
Time bar (total: 12.7s)
| 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 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 98.4% | 98.3% | 1.6% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 1000.0ms | 8 256× | 0 | valid |
ival-sin: 297.0ms (49.4% of total)ival-mult: 176.0ms (29.3% of total)ival-sinh: 65.0ms (10.8% of total)ival-div: 55.0ms (9.2% of total)ival-true: 5.0ms (0.8% of total)ival-assert: 3.0ms (0.5% of total)| 1× | egg-herbie |
| 2 532× | accelerator-lowering-fma.f32 |
| 2 532× | accelerator-lowering-fma.f64 |
| 1 668× | *-lowering-*.f32 |
| 1 668× | *-lowering-*.f64 |
| 934× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 41 |
| 1 | 60 | 41 |
| 2 | 192 | 37 |
| 3 | 708 | 37 |
| 4 | 2231 | 37 |
| 5 | 5292 | 37 |
| 6 | 7334 | 37 |
| 0 | 6 | 7 |
| 1 | 15 | 7 |
| 2 | 35 | 7 |
| 3 | 74 | 7 |
| 4 | 160 | 7 |
| 5 | 340 | 7 |
| 6 | 861 | 7 |
| 7 | 1762 | 7 |
| 8 | 3031 | 7 |
| 9 | 4023 | 7 |
| 10 | 4517 | 7 |
| 11 | 4596 | 7 |
| 12 | 4596 | 7 |
| 13 | 4596 | 7 |
| 14 | 5016 | 7 |
| 15 | 5200 | 7 |
| 16 | 5200 | 7 |
| 17 | 5200 | 7 |
| 18 | 5200 | 7 |
| 19 | 5238 | 7 |
| 20 | 5304 | 7 |
| 21 | 5304 | 7 |
| 22 | 5304 | 7 |
| 0 | 5304 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
(/ (* (sin x) (sinh y)) x) |
| Outputs |
|---|
(/ (* (sin x) (sinh y)) x) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(abs x)
(negabs y)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 40 | 0 | - | 3 | (5.710814660608053e-293 1.180208338290647e-19) | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 0 | 0 | - | 0 | - | (sinh.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 (sin.f64 x) (sinh.f64 y)) |
| 0 | 0 | - | 0 | - | (sin.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) | u/n | 37 | 0 |
| ↳ | (*.f64 (sin.f64 x) (sinh.f64 y)) | underflow | 37 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 37 | 3 |
| - | 0 | 216 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 37 | 0 | 3 |
| - | 0 | 0 | 216 |
| number | freq |
|---|---|
| 0 | 219 |
| 1 | 37 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 103.0ms | 512× | 0 | valid |
Compiled 58 to 28 computations (51.7% saved)
ival-sin: 11.0ms (44.3% of total)ival-mult: 7.0ms (28.2% of total)ival-div: 3.0ms (12.1% of total)ival-sinh: 3.0ms (12.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 86.2% | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
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 | (sin.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sin.f64 x) (sinh.f64 y)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 2 532× | accelerator-lowering-fma.f32 |
| 2 532× | accelerator-lowering-fma.f64 |
| 1 668× | *-lowering-*.f32 |
| 1 668× | *-lowering-*.f64 |
| 934× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 1 | 15 | 18 |
| 2 | 35 | 18 |
| 3 | 74 | 18 |
| 4 | 160 | 18 |
| 5 | 340 | 18 |
| 6 | 861 | 18 |
| 7 | 1762 | 18 |
| 8 | 3031 | 18 |
| 9 | 4023 | 18 |
| 10 | 4517 | 18 |
| 11 | 4596 | 18 |
| 12 | 4596 | 18 |
| 13 | 4596 | 18 |
| 14 | 5016 | 18 |
| 15 | 5200 | 18 |
| 16 | 5200 | 18 |
| 17 | 5200 | 18 |
| 18 | 5200 | 18 |
| 19 | 5238 | 18 |
| 20 | 5304 | 18 |
| 21 | 5304 | 18 |
| 22 | 5304 | 18 |
| 0 | 5304 | 18 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (* (sin x) (sinh y)) x) |
(* (sin x) (sinh y)) |
(sin x) |
x |
(sinh y) |
y |
| Outputs |
|---|
(/ (* (sin x) (sinh y)) x) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(* (sin x) (sinh y)) |
(*.f64 (sin.f64 x) (sinh.f64 y)) |
(sin x) |
(sin.f64 x) |
x |
(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 | 99.9% | (*.f64 (sin.f64 x) (sinh.f64 y)) |
| ✓ | accuracy | 86.2% | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 43.0ms | 256× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-mult: 28.0ms (76.3% of total)ival-sin: 6.0ms (16.4% of total)ival-div: 2.0ms (5.5% of total)ival-sinh: 1.0ms (2.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (* (sin x) (sinh y)) x)> |
#<alt (* (sin x) (sinh y))> |
#<alt (sin x)> |
#<alt (sinh y)> |
| Outputs |
|---|
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))> |
#<alt (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))> |
#<alt (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))> |
#<alt (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))> |
#<alt (/ (* y (sin x)) x)> |
#<alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))> |
#<alt (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))> |
#<alt (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))> |
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))> |
#<alt (* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))> |
#<alt (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))))> |
#<alt (* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))))> |
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))> |
#<alt (* y (sin x))> |
#<alt (* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))> |
#<alt (* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))> |
#<alt (* y (+ (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)))))> |
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* (sin x) (- (exp y) (/ 1 (exp 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 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))))> |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | -inf | (/ (* (sin x) (sinh y)) x) |
| 2.0ms | y | @ | inf | (/ (* (sin x) (sinh y)) x) |
| 2.0ms | x | @ | inf | (/ (* (sin x) (sinh y)) x) |
| 1.0ms | y | @ | 0 | (/ (* (sin x) (sinh y)) x) |
| 1.0ms | x | @ | -inf | (/ (* (sin x) (sinh y)) x) |
| 1× | batch-egg-rewrite |
| 4 860× | *-lowering-*.f32 |
| 4 860× | *-lowering-*.f64 |
| 4 172× | /-lowering-/.f32 |
| 4 172× | /-lowering-/.f64 |
| 1 474× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 1 | 23 | 16 |
| 2 | 113 | 16 |
| 3 | 835 | 16 |
| 0 | 8221 | 16 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (sin x) (sinh y)) x) |
(* (sin x) (sinh y)) |
(sin x) |
(sinh y) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)) (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) |
(+.f64 (*.f64 (/.f64 (sin.f64 x) x) (*.f64 (exp.f64 y) #s(literal 1/2 binary64))) (*.f64 (/.f64 (sin.f64 x) x) (*.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) x)) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) (/.f64 (sin.f64 x) x))) |
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x))) |
(-.f64 (/.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (/.f64 x (sin.f64 x))) (/.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (/.f64 x (sin.f64 x)))) |
(fma.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (/.f64 (sin.f64 x) x) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)) (/.f64 (sin.f64 x) x))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64) (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) |
(fma.f64 (/.f64 (sin.f64 x) x) (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (*.f64 (exp.f64 (neg.f64 y)) #s(literal -1/2 binary64)))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 x (sin.f64 x)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal -2 binary64))))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(/.f64 (/.f64 (sinh.f64 y) x) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (*.f64 (/.f64 x (sin.f64 x)) #s(literal -2 binary64))) |
(/.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) (*.f64 (/.f64 x (sin.f64 x)) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y)) (*.f64 (/.f64 x (sin.f64 x)) (*.f64 #s(literal 4 binary64) (cosh.f64 y)))) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (neg.f64 x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 #s(literal 1 binary64) (sinh.f64 y))) |
(/.f64 (fma.f64 (exp.f64 y) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 y)))) (*.f64 (/.f64 x (sin.f64 x)) #s(literal 4 binary64))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal -2 binary64))) (*.f64 x #s(literal -2 binary64))) |
(/.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) #s(literal 3 binary64))) (*.f64 (neg.f64 x) (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 y #s(literal -3 binary64))) #s(literal 1/8 binary64))) (*.f64 (/.f64 x (sin.f64 x)) (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 (neg.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) #s(literal 2 binary64))) (*.f64 (neg.f64 x) (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))) (sinh.f64 y)) (*.f64 (/.f64 x (sin.f64 x)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 y))))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 y)) (sinh.f64 y))) (*.f64 x (*.f64 #s(literal 4 binary64) (cosh.f64 y)))) |
(/.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal -2 binary64)) (/.f64 (sin.f64 x) x)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) (*.f64 x (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (*.f64 (/.f64 x (sin.f64 x)) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y)))))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) (*.f64 (/.f64 x (sin.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (/.f64 #s(literal -1 binary64) (sinh.f64 y))) |
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(*.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 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y)))) #s(literal 2 binary64)) (/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y)))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (*.f64 (+.f64 y y) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 3 binary64)))) (-.f64 (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) y (+.f64 y y))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))) #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 #s(literal 2 binary64) y (+.f64 y y))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y))) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y)))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) (*.f64 (*.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 (neg.f64 y) y)))) |
| 1× | egg-herbie |
| 15 192× | accelerator-lowering-fma.f32 |
| 15 192× | accelerator-lowering-fma.f64 |
| 6 376× | +-lowering-+.f64 |
| 6 376× | +-lowering-+.f32 |
| 3 958× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 113 | 944 |
| 1 | 373 | 889 |
| 2 | 1229 | 849 |
| 3 | 3047 | 828 |
| 0 | 8158 | 792 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/ (* y (sin x)) x) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* y (sin x)) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))) |
(* y (+ (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))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp 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) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
| Outputs |
|---|
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) |
(fma.f64 (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x))) |
(/ (* y (sin x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(*.f64 y (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x))) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) x)) |
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))) |
(*.f64 x (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))) |
(* x (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) #s(literal -1/12 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) |
(* y (sin x)) |
(*.f64 y (sin.f64 x)) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(*.f64 y (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))) |
(*.f64 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)))) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/6 (sin x)) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))))))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 (sin.f64 x) (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))) (sin.f64 x))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 x 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 (*.f64 x x) (fma.f64 x (*.f64 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) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(fma.f64 (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) |
(* 1/2 (- (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 9 378 to 1 544 computations (83.5% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 561 | 6 | 567 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 562 | 6 | 568 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 52.8% | (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (sinh.f64 y)) x) |
| ▶ | 39.0% | (/.f64 (*.f64 (sin.f64 x) y) x) |
| ▶ | 51.3% | (/.f64 (*.f64 x (sinh.f64 y)) x) |
| 99.2% | (/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) | |
| ▶ | 99.9% | (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
| ▶ | 52.7% | (*.f64 y (/.f64 (sin.f64 x) x)) |
Compiled 114 to 72 computations (36.8% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (sinh.f64 y)) |
| ✓ | cost-diff | 1024 | (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (sinh.f64 y)) x) |
| ✓ | cost-diff | 0 | (sin.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sin.f64 x) y) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (sin.f64 x) y) x) |
| ✓ | cost-diff | 0 | (sinh.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 x (sinh.f64 y)) |
| ✓ | cost-diff | 1024 | (/.f64 (*.f64 x (sinh.f64 y)) x) |
| ✓ | cost-diff | 0 | (sin.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 x) x) |
| ✓ | cost-diff | 0 | (*.f64 y (/.f64 (sin.f64 x) x)) |
| ✓ | cost-diff | 0 | (sin.f64 x) |
| ✓ | cost-diff | 0 | (sinh.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 (sinh.f64 y) x) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
| 11 472× | accelerator-lowering-fma.f32 |
| 11 472× | accelerator-lowering-fma.f64 |
| 4 930× | *-lowering-*.f32 |
| 4 930× | *-lowering-*.f64 |
| 2 552× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 103 |
| 1 | 44 | 97 |
| 2 | 96 | 97 |
| 3 | 208 | 95 |
| 4 | 638 | 95 |
| 5 | 2730 | 95 |
| 6 | 5108 | 95 |
| 0 | 8241 | 92 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (sinh y) x) (sin x)) |
(/ (sinh y) x) |
(sinh y) |
y |
x |
(sin x) |
(* y (/ (sin x) x)) |
y |
(/ (sin x) x) |
(sin x) |
x |
(/ (* x (sinh y)) x) |
(* x (sinh y)) |
x |
(sinh y) |
y |
(/ (* (sin x) y) x) |
(* (sin x) y) |
(sin x) |
x |
y |
(/ (* (+ (* x (* (* x x) -1/6)) x) (sinh y)) x) |
(* (+ (* x (* (* x x) -1/6)) x) (sinh y)) |
(+ (* x (* (* x x) -1/6)) x) |
x |
(* (* x x) -1/6) |
(* x x) |
-1/6 |
(sinh y) |
y |
| Outputs |
|---|
(* (/ (sinh y) x) (sin x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(/ (sinh y) x) |
(/.f64 (sinh.f64 y) x) |
(sinh y) |
(sinh.f64 y) |
y |
x |
(sin x) |
(sin.f64 x) |
(* y (/ (sin x) x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
y |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(sin x) |
(sin.f64 x) |
x |
(/ (* x (sinh y)) x) |
(sinh.f64 y) |
(* x (sinh y)) |
(*.f64 (sinh.f64 y) x) |
x |
(sinh y) |
(sinh.f64 y) |
y |
(/ (* (sin x) y) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(* (sin x) y) |
(*.f64 y (sin.f64 x)) |
(sin x) |
(sin.f64 x) |
x |
y |
(/ (* (+ (* x (* (* x x) -1/6)) x) (sinh y)) x) |
(*.f64 (sinh.f64 y) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(* (+ (* x (* (* x x) -1/6)) x) (sinh y)) |
(*.f64 (sinh.f64 y) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) |
(+ (* x (* (* x x) -1/6)) x) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) |
x |
(* (* x x) -1/6) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(* x x) |
(*.f64 x x) |
-1/6 |
#s(literal -1/6 binary64) |
(sinh y) |
(sinh.f64 y) |
y |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
| ✓ | accuracy | 93.7% | (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (sinh.f64 y)) |
| ✓ | accuracy | 82.2% | (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (sinh.f64 y)) x) |
| ✓ | accuracy | 100.0% | (sin.f64 x) |
| ✓ | accuracy | 99.8% | (*.f64 (sin.f64 x) y) |
| ✓ | accuracy | 86.1% | (/.f64 (*.f64 (sin.f64 x) y) x) |
| ✓ | accuracy | 100.0% | (sinh.f64 y) |
| ✓ | accuracy | 100.0% | (*.f64 x (sinh.f64 y)) |
| ✓ | accuracy | 86.2% | (/.f64 (*.f64 x (sinh.f64 y)) x) |
| ✓ | accuracy | 100.0% | (sin.f64 x) |
| ✓ | accuracy | 99.9% | (*.f64 y (/.f64 (sin.f64 x) x)) |
| ✓ | accuracy | 99.8% | (/.f64 (sin.f64 x) x) |
| ✓ | accuracy | 100.0% | (/.f64 (sinh.f64 y) x) |
| ✓ | accuracy | 100.0% | (sinh.f64 y) |
| ✓ | accuracy | 100.0% | (sin.f64 x) |
| ✓ | accuracy | 99.9% | (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
| 49.0ms | 256× | 0 | valid |
Compiled 106 to 21 computations (80.2% saved)
ival-mult: 11.0ms (31.2% of total)ival-sin: 9.0ms (25.5% of total)ival-div: 8.0ms (22.7% of total)const: 4.0ms (11.3% of total)ival-sinh: 2.0ms (5.7% of total)ival-add: 1.0ms (2.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (/ (sinh y) x) (sin x))> |
#<alt (/ (sinh y) x)> |
#<alt (sinh y)> |
#<alt (sin x)> |
#<alt (* y (/ (sin x) x))> |
#<alt (/ (sin x) x)> |
#<alt (/ (* x (sinh y)) x)> |
#<alt (* x (sinh y))> |
#<alt (/ (* (sin x) y) x)> |
#<alt (* (sin x) y)> |
#<alt (/ (* (+ (* x (* (* x x) -1/6)) x) (sinh y)) x)> |
#<alt (* (+ (* x (* (* x x) -1/6)) x) (sinh y))> |
#<alt (+ (* x (* (* x x) -1/6)) x)> |
#<alt (* (* x x) -1/6)> |
| Outputs |
|---|
#<alt (/ (* y (sin x)) x)> |
#<alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))> |
#<alt (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))> |
#<alt (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x)))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))> |
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))> |
#<alt (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))> |
#<alt (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))))))> |
#<alt (+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))))))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x))> |
#<alt (/ y x)> |
#<alt (* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))> |
#<alt (* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))> |
#<alt (* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))> |
#<alt (* 1/2 (/ (- (exp y) (/ 1 (exp y))) x))> |
#<alt y> |
#<alt (* y (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))> |
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))> |
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))> |
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))> |
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))> |
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))> |
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))> |
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))> |
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))> |
#<alt 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 (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt y> |
#<alt (+ y (* -1/6 (* (pow x 2) y)))> |
#<alt (+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))> |
#<alt (+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))> |
#<alt (/ (sin x) x)> |
#<alt (/ (sin x) x)> |
#<alt (/ (sin x) x)> |
#<alt (/ (sin x) x)> |
#<alt (/ (sin x) x)> |
#<alt (/ (sin x) x)> |
#<alt (/ (sin x) x)> |
#<alt (/ (sin x) x)> |
#<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 (- (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 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)))))> |
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))> |
#<alt (* x y)> |
#<alt (* y (+ x (* 1/6 (* x (pow y 2)))))> |
#<alt (* y (+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x)))))> |
#<alt (* y (+ 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)))))> |
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))> |
#<alt y> |
#<alt (+ y (* -1/6 (* (pow x 2) y)))> |
#<alt (+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))> |
#<alt (+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (* x y)> |
#<alt (* x (+ y (* -1/6 (* (pow x 2) y))))> |
#<alt (* x (+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y))))))> |
#<alt (* x (+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y)))))))> |
#<alt (* y (sin x))> |
#<alt (* y (sin x))> |
#<alt (* y (sin x))> |
#<alt (* y (sin x))> |
#<alt (* y (sin x))> |
#<alt (* y (sin x))> |
#<alt (* y (sin x))> |
#<alt (* y (sin x))> |
#<alt (* y (sin x))> |
#<alt (* y (sin x))> |
#<alt (* y (sin x))> |
#<alt (* y (sin x))> |
#<alt (* y (sin x))> |
#<alt (* y (sin x))> |
#<alt (* y (sin x))> |
#<alt (* y (sin x))> |
#<alt (* y (sin x))> |
#<alt (* y (sin x))> |
#<alt (* y (sin x))> |
#<alt (* y (sin x))> |
#<alt (* 1/2 (- (exp y) (/ 1 (exp y))))> |
#<alt (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))> |
#<alt (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))> |
#<alt (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))> |
#<alt (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))> |
#<alt (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2)))))> |
#<alt (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))> |
#<alt (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2)))))> |
#<alt (/ (* y (+ x (* -1/6 (pow x 3)))) x)> |
#<alt (* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (/ (* (pow y 2) (+ x (* -1/6 (pow x 3)))) x)))))> |
#<alt (* y (+ 1 (+ (* -1/6 (pow x 2)) (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (+ x (* -1/6 (pow x 3)))) x)) (* 1/6 (/ (+ x (* -1/6 (pow x 3))) x)))))))> |
#<alt (* y (+ 1 (+ (* -1/6 (pow x 2)) (* (pow y 2) (+ (* 1/6 (/ (+ x (* -1/6 (pow x 3))) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (+ x (* -1/6 (pow x 3)))) x)) (* 1/120 (/ (+ x (* -1/6 (pow x 3))) x)))))))))> |
#<alt (* 1/2 (/ (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))) x))> |
#<alt (* 1/2 (/ (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))) x))> |
#<alt (* 1/2 (/ (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))) x))> |
#<alt (* 1/2 (/ (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))) x))> |
#<alt (* 1/2 (/ (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))) x))> |
#<alt (* 1/2 (/ (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))) x))> |
#<alt (* 1/2 (/ (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))) x))> |
#<alt (* 1/2 (/ (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))) x))> |
#<alt (* 1/2 (* x (- (exp y) (/ 1 (exp y)))))> |
#<alt (* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))> |
#<alt (* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))> |
#<alt (* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))> |
#<alt (* -1/12 (* (pow x 3) (- (exp y) (/ 1 (exp y)))))> |
#<alt (* (pow x 3) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2)))))> |
#<alt (* (pow x 3) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2)))))> |
#<alt (* (pow x 3) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2)))))> |
#<alt (* -1/12 (* (pow x 3) (- (exp y) (/ 1 (exp y)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2))) (* 1/12 (- (exp y) (/ 1 (exp y)))))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2))) (* 1/12 (- (exp y) (/ 1 (exp y)))))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2))) (* 1/12 (- (exp y) (/ 1 (exp y)))))))> |
#<alt (* y (+ x (* -1/6 (pow x 3))))> |
#<alt (* y (+ x (+ (* -1/6 (pow x 3)) (* 1/6 (* (pow y 2) (+ x (* -1/6 (pow x 3))))))))> |
#<alt (* y (+ x (+ (* -1/6 (pow x 3)) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (+ x (* -1/6 (pow x 3))))) (* 1/6 (+ x (* -1/6 (pow x 3)))))))))> |
#<alt (* y (+ x (+ (* -1/6 (pow x 3)) (* (pow y 2) (+ (* 1/6 (+ x (* -1/6 (pow x 3)))) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (+ x (* -1/6 (pow x 3))))) (* 1/120 (+ x (* -1/6 (pow x 3)))))))))))> |
#<alt (* 1/2 (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 1/2 (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))))> |
#<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))> |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 29.0ms | y | @ | -inf | (* x (sinh y)) |
| 1.0ms | y | @ | inf | (/ (* (+ (* x (* (* x x) -1/6)) x) (sinh y)) x) |
| 1.0ms | x | @ | inf | (/ (* (+ (* x (* (* x x) -1/6)) x) (sinh y)) x) |
| 1.0ms | y | @ | 0 | (/ (* (+ (* x (* (* x x) -1/6)) x) (sinh y)) x) |
| 1.0ms | x | @ | -inf | (* y (/ (sin x) x)) |
| 1× | batch-egg-rewrite |
| 4 996× | *-lowering-*.f32 |
| 4 996× | *-lowering-*.f64 |
| 4 844× | accelerator-lowering-fma.f32 |
| 4 844× | accelerator-lowering-fma.f64 |
| 2 918× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 81 |
| 1 | 85 | 75 |
| 2 | 524 | 73 |
| 3 | 5838 | 73 |
| 0 | 8265 | 70 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (sinh y) x) (sin x)) |
(/ (sinh y) x) |
(sinh y) |
(sin x) |
(* y (/ (sin x) x)) |
(/ (sin x) x) |
(/ (* x (sinh y)) x) |
(* x (sinh y)) |
(/ (* (sin x) y) x) |
(* (sin x) y) |
(/ (* (+ (* x (* (* x x) -1/6)) x) (sinh y)) x) |
(* (+ (* x (* (* x x) -1/6)) x) (sinh y)) |
(+ (* x (* (* x x) -1/6)) x) |
(* (* x x) -1/6) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) #s(literal -1 binary64))) |
(exp.f64 (fma.f64 (neg.f64 (log.f64 (sinh.f64 y))) #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 x (sin.f64 x))) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 x (sin.f64 x))) #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 (sinh.f64 y))) #s(literal -1 binary64)))) |
(neg.f64 (*.f64 (neg.f64 (/.f64 (sinh.f64 y) x)) (sin.f64 x))) |
(neg.f64 (*.f64 (sinh.f64 y) (neg.f64 (/.f64 (sin.f64 x) x)))) |
(neg.f64 (*.f64 (sin.f64 x) (neg.f64 (/.f64 (sinh.f64 y) x)))) |
(neg.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 x))) |
(neg.f64 (/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) x)) |
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 #s(literal 1 binary64) (sinh.f64 y))) |
(/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 x (sin.f64 x)))) |
(/.f64 (neg.f64 (sinh.f64 y)) (/.f64 (neg.f64 x) (sin.f64 x))) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) (/.f64 (neg.f64 x) (sin.f64 x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) (neg.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (neg.f64 x) (sin.f64 x)))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 (neg.f64 x) (sin.f64 x)))) |
(/.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (neg.f64 (sin.f64 x))) (*.f64 #s(literal 2 binary64) (neg.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (sin.f64 x)) (*.f64 #s(literal -2 binary64) x)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (neg.f64 (sin.f64 x))) (*.f64 #s(literal -2 binary64) (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 x #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x)))) x) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 x (*.f64 (sinh.f64 y) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 y) x))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (/.f64 (sin.f64 x) x)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (/.f64 (sin.f64 x) x)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 y) x)) (sin.f64 x)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) |
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) #s(literal -1 binary64)) x) |
(pow.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 x (sin.f64 x)) (/.f64 #s(literal 1 binary64) (sinh.f64 y))) #s(literal -1 binary64)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) x))) |
(*.f64 (neg.f64 (sinh.f64 y)) (neg.f64 (/.f64 (sin.f64 x) x))) |
(*.f64 (neg.f64 (sinh.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) x) (sin.f64 x))) |
(*.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sinh.f64 y) (sin.f64 x))) |
(*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (neg.f64 (/.f64 (sinh.f64 y) x))) |
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) #s(literal -1 binary64)) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (*.f64 (sinh.f64 y) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sinh.f64 y) #s(literal 2 binary64)))) (/.f64 (sin.f64 x) #s(literal 2 binary64))) |
(*.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (/.f64 (sinh.f64 y) x)) |
(*.f64 (*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (sinh.f64 y))) #s(literal -1 binary64))) |
(exp.f64 (fma.f64 (neg.f64 (log.f64 (sinh.f64 y))) #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 (sinh.f64 y))) #s(literal -1 binary64)))) |
(exp.f64 (-.f64 (*.f64 (neg.f64 (log.f64 (sinh.f64 y))) #s(literal -1 binary64)) (log.f64 x))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sinh.f64 y) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (neg.f64 (/.f64 (sinh.f64 y) x))) |
(-.f64 (/.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) x) (/.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) x)) |
(-.f64 (/.f64 (exp.f64 y) (*.f64 x #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 y)) (*.f64 x #s(literal 2 binary64)))) |
(neg.f64 (neg.f64 (/.f64 (sinh.f64 y) x))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (sinh.f64 y) x)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (sinh.f64 y)))) |
(/.f64 (sinh.f64 y) x) |
(/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) |
(/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 x))) |
(/.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(literal -2 binary64))) |
(/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (sinh.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 y) x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sinh.f64 y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) (neg.f64 x))) |
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (*.f64 (neg.f64 x) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (*.f64 x #s(literal -2 binary64))) |
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (neg.f64 (*.f64 x #s(literal 2 binary64)))) |
(/.f64 (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 y) #s(literal 3 binary64)))) (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y)))))) |
(/.f64 (-.f64 (exp.f64 (+.f64 y y)) (exp.f64 (-.f64 (neg.f64 y) y))) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 y)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 y) x)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) x)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) (*.f64 x #s(literal -2 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) (*.f64 (neg.f64 x) #s(literal -2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sinh.f64 y))) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 y) x))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 y) x))) #s(literal -2 binary64)) |
(/.f64 (/.f64 (neg.f64 (sinh.f64 y)) #s(literal -1 binary64)) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sinh.f64 y) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -2 binary64) (sinh.f64 y))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (sinh.f64 y) x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x (sinh.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 y) x))) #s(literal -1 binary64)) |
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(sinh.f64 y) |
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(fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (/.f64 (sinh.f64 y) x) (sinh.f64 y)) |
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(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 y) #s(literal 1/2 binary64)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (/.f64 (sinh.f64 y) x))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sinh.f64 y) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (/.f64 #s(literal 1 binary64) x))) |
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(fma.f64 #s(literal 1 binary64) (sinh.f64 y) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (/.f64 (sinh.f64 y) x))) |
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(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sinh.f64 y) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (sinh.f64 y)) |
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(fma.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (sinh.f64 y) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (/.f64 #s(literal 1 binary64) x))) |
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(fma.f64 (/.f64 x (neg.f64 x)) (neg.f64 (sinh.f64 y)) (*.f64 (/.f64 (sinh.f64 y) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) |
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(fma.f64 (/.f64 x #s(literal -1 binary64)) (neg.f64 (/.f64 (sinh.f64 y) x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sinh.f64 y) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) |
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(fma.f64 (/.f64 (neg.f64 (sinh.f64 y)) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sinh.f64 y) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) |
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(*.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 x))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))) |
(*.f64 (neg.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))))) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x)) (*.f64 x (fma.f64 x (*.f64 x (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 x)))) |
(*.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) |
(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 x))) (*.f64 x (fma.f64 x (*.f64 x (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 x)))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))) (fma.f64 (*.f64 x (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) (-.f64 (*.f64 x (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))))) (*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x)))) (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))))))) (*.f64 x (-.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x)))) (+.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 x))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64)))) (*.f64 x (*.f64 x x)))) (fma.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x)))))) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal -1/6 binary64)) x) |
| 1× | egg-herbie |
| 18 586× | accelerator-lowering-fma.f32 |
| 18 586× | accelerator-lowering-fma.f64 |
| 5 922× | *-lowering-*.f32 |
| 5 922× | *-lowering-*.f64 |
| 4 738× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 226 | 3034 |
| 1 | 787 | 2862 |
| 2 | 2745 | 2752 |
| 3 | 6707 | 2752 |
| 0 | 8515 | 2623 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* y (sin x)) x) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/ y x) |
(* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
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) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
y |
(+ y (* -1/6 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y))))) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y)))))) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(/ (sin x) x) |
(* 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 (- (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)))) |
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))))) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(* x y) |
(* y (+ x (* 1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* 1/120 (* x (pow y 2))) (* 1/6 x))))) |
(* y (+ 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))))) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
y |
(+ y (* -1/6 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y))))) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y)))))) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(* x y) |
(* x (+ y (* -1/6 (* (pow x 2) y)))) |
(* x (+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))) |
(* x (+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))) |
(* y (sin x)) |
(* y (sin x)) |
(* y (sin x)) |
(* y (sin x)) |
(* y (sin x)) |
(* y (sin x)) |
(* y (sin x)) |
(* y (sin x)) |
(* y (sin x)) |
(* y (sin x)) |
(* y (sin x)) |
(* y (sin x)) |
(* y (sin x)) |
(* y (sin x)) |
(* y (sin x)) |
(* y (sin x)) |
(* y (sin x)) |
(* y (sin x)) |
(* y (sin x)) |
(* y (sin x)) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) |
(* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2))))) |
(* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2))))) |
(* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2))))) |
(* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) |
(* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2))))) |
(* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2))))) |
(* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2))))) |
(/ (* y (+ x (* -1/6 (pow x 3)))) x) |
(* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (/ (* (pow y 2) (+ x (* -1/6 (pow x 3)))) x))))) |
(* y (+ 1 (+ (* -1/6 (pow x 2)) (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (+ x (* -1/6 (pow x 3)))) x)) (* 1/6 (/ (+ x (* -1/6 (pow x 3))) x))))))) |
(* y (+ 1 (+ (* -1/6 (pow x 2)) (* (pow y 2) (+ (* 1/6 (/ (+ x (* -1/6 (pow x 3))) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (+ x (* -1/6 (pow x 3)))) x)) (* 1/120 (/ (+ x (* -1/6 (pow x 3))) x))))))))) |
(* 1/2 (/ (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (/ (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y)))) x)) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
(* -1/12 (* (pow x 3) (- (exp y) (/ 1 (exp y))))) |
(* (pow x 3) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2))))) |
(* (pow x 3) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2))))) |
(* (pow x 3) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2))))) |
(* -1/12 (* (pow x 3) (- (exp y) (/ 1 (exp y))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2))) (* 1/12 (- (exp y) (/ 1 (exp y))))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2))) (* 1/12 (- (exp y) (/ 1 (exp y))))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (- (exp y) (/ 1 (exp y))) (pow x 2))) (* 1/12 (- (exp y) (/ 1 (exp y))))))) |
(* y (+ x (* -1/6 (pow x 3)))) |
(* y (+ x (+ (* -1/6 (pow x 3)) (* 1/6 (* (pow y 2) (+ x (* -1/6 (pow x 3)))))))) |
(* y (+ x (+ (* -1/6 (pow x 3)) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (+ x (* -1/6 (pow x 3))))) (* 1/6 (+ x (* -1/6 (pow x 3))))))))) |
(* y (+ x (+ (* -1/6 (pow x 3)) (* (pow y 2) (+ (* 1/6 (+ x (* -1/6 (pow x 3)))) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (+ x (* -1/6 (pow x 3))))) (* 1/120 (+ x (* -1/6 (pow x 3))))))))))) |
(* 1/2 (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y))))) |
(* 1/2 (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y))))) |
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)) |
| Outputs |
|---|
(/ (* y (sin x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(*.f64 y (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 (sin.f64 x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* 1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y)))))))) |
(fma.f64 x (*.f64 x (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal -1/12 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/10080 binary64) #s(literal 1/240 binary64))) (*.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)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x))) |
(/ y x) |
(/.f64 y x) |
(* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))) |
(*.f64 y (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(fma.f64 y (*.f64 (/.f64 (*.f64 y y) x) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 y x)) |
(* y (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 (/.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) (/.f64 #s(literal 1/6 binary64) x)) y) (/.f64 y x)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) x)) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(fma.f64 (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) |
(* 1/2 (- (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)))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) 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) |
(/ (* y (sin x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/ (* y (sin x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/ (* y (sin x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/ (* y (sin x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/ (* y (sin x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/ (* y (sin x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/ (* y (sin x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/ (* y (sin x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/ (* y (sin x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/ (* y (sin x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/ (* y (sin x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/ (* y (sin x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
y |
(+ y (* -1/6 (* (pow x 2) y))) |
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y))))) |
(fma.f64 y (*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y #s(literal -1/6 binary64))) y) |
(/ (* y (sin x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/ (* y (sin x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/ (* y (sin x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/ (* y (sin x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/ (* y (sin x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/ (* y (sin x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/ (* y (sin x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/ (* y (sin x)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(fma.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (- (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)))) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(fma.f64 (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) |
(* 1/2 (- (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)))) |
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(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
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(*.f64 y (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(* y (+ x (+ (* -1/6 (pow x 3)) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (+ x (* -1/6 (pow x 3))))) (* 1/6 (+ x (* -1/6 (pow x 3))))))))) |
(*.f64 y (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (fma.f64 (*.f64 (*.f64 y y) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x))) |
(* y (+ x (+ (* -1/6 (pow x 3)) (* (pow y 2) (+ (* 1/6 (+ x (* -1/6 (pow x 3)))) (* (pow y 2) (+ (* 1/5040 (* (pow y 2) (+ x (* -1/6 (pow x 3))))) (* 1/120 (+ x (* -1/6 (pow x 3))))))))))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)))) |
(* 1/2 (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(* 1/2 (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(* 1/2 (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(* 1/2 (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(* 1/2 (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(* 1/2 (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(* 1/2 (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(* 1/2 (* (+ x (* -1/6 (pow x 3))) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* -1/6 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* -1/6 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* -1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(* -1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
Compiled 28 897 to 2 737 computations (90.5% saved)
20 alts after pruning (19 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 488 | 19 | 1 507 |
| Fresh | 1 | 0 | 1 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 493 | 20 | 1 513 |
| Status | Accuracy | Program |
|---|---|---|
| 62.1% | (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) | |
| 60.6% | (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) | |
| 40.9% | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y #s(literal -1/6 binary64))) y) | |
| 64.0% | (fma.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) y) | |
| ▶ | 39.6% | (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) |
| 37.8% | (fma.f64 y (*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y) | |
| 56.9% | (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) | |
| 50.2% | (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (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)) x) | |
| ▶ | 46.9% | (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) x) |
| ▶ | 26.1% | (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) y) x) |
| ✓ | 39.0% | (/.f64 (*.f64 (sin.f64 x) y) x) |
| 48.7% | (/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) y) y (*.f64 x #s(literal 1/6 binary64)))) x)) x) | |
| 21.9% | (/.f64 (*.f64 y x) x) | |
| 63.3% | (/.f64 (sin.f64 x) (/.f64 x y)) | |
| 64.4% | (*.f64 (/.f64 y x) (sin.f64 x)) | |
| 40.9% | (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) | |
| 39.6% | (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) | |
| 39.5% | (*.f64 y (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) x)) | |
| ▶ | 65.0% | (sinh.f64 y) |
| ▶ | 30.6% | y |
Compiled 610 to 339 computations (44.4% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) |
| ✓ | cost-diff | 1024 | (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) y) |
| ✓ | cost-diff | 1024 | (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) y) x) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) |
| ✓ | cost-diff | 0 | (sinh.f64 y) |
| 17 558× | accelerator-lowering-fma.f32 |
| 17 558× | accelerator-lowering-fma.f64 |
| 3 808× | *-lowering-*.f32 |
| 3 808× | *-lowering-*.f64 |
| 3 150× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 142 |
| 1 | 54 | 132 |
| 2 | 145 | 126 |
| 3 | 477 | 126 |
| 4 | 1509 | 124 |
| 5 | 2579 | 124 |
| 6 | 5140 | 124 |
| 7 | 7298 | 124 |
| 0 | 8023 | 114 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sinh y) |
y |
y |
(+ (* y (* (* x x) -1/6)) y) |
y |
(* (* x x) -1/6) |
(* x x) |
x |
-1/6 |
(/ (* (+ (* x (* (* x x) -1/6)) x) y) x) |
(* (+ (* x (* (* x x) -1/6)) x) y) |
(+ (* x (* (* x x) -1/6)) x) |
x |
(* (* x x) -1/6) |
(* x x) |
-1/6 |
y |
(/ (* (+ (* x (* (* x x) -1/6)) x) (+ (* y (* 1/6 (* y y))) y)) x) |
(* (+ (* x (* (* x x) -1/6)) x) (+ (* y (* 1/6 (* y y))) y)) |
(+ (* x (* (* x x) -1/6)) x) |
x |
(* (* x x) -1/6) |
(* x x) |
-1/6 |
(+ (* y (* 1/6 (* y y))) y) |
y |
(* 1/6 (* y y)) |
1/6 |
(* y y) |
| Outputs |
|---|
(sinh y) |
(sinh.f64 y) |
y |
y |
(+ (* y (* (* x x) -1/6)) y) |
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) |
y |
(* (* x x) -1/6) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(* x x) |
(*.f64 x x) |
x |
-1/6 |
#s(literal -1/6 binary64) |
(/ (* (+ (* x (* (* x x) -1/6)) x) y) x) |
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) |
(* (+ (* x (* (* x x) -1/6)) x) y) |
(*.f64 y (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) |
(+ (* x (* (* x x) -1/6)) x) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) |
x |
(* (* x x) -1/6) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(* x x) |
(*.f64 x x) |
-1/6 |
#s(literal -1/6 binary64) |
y |
(/ (* (+ (* x (* (* x x) -1/6)) x) (+ (* y (* 1/6 (* y y))) y)) x) |
(*.f64 y (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(* (+ (* x (* (* x x) -1/6)) x) (+ (* y (* 1/6 (* y y))) y)) |
(*.f64 y (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(+ (* x (* (* x x) -1/6)) x) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) |
x |
(* (* x x) -1/6) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(* x x) |
(*.f64 x x) |
-1/6 |
#s(literal -1/6 binary64) |
(+ (* y (* 1/6 (* y y))) y) |
(fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) |
y |
(* 1/6 (* y y)) |
(*.f64 y (*.f64 y #s(literal 1/6 binary64))) |
1/6 |
#s(literal 1/6 binary64) |
(* y y) |
(*.f64 y y) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
| ✓ | accuracy | 89.3% | (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) |
| ✓ | accuracy | 82.1% | (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) x) |
| ✓ | accuracy | 100.0% | (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
| ✓ | accuracy | 93.7% | (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) y) |
| ✓ | accuracy | 81.4% | (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) y) x) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
| ✓ | accuracy | 95.9% | (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) |
| ✓ | accuracy | 100.0% | (sinh.f64 y) |
| 80.0ms | 256× | 0 | valid |
Compiled 138 to 21 computations (84.8% saved)
ival-mult: 50.0ms (75.7% of total)const: 6.0ms (9.1% of total)ival-div: 5.0ms (7.6% of total)ival-add: 3.0ms (4.5% of total)ival-sinh: 2.0ms (3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (sinh y)> |
#<alt (+ (* y (* (* x x) -1/6)) y)> |
#<alt (* (* x x) -1/6)> |
#<alt (* x x)> |
#<alt (/ (* (+ (* x (* (* x x) -1/6)) x) y) x)> |
#<alt (* (+ (* x (* (* x x) -1/6)) x) y)> |
#<alt (+ (* x (* (* x x) -1/6)) x)> |
#<alt (/ (* (+ (* x (* (* x x) -1/6)) x) (+ (* y (* 1/6 (* y y))) y)) x)> |
#<alt (* (+ (* x (* (* x x) -1/6)) x) (+ (* y (* 1/6 (* y y))) y))> |
#<alt (* 1/6 (* y y))> |
| Outputs |
|---|
#<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 (* y (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* y (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* y (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* y (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* y (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* y (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* y (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* y (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* -1 (* y (- (* 1/6 (pow x 2)) 1)))> |
#<alt (* -1 (* y (- (* 1/6 (pow x 2)) 1)))> |
#<alt (* -1 (* y (- (* 1/6 (pow x 2)) 1)))> |
#<alt (* -1 (* y (- (* 1/6 (pow x 2)) 1)))> |
#<alt y> |
#<alt (+ y (* -1/6 (* (pow x 2) y)))> |
#<alt (+ y (* -1/6 (* (pow x 2) y)))> |
#<alt (+ y (* -1/6 (* (pow x 2) y)))> |
#<alt (* -1/6 (* (pow x 2) y))> |
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))> |
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))> |
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))> |
#<alt (* -1/6 (* (pow x 2) y))> |
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))> |
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))> |
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (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 (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 y> |
#<alt (+ y (* -1/6 (* (pow x 2) y)))> |
#<alt (+ y (* -1/6 (* (pow x 2) y)))> |
#<alt (+ y (* -1/6 (* (pow x 2) y)))> |
#<alt (* -1/6 (* (pow x 2) y))> |
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))> |
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))> |
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))> |
#<alt (* -1/6 (* (pow x 2) y))> |
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))> |
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))> |
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))> |
#<alt (/ (* y (+ x (* -1/6 (pow x 3)))) x)> |
#<alt (/ (* y (+ x (* -1/6 (pow x 3)))) x)> |
#<alt (/ (* y (+ x (* -1/6 (pow x 3)))) x)> |
#<alt (/ (* y (+ x (* -1/6 (pow x 3)))) x)> |
#<alt (/ (* y (+ x (* -1/6 (pow x 3)))) x)> |
#<alt (/ (* y (+ x (* -1/6 (pow x 3)))) x)> |
#<alt (/ (* y (+ x (* -1/6 (pow x 3)))) x)> |
#<alt (/ (* y (+ x (* -1/6 (pow x 3)))) x)> |
#<alt (/ (* y (+ x (* -1/6 (pow x 3)))) x)> |
#<alt (/ (* y (+ x (* -1/6 (pow x 3)))) x)> |
#<alt (/ (* y (+ x (* -1/6 (pow x 3)))) x)> |
#<alt (/ (* y (+ x (* -1/6 (pow x 3)))) x)> |
#<alt (* x y)> |
#<alt (* x (+ y (* -1/6 (* (pow x 2) y))))> |
#<alt (* x (+ y (* -1/6 (* (pow x 2) y))))> |
#<alt (* x (+ y (* -1/6 (* (pow x 2) y))))> |
#<alt (* -1/6 (* (pow x 3) y))> |
#<alt (* (pow x 3) (+ (* -1/6 y) (/ y (pow x 2))))> |
#<alt (* (pow x 3) (+ (* -1/6 y) (/ y (pow x 2))))> |
#<alt (* (pow x 3) (+ (* -1/6 y) (/ y (pow x 2))))> |
#<alt (* -1/6 (* (pow x 3) y))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 2))) (* 1/6 y))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 2))) (* 1/6 y))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 2))) (* 1/6 y))))> |
#<alt (* y (+ x (* -1/6 (pow x 3))))> |
#<alt (* y (+ x (* -1/6 (pow x 3))))> |
#<alt (* y (+ x (* -1/6 (pow x 3))))> |
#<alt (* y (+ x (* -1/6 (pow x 3))))> |
#<alt (* y (+ x (* -1/6 (pow x 3))))> |
#<alt (* y (+ x (* -1/6 (pow x 3))))> |
#<alt (* y (+ x (* -1/6 (pow x 3))))> |
#<alt (* y (+ x (* -1/6 (pow x 3))))> |
#<alt (* y (+ x (* -1/6 (pow x 3))))> |
#<alt (* y (+ x (* -1/6 (pow x 3))))> |
#<alt (* y (+ x (* -1/6 (pow x 3))))> |
#<alt (* y (+ x (* -1/6 (pow x 3))))> |
#<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 (+ y (* 1/6 (pow y 3)))> |
#<alt (+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3))))> |
#<alt (+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3))))> |
#<alt (+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3))))> |
#<alt (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3)))))> |
#<alt (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))> |
#<alt (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3)))))> |
#<alt (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))> |
#<alt (/ (* y (+ x (* -1/6 (pow x 3)))) x)> |
#<alt (* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (/ (* (pow y 2) (+ x (* -1/6 (pow x 3)))) x)))))> |
#<alt (* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (/ (* (pow y 2) (+ x (* -1/6 (pow x 3)))) x)))))> |
#<alt (* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (/ (* (pow y 2) (+ x (* -1/6 (pow x 3)))) x)))))> |
#<alt (* 1/6 (/ (* (pow y 3) (+ x (* -1/6 (pow x 3)))) x))> |
#<alt (* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (/ (+ x (* -1/6 (pow x 3))) x)) (/ 1 (pow y 2)))))> |
#<alt (* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (/ (+ x (* -1/6 (pow x 3))) x)) (/ 1 (pow y 2)))))> |
#<alt (* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (/ (+ x (* -1/6 (pow x 3))) x)) (/ 1 (pow y 2)))))> |
#<alt (* 1/6 (/ (* (pow y 3) (+ x (* -1/6 (pow x 3)))) x))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2))) (* -1/6 (/ (+ x (* -1/6 (pow x 3))) x)))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2))) (* -1/6 (/ (+ x (* -1/6 (pow x 3))) x)))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2))) (* -1/6 (/ (+ x (* -1/6 (pow x 3))) x)))))> |
#<alt (* x (+ y (* 1/6 (pow y 3))))> |
#<alt (* x (+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3)))))> |
#<alt (* x (+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3)))))> |
#<alt (* x (+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3)))))> |
#<alt (* -1/6 (* (pow x 3) (+ y (* 1/6 (pow y 3)))))> |
#<alt (* (pow x 3) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))> |
#<alt (* (pow x 3) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))> |
#<alt (* (pow x 3) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))> |
#<alt (* -1/6 (* (pow x 3) (+ y (* 1/6 (pow y 3)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (* 1/6 (+ y (* 1/6 (pow y 3)))))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (* 1/6 (+ y (* 1/6 (pow y 3)))))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (* 1/6 (+ y (* 1/6 (pow y 3)))))))> |
#<alt (* y (+ x (* -1/6 (pow x 3))))> |
#<alt (* y (+ x (+ (* -1/6 (pow x 3)) (* 1/6 (* (pow y 2) (+ x (* -1/6 (pow x 3))))))))> |
#<alt (* y (+ x (+ (* -1/6 (pow x 3)) (* 1/6 (* (pow y 2) (+ x (* -1/6 (pow x 3))))))))> |
#<alt (* y (+ x (+ (* -1/6 (pow x 3)) (* 1/6 (* (pow y 2) (+ x (* -1/6 (pow x 3))))))))> |
#<alt (* 1/6 (* (pow y 3) (+ x (* -1/6 (pow x 3)))))> |
#<alt (* (pow y 3) (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* 1/6 (+ x (* -1/6 (pow x 3)))) (/ x (pow y 2)))))> |
#<alt (* (pow y 3) (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* 1/6 (+ x (* -1/6 (pow x 3)))) (/ x (pow y 2)))))> |
#<alt (* (pow y 3) (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* 1/6 (+ x (* -1/6 (pow x 3)))) (/ x (pow y 2)))))> |
#<alt (* 1/6 (* (pow y 3) (+ x (* -1/6 (pow x 3)))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ x (* -1/6 (pow x 3))) (pow y 2))) (* -1/6 (+ x (* -1/6 (pow x 3)))))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ x (* -1/6 (pow x 3))) (pow y 2))) (* -1/6 (+ x (* -1/6 (pow x 3)))))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ x (* -1/6 (pow x 3))) (pow y 2))) (* -1/6 (+ x (* -1/6 (pow x 3)))))))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 (pow y 2))> |
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | y | @ | inf | (* 1/6 (* y y)) |
| 1.0ms | x | @ | 0 | (/ (* (+ (* x (* (* x x) -1/6)) x) (+ (* y (* 1/6 (* y y))) y)) x) |
| 1.0ms | y | @ | inf | (/ (* (+ (* x (* (* x x) -1/6)) x) (+ (* y (* 1/6 (* y y))) y)) x) |
| 1.0ms | x | @ | -inf | (/ (* (+ (* x (* (* x x) -1/6)) x) (+ (* y (* 1/6 (* y y))) y)) x) |
| 1.0ms | y | @ | inf | (+ (* y (* (* x x) -1/6)) y) |
| 1× | batch-egg-rewrite |
| 11 474× | accelerator-lowering-fma.f32 |
| 11 474× | accelerator-lowering-fma.f64 |
| 7 680× | *-lowering-*.f32 |
| 7 680× | *-lowering-*.f64 |
| 3 730× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 97 |
| 1 | 102 | 83 |
| 2 | 777 | 83 |
| 0 | 8761 | 75 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sinh y) |
(+ (* y (* (* x x) -1/6)) y) |
(* (* x x) -1/6) |
(* x x) |
(/ (* (+ (* x (* (* x x) -1/6)) x) y) x) |
(* (+ (* x (* (* x x) -1/6)) x) y) |
(+ (* x (* (* x x) -1/6)) x) |
(/ (* (+ (* x (* (* x x) -1/6)) x) (+ (* y (* 1/6 (* y y))) y)) x) |
(* (+ (* x (* (* x x) -1/6)) x) (+ (* y (* 1/6 (* y y))) y)) |
(* 1/6 (* y y)) |
| Outputs |
|---|
(+.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))) |
(-.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64))) |
(fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (neg.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))) |
(neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal -2 binary64))) |
(sinh.f64 y) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)))) |
(/.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal -2 binary64)) |
(/.f64 (-.f64 (*.f64 (exp.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 y)))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) (*.f64 (exp.f64 y) #s(literal 1/2 binary64))) (*.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))) (fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) #s(literal -1 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 y) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (sinh.f64 y)) |
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal -1/2 binary64)) |
(+.f64 y (*.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(+.f64 (*.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) y) |
(+.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 y y) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(-.f64 (/.f64 (*.f64 y y) (+.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 x x))))) (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))) (+.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 x x)))))) |
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) |
(fma.f64 x (*.f64 (*.f64 x #s(literal -1/6 binary64)) y) y) |
(fma.f64 (*.f64 x x) (*.f64 y #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) y) y) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x)) y) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y y) |
(fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))))) |
(fma.f64 (*.f64 y (*.f64 x x)) #s(literal -1/6 binary64) y) |
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x y) y) |
(fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x) y) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 x x) y) |
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) (*.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(fma.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x y) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y x)) x y) |
(fma.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x y) |
(fma.f64 (*.f64 (*.f64 y #s(literal -1/6 binary64)) x) x y) |
(neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) (neg.f64 (*.f64 y (fma.f64 y (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) (+.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 x x))))))))) |
(neg.f64 (/.f64 (*.f64 y (-.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))) y)) (neg.f64 (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (*.f64 y (fma.f64 y (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) (+.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 x x)))))))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 y (-.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))) y))) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) (*.f64 y (fma.f64 y (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) (+.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 x x))))))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) (fma.f64 y y (*.f64 (*.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 y (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 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (*.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))))) (*.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 x x)))) (*.f64 y (-.f64 y (*.f64 y (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))))))) |
(/.f64 (*.f64 y (-.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))) y)) (*.f64 y (fma.f64 x (*.f64 x #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 (*.f64 x x) #s(literal -1/6 binary64)) y)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 y (fma.f64 y (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) (+.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 x x)))))))) |
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(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 x (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) |
(*.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (+.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))))))) |
(*.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 y (fma.f64 y (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (neg.f64 y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 (*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (*.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) (-.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))))) |
(*.f64 (*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (*.f64 x (-.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (+.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))))))) |
(*.f64 (*.f64 (*.f64 y (fma.f64 y (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (neg.f64 y))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) y) |
(*.f64 (*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) x) |
(*.f64 y (*.f64 y #s(literal 1/6 binary64))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y y) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 y #s(literal 1/6 binary64)) y) |
| 1× | egg-herbie |
| 23 804× | accelerator-lowering-fma.f32 |
| 23 804× | accelerator-lowering-fma.f64 |
| 4 334× | *-lowering-*.f32 |
| 4 334× | *-lowering-*.f64 |
| 4 250× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 133 | 2170 |
| 1 | 472 | 2100 |
| 2 | 1728 | 1998 |
| 3 | 4732 | 1796 |
| 0 | 8374 | 1649 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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)))) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(* -1 (* y (- (* 1/6 (pow x 2)) 1))) |
(* -1 (* y (- (* 1/6 (pow x 2)) 1))) |
(* -1 (* y (- (* 1/6 (pow x 2)) 1))) |
(* -1 (* y (- (* 1/6 (pow x 2)) 1))) |
y |
(+ y (* -1/6 (* (pow x 2) y))) |
(+ y (* -1/6 (* (pow x 2) y))) |
(+ y (* -1/6 (* (pow x 2) y))) |
(* -1/6 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2)))) |
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2)))) |
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2)))) |
(* -1/6 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2)))) |
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2)))) |
(* (pow x 2) (+ (* -1/6 y) (/ y (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)) |
(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) |
y |
(+ y (* -1/6 (* (pow x 2) y))) |
(+ y (* -1/6 (* (pow x 2) y))) |
(+ y (* -1/6 (* (pow x 2) y))) |
(* -1/6 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2)))) |
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2)))) |
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2)))) |
(* -1/6 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2)))) |
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2)))) |
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2)))) |
(/ (* y (+ x (* -1/6 (pow x 3)))) x) |
(/ (* y (+ x (* -1/6 (pow x 3)))) x) |
(/ (* y (+ x (* -1/6 (pow x 3)))) x) |
(/ (* y (+ x (* -1/6 (pow x 3)))) x) |
(/ (* y (+ x (* -1/6 (pow x 3)))) x) |
(/ (* y (+ x (* -1/6 (pow x 3)))) x) |
(/ (* y (+ x (* -1/6 (pow x 3)))) x) |
(/ (* y (+ x (* -1/6 (pow x 3)))) x) |
(/ (* y (+ x (* -1/6 (pow x 3)))) x) |
(/ (* y (+ x (* -1/6 (pow x 3)))) x) |
(/ (* y (+ x (* -1/6 (pow x 3)))) x) |
(/ (* y (+ x (* -1/6 (pow x 3)))) x) |
(* x y) |
(* x (+ y (* -1/6 (* (pow x 2) y)))) |
(* x (+ y (* -1/6 (* (pow x 2) y)))) |
(* x (+ y (* -1/6 (* (pow x 2) y)))) |
(* -1/6 (* (pow x 3) y)) |
(* (pow x 3) (+ (* -1/6 y) (/ y (pow x 2)))) |
(* (pow x 3) (+ (* -1/6 y) (/ y (pow x 2)))) |
(* (pow x 3) (+ (* -1/6 y) (/ y (pow x 2)))) |
(* -1/6 (* (pow x 3) y)) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 2))) (* 1/6 y)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 2))) (* 1/6 y)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 2))) (* 1/6 y)))) |
(* y (+ x (* -1/6 (pow x 3)))) |
(* y (+ x (* -1/6 (pow x 3)))) |
(* y (+ x (* -1/6 (pow x 3)))) |
(* y (+ x (* -1/6 (pow x 3)))) |
(* y (+ x (* -1/6 (pow x 3)))) |
(* y (+ x (* -1/6 (pow x 3)))) |
(* y (+ x (* -1/6 (pow x 3)))) |
(* y (+ x (* -1/6 (pow x 3)))) |
(* y (+ x (* -1/6 (pow x 3)))) |
(* y (+ x (* -1/6 (pow x 3)))) |
(* y (+ x (* -1/6 (pow x 3)))) |
(* y (+ x (* -1/6 (pow x 3)))) |
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))))) |
(+ y (* 1/6 (pow y 3))) |
(+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3)))) |
(+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3)))) |
(+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3)))) |
(* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) |
(* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2))))) |
(* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2))))) |
(* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2))))) |
(* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) |
(* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2))))) |
(* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2))))) |
(* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2))))) |
(/ (* y (+ x (* -1/6 (pow x 3)))) x) |
(* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (/ (* (pow y 2) (+ x (* -1/6 (pow x 3)))) x))))) |
(* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (/ (* (pow y 2) (+ x (* -1/6 (pow x 3)))) x))))) |
(* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (/ (* (pow y 2) (+ x (* -1/6 (pow x 3)))) x))))) |
(* 1/6 (/ (* (pow y 3) (+ x (* -1/6 (pow x 3)))) x)) |
(* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (/ (+ x (* -1/6 (pow x 3))) x)) (/ 1 (pow y 2))))) |
(* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (/ (+ x (* -1/6 (pow x 3))) x)) (/ 1 (pow y 2))))) |
(* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (/ (+ x (* -1/6 (pow x 3))) x)) (/ 1 (pow y 2))))) |
(* 1/6 (/ (* (pow y 3) (+ x (* -1/6 (pow x 3)))) x)) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2))) (* -1/6 (/ (+ x (* -1/6 (pow x 3))) x))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2))) (* -1/6 (/ (+ x (* -1/6 (pow x 3))) x))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2))) (* -1/6 (/ (+ x (* -1/6 (pow x 3))) x))))) |
(* x (+ y (* 1/6 (pow y 3)))) |
(* x (+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3))))) |
(* x (+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3))))) |
(* x (+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3))))) |
(* -1/6 (* (pow x 3) (+ y (* 1/6 (pow y 3))))) |
(* (pow x 3) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2))))) |
(* (pow x 3) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2))))) |
(* (pow x 3) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2))))) |
(* -1/6 (* (pow x 3) (+ y (* 1/6 (pow y 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (* 1/6 (+ y (* 1/6 (pow y 3))))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (* 1/6 (+ y (* 1/6 (pow y 3))))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (* 1/6 (+ y (* 1/6 (pow y 3))))))) |
(* y (+ x (* -1/6 (pow x 3)))) |
(* y (+ x (+ (* -1/6 (pow x 3)) (* 1/6 (* (pow y 2) (+ x (* -1/6 (pow x 3)))))))) |
(* y (+ x (+ (* -1/6 (pow x 3)) (* 1/6 (* (pow y 2) (+ x (* -1/6 (pow x 3)))))))) |
(* y (+ x (+ (* -1/6 (pow x 3)) (* 1/6 (* (pow y 2) (+ x (* -1/6 (pow x 3)))))))) |
(* 1/6 (* (pow y 3) (+ x (* -1/6 (pow x 3))))) |
(* (pow y 3) (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* 1/6 (+ x (* -1/6 (pow x 3)))) (/ x (pow y 2))))) |
(* (pow y 3) (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* 1/6 (+ x (* -1/6 (pow x 3)))) (/ x (pow y 2))))) |
(* (pow y 3) (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* 1/6 (+ x (* -1/6 (pow x 3)))) (/ x (pow y 2))))) |
(* 1/6 (* (pow y 3) (+ x (* -1/6 (pow x 3))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ x (* -1/6 (pow x 3))) (pow y 2))) (* -1/6 (+ x (* -1/6 (pow x 3))))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ x (* -1/6 (pow x 3))) (pow y 2))) (* -1/6 (+ x (* -1/6 (pow x 3))))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ x (* -1/6 (pow x 3))) (pow y 2))) (* -1/6 (+ x (* -1/6 (pow x 3))))))) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
| Outputs |
|---|
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(fma.f64 (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) |
(* 1/2 (- (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)))) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y) |
(* -1 (* y (- (* 1/6 (pow x 2)) 1))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y) |
(* -1 (* y (- (* 1/6 (pow x 2)) 1))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y) |
(* -1 (* y (- (* 1/6 (pow x 2)) 1))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y) |
(* -1 (* y (- (* 1/6 (pow x 2)) 1))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y) |
y |
(+ y (* -1/6 (* (pow x 2) y))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y) |
(+ y (* -1/6 (* (pow x 2) y))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y) |
(+ y (* -1/6 (* (pow x 2) y))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y) |
(* -1/6 (* (pow x 2) y)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2)))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y) |
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2)))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y) |
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2)))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y) |
(* -1/6 (* (pow x 2) y)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) |
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2)))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y) |
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2)))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y) |
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2)))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
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(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)) |
(* y (+ x (+ (* -1/6 (pow x 3)) (* 1/6 (* (pow y 2) (+ x (* -1/6 (pow x 3)))))))) |
(*.f64 y (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) |
(* y (+ x (+ (* -1/6 (pow x 3)) (* 1/6 (* (pow y 2) (+ x (* -1/6 (pow x 3)))))))) |
(*.f64 y (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) |
(* y (+ x (+ (* -1/6 (pow x 3)) (* 1/6 (* (pow y 2) (+ x (* -1/6 (pow x 3)))))))) |
(*.f64 y (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x))) |
(* 1/6 (* (pow y 3) (+ x (* -1/6 (pow x 3))))) |
(*.f64 (*.f64 y y) (*.f64 y (*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))) |
(* (pow y 3) (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* 1/6 (+ x (* -1/6 (pow x 3)))) (/ x (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1/6 binary64))) (neg.f64 (*.f64 y (*.f64 y y)))) |
(* (pow y 3) (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* 1/6 (+ x (* -1/6 (pow x 3)))) (/ x (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1/6 binary64))) (neg.f64 (*.f64 y (*.f64 y y)))) |
(* (pow y 3) (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* 1/6 (+ x (* -1/6 (pow x 3)))) (/ x (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1/6 binary64))) (neg.f64 (*.f64 y (*.f64 y y)))) |
(* 1/6 (* (pow y 3) (+ x (* -1/6 (pow x 3))))) |
(*.f64 (*.f64 y y) (*.f64 y (*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ x (* -1/6 (pow x 3))) (pow y 2))) (* -1/6 (+ x (* -1/6 (pow x 3))))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1/6 binary64))) (neg.f64 (*.f64 y (*.f64 y y)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ x (* -1/6 (pow x 3))) (pow y 2))) (* -1/6 (+ x (* -1/6 (pow x 3))))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1/6 binary64))) (neg.f64 (*.f64 y (*.f64 y y)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ x (* -1/6 (pow x 3))) (pow y 2))) (* -1/6 (+ x (* -1/6 (pow x 3))))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1/6 binary64))) (neg.f64 (*.f64 y (*.f64 y y)))) |
(* 1/6 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/6 binary64))) |
(* 1/6 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/6 binary64))) |
(* 1/6 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/6 binary64))) |
(* 1/6 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/6 binary64))) |
(* 1/6 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/6 binary64))) |
(* 1/6 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/6 binary64))) |
(* 1/6 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/6 binary64))) |
(* 1/6 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/6 binary64))) |
(* 1/6 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/6 binary64))) |
(* 1/6 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/6 binary64))) |
(* 1/6 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/6 binary64))) |
(* 1/6 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/6 binary64))) |
Compiled 50 525 to 2 954 computations (94.2% saved)
27 alts after pruning (22 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 326 | 12 | 1 338 |
| Fresh | 4 | 10 | 14 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 331 | 27 | 1 358 |
| Status | Accuracy | Program |
|---|---|---|
| 62.1% | (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) | |
| 60.6% | (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) | |
| 39.6% | (fma.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x y) | |
| ▶ | 39.6% | (fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y) |
| 39.6% | (fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x) y) | |
| 41.7% | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 y #s(literal -1/6 binary64))) y) | |
| ✓ | 39.6% | (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) |
| 56.9% | (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) | |
| 37.8% | (fma.f64 y (*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y) | |
| 56.9% | (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) | |
| 50.2% | (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (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)) x) | |
| ✓ | 26.1% | (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) y) x) |
| 35.7% | (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))) x) | |
| ✓ | 39.0% | (/.f64 (*.f64 (sin.f64 x) y) x) |
| 48.7% | (/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) y) y (*.f64 x #s(literal 1/6 binary64)))) x)) x) | |
| 21.9% | (/.f64 (*.f64 y x) x) | |
| 63.3% | (/.f64 (sin.f64 x) (/.f64 x y)) | |
| ▶ | 63.0% | (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x)) |
| ▶ | 64.4% | (*.f64 (/.f64 y x) (sin.f64 x)) |
| 55.3% | (*.f64 (*.f64 (/.f64 y x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) x) | |
| 27.5% | (*.f64 (*.f64 y (-.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))) y)) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))))) | |
| ▶ | 40.0% | (*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))) |
| 14.8% | (*.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/36 binary64) (*.f64 y #s(literal -1/6 binary64)))) | |
| 40.9% | (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) | |
| ▶ | 12.8% | (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) |
| ✓ | 65.0% | (sinh.f64 y) |
| ✓ | 30.6% | y |
Compiled 733 to 432 computations (41.1% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) |
| ✓ | cost-diff | 1024 | (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x)) |
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (*.f64 y (*.f64 y y)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))) |
| ✓ | cost-diff | 320 | (*.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 y x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 y (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) |
| ✓ | cost-diff | 0 | (sin.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 y x) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 y x) (sin.f64 x)) |
| 22 156× | accelerator-lowering-fma.f32 |
| 22 156× | accelerator-lowering-fma.f64 |
| 4 358× | *-lowering-*.f32 |
| 4 358× | *-lowering-*.f64 |
| 2 458× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 162 |
| 1 | 79 | 148 |
| 2 | 204 | 148 |
| 3 | 486 | 148 |
| 4 | 1543 | 146 |
| 5 | 2769 | 146 |
| 6 | 7333 | 146 |
| 0 | 8041 | 137 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ y x) (sin x)) |
(/ y x) |
y |
x |
(sin x) |
(* -1/6 (* y (* x x))) |
-1/6 |
(* y (* x x)) |
y |
(* x x) |
x |
(+ (* (* y x) (* x -1/6)) y) |
(* y x) |
y |
x |
(* x -1/6) |
-1/6 |
(* (* y (* y y)) (* -1/6 (+ (* 1/6 (* x x)) -1))) |
(* y (* y y)) |
y |
(* y y) |
(* -1/6 (+ (* 1/6 (* x x)) -1)) |
-1/6 |
(+ (* 1/6 (* x x)) -1) |
1/6 |
(* x x) |
x |
-1 |
(* (+ (* x (* (* x x) -1/6)) x) (/ (+ (* y (* 1/6 (* y y))) y) x)) |
(+ (* x (* (* x x) -1/6)) x) |
x |
(* (* x x) -1/6) |
(* x x) |
-1/6 |
(/ (+ (* y (* 1/6 (* y y))) y) x) |
(+ (* y (* 1/6 (* y y))) y) |
y |
(* 1/6 (* y y)) |
1/6 |
(* y y) |
| Outputs |
|---|
(* (/ y x) (sin x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(/ y x) |
(/.f64 y x) |
y |
x |
(sin x) |
(sin.f64 x) |
(* -1/6 (* y (* x x))) |
(*.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
-1/6 |
#s(literal -1/6 binary64) |
(* y (* x x)) |
(*.f64 y (*.f64 x x)) |
y |
(* x x) |
(*.f64 x x) |
x |
(+ (* (* y x) (* x -1/6)) y) |
(fma.f64 x (*.f64 y (*.f64 x #s(literal -1/6 binary64))) y) |
(* y x) |
(*.f64 y x) |
y |
x |
(* x -1/6) |
(*.f64 x #s(literal -1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(* (* y (* y y)) (* -1/6 (+ (* 1/6 (* x x)) -1))) |
(*.f64 y (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)))) |
(* y (* y y)) |
(*.f64 y (*.f64 y y)) |
y |
(* y y) |
(*.f64 y y) |
(* -1/6 (+ (* 1/6 (* x x)) -1)) |
(fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(+ (* 1/6 (* x x)) -1) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(* x x) |
(*.f64 x x) |
x |
-1 |
#s(literal -1 binary64) |
(* (+ (* x (* (* x x) -1/6)) x) (/ (+ (* y (* 1/6 (* y y))) y) x)) |
(*.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(+ (* 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 x) |
(*.f64 x x) |
-1/6 |
#s(literal -1/6 binary64) |
(/ (+ (* y (* 1/6 (* y y))) y) x) |
(/.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) x) |
(+ (* y (* 1/6 (* y y))) y) |
(fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) |
y |
(* 1/6 (* y y)) |
(*.f64 (*.f64 y y) #s(literal 1/6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(* y y) |
(*.f64 y y) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
| ✓ | accuracy | 95.6% | (/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x) |
| ✓ | accuracy | 82.5% | (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x)) |
| ✓ | accuracy | 99.9% | (*.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 y (*.f64 y y)) |
| ✓ | accuracy | 88.6% | (*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 y x) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal -1/6 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.8% | (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) |
| ✓ | accuracy | 89.6% | (*.f64 y (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (/.f64 y x) |
| ✓ | accuracy | 100.0% | (sin.f64 x) |
| ✓ | accuracy | 88.1% | (*.f64 (/.f64 y x) (sin.f64 x)) |
| 124.0ms | 256× | 0 | valid |
Compiled 159 to 31 computations (80.5% saved)
ival-mult: 69.0ms (65% of total)ival-sin: 22.0ms (20.7% of total)const: 6.0ms (5.6% of total)ival-div: 4.0ms (3.8% of total)ival-add: 4.0ms (3.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (/ y x) (sin x))> |
#<alt (/ y x)> |
#<alt (sin x)> |
#<alt (* -1/6 (* y (* x x)))> |
#<alt (* y (* x x))> |
#<alt (* x x)> |
#<alt (+ (* (* y x) (* x -1/6)) y)> |
#<alt (* y x)> |
#<alt (* x -1/6)> |
#<alt (* -1/6 (+ (* 1/6 (* x x)) -1))> |
#<alt (* (* y (* y y)) (* -1/6 (+ (* 1/6 (* x x)) -1)))> |
#<alt (* y (* y y))> |
#<alt (* y y)> |
#<alt (* (+ (* x (* (* x x) -1/6)) x) (/ (+ (* y (* 1/6 (* y y))) y) x))> |
#<alt (+ (* x (* (* x x) -1/6)) x)> |
#<alt (* (* x x) -1/6)> |
#<alt (+ (* 1/6 (* x x)) -1)> |
#<alt (/ (+ (* y (* 1/6 (* y y))) y) x)> |
#<alt (* 1/6 (* y y))> |
| Outputs |
|---|
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt y> |
#<alt (+ y (* -1/6 (* (pow x 2) y)))> |
#<alt (+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))> |
#<alt (+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<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 (* -1/6 (* (pow x 2) y))> |
#<alt (* -1/6 (* (pow x 2) y))> |
#<alt (* -1/6 (* (pow x 2) y))> |
#<alt (* -1/6 (* (pow x 2) y))> |
#<alt (* -1/6 (* (pow x 2) y))> |
#<alt (* -1/6 (* (pow x 2) y))> |
#<alt (* -1/6 (* (pow x 2) y))> |
#<alt (* -1/6 (* (pow x 2) y))> |
#<alt (* -1/6 (* (pow x 2) y))> |
#<alt (* -1/6 (* (pow x 2) y))> |
#<alt (* -1/6 (* (pow x 2) y))> |
#<alt (* -1/6 (* (pow x 2) y))> |
#<alt (* -1/6 (* (pow x 2) y))> |
#<alt (* -1/6 (* (pow x 2) y))> |
#<alt (* -1/6 (* (pow x 2) y))> |
#<alt (* -1/6 (* (pow x 2) y))> |
#<alt (* -1/6 (* (pow x 2) y))> |
#<alt (* -1/6 (* (pow x 2) y))> |
#<alt (* -1/6 (* (pow x 2) y))> |
#<alt (* -1/6 (* (pow x 2) y))> |
#<alt (* -1/6 (* (pow x 2) y))> |
#<alt (* -1/6 (* (pow x 2) y))> |
#<alt (* -1/6 (* (pow x 2) y))> |
#<alt (* -1/6 (* (pow x 2) y))> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<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 (* y (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* y (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* y (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* y (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* y (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* y (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* y (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* y (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* -1 (* y (- (* 1/6 (pow x 2)) 1)))> |
#<alt (* -1 (* y (- (* 1/6 (pow x 2)) 1)))> |
#<alt (* -1 (* y (- (* 1/6 (pow x 2)) 1)))> |
#<alt (* -1 (* y (- (* 1/6 (pow x 2)) 1)))> |
#<alt y> |
#<alt (+ y (* -1/6 (* (pow x 2) y)))> |
#<alt (+ y (* -1/6 (* (pow x 2) y)))> |
#<alt (+ y (* -1/6 (* (pow x 2) y)))> |
#<alt (* -1/6 (* (pow x 2) y))> |
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))> |
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))> |
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))> |
#<alt (* -1/6 (* (pow x 2) y))> |
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))> |
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))> |
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))> |
#<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 (* -1/6 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 1/6> |
#<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 (* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1)))> |
#<alt (* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1)))> |
#<alt (* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1)))> |
#<alt (* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1)))> |
#<alt (* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1)))> |
#<alt (* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1)))> |
#<alt (* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1)))> |
#<alt (* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1)))> |
#<alt (* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1)))> |
#<alt (* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1)))> |
#<alt (* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1)))> |
#<alt (* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1)))> |
#<alt (* 1/6 (pow y 3))> |
#<alt (+ (* -1/36 (* (pow x 2) (pow y 3))) (* 1/6 (pow y 3)))> |
#<alt (+ (* -1/36 (* (pow x 2) (pow y 3))) (* 1/6 (pow y 3)))> |
#<alt (+ (* -1/36 (* (pow x 2) (pow y 3))) (* 1/6 (pow y 3)))> |
#<alt (* -1/36 (* (pow x 2) (pow y 3)))> |
#<alt (* (pow x 2) (+ (* -1/36 (pow y 3)) (* 1/6 (/ (pow y 3) (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/36 (pow y 3)) (* 1/6 (/ (pow y 3) (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/36 (pow y 3)) (* 1/6 (/ (pow y 3) (pow x 2)))))> |
#<alt (* -1/36 (* (pow x 2) (pow y 3)))> |
#<alt (* (pow x 2) (+ (* -1/36 (pow y 3)) (* 1/6 (/ (pow y 3) (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/36 (pow y 3)) (* 1/6 (/ (pow y 3) (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/36 (pow y 3)) (* 1/6 (/ (pow y 3) (pow x 2)))))> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (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 (+ y (* 1/6 (pow y 3)))> |
#<alt (+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3))))> |
#<alt (+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3))))> |
#<alt (+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3))))> |
#<alt (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3)))))> |
#<alt (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))> |
#<alt (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3)))))> |
#<alt (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))> |
#<alt (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2)))))> |
#<alt (/ (* y (+ x (* -1/6 (pow x 3)))) x)> |
#<alt (* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (/ (* (pow y 2) (+ x (* -1/6 (pow x 3)))) x)))))> |
#<alt (* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (/ (* (pow y 2) (+ x (* -1/6 (pow x 3)))) x)))))> |
#<alt (* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (/ (* (pow y 2) (+ x (* -1/6 (pow x 3)))) x)))))> |
#<alt (* 1/6 (/ (* (pow y 3) (+ x (* -1/6 (pow x 3)))) x))> |
#<alt (* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (/ (+ x (* -1/6 (pow x 3))) x)) (/ 1 (pow y 2)))))> |
#<alt (* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (/ (+ x (* -1/6 (pow x 3))) x)) (/ 1 (pow y 2)))))> |
#<alt (* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (/ (+ x (* -1/6 (pow x 3))) x)) (/ 1 (pow y 2)))))> |
#<alt (* 1/6 (/ (* (pow y 3) (+ x (* -1/6 (pow x 3)))) x))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2))) (* -1/6 (/ (+ x (* -1/6 (pow x 3))) x)))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2))) (* -1/6 (/ (+ x (* -1/6 (pow x 3))) x)))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2))) (* -1/6 (/ (+ x (* -1/6 (pow x 3))) x)))))> |
#<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> |
#<alt (- (* 1/6 (pow x 2)) 1)> |
#<alt (- (* 1/6 (pow x 2)) 1)> |
#<alt (- (* 1/6 (pow x 2)) 1)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (- 1/6 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (- 1/6 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (- 1/6 (/ 1 (pow x 2))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (- 1/6 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (- 1/6 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (- 1/6 (/ 1 (pow x 2))))> |
#<alt (/ y x)> |
#<alt (* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))> |
#<alt (* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))> |
#<alt (* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x)))> |
#<alt (* 1/6 (/ (pow y 3) x))> |
#<alt (* (pow y 3) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))> |
#<alt (* (pow y 3) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))> |
#<alt (* (pow y 3) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))> |
#<alt (* 1/6 (/ (pow y 3) x))> |
#<alt (* (pow y 3) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))> |
#<alt (* (pow y 3) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))> |
#<alt (* (pow y 3) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))))> |
#<alt (/ (+ y (* 1/6 (pow y 3))) x)> |
#<alt (/ (+ y (* 1/6 (pow y 3))) x)> |
#<alt (/ (+ y (* 1/6 (pow y 3))) x)> |
#<alt (/ (+ y (* 1/6 (pow y 3))) x)> |
#<alt (/ (+ y (* 1/6 (pow y 3))) x)> |
#<alt (/ (+ y (* 1/6 (pow y 3))) x)> |
#<alt (/ (+ y (* 1/6 (pow y 3))) x)> |
#<alt (/ (+ y (* 1/6 (pow y 3))) x)> |
#<alt (/ (+ y (* 1/6 (pow y 3))) x)> |
#<alt (/ (+ y (* 1/6 (pow y 3))) x)> |
#<alt (/ (+ y (* 1/6 (pow y 3))) x)> |
#<alt (/ (+ y (* 1/6 (pow y 3))) x)> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* 1/6 (pow y 2))> |
84 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (* (* y (* y y)) (* -1/6 (+ (* 1/6 (* x x)) -1))) |
| 1.0ms | x | @ | 0 | (/ (+ (* y (* 1/6 (* y y))) y) x) |
| 0.0ms | y | @ | inf | (* (* y (* y y)) (* -1/6 (+ (* 1/6 (* x x)) -1))) |
| 0.0ms | x | @ | inf | (/ (+ (* y (* 1/6 (* y y))) y) x) |
| 0.0ms | x | @ | 0 | (* (* y (* y y)) (* -1/6 (+ (* 1/6 (* x x)) -1))) |
| 1× | batch-egg-rewrite |
| 6 770× | accelerator-lowering-fma.f32 |
| 6 770× | accelerator-lowering-fma.f64 |
| 5 482× | *-lowering-*.f32 |
| 5 482× | *-lowering-*.f64 |
| 3 910× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 127 |
| 1 | 138 | 115 |
| 2 | 1009 | 115 |
| 0 | 8430 | 107 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ y x) (sin x)) |
(/ y x) |
(sin x) |
(* -1/6 (* y (* x x))) |
(* y (* x x)) |
(* x x) |
(+ (* (* y x) (* x -1/6)) y) |
(* y x) |
(* x -1/6) |
(* -1/6 (+ (* 1/6 (* x x)) -1)) |
(* (* y (* y y)) (* -1/6 (+ (* 1/6 (* x x)) -1))) |
(* y (* y y)) |
(* y y) |
(* (+ (* x (* (* x x) -1/6)) x) (/ (+ (* y (* 1/6 (* y y))) y) x)) |
(+ (* x (* (* x x) -1/6)) x) |
(* (* x x) -1/6) |
(+ (* 1/6 (* x x)) -1) |
(/ (+ (* y (* 1/6 (* y y))) y) x) |
(* 1/6 (* y y)) |
| Outputs |
|---|
(neg.f64 (*.f64 (/.f64 y (neg.f64 x)) (sin.f64 x))) |
(neg.f64 (*.f64 (sin.f64 x) (/.f64 y (neg.f64 x)))) |
(neg.f64 (/.f64 (*.f64 y (sin.f64 x)) (neg.f64 x))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 y (sin.f64 x))) x)) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 y (sin.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sin.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) (sin.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 y (sin.f64 x))) #s(literal 1 binary64))) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/.f64 (neg.f64 (*.f64 y (sin.f64 x))) (neg.f64 x)) |
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (neg.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 y (sin.f64 x)))) x) |
(pow.f64 (/.f64 x (*.f64 y (sin.f64 x))) #s(literal -1 binary64)) |
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) (sin.f64 x))) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sin.f64 x)) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 y (sin.f64 x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (neg.f64 (*.f64 y (sin.f64 x))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 y (neg.f64 x))) |
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (sin.f64 x) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 y (neg.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 y (neg.f64 x))) |
(neg.f64 (/.f64 y (neg.f64 x))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 x)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 x y))) |
(/.f64 y x) |
(/.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y))) |
(/.f64 (neg.f64 y) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x y)) |
(pow.f64 (/.f64 x y) #s(literal -1 binary64)) |
(*.f64 y (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 x))) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 y x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) y) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(sin.f64 x) |
(*.f64 (sin.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 x)) |
(*.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y x))) |
(*.f64 x (*.f64 y (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 y #s(literal -1/6 binary64))) |
(*.f64 (*.f64 y (*.f64 x x)) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 y x)) |
(*.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) y) |
(*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y x)) x) |
(*.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x) |
(*.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) y) x) |
(*.f64 (*.f64 (*.f64 y #s(literal -1/6 binary64)) x) x) |
(*.f64 y (*.f64 x x)) |
(*.f64 x (*.f64 y x)) |
(*.f64 (*.f64 x x) y) |
(*.f64 (*.f64 y x) x) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(*.f64 x x) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
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(*.f64 (pow.f64 (/.f64 x (fma.f64 y (*.f64 y y) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (+.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))))))) |
(*.f64 (pow.f64 (/.f64 x (*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (*.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y))) |
(*.f64 (/.f64 (*.f64 y (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (+.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))))) x) (/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (*.f64 y (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) (+.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))))))) |
(*.f64 (pow.f64 (/.f64 x (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) #s(literal -1/2 binary64))) |
(*.f64 y (*.f64 y #s(literal 1/6 binary64))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y y) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 y #s(literal 1/6 binary64)) y) |
| 1× | egg-herbie |
| 13 192× | accelerator-lowering-fma.f32 |
| 13 192× | accelerator-lowering-fma.f64 |
| 4 432× | *-lowering-*.f32 |
| 4 432× | *-lowering-*.f64 |
| 2 032× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 133 | 2424 |
| 1 | 402 | 2318 |
| 2 | 1279 | 2210 |
| 3 | 2968 | 2166 |
| 4 | 5985 | 2166 |
| 0 | 8311 | 2022 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
y |
(+ y (* -1/6 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y))))) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y)))))) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) 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 x) |
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) |
(* -1/6 (* (pow x 2) y)) |
(* -1/6 (* (pow x 2) y)) |
(* -1/6 (* (pow x 2) y)) |
(* -1/6 (* (pow x 2) y)) |
(* -1/6 (* (pow x 2) y)) |
(* -1/6 (* (pow x 2) y)) |
(* -1/6 (* (pow x 2) y)) |
(* -1/6 (* (pow x 2) y)) |
(* -1/6 (* (pow x 2) y)) |
(* -1/6 (* (pow x 2) y)) |
(* -1/6 (* (pow x 2) y)) |
(* -1/6 (* (pow x 2) y)) |
(* -1/6 (* (pow x 2) y)) |
(* -1/6 (* (pow x 2) y)) |
(* -1/6 (* (pow x 2) y)) |
(* -1/6 (* (pow x 2) y)) |
(* -1/6 (* (pow x 2) y)) |
(* -1/6 (* (pow x 2) y)) |
(* -1/6 (* (pow x 2) y)) |
(* -1/6 (* (pow x 2) y)) |
(* -1/6 (* (pow x 2) y)) |
(* -1/6 (* (pow x 2) y)) |
(* -1/6 (* (pow x 2) y)) |
(* -1/6 (* (pow x 2) y)) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(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) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(* -1 (* y (- (* 1/6 (pow x 2)) 1))) |
(* -1 (* y (- (* 1/6 (pow x 2)) 1))) |
(* -1 (* y (- (* 1/6 (pow x 2)) 1))) |
(* -1 (* y (- (* 1/6 (pow x 2)) 1))) |
y |
(+ y (* -1/6 (* (pow x 2) y))) |
(+ y (* -1/6 (* (pow x 2) y))) |
(+ y (* -1/6 (* (pow x 2) y))) |
(* -1/6 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2)))) |
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2)))) |
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2)))) |
(* -1/6 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2)))) |
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2)))) |
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2)))) |
(* 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) |
(* -1/6 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) |
1/6 |
(+ 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)) |
(* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1))) |
(* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1))) |
(* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1))) |
(* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1))) |
(* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1))) |
(* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1))) |
(* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1))) |
(* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1))) |
(* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1))) |
(* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1))) |
(* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1))) |
(* -1/6 (* (pow y 3) (- (* 1/6 (pow x 2)) 1))) |
(* 1/6 (pow y 3)) |
(+ (* -1/36 (* (pow x 2) (pow y 3))) (* 1/6 (pow y 3))) |
(+ (* -1/36 (* (pow x 2) (pow y 3))) (* 1/6 (pow y 3))) |
(+ (* -1/36 (* (pow x 2) (pow y 3))) (* 1/6 (pow y 3))) |
(* -1/36 (* (pow x 2) (pow y 3))) |
(* (pow x 2) (+ (* -1/36 (pow y 3)) (* 1/6 (/ (pow y 3) (pow x 2))))) |
(* (pow x 2) (+ (* -1/36 (pow y 3)) (* 1/6 (/ (pow y 3) (pow x 2))))) |
(* (pow x 2) (+ (* -1/36 (pow y 3)) (* 1/6 (/ (pow y 3) (pow x 2))))) |
(* -1/36 (* (pow x 2) (pow y 3))) |
(* (pow x 2) (+ (* -1/36 (pow y 3)) (* 1/6 (/ (pow y 3) (pow x 2))))) |
(* (pow x 2) (+ (* -1/36 (pow y 3)) (* 1/6 (/ (pow y 3) (pow x 2))))) |
(* (pow x 2) (+ (* -1/36 (pow y 3)) (* 1/6 (/ (pow y 3) (pow x 2))))) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(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) |
(+ y (* 1/6 (pow y 3))) |
(+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3)))) |
(+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3)))) |
(+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3)))) |
(* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) |
(* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2))))) |
(* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2))))) |
(* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2))))) |
(* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) |
(* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2))))) |
(* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2))))) |
(* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2))))) |
(/ (* y (+ x (* -1/6 (pow x 3)))) x) |
(* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (/ (* (pow y 2) (+ x (* -1/6 (pow x 3)))) x))))) |
(* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (/ (* (pow y 2) (+ x (* -1/6 (pow x 3)))) x))))) |
(* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (/ (* (pow y 2) (+ x (* -1/6 (pow x 3)))) x))))) |
(* 1/6 (/ (* (pow y 3) (+ x (* -1/6 (pow x 3)))) x)) |
(* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (/ (+ x (* -1/6 (pow x 3))) x)) (/ 1 (pow y 2))))) |
(* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (/ (+ x (* -1/6 (pow x 3))) x)) (/ 1 (pow y 2))))) |
(* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (/ (+ x (* -1/6 (pow x 3))) x)) (/ 1 (pow y 2))))) |
(* 1/6 (/ (* (pow y 3) (+ x (* -1/6 (pow x 3)))) x)) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2))) (* -1/6 (/ (+ x (* -1/6 (pow x 3))) x))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2))) (* -1/6 (/ (+ x (* -1/6 (pow x 3))) x))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2))) (* -1/6 (/ (+ x (* -1/6 (pow x 3))) x))))) |
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 |
(- (* 1/6 (pow x 2)) 1) |
(- (* 1/6 (pow x 2)) 1) |
(- (* 1/6 (pow x 2)) 1) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (- 1/6 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1/6 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1/6 (/ 1 (pow x 2)))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (- 1/6 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1/6 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1/6 (/ 1 (pow x 2)))) |
(/ y x) |
(* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))) |
(* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))) |
(* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))) |
(* 1/6 (/ (pow y 3) x)) |
(* (pow y 3) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))) |
(* (pow y 3) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))) |
(* (pow y 3) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))) |
(* 1/6 (/ (pow y 3) x)) |
(* (pow y 3) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))) |
(* (pow y 3) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))) |
(* (pow y 3) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))) |
(/ (+ y (* 1/6 (pow y 3))) x) |
(/ (+ y (* 1/6 (pow y 3))) x) |
(/ (+ y (* 1/6 (pow y 3))) x) |
(/ (+ y (* 1/6 (pow y 3))) x) |
(/ (+ y (* 1/6 (pow y 3))) x) |
(/ (+ y (* 1/6 (pow y 3))) x) |
(/ (+ y (* 1/6 (pow y 3))) x) |
(/ (+ y (* 1/6 (pow y 3))) x) |
(/ (+ y (* 1/6 (pow y 3))) x) |
(/ (+ y (* 1/6 (pow y 3))) x) |
(/ (+ y (* 1/6 (pow y 3))) x) |
(/ (+ y (* 1/6 (pow y 3))) x) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
(* 1/6 (pow y 2)) |
| Outputs |
|---|
(/ (* y (sin x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/ (* y (sin x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/ (* y (sin x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/ (* y (sin x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/ (* y (sin x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/ (* y (sin x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/ (* y (sin x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/ (* y (sin x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/ (* y (sin x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/ (* y (sin x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/ (* y (sin x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/ (* y (sin x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
y |
(+ y (* -1/6 (* (pow x 2) y))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y))))) |
(fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y)))))) |
(fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
(/ (* y (sin x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/ (* y (sin x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/ (* y (sin x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/ (* y (sin x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/ (* y (sin x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/ (* y (sin x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/ (* y (sin x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/ (* y (sin x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 x 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 (*.f64 x 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) |
(* -1/6 (* (pow x 2) y)) |
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(* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2))))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) |
(* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 2))) (/ y (pow x 2))))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) |
(/ (* y (+ x (* -1/6 (pow x 3)))) x) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y) |
(* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (/ (* (pow y 2) (+ x (* -1/6 (pow x 3)))) x))))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) |
(* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (/ (* (pow y 2) (+ x (* -1/6 (pow x 3)))) x))))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) |
(* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (/ (* (pow y 2) (+ x (* -1/6 (pow x 3)))) x))))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) |
(* 1/6 (/ (* (pow y 3) (+ x (* -1/6 (pow x 3)))) x)) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (/ (+ x (* -1/6 (pow x 3))) x)) (/ 1 (pow y 2))))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) |
(* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (/ (+ x (* -1/6 (pow x 3))) x)) (/ 1 (pow y 2))))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) |
(* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (/ (+ x (* -1/6 (pow x 3))) x)) (/ 1 (pow y 2))))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) |
(* 1/6 (/ (* (pow y 3) (+ x (* -1/6 (pow x 3)))) x)) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2))) (* -1/6 (/ (+ x (* -1/6 (pow x 3))) x))))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2))) (* -1/6 (/ (+ x (* -1/6 (pow x 3))) x))))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2))) (* -1/6 (/ (+ x (* -1/6 (pow x 3))) x))))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(* -1/6 (pow x 3)) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(* -1/6 (pow x 3)) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
-1 |
#s(literal -1 binary64) |
(- (* 1/6 (pow x 2)) 1) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(- (* 1/6 (pow x 2)) 1) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(- (* 1/6 (pow x 2)) 1) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* (pow x 2) (- 1/6 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(* (pow x 2) (- 1/6 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(* (pow x 2) (- 1/6 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* (pow x 2) (- 1/6 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(* (pow x 2) (- 1/6 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(* (pow x 2) (- 1/6 (/ 1 (pow x 2)))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(/ y x) |
(/.f64 y x) |
(* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x) |
(* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x) |
(* y (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x) |
(* 1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) |
(* (pow y 3) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x) |
(* (pow y 3) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x) |
(* (pow y 3) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x) |
(* 1/6 (/ (pow y 3) x)) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) x) |
(* (pow y 3) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x) |
(* (pow y 3) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x) |
(* (pow y 3) (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2))))) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x) |
(/ (+ y (* 1/6 (pow y 3))) x) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x) |
(/ (+ y (* 1/6 (pow y 3))) x) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x) |
(/ (+ y (* 1/6 (pow y 3))) x) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x) |
(/ (+ y (* 1/6 (pow y 3))) x) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x) |
(/ (+ y (* 1/6 (pow y 3))) x) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x) |
(/ (+ y (* 1/6 (pow y 3))) x) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x) |
(/ (+ y (* 1/6 (pow y 3))) x) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x) |
(/ (+ y (* 1/6 (pow y 3))) x) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x) |
(/ (+ y (* 1/6 (pow y 3))) x) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x) |
(/ (+ y (* 1/6 (pow y 3))) x) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x) |
(/ (+ y (* 1/6 (pow y 3))) x) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x) |
(/ (+ y (* 1/6 (pow y 3))) x) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
Compiled 33 919 to 2 162 computations (93.6% saved)
29 alts after pruning (22 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 127 | 12 | 1 139 |
| Fresh | 7 | 10 | 17 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 137 | 29 | 1 166 |
| Status | Accuracy | Program |
|---|---|---|
| 62.1% | (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) | |
| 60.6% | (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) | |
| 41.7% | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 y #s(literal -1/6 binary64))) y) | |
| 40.9% | (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) | |
| 37.8% | (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y) | |
| ✓ | 39.6% | (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) |
| 56.9% | (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) | |
| 50.2% | (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (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)) x) | |
| ✓ | 26.1% | (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) y) x) |
| ✓ | 39.0% | (/.f64 (*.f64 (sin.f64 x) y) x) |
| 48.7% | (/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) y) y (*.f64 x #s(literal 1/6 binary64)))) x)) x) | |
| 21.9% | (/.f64 (*.f64 y x) x) | |
| 63.3% | (/.f64 (sin.f64 x) (/.f64 x y)) | |
| 27.4% | (/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))) | |
| ✓ | 64.4% | (*.f64 (/.f64 y x) (sin.f64 x)) |
| 53.6% | (*.f64 (/.f64 y x) x) | |
| 40.0% | (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) y) (*.f64 y y)) | |
| 55.3% | (*.f64 (*.f64 (/.f64 y x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) x) | |
| 27.5% | (*.f64 (*.f64 y (-.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))) y)) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))))) | |
| 19.6% | (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) | |
| 42.9% | (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64)) | |
| 12.8% | (*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x)) | |
| 42.9% | (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) | |
| 70.4% | (*.f64 x (/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x)) | |
| 12.8% | (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y x) x)) | |
| ✓ | 12.8% | (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) |
| ✓ | 65.0% | (sinh.f64 y) |
| 27.6% | (neg.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y x)) y) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (fma.f64 y (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) y))) | |
| ✓ | 30.6% | y |
Compiled 1 046 to 395 computations (62.2% saved)
| Inputs |
|---|
y |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y x) x)) |
(*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
(*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64)) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 y x) x) |
(/.f64 (*.f64 y x) x) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) |
(fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) |
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x) y) |
(fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x y) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) y) (*.f64 y y)) |
(fma.f64 y (*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y) |
(fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/36 binary64) (*.f64 y #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))) |
(*.f64 x (/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x)) |
(*.f64 y (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) x)) |
(*.f64 (*.f64 (/.f64 y x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) x) |
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) y) x) |
(*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y #s(literal -1/6 binary64))) y) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))) x) |
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x)) |
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) x) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 y #s(literal -1/6 binary64))) y) |
(/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) y) y (*.f64 x #s(literal 1/6 binary64)))) x)) x) |
(*.f64 (*.f64 y (-.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))) y)) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y x)) y) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (fma.f64 y (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) y))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (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)) x) |
(fma.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) y) |
(sinh.f64 y) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(/.f64 (*.f64 x (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 x) y) x) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (sinh.f64 y)) x) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
| Outputs |
|---|
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
4 calls:
| 37.0ms | y |
| 23.0ms | (sinh.f64 y) |
| 16.0ms | x |
| 12.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 99.9% | 1 | (sinh.f64 y) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
y |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y x) x)) |
(*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
(*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64)) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 y x) x) |
(/.f64 (*.f64 y x) x) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) |
(fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) |
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x) y) |
(fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x y) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) y) (*.f64 y y)) |
(fma.f64 y (*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y) |
(fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/36 binary64) (*.f64 y #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))) |
(*.f64 x (/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x)) |
(*.f64 y (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) x)) |
(*.f64 (*.f64 (/.f64 y x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) x) |
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) y) x) |
(*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y #s(literal -1/6 binary64))) y) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))) x) |
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x)) |
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) x) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 y #s(literal -1/6 binary64))) y) |
(/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) y) y (*.f64 x #s(literal 1/6 binary64)))) x)) x) |
(*.f64 (*.f64 y (-.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))) y)) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y x)) y) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (fma.f64 y (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) y))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (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)) x) |
(fma.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) y) |
(sinh.f64 y) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(/.f64 (*.f64 x (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 x) y) x) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (sinh.f64 y)) x) |
| Outputs |
|---|
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (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)) x) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(sinh.f64 y) |
4 calls:
| 17.0ms | x |
| 15.0ms | y |
| 14.0ms | (sinh.f64 y) |
| 11.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.2% | 3 | x |
| 89.4% | 2 | y |
| 100.0% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 89.4% | 2 | (sinh.f64 y) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
y |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y x) x)) |
(*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
(*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64)) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 y x) x) |
(/.f64 (*.f64 y x) x) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) |
(fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) |
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x) y) |
(fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x y) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) y) (*.f64 y y)) |
(fma.f64 y (*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y) |
(fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/36 binary64) (*.f64 y #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))) |
(*.f64 x (/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x)) |
(*.f64 y (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) x)) |
(*.f64 (*.f64 (/.f64 y x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) x) |
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) y) x) |
(*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y #s(literal -1/6 binary64))) y) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))) x) |
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x)) |
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) x) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 y #s(literal -1/6 binary64))) y) |
(/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) y) y (*.f64 x #s(literal 1/6 binary64)))) x)) x) |
(*.f64 (*.f64 y (-.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))) y)) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y x)) y) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (fma.f64 y (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) y))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (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)) x) |
(fma.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) y) |
(sinh.f64 y) |
| Outputs |
|---|
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (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)) x) |
(*.f64 (/.f64 y x) x) |
(sinh.f64 y) |
3 calls:
| 13.0ms | (sinh.f64 y) |
| 13.0ms | y |
| 10.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.7% | 3 | y |
| 76.4% | 2 | (sinh.f64 y) |
| 89.3% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
y |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y x) x)) |
(*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
(*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64)) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 y x) x) |
(/.f64 (*.f64 y x) x) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) |
(fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) |
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x) y) |
(fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x y) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) y) (*.f64 y y)) |
(fma.f64 y (*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y) |
(fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/36 binary64) (*.f64 y #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))) |
(*.f64 x (/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x)) |
(*.f64 y (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) x)) |
(*.f64 (*.f64 (/.f64 y x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) x) |
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) y) x) |
(*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y #s(literal -1/6 binary64))) y) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))) x) |
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x)) |
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) x) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 y #s(literal -1/6 binary64))) y) |
(/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) y) y (*.f64 x #s(literal 1/6 binary64)))) x)) x) |
(*.f64 (*.f64 y (-.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))) y)) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y x)) y) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (fma.f64 y (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) y))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (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)) x) |
(fma.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))))) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) y) |
| Outputs |
|---|
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (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)) x) |
(*.f64 (/.f64 y x) x) |
(/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) y) y (*.f64 x #s(literal 1/6 binary64)))) x)) x) |
1 calls:
| 11.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.7% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
y |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y x) x)) |
(*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
(*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64)) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 y x) x) |
(/.f64 (*.f64 y x) x) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) |
(fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) |
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x) y) |
(fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x y) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) y) (*.f64 y y)) |
(fma.f64 y (*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y) |
(fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/36 binary64) (*.f64 y #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))) |
(*.f64 x (/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x)) |
(*.f64 y (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) x)) |
(*.f64 (*.f64 (/.f64 y x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) x) |
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) y) x) |
(*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y #s(literal -1/6 binary64))) y) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))) x) |
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x)) |
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) x) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 y #s(literal -1/6 binary64))) y) |
(/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) y) y (*.f64 x #s(literal 1/6 binary64)))) x)) x) |
(*.f64 (*.f64 y (-.f64 (*.f64 y (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64))) y)) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y x)) y) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (fma.f64 y (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) y))) |
| Outputs |
|---|
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) |
(*.f64 (/.f64 y x) x) |
(/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) y) y (*.f64 x #s(literal 1/6 binary64)))) x)) x) |
1 calls:
| 10.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.7% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
y |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y x) x)) |
(*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
(*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64)) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 y x) x) |
(/.f64 (*.f64 y x) x) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) |
(fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) |
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x) y) |
(fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x y) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) y) (*.f64 y y)) |
(fma.f64 y (*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y) |
(fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/36 binary64) (*.f64 y #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))) |
(*.f64 x (/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x)) |
(*.f64 y (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) x)) |
(*.f64 (*.f64 (/.f64 y x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) x) |
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) y) x) |
(*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y #s(literal -1/6 binary64))) y) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x)))) x) |
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x)) |
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) x) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal -1/36 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 y #s(literal -1/6 binary64))) y) |
| Outputs |
|---|
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) |
(*.f64 (/.f64 y x) x) |
(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 calls:
| 62.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.3% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
y |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y x) x)) |
(*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
(*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64)) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 y x) x) |
(/.f64 (*.f64 y x) x) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) |
(fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) |
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x) y) |
(fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x y) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) y) (*.f64 y y)) |
(fma.f64 y (*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y) |
(fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/36 binary64) (*.f64 y #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))) |
(*.f64 x (/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x)) |
(*.f64 y (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) x)) |
(*.f64 (*.f64 (/.f64 y x) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) x) |
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) y) x) |
(*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
| Outputs |
|---|
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) |
(*.f64 x (/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x)) |
1 calls:
| 7.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.4% | 2 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
y |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y x) x)) |
(*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
(*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64)) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 y x) x) |
(/.f64 (*.f64 y x) x) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) |
(fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) |
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x) y) |
(fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x y) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) y) (*.f64 y y)) |
(fma.f64 y (*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y) |
(fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/36 binary64) (*.f64 y #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) |
(*.f64 (/.f64 y x) x) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
1 calls:
| 6.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.9% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
y |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y x) x)) |
(*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
(*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64)) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 y x) x) |
(/.f64 (*.f64 y x) x) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) |
(fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) |
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x) y) |
(fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x y) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) y) (*.f64 y y)) |
(fma.f64 y (*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) y) |
(fma.f64 (*.f64 x x) (*.f64 y (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) y) |
| Outputs |
|---|
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) |
(*.f64 (/.f64 y x) x) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) |
1 calls:
| 10.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.2% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
y |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y x) x)) |
(*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
(*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64)) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 y x) x) |
(/.f64 (*.f64 y x) x) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) |
(fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) |
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x) y) |
(fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x y) |
| Outputs |
|---|
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 y x) x) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) |
3 calls:
| 6.0ms | y |
| 5.0ms | x |
| 4.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.8% | 3 | y |
| 68.5% | 2 | x |
| 78.6% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
y |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y x) x)) |
(*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
(*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64)) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 y x) x) |
(/.f64 (*.f64 y x) x) |
| Outputs |
|---|
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 y x) x) |
(*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
1 calls:
| 3.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.5% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
y |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y x) x)) |
(*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
(*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64)) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
4 calls:
| 4.0ms | (sinh.f64 y) |
| 3.0ms | y |
| 3.0ms | x |
| 2.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.8% | 2 | x |
| 59.7% | 2 | y |
| 56.8% | 2 | (sinh.f64 y) |
| 66.4% | 2 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
y |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y x) x)) |
(*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
(*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/6 binary64)) |
| Outputs |
|---|
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) |
y |
(*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))) |
1 calls:
| 2.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.2% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
y |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y x) x)) |
| Outputs |
|---|
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) |
y |
4 calls:
| 3.0ms | (sinh.f64 y) |
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.6% | 2 | x |
| 39.1% | 2 | (sinh.f64 y) |
| 39.1% | 2 | y |
| 40.9% | 2 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 19 to 13 computations (31.6% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
y |
| Outputs |
|---|
y |
4 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (sinh.f64 y) |
| 1.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 30.6% | 1 | (sinh.f64 y) |
| 30.6% | 1 | y |
| 30.6% | 1 | x |
| 30.6% | 1 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 19 to 13 computations (31.6% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.441006582961624e-112 | 2.2387104799514583e-92 |
| 0.0ms | -inf | -1.0203839223470586e-24 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.635e-320 | 1.1037339819815524e-279 |
| 0.0ms | -7.523452720108434e-168 | -2.2588578009190193e-230 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1802083382910104e-19 | 2.3357379604358276e-11 |
| 0.0ms | -7.523452720108434e-168 | -2.2588578009190193e-230 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1802083382910104e-19 | 2.3357379604358276e-11 |
| 0.0ms | -5.025517e-317 | 0.0 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.635e-320 | 1.1037339819815524e-279 |
| 0.0ms | -5.025517e-317 | 0.0 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -5.025517e-317 | 0.0 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.635e-320 | 1.1037339819815524e-279 |
| 0.0ms | -5.025517e-317 | 0.0 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.635e-320 | 1.1037339819815524e-279 |
| 0.0ms | -5.025517e-317 | 0.0 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.635e-320 | 1.1037339819815524e-279 |
| 0.0ms | -7.523452720108434e-168 | -2.2588578009190193e-230 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0005265642864680361 | +inf |
| 0.0ms | -7.523452720108434e-168 | -2.2588578009190193e-230 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0005265642864680361 | +inf |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0005265642864680361 | +inf |
| 0.0ms | -7.523452720108434e-168 | -2.2588578009190193e-230 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -7.523452720108434e-168 | -2.2588578009190193e-230 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | egg-herbie |
| 46× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 598 |
| 1 | 113 | 598 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (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)) x) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5415370496329717/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304 binary64)) (*.f64 y (/.f64 (sin.f64 x) x)) (sinh.f64 y))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5311379928167671/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256 binary64)) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (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)) x) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1265/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) (*.f64 (/.f64 y x) x) (sinh.f64 y))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5311379928167671/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256 binary64)) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (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)) x) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 2076918743413931/10384593717069655257060992658440192 binary64)) (*.f64 (/.f64 y x) x) (/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) y) y (*.f64 x #s(literal 1/6 binary64)))) x)) x))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -10120113/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 2076918743413931/10384593717069655257060992658440192 binary64)) (*.f64 (/.f64 y x) x) (/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) y) y (*.f64 x #s(literal 1/6 binary64)))) x)) x))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -10120113/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1265/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) (*.f64 (/.f64 y x) x) (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))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -10120113/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) (*.f64 x (/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -10120113/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1265/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) (*.f64 (/.f64 y x) x) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -10120113/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1265/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) (*.f64 (/.f64 y x) x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5311379928167671/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256 binary64)) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1265/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) (*.f64 (/.f64 y x) x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5311379928167671/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256 binary64)) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 (/.f64 y x) x) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5311379928167671/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1152921504606847/1152921504606846976 binary64)) y (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5311379928167671/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) y) |
y |
| Outputs |
|---|
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (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)) x) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 5415370496329717/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304 binary64)) (*.f64 y (/.f64 (sin.f64 x) x)) (sinh.f64 y))) |
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -inf.0 binary64)) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (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)) x) (if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 5415370496329717/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304 binary64)) (*.f64 y (/.f64 (sin.f64 x) x)) (sinh.f64 y))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5311379928167671/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256 binary64)) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (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)) x) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1265/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) (*.f64 (/.f64 y x) x) (sinh.f64 y))) |
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -5311379928167671/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256 binary64)) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (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)) x) (if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 1265/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) (*.f64 x (/.f64 y x)) (sinh.f64 y))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5311379928167671/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256 binary64)) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (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)) x) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 2076918743413931/10384593717069655257060992658440192 binary64)) (*.f64 (/.f64 y x) x) (/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) y) y (*.f64 x #s(literal 1/6 binary64)))) x)) x))) |
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -5311379928167671/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256 binary64)) (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (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)) x) (if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 2076918743413931/10384593717069655257060992658440192 binary64)) (*.f64 x (/.f64 y x)) (/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) y (*.f64 x #s(literal 1/6 binary64)))) x)) x))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -10120113/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 2076918743413931/10384593717069655257060992658440192 binary64)) (*.f64 (/.f64 y x) x) (/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) y) y (*.f64 x #s(literal 1/6 binary64)))) x)) x))) |
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -10120113/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) (if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 2076918743413931/10384593717069655257060992658440192 binary64)) (*.f64 x (/.f64 y x)) (/.f64 (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) y (*.f64 x #s(literal 1/6 binary64)))) x)) x))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -10120113/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1265/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) (*.f64 (/.f64 y x) x) (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))) |
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -10120113/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) (if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 1265/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) (*.f64 x (/.f64 y x)) (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))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -10120113/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) (*.f64 x (/.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) x))) |
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -10120113/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) (*.f64 x (/.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) x))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -10120113/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1265/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) (*.f64 (/.f64 y x) x) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) |
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -10120113/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) (if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 1265/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) (*.f64 x (/.f64 y x)) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -10120113/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1265/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) (*.f64 (/.f64 y x) x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) |
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -10120113/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) (if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 1265/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) (*.f64 x (/.f64 y x)) (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5311379928167671/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256 binary64)) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1265/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) (*.f64 (/.f64 y x) x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y))) |
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -5311379928167671/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256 binary64)) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 1265/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) (*.f64 x (/.f64 y x)) (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5311379928167671/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256 binary64)) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 (/.f64 y x) x) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -5311379928167671/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256 binary64)) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 x (/.f64 y x)) (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5311379928167671/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1152921504606847/1152921504606846976 binary64)) y (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -5311379928167671/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) (if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 1152921504606847/1152921504606846976 binary64)) y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5311379928167671/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) y) |
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -5311379928167671/1062275985633534197379176413104937254659186235454063846398888276400807119721704485478325004530458571337778658972493002030693158675305414478819039957533174703887662541670786438063456256 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) y) |
y |
| 23 804× | accelerator-lowering-fma.f32 |
| 23 804× | accelerator-lowering-fma.f64 |
| 18 586× | accelerator-lowering-fma.f32 |
| 18 586× | accelerator-lowering-fma.f64 |
| 15 192× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 226 | 3034 |
| 1 | 787 | 2862 |
| 2 | 2745 | 2752 |
| 3 | 6707 | 2752 |
| 0 | 8515 | 2623 |
| 0 | 6 | 16 |
| 1 | 23 | 16 |
| 2 | 113 | 16 |
| 3 | 835 | 16 |
| 0 | 8221 | 16 |
| 0 | 133 | 2424 |
| 1 | 402 | 2318 |
| 2 | 1279 | 2210 |
| 3 | 2968 | 2166 |
| 4 | 5985 | 2166 |
| 0 | 8311 | 2022 |
| 0 | 113 | 944 |
| 1 | 373 | 889 |
| 2 | 1229 | 849 |
| 3 | 3047 | 828 |
| 0 | 8158 | 792 |
| 0 | 19 | 81 |
| 1 | 85 | 75 |
| 2 | 524 | 73 |
| 3 | 5838 | 73 |
| 0 | 8265 | 70 |
| 0 | 19 | 97 |
| 1 | 102 | 83 |
| 2 | 777 | 83 |
| 0 | 8761 | 75 |
| 0 | 133 | 2170 |
| 1 | 472 | 2100 |
| 2 | 1728 | 1998 |
| 3 | 4732 | 1796 |
| 0 | 8374 | 1649 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 573 to 690 computations (56.1% saved)
(abs x)
Compiled 1 590 to 366 computations (77% saved)
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