
Time bar (total: 14.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 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)
| 619.0ms | 8 256× | 0 | valid |
ival-sin: 217.0ms (56.9% of total)ival-div: 57.0ms (15% of total)ival-mult: 51.0ms (13.4% of total)ival-sinh: 47.0ms (12.3% of total)ival-true: 5.0ms (1.3% of total)ival-assert: 3.0ms (0.8% of total)| 2× | egg-herbie |
| 2 532× | accelerator-lowering-fma.f32 |
| 2 532× | accelerator-lowering-fma.f64 |
| 1 668× | *-lowering-*.f32 |
| 1 668× | *-lowering-*.f64 |
| 990× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 44 |
| 1 | 65 | 44 |
| 2 | 200 | 44 |
| 3 | 716 | 44 |
| 4 | 2292 | 44 |
| 5 | 4992 | 44 |
| 6 | 7091 | 44 |
| 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)) |
| Inputs |
|---|
(/ (* (sin x) (sinh y)) x) |
(/ (* (sin (neg x)) (sinh y)) (neg x)) |
(/ (* (sin x) (sinh (neg y))) x) |
(neg (/ (* (sin (neg x)) (sinh y)) (neg x))) |
(neg (/ (* (sin x) (sinh (neg y))) x)) |
(/ (* (sin y) (sinh x)) y) |
| Outputs |
|---|
(/ (* (sin x) (sinh y)) x) |
(* (sin x) (/ (sinh y) x)) |
(/ (* (sin (neg x)) (sinh y)) (neg x)) |
(* (sin x) (/ (sinh y) x)) |
(/ (* (sin x) (sinh (neg y))) x) |
(* (sin x) (/ (sinh y) (neg x))) |
(neg (/ (* (sin (neg x)) (sinh y)) (neg x))) |
(* (sin x) (/ (sinh y) (neg x))) |
(neg (/ (* (sin x) (sinh (neg y))) x)) |
(* (sin x) (/ (sinh y) x)) |
(/ (* (sin y) (sinh x)) y) |
(* (sin y) (/ (sinh x) y)) |
(abs x)
(negabs y)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 30 | 0 | - | 3 | (1.193683560505525e-68 2.9679496920108976e-254) | (/.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 | 27 | 0 |
| ↳ | (*.f64 (sin.f64 x) (sinh.f64 y)) | underflow | 27 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 27 | 3 |
| - | 0 | 226 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 27 | 0 | 3 |
| - | 0 | 0 | 226 |
| number | freq |
|---|---|
| 0 | 229 |
| 1 | 27 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 37.0ms | 512× | 0 | valid |
Compiled 58 to 28 computations (51.7% saved)
ival-sin: 14.0ms (59.6% of total)ival-div: 3.0ms (12.8% of total)ival-mult: 3.0ms (12.8% of total)ival-sinh: 3.0ms (12.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 89.6% | (/.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% | (sin.f64 x) |
| ✓ | accuracy | 100.0% | (sinh.f64 y) |
| ✓ | accuracy | 99.8% | (*.f64 (sin.f64 x) (sinh.f64 y)) |
| ✓ | accuracy | 89.6% | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 277.0ms | 256× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-sin: 7.0ms (61.1% of total)ival-div: 2.0ms (17.4% of total)ival-mult: 2.0ms (17.4% of total)ival-sinh: 1.0ms (8.7% 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) |
| 1.0ms | 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)) |
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(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 y)) (sinh.f64 y)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 y))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 y #s(literal 3 binary64))) (exp.f64 (*.f64 y #s(literal -3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 y y)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 y) y)))))) |
(*.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)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 555 | 12 | 567 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 556 | 12 | 568 |
| Status | Accuracy | Program |
|---|---|---|
| 48.0% | (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (sinh.f64 y)) x) | |
| 82.5% | (/.f64 (*.f64 (sin.f64 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) | |
| ▶ | 44.2% | (/.f64 (*.f64 (sin.f64 x) y) x) |
| ▶ | 80.5% | (/.f64 (*.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)))) x) |
| ▶ | 75.4% | (/.f64 (*.f64 y (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x) |
| 52.1% | (/.f64 (*.f64 x (sinh.f64 y)) x) | |
| 99.5% | (/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) | |
| ▶ | 99.9% | (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
| 99.2% | (*.f64 (/.f64 (sin.f64 x) (*.f64 x (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) #s(literal 1/2 binary64)) | |
| 85.8% | (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) | |
| 89.5% | (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sin.f64 x) (sinh.f64 y))) | |
| ▶ | 54.6% | (*.f64 y (/.f64 (sin.f64 x) x)) |
Compiled 312 to 196 computations (37.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 y (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (*.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)))) x) |
| ✓ | cost-diff | 0 | (sin.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 y (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 y (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) 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 | (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)) |
| 7 058× | accelerator-lowering-fma.f32 |
| 7 058× | accelerator-lowering-fma.f64 |
| 4 140× | *-lowering-*.f32 |
| 4 140× | *-lowering-*.f64 |
| 1 574× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 184 |
| 1 | 82 | 184 |
| 2 | 233 | 184 |
| 3 | 639 | 176 |
| 4 | 1334 | 176 |
| 5 | 1924 | 176 |
| 6 | 3578 | 176 |
| 7 | 5827 | 176 |
| 8 | 7200 | 176 |
| 0 | 8136 | 163 |
| 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 |
(/ (* (sin x) y) x) |
(* (sin x) y) |
(sin x) |
x |
y |
(/ (* y (* (sin x) (+ (* y (* y 1/6)) 1))) x) |
(* y (* (sin x) (+ (* y (* y 1/6)) 1))) |
y |
(* (sin x) (+ (* y (* y 1/6)) 1)) |
(sin x) |
x |
(+ (* y (* y 1/6)) 1) |
(* y 1/6) |
1/6 |
1 |
(/ (* y (* (sin x) (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1))) x) |
(* y (* (sin x) (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1))) |
y |
(* (sin x) (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1)) |
(sin x) |
x |
(+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1) |
(* y y) |
(+ (* y (* y 1/120)) 1/6) |
(* y 1/120) |
1/120 |
1/6 |
1 |
| Outputs |
|---|
(* (/ (sinh y) x) (sin x)) |
(/.f64 (*.f64 (sinh.f64 y) (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 (*.f64 y (sin.f64 x)) x) |
y |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(sin x) |
(sin.f64 x) |
x |
(/ (* (sin x) y) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(* (sin x) y) |
(*.f64 y (sin.f64 x)) |
(sin x) |
(sin.f64 x) |
x |
y |
(/ (* y (* (sin x) (+ (* y (* y 1/6)) 1))) x) |
(/.f64 (*.f64 y (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x) |
(* y (* (sin x) (+ (* y (* y 1/6)) 1))) |
(*.f64 y (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
y |
(* (sin x) (+ (* y (* y 1/6)) 1)) |
(*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(sin x) |
(sin.f64 x) |
x |
(+ (* y (* y 1/6)) 1) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* y 1/6) |
(*.f64 y #s(literal 1/6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
1 |
#s(literal 1 binary64) |
(/ (* y (* (sin x) (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1))) x) |
(*.f64 (sin.f64 x) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 y x))) |
(* y (* (sin x) (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1))) |
(*.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) (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1)) |
(*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(sin x) |
(sin.f64 x) |
x |
(+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* y y) |
(*.f64 y y) |
(+ (* y (* y 1/120)) 1/6) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* y 1/120) |
(*.f64 y #s(literal 1/120 binary64)) |
1/120 |
#s(literal 1/120 binary64) |
1/6 |
#s(literal 1/6 binary64) |
1 |
#s(literal 1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 y #s(literal 1/120 binary64)) |
| ✓ | accuracy | 99.8% | (*.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)))) |
| ✓ | accuracy | 97.4% | (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 87.4% | (/.f64 (*.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)))) x) |
| ✓ | accuracy | 99.8% | (*.f64 y (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
| ✓ | accuracy | 99.5% | (*.f64 y #s(literal 1/6 binary64)) |
| ✓ | accuracy | 94.8% | (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 87.3% | (/.f64 (*.f64 y (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x) |
| ✓ | accuracy | 100.0% | (sin.f64 x) |
| ✓ | accuracy | 99.7% | (*.f64 (sin.f64 x) y) |
| ✓ | accuracy | 89.5% | (/.f64 (*.f64 (sin.f64 x) y) x) |
| ✓ | accuracy | 100.0% | (sin.f64 x) |
| ✓ | accuracy | 99.8% | (*.f64 y (/.f64 (sin.f64 x) x)) |
| ✓ | accuracy | 99.7% | (/.f64 (sin.f64 x) x) |
| ✓ | accuracy | 100.0% | (sin.f64 x) |
| ✓ | accuracy | 100.0% | (sinh.f64 y) |
| ✓ | accuracy | 100.0% | (/.f64 (sinh.f64 y) x) |
| ✓ | accuracy | 99.9% | (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
| 159.0ms | 256× | 0 | valid |
Compiled 173 to 30 computations (82.7% saved)
ival-div: 46.0ms (38.7% of total)const: 44.0ms (37% of total)ival-mult: 17.0ms (14.3% of total)ival-sin: 7.0ms (5.9% of total)ival-add: 3.0ms (2.5% of total)ival-sinh: 2.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 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 (/ (* (sin x) y) x)> |
#<alt (* (sin x) y)> |
#<alt (/ (* y (* (sin x) (+ (* y (* y 1/6)) 1))) x)> |
#<alt (* y (* (sin x) (+ (* y (* y 1/6)) 1)))> |
#<alt (* (sin x) (+ (* y (* y 1/6)) 1))> |
#<alt (/ (* y (* (sin x) (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1))) x)> |
#<alt (* y (* (sin x) (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1)))> |
#<alt (* (sin x) (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1))> |
#<alt (* y 1/6)> |
#<alt (* y 1/120)> |
| 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 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 (/ (* y (sin x)) x)> |
#<alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))> |
#<alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))> |
#<alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))> |
#<alt (* 1/6 (/ (* (pow y 3) (sin x)) x))> |
#<alt (* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2)))))> |
#<alt (* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2)))))> |
#<alt (* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2)))))> |
#<alt (* 1/6 (/ (* (pow y 3) (sin x)) x))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x)))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x)))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x)))))> |
#<alt (* y (+ 1 (* 1/6 (pow y 2))))> |
#<alt (+ (* -1/6 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* y (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))))))> |
#<alt (+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* 1/120 (* y (+ 1 (* 1/6 (pow y 2))))))))))> |
#<alt (/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x)> |
#<alt (/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x)> |
#<alt (/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x)> |
#<alt (/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x)> |
#<alt (/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x)> |
#<alt (/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x)> |
#<alt (/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x)> |
#<alt (/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x)> |
#<alt (* y (sin x))> |
#<alt (* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))> |
#<alt (* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))> |
#<alt (* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x)))))> |
#<alt (* 1/6 (* (pow y 3) (sin x)))> |
#<alt (* (pow y 3) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2))))> |
#<alt (* (pow y 3) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2))))> |
#<alt (* (pow y 3) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2))))> |
#<alt (* 1/6 (* (pow y 3) (sin x)))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (pow y 2))) (* -1/6 (sin x)))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (pow y 2))) (* -1/6 (sin x)))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (pow y 2))) (* -1/6 (sin x)))))> |
#<alt (* x (* y (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (* x (+ (* -1/6 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* y (+ 1 (* 1/6 (pow y 2))))))> |
#<alt (* x (+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2))))))))))> |
#<alt (* x (+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* 1/120 (* y (+ 1 (* 1/6 (pow y 2)))))))))))> |
#<alt (* y (* (sin x) (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (* y (* (sin x) (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (* y (* (sin x) (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (* y (* (sin x) (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (* y (* (sin x) (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (* y (* (sin x) (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (* y (* (sin x) (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (* y (* (sin x) (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (* x (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2)))))> |
#<alt (* x (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* 1/120 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))))))))> |
#<alt (* x (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (+ 1 (* 1/6 (pow y 2)))))))))))> |
#<alt (* (sin x) (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* (sin x) (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* (sin x) (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* (sin x) (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* (sin x) (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* (sin x) (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* (sin x) (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* (sin x) (+ 1 (* 1/6 (pow y 2))))> |
#<alt (sin x)> |
#<alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))> |
#<alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))> |
#<alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))> |
#<alt (* 1/6 (* (pow y 2) (sin x)))> |
#<alt (* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2))))> |
#<alt (* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2))))> |
#<alt (* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2))))> |
#<alt (* 1/6 (* (pow y 2) (sin x)))> |
#<alt (* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2))))> |
#<alt (* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2))))> |
#<alt (* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2))))> |
#<alt (/ (* 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) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)))> |
#<alt (* 1/120 (/ (* (pow y 5) (sin x)) x))> |
#<alt (* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))> |
#<alt (* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))> |
#<alt (* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))> |
#<alt (* 1/120 (/ (* (pow y 5) (sin x)) x))> |
#<alt (* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))> |
#<alt (* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))))> |
#<alt (* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))))> |
#<alt (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))> |
#<alt (+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))> |
#<alt (+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))))> |
#<alt (/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)> |
#<alt (/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)> |
#<alt (/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)> |
#<alt (/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)> |
#<alt (/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)> |
#<alt (/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)> |
#<alt (/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)> |
#<alt (/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x)> |
#<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) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))))> |
#<alt (* 1/120 (* (pow y 5) (sin x)))> |
#<alt (* (pow y 5) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2)))))> |
#<alt (* (pow y 5) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4)))))> |
#<alt (* (pow y 5) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4)))))> |
#<alt (* 1/120 (* (pow y 5) (sin x)))> |
#<alt (* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x)))))> |
#<alt (* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (pow y 4))) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x))))))> |
#<alt (* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (pow y 4))) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x))))))> |
#<alt (* x (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))> |
#<alt (* x (+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))> |
#<alt (* x (+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))))> |
#<alt (* x (+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))))> |
#<alt (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))> |
#<alt (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))> |
#<alt (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))> |
#<alt (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))> |
#<alt (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))> |
#<alt (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))> |
#<alt (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))> |
#<alt (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))> |
#<alt (* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))> |
#<alt (* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))> |
#<alt (* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))> |
#<alt (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (sin x)> |
#<alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))> |
#<alt (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))> |
#<alt (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))> |
#<alt (* 1/120 (* (pow y 4) (sin x)))> |
#<alt (* (pow y 4) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2)))))> |
#<alt (* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4)))))> |
#<alt (* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4)))))> |
#<alt (* 1/120 (* (pow y 4) (sin x)))> |
#<alt (* (pow y 4) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2)))))> |
#<alt (* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4)))))> |
#<alt (* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4)))))> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
81 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 44.0ms | x | @ | inf | (/ (* y (* (sin x) (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1))) x) |
| 4.0ms | y | @ | 0 | (/ (* y (* (sin x) (+ (* y (* y 1/6)) 1))) x) |
| 1.0ms | x | @ | -inf | (/ (* y (* (sin x) (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1))) x) |
| 1.0ms | x | @ | inf | (/ (* y (* (sin x) (+ (* y (* y 1/6)) 1))) x) |
| 1.0ms | x | @ | -inf | (/ (* y (* (sin x) (+ (* y (* y 1/6)) 1))) x) |
| 1× | batch-egg-rewrite |
| 10 106× | accelerator-lowering-fma.f32 |
| 10 106× | accelerator-lowering-fma.f64 |
| 6 194× | *-lowering-*.f32 |
| 6 194× | *-lowering-*.f64 |
| 3 346× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 131 |
| 1 | 149 | 131 |
| 2 | 1028 | 123 |
| 0 | 8464 | 114 |
| 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) |
(/ (* (sin x) y) x) |
(* (sin x) y) |
(/ (* y (* (sin x) (+ (* y (* y 1/6)) 1))) x) |
(* y (* (sin x) (+ (* y (* y 1/6)) 1))) |
(* (sin x) (+ (* y (* y 1/6)) 1)) |
(/ (* y (* (sin x) (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1))) x) |
(* y (* (sin x) (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1))) |
(* (sin x) (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1)) |
(* y 1/6) |
(* y 1/120) |
| Outputs |
|---|
(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 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) (/.f64 x (sin.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (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 #s(literal 2 binary64) (sinh.f64 y)) (*.f64 #s(literal 2 binary64) (/.f64 x (sin.f64 x)))) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) (neg.f64 x))) |
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) (neg.f64 (/.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 (*.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)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (/.f64 x (sin.f64 x))))) |
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(*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))) |
(*.f64 (*.f64 (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))))) |
(*.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))) #s(literal 1 binary64)) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))))) |
(*.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))) #s(literal 1 binary64)) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))) #s(literal 1 binary64)) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))) #s(literal -1 binary64)) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 y #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) y) |
(*.f64 (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 y #s(literal 1/120 binary64)) |
(*.f64 #s(literal 1/120 binary64) y) |
| 1× | egg-herbie |
| 21 458× | accelerator-lowering-fma.f32 |
| 21 458× | accelerator-lowering-fma.f64 |
| 5 892× | *-lowering-*.f32 |
| 5 892× | *-lowering-*.f64 |
| 5 840× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 301 | 4358 |
| 1 | 1101 | 3926 |
| 2 | 4245 | 3674 |
| 0 | 8288 | 3420 |
| 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) |
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)) |
(/ (* y (sin x)) x) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2))))) |
(* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2))))) |
(* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2))))) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x))))) |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* y (+ 1 (* 1/6 (pow y 2))))) |
(+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2))))))))) |
(+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* 1/120 (* y (+ 1 (* 1/6 (pow y 2)))))))))) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(* y (sin x)) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(* 1/6 (* (pow y 3) (sin x))) |
(* (pow y 3) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* (pow y 3) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* (pow y 3) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* 1/6 (* (pow y 3) (sin x))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (pow y 2))) (* -1/6 (sin x))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (pow y 2))) (* -1/6 (sin x))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (pow y 2))) (* -1/6 (sin x))))) |
(* x (* y (+ 1 (* 1/6 (pow y 2))))) |
(* x (+ (* -1/6 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* y (+ 1 (* 1/6 (pow y 2)))))) |
(* x (+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))))))) |
(* x (+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* 1/120 (* y (+ 1 (* 1/6 (pow y 2))))))))))) |
(* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) |
(* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) |
(* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) |
(* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) |
(* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) |
(* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) |
(* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) |
(* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))) |
(* x (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* 1/120 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))))))) |
(* x (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (+ 1 (* 1/6 (pow y 2))))))))))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(* 1/6 (* (pow y 2) (sin x))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* 1/6 (* (pow y 2) (sin x))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(/ (* 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) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(* 1/120 (/ (* (pow y 5) (sin x)) x)) |
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2)))))) |
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(* 1/120 (/ (* (pow y 5) (sin x)) x)) |
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))) |
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))) |
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))) |
(+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))) |
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x) |
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x) |
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x) |
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x) |
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x) |
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x) |
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x) |
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x) |
(* 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) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))) |
(* 1/120 (* (pow y 5) (sin x))) |
(* (pow y 5) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2))))) |
(* (pow y 5) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4))))) |
(* (pow y 5) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4))))) |
(* 1/120 (* (pow y 5) (sin x))) |
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x))))) |
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (pow y 4))) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x)))))) |
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (pow y 4))) (+ (* -1/6 (/ (sin x) (pow y 2))) (* -1/120 (sin x)))))) |
(* x (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* x (+ (* -1/6 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) |
(* x (+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))))) |
(* x (+ (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))) (* 1/120 (* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))))))) |
(* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* x (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* x (+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(* 1/120 (* (pow y 4) (sin x))) |
(* (pow y 4) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2))))) |
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4))))) |
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4))))) |
(* 1/120 (* (pow y 4) (sin x))) |
(* (pow y 4) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2))))) |
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4))))) |
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4))))) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
| Outputs |
|---|
(/ (* y (sin x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(*.f64 y (fma.f64 y (*.f64 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 (/.f64 (*.f64 y (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 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 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 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal -1/12 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 x (*.f64 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 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 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 (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)) (*.f64 y (*.f64 y 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 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (*.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 (*.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) |
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(*.f64 (sin.f64 x) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(*.f64 (sin.f64 x) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(*.f64 (sin.f64 x) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(*.f64 (sin.f64 x) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(*.f64 (sin.f64 x) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(sin x) |
(sin.f64 x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(*.f64 (sin.f64 x) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x))))) |
(*.f64 (sin.f64 x) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(* 1/120 (* (pow y 4) (sin x))) |
(*.f64 (sin.f64 x) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))) |
(* (pow y 4) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2))))) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (sin.f64 x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4))))) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (fma.f64 (sin.f64 x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (/.f64 (sin.f64 x) (*.f64 (*.f64 y y) (*.f64 y y))))) |
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4))))) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (fma.f64 (sin.f64 x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (/.f64 (sin.f64 x) (*.f64 (*.f64 y y) (*.f64 y y))))) |
(* 1/120 (* (pow y 4) (sin x))) |
(*.f64 (sin.f64 x) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))) |
(* (pow y 4) (+ (* 1/120 (sin x)) (* 1/6 (/ (sin x) (pow y 2))))) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (sin.f64 x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4))))) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (fma.f64 (sin.f64 x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (/.f64 (sin.f64 x) (*.f64 (*.f64 y y) (*.f64 y y))))) |
(* (pow y 4) (+ (* 1/120 (sin x)) (+ (* 1/6 (/ (sin x) (pow y 2))) (/ (sin x) (pow y 4))))) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (fma.f64 (sin.f64 x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (/.f64 (sin.f64 x) (*.f64 (*.f64 y y) (*.f64 y y))))) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
(* 1/120 y) |
(*.f64 y #s(literal 1/120 binary64)) |
Compiled 23 345 to 2 185 computations (90.6% saved)
33 alts after pruning (30 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 154 | 29 | 1 183 |
| Fresh | 6 | 1 | 7 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 162 | 33 | 1 195 |
| Status | Accuracy | Program |
|---|---|---|
| 55.3% | (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) | |
| 36.7% | (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) | |
| 31.4% | (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) | |
| 51.1% | (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) | |
| 22.4% | (/.f64 (*.f64 (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) y) x) | |
| 48.0% | (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (sinh.f64 y)) x) | |
| ▶ | 22.4% | (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) y) x) |
| ✓ | 44.2% | (/.f64 (*.f64 (sin.f64 x) y) x) |
| 45.7% | (/.f64 (*.f64 y (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 y y)) x)) x) | |
| 41.9% | (/.f64 (*.f64 y (*.f64 (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) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x) | |
| ▶ | 39.5% | (/.f64 (*.f64 y (*.f64 (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) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x) |
| 49.4% | (/.f64 (*.f64 y (*.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) y) y)) x) | |
| 54.2% | (/.f64 (*.f64 y (*.f64 (sin.f64 x) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) x) | |
| 45.7% | (/.f64 (*.f64 y (*.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)))) x) | |
| 22.9% | (/.f64 (*.f64 y x) x) | |
| ▶ | 99.2% | (/.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) x)) |
| 54.6% | (/.f64 y (/.f64 x (sin.f64 x))) | |
| 52.3% | (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)) | |
| 85.8% | (*.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) (/.f64 (sin.f64 x) x)) | |
| 49.3% | (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)) | |
| 46.6% | (*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) | |
| 95.0% | (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) (sin.f64 x)) | |
| ✓ | 99.9% | (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
| 74.1% | (*.f64 (/.f64 (sinh.f64 y) x) x) | |
| 66.9% | (*.f64 (/.f64 y x) (sin.f64 x)) | |
| 89.5% | (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sinh.f64 y) (sin.f64 x))) | |
| 44.2% | (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (sin.f64 x))) | |
| 84.6% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) y) | |
| 90.1% | (*.f64 (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (/.f64 y x)) | |
| ▶ | 85.7% | (*.f64 (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 y x)) |
| 32.7% | (*.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))) | |
| ✓ | 54.6% | (*.f64 y (/.f64 (sin.f64 x) x)) |
| ▶ | 26.7% | y |
Compiled 993 to 596 computations (40% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (sin.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 y x)) |
| ✓ | cost-diff | 0 | (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) |
| ✓ | cost-diff | 0 | (*.f64 (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) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 y (*.f64 (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) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 1024 | (/.f64 (*.f64 y (*.f64 (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) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) 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 #s(literal 1 binary64) (sinh.f64 y)) |
| ✓ | cost-diff | 0 | (sin.f64 x) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) x) |
| ✓ | cost-diff | 384 | (/.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) x)) |
| 8 578× | accelerator-lowering-fma.f32 |
| 8 578× | accelerator-lowering-fma.f64 |
| 4 358× | *-lowering-*.f32 |
| 4 358× | *-lowering-*.f64 |
| 2 516× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 283 |
| 1 | 106 | 265 |
| 2 | 328 | 265 |
| 3 | 1295 | 261 |
| 4 | 4337 | 261 |
| 5 | 5675 | 261 |
| 6 | 6535 | 261 |
| 7 | 7480 | 261 |
| 0 | 8026 | 234 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (sin x) (* (/ 1 (sinh y)) x)) |
(sin x) |
x |
(* (/ 1 (sinh y)) x) |
(/ 1 (sinh y)) |
1 |
(sinh y) |
y |
y |
(/ (* (+ (* 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 |
(/ (* y (* (+ (* (* x x) (* (+ (* (* x x) (+ (* (* x x) -1/5040) 1/120)) -1/6) x)) x) (+ (* y (* y 1/6)) 1))) x) |
(* y (* (+ (* (* x x) (* (+ (* (* x x) (+ (* (* x x) -1/5040) 1/120)) -1/6) x)) x) (+ (* y (* y 1/6)) 1))) |
y |
(* (+ (* (* x x) (* (+ (* (* x x) (+ (* (* x x) -1/5040) 1/120)) -1/6) x)) x) (+ (* y (* y 1/6)) 1)) |
(+ (* (* x x) (* (+ (* (* x x) (+ (* (* x x) -1/5040) 1/120)) -1/6) x)) x) |
(* x x) |
x |
(* (+ (* (* x x) (+ (* (* x x) -1/5040) 1/120)) -1/6) x) |
(+ (* (* x x) (+ (* (* x x) -1/5040) 1/120)) -1/6) |
(+ (* (* x x) -1/5040) 1/120) |
-1/5040 |
1/120 |
-1/6 |
(+ (* y (* y 1/6)) 1) |
(* y 1/6) |
1/6 |
1 |
(* (* (sin x) (+ (* y (* y 1/6)) 1)) (/ y x)) |
(* (sin x) (+ (* y (* y 1/6)) 1)) |
(sin x) |
x |
(+ (* y (* y 1/6)) 1) |
y |
(* y 1/6) |
1/6 |
1 |
(/ y x) |
| Outputs |
|---|
(/ (sin x) (* (/ 1 (sinh y)) x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(sin x) |
(sin.f64 x) |
x |
(* (/ 1 (sinh y)) x) |
(/.f64 x (sinh.f64 y)) |
(/ 1 (sinh y)) |
(/.f64 #s(literal 1 binary64) (sinh.f64 y)) |
1 |
#s(literal 1 binary64) |
(sinh y) |
(sinh.f64 y) |
y |
y |
(/ (* (+ (* x (* (* x x) -1/6)) x) y) x) |
(fma.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64))) y) |
(* (+ (* x (* (* x x) -1/6)) x) y) |
(*.f64 x (fma.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64))) y)) |
(+ (* 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 |
(/ (* y (* (+ (* (* x x) (* (+ (* (* x x) (+ (* (* x x) -1/5040) 1/120)) -1/6) x)) x) (+ (* y (* y 1/6)) 1))) x) |
(*.f64 y (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(* y (* (+ (* (* x x) (* (+ (* (* x x) (+ (* (* x x) -1/5040) 1/120)) -1/6) x)) x) (+ (* y (* y 1/6)) 1))) |
(*.f64 y (*.f64 (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
y |
(* (+ (* (* x x) (* (+ (* (* x x) (+ (* (* x x) -1/5040) 1/120)) -1/6) x)) x) (+ (* y (* y 1/6)) 1)) |
(*.f64 (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(+ (* (* x x) (* (+ (* (* x x) (+ (* (* x x) -1/5040) 1/120)) -1/6) x)) x) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x x) |
(*.f64 x x) |
x |
(* (+ (* (* x x) (+ (* (* x x) -1/5040) 1/120)) -1/6) x) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) |
(+ (* (* x x) (+ (* (* x x) -1/5040) 1/120)) -1/6) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) |
(+ (* (* x x) -1/5040) 1/120) |
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
-1/5040 |
#s(literal -1/5040 binary64) |
1/120 |
#s(literal 1/120 binary64) |
-1/6 |
#s(literal -1/6 binary64) |
(+ (* y (* y 1/6)) 1) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* y 1/6) |
(*.f64 y #s(literal 1/6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
1 |
#s(literal 1 binary64) |
(* (* (sin x) (+ (* y (* y 1/6)) 1)) (/ y x)) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 x) y)) x) |
(* (sin x) (+ (* y (* y 1/6)) 1)) |
(*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(sin x) |
(sin.f64 x) |
x |
(+ (* y (* y 1/6)) 1) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
y |
(* y 1/6) |
(*.f64 y #s(literal 1/6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
1 |
#s(literal 1 binary64) |
(/ y x) |
(/.f64 y x) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 y x)) |
| ✓ | accuracy | 99.7% | (*.f64 y #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 y #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.6% | (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
| ✓ | accuracy | 97.8% | (*.f64 y (*.f64 (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) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
| ✓ | accuracy | 88.6% | (/.f64 (*.f64 y (*.f64 (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) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x) |
| ✓ | accuracy | 100.0% | (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
| ✓ | accuracy | 96.0% | (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) y) |
| ✓ | accuracy | 81.9% | (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) y) x) |
| ✓ | accuracy | 100.0% | (sinh.f64 y) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (sinh.f64 y)) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) x) |
| ✓ | accuracy | 99.4% | (/.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) x)) |
| 71.0ms | 115× | 2 | exit |
| 40.0ms | 140× | 0 | valid |
| 3.0ms | 1× | 5 | exit |
Compiled 258 to 36 computations (86% saved)
ival-mult: 30.0ms (35.2% of total)const: 18.0ms (21.1% of total)adjust: 11.0ms (12.9% of total)ival-div: 9.0ms (10.6% of total)ival-add: 8.0ms (9.4% of total)ival-sin: 8.0ms (9.4% of total)ival-sinh: 1.0ms (1.2% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (sin x) (* (/ 1 (sinh y)) x))> |
#<alt (* (/ 1 (sinh y)) x)> |
#<alt (sin x)> |
#<alt (/ 1 (sinh y))> |
#<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) -1/6)> |
#<alt (/ (* y (* (+ (* (* x x) (* (+ (* (* x x) (+ (* (* x x) -1/5040) 1/120)) -1/6) x)) x) (+ (* y (* y 1/6)) 1))) x)> |
#<alt (* y (* (+ (* (* x x) (* (+ (* (* x x) (+ (* (* x x) -1/5040) 1/120)) -1/6) x)) x) (+ (* y (* y 1/6)) 1)))> |
#<alt (* (+ (* (* x x) (* (+ (* (* x x) (+ (* (* x x) -1/5040) 1/120)) -1/6) x)) x) (+ (* y (* y 1/6)) 1))> |
#<alt (+ (* (* x x) (* (+ (* (* x x) (+ (* (* x x) -1/5040) 1/120)) -1/6) x)) x)> |
#<alt (* (* (sin x) (+ (* y (* y 1/6)) 1)) (/ y x))> |
#<alt (* (sin x) (+ (* y (* y 1/6)) 1))> |
#<alt (+ (* y (* y 1/6)) 1)> |
#<alt (sinh y)> |
#<alt (+ (* (* x x) -1/5040) 1/120)> |
#<alt (* y 1/6)> |
| 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 (/ x y)> |
#<alt (/ (+ x (* -1/6 (* x (pow y 2)))) y)> |
#<alt (/ (+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 x) (* 1/120 x)))) (* 1/6 x)))) y)> |
#<alt (/ (+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/6 (+ (* -1/36 x) (* 1/120 x))) (+ (* -1/720 x) (* 1/5040 x))))) (+ (* -1/36 x) (* 1/120 x)))) (* 1/6 x)))) y)> |
#<alt (* 2 (/ x (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 2 (/ x (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 2 (/ x (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 2 (/ x (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 2 (/ x (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 2 (/ x (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 2 (/ x (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 2 (/ x (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 2 (/ x (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 2 (/ x (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 2 (/ x (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 2 (/ x (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 2 (/ x (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 2 (/ x (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 2 (/ x (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 2 (/ x (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 2 (/ x (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 2 (/ x (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 2 (/ x (- (exp y) (/ 1 (exp y)))))> |
#<alt (* 2 (/ 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 (/ 1 y)> |
#<alt (/ (+ 1 (* -1/6 (pow y 2))) y)> |
#<alt (/ (+ 1 (* (pow y 2) (- (* 7/360 (pow y 2)) 1/6))) y)> |
#<alt (/ (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 7/360 (* -31/15120 (pow y 2)))) 1/6))) y)> |
#<alt (/ 2 (- (exp y) (/ 1 (exp y))))> |
#<alt (/ 2 (- (exp y) (/ 1 (exp y))))> |
#<alt (/ 2 (- (exp y) (/ 1 (exp y))))> |
#<alt (/ 2 (- (exp y) (/ 1 (exp y))))> |
#<alt (/ 2 (- (exp y) (/ 1 (exp y))))> |
#<alt (/ 2 (- (exp y) (/ 1 (exp y))))> |
#<alt (/ 2 (- (exp y) (/ 1 (exp y))))> |
#<alt (/ 2 (- (exp y) (/ 1 (exp y))))> |
#<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 (* -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 (/ (* y (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) x)> |
#<alt (* y (+ 1 (+ (* 1/6 (/ (* (pow y 2) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) x)) (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))> |
#<alt (* y (+ 1 (+ (* 1/6 (/ (* (pow y 2) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) x)) (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))> |
#<alt (* y (+ 1 (+ (* 1/6 (/ (* (pow y 2) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) x)) (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))> |
#<alt (* 1/6 (/ (* (pow y 3) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) x))> |
#<alt (* (pow y 3) (+ (* 1/6 (/ (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (pow y 2)))))> |
#<alt (* (pow y 3) (+ (* 1/6 (/ (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (pow y 2)))))> |
#<alt (* (pow y 3) (+ (* 1/6 (/ (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (pow y 2)))))> |
#<alt (* 1/6 (/ (* (pow y 3) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) x))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) (pow y 2))) (* -1/6 (/ (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) (pow y 2))) (* -1/6 (/ (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) (pow y 2))) (* -1/6 (/ (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)))))> |
#<alt (* y (+ 1 (* 1/6 (pow y 2))))> |
#<alt (+ (* -1/6 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* y (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))))))> |
#<alt (+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* 1/120 (* y (+ 1 (* 1/6 (pow y 2))))))))))> |
#<alt (* -1/5040 (* (pow x 6) (* y (+ 1 (* 1/6 (pow y 2))))))> |
#<alt (* (pow x 6) (+ (* -1/5040 (* y (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 2)))))> |
#<alt (* (pow x 6) (+ (* -1/6 (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 4))) (+ (* -1/5040 (* y (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 2))))))> |
#<alt (* (pow x 6) (+ (* -1/6 (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 4))) (+ (* -1/5040 (* y (+ 1 (* 1/6 (pow y 2))))) (+ (* 1/120 (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 2))) (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 6))))))> |
#<alt (* -1/5040 (* (pow x 6) (* y (+ 1 (* 1/6 (pow y 2))))))> |
#<alt (* (pow x 6) (+ (* -1/5040 (* y (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 2)))))> |
#<alt (* (pow x 6) (+ (* -1/6 (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 4))) (+ (* -1/5040 (* y (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 2))))))> |
#<alt (* (pow x 6) (+ (* -1/6 (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 4))) (+ (* -1/5040 (* y (+ 1 (* 1/6 (pow y 2))))) (+ (* 1/120 (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 2))) (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 6))))))> |
#<alt (* y (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))> |
#<alt (* y (+ x (+ (* 1/6 (* (pow y 2) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))) (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))> |
#<alt (* y (+ x (+ (* 1/6 (* (pow y 2) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))) (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))> |
#<alt (* y (+ x (+ (* 1/6 (* (pow y 2) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))) (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))> |
#<alt (* 1/6 (* (pow y 3) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))> |
#<alt (* (pow y 3) (+ (* 1/6 (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (+ (/ x (pow y 2)) (/ (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (pow y 2)))))> |
#<alt (* (pow y 3) (+ (* 1/6 (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (+ (/ x (pow y 2)) (/ (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (pow y 2)))))> |
#<alt (* (pow y 3) (+ (* 1/6 (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (+ (/ x (pow y 2)) (/ (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (pow y 2)))))> |
#<alt (* 1/6 (* (pow y 3) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) (pow y 2))) (* -1/6 (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) (pow y 2))) (* -1/6 (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) (pow y 2))) (* -1/6 (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))))> |
#<alt (* x (* y (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (* x (+ (* -1/6 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* y (+ 1 (* 1/6 (pow y 2))))))> |
#<alt (* x (+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2))))))))))> |
#<alt (* x (+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* 1/120 (* y (+ 1 (* 1/6 (pow y 2)))))))))))> |
#<alt (* -1/5040 (* (pow x 7) (* y (+ 1 (* 1/6 (pow y 2))))))> |
#<alt (* (pow x 7) (+ (* -1/5040 (* y (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 2)))))> |
#<alt (* (pow x 7) (+ (* -1/6 (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 4))) (+ (* -1/5040 (* y (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 2))))))> |
#<alt (* (pow x 7) (+ (* -1/6 (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 4))) (+ (* -1/5040 (* y (+ 1 (* 1/6 (pow y 2))))) (+ (* 1/120 (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 2))) (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 6))))))> |
#<alt (* -1/5040 (* (pow x 7) (* y (+ 1 (* 1/6 (pow y 2))))))> |
#<alt (* -1 (* (pow x 7) (+ (* -1/120 (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 2))) (* 1/5040 (* y (+ 1 (* 1/6 (pow y 2))))))))> |
#<alt (* -1 (* (pow x 7) (+ (* -1/120 (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 2))) (+ (* 1/5040 (* y (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 4)))))))> |
#<alt (* -1 (* (pow x 7) (+ (* -1 (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 6))) (+ (* -1/120 (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 2))) (+ (* 1/5040 (* y (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 4))))))))> |
#<alt (* x (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2)))))> |
#<alt (* x (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* 1/120 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))))))))> |
#<alt (* x (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (+ 1 (* 1/6 (pow y 2)))))))))))> |
#<alt (* -1/5040 (* (pow x 7) (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (* (pow x 7) (+ (* -1/5040 (+ 1 (* 1/6 (pow y 2)))) (* 1/120 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2)))))> |
#<alt (* (pow x 7) (+ (* -1/6 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 4))) (+ (* -1/5040 (+ 1 (* 1/6 (pow y 2)))) (* 1/120 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))))))> |
#<alt (* (pow x 7) (+ (* -1/6 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 4))) (+ (* -1/5040 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/120 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/6 (/ (pow y 2) (pow x 6))) (/ 1 (pow x 6)))))))> |
#<alt (* -1/5040 (* (pow x 7) (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (* -1 (* (pow x 7) (+ (* -1/120 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (* 1/5040 (+ 1 (* 1/6 (pow y 2)))))))> |
#<alt (* -1 (* (pow x 7) (+ (* -1/120 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/5040 (+ 1 (* 1/6 (pow y 2)))) (* 1/6 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 4)))))))> |
#<alt (* -1 (* (pow x 7) (+ (* -1 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 6))) (+ (* -1/120 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/5040 (+ 1 (* 1/6 (pow y 2)))) (* 1/6 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 4))))))))> |
#<alt (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))> |
#<alt (+ x (+ (* 1/6 (* (pow y 2) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))) (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))> |
#<alt (+ x (+ (* 1/6 (* (pow y 2) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))) (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))> |
#<alt (+ x (+ (* 1/6 (* (pow y 2) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))) (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))> |
#<alt (* 1/6 (* (pow y 2) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))> |
#<alt (* (pow y 2) (+ (* 1/6 (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (+ (/ x (pow y 2)) (/ (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* 1/6 (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (+ (/ x (pow y 2)) (/ (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* 1/6 (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (+ (/ x (pow y 2)) (/ (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (pow y 2)))))> |
#<alt (* 1/6 (* (pow y 2) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))))> |
#<alt (* (pow y 2) (+ (* 1/6 (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (+ (/ x (pow y 2)) (/ (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* 1/6 (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (+ (/ x (pow y 2)) (/ (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (pow y 2)))))> |
#<alt (* (pow y 2) (+ (* 1/6 (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (+ (/ x (pow y 2)) (/ (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (pow y 2)))))> |
#<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 (* -1/5040 (pow x 7))> |
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* -1/5040 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* y (+ 1 (* 1/6 (pow y 2))))> |
#<alt (+ (* -1/6 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* y (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))))))> |
#<alt (+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* 1/120 (* y (+ 1 (* 1/6 (pow y 2))))))))))> |
#<alt (/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x)> |
#<alt (/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x)> |
#<alt (/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x)> |
#<alt (/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x)> |
#<alt (/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x)> |
#<alt (/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x)> |
#<alt (/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x)> |
#<alt (/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))> |
#<alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))> |
#<alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)))> |
#<alt (* 1/6 (/ (* (pow y 3) (sin x)) x))> |
#<alt (* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2)))))> |
#<alt (* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2)))))> |
#<alt (* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2)))))> |
#<alt (* 1/6 (/ (* (pow y 3) (sin x)) x))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x)))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x)))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x)))))> |
#<alt (* x (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2)))))> |
#<alt (* x (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* 1/120 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))))))))> |
#<alt (* x (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (+ 1 (* 1/6 (pow y 2)))))))))))> |
#<alt (* (sin x) (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* (sin x) (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* (sin x) (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* (sin x) (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* (sin x) (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* (sin x) (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* (sin x) (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* (sin x) (+ 1 (* 1/6 (pow y 2))))> |
#<alt (sin x)> |
#<alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))> |
#<alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))> |
#<alt (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))> |
#<alt (* 1/6 (* (pow y 2) (sin x)))> |
#<alt (* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2))))> |
#<alt (* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2))))> |
#<alt (* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2))))> |
#<alt (* 1/6 (* (pow y 2) (sin x)))> |
#<alt (* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2))))> |
#<alt (* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2))))> |
#<alt (* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2))))> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt 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 1/120> |
#<alt (+ 1/120 (* -1/5040 (pow x 2)))> |
#<alt (+ 1/120 (* -1/5040 (pow x 2)))> |
#<alt (+ 1/120 (* -1/5040 (pow x 2)))> |
#<alt (* -1/5040 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* -1/5040 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
#<alt (* 1/6 y)> |
81 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | y | @ | inf | (/ 1 (sinh y)) |
| 5.0ms | y | @ | inf | (/ (* (+ (* x (* (* x x) -1/6)) x) y) x) |
| 2.0ms | y | @ | 0 | (/ (* y (* (+ (* (* x x) (* (+ (* (* x x) (+ (* (* x x) -1/5040) 1/120)) -1/6) x)) x) (+ (* y (* y 1/6)) 1))) x) |
| 2.0ms | x | @ | -inf | (/ (* y (* (+ (* (* x x) (* (+ (* (* x x) (+ (* (* x x) -1/5040) 1/120)) -1/6) x)) x) (+ (* y (* y 1/6)) 1))) x) |
| 1.0ms | y | @ | 0 | (/ (* (+ (* x (* (* x x) -1/6)) x) y) x) |
| 1× | batch-egg-rewrite |
| 7 916× | accelerator-lowering-fma.f32 |
| 7 916× | accelerator-lowering-fma.f64 |
| 4 712× | *-lowering-*.f32 |
| 4 712× | *-lowering-*.f64 |
| 3 994× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 216 |
| 1 | 200 | 198 |
| 2 | 1562 | 198 |
| 0 | 8408 | 176 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (sin x) (* (/ 1 (sinh y)) x)) |
(* (/ 1 (sinh y)) x) |
(sin x) |
(/ 1 (sinh y)) |
(/ (* (+ (* x (* (* x x) -1/6)) x) y) x) |
(* (+ (* x (* (* x x) -1/6)) x) y) |
(+ (* x (* (* x x) -1/6)) x) |
(* (* x x) -1/6) |
(/ (* y (* (+ (* (* x x) (* (+ (* (* x x) (+ (* (* x x) -1/5040) 1/120)) -1/6) x)) x) (+ (* y (* y 1/6)) 1))) x) |
(* y (* (+ (* (* x x) (* (+ (* (* x x) (+ (* (* x x) -1/5040) 1/120)) -1/6) x)) x) (+ (* y (* y 1/6)) 1))) |
(* (+ (* (* x x) (* (+ (* (* x x) (+ (* (* x x) -1/5040) 1/120)) -1/6) x)) x) (+ (* y (* y 1/6)) 1)) |
(+ (* (* x x) (* (+ (* (* x x) (+ (* (* x x) -1/5040) 1/120)) -1/6) x)) x) |
(* (* (sin x) (+ (* y (* y 1/6)) 1)) (/ y x)) |
(* (sin x) (+ (* y (* y 1/6)) 1)) |
(+ (* y (* y 1/6)) 1) |
(sinh y) |
(+ (* (* x x) -1/5040) 1/120) |
(* y 1/6) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 x (sinh.f64 y)))) (*.f64 (neg.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x))) |
(neg.f64 (*.f64 (neg.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x))) |
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) (/.f64 (sin.f64 x) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (neg.f64 x)) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 #s(literal 1 binary64) (sinh.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) x) |
(/.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (/.f64 #s(literal -1 binary64) (sinh.f64 y))) |
(pow.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) #s(literal -1 binary64)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 (sinh.f64 y) (pow.f64 (/.f64 x (sin.f64 x)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))))) |
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal -1 binary64) (/.f64 x (sinh.f64 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sin.f64 x) (sinh.f64 y))) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(*.f64 (/.f64 (sinh.f64 y) x) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (sin.f64 x) (/.f64 #s(literal -1 binary64) (sinh.f64 y)))) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (/.f64 (sin.f64 x) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal -1 binary64)) x) (/.f64 (neg.f64 (sinh.f64 y)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 (sinh.f64 y)) x)) |
(*.f64 (pow.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))) #s(literal -1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 x (sinh.f64 y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sinh.f64 y))) (neg.f64 (/.f64 x (sinh.f64 y)))) |
(neg.f64 (neg.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 x (sinh.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sinh.f64 y) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sinh.f64 y)) (*.f64 x #s(literal -1 binary64)))) |
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64))))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64))) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64)))))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/604800 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))))) |
(*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/25401600 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) |
(*.f64 y #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) y) |
(*.f64 (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| 1× | egg-herbie |
| 15 888× | accelerator-lowering-fma.f32 |
| 15 888× | accelerator-lowering-fma.f64 |
| 7 148× | *-lowering-*.f32 |
| 7 148× | *-lowering-*.f64 |
| 4 904× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 376 | 5687 |
| 1 | 1308 | 5316 |
| 2 | 5070 | 4963 |
| 0 | 8593 | 4533 |
| 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)) |
(/ x y) |
(/ (+ x (* -1/6 (* x (pow y 2)))) y) |
(/ (+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 x) (* 1/120 x)))) (* 1/6 x)))) y) |
(/ (+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/6 (+ (* -1/36 x) (* 1/120 x))) (+ (* -1/720 x) (* 1/5040 x))))) (+ (* -1/36 x) (* 1/120 x)))) (* 1/6 x)))) y) |
(* 2 (/ x (- (exp y) (/ 1 (exp y))))) |
(* 2 (/ x (- (exp y) (/ 1 (exp y))))) |
(* 2 (/ x (- (exp y) (/ 1 (exp y))))) |
(* 2 (/ x (- (exp y) (/ 1 (exp y))))) |
(* 2 (/ x (- (exp y) (/ 1 (exp y))))) |
(* 2 (/ x (- (exp y) (/ 1 (exp y))))) |
(* 2 (/ x (- (exp y) (/ 1 (exp y))))) |
(* 2 (/ x (- (exp y) (/ 1 (exp y))))) |
(* 2 (/ x (- (exp y) (/ 1 (exp y))))) |
(* 2 (/ x (- (exp y) (/ 1 (exp y))))) |
(* 2 (/ x (- (exp y) (/ 1 (exp y))))) |
(* 2 (/ x (- (exp y) (/ 1 (exp y))))) |
(* 2 (/ x (- (exp y) (/ 1 (exp y))))) |
(* 2 (/ x (- (exp y) (/ 1 (exp y))))) |
(* 2 (/ x (- (exp y) (/ 1 (exp y))))) |
(* 2 (/ x (- (exp y) (/ 1 (exp y))))) |
(* 2 (/ x (- (exp y) (/ 1 (exp y))))) |
(* 2 (/ x (- (exp y) (/ 1 (exp y))))) |
(* 2 (/ x (- (exp y) (/ 1 (exp y))))) |
(* 2 (/ 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) |
(/ 1 y) |
(/ (+ 1 (* -1/6 (pow y 2))) y) |
(/ (+ 1 (* (pow y 2) (- (* 7/360 (pow y 2)) 1/6))) y) |
(/ (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 7/360 (* -31/15120 (pow y 2)))) 1/6))) y) |
(/ 2 (- (exp y) (/ 1 (exp y)))) |
(/ 2 (- (exp y) (/ 1 (exp y)))) |
(/ 2 (- (exp y) (/ 1 (exp y)))) |
(/ 2 (- (exp y) (/ 1 (exp y)))) |
(/ 2 (- (exp y) (/ 1 (exp y)))) |
(/ 2 (- (exp y) (/ 1 (exp y)))) |
(/ 2 (- (exp y) (/ 1 (exp y)))) |
(/ 2 (- (exp y) (/ 1 (exp y)))) |
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))))) |
(* -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)) |
(/ (* y (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) x) |
(* y (+ 1 (+ (* 1/6 (/ (* (pow y 2) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) x)) (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))) |
(* y (+ 1 (+ (* 1/6 (/ (* (pow y 2) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) x)) (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))) |
(* y (+ 1 (+ (* 1/6 (/ (* (pow y 2) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) x)) (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))) |
(* 1/6 (/ (* (pow y 3) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) x)) |
(* (pow y 3) (+ (* 1/6 (/ (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (pow y 2))))) |
(* (pow y 3) (+ (* 1/6 (/ (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (pow y 2))))) |
(* (pow y 3) (+ (* 1/6 (/ (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x)) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (pow y 2))))) |
(* 1/6 (/ (* (pow y 3) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) x)) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) (pow y 2))) (* -1/6 (/ (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) (pow y 2))) (* -1/6 (/ (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) (pow y 2))) (* -1/6 (/ (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) x))))) |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* y (+ 1 (* 1/6 (pow y 2))))) |
(+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2))))))))) |
(+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* 1/120 (* y (+ 1 (* 1/6 (pow y 2)))))))))) |
(* -1/5040 (* (pow x 6) (* y (+ 1 (* 1/6 (pow y 2)))))) |
(* (pow x 6) (+ (* -1/5040 (* y (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 2))))) |
(* (pow x 6) (+ (* -1/6 (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 4))) (+ (* -1/5040 (* y (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 2)))))) |
(* (pow x 6) (+ (* -1/6 (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 4))) (+ (* -1/5040 (* y (+ 1 (* 1/6 (pow y 2))))) (+ (* 1/120 (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 2))) (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 6)))))) |
(* -1/5040 (* (pow x 6) (* y (+ 1 (* 1/6 (pow y 2)))))) |
(* (pow x 6) (+ (* -1/5040 (* y (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 2))))) |
(* (pow x 6) (+ (* -1/6 (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 4))) (+ (* -1/5040 (* y (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 2)))))) |
(* (pow x 6) (+ (* -1/6 (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 4))) (+ (* -1/5040 (* y (+ 1 (* 1/6 (pow y 2))))) (+ (* 1/120 (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 2))) (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 6)))))) |
(* y (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(* y (+ x (+ (* 1/6 (* (pow y 2) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))) (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))) |
(* y (+ x (+ (* 1/6 (* (pow y 2) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))) (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))) |
(* y (+ x (+ (* 1/6 (* (pow y 2) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))) (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))) |
(* 1/6 (* (pow y 3) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))) |
(* (pow y 3) (+ (* 1/6 (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (+ (/ x (pow y 2)) (/ (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (pow y 2))))) |
(* (pow y 3) (+ (* 1/6 (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (+ (/ x (pow y 2)) (/ (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (pow y 2))))) |
(* (pow y 3) (+ (* 1/6 (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (+ (/ x (pow y 2)) (/ (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (pow y 2))))) |
(* 1/6 (* (pow y 3) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) (pow y 2))) (* -1/6 (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) (pow y 2))) (* -1/6 (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) (pow y 2))) (* -1/6 (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))) |
(* x (* y (+ 1 (* 1/6 (pow y 2))))) |
(* x (+ (* -1/6 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* y (+ 1 (* 1/6 (pow y 2)))))) |
(* x (+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))))))) |
(* x (+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* 1/120 (* y (+ 1 (* 1/6 (pow y 2))))))))))) |
(* -1/5040 (* (pow x 7) (* y (+ 1 (* 1/6 (pow y 2)))))) |
(* (pow x 7) (+ (* -1/5040 (* y (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 2))))) |
(* (pow x 7) (+ (* -1/6 (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 4))) (+ (* -1/5040 (* y (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 2)))))) |
(* (pow x 7) (+ (* -1/6 (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 4))) (+ (* -1/5040 (* y (+ 1 (* 1/6 (pow y 2))))) (+ (* 1/120 (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 2))) (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 6)))))) |
(* -1/5040 (* (pow x 7) (* y (+ 1 (* 1/6 (pow y 2)))))) |
(* -1 (* (pow x 7) (+ (* -1/120 (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 2))) (* 1/5040 (* y (+ 1 (* 1/6 (pow y 2)))))))) |
(* -1 (* (pow x 7) (+ (* -1/120 (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 2))) (+ (* 1/5040 (* y (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 4))))))) |
(* -1 (* (pow x 7) (+ (* -1 (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 6))) (+ (* -1/120 (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 2))) (+ (* 1/5040 (* y (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 4)))))))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))) |
(* x (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* 1/120 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))))))) |
(* x (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (+ 1 (* 1/6 (pow y 2))))))))))) |
(* -1/5040 (* (pow x 7) (+ 1 (* 1/6 (pow y 2))))) |
(* (pow x 7) (+ (* -1/5040 (+ 1 (* 1/6 (pow y 2)))) (* 1/120 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))))) |
(* (pow x 7) (+ (* -1/6 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 4))) (+ (* -1/5040 (+ 1 (* 1/6 (pow y 2)))) (* 1/120 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2)))))) |
(* (pow x 7) (+ (* -1/6 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 4))) (+ (* -1/5040 (+ 1 (* 1/6 (pow y 2)))) (+ (* 1/120 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/6 (/ (pow y 2) (pow x 6))) (/ 1 (pow x 6))))))) |
(* -1/5040 (* (pow x 7) (+ 1 (* 1/6 (pow y 2))))) |
(* -1 (* (pow x 7) (+ (* -1/120 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (* 1/5040 (+ 1 (* 1/6 (pow y 2))))))) |
(* -1 (* (pow x 7) (+ (* -1/120 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/5040 (+ 1 (* 1/6 (pow y 2)))) (* 1/6 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 4))))))) |
(* -1 (* (pow x 7) (+ (* -1 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 6))) (+ (* -1/120 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 2))) (+ (* 1/5040 (+ 1 (* 1/6 (pow y 2)))) (* 1/6 (/ (+ 1 (* 1/6 (pow y 2))) (pow x 4)))))))) |
(+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(+ x (+ (* 1/6 (* (pow y 2) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))) (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(+ x (+ (* 1/6 (* (pow y 2) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))) (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(+ x (+ (* 1/6 (* (pow y 2) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))) (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(* 1/6 (* (pow y 2) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))) |
(* (pow y 2) (+ (* 1/6 (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (+ (/ x (pow y 2)) (/ (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (pow y 2))))) |
(* (pow y 2) (+ (* 1/6 (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (+ (/ x (pow y 2)) (/ (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (pow y 2))))) |
(* (pow y 2) (+ (* 1/6 (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (+ (/ x (pow y 2)) (/ (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (pow y 2))))) |
(* 1/6 (* (pow y 2) (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))) |
(* (pow y 2) (+ (* 1/6 (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (+ (/ x (pow y 2)) (/ (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (pow y 2))))) |
(* (pow y 2) (+ (* 1/6 (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (+ (/ x (pow y 2)) (/ (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (pow y 2))))) |
(* (pow y 2) (+ (* 1/6 (+ x (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) (+ (/ x (pow y 2)) (/ (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) (pow y 2))))) |
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)))) |
(* -1/5040 (pow x 7)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 7)) |
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(+ (* -1/6 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* y (+ 1 (* 1/6 (pow y 2))))) |
(+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2))))))))) |
(+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (* y (+ 1 (* 1/6 (pow y 2))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (* y (+ 1 (* 1/6 (pow y 2)))))) (* 1/120 (* y (+ 1 (* 1/6 (pow y 2)))))))))) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (* (sin x) (+ 1 (* 1/6 (pow y 2))))) x) |
(/ (* y (sin x)) x) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2))))) |
(* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2))))) |
(* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2))))) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x))))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))) |
(* x (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* 1/120 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))))))) |
(* x (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (+ 1 (* 1/6 (pow y 2))))))))))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(sin x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(* 1/6 (* (pow y 2) (sin x))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* 1/6 (* (pow y 2) (sin x))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* 1/6 (pow y 2))) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
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)))) |
1/120 |
(+ 1/120 (* -1/5040 (pow x 2))) |
(+ 1/120 (* -1/5040 (pow x 2))) |
(+ 1/120 (* -1/5040 (pow x 2))) |
(* -1/5040 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* -1/5040 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
(* 1/6 y) |
| 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)))))))) |
(fma.f64 (*.f64 x 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 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.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))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x))) |
(/ (* y (sin x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(*.f64 (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 y 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 (sin.f64 x) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (*.f64 (*.f64 y y) (*.f64 (*.f64 y (/.f64 (*.f64 y (sin.f64 x)) x)) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) x))) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (* -1/6 (* x (pow y 2)))) y) |
(/.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) y) |
(/ (+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 x) (* 1/120 x)))) (* 1/6 x)))) y) |
(/.f64 (fma.f64 y (neg.f64 (*.f64 y (*.f64 x (fma.f64 #s(literal -7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))))) x) y) |
(/ (+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/6 (+ (* -1/36 x) (* 1/120 x))) (+ (* -1/720 x) (* 1/5040 x))))) (+ (* -1/36 x) (* 1/120 x)))) (* 1/6 x)))) y) |
(/.f64 (fma.f64 (*.f64 y y) (fma.f64 y (neg.f64 (*.f64 y (fma.f64 y (*.f64 y (*.f64 x #s(literal 31/15120 binary64))) (*.f64 x #s(literal -7/360 binary64))))) (*.f64 x #s(literal -1/6 binary64))) x) y) |
(* 2 (/ x (- (exp y) (/ 1 (exp y))))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 2 (/ x (- (exp y) (/ 1 (exp y))))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 2 (/ x (- (exp y) (/ 1 (exp y))))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 2 (/ x (- (exp y) (/ 1 (exp y))))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 2 (/ x (- (exp y) (/ 1 (exp y))))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 2 (/ x (- (exp y) (/ 1 (exp y))))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 2 (/ x (- (exp y) (/ 1 (exp y))))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 2 (/ x (- (exp y) (/ 1 (exp y))))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 2 (/ x (- (exp y) (/ 1 (exp y))))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 2 (/ x (- (exp y) (/ 1 (exp y))))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 2 (/ x (- (exp y) (/ 1 (exp y))))) |
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(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(*.f64 (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 y x)) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))) |
(*.f64 (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 y x)) |
(* 1/6 (/ (* (pow y 3) (sin x)) x)) |
(*.f64 (*.f64 y (/.f64 (*.f64 y (sin.f64 x)) x)) (*.f64 y #s(literal 1/6 binary64))) |
(* (pow y 3) (+ (* 1/6 (/ (sin x) x)) (/ (sin x) (* x (pow y 2))))) |
(*.f64 (*.f64 (/.f64 (sin.f64 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 (/ (sin x) x)) (/ (sin x) (* x (pow y 2))))) |
(*.f64 (*.f64 (/.f64 (sin.f64 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 (/ (sin x) x)) (/ (sin x) (* x (pow y 2))))) |
(*.f64 (*.f64 (/.f64 (sin.f64 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) (sin x)) x)) |
(*.f64 (*.f64 y (/.f64 (*.f64 y (sin.f64 x)) x)) (*.f64 y #s(literal 1/6 binary64))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x))))) |
(*.f64 (*.f64 (/.f64 (sin.f64 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 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x))))) |
(*.f64 (*.f64 (/.f64 (sin.f64 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 (/ (sin x) (* x (pow y 2)))) (* -1/6 (/ (sin x) x))))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1/6 binary64))) (neg.f64 (*.f64 y (*.f64 y y)))) |
(* x (+ 1 (* 1/6 (pow y 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 y y)) x) |
(* x (+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/6 (pow y 2))))) |
(*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(* x (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* 1/120 (* (pow x 2) (+ 1 (* 1/6 (pow y 2)))))))))) |
(fma.f64 x (fma.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 y y)) x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) x) |
(* x (+ 1 (+ (* 1/6 (pow y 2)) (* (pow x 2) (+ (* -1/6 (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* 1/6 (pow y 2))))) (* 1/120 (+ 1 (* 1/6 (pow y 2))))))))))) |
(fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) (fma.f64 (*.f64 y y) #s(literal -1/36 binary64) #s(literal -1/6 binary64))) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) x) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(* (sin x) (+ 1 (* 1/6 (pow y 2)))) |
(*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(sin x) |
(sin.f64 x) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(+ (sin x) (* 1/6 (* (pow y 2) (sin x)))) |
(*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(* 1/6 (* (pow y 2) (sin x))) |
(*.f64 (sin.f64 x) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(*.f64 (*.f64 y y) (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (/.f64 (sin.f64 x) (*.f64 y y)))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(*.f64 (*.f64 y y) (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (/.f64 (sin.f64 x) (*.f64 y y)))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(*.f64 (*.f64 y y) (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (/.f64 (sin.f64 x) (*.f64 y y)))) |
(* 1/6 (* (pow y 2) (sin x))) |
(*.f64 (sin.f64 x) (*.f64 y (*.f64 y #s(literal 1/6 binary64)))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(*.f64 (*.f64 y y) (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (/.f64 (sin.f64 x) (*.f64 y y)))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(*.f64 (*.f64 y y) (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (/.f64 (sin.f64 x) (*.f64 y y)))) |
(* (pow y 2) (+ (* 1/6 (sin x)) (/ (sin x) (pow y 2)))) |
(*.f64 (*.f64 y y) (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (/.f64 (sin.f64 x) (*.f64 y y)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* 1/6 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/6 binary64))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* 1/6 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/6 binary64))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) 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)))) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* -1/5040 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(+ 1/120 (* -1/5040 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(+ 1/120 (* -1/5040 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(* -1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* -1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
(* 1/6 y) |
(*.f64 y #s(literal 1/6 binary64)) |
Compiled 55 071 to 3 358 computations (93.9% saved)
46 alts after pruning (41 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 157 | 18 | 1 175 |
| Fresh | 2 | 23 | 25 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 162 | 46 | 1 208 |
| Status | Accuracy | Program |
|---|---|---|
| 55.3% | (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) | |
| 36.7% | (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) | |
| 43.3% | (fma.f64 y (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x)))) | |
| 31.4% | (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) | |
| 51.1% | (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) | |
| 51.1% | (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) | |
| 17.3% | (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) y (*.f64 x y)) x) | |
| 46.2% | (/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) (/.f64 x y)) | |
| 10.3% | (/.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x x)) y) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (neg.f64 x))) x) | |
| 27.9% | (/.f64 (*.f64 (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) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)))) x) | |
| 22.4% | (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x) y) x) | |
| 22.4% | (/.f64 (*.f64 (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) y) x) | |
| 48.0% | (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (sinh.f64 y)) x) | |
| 9.9% | (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) y) x) | |
| ✓ | 44.2% | (/.f64 (*.f64 (sin.f64 x) y) x) |
| 45.7% | (/.f64 (*.f64 y (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 y y)) x)) x) | |
| 41.9% | (/.f64 (*.f64 y (*.f64 (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) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x) | |
| 27.9% | (/.f64 (*.f64 y (*.f64 (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) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))) x) | |
| 49.4% | (/.f64 (*.f64 y (*.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) y) y)) x) | |
| 54.2% | (/.f64 (*.f64 y (*.f64 (sin.f64 x) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) x) | |
| 22.9% | (/.f64 (*.f64 y x) x) | |
| 94.0% | (/.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) y)) x)) | |
| 64.8% | (/.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) y) x)) | |
| ▶ | 54.6% | (/.f64 y (/.f64 x (sin.f64 x))) |
| 22.4% | (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))) | |
| 52.3% | (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)) | |
| 85.8% | (*.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) (/.f64 (sin.f64 x) x)) | |
| ▶ | 46.6% | (*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
| ▶ | 49.2% | (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
| 64.9% | (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 y y)) x) (/.f64 y x)) | |
| ▶ | 95.0% | (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) (sin.f64 x)) |
| 20.9% | (*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) (/.f64 x (/.f64 #s(literal 1 binary64) y))) | |
| ✓ | 99.9% | (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
| 74.1% | (*.f64 (/.f64 (sinh.f64 y) x) x) | |
| 66.9% | (*.f64 (/.f64 y x) (sin.f64 x)) | |
| 89.5% | (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sinh.f64 y) (sin.f64 x))) | |
| 44.2% | (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (sin.f64 x))) | |
| 84.6% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) y) | |
| 90.1% | (*.f64 (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (/.f64 y x)) | |
| ✓ | 85.7% | (*.f64 (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 y x)) |
| 27.9% | (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (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) (/.f64 #s(literal 1/6 binary64) x))) | |
| 32.7% | (*.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))) | |
| ✓ | 54.6% | (*.f64 y (/.f64 (sin.f64 x) x)) |
| ▶ | 8.4% | (*.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
| 41.1% | (*.f64 x (*.f64 x (fma.f64 y #s(literal -1/6 binary64) (/.f64 y (*.f64 x x))))) | |
| ✓ | 26.7% | y |
Compiled 1 497 to 876 computations (41.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 x (sin.f64 x)) |
| ✓ | cost-diff | 384 | (/.f64 y (/.f64 x (sin.f64 x))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
| ✓ | cost-diff | 0 | (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
| ✓ | cost-diff | 768 | (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) (sin.f64 x)) |
| 18 184× | accelerator-lowering-fma.f32 |
| 18 184× | accelerator-lowering-fma.f64 |
| 5 814× | *-lowering-*.f32 |
| 5 814× | *-lowering-*.f64 |
| 3 448× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 264 |
| 1 | 113 | 262 |
| 2 | 321 | 252 |
| 3 | 965 | 250 |
| 4 | 2528 | 250 |
| 5 | 4289 | 250 |
| 6 | 4402 | 250 |
| 7 | 4511 | 250 |
| 8 | 4713 | 250 |
| 9 | 4860 | 250 |
| 10 | 6972 | 250 |
| 11 | 7547 | 250 |
| 12 | 7732 | 250 |
| 13 | 7866 | 250 |
| 14 | 7870 | 250 |
| 15 | 7870 | 250 |
| 0 | 8425 | 227 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (+ (* (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6) (* y (* y y))) y) x) (sin x)) |
(/ (+ (* (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6) (* y (* y y))) y) x) |
(+ (* (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6) (* y (* y y))) y) |
(+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6) |
(* y y) |
y |
(+ (* (* y y) 1/5040) 1/120) |
1/5040 |
1/120 |
1/6 |
(* y (* y y)) |
x |
(sin x) |
(* y (* x (* x -1/6))) |
y |
(* x (* x -1/6)) |
x |
(* x -1/6) |
-1/6 |
(* (+ (* x (* x -1/6)) 1) (+ (* 1/6 (* y (* y y))) y)) |
(+ (* x (* x -1/6)) 1) |
x |
(* x -1/6) |
-1/6 |
1 |
(+ (* 1/6 (* y (* y y))) y) |
1/6 |
(* y (* y y)) |
y |
(* y y) |
(* (+ (* y (* 1/6 (* y y))) y) (+ (+ (* (* x x) -1/6) 1) (* (* x x) (* x (* x 1/120))))) |
(+ (* y (* 1/6 (* y y))) y) |
y |
(* 1/6 (* y y)) |
1/6 |
(* y y) |
(+ (+ (* (* x x) -1/6) 1) (* (* x x) (* x (* x 1/120)))) |
(+ (* (* x x) -1/6) 1) |
(* x x) |
x |
-1/6 |
1 |
(* (* x x) (* x (* x 1/120))) |
(* x (* x 1/120)) |
(* x 1/120) |
1/120 |
(/ y (/ x (sin x))) |
y |
(/ x (sin x)) |
x |
(sin x) |
| Outputs |
|---|
(* (/ (+ (* (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6) (* y (* y y))) y) x) (sin x)) |
(/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) (sin.f64 x)) x) |
(/ (+ (* (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6) (* y (* y y))) y) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) |
(+ (* (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6) (* y (* y y))) y) |
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* y y) |
(*.f64 y y) |
y |
(+ (* (* y y) 1/5040) 1/120) |
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
1/5040 |
#s(literal 1/5040 binary64) |
1/120 |
#s(literal 1/120 binary64) |
1/6 |
#s(literal 1/6 binary64) |
(* y (* y y)) |
(*.f64 y (*.f64 y y)) |
x |
(sin x) |
(sin.f64 x) |
(* y (* x (* x -1/6))) |
(*.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
y |
(* x (* x -1/6)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
x |
(* x -1/6) |
(*.f64 x #s(literal -1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(* (+ (* x (* x -1/6)) 1) (+ (* 1/6 (* y (* y y))) y)) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y)) |
(+ (* x (* x -1/6)) 1) |
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
x |
(* x -1/6) |
(*.f64 x #s(literal -1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
1 |
#s(literal 1 binary64) |
(+ (* 1/6 (* y (* y y))) y) |
(fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) |
1/6 |
#s(literal 1/6 binary64) |
(* y (* y y)) |
(*.f64 y (*.f64 y y)) |
y |
(* y y) |
(*.f64 y y) |
(* (+ (* y (* 1/6 (* y y))) y) (+ (+ (* (* x x) -1/6) 1) (* (* x x) (* x (* x 1/120))))) |
(*.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) y) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(+ (* 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) |
(+ (+ (* (* x x) -1/6) 1) (* (* x x) (* x (* x 1/120)))) |
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ (* (* x x) -1/6) 1) |
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(* x x) |
(*.f64 x x) |
x |
-1/6 |
#s(literal -1/6 binary64) |
1 |
#s(literal 1 binary64) |
(* (* x x) (* x (* x 1/120))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) |
(* x (* x 1/120)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(* x 1/120) |
(*.f64 #s(literal 1/120 binary64) x) |
1/120 |
#s(literal 1/120 binary64) |
(/ y (/ x (sin x))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
y |
(/ x (sin x)) |
(/.f64 x (sin.f64 x)) |
x |
(sin x) |
(sin.f64 x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 x) |
| ✓ | accuracy | 99.7% | (/.f64 x (sin.f64 x)) |
| ✓ | accuracy | 99.5% | (/.f64 y (/.f64 x (sin.f64 x))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) |
| ✓ | accuracy | 97.4% | (*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
| ✓ | accuracy | 79.4% | (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
| ✓ | accuracy | 99.9% | (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 y (*.f64 y y)) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal -1/6 binary64)) |
| ✓ | accuracy | 93.0% | (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal -1/6 binary64)) |
| ✓ | accuracy | 88.8% | (*.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
| ✓ | accuracy | 99.9% | (*.f64 y (*.f64 y y)) |
| ✓ | accuracy | 99.3% | (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) |
| ✓ | accuracy | 99.2% | (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
| ✓ | accuracy | 97.6% | (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) (sin.f64 x)) |
| 125.0ms | 256× | 0 | valid |
Compiled 261 to 40 computations (84.7% saved)
ival-div: 47.0ms (44.9% of total)ival-mult: 28.0ms (26.7% of total)const: 11.0ms (10.5% of total)ival-add: 10.0ms (9.5% of total)ival-sin: 8.0ms (7.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (/ (+ (* (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6) (* y (* y y))) y) x) (sin x))> |
#<alt (/ (+ (* (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6) (* y (* y y))) y) x)> |
#<alt (+ (* (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6) (* y (* y y))) y)> |
#<alt (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6)> |
#<alt (* y (* x (* x -1/6)))> |
#<alt (* x (* x -1/6))> |
#<alt (* x -1/6)> |
#<alt (* (+ (* x (* x -1/6)) 1) (+ (* 1/6 (* y (* y y))) y))> |
#<alt (+ (* x (* x -1/6)) 1)> |
#<alt (+ (* 1/6 (* y (* y y))) y)> |
#<alt (+ (+ (* (* x x) -1/6) 1) (* (* x x) (* x (* x 1/120))))> |
#<alt (* (+ (* y (* 1/6 (* y y))) y) (+ (+ (* (* x x) -1/6) 1) (* (* x x) (* x (* x 1/120)))))> |
#<alt (+ (* y (* 1/6 (* y y))) y)> |
#<alt (* 1/6 (* y y))> |
#<alt (/ y (/ x (sin x)))> |
#<alt (/ x (sin x))> |
#<alt (sin x)> |
#<alt (+ (* (* y y) 1/5040) 1/120)> |
#<alt (* y (* y y))> |
#<alt (* x (* x 1/120))> |
| 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 (* 1/5040 (/ (* (pow y 7) (sin x)) x))> |
#<alt (* (pow y 7) (+ (* 1/5040 (/ (sin x) x)) (* 1/120 (/ (sin x) (* x (pow y 2))))))> |
#<alt (* (pow y 7) (+ (* 1/5040 (/ (sin x) x)) (+ (* 1/120 (/ (sin x) (* x (pow y 2)))) (* 1/6 (/ (sin x) (* x (pow y 4)))))))> |
#<alt (* (pow y 7) (+ (* 1/5040 (/ (sin x) x)) (+ (* 1/120 (/ (sin x) (* x (pow y 2)))) (+ (* 1/6 (/ (sin x) (* x (pow y 4)))) (/ (sin x) (* x (pow y 6)))))))> |
#<alt (* 1/5040 (/ (* (pow y 7) (sin x)) x))> |
#<alt (* -1 (* (pow y 7) (+ (* -1/120 (/ (sin x) (* x (pow y 2)))) (* -1/5040 (/ (sin x) x)))))> |
#<alt (* -1 (* (pow y 7) (+ (* -1/6 (/ (sin x) (* x (pow y 4)))) (+ (* -1/120 (/ (sin x) (* x (pow y 2)))) (* -1/5040 (/ (sin x) x))))))> |
#<alt (* -1 (* (pow y 7) (+ (* -1 (/ (sin x) (* x (pow y 6)))) (+ (* -1/6 (/ (sin x) (* x (pow y 4)))) (+ (* -1/120 (/ (sin x) (* x (pow y 2)))) (* -1/5040 (/ (sin x) x)))))))> |
#<alt (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))> |
#<alt (+ y (+ (* -1/6 (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))> |
#<alt (+ y (+ (* (pow x 2) (+ (* -1/6 (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (* 1/120 (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))) (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))> |
#<alt (+ y (+ (* (pow x 2) (+ (* -1/6 (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* 1/120 (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))))) (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))> |
#<alt (/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) x)> |
#<alt (/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) x)> |
#<alt (/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) x)> |
#<alt (/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) x)> |
#<alt (/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) x)> |
#<alt (/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) x)> |
#<alt (/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) x)> |
#<alt (/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) 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 (* 1/5040 (/ (pow y 7) x))> |
#<alt (* (pow y 7) (+ (* 1/5040 (/ 1 x)) (* 1/120 (/ 1 (* x (pow y 2))))))> |
#<alt (* (pow y 7) (+ (/ 1/120 (* x (pow y 2))) (+ (/ 1/6 (* x (pow y 4))) (* 1/5040 (/ 1 x)))))> |
#<alt (* (pow y 7) (+ (/ 1/120 (* x (pow y 2))) (+ (* 1/5040 (/ 1 x)) (+ (* 1/6 (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 6)))))))> |
#<alt (* 1/5040 (/ (pow y 7) x))> |
#<alt (* (pow y 7) (+ (* 1/5040 (/ 1 x)) (* 1/120 (/ 1 (* x (pow y 2))))))> |
#<alt (* -1 (* (pow y 7) (- (* -1 (/ (+ (* 1/120 (/ 1 x)) (* 1/6 (/ 1 (* x (pow y 2))))) (pow y 2))) (* 1/5040 (/ 1 x)))))> |
#<alt (* -1 (* (pow y 7) (- (* -1 (/ (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))) (pow y 4))) (+ (/ 1/120 (* x (pow y 2))) (* 1/5040 (/ 1 x))))))> |
#<alt (/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x)> |
#<alt (/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x)> |
#<alt (/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x)> |
#<alt (/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x)> |
#<alt (/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x)> |
#<alt (/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x)> |
#<alt (/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x)> |
#<alt (/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x)> |
#<alt (/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x)> |
#<alt (/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x)> |
#<alt (/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x)> |
#<alt (/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) 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 (* 1/5040 (pow y 7))> |
#<alt (* (pow y 7) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))> |
#<alt (* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))> |
#<alt (* 1/5040 (pow y 7))> |
#<alt (* (pow y 7) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* -1 (* (pow y 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040)))> |
#<alt (* -1 (* (pow y 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 4))) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))))> |
#<alt 1/6> |
#<alt (+ 1/6 (* 1/120 (pow y 2)))> |
#<alt (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))> |
#<alt (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))> |
#<alt (* 1/5040 (pow y 4))> |
#<alt (* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))> |
#<alt (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))> |
#<alt (* 1/5040 (pow y 4))> |
#<alt (* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))> |
#<alt (* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2))))))> |
#<alt (* -1/6 (* (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 (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (+ 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 (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1 (* -1/6 (pow x 2))))))))> |
#<alt (* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1 (* -1/6 (pow x 2))))))))> |
#<alt (* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1 (* -1/6 (pow x 2))))))))> |
#<alt (* 1/6 (* (pow y 3) (+ 1 (* -1/6 (pow x 2)))))> |
#<alt (* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/6 (pow x 2)))) (/ 1 (pow y 2)))))> |
#<alt (* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/6 (pow x 2)))) (/ 1 (pow y 2)))))> |
#<alt (* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/6 (pow x 2)))) (/ 1 (pow y 2)))))> |
#<alt (* 1/6 (* (pow y 3) (+ 1 (* -1/6 (pow x 2)))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2))) (* -1/6 (+ 1 (* -1/6 (pow x 2)))))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2))) (* -1/6 (+ 1 (* -1/6 (pow x 2)))))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2))) (* -1/6 (+ 1 (* -1/6 (pow x 2)))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow x 2)))> |
#<alt (+ 1 (* -1/6 (pow x 2)))> |
#<alt (+ 1 (* -1/6 (pow x 2)))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt y> |
#<alt (* y (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* 1/6 (pow y 3))> |
#<alt (* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* 1/6 (pow y 3))> |
#<alt (* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))> |
#<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) (- (* 1/120 (pow x 2)) 1/6)))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4)))))> |
#<alt (* y (+ 1 (+ (* -1/6 (pow x 2)) (+ (* 1/120 (pow x 4)) (* 1/6 (* (pow y 2) (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4))))))))))> |
#<alt (* y (+ 1 (+ (* -1/6 (pow x 2)) (+ (* 1/120 (pow x 4)) (* 1/6 (* (pow y 2) (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4))))))))))> |
#<alt (* y (+ 1 (+ (* -1/6 (pow x 2)) (+ (* 1/120 (pow x 4)) (* 1/6 (* (pow y 2) (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4))))))))))> |
#<alt (* 1/6 (* (pow y 3) (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4))))))> |
#<alt (* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/120 (/ (pow x 4) (pow y 2))) (+ (* 1/6 (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4))))) (/ 1 (pow y 2))))))> |
#<alt (* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/120 (/ (pow x 4) (pow y 2))) (+ (* 1/6 (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4))))) (/ 1 (pow y 2))))))> |
#<alt (* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/120 (/ (pow x 4) (pow y 2))) (+ (* 1/6 (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4))))) (/ 1 (pow y 2))))))> |
#<alt (* 1/6 (* (pow y 3) (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4))))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4)))) (pow y 2))) (* -1/6 (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4))))))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4)))) (pow y 2))) (* -1/6 (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4))))))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4)))) (pow y 2))) (* -1/6 (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4))))))))> |
#<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 y 3)) (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* 1/120 (* (pow x 2) (+ y (* 1/6 (pow y 3)))))))))> |
#<alt (+ y (+ (* 1/6 (pow y 3)) (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* 1/120 (* (pow x 2) (+ y (* 1/6 (pow y 3)))))))))> |
#<alt (* 1/120 (* (pow x 4) (+ y (* 1/6 (pow y 3)))))> |
#<alt (* (pow x 4) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (* 1/120 (+ y (* 1/6 (pow y 3))))))> |
#<alt (* (pow x 4) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (+ (* 1/120 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 4))) (/ y (pow x 4))))))> |
#<alt (* (pow x 4) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (+ (* 1/120 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 4))) (/ y (pow x 4))))))> |
#<alt (* 1/120 (* (pow x 4) (+ y (* 1/6 (pow y 3)))))> |
#<alt (* (pow x 4) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (* 1/120 (+ y (* 1/6 (pow y 3))))))> |
#<alt (* (pow x 4) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (+ (* 1/120 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 4))) (/ y (pow x 4))))))> |
#<alt (* (pow x 4) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (+ (* 1/120 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 4))) (/ y (pow x 4))))))> |
#<alt y> |
#<alt (* y (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* 1/6 (pow y 2))))> |
#<alt (* 1/6 (pow y 3))> |
#<alt (* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* 1/6 (pow y 3))> |
#<alt (* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 3) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 3) (+ 1/6 (/ 1 (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))> |
#<alt (* 1/6 (pow y 2))> |
#<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) (+ 1/6 (* 7/360 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2)))))))> |
#<alt (/ x (sin x))> |
#<alt (/ x (sin x))> |
#<alt (/ x (sin x))> |
#<alt (/ x (sin x))> |
#<alt (/ x (sin x))> |
#<alt (/ x (sin x))> |
#<alt (/ x (sin x))> |
#<alt (/ x (sin 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 1/120> |
#<alt (+ 1/120 (* 1/5040 (pow y 2)))> |
#<alt (+ 1/120 (* 1/5040 (pow y 2)))> |
#<alt (+ 1/120 (* 1/5040 (pow y 2)))> |
#<alt (* 1/5040 (pow y 2))> |
#<alt (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* 1/5040 (pow y 2))> |
#<alt (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2)))))> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
78 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (* y (* x (* x -1/6))) |
| 2.0ms | x | @ | inf | (* (/ (+ (* (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6) (* y (* y y))) y) x) (sin x)) |
| 1.0ms | x | @ | -inf | (* (/ (+ (* (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6) (* y (* y y))) y) x) (sin x)) |
| 1.0ms | x | @ | 0 | (* (/ (+ (* (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6) (* y (* y y))) y) x) (sin x)) |
| 1.0ms | y | @ | 0 | (* (+ (* y (* 1/6 (* y y))) y) (+ (+ (* (* x x) -1/6) 1) (* (* x x) (* x (* x 1/120))))) |
| 1× | batch-egg-rewrite |
| 5 660× | accelerator-lowering-fma.f32 |
| 5 660× | accelerator-lowering-fma.f64 |
| 4 474× | *-lowering-*.f32 |
| 4 474× | *-lowering-*.f64 |
| 4 288× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 204 |
| 1 | 233 | 198 |
| 2 | 1901 | 194 |
| 0 | 8118 | 172 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (+ (* (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6) (* y (* y y))) y) x) (sin x)) |
(/ (+ (* (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6) (* y (* y y))) y) x) |
(+ (* (+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6) (* y (* y y))) y) |
(+ (* (* y y) (+ (* (* y y) 1/5040) 1/120)) 1/6) |
(* y (* x (* x -1/6))) |
(* x (* x -1/6)) |
(* x -1/6) |
(* (+ (* x (* x -1/6)) 1) (+ (* 1/6 (* y (* y y))) y)) |
(+ (* x (* x -1/6)) 1) |
(+ (* 1/6 (* y (* y y))) y) |
(+ (+ (* (* x x) -1/6) 1) (* (* x x) (* x (* x 1/120)))) |
(* (+ (* y (* 1/6 (* y y))) y) (+ (+ (* (* x x) -1/6) 1) (* (* x x) (* x (* x 1/120))))) |
(+ (* y (* 1/6 (* y y))) y) |
(* 1/6 (* y y)) |
(/ y (/ x (sin x))) |
(/ x (sin x)) |
(sin x) |
(+ (* (* y y) 1/5040) 1/120) |
(* y (* y y)) |
(* x (* x 1/120)) |
| Outputs |
|---|
(/.f64 (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (/.f64 x (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) (sin.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) (sin.f64 x))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 x) x))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (sin.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (sin.f64 x))))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (sin.f64 x))) |
(pow.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (sin.f64 x) x) #s(literal -1 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 x))) |
(*.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (sin.f64 x)))) |
(*.f64 (neg.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(*.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x)))) |
(sin.f64 x) |
(+.f64 (*.f64 y (*.f64 y #s(literal 1/5040 binary64))) #s(literal 1/120 binary64)) |
(+.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) |
(-.f64 (/.f64 #s(literal 1/14400 binary64) (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)) (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))) |
(fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 y #s(literal 1/5040 binary64)) y #s(literal 1/120 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64))))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) |
(/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/14400 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)))) (neg.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (fma.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64))))) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64)) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))) |
(*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/25401600 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal 1/5040 binary64)))))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 3 binary64))) |
(pow.f64 y #s(literal 3 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 3 binary64)) |
(*.f64 y (*.f64 y y)) |
(*.f64 (*.f64 y y) y) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) x)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(*.f64 (*.f64 #s(literal 1/120 binary64) x) x) |
| 1× | egg-herbie |
| 14 884× | accelerator-lowering-fma.f32 |
| 14 884× | accelerator-lowering-fma.f64 |
| 5 790× | *-lowering-*.f32 |
| 5 790× | *-lowering-*.f64 |
| 4 426× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 335 | 3991 |
| 1 | 1161 | 3840 |
| 2 | 4125 | 3584 |
| 0 | 8249 | 3297 |
| 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))) |
(* 1/5040 (/ (* (pow y 7) (sin x)) x)) |
(* (pow y 7) (+ (* 1/5040 (/ (sin x) x)) (* 1/120 (/ (sin x) (* x (pow y 2)))))) |
(* (pow y 7) (+ (* 1/5040 (/ (sin x) x)) (+ (* 1/120 (/ (sin x) (* x (pow y 2)))) (* 1/6 (/ (sin x) (* x (pow y 4))))))) |
(* (pow y 7) (+ (* 1/5040 (/ (sin x) x)) (+ (* 1/120 (/ (sin x) (* x (pow y 2)))) (+ (* 1/6 (/ (sin x) (* x (pow y 4)))) (/ (sin x) (* x (pow y 6))))))) |
(* 1/5040 (/ (* (pow y 7) (sin x)) x)) |
(* -1 (* (pow y 7) (+ (* -1/120 (/ (sin x) (* x (pow y 2)))) (* -1/5040 (/ (sin x) x))))) |
(* -1 (* (pow y 7) (+ (* -1/6 (/ (sin x) (* x (pow y 4)))) (+ (* -1/120 (/ (sin x) (* x (pow y 2)))) (* -1/5040 (/ (sin x) x)))))) |
(* -1 (* (pow y 7) (+ (* -1 (/ (sin x) (* x (pow y 6)))) (+ (* -1/6 (/ (sin x) (* x (pow y 4)))) (+ (* -1/120 (/ (sin x) (* x (pow y 2)))) (* -1/5040 (/ (sin x) x))))))) |
(+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(+ y (+ (* -1/6 (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(+ y (+ (* (pow x 2) (+ (* -1/6 (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (* 1/120 (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))) (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(+ y (+ (* (pow x 2) (+ (* -1/6 (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* 1/120 (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))))) (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) x) |
(/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) x) |
(/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) x) |
(/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) x) |
(/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) x) |
(/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) x) |
(/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) x) |
(/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) 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))) |
(* 1/5040 (/ (pow y 7) x)) |
(* (pow y 7) (+ (* 1/5040 (/ 1 x)) (* 1/120 (/ 1 (* x (pow y 2)))))) |
(* (pow y 7) (+ (/ 1/120 (* x (pow y 2))) (+ (/ 1/6 (* x (pow y 4))) (* 1/5040 (/ 1 x))))) |
(* (pow y 7) (+ (/ 1/120 (* x (pow y 2))) (+ (* 1/5040 (/ 1 x)) (+ (* 1/6 (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 6))))))) |
(* 1/5040 (/ (pow y 7) x)) |
(* (pow y 7) (+ (* 1/5040 (/ 1 x)) (* 1/120 (/ 1 (* x (pow y 2)))))) |
(* -1 (* (pow y 7) (- (* -1 (/ (+ (* 1/120 (/ 1 x)) (* 1/6 (/ 1 (* x (pow y 2))))) (pow y 2))) (* 1/5040 (/ 1 x))))) |
(* -1 (* (pow y 7) (- (* -1 (/ (+ (* 1/6 (/ 1 x)) (/ 1 (* x (pow y 2)))) (pow y 4))) (+ (/ 1/120 (* x (pow y 2))) (* 1/5040 (/ 1 x)))))) |
(/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x) |
(/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x) |
(/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x) |
(/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x) |
(/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x) |
(/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x) |
(/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x) |
(/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x) |
(/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x) |
(/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x) |
(/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) x) |
(/ (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) 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)))))))) |
(* 1/5040 (pow y 7)) |
(* (pow y 7) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 7) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6)))))) |
(* 1/5040 (pow y 7)) |
(* (pow y 7) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow y 2)))) (pow y 2))) 1/5040))) |
(* -1 (* (pow y 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 4))) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))))) |
1/6 |
(+ 1/6 (* 1/120 (pow y 2))) |
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) |
(+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))) |
(* 1/5040 (pow y 4)) |
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* 1/5040 (pow y 4)) |
(* (pow y 4) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* (pow y 4) (+ 1/5040 (+ (/ 1/6 (pow y 4)) (* 1/120 (/ 1 (pow y 2)))))) |
(* -1/6 (* (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)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(+ 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 (+ 1 (* -1/6 (pow x 2)))) |
(* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1 (* -1/6 (pow x 2)))))))) |
(* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1 (* -1/6 (pow x 2)))))))) |
(* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/6 (* (pow y 2) (+ 1 (* -1/6 (pow x 2)))))))) |
(* 1/6 (* (pow y 3) (+ 1 (* -1/6 (pow x 2))))) |
(* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/6 (pow x 2)))) (/ 1 (pow y 2))))) |
(* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/6 (pow x 2)))) (/ 1 (pow y 2))))) |
(* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/6 (+ 1 (* -1/6 (pow x 2)))) (/ 1 (pow y 2))))) |
(* 1/6 (* (pow y 3) (+ 1 (* -1/6 (pow x 2))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2))) (* -1/6 (+ 1 (* -1/6 (pow x 2))))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2))) (* -1/6 (+ 1 (* -1/6 (pow x 2))))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) (pow y 2))) (* -1/6 (+ 1 (* -1/6 (pow x 2))))))) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* -1/6 (pow x 2))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(* 1/6 (pow y 3)) |
(* (pow y 3) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 3) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 3) (+ 1/6 (/ 1 (pow y 2)))) |
(* 1/6 (pow y 3)) |
(* (pow y 3) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 3) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 3) (+ 1/6 (/ 1 (pow y 2)))) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/120 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))) |
(* y (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4))))) |
(* y (+ 1 (+ (* -1/6 (pow x 2)) (+ (* 1/120 (pow x 4)) (* 1/6 (* (pow y 2) (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4)))))))))) |
(* y (+ 1 (+ (* -1/6 (pow x 2)) (+ (* 1/120 (pow x 4)) (* 1/6 (* (pow y 2) (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4)))))))))) |
(* y (+ 1 (+ (* -1/6 (pow x 2)) (+ (* 1/120 (pow x 4)) (* 1/6 (* (pow y 2) (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4)))))))))) |
(* 1/6 (* (pow y 3) (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4)))))) |
(* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/120 (/ (pow x 4) (pow y 2))) (+ (* 1/6 (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4))))) (/ 1 (pow y 2)))))) |
(* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/120 (/ (pow x 4) (pow y 2))) (+ (* 1/6 (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4))))) (/ 1 (pow y 2)))))) |
(* (pow y 3) (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* 1/120 (/ (pow x 4) (pow y 2))) (+ (* 1/6 (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4))))) (/ 1 (pow y 2)))))) |
(* 1/6 (* (pow y 3) (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4)))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4)))) (pow y 2))) (* -1/6 (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4)))))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4)))) (pow y 2))) (* -1/6 (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4)))))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4)))) (pow y 2))) (* -1/6 (+ 1 (+ (* -1/6 (pow x 2)) (* 1/120 (pow x 4)))))))) |
(+ 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 y 3)) (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* 1/120 (* (pow x 2) (+ y (* 1/6 (pow y 3))))))))) |
(+ y (+ (* 1/6 (pow y 3)) (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* 1/120 (* (pow x 2) (+ y (* 1/6 (pow y 3))))))))) |
(* 1/120 (* (pow x 4) (+ y (* 1/6 (pow y 3))))) |
(* (pow x 4) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (* 1/120 (+ y (* 1/6 (pow y 3)))))) |
(* (pow x 4) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (+ (* 1/120 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 4))) (/ y (pow x 4)))))) |
(* (pow x 4) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (+ (* 1/120 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 4))) (/ y (pow x 4)))))) |
(* 1/120 (* (pow x 4) (+ y (* 1/6 (pow y 3))))) |
(* (pow x 4) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (* 1/120 (+ y (* 1/6 (pow y 3)))))) |
(* (pow x 4) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (+ (* 1/120 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 4))) (/ y (pow x 4)))))) |
(* (pow x 4) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (+ (* 1/120 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 4))) (/ y (pow x 4)))))) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(* 1/6 (pow y 3)) |
(* (pow y 3) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 3) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 3) (+ 1/6 (/ 1 (pow y 2)))) |
(* 1/6 (pow y 3)) |
(* (pow y 3) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 3) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 3) (+ 1/6 (/ 1 (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)) |
(* 1/6 (pow y 2)) |
(/ (* 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) (+ 1/6 (* 7/360 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) |
(/ x (sin x)) |
(/ x (sin x)) |
(/ x (sin x)) |
(/ x (sin x)) |
(/ x (sin x)) |
(/ x (sin x)) |
(/ x (sin x)) |
(/ x (sin 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) |
1/120 |
(+ 1/120 (* 1/5040 (pow y 2))) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(* 1/5040 (pow y 2)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* 1/5040 (pow y 2)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
| Outputs |
|---|
(/ (* y (sin x)) x) |
(/.f64 (*.f64 y (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 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x) (*.f64 (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (*.f64 y y) (*.f64 y y))))) |
(* 1/5040 (/ (* (pow y 7) (sin x)) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 7 binary64)))) |
(* (pow y 7) (+ (* 1/5040 (/ (sin x) x)) (* 1/120 (/ (sin x) (* x (pow y 2)))))) |
(*.f64 (pow.f64 y #s(literal 7 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))) |
(* (pow y 7) (+ (* 1/5040 (/ (sin x) x)) (+ (* 1/120 (/ (sin x) (* x (pow y 2)))) (* 1/6 (/ (sin x) (* x (pow y 4))))))) |
(*.f64 (pow.f64 y #s(literal 7 binary64)) (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (/.f64 (*.f64 (sin.f64 x) #s(literal 1/120 binary64)) (*.f64 x (*.f64 y y))))) |
(* (pow y 7) (+ (* 1/5040 (/ (sin x) x)) (+ (* 1/120 (/ (sin x) (* x (pow y 2)))) (+ (* 1/6 (/ (sin x) (* x (pow y 4)))) (/ (sin x) (* x (pow y 6))))))) |
(*.f64 (pow.f64 y #s(literal 7 binary64)) (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 x) (*.f64 x (*.f64 y y))) (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (/.f64 (sin.f64 x) (*.f64 x (pow.f64 y #s(literal 6 binary64))))))) |
(* 1/5040 (/ (* (pow y 7) (sin x)) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 7 binary64)))) |
(* -1 (* (pow y 7) (+ (* -1/120 (/ (sin x) (* x (pow y 2)))) (* -1/5040 (/ (sin x) x))))) |
(*.f64 (pow.f64 y #s(literal 7 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))))) |
(* -1 (* (pow y 7) (+ (* -1/6 (/ (sin x) (* x (pow y 4)))) (+ (* -1/120 (/ (sin x) (* x (pow y 2)))) (* -1/5040 (/ (sin x) x)))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (/.f64 (*.f64 (sin.f64 x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 (*.f64 y y) (*.f64 y y))))) (neg.f64 (pow.f64 y #s(literal 7 binary64)))) |
(* -1 (* (pow y 7) (+ (* -1 (/ (sin x) (* x (pow y 6)))) (+ (* -1/6 (/ (sin x) (* x (pow y 4)))) (+ (* -1/120 (/ (sin x) (* x (pow y 2)))) (* -1/5040 (/ (sin x) x))))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 x) x) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y))) (*.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64)))))) (neg.f64 (pow.f64 y #s(literal 7 binary64)))) |
(+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))) |
(fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y) |
(+ y (+ (* -1/6 (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y)) |
(+ y (+ (* (pow x 2) (+ (* -1/6 (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (* 1/120 (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))))) (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (fma.f64 (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) 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 y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2))))))))) (* 1/120 (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))))))) (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y) (*.f64 (*.f64 x x) (*.f64 (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)))))) |
(/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) x) |
(*.f64 (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y) (/.f64 (sin.f64 x) x)) |
(/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) x) |
(*.f64 (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y) (/.f64 (sin.f64 x) x)) |
(/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) x) |
(*.f64 (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y) (/.f64 (sin.f64 x) x)) |
(/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) x) |
(*.f64 (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y) (/.f64 (sin.f64 x) x)) |
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(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 y (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* (pow x 4) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (+ (* 1/120 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 4))) (/ y (pow x 4)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 y (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* 1/120 (* (pow x 4) (+ y (* 1/6 (pow y 3))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 y #s(literal 1/120 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/720 binary64)))) |
(* (pow x 4) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (* 1/120 (+ y (* 1/6 (pow y 3)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
(* (pow x 4) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (+ (* 1/120 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 4))) (/ y (pow x 4)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 y (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* (pow x 4) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (+ (* 1/120 (+ y (* 1/6 (pow y 3)))) (+ (* 1/6 (/ (pow y 3) (pow x 4))) (/ y (pow x 4)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 y (*.f64 (*.f64 x x) (*.f64 x x)))))) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(* 1/6 (pow y 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))) |
(* (pow y 3) (+ 1/6 (/ 1 (pow y 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(* (pow y 3) (+ 1/6 (/ 1 (pow y 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(* (pow y 3) (+ 1/6 (/ 1 (pow y 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(* 1/6 (pow y 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))) |
(* (pow y 3) (+ 1/6 (/ 1 (pow y 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(* (pow y 3) (+ 1/6 (/ 1 (pow y 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(* (pow y 3) (+ 1/6 (/ 1 (pow y 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y 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)) |
(* 1/6 (pow y 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 y 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 (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 (*.f64 x x) (*.f64 y #s(literal -1/6 binary64)) y) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y))))) |
(fma.f64 x (*.f64 x (*.f64 y (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 x x) (*.f64 y (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 y #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) |
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) (+ 1/6 (* 7/360 (pow x 2))))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 7/360 (* 31/15120 (pow x 2))))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(/ x (sin x)) |
(/.f64 x (sin.f64 x)) |
(/ x (sin x)) |
(/.f64 x (sin.f64 x)) |
(/ x (sin x)) |
(/.f64 x (sin.f64 x)) |
(/ x (sin x)) |
(/.f64 x (sin.f64 x)) |
(/ x (sin x)) |
(/.f64 x (sin.f64 x)) |
(/ x (sin x)) |
(/.f64 x (sin.f64 x)) |
(/ x (sin x)) |
(/.f64 x (sin.f64 x)) |
(/ x (sin x)) |
(/.f64 x (sin.f64 x)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) 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 #s(literal -1/5040 binary64) (*.f64 x x) #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) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(+ 1/120 (* 1/5040 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* 1/5040 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* 1/5040 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ 1/5040 (* 1/120 (/ 1 (pow y 2))))) |
(fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(* 1/120 (pow x 2)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(* 1/120 (pow x 2)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(* 1/120 (pow x 2)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(* 1/120 (pow x 2)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(* 1/120 (pow x 2)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(* 1/120 (pow x 2)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(* 1/120 (pow x 2)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(* 1/120 (pow x 2)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(* 1/120 (pow x 2)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(* 1/120 (pow x 2)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(* 1/120 (pow x 2)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(* 1/120 (pow x 2)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
Compiled 68 417 to 3 042 computations (95.6% saved)
51 alts after pruning (43 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 276 | 15 | 1 291 |
| Fresh | 8 | 28 | 36 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 286 | 51 | 1 337 |
| Status | Accuracy | Program |
|---|---|---|
| 55.3% | (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) | |
| 36.7% | (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) | |
| 31.4% | (fma.f64 (*.f64 x x) (*.f64 y #s(literal -1/6 binary64)) y) | |
| 43.3% | (fma.f64 y (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x)))) | |
| 56.9% | (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y) | |
| 51.1% | (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) | |
| 51.1% | (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) | |
| 17.3% | (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) y (*.f64 x y)) x) | |
| 10.3% | (/.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x x)) y) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (neg.f64 x))) x) | |
| 27.9% | (/.f64 (*.f64 (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) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)))) x) | |
| 22.4% | (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x) y) x) | |
| 48.0% | (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (sinh.f64 y)) x) | |
| 9.9% | (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) y) x) | |
| ✓ | 44.2% | (/.f64 (*.f64 (sin.f64 x) y) x) |
| 41.9% | (/.f64 (*.f64 y (*.f64 (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) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x) | |
| 27.9% | (/.f64 (*.f64 y (*.f64 (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) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))) x) | |
| 49.4% | (/.f64 (*.f64 y (*.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) y) y)) x) | |
| 54.2% | (/.f64 (*.f64 y (*.f64 (sin.f64 x) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) x) | |
| 22.9% | (/.f64 (*.f64 y x) x) | |
| 64.8% | (/.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) y) x)) | |
| 39.9% | (/.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) | |
| 40.0% | (/.f64 y (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| ✓ | 54.6% | (/.f64 y (/.f64 x (sin.f64 x))) |
| 22.4% | (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))) | |
| 92.9% | (*.f64 (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y) (/.f64 (sin.f64 x) x)) | |
| 85.8% | (*.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) (/.f64 (sin.f64 x) x)) | |
| 53.8% | (*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64))) | |
| ✓ | 49.2% | (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
| 53.9% | (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y)) | |
| 55.8% | (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) | |
| 70.7% | (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) x) | |
| 94.7% | (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) (sin.f64 x)) | |
| 94.0% | (*.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) (*.f64 y (*.f64 y y)) y) x) (sin.f64 x)) | |
| ✓ | 99.9% | (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
| 74.1% | (*.f64 (/.f64 (sinh.f64 y) x) x) | |
| 66.9% | (*.f64 (/.f64 y x) (sin.f64 x)) | |
| 89.5% | (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sinh.f64 y) (sin.f64 x))) | |
| 44.2% | (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (sin.f64 x))) | |
| 84.6% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) y) | |
| 8.4% | (*.f64 (*.f64 (*.f64 y x) x) #s(literal -1/6 binary64)) | |
| 8.4% | (*.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x) | |
| 90.1% | (*.f64 (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (/.f64 y x)) | |
| ✓ | 85.7% | (*.f64 (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 y x)) |
| 31.8% | (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) | |
| 27.9% | (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (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) (/.f64 #s(literal 1/6 binary64) x))) | |
| 32.6% | (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)))) | |
| 32.7% | (*.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))) | |
| ✓ | 54.6% | (*.f64 y (/.f64 (sin.f64 x) x)) |
| ✓ | 8.4% | (*.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
| 41.1% | (*.f64 x (*.f64 x (fma.f64 y #s(literal -1/6 binary64) (/.f64 y (*.f64 x x))))) | |
| ✓ | 26.7% | y |
Compiled 2 007 to 752 computations (62.5% saved)
| Inputs |
|---|
y |
(*.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x) |
(*.f64 (*.f64 (*.f64 y x) x) #s(literal -1/6 binary64)) |
(/.f64 (*.f64 y x) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) |
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 x x) (*.f64 y #s(literal -1/6 binary64)) y) |
(/.f64 y (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 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 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) y) x) |
(*.f64 x (*.f64 x (fma.f64 y #s(literal -1/6 binary64) (/.f64 y (*.f64 x x))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 y y)) x) (/.f64 y x)) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(*.f64 (fma.f64 y (*.f64 y #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) y) x) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x) y) x) |
(/.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) y (*.f64 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))) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) (/.f64 x y)) |
(fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y) |
(*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))) |
(/.f64 (*.f64 y (*.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)))) x) |
(/.f64 (*.f64 y (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 y y)) x)) x) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) (/.f64 x (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) x) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y)) |
(/.f64 (*.f64 (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) y) x) |
(*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 (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) (/.f64 #s(literal 1/6 binary64) x))) |
(/.f64 (*.f64 y (*.f64 (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) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))) x) |
(/.f64 (*.f64 (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) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)))) x) |
(/.f64 (*.f64 y (*.f64 (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) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x) |
(/.f64 (*.f64 y (*.f64 (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) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x) |
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x x)) y) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (neg.f64 x))) x) |
(fma.f64 y (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x)))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (/.f64 (sinh.f64 y) x) x) |
(/.f64 (*.f64 x (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 x) y) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (sin.f64 x))) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(/.f64 (*.f64 y (*.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) y) y)) x) |
(*.f64 (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) |
(*.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #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) (sinh.f64 y)) x) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) y) |
(/.f64 (*.f64 y (*.f64 (sin.f64 x) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) x) |
(*.f64 (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (/.f64 y x)) |
(/.f64 (*.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)))) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) (*.f64 y (*.f64 y y)) y) x) (sin.f64 x)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) (sin.f64 x)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) (sin.f64 x)) |
(*.f64 (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y) (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 (sin.f64 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 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) y)) x)) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sin.f64 x) (sinh.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sinh.f64 y) (sin.f64 x))) |
(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) x)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x (/.f64 #s(literal 1/2 binary64) (sinh.f64 y)))) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
4 calls:
| 23.0ms | y |
| 21.0ms | x |
| 21.0ms | (sinh.f64 y) |
| 18.0ms | (/.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 y (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x) |
(*.f64 (*.f64 (*.f64 y x) x) #s(literal -1/6 binary64)) |
(/.f64 (*.f64 y x) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) |
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 x x) (*.f64 y #s(literal -1/6 binary64)) y) |
(/.f64 y (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 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 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) y) x) |
(*.f64 x (*.f64 x (fma.f64 y #s(literal -1/6 binary64) (/.f64 y (*.f64 x x))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 y y)) x) (/.f64 y x)) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(*.f64 (fma.f64 y (*.f64 y #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) y) x) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x) y) x) |
(/.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) y (*.f64 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))) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) (/.f64 x y)) |
(fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y) |
(*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))) |
(/.f64 (*.f64 y (*.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)))) x) |
(/.f64 (*.f64 y (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 y y)) x)) x) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) (/.f64 x (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) x) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y)) |
(/.f64 (*.f64 (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) y) x) |
(*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 (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) (/.f64 #s(literal 1/6 binary64) x))) |
(/.f64 (*.f64 y (*.f64 (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) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))) x) |
(/.f64 (*.f64 (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) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)))) x) |
(/.f64 (*.f64 y (*.f64 (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) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x) |
(/.f64 (*.f64 y (*.f64 (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) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x) |
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x x)) y) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (neg.f64 x))) x) |
(fma.f64 y (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x)))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (/.f64 (sinh.f64 y) x) x) |
(/.f64 (*.f64 x (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 x) y) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (sin.f64 x))) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(/.f64 (*.f64 y (*.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) y) y)) x) |
(*.f64 (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) |
(*.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #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) (sinh.f64 y)) x) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) y) |
(/.f64 (*.f64 y (*.f64 (sin.f64 x) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) x) |
(*.f64 (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (/.f64 y x)) |
(/.f64 (*.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)))) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) (*.f64 y (*.f64 y y)) y) x) (sin.f64 x)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) (sin.f64 x)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) (sin.f64 x)) |
(*.f64 (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y) (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 (sin.f64 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 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) y)) x)) |
| Outputs |
|---|
(*.f64 (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sinh.f64 y) x) x) |
4 calls:
| 20.0ms | y |
| 19.0ms | x |
| 17.0ms | (sinh.f64 y) |
| 17.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 2 | x |
| 98.4% | 3 | y |
| 98.5% | 2 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 95.0% | 1 | (sinh.f64 y) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
y |
(*.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x) |
(*.f64 (*.f64 (*.f64 y x) x) #s(literal -1/6 binary64)) |
(/.f64 (*.f64 y x) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) |
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 x x) (*.f64 y #s(literal -1/6 binary64)) y) |
(/.f64 y (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 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 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) y) x) |
(*.f64 x (*.f64 x (fma.f64 y #s(literal -1/6 binary64) (/.f64 y (*.f64 x x))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 y y)) x) (/.f64 y x)) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(*.f64 (fma.f64 y (*.f64 y #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) y) x) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x) y) x) |
(/.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) y (*.f64 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))) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) (/.f64 x y)) |
(fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y) |
(*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))) |
(/.f64 (*.f64 y (*.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)))) x) |
(/.f64 (*.f64 y (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 y y)) x)) x) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) (/.f64 x (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) x) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y)) |
(/.f64 (*.f64 (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) y) x) |
(*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 (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) (/.f64 #s(literal 1/6 binary64) x))) |
(/.f64 (*.f64 y (*.f64 (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) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))) x) |
(/.f64 (*.f64 (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) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)))) x) |
(/.f64 (*.f64 y (*.f64 (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) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x) |
(/.f64 (*.f64 y (*.f64 (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) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x) |
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x x)) y) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (neg.f64 x))) x) |
(fma.f64 y (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x)))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (/.f64 (sinh.f64 y) x) x) |
(/.f64 (*.f64 x (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 x) y) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (sin.f64 x))) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(/.f64 (*.f64 y (*.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) y) y)) x) |
(*.f64 (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) |
(*.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #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) (sinh.f64 y)) x) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) y) |
(/.f64 (*.f64 y (*.f64 (sin.f64 x) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) x) |
(*.f64 (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (/.f64 y x)) |
(/.f64 (*.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)))) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) (*.f64 y (*.f64 y y)) y) x) (sin.f64 x)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) (sin.f64 x)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) (sin.f64 x)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) (sin.f64 x)) |
(*.f64 (/.f64 (sinh.f64 y) x) x) |
1 calls:
| 17.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 2 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
y |
(*.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x) |
(*.f64 (*.f64 (*.f64 y x) x) #s(literal -1/6 binary64)) |
(/.f64 (*.f64 y x) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) |
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 x x) (*.f64 y #s(literal -1/6 binary64)) y) |
(/.f64 y (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 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 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) y) x) |
(*.f64 x (*.f64 x (fma.f64 y #s(literal -1/6 binary64) (/.f64 y (*.f64 x x))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 y y)) x) (/.f64 y x)) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(*.f64 (fma.f64 y (*.f64 y #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) y) x) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x) y) x) |
(/.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) y (*.f64 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))) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) (/.f64 x y)) |
(fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y) |
(*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))) |
(/.f64 (*.f64 y (*.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)))) x) |
(/.f64 (*.f64 y (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 y y)) x)) x) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) (/.f64 x (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) x) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y)) |
(/.f64 (*.f64 (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) y) x) |
(*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 (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) (/.f64 #s(literal 1/6 binary64) x))) |
(/.f64 (*.f64 y (*.f64 (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) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))) x) |
(/.f64 (*.f64 (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) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)))) x) |
(/.f64 (*.f64 y (*.f64 (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) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x) |
(/.f64 (*.f64 y (*.f64 (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) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x) |
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x x)) y) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (neg.f64 x))) x) |
(fma.f64 y (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x)))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (/.f64 (sinh.f64 y) x) x) |
(/.f64 (*.f64 x (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 x) y) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (sin.f64 x))) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(/.f64 (*.f64 y (*.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) y) y)) x) |
(*.f64 (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) |
(*.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #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) (sinh.f64 y)) x) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) y) |
(/.f64 (*.f64 y (*.f64 (sin.f64 x) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) x) |
(*.f64 (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (/.f64 y x)) |
(/.f64 (*.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)))) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) (*.f64 y (*.f64 y y)) y) x) (sin.f64 x)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) (sin.f64 x)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) (sin.f64 x)) |
(*.f64 (/.f64 (sinh.f64 y) x) x) |
1 calls:
| 16.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 2 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
y |
(*.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x) |
(*.f64 (*.f64 (*.f64 y x) x) #s(literal -1/6 binary64)) |
(/.f64 (*.f64 y x) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) |
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 x x) (*.f64 y #s(literal -1/6 binary64)) y) |
(/.f64 y (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 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 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) y) x) |
(*.f64 x (*.f64 x (fma.f64 y #s(literal -1/6 binary64) (/.f64 y (*.f64 x x))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 y y)) x) (/.f64 y x)) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(*.f64 (fma.f64 y (*.f64 y #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) y) x) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x) y) x) |
(/.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) y (*.f64 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))) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) (/.f64 x y)) |
(fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y) |
(*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))) |
(/.f64 (*.f64 y (*.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)))) x) |
(/.f64 (*.f64 y (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 y y)) x)) x) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) (/.f64 x (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) x) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y)) |
(/.f64 (*.f64 (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) y) x) |
(*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 (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) (/.f64 #s(literal 1/6 binary64) x))) |
(/.f64 (*.f64 y (*.f64 (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) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))) x) |
(/.f64 (*.f64 (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) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)))) x) |
(/.f64 (*.f64 y (*.f64 (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) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x) |
(/.f64 (*.f64 y (*.f64 (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) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x) |
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x x)) y) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (neg.f64 x))) x) |
(fma.f64 y (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x)))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (/.f64 (sinh.f64 y) x) x) |
(/.f64 (*.f64 x (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 x) y) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (sin.f64 x))) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(/.f64 (*.f64 y (*.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) y) y)) x) |
(*.f64 (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) |
(*.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #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) (sinh.f64 y)) x) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) y) |
(/.f64 (*.f64 y (*.f64 (sin.f64 x) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) x) |
(*.f64 (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (/.f64 y x)) |
(/.f64 (*.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)))) x) |
(*.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)))) (*.f64 y (*.f64 y y)) y) x) (sin.f64 x)) |
| Outputs |
|---|
(*.f64 (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (/.f64 y x)) |
(*.f64 (/.f64 (sinh.f64 y) x) x) |
1 calls:
| 19.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 2 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
y |
(*.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x) |
(*.f64 (*.f64 (*.f64 y x) x) #s(literal -1/6 binary64)) |
(/.f64 (*.f64 y x) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) |
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 x x) (*.f64 y #s(literal -1/6 binary64)) y) |
(/.f64 y (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 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 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) y) x) |
(*.f64 x (*.f64 x (fma.f64 y #s(literal -1/6 binary64) (/.f64 y (*.f64 x x))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 y y)) x) (/.f64 y x)) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(*.f64 (fma.f64 y (*.f64 y #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) y) x) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x) y) x) |
(/.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) y (*.f64 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))) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) (/.f64 x y)) |
(fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y) |
(*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))) |
(/.f64 (*.f64 y (*.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)))) x) |
(/.f64 (*.f64 y (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 y y)) x)) x) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) (/.f64 x (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) x) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y)) |
(/.f64 (*.f64 (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) y) x) |
(*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 (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) (/.f64 #s(literal 1/6 binary64) x))) |
(/.f64 (*.f64 y (*.f64 (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) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))) x) |
(/.f64 (*.f64 (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) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)))) x) |
(/.f64 (*.f64 y (*.f64 (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) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x) |
(/.f64 (*.f64 y (*.f64 (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) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x) |
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x x)) y) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (neg.f64 x))) x) |
(fma.f64 y (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x)))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (/.f64 (sinh.f64 y) x) x) |
(/.f64 (*.f64 x (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 x) y) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (sin.f64 x))) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(/.f64 (*.f64 y (*.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) y) y)) x) |
(*.f64 (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) |
(*.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #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) (sinh.f64 y)) x) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) y) |
(/.f64 (*.f64 y (*.f64 (sin.f64 x) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))) x) |
| Outputs |
|---|
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (sinh.f64 y)) x) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) |
(*.f64 (/.f64 (sinh.f64 y) x) x) |
1 calls:
| 14.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
y |
(*.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x) |
(*.f64 (*.f64 (*.f64 y x) x) #s(literal -1/6 binary64)) |
(/.f64 (*.f64 y x) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) |
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 x x) (*.f64 y #s(literal -1/6 binary64)) y) |
(/.f64 y (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 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 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) y) x) |
(*.f64 x (*.f64 x (fma.f64 y #s(literal -1/6 binary64) (/.f64 y (*.f64 x x))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 y y)) x) (/.f64 y x)) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(*.f64 (fma.f64 y (*.f64 y #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) y) x) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x) y) x) |
(/.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) y (*.f64 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))) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) (/.f64 x y)) |
(fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y) |
(*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))) |
(/.f64 (*.f64 y (*.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)))) x) |
(/.f64 (*.f64 y (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 y y)) x)) x) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) (/.f64 x (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) x) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y)) |
(/.f64 (*.f64 (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) y) x) |
(*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 (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) (/.f64 #s(literal 1/6 binary64) x))) |
(/.f64 (*.f64 y (*.f64 (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) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))) x) |
(/.f64 (*.f64 (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) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)))) x) |
(/.f64 (*.f64 y (*.f64 (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) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x) |
(/.f64 (*.f64 y (*.f64 (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) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x) |
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x x)) y) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (neg.f64 x))) x) |
(fma.f64 y (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x)))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (/.f64 (sinh.f64 y) x) x) |
(/.f64 (*.f64 x (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 x) y) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (sin.f64 x))) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(/.f64 (*.f64 y (*.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) y) y)) x) |
(*.f64 (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 y x)) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) |
(*.f64 (fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 y (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) |
(*.f64 (/.f64 (sinh.f64 y) x) x) |
1 calls:
| 13.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
y |
(*.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x) |
(*.f64 (*.f64 (*.f64 y x) x) #s(literal -1/6 binary64)) |
(/.f64 (*.f64 y x) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) |
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 x x) (*.f64 y #s(literal -1/6 binary64)) y) |
(/.f64 y (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 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 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) y) x) |
(*.f64 x (*.f64 x (fma.f64 y #s(literal -1/6 binary64) (/.f64 y (*.f64 x x))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 y y)) x) (/.f64 y x)) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(*.f64 (fma.f64 y (*.f64 y #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) y) x) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x) y) x) |
(/.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) y (*.f64 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))) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) (/.f64 x y)) |
(fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y) |
(*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))) |
(/.f64 (*.f64 y (*.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)))) x) |
(/.f64 (*.f64 y (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 y y)) x)) x) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) (/.f64 x (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) x) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y)) |
(/.f64 (*.f64 (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) y) x) |
(*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 (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) (/.f64 #s(literal 1/6 binary64) x))) |
(/.f64 (*.f64 y (*.f64 (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) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))) x) |
(/.f64 (*.f64 (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) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)))) x) |
(/.f64 (*.f64 y (*.f64 (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) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x) |
(/.f64 (*.f64 y (*.f64 (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) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x) |
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x x)) y) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (neg.f64 x))) x) |
(fma.f64 y (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x)))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (/.f64 (sinh.f64 y) x) x) |
(/.f64 (*.f64 x (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 x) y) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (sin.f64 x))) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(/.f64 (*.f64 y (*.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) y) y)) x) |
(*.f64 (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 y x)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
(*.f64 (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 y x)) |
(*.f64 (/.f64 (sinh.f64 y) x) x) |
1 calls:
| 16.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
y |
(*.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x) |
(*.f64 (*.f64 (*.f64 y x) x) #s(literal -1/6 binary64)) |
(/.f64 (*.f64 y x) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) |
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 x x) (*.f64 y #s(literal -1/6 binary64)) y) |
(/.f64 y (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 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 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) y) x) |
(*.f64 x (*.f64 x (fma.f64 y #s(literal -1/6 binary64) (/.f64 y (*.f64 x x))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 y y)) x) (/.f64 y x)) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(*.f64 (fma.f64 y (*.f64 y #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) y) x) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x) y) x) |
(/.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) y (*.f64 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))) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) (/.f64 x y)) |
(fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y) |
(*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))) |
(/.f64 (*.f64 y (*.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)))) x) |
(/.f64 (*.f64 y (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 y y)) x)) x) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) (/.f64 x (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) x) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y)) |
(/.f64 (*.f64 (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) y) x) |
(*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 (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) (/.f64 #s(literal 1/6 binary64) x))) |
(/.f64 (*.f64 y (*.f64 (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) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))) x) |
(/.f64 (*.f64 (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) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)))) x) |
(/.f64 (*.f64 y (*.f64 (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) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x) |
(/.f64 (*.f64 y (*.f64 (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) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x) |
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x x)) y) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (neg.f64 x))) x) |
(fma.f64 y (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x)))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(*.f64 (/.f64 (sinh.f64 y) x) x) |
(/.f64 (*.f64 x (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 x) y) x) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (sin.f64 x))) |
(/.f64 y (/.f64 x (sin.f64 x))) |
(/.f64 (sin.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(/.f64 (*.f64 y (*.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 1/6 binary64)) y) y)) x) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (sinh.f64 y) x) x) |
1 calls:
| 13.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
y |
(*.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x) |
(*.f64 (*.f64 (*.f64 y x) x) #s(literal -1/6 binary64)) |
(/.f64 (*.f64 y x) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) |
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 x x) (*.f64 y #s(literal -1/6 binary64)) y) |
(/.f64 y (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 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 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) y) x) |
(*.f64 x (*.f64 x (fma.f64 y #s(literal -1/6 binary64) (/.f64 y (*.f64 x x))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 y y)) x) (/.f64 y x)) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(*.f64 (fma.f64 y (*.f64 y #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) y) x) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x) y) x) |
(/.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) y (*.f64 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))) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) (/.f64 x y)) |
(fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y) |
(*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))) |
(/.f64 (*.f64 y (*.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)))) x) |
(/.f64 (*.f64 y (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 y y)) x)) x) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) (/.f64 x (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) x) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y)) |
(/.f64 (*.f64 (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) y) x) |
(*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 (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) (/.f64 #s(literal 1/6 binary64) x))) |
(/.f64 (*.f64 y (*.f64 (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) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))) x) |
(/.f64 (*.f64 (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) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)))) x) |
(/.f64 (*.f64 y (*.f64 (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) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x) |
(/.f64 (*.f64 y (*.f64 (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) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x) |
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x x)) y) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (neg.f64 x))) x) |
(fma.f64 y (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x)))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) x) |
4 calls:
| 18.0ms | x |
| 13.0ms | (sinh.f64 y) |
| 13.0ms | y |
| 11.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.8% | 2 | (sinh.f64 y) |
| 86.8% | 2 | y |
| 79.3% | 3 | x |
| 95.2% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
y |
(*.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x) |
(*.f64 (*.f64 (*.f64 y x) x) #s(literal -1/6 binary64)) |
(/.f64 (*.f64 y x) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) |
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 x x) (*.f64 y #s(literal -1/6 binary64)) y) |
(/.f64 y (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 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 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) y) x) |
(*.f64 x (*.f64 x (fma.f64 y #s(literal -1/6 binary64) (/.f64 y (*.f64 x x))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 y y)) x) (/.f64 y x)) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(*.f64 (fma.f64 y (*.f64 y #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) y) x) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x) y) x) |
(/.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) y (*.f64 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))) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) (/.f64 x y)) |
(fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y) |
(*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))) |
(/.f64 (*.f64 y (*.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)))) x) |
(/.f64 (*.f64 y (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 y y)) x)) x) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) (/.f64 x (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) x) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y)) |
(/.f64 (*.f64 (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) y) x) |
(*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 (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) (/.f64 #s(literal 1/6 binary64) x))) |
(/.f64 (*.f64 y (*.f64 (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) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))) x) |
(/.f64 (*.f64 (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) (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)))) x) |
(/.f64 (*.f64 y (*.f64 (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) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x) |
(/.f64 (*.f64 y (*.f64 (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) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x) |
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x x)) y) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (neg.f64 x))) x) |
(fma.f64 y (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x)))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) |
| Outputs |
|---|
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 (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) (/.f64 #s(literal 1/6 binary64) x))) |
(/.f64 y (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) x) |
3 calls:
| 13.0ms | (sinh.f64 y) |
| 12.0ms | y |
| 11.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.7% | 2 | y |
| 72.7% | 2 | (sinh.f64 y) |
| 81.0% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
y |
(*.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x) |
(*.f64 (*.f64 (*.f64 y x) x) #s(literal -1/6 binary64)) |
(/.f64 (*.f64 y x) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) |
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 x x) (*.f64 y #s(literal -1/6 binary64)) y) |
(/.f64 y (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 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 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) y) x) |
(*.f64 x (*.f64 x (fma.f64 y #s(literal -1/6 binary64) (/.f64 y (*.f64 x x))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 y y)) x) (/.f64 y x)) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(*.f64 (fma.f64 y (*.f64 y #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) y) x) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x) y) x) |
(/.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) y (*.f64 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))) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) (/.f64 x y)) |
(fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y) |
(*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))) |
(/.f64 (*.f64 y (*.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)))) x) |
(/.f64 (*.f64 y (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 y y)) x)) x) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) (/.f64 x (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) x) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y)) |
(/.f64 (*.f64 (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) y) x) |
(*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (+.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
| Outputs |
|---|
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y)) |
(/.f64 y (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) x) |
1 calls:
| 10.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.0% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
y |
(*.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x) |
(*.f64 (*.f64 (*.f64 y x) x) #s(literal -1/6 binary64)) |
(/.f64 (*.f64 y x) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) |
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 x x) (*.f64 y #s(literal -1/6 binary64)) y) |
(/.f64 y (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 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 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) y) x) |
(*.f64 x (*.f64 x (fma.f64 y #s(literal -1/6 binary64) (/.f64 y (*.f64 x x))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 y y)) x) (/.f64 y x)) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(*.f64 (fma.f64 y (*.f64 y #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) y) x) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x) y) x) |
(/.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) y (*.f64 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))) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) (/.f64 x y)) |
(fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y) |
(*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))) |
(/.f64 (*.f64 y (*.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)))) x) |
(/.f64 (*.f64 y (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 y y)) x)) x) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) (/.f64 x (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) x) |
| Outputs |
|---|
(*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)) |
(/.f64 y (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) x) |
1 calls:
| 8.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.0% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
y |
(*.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x) |
(*.f64 (*.f64 (*.f64 y x) x) #s(literal -1/6 binary64)) |
(/.f64 (*.f64 y x) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) |
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 x x) (*.f64 y #s(literal -1/6 binary64)) y) |
(/.f64 y (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 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 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) y) x) |
(*.f64 x (*.f64 x (fma.f64 y #s(literal -1/6 binary64) (/.f64 y (*.f64 x x))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 y y)) x) (/.f64 y x)) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(*.f64 (fma.f64 y (*.f64 y #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) y) x) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x) y) x) |
(/.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) y (*.f64 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))) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) (/.f64 x y)) |
(fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y) |
(*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x)))) |
(/.f64 (*.f64 y (*.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)))) x) |
(/.f64 (*.f64 y (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 y y)) x)) x) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) (/.f64 x (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)) |
(/.f64 y (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y) |
2 calls:
| 10.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.2% | 3 | x |
| 78.8% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
y |
(*.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x) |
(*.f64 (*.f64 (*.f64 y x) x) #s(literal -1/6 binary64)) |
(/.f64 (*.f64 y x) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) |
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 x x) (*.f64 y #s(literal -1/6 binary64)) y) |
(/.f64 y (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 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 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) y) x) |
(*.f64 x (*.f64 x (fma.f64 y #s(literal -1/6 binary64) (/.f64 y (*.f64 x x))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 y y)) x) (/.f64 y x)) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(*.f64 (fma.f64 y (*.f64 y #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) y) x) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x) y) x) |
(/.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) y (*.f64 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))) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) (/.f64 x y)) |
(fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y) |
(*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(/.f64 y (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y) |
1 calls:
| 8.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.1% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
y |
(*.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x) |
(*.f64 (*.f64 (*.f64 y x) x) #s(literal -1/6 binary64)) |
(/.f64 (*.f64 y x) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) |
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 x x) (*.f64 y #s(literal -1/6 binary64)) y) |
(/.f64 y (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 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 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) y) x) |
(*.f64 x (*.f64 x (fma.f64 y #s(literal -1/6 binary64) (/.f64 y (*.f64 x x))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 y y)) x) (/.f64 y x)) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(*.f64 (fma.f64 y (*.f64 y #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) y) x) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) x) y) x) |
(/.f64 y (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) y (*.f64 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))) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) (/.f64 x y)) |
| Outputs |
|---|
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(/.f64 y (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
1 calls:
| 6.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.5% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
y |
(*.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x) |
(*.f64 (*.f64 (*.f64 y x) x) #s(literal -1/6 binary64)) |
(/.f64 (*.f64 y x) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) |
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 x x) (*.f64 y #s(literal -1/6 binary64)) y) |
(/.f64 y (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 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 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) y) x) |
(*.f64 x (*.f64 x (fma.f64 y #s(literal -1/6 binary64) (/.f64 y (*.f64 x x))))) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 y y)) x) (/.f64 y x)) |
| Outputs |
|---|
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(/.f64 y (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
1 calls:
| 5.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.5% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
y |
(*.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x) |
(*.f64 (*.f64 (*.f64 y x) x) #s(literal -1/6 binary64)) |
(/.f64 (*.f64 y x) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) |
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 x x) (*.f64 y #s(literal -1/6 binary64)) y) |
(/.f64 y (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) y) |
| Outputs |
|---|
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) |
(/.f64 y (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) |
3 calls:
| 4.0ms | y |
| 4.0ms | (sinh.f64 y) |
| 4.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.8% | 3 | y |
| 64.8% | 2 | (sinh.f64 y) |
| 72.3% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
y |
(*.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x) |
(*.f64 (*.f64 (*.f64 y x) x) #s(literal -1/6 binary64)) |
(/.f64 (*.f64 y x) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) |
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 x x) (*.f64 y #s(literal -1/6 binary64)) y) |
(/.f64 y (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(/.f64 y (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) |
1 calls:
| 3.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.8% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
y |
(*.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x) |
(*.f64 (*.f64 (*.f64 y x) x) #s(literal -1/6 binary64)) |
(/.f64 (*.f64 y x) x) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) |
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 x x) (*.f64 y #s(literal -1/6 binary64)) y) |
| Outputs |
|---|
(*.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) |
4 calls:
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | (sinh.f64 y) |
| 3.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.1% | 1 | (sinh.f64 y) |
| 51.1% | 1 | y |
| 51.1% | 1 | x |
| 57.2% | 2 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
y |
(*.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x) |
(*.f64 (*.f64 (*.f64 y x) x) #s(literal -1/6 binary64)) |
(/.f64 (*.f64 y x) x) |
| Outputs |
|---|
(*.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
y |
(/.f64 (*.f64 y x) x) |
4 calls:
| 17.0ms | y |
| 2.0ms | x |
| 2.0ms | (sinh.f64 y) |
| 2.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 33.2% | 2 | y |
| 33.2% | 2 | (sinh.f64 y) |
| 33.2% | 2 | x |
| 39.3% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
y |
(*.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) x) |
(*.f64 (*.f64 (*.f64 y x) x) #s(literal -1/6 binary64)) |
| Outputs |
|---|
(*.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
y |
4 calls:
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (sinh.f64 y) |
| 2.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 31.0% | 2 | y |
| 30.8% | 2 | (sinh.f64 y) |
| 31.3% | 2 | x |
| 32.7% | 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 | y |
| 1.0ms | x |
| 1.0ms | (sinh.f64 y) |
| 1.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 26.7% | 1 | (sinh.f64 y) |
| 26.7% | 1 | y |
| 26.7% | 1 | x |
| 26.7% | 1 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 19 to 13 computations (31.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.93426503414314e-7 | 0.0008536883718912503 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.93426503414314e-7 | 0.0008536883718912503 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.93426503414314e-7 | 0.0008536883718912503 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.93426503414314e-7 | 0.0008536883718912503 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.93426503414314e-7 | 0.0008536883718912503 |
| 0.0ms | -inf | -2.10893808498228e-89 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.93426503414314e-7 | 0.0008536883718912503 |
| 0.0ms | -inf | -2.10893808498228e-89 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.93426503414314e-7 | 0.0008536883718912503 |
| 0.0ms | -inf | -2.10893808498228e-89 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.93426503414314e-7 | 0.0008536883718912503 |
| 0.0ms | -inf | -2.10893808498228e-89 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.93426503414314e-7 | 0.0008536883718912503 |
| 0.0ms | -inf | -2.10893808498228e-89 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.93426503414314e-7 | 0.0008536883718912503 |
| 0.0ms | -3.038109939326904e-118 | -4.801078074766953e-137 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.93426503414314e-7 | 0.0008536883718912503 |
| 0.0ms | -3.038109939326904e-118 | -4.801078074766953e-137 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.93426503414314e-7 | 0.0008536883718912503 |
| 0.0ms | -3.038109939326904e-118 | -4.801078074766953e-137 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.93426503414314e-7 | 0.0008536883718912503 |
| 0.0ms | -3.038109939326904e-118 | -4.801078074766953e-137 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.93426503414314e-7 | 0.0008536883718912503 |
| 0.0ms | -3.038109939326904e-118 | -4.801078074766953e-137 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.93426503414314e-7 | 0.0008536883718912503 |
| 0.0ms | -3.038109939326904e-118 | -4.801078074766953e-137 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.93426503414314e-7 | 0.0008536883718912503 |
| 0.0ms | -3.038109939326904e-118 | -4.801078074766953e-137 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.93426503414314e-7 | 0.0008536883718912503 |
| 0.0ms | -3.038109939326904e-118 | -4.801078074766953e-137 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.93426503414314e-7 | 0.0008536883718912503 |
| 0.0ms | -3.038109939326904e-118 | -4.801078074766953e-137 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.6591779173289938e-201 | -1.1418959133636465e-215 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0008536883718912503 | 0.11253861577500397 |
| 0.0ms | -2.6591779173289938e-201 | -1.1418959133636465e-215 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.6591779173289938e-201 | -1.1418959133636465e-215 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | egg-herbie |
| 72× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 126 | 1150 |
| 1 | 165 | 1150 |
| 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 4722366482869645/9444732965739290427392 binary64)) (*.f64 (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y) (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sinh.f64 y) x) x)) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4722366482869645/9444732965739290427392 binary64)) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) (sin.f64 x)) (*.f64 (/.f64 (sinh.f64 y) x) x)) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4722366482869645/9444732965739290427392 binary64)) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) (sin.f64 x)) (*.f64 (/.f64 (sinh.f64 y) x) x)) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4722366482869645/9444732965739290427392 binary64)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (/.f64 y x)) (*.f64 (/.f64 (sinh.f64 y) x) 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) (sinh.f64 y)) x) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4722366482869645/9444732965739290427392 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) (*.f64 (/.f64 (sinh.f64 y) x) x))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4722366482869645/9444732965739290427392 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) (*.f64 (/.f64 (sinh.f64 y) x) x))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4722366482869645/9444732965739290427392 binary64)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 y x)) (*.f64 (/.f64 (sinh.f64 y) x) x))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4722366482869645/9444732965739290427392 binary64)) (*.f64 y (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sinh.f64 y) x) x))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4722366482869645/9444732965739290427392 binary64)) (*.f64 y (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) x))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -4542742026847543/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (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) (/.f64 #s(literal 1/6 binary64) x))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4722366482869645/9444732965739290427392 binary64)) (/.f64 y (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) x))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -4542742026847543/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4722366482869645/9444732965739290427392 binary64)) (/.f64 y (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) x))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -4542742026847543/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208 binary64)) (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4722366482869645/9444732965739290427392 binary64)) (/.f64 y (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) x))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -4542742026847543/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208 binary64)) (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4722366482869645/9444732965739290427392 binary64)) (/.f64 y (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -4542742026847543/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4722366482869645/9444732965739290427392 binary64)) (/.f64 y (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -4542742026847543/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4722366482869645/9444732965739290427392 binary64)) (/.f64 y (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -4542742026847543/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4722366482869645/9444732965739290427392 binary64)) (/.f64 y (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -4542742026847543/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 x x) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4722366482869645/9444732965739290427392 binary64)) (/.f64 y (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -4542742026847543/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208 binary64)) (*.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4722366482869645/9444732965739290427392 binary64)) (/.f64 y (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5515652263101987/2757826131550993649364364103715456897804056554542556176448634698108099443712107910064330000971904293916892446775667965408323532095584366159791555750475533307061324308088589961496711008293655788792731796366049346060288 binary64)) (*.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5515652263101987/2757826131550993649364364103715456897804056554542556176448634698108099443712107910064330000971904293916892446775667965408323532095584366159791555750475533307061324308088589961496711008293655788792731796366049346060288 binary64)) (*.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 1152921504606847/1152921504606846976 binary64)) y (/.f64 (*.f64 y x) x))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -5515652263101987/2757826131550993649364364103715456897804056554542556176448634698108099443712107910064330000971904293916892446775667965408323532095584366159791555750475533307061324308088589961496711008293655788792731796366049346060288 binary64)) (*.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) 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 4722366482869645/9444732965739290427392 binary64)) (*.f64 (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y) (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sinh.f64 y) x) x)) |
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 4722366482869645/9444732965739290427392 binary64)) (*.f64 (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y) (/.f64 (sin.f64 x) x)) (*.f64 x (/.f64 (sinh.f64 y) x))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4722366482869645/9444732965739290427392 binary64)) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) (sin.f64 x)) (*.f64 (/.f64 (sinh.f64 y) x) x)) |
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 4722366482869645/9444732965739290427392 binary64)) (*.f64 (sin.f64 x) (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x)) (*.f64 x (/.f64 (sinh.f64 y) x))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4722366482869645/9444732965739290427392 binary64)) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) (sin.f64 x)) (*.f64 (/.f64 (sinh.f64 y) x) x)) |
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 4722366482869645/9444732965739290427392 binary64)) (*.f64 (sin.f64 x) (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/5040 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x)) (*.f64 x (/.f64 (sinh.f64 y) x))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4722366482869645/9444732965739290427392 binary64)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (/.f64 y x)) (*.f64 (/.f64 (sinh.f64 y) x) x)) |
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 4722366482869645/9444732965739290427392 binary64)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (/.f64 y x)) (*.f64 x (/.f64 (sinh.f64 y) 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) (sinh.f64 y)) x) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4722366482869645/9444732965739290427392 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) (*.f64 (/.f64 (sinh.f64 y) x) x))) |
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -inf.0 binary64)) (/.f64 (*.f64 (sinh.f64 y) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) x) (if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 4722366482869645/9444732965739290427392 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) (*.f64 x (/.f64 (sinh.f64 y) x)))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4722366482869645/9444732965739290427392 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) (*.f64 (/.f64 (sinh.f64 y) x) x))) |
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -inf.0 binary64)) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 4722366482869645/9444732965739290427392 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) (*.f64 x (/.f64 (sinh.f64 y) x)))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4722366482869645/9444732965739290427392 binary64)) (*.f64 (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (/.f64 y x)) (*.f64 (/.f64 (sinh.f64 y) x) x))) |
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -inf.0 binary64)) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 4722366482869645/9444732965739290427392 binary64)) (*.f64 (/.f64 y x) (*.f64 (sin.f64 x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (*.f64 x (/.f64 (sinh.f64 y) x)))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) x) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x)) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 4722366482869645/9444732965739290427392 binary64)) (*.f64 y (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sinh.f64 y) x) x))) |
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(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -5515652263101987/2757826131550993649364364103715456897804056554542556176448634698108099443712107910064330000971904293916892446775667965408323532095584366159791555750475533307061324308088589961496711008293655788792731796366049346060288 binary64)) (*.f64 y (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) y) |
y |
| 21 458× | accelerator-lowering-fma.f32 |
| 21 458× | accelerator-lowering-fma.f64 |
| 15 888× | accelerator-lowering-fma.f32 |
| 15 888× | accelerator-lowering-fma.f64 |
| 15 192× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 131 |
| 1 | 149 | 131 |
| 2 | 1028 | 123 |
| 0 | 8464 | 114 |
| 0 | 335 | 3991 |
| 1 | 1161 | 3840 |
| 2 | 4125 | 3584 |
| 0 | 8249 | 3297 |
| 0 | 301 | 4358 |
| 1 | 1101 | 3926 |
| 2 | 4245 | 3674 |
| 0 | 8288 | 3420 |
| 0 | 6 | 16 |
| 1 | 23 | 16 |
| 2 | 113 | 16 |
| 3 | 835 | 16 |
| 0 | 8221 | 16 |
| 0 | 113 | 944 |
| 1 | 373 | 889 |
| 2 | 1229 | 849 |
| 3 | 3047 | 828 |
| 0 | 8158 | 792 |
| 0 | 376 | 5687 |
| 1 | 1308 | 5316 |
| 2 | 5070 | 4963 |
| 0 | 8593 | 4533 |
| 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 |
Compiled 2 326 to 897 computations (61.4% saved)
(negabs y)
(abs x)
Compiled 2 376 to 300 computations (87.4% saved)
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