 (*.f64 y y) (*.f64 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))) y) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 (*.f64 y y) (*.f64 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))) y) x)) |
(/.f64 x (/.f64 y (fma.f64 (*.f64 y 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))) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) y)))) |
(*.f64 x (/.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (*.f64 y y) (*.f64 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))) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (fma.f64 (*.f64 y y) (*.f64 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))) y) x))) |
(*.f64 x (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(fma.f64 (*.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))) x) |
(sin.f64 x) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
(*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
1 calls:
| 87.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 3 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y y) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x)) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) x) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) |
(fma.f64 (*.f64 y y) (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/36 binary64))) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) x)) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal -1/36 binary64) #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 y (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 1/6 binary64)))) y) |
(*.f64 (*.f64 y (*.f64 y x)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y x))) |
(fma.f64 (*.f64 y y) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) x) |
(fma.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 #s(literal 1/120 binary64) x))) x) |
(*.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 y (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) y x) |
(fma.f64 (*.f64 (*.f64 y x) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) y x) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y x)) x) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/36 binary64)) (*.f64 #s(literal 1/6 binary64) x))) |
(*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) x) |
(*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 x y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 #s(literal 1/6 binary64) x)) x) |
(*.f64 x (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 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x) |
(*.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 #s(literal 1/6 binary64) x)) x) |
(*.f64 (*.f64 y y) (*.f64 x (*.f64 x (*.f64 x (-.f64 #s(literal -1/36 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))))) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 x (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(/.f64 (*.f64 x (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 x (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) x) x))) |
(*.f64 x (/.f64 (fma.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) (*.f64 y (*.f64 y y)) y) y)) |
(*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) y) (*.f64 y (*.f64 y y)) y) y)) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) y)) y) |
(*.f64 x (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(*.f64 x (/.f64 (fma.f64 (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 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))) y) x) y) |
(*.f64 x (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) y) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 x (*.f64 (fma.f64 (*.f64 y y) (*.f64 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))) y) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 (*.f64 y y) (*.f64 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))) y) x)) |
(/.f64 x (/.f64 y (fma.f64 (*.f64 y 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))) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) y)))) |
(*.f64 x (/.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (*.f64 y y) (*.f64 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))) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (fma.f64 (*.f64 y y) (*.f64 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))) y) x))) |
(*.f64 x (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(fma.f64 (*.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))) x) |
(sin.f64 x) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
| Outputs |
|---|
(*.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) 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))) |
(sin.f64 x) |
(*.f64 x (/.f64 (sinh.f64 y) y)) |
1 calls:
| 16.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 3 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y y) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x)) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) x) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) |
(fma.f64 (*.f64 y y) (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/36 binary64))) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) x)) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal -1/36 binary64) #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 y (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 1/6 binary64)))) y) |
(*.f64 (*.f64 y (*.f64 y x)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y x))) |
(fma.f64 (*.f64 y y) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) x) |
(fma.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 #s(literal 1/120 binary64) x))) x) |
(*.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 y (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) y x) |
(fma.f64 (*.f64 (*.f64 y x) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) y x) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y x)) x) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/36 binary64)) (*.f64 #s(literal 1/6 binary64) x))) |
(*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) x) |
(*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 x y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 #s(literal 1/6 binary64) x)) x) |
(*.f64 x (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 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x) |
(*.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 #s(literal 1/6 binary64) x)) x) |
(*.f64 (*.f64 y y) (*.f64 x (*.f64 x (*.f64 x (-.f64 #s(literal -1/36 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))))) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 x (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(/.f64 (*.f64 x (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 x (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) x) x))) |
(*.f64 x (/.f64 (fma.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) (*.f64 y (*.f64 y y)) y) y)) |
(*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) y) (*.f64 y (*.f64 y y)) y) y)) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) y)) y) |
(*.f64 x (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(*.f64 x (/.f64 (fma.f64 (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 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))) y) x) y) |
(*.f64 x (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) y) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 x (*.f64 (fma.f64 (*.f64 y y) (*.f64 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))) y) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 (*.f64 y y) (*.f64 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))) y) x)) |
(/.f64 x (/.f64 y (fma.f64 (*.f64 y 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))) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) y)))) |
(*.f64 x (/.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (*.f64 y y) (*.f64 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))) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (fma.f64 (*.f64 y y) (*.f64 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))) y) x))) |
(*.f64 x (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(fma.f64 (*.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))) x) |
(sin.f64 x) |
| Outputs |
|---|
(*.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) 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))) |
(sin.f64 x) |
(*.f64 x (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))) |
2 calls:
| 91.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 19.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.6% | 4 | y |
| 95.7% | 3 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y y) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x)) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) x) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) |
(fma.f64 (*.f64 y y) (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/36 binary64))) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) x)) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal -1/36 binary64) #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 y (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 1/6 binary64)))) y) |
(*.f64 (*.f64 y (*.f64 y x)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y x))) |
(fma.f64 (*.f64 y y) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) x) |
(fma.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 #s(literal 1/120 binary64) x))) x) |
(*.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 y (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) y x) |
(fma.f64 (*.f64 (*.f64 y x) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) y x) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y x)) x) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/36 binary64)) (*.f64 #s(literal 1/6 binary64) x))) |
(*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) x) |
(*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 x y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 #s(literal 1/6 binary64) x)) x) |
(*.f64 x (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 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x) |
(*.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 #s(literal 1/6 binary64) x)) x) |
(*.f64 (*.f64 y y) (*.f64 x (*.f64 x (*.f64 x (-.f64 #s(literal -1/36 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))))) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 x (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(/.f64 (*.f64 x (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 x (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) x) x))) |
(*.f64 x (/.f64 (fma.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) (*.f64 y (*.f64 y y)) y) y)) |
(*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) y) (*.f64 y (*.f64 y y)) y) y)) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) y)) y) |
(*.f64 x (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(*.f64 x (/.f64 (fma.f64 (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 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))) y) x) y) |
(*.f64 x (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) y) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 x (*.f64 (fma.f64 (*.f64 y y) (*.f64 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))) y) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 (*.f64 y y) (*.f64 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))) y) x)) |
(/.f64 x (/.f64 y (fma.f64 (*.f64 y 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))) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) y)))) |
(*.f64 x (/.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (*.f64 y y) (*.f64 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))) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (fma.f64 (*.f64 y y) (*.f64 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))) y) x))) |
(*.f64 x (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) y)) |
(fma.f64 (*.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal 1/720 binary64)))) x) |
| Outputs |
|---|
(*.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 x (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))) |
5 calls:
| 36.0ms | x |
| 18.0ms | (sin.f64 x) |
| 17.0ms | y |
| 16.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 15.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.8% | 3 | y |
| 56.1% | 1 | (/.f64 (sinh.f64 y) y) |
| 70.2% | 2 | (sin.f64 x) |
| 61.5% | 2 | x |
| 70.3% | 2 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 25 to 17 computations (32% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y y) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x)) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) x) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) |
(fma.f64 (*.f64 y y) (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/36 binary64))) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) x)) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal -1/36 binary64) #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 y (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 1/6 binary64)))) y) |
(*.f64 (*.f64 y (*.f64 y x)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y x))) |
(fma.f64 (*.f64 y y) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) x) |
(fma.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 #s(literal 1/120 binary64) x))) x) |
(*.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 y (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) y x) |
(fma.f64 (*.f64 (*.f64 y x) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) y x) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y x)) x) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/36 binary64)) (*.f64 #s(literal 1/6 binary64) x))) |
(*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) x) |
(*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 x y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 #s(literal 1/6 binary64) x)) x) |
(*.f64 x (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 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x) |
| Outputs |
|---|
(*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 x (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))) |
2 calls:
| 37.0ms | (sin.f64 x) |
| 32.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.5% | 2 | (sin.f64 x) |
| 69.6% | 2 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 13 to 9 computations (30.8% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y y) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x)) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) x) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) |
(fma.f64 (*.f64 y y) (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/36 binary64))) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) x)) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal -1/36 binary64) #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 y (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 1/6 binary64)))) y) |
(*.f64 (*.f64 y (*.f64 y x)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y x))) |
(fma.f64 (*.f64 y y) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) x) |
(fma.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 #s(literal 1/120 binary64) x))) x) |
(*.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 y (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) y x) |
(fma.f64 (*.f64 (*.f64 y x) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) y x) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y x)) x) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/36 binary64)) (*.f64 #s(literal 1/6 binary64) x))) |
(*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) x) |
(*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 x y) (*.f64 y #s(literal 1/120 binary64)) (*.f64 #s(literal 1/6 binary64) x)) x) |
| Outputs |
|---|
(*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.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))) |
2 calls:
| 12.0ms | (sin.f64 x) |
| 9.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.4% | 2 | (sin.f64 x) |
| 65.5% | 2 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 13 to 9 computations (30.8% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y y) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x)) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) x) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) |
(fma.f64 (*.f64 y y) (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/36 binary64))) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) x)) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal -1/36 binary64) #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 y (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 1/6 binary64)))) y) |
(*.f64 (*.f64 y (*.f64 y x)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y x))) |
(fma.f64 (*.f64 y y) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) x) |
(fma.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 #s(literal 1/120 binary64) x))) x) |
(*.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) x) |
(fma.f64 (*.f64 y (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) y x) |
(fma.f64 (*.f64 (*.f64 y x) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) y x) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y x)) x) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/36 binary64)) (*.f64 #s(literal 1/6 binary64) x))) |
| Outputs |
|---|
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal -1/36 binary64) #s(literal -1/6 binary64)))) |
(*.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))) |
2 calls:
| 11.0ms | (sin.f64 x) |
| 8.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.4% | 2 | (sin.f64 x) |
| 65.4% | 2 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 13 to 9 computations (30.8% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y y) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x)) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) x) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) |
(fma.f64 (*.f64 y y) (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/36 binary64))) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) x)) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal -1/36 binary64) #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 y (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 1/6 binary64)))) y) |
(*.f64 (*.f64 y (*.f64 y x)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y x))) |
(fma.f64 (*.f64 y y) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) x) |
(fma.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 #s(literal 1/120 binary64) x))) x) |
| Outputs |
|---|
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal -1/36 binary64) #s(literal -1/6 binary64)))) |
(fma.f64 (*.f64 y y) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) x) |
2 calls:
| 12.0ms | (sin.f64 x) |
| 7.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.2% | 2 | (sin.f64 x) |
| 63.2% | 2 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 13 to 9 computations (30.8% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y y) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x)) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) x) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) |
(fma.f64 (*.f64 y y) (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/36 binary64))) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) x)) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal -1/36 binary64) #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 y (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 1/6 binary64)))) y) |
(*.f64 (*.f64 y (*.f64 y x)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y x))) |
| Outputs |
|---|
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal -1/36 binary64) #s(literal -1/6 binary64)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x)) x) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y (*.f64 y x))) |
2 calls:
| 10.0ms | (sin.f64 x) |
| 6.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.1% | 3 | (sin.f64 x) |
| 63.5% | 3 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 13 to 9 computations (30.8% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y y) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x)) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) x) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) |
(fma.f64 (*.f64 y y) (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/36 binary64))) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) x)) |
| Outputs |
|---|
(*.f64 (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/36 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x)) x) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y (*.f64 y x))) |
1 calls:
| 5.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.3% | 3 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y y) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x)) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) x) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) |
(fma.f64 (*.f64 y y) (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/36 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/36 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) |
3 calls:
| 6.0ms | x |
| 5.0ms | (sin.f64 x) |
| 4.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.3% | 2 | (sin.f64 x) |
| 53.1% | 2 | x |
| 60.3% | 2 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y y) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x)) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) x) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x x) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) x) |
(fma.f64 (*.f64 y y) (*.f64 x #s(literal 1/6 binary64)) x) |
| Outputs |
|---|
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) |
2 calls:
| 5.0ms | (sin.f64 x) |
| 4.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.9% | 2 | (sin.f64 x) |
| 58.9% | 2 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 13 to 9 computations (30.8% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y y) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x)) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) x) |
| Outputs |
|---|
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) |
2 calls:
| 3.0ms | (sin.f64 x) |
| 3.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.9% | 2 | (sin.f64 x) |
| 58.9% | 2 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 13 to 9 computations (30.8% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y y) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x)) x) |
| Outputs |
|---|
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x)) x) |
(*.f64 (*.f64 y y) (*.f64 x #s(literal 1/6 binary64))) |
4 calls:
| 7.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 3.0ms | (sin.f64 x) |
| 3.0ms | y |
| 2.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.0% | 2 | (/.f64 (sinh.f64 y) y) |
| 50.2% | 3 | y |
| 54.5% | 2 | (sin.f64 x) |
| 58.9% | 3 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 22 to 15 computations (31.8% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y y) (*.f64 x #s(literal 1/6 binary64))) |
| Outputs |
|---|
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
x |
(*.f64 (*.f64 y y) (*.f64 x #s(literal 1/6 binary64))) |
1 calls:
| 2.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.6% | 3 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
| Outputs |
|---|
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
x |
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x))) |
3 calls:
| 3.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 2.0ms | (sin.f64 x) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.8% | 3 | x |
| 48.6% | 3 | (sin.f64 x) |
| 54.2% | 3 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
| Outputs |
|---|
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
x |
5 calls:
| 2.0ms | x |
| 2.0ms | (sin.f64 x) |
| 1.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 1.0ms | y |
| 1.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.9% | 2 | x |
| 38.8% | 2 | (/.f64 (sinh.f64 y) y) |
| 40.0% | 2 | (sin.f64 x) |
| 38.8% | 2 | y |
| 40.0% | 2 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 25 to 17 computations (32% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
x |
| Outputs |
|---|
x |
5 calls:
| 1.0ms | (sin.f64 x) |
| 1.0ms | y |
| 1.0ms | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
| 1.0ms | x |
| 1.0ms | (/.f64 (sinh.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 28.1% | 1 | (/.f64 (sinh.f64 y) y) |
| 28.1% | 1 | y |
| 28.1% | 1 | x |
| 28.1% | 1 | (sin.f64 x) |
| 28.1% | 1 | (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
Compiled 25 to 17 computations (32% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9849832103875994 | +inf |
| 0.0ms | -inf | -0.9998671732049986 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9849832103875994 | +inf |
| 0.0ms | -inf | -0.9998671732049986 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9849832103875994 | +inf |
| 0.0ms | -inf | -0.9998671732049986 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9849832103875994 | +inf |
| 0.0ms | -inf | -0.9998671732049986 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9849832103875994 | +inf |
| 0.0ms | -inf | -0.9998671732049986 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.179751836580132e-6 | 0.021795017952236637 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.179751836580132e-6 | 0.021795017952236637 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.179751836580132e-6 | 0.021795017952236637 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.1299614350770479 | 1.3708807075257766e-307 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.1299614350770479 | 1.3708807075257766e-307 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9728750068391544 | 0.9849832103875994 |
| 0.0ms | -0.1299614350770479 | 1.3708807075257766e-307 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9728750068391544 | 0.9849832103875994 |
| 1.0ms | -0.1299614350770479 | 1.3708807075257766e-307 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.1299614350770479 | 1.3708807075257766e-307 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.1299614350770479 | 1.3708807075257766e-307 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.1299614350770479 | 1.3708807075257766e-307 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9728750068391544 | 0.9849832103875994 |
| 0.0ms | -0.1299614350770479 | 1.3708807075257766e-307 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9728750068391544 | 0.9849832103875994 |
| 0.0ms | -0.1299614350770479 | 1.3708807075257766e-307 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9728750068391544 | 0.9849832103875994 |
| 0.0ms | -0.1299614350770479 | 1.3708807075257766e-307 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.1299614350770479 | 1.3708807075257766e-307 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | egg-herbie |
| 60× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 793 |
| 1 | 125 | 793 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) (/.f64 (sinh.f64 y) y)) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (*.f64 x (/.f64 (sinh.f64 y) y)))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) 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))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (*.f64 x (/.f64 (sinh.f64 y) y)))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) 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))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (*.f64 x (/.f64 (sinh.f64 y) y)))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) 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))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) (sin.f64 x) (*.f64 x (/.f64 (sinh.f64 y) y)))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) 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))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) (sin.f64 x) (*.f64 x (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))))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (*.f64 x (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)))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 x (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)))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.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)))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal -1/36 binary64) #s(literal -1/6 binary64)))) (*.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)))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal -1/36 binary64) #s(literal -1/6 binary64)))) (fma.f64 (*.f64 y y) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) x)) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal -1/36 binary64) #s(literal -1/6 binary64)))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2206763817411543/2251799813685248 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x)) x) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y (*.f64 y x))))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/36 binary64))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2206763817411543/2251799813685248 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x)) x) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y (*.f64 y x))))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x)) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x)) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x)) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2206763817411543/2251799813685248 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x)) x) (*.f64 (*.f64 y y) (*.f64 x #s(literal 1/6 binary64))))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2206763817411543/2251799813685248 binary64)) x (*.f64 (*.f64 y y) (*.f64 x #s(literal 1/6 binary64))))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2206763817411543/2251799813685248 binary64)) x (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x))))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) x) |
x |
| Outputs |
|---|
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) (/.f64 (sinh.f64 y) y)) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (*.f64 x (/.f64 (sinh.f64 y) y)))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (/.f64 (sinh.f64 y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (*.f64 x (/.f64 (sinh.f64 y) y)))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) 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))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (*.f64 x (/.f64 (sinh.f64 y) y)))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (*.f64 x (/.f64 (sinh.f64 y) y)))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) 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))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (*.f64 x (/.f64 (sinh.f64 y) y)))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (*.f64 x (/.f64 (sinh.f64 y) y)))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) 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))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) (sin.f64 x) (*.f64 x (/.f64 (sinh.f64 y) y)))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) (sin.f64 x) (*.f64 x (/.f64 (sinh.f64 y) y)))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) 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))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) (sin.f64 x) (*.f64 x (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))))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64)) (sin.f64 x) (*.f64 x (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))))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (*.f64 x (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)))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)) (*.f64 x (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)))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 x (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)))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (*.f64 x (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)))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.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)))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 x (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (*.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)))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal -1/36 binary64) #s(literal -1/6 binary64)))) (*.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)))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal -1/36 binary64) #s(literal -1/6 binary64)))) (fma.f64 (*.f64 y y) (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) x)) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal -1/36 binary64) #s(literal -1/6 binary64)))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2206763817411543/2251799813685248 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x)) x) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y (*.f64 y x))))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) #s(literal -1/36 binary64) #s(literal -1/6 binary64)))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2206763817411543/2251799813685248 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 x y)) x) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y (*.f64 x y))))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/36 binary64))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2206763817411543/2251799813685248 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x)) x) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y (*.f64 y x))))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/36 binary64))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2206763817411543/2251799813685248 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 x y)) x) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y (*.f64 x y))))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x)) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 y y)) x)) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x)) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 y y)) x)) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x)) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 y y)) x)) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2206763817411543/2251799813685248 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x)) x) (*.f64 (*.f64 y y) (*.f64 x #s(literal 1/6 binary64))))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2206763817411543/2251799813685248 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 x y)) x) (*.f64 (*.f64 y y) (*.f64 x #s(literal 1/6 binary64))))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2206763817411543/2251799813685248 binary64)) x (*.f64 (*.f64 y y) (*.f64 x #s(literal 1/6 binary64))))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2206763817411543/2251799813685248 binary64)) x (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y x))))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) (if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2206763817411543/2251799813685248 binary64)) x (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 x y))))) |
(if (<=.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) x) |
x |
| 16 212× | accelerator-lowering-fma.f32 |
| 16 212× | accelerator-lowering-fma.f64 |
| 15 526× | accelerator-lowering-fma.f32 |
| 15 526× | accelerator-lowering-fma.f64 |
| 12 428× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 700 |
| 1 | 288 | 693 |
| 2 | 897 | 643 |
| 3 | 3139 | 635 |
| 4 | 7365 | 635 |
| 0 | 8523 | 605 |
| 0 | 196 | 2300 |
| 1 | 674 | 2170 |
| 2 | 2282 | 2077 |
| 3 | 5868 | 2053 |
| 0 | 8113 | 1903 |
| 0 | 31 | 183 |
| 1 | 195 | 179 |
| 2 | 1650 | 179 |
| 0 | 8197 | 156 |
| 0 | 212 | 3188 |
| 1 | 681 | 3152 |
| 2 | 1909 | 3063 |
| 3 | 4176 | 3052 |
| 0 | 8128 | 2866 |
| 0 | 173 | 3072 |
| 1 | 617 | 2925 |
| 2 | 2023 | 2702 |
| 3 | 5466 | 2672 |
| 4 | 7718 | 2672 |
| 0 | 8170 | 2426 |
| 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 1 776 to 750 computations (57.8% saved)
(negabs x)
(abs y)
Compiled 1 680 to 244 computations (85.5% saved)
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