
Time bar (total: 13.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 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)
| 687.0ms | 8 256× | 0 | valid |
ival-sin: 217.0ms (51% of total)ival-mult: 86.0ms (20.2% of total)ival-div: 60.0ms (14.1% of total)ival-sinh: 54.0ms (12.7% of total)ival-true: 6.0ms (1.4% of total)ival-assert: 3.0ms (0.7% 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 |
|---|---|---|---|---|---|
| 38 | 0 | - | 1 | (4.887606051101222e-160 8.075594237837932e-153) | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 0 | 0 | - | 0 | - | (sinh.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 (sin.f64 x) (sinh.f64 y)) |
| 0 | 0 | - | 0 | - | (sin.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) | u/n | 37 | 0 |
| ↳ | (*.f64 (sin.f64 x) (sinh.f64 y)) | underflow | 37 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 37 | 1 |
| - | 0 | 218 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 37 | 0 | 1 |
| - | 0 | 0 | 218 |
| number | freq |
|---|---|
| 0 | 219 |
| 1 | 37 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 35.0ms | 512× | 0 | valid |
Compiled 58 to 28 computations (51.7% saved)
ival-sin: 11.0ms (52.7% of total)ival-div: 3.0ms (14.4% of total)ival-mult: 3.0ms (14.4% of total)ival-sinh: 3.0ms (14.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 86.3% | (/.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 | 99.9% | (*.f64 (sin.f64 x) (sinh.f64 y)) |
| ✓ | accuracy | 86.4% | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 22.0ms | 256× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-sin: 6.0ms (48.2% of total)ival-mult: 3.0ms (24.1% of total)ival-div: 2.0ms (16.1% of total)ival-sinh: 1.0ms (8% 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 | |
|---|---|---|---|---|
| 7.0ms | y | @ | 0 | (/ (* (sin x) (sinh y)) x) |
| 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 | 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)
14 alts after pruning (13 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 554 | 13 | 567 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 554 | 14 | 568 |
| Status | Accuracy | Program |
|---|---|---|
| 74.8% | (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) | |
| 51.6% | (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (sinh.f64 y)) x) | |
| 80.9% | (/.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) | |
| ▶ | 78.3% | (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) x) |
| ▶ | 70.0% | (/.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) x) |
| ✓ | 86.3% | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 43.1% | (/.f64 (*.f64 (sin.f64 x) y) x) | |
| 45.8% | (/.f64 (*.f64 x (sinh.f64 y)) x) | |
| 98.1% | (/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) | |
| 11.3% | (/.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)))) | |
| ▶ | 99.5% | (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
| ▶ | 38.0% | (*.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
| ▶ | 56.7% | (*.f64 y (/.f64 (sin.f64 x) x)) |
| 90.8% | (*.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)))) |
Compiled 389 to 240 computations (38.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (sin.f64 x) (sinh.f64 y)) |
| ✓ | cost-diff | 0 | (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) |
| ✓ | cost-diff | 256 | (/.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (neg.f64 (*.f64 x (*.f64 x x)))) |
| ✓ | cost-diff | 1280 | (*.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
| ✓ | cost-diff | 0 | (sin.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sin.f64 x) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y) |
| ✓ | cost-diff | 0 | (sin.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) 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)) |
| 3 362× | accelerator-lowering-fma.f32 |
| 3 362× | accelerator-lowering-fma.f64 |
| 3 132× | *-lowering-*.f32 |
| 3 132× | *-lowering-*.f64 |
| 1 662× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 185 |
| 1 | 102 | 185 |
| 2 | 331 | 183 |
| 3 | 1627 | 183 |
| 4 | 4436 | 183 |
| 5 | 7284 | 183 |
| 0 | 8070 | 173 |
| 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 y) (* y 1/6)) y)) x) |
(* (sin x) (+ (* (* y y) (* y 1/6)) y)) |
(sin x) |
x |
(+ (* (* y y) (* y 1/6)) y) |
(* y y) |
y |
(* y 1/6) |
1/6 |
(/ (* (sin x) (+ (* (+ (* y (* y 1/120)) 1/6) (* y (* y y))) y)) x) |
(* (sin x) (+ (* (+ (* y (* y 1/120)) 1/6) (* y (* y y))) y)) |
(sin x) |
x |
(+ (* (+ (* y (* y 1/120)) 1/6) (* y (* y y))) y) |
(+ (* y (* y 1/120)) 1/6) |
y |
(* y 1/120) |
1/120 |
1/6 |
(* y (* y y)) |
(* y y) |
(* (/ (neg (* (sin x) (sinh y))) (neg (* x (* x x)))) (* x x)) |
(/ (neg (* (sin x) (sinh y))) (neg (* x (* x x)))) |
(neg (* (sin x) (sinh y))) |
(* (sin x) (sinh y)) |
(sin x) |
x |
(sinh y) |
y |
(neg (* x (* x x))) |
(* x (* x x)) |
(* x x) |
| Outputs |
|---|
(* (/ (sinh y) x) (sin x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(/ (sinh y) x) |
(/.f64 (sinh.f64 y) x) |
(sinh y) |
(sinh.f64 y) |
y |
x |
(sin x) |
(sin.f64 x) |
(* y (/ (sin x) x)) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
y |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(sin x) |
(sin.f64 x) |
x |
(/ (* (sin x) (+ (* (* y y) (* y 1/6)) y)) x) |
(*.f64 (sin.f64 x) (/.f64 (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y) x)) |
(* (sin x) (+ (* (* y y) (* y 1/6)) y)) |
(*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) |
(sin x) |
(sin.f64 x) |
x |
(+ (* (* y y) (* y 1/6)) y) |
(fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y) |
(* y y) |
(*.f64 y y) |
y |
(* y 1/6) |
(*.f64 y #s(literal 1/6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(/ (* (sin x) (+ (* (+ (* y (* y 1/120)) 1/6) (* y (* y y))) y)) x) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) y)) |
(* (sin x) (+ (* (+ (* y (* y 1/120)) 1/6) (* y (* y y))) y)) |
(*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) y)) |
(sin x) |
(sin.f64 x) |
x |
(+ (* (+ (* y (* y 1/120)) 1/6) (* y (* y y))) y) |
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) y) |
(+ (* y (* y 1/120)) 1/6) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
y |
(* y 1/120) |
(*.f64 y #s(literal 1/120 binary64)) |
1/120 |
#s(literal 1/120 binary64) |
1/6 |
#s(literal 1/6 binary64) |
(* y (* y y)) |
(*.f64 y (*.f64 y y)) |
(* y y) |
(*.f64 y y) |
(* (/ (neg (* (sin x) (sinh y))) (neg (* x (* x x)))) (* x x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(/ (neg (* (sin x) (sinh y))) (neg (* x (* x x)))) |
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (*.f64 x (*.f64 x x))) |
(neg (* (sin x) (sinh y))) |
(*.f64 (sinh.f64 y) (sin.f64 (neg.f64 x))) |
(* (sin x) (sinh y)) |
(*.f64 (sinh.f64 y) (sin.f64 x)) |
(sin x) |
(sin.f64 x) |
x |
(sinh y) |
(sinh.f64 y) |
y |
(neg (* x (* x x))) |
(neg.f64 (*.f64 x (*.f64 x x))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 (sin.f64 x) (sinh.f64 y)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 70.8% | (/.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (neg.f64 (*.f64 x (*.f64 x x)))) |
| ✓ | accuracy | 60.4% | (*.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
| ✓ | accuracy | 99.9% | (*.f64 y (*.f64 y y)) |
| ✓ | accuracy | 99.8% | (*.f64 y #s(literal 1/120 binary64)) |
| ✓ | accuracy | 96.9% | (*.f64 (sin.f64 x) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
| ✓ | accuracy | 83.4% | (/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) x) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y) |
| ✓ | accuracy | 99.4% | (*.f64 y #s(literal 1/6 binary64)) |
| ✓ | accuracy | 95.1% | (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) |
| ✓ | accuracy | 83.3% | (/.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) x) |
| ✓ | accuracy | 100.0% | (sin.f64 x) |
| ✓ | accuracy | 99.8% | (*.f64 y (/.f64 (sin.f64 x) x)) |
| ✓ | accuracy | 99.8% | (/.f64 (sin.f64 x) x) |
| ✓ | accuracy | 100.0% | (/.f64 (sinh.f64 y) x) |
| ✓ | accuracy | 100.0% | (sin.f64 x) |
| ✓ | accuracy | 100.0% | (sinh.f64 y) |
| ✓ | accuracy | 99.5% | (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
| 105.0ms | 256× | 0 | valid |
Compiled 207 to 33 computations (84.1% saved)
ival-mult: 43.0ms (58.4% of total)const: 10.0ms (13.6% of total)ival-div: 8.0ms (10.9% of total)ival-sin: 6.0ms (8.1% of total)ival-add: 3.0ms (4.1% of total)ival-neg: 2.0ms (2.7% of total)ival-sinh: 2.0ms (2.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 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 y) (* y 1/6)) y)) x)> |
#<alt (* (sin x) (+ (* (* y y) (* y 1/6)) y))> |
#<alt (+ (* (* y y) (* y 1/6)) y)> |
#<alt (/ (* (sin x) (+ (* (+ (* y (* y 1/120)) 1/6) (* y (* y y))) y)) x)> |
#<alt (* (sin x) (+ (* (+ (* y (* y 1/120)) 1/6) (* y (* y y))) y))> |
#<alt (+ (* (+ (* y (* y 1/120)) 1/6) (* y (* y y))) y)> |
#<alt (* (/ (neg (* (sin x) (sinh y))) (neg (* x (* x x)))) (* x x))> |
#<alt (/ (neg (* (sin x) (sinh y))) (neg (* x (* x x))))> |
#<alt (neg (* (sin x) (sinh y)))> |
#<alt (* (sin x) (sinh y))> |
#<alt (* y 1/6)> |
#<alt (* y 1/120)> |
#<alt (* y (* y y))> |
#<alt (* x (* x x))> |
| 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 (* 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)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/120 (+ y (* 1/6 (pow y 3))))))))))> |
#<alt (/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x)> |
#<alt (/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x)> |
#<alt (/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x)> |
#<alt (/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x)> |
#<alt (/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x)> |
#<alt (/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x)> |
#<alt (/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x)> |
#<alt (/ (* (sin x) (+ y (* 1/6 (pow y 3)))) 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 (+ y (* 1/6 (pow y 3))))> |
#<alt (* x (+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3)))))> |
#<alt (* x (+ y (+ (* 1/6 (pow 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 (* x (+ y (+ (* 1/6 (pow y 3)) (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/120 (+ y (* 1/6 (pow y 3)))))))))))> |
#<alt (* (sin x) (+ y (* 1/6 (pow y 3))))> |
#<alt (* (sin x) (+ y (* 1/6 (pow y 3))))> |
#<alt (* (sin x) (+ y (* 1/6 (pow y 3))))> |
#<alt (* (sin x) (+ y (* 1/6 (pow y 3))))> |
#<alt (* (sin x) (+ y (* 1/6 (pow y 3))))> |
#<alt (* (sin x) (+ y (* 1/6 (pow y 3))))> |
#<alt (* (sin x) (+ y (* 1/6 (pow y 3))))> |
#<alt (* (sin x) (+ y (* 1/6 (pow y 3))))> |
#<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 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 (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))> |
#<alt (+ y (+ (* -1/6 (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (+ y (+ (* (pow x 2) (+ (* -1/6 (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (+ y (+ (* (pow x 2) (+ (* -1/6 (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) x)> |
#<alt (/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) x)> |
#<alt (/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) x)> |
#<alt (/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) x)> |
#<alt (/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) x)> |
#<alt (/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) x)> |
#<alt (/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) x)> |
#<alt (/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) 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) (+ (* 1/120 (/ (* (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 (* x (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* x (+ y (+ (* -1/6 (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))))> |
#<alt (* x (+ y (+ (* (pow x 2) (+ (* -1/6 (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))))> |
#<alt (* x (+ y (+ (* (pow x 2) (+ (* -1/6 (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))))> |
#<alt (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<alt (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))> |
#<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 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 (* 1/120 (pow y 2))))))> |
#<alt (* 1/120 (pow y 5))> |
#<alt (* (pow y 5) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))> |
#<alt (* (pow y 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))> |
#<alt (* 1/120 (pow y 5))> |
#<alt (* (pow y 5) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* -1 (* (pow y 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 2))) 1/120)))> |
#<alt (* -1 (* (pow y 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 2))) 1/120)))> |
#<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 (/ (- (exp y) (/ 1 (exp y))) (pow x 2)))> |
#<alt (/ (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) (pow x 2))> |
#<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)))))))) (pow x 2))> |
#<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))))))))) (pow x 2))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) (pow x 3)))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) (pow x 3)))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) (pow x 3)))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) (pow x 3)))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) (pow x 3)))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) (pow x 3)))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) (pow x 3)))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) (pow x 3)))> |
#<alt (/ (* y (sin x)) (pow x 3))> |
#<alt (* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) (pow x 3))) (/ (sin x) (pow x 3))))> |
#<alt (* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) (pow x 3))) (* 1/6 (/ (sin x) (pow x 3))))) (/ (sin x) (pow x 3))))> |
#<alt (* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) (pow x 3))) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) (pow x 3))) (* 1/120 (/ (sin x) (pow x 3))))))) (/ (sin x) (pow x 3))))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) (pow x 3)))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) (pow x 3)))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) (pow x 3)))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) (pow x 3)))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) (pow x 3)))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) (pow x 3)))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) (pow x 3)))> |
#<alt (* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) (pow x 3)))> |
#<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 (- (* (pow x 2) (- (* -1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* -1/12 (- (exp y) (/ 1 (exp y)))))) (* 1/2 (- (exp y) (/ 1 (exp y))))))> |
#<alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* 1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))) (* -1/12 (- (exp y) (/ 1 (exp y)))))) (* 1/2 (- (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 (* -1 (* y (sin x)))> |
#<alt (* y (- (* -1/6 (* (pow y 2) (sin x))) (sin x)))> |
#<alt (* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))) (sin x)))> |
#<alt (* y (- (* (pow y 2) (- (* (pow y 2) (- (* -1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))) (* 1/6 (sin x)))) (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 (* 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 (* 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)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow y 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
93 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | x | @ | inf | (/ (* (sin x) (+ (* (+ (* y (* y 1/120)) 1/6) (* y (* y y))) y)) x) |
| 11.0ms | x | @ | -inf | (/ (sinh y) x) |
| 3.0ms | x | @ | 0 | (/ (* (sin x) (+ (* (* y y) (* y 1/6)) y)) x) |
| 2.0ms | x | @ | -inf | (* y (/ (sin x) x)) |
| 2.0ms | x | @ | inf | (* y (/ (sin x) x)) |
| 1× | batch-egg-rewrite |
| 5 410× | *-lowering-*.f32 |
| 5 410× | *-lowering-*.f64 |
| 4 374× | accelerator-lowering-fma.f32 |
| 4 374× | accelerator-lowering-fma.f64 |
| 3 920× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 142 |
| 1 | 165 | 140 |
| 2 | 1190 | 140 |
| 0 | 8365 | 131 |
| 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 y) (* y 1/6)) y)) x) |
(* (sin x) (+ (* (* y y) (* y 1/6)) y)) |
(+ (* (* y y) (* y 1/6)) y) |
(/ (* (sin x) (+ (* (+ (* y (* y 1/120)) 1/6) (* y (* y y))) y)) x) |
(* (sin x) (+ (* (+ (* y (* y 1/120)) 1/6) (* y (* y y))) y)) |
(+ (* (+ (* y (* y 1/120)) 1/6) (* y (* y y))) y) |
(* (/ (neg (* (sin x) (sinh y))) (neg (* x (* x x)))) (* x x)) |
(/ (neg (* (sin x) (sinh y))) (neg (* x (* x x)))) |
(neg (* (sin x) (sinh y))) |
(* (sin x) (sinh y)) |
(* y 1/6) |
(* y 1/120) |
(* y (* y y)) |
(* x (* x x)) |
| Outputs |
|---|
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 x))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (*.f64 x (*.f64 x x))) (*.f64 x x))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (*.f64 x (*.f64 x x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 x))) |
(neg.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 x))) |
(neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (*.f64 x (*.f64 x x))) (*.f64 x x))) |
(neg.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (*.f64 x (*.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 (*.f64 (sinh.f64 y) (sin.f64 x)) x) |
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 x)) |
(/.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (sinh.f64 y) (sin.f64 x)))) |
(/.f64 (*.f64 x x) (*.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) (*.f64 x x))) |
(/.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 #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 (*.f64 x (*.f64 x x)) (*.f64 (sinh.f64 y) (sin.f64 x))) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 x x)) (/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) (*.f64 x x))) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (/.f64 (*.f64 x x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (sin.f64 x) (*.f64 (neg.f64 (sinh.f64 y)) (*.f64 x x))) #s(literal -1 binary64)))) |
(/.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 #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 (neg.f64 (*.f64 x x)) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (neg.f64 (sinh.f64 y)) (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) (*.f64 x x))) (*.f64 x (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (sin.f64 x)) (*.f64 #s(literal 2 binary64) x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) (*.f64 x x))) (neg.f64 x)) (neg.f64 (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (/.f64 (*.f64 x x) x)) (*.f64 x x)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 (neg.f64 (sinh.f64 y)) (*.f64 x x))) #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (sin.f64 x)) (*.f64 #s(literal -2 binary64) x)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) x)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (sin.f64 x)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) x)) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (sin.f64 x)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) (neg.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 x x)) (*.f64 (/.f64 x (sinh.f64 y)) (*.f64 x x))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) #s(literal 3 binary64))) (*.f64 x x)) (*.f64 (+.f64 (pow.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) #s(literal 2 binary64)) #s(literal 0 binary64)) (neg.f64 (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) #s(literal 2 binary64))) (*.f64 x x)) (*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 x (*.f64 x 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))))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 x (sin.f64 x)))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (/.f64 x (sin.f64 x))))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) (neg.f64 (sin.f64 x))) (*.f64 #s(literal 2 binary64) (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 y)) (neg.f64 (sin.f64 x))) (*.f64 #s(literal -2 binary64) (neg.f64 x))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) (*.f64 x x))) (neg.f64 x))) (*.f64 x x)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (/.f64 (*.f64 x x) x))) (neg.f64 (*.f64 x x))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 (neg.f64 (sinh.f64 y)) (*.f64 x x))) #s(literal -1 binary64))) (neg.f64 (*.f64 x (*.f64 x x)))) |
(pow.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) #s(literal -1 binary64)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(*.f64 x (*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (/.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) |
(*.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y)) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (*.f64 (neg.f64 (sinh.f64 y)) (*.f64 x x)) (neg.f64 (*.f64 x x)))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (*.f64 (sinh.f64 y) (*.f64 x x)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) x) (/.f64 (*.f64 x x) (/.f64 (*.f64 x x) (sinh.f64 y)))) |
(*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (*.f64 x x))) |
(*.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (/.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x x))))) |
(*.f64 (*.f64 x x) (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (*.f64 x (*.f64 x x))) (*.f64 x x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sinh.f64 y) (sin.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) (*.f64 x x))) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 x))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (*.f64 x (*.f64 x x))) (*.f64 x x))) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (*.f64 x (*.f64 x x))))) |
(*.f64 (neg.f64 (*.f64 x x)) (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (/.f64 x (*.f64 x (*.f64 x x)))) x) |
(*.f64 (*.f64 (sin.f64 x) (*.f64 (neg.f64 (sinh.f64 y)) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (*.f64 (neg.f64 (sinh.f64 y)) (*.f64 x x)) (*.f64 x x))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (*.f64 (sinh.f64 y) (*.f64 x x)) (neg.f64 (*.f64 x x)))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (*.f64 x x) (/.f64 (*.f64 x x) (neg.f64 (sinh.f64 y))))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (sinh.f64 y) (neg.f64 x))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (sinh.f64 y)) (*.f64 x x)) (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 x x)) (neg.f64 (sinh.f64 y))))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (/.f64 (sinh.f64 y) x)) |
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (/.f64 (*.f64 (sinh.f64 y) (*.f64 x x)) (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 x x)) (sinh.f64 y)))) |
(*.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (*.f64 x x)) (/.f64 (*.f64 x x) x)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (*.f64 (sinh.f64 y) (*.f64 x x)) x)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (*.f64 (neg.f64 (sinh.f64 y)) (*.f64 x x)) (neg.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (sinh.f64 y)) (*.f64 x x)) x)) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 (*.f64 x x))) (/.f64 (*.f64 (sinh.f64 y) (*.f64 x x)) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) (*.f64 x x))) (neg.f64 x))) |
(*.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 x)) (/.f64 (*.f64 x x) (neg.f64 (*.f64 x x)))) |
(*.f64 (*.f64 (sinh.f64 y) #s(literal -1 binary64)) (/.f64 (sin.f64 x) (neg.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (neg.f64 (sinh.f64 y)) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 x #s(literal -1 binary64)) (/.f64 x (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (sinh.f64 y) (sin.f64 x)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) (*.f64 x x))) (neg.f64 (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))))) |
(*.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (*.f64 x x)) (/.f64 (*.f64 x x) (neg.f64 x))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (*.f64 (sinh.f64 y) (*.f64 x x))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (/.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 (neg.f64 (sinh.f64 y)) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))) |
(*.f64 (/.f64 (sin.f64 x) (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 (sinh.f64 y) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x x) (/.f64 x (/.f64 (*.f64 x x) (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(*.f64 (/.f64 (*.f64 x x) x) (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) x) #s(literal -1 binary64)) (/.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 x (neg.f64 x)) (/.f64 x (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))))) |
(*.f64 (/.f64 (neg.f64 (sinh.f64 y)) #s(literal -1 binary64)) (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x))) (*.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (/.f64 (*.f64 x x) x))) |
(*.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (*.f64 x x) (pow.f64 x #s(literal 3/2 binary64)))) |
(*.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 x (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 x (/.f64 #s(literal -1 binary64) (*.f64 (sinh.f64 y) (sin.f64 x))))) |
(*.f64 (/.f64 (*.f64 x x) (neg.f64 (*.f64 x x))) (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) (neg.f64 x))) |
(*.f64 (/.f64 x (/.f64 x (sin.f64 x))) (/.f64 x (/.f64 (*.f64 x x) (sinh.f64 y)))) |
(*.f64 (/.f64 x (*.f64 x #s(literal -1 binary64))) (/.f64 x (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y)))))) |
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(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (*.f64 x x))))))) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (neg.f64 x) (neg.f64 (*.f64 x x))) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) |
(*.f64 (neg.f64 (*.f64 x x)) (neg.f64 x)) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
| 1× | egg-herbie |
| 22 740× | accelerator-lowering-fma.f32 |
| 22 740× | accelerator-lowering-fma.f64 |
| 6 418× | *-lowering-*.f32 |
| 6 418× | *-lowering-*.f64 |
| 5 402× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 350 | 4882 |
| 1 | 1219 | 4618 |
| 2 | 4393 | 4352 |
| 0 | 8058 | 4106 |
| 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 (* 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)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/120 (+ y (* 1/6 (pow y 3)))))))))) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) x) |
(/ (* (sin x) (+ y (* 1/6 (pow y 3)))) 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 (+ y (* 1/6 (pow y 3)))) |
(* x (+ y (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/6 (pow y 3))))) |
(* x (+ y (+ (* 1/6 (pow y 3)) (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* 1/120 (* (pow x 2) (+ y (* 1/6 (pow y 3)))))))))) |
(* x (+ y (+ (* 1/6 (pow y 3)) (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* 1/120 (+ y (* 1/6 (pow y 3))))))))))) |
(* (sin x) (+ y (* 1/6 (pow y 3)))) |
(* (sin x) (+ y (* 1/6 (pow y 3)))) |
(* (sin x) (+ y (* 1/6 (pow y 3)))) |
(* (sin x) (+ y (* 1/6 (pow y 3)))) |
(* (sin x) (+ y (* 1/6 (pow y 3)))) |
(* (sin x) (+ y (* 1/6 (pow y 3)))) |
(* (sin x) (+ y (* 1/6 (pow y 3)))) |
(* (sin x) (+ y (* 1/6 (pow y 3)))) |
(* 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))))) |
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)))) |
(+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ y (+ (* -1/6 (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) |
(+ y (+ (* (pow x 2) (+ (* -1/6 (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) |
(+ y (+ (* (pow x 2) (+ (* -1/6 (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) |
(/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(/ (* (sin x) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) 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) (+ (* 1/120 (/ (* (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)))))) |
(* x (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* x (+ y (+ (* -1/6 (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* x (+ y (+ (* (pow x 2) (+ (* -1/6 (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* x (+ y (+ (* (pow x 2) (+ (* -1/6 (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2))))))) |
(* (sin x) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* (sin x) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* (sin x) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* (sin x) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* (sin x) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* (sin x) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* (sin x) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* (sin x) (+ y (* (pow y 3) (+ 1/6 (* 1/120 (pow y 2)))))) |
(* 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)))))) |
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 (* 1/120 (pow y 2)))))) |
(* 1/120 (pow y 5)) |
(* (pow y 5) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* (pow y 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* 1/120 (pow y 5)) |
(* (pow y 5) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 2))) 1/120))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 2))) 1/120))) |
(* 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 (/ (- (exp y) (/ 1 (exp y))) (pow x 2))) |
(/ (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y))))) (pow x 2)) |
(/ (+ (* 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)))))))) (pow x 2)) |
(/ (+ (* 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))))))))) (pow x 2)) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) (pow x 3))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) (pow x 3))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) (pow x 3))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) (pow x 3))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) (pow x 3))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) (pow x 3))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) (pow x 3))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) (pow x 3))) |
(/ (* y (sin x)) (pow x 3)) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) (pow x 3))) (/ (sin x) (pow x 3)))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) (pow x 3))) (* 1/6 (/ (sin x) (pow x 3))))) (/ (sin x) (pow x 3)))) |
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) (pow x 3))) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) (pow x 3))) (* 1/120 (/ (sin x) (pow x 3))))))) (/ (sin x) (pow x 3)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) (pow x 3))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) (pow x 3))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) (pow x 3))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) (pow x 3))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) (pow x 3))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) (pow x 3))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) (pow x 3))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) (pow x 3))) |
(* -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 (- (* (pow x 2) (- (* -1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* -1/12 (- (exp y) (/ 1 (exp y)))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* 1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))) (* -1/12 (- (exp y) (/ 1 (exp y)))))) (* 1/2 (- (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))))) |
(* -1 (* y (sin x))) |
(* y (- (* -1/6 (* (pow y 2) (sin x))) (sin x))) |
(* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))) (sin x))) |
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* -1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))) (* 1/6 (sin x)))) (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))))) |
(* 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))))) |
(* 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) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow y 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
| 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 #s(literal 1/6 binary64) (*.f64 y (*.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 (*.f64 y y) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y 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 (/.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)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (-.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 x (*.f64 x (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal -1/12 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(+ (* 1/2 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/12 (- (exp y) (/ 1 (exp y)))) (* (pow x 2) (+ (* -1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y))))))))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/10080 binary64) #s(literal 1/240 binary64))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 #s(literal -1/12 binary64) (*.f64 x x) #s(literal 1/2 binary64)))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (-.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 #s(literal 1/6 binary64) (*.f64 y y) #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 (*.f64 y 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 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.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 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #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) |
(/ (* 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 (*.f64 y (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) y) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y)))))) |
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(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) (pow x 3))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (*.f64 x (*.f64 x x))) |
(/ (* y (sin x)) (pow x 3)) |
(/.f64 (*.f64 y (sin.f64 x)) (*.f64 x (*.f64 x x))) |
(* y (+ (* 1/6 (/ (* (pow y 2) (sin x)) (pow x 3))) (/ (sin x) (pow x 3)))) |
(*.f64 y (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 (sin.f64 x) (*.f64 x (*.f64 x x))))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) (pow x 3))) (* 1/6 (/ (sin x) (pow x 3))))) (/ (sin x) (pow x 3)))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 (/.f64 (sin.f64 x) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (/.f64 (sin.f64 x) (*.f64 x (*.f64 x x))))) |
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) (pow x 3))) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) (pow x 3))) (* 1/120 (/ (sin x) (pow x 3))))))) (/ (sin x) (pow x 3)))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 (/.f64 (*.f64 y (*.f64 y (sin.f64 x))) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 (sin.f64 x) (*.f64 x (*.f64 x x)))))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) (pow x 3))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (*.f64 x (*.f64 x x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) (pow x 3))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (*.f64 x (*.f64 x x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) (pow x 3))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (*.f64 x (*.f64 x x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) (pow x 3))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (*.f64 x (*.f64 x x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) (pow x 3))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (*.f64 x (*.f64 x x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) (pow x 3))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (*.f64 x (*.f64 x x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) (pow x 3))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (*.f64 x (*.f64 x x))) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) (pow x 3))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (*.f64 x (*.f64 x x))) |
(* -1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x #s(literal -1/2 binary64))) |
(* x (- (* 1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
(*.f64 x (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) |
(* x (- (* (pow x 2) (- (* -1/240 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* -1/12 (- (exp y) (/ 1 (exp y)))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
(*.f64 x (fma.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal -1/2 binary64) (*.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)))))) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* 1/10080 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/240 (- (exp y) (/ 1 (exp y)))))) (* -1/12 (- (exp y) (/ 1 (exp y)))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (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 (*.f64 x x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) |
(* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal -1/2 binary64))) |
(* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal -1/2 binary64))) |
(* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal -1/2 binary64))) |
(* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal -1/2 binary64))) |
(* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal -1/2 binary64))) |
(* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal -1/2 binary64))) |
(* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal -1/2 binary64))) |
(* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal -1/2 binary64))) |
(* -1 (* y (sin x))) |
(neg.f64 (*.f64 y (sin.f64 x))) |
(* y (- (* -1/6 (* (pow y 2) (sin x))) (sin x))) |
(*.f64 y (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
(* y (- (* (pow y 2) (- (* -1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))) (sin x))) |
(*.f64 y (-.f64 (*.f64 (*.f64 y y) (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) #s(literal -1/120 binary64) #s(literal -1/6 binary64)))) (sin.f64 x))) |
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* -1/5040 (* (pow y 2) (sin x))) (* 1/120 (sin x)))) (* 1/6 (sin x)))) (sin x))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)))) (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64))))) |
(* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal -1/2 binary64))) |
(* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal -1/2 binary64))) |
(* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal -1/2 binary64))) |
(* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal -1/2 binary64))) |
(* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal -1/2 binary64))) |
(* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal -1/2 binary64))) |
(* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal -1/2 binary64))) |
(* -1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (sin.f64 x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) #s(literal -1/2 binary64))) |
(* 1/2 (* x (- (exp y) (/ 1 (exp y))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(* x (+ (* -1/12 (* (pow x 2) (- (exp y) (/ 1 (exp y))))) (* 1/2 (- (exp y) (/ 1 (exp y)))))) |
(*.f64 (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (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 (fma.f64 x (*.f64 x (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal -1/12 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) |
(* 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 (-.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))))) |
(*.f64 (sin.f64 x) (*.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 (sin.f64 x) (*.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 (sin.f64 x) (*.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 (sin.f64 x) (*.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 (sin.f64 x) (*.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 (sin.f64 x) (*.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 (sin.f64 x) (*.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 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) |
(* y (sin x)) |
(*.f64 y (sin.f64 x)) |
(* y (+ (sin x) (* 1/6 (* (pow y 2) (sin x))))) |
(*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(* y (+ (sin x) (* (pow y 2) (+ (* 1/120 (* (pow y 2) (sin x))) (* 1/6 (sin x)))))) |
(*.f64 (sin.f64 x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) |
(* 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) (*.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (sin.f64 x)))) |
(* 1/2 (* (sin x) (- (exp y) (/ 1 (exp y))))) |
(*.f64 (sin.f64 x) (*.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 (sin.f64 x) (*.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 (sin.f64 x) (*.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 (sin.f64 x) (*.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 (sin.f64 x) (*.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 (sin.f64 x) (*.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 (sin.f64 x) (*.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 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 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)) |
(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)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
Compiled 34 087 to 2 925 computations (91.4% saved)
25 alts after pruning (23 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 423 | 19 | 1 442 |
| Fresh | 4 | 4 | 8 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 431 | 25 | 1 456 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 52.8% | (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
| 39.5% | (fma.f64 (*.f64 x x) (*.f64 y #s(literal -1/6 binary64)) y) | |
| ▶ | 34.5% | (fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) |
| 48.3% | (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) | |
| 39.4% | (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) x) | |
| 20.7% | (/.f64 (*.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) y))) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (-.f64 y (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/36 binary64)))) (/.f64 x (sin.f64 x)))) | |
| 80.9% | (/.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) | |
| 70.0% | (/.f64 (*.f64 (sin.f64 x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) x) | |
| ✓ | 86.3% | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 43.1% | (/.f64 (*.f64 (sin.f64 x) y) x) | |
| 39.2% | (/.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) x) | |
| 34.7% | (/.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) x) | |
| 45.8% | (/.f64 (*.f64 x (sinh.f64 y)) x) | |
| ▶ | 41.7% | (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sin.f64 x)))) |
| 82.5% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y)) (/.f64 x (sin.f64 x)))) | |
| 55.6% | (*.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)) | |
| ▶ | 99.3% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sinh.f64 y))) (sin.f64 x)) |
| 23.0% | (*.f64 (/.f64 (*.f64 y (sin.f64 x)) (*.f64 x (*.f64 x x))) (*.f64 x x)) | |
| 65.8% | (*.f64 (/.f64 y x) (sin.f64 x)) | |
| 34.1% | (*.f64 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))) | |
| 39.5% | (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) | |
| 39.4% | (*.f64 y (/.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x) x)) | |
| ✓ | 56.7% | (*.f64 y (/.f64 (sin.f64 x) x)) |
| 90.8% | (*.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)))) | |
| ▶ | 29.9% | y |
Compiled 791 to 441 computations (44.2% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 y (sin.f64 x)) |
| ✓ | cost-diff | 0 | (/.f64 x (*.f64 y (sin.f64 x))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sin.f64 x)))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
| ✓ | cost-diff | 1024 | (fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 y (*.f64 y y)) |
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sinh.f64 y)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sinh.f64 y))) (sin.f64 x)) |
| ✓ | cost-diff | 1408 | (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sinh.f64 y))) |
| 6 596× | accelerator-lowering-fma.f32 |
| 6 596× | accelerator-lowering-fma.f64 |
| 3 544× | *-lowering-*.f32 |
| 3 544× | *-lowering-*.f64 |
| 2 230× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 185 |
| 1 | 93 | 179 |
| 2 | 280 | 167 |
| 3 | 1186 | 167 |
| 4 | 3162 | 167 |
| 5 | 5376 | 167 |
| 6 | 6323 | 167 |
| 0 | 8044 | 154 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (/ 1 x) (/ 1 (sinh y))) (sin x)) |
(/ (/ 1 x) (/ 1 (sinh y))) |
(/ 1 x) |
1 |
x |
(/ 1 (sinh y)) |
(sinh y) |
y |
(sin x) |
y |
(+ (* (+ (* (* y y) 1/120) 1/6) (* y (* y y))) y) |
(+ (* (* y y) 1/120) 1/6) |
(* y y) |
y |
1/120 |
1/6 |
(* y (* y y)) |
(+ (* y (+ (* 1/6 (* y y)) 1)) (* (* x x) (* (+ (* 1/6 (* y (* y y))) y) (+ (* 1/120 (* x x)) -1/6)))) |
y |
(+ (* 1/6 (* y y)) 1) |
1/6 |
(* y y) |
1 |
(* (* x x) (* (+ (* 1/6 (* y (* y y))) y) (+ (* 1/120 (* x x)) -1/6))) |
(* x x) |
x |
(* (+ (* 1/6 (* y (* y y))) y) (+ (* 1/120 (* x x)) -1/6)) |
(+ (* 1/6 (* y (* y y))) y) |
(* y (* y y)) |
(+ (* 1/120 (* x x)) -1/6) |
1/120 |
-1/6 |
(/ 1 (/ x (* y (sin x)))) |
1 |
(/ x (* y (sin x))) |
x |
(* y (sin x)) |
y |
(sin x) |
| Outputs |
|---|
(* (/ (/ 1 x) (/ 1 (sinh y))) (sin x)) |
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) |
(/ (/ 1 x) (/ 1 (sinh y))) |
(/.f64 (sinh.f64 y) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(/ 1 (sinh y)) |
(/.f64 #s(literal 1 binary64) (sinh.f64 y)) |
(sinh y) |
(sinh.f64 y) |
y |
(sin x) |
(sin.f64 x) |
y |
(+ (* (+ (* (* y y) 1/120) 1/6) (* y (* y y))) y) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(+ (* (* y y) 1/120) 1/6) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* y y) |
(*.f64 y y) |
y |
1/120 |
#s(literal 1/120 binary64) |
1/6 |
#s(literal 1/6 binary64) |
(* y (* y y)) |
(*.f64 y (*.f64 y y)) |
(+ (* y (+ (* 1/6 (* y y)) 1)) (* (* x x) (* (+ (* 1/6 (* y (* y y))) y) (+ (* 1/120 (* x x)) -1/6)))) |
(*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
y |
(+ (* 1/6 (* y y)) 1) |
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(* y y) |
(*.f64 y y) |
1 |
#s(literal 1 binary64) |
(* (* x x) (* (+ (* 1/6 (* y (* y y))) y) (+ (* 1/120 (* x x)) -1/6))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 x x)))) |
(* x x) |
(*.f64 x x) |
x |
(* (+ (* 1/6 (* y (* y y))) y) (+ (* 1/120 (* x x)) -1/6)) |
(*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(+ (* 1/6 (* y (* y y))) y) |
(fma.f64 y (*.f64 y (*.f64 y #s(literal 1/6 binary64))) y) |
(* y (* y y)) |
(*.f64 y (*.f64 y y)) |
(+ (* 1/120 (* x x)) -1/6) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
1/120 |
#s(literal 1/120 binary64) |
-1/6 |
#s(literal -1/6 binary64) |
(/ 1 (/ x (* y (sin x)))) |
(*.f64 (sin.f64 x) (/.f64 y x)) |
1 |
#s(literal 1 binary64) |
(/ x (* y (sin x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
x |
(* y (sin x)) |
(*.f64 y (sin.f64 x)) |
y |
(sin x) |
(sin.f64 x) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 x) |
| ✓ | accuracy | 99.9% | (*.f64 y (sin.f64 x)) |
| ✓ | accuracy | 98.5% | (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sin.f64 x)))) |
| ✓ | accuracy | 86.4% | (/.f64 x (*.f64 y (sin.f64 x))) |
| ✓ | accuracy | 99.9% | (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) |
| ✓ | accuracy | 99.9% | (*.f64 y (*.f64 y y)) |
| ✓ | accuracy | 94.6% | (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
| ✓ | accuracy | 99.9% | (*.f64 y (*.f64 y y)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (sinh.f64 y)) |
| ✓ | accuracy | 100.0% | (sinh.f64 y) |
| ✓ | accuracy | 99.7% | (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sinh.f64 y))) |
| ✓ | accuracy | 99.5% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sinh.f64 y))) (sin.f64 x)) |
| 58.0ms | 108× | 2 | exit |
| 42.0ms | 147× | 0 | valid |
| 2.0ms | 1× | 5 | exit |
Compiled 187 to 34 computations (81.8% saved)
ival-mult: 25.0ms (34.3% of total)const: 14.0ms (19.2% of total)ival-add: 9.0ms (12.3% of total)adjust: 8.0ms (11% of total)ival-div: 8.0ms (11% of total)ival-sin: 8.0ms (11% of total)ival-sinh: 2.0ms (2.7% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (/ 1 x) (/ 1 (sinh y)))> |
#<alt (* (/ (/ 1 x) (/ 1 (sinh y))) (sin x))> |
#<alt (/ 1 x)> |
#<alt (/ 1 (sinh y))> |
#<alt (+ (* (+ (* (* y y) 1/120) 1/6) (* y (* y y))) y)> |
#<alt (+ (* (* y y) 1/120) 1/6)> |
#<alt (* y y)> |
#<alt (* y (* y y))> |
#<alt (+ (* y (+ (* 1/6 (* y y)) 1)) (* (* x x) (* (+ (* 1/6 (* y (* y y))) y) (+ (* 1/120 (* x x)) -1/6))))> |
#<alt (+ (* 1/6 (* y y)) 1)> |
#<alt (* (* x x) (* (+ (* 1/6 (* y (* y y))) y) (+ (* 1/120 (* x x)) -1/6)))> |
#<alt (/ 1 (/ x (* y (sin x))))> |
#<alt (/ x (* y (sin x)))> |
#<alt (* y (sin x))> |
#<alt (sin x)> |
#<alt (sinh y)> |
#<alt (* (+ (* 1/6 (* y (* y y))) y) (+ (* 1/120 (* x x)) -1/6))> |
#<alt (+ (* 1/120 (* x x)) -1/6)> |
| Outputs |
|---|
#<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 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))))> |
#<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 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 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 (* 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 (* 1/120 (pow y 2))))))> |
#<alt (* 1/120 (pow y 5))> |
#<alt (* (pow y 5) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))> |
#<alt (* (pow y 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))> |
#<alt (* 1/120 (pow y 5))> |
#<alt (* (pow y 5) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* -1 (* (pow y 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 2))) 1/120)))> |
#<alt (* -1 (* (pow y 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 2))) 1/120)))> |
#<alt 1/6> |
#<alt (+ 1/6 (* 1/120 (pow y 2)))> |
#<alt (+ 1/6 (* 1/120 (pow y 2)))> |
#<alt (+ 1/6 (* 1/120 (pow y 2)))> |
#<alt (* 1/120 (pow y 2))> |
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* 1/120 (pow y 2))> |
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 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 (* y (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))> |
#<alt (* y (+ 1 (+ (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (* (pow y 2) (+ 1/6 (* 1/6 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))))> |
#<alt (* y (+ 1 (+ (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (* (pow y 2) (+ 1/6 (* 1/6 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))))> |
#<alt (* y (+ 1 (+ (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (* (pow y 2) (+ 1/6 (* 1/6 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))))> |
#<alt (* (pow y 3) (+ 1/6 (* 1/6 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))> |
#<alt (* (pow y 3) (+ 1/6 (+ (* 1/6 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (pow y 2))))))> |
#<alt (* (pow y 3) (+ 1/6 (+ (* 1/6 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (pow y 2))))))> |
#<alt (* (pow y 3) (+ 1/6 (+ (* 1/6 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (pow y 2))))))> |
#<alt (* -1 (* (pow y 3) (- (* -1/6 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) 1/6)))> |
#<alt (* -1 (* (pow y 3) (- (+ (* -1 (/ (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (pow y 2))) (* -1/6 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) (+ 1/6 (/ 1 (pow y 2))))))> |
#<alt (* -1 (* (pow y 3) (- (+ (* -1 (/ (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (pow y 2))) (* -1/6 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) (+ 1/6 (/ 1 (pow y 2))))))> |
#<alt (* -1 (* (pow y 3) (- (+ (* -1 (/ (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (pow y 2))) (* -1/6 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) (+ 1/6 (/ 1 (pow y 2))))))> |
#<alt (* y (+ 1 (* 1/6 (pow y 2))))> |
#<alt (+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* y (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (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 (* 1/6 (pow y 2)))) (* (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)))) (/ (* y (+ 1 (* 1/6 (pow y 2)))) (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)))) (/ (* y (+ 1 (* 1/6 (pow y 2)))) (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)))) (/ (* y (+ 1 (* 1/6 (pow y 2)))) (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)))) (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 4)))))> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))> |
#<alt (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3)))))> |
#<alt (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* 1/120 (* (pow x 2) (+ y (* 1/6 (pow y 3)))))))> |
#<alt (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* 1/120 (* (pow x 2) (+ y (* 1/6 (pow y 3)))))))> |
#<alt (* (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))))))> |
#<alt (* (pow x 4) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (* 1/120 (+ 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))))))> |
#<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 2) (* y (- (* 1/120 (pow x 2)) 1/6)))> |
#<alt (* y (+ (* 1/6 (* (pow x 2) (* (pow y 2) (- (* 1/120 (pow x 2)) 1/6)))) (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))> |
#<alt (* y (+ (* 1/6 (* (pow x 2) (* (pow y 2) (- (* 1/120 (pow x 2)) 1/6)))) (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))> |
#<alt (* y (+ (* 1/6 (* (pow x 2) (* (pow y 2) (- (* 1/120 (pow x 2)) 1/6)))) (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))> |
#<alt (* 1/6 (* (pow x 2) (* (pow y 3) (- (* 1/120 (pow x 2)) 1/6))))> |
#<alt (* (pow y 3) (+ (* 1/6 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) (/ (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (pow y 2))))> |
#<alt (* (pow y 3) (+ (* 1/6 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) (/ (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (pow y 2))))> |
#<alt (* (pow y 3) (+ (* 1/6 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) (/ (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (pow y 2))))> |
#<alt (* 1/6 (* (pow x 2) (* (pow y 3) (- (* 1/120 (pow x 2)) 1/6))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (pow y 2))) (* -1/6 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (pow y 2))) (* -1/6 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (pow y 2))) (* -1/6 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))> |
#<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 (/ 1 y)> |
#<alt (+ (* 1/6 (/ (pow x 2) y)) (/ 1 y))> |
#<alt (+ (* (pow x 2) (+ (* 7/360 (/ (pow x 2) y)) (* 1/6 (/ 1 y)))) (/ 1 y))> |
#<alt (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 31/15120 (/ (pow x 2) y)) (* 7/360 (/ 1 y)))) (* 1/6 (/ 1 y)))) (/ 1 y))> |
#<alt (/ x (* y (sin x)))> |
#<alt (/ x (* y (sin x)))> |
#<alt (/ x (* y (sin x)))> |
#<alt (/ x (* y (sin x)))> |
#<alt (/ x (* y (sin x)))> |
#<alt (/ x (* y (sin x)))> |
#<alt (/ x (* y (sin x)))> |
#<alt (/ x (* y (sin x)))> |
#<alt (/ x (* y (sin x)))> |
#<alt (/ x (* y (sin x)))> |
#<alt (/ x (* y (sin x)))> |
#<alt (/ x (* y (sin x)))> |
#<alt (/ x (* y (sin x)))> |
#<alt (/ x (* y (sin x)))> |
#<alt (/ x (* y (sin x)))> |
#<alt (/ x (* y (sin x)))> |
#<alt (/ x (* y (sin x)))> |
#<alt (/ x (* y (sin x)))> |
#<alt (/ x (* y (sin x)))> |
#<alt (/ x (* 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 (* 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 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))))> |
#<alt (* y (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* y (- (+ (* 1/120 (pow x 2)) (* 1/6 (* (pow y 2) (- (* 1/120 (pow x 2)) 1/6)))) 1/6))> |
#<alt (* y (- (+ (* 1/120 (pow x 2)) (* 1/6 (* (pow y 2) (- (* 1/120 (pow x 2)) 1/6)))) 1/6))> |
#<alt (* y (- (+ (* 1/120 (pow x 2)) (* 1/6 (* (pow y 2) (- (* 1/120 (pow x 2)) 1/6)))) 1/6))> |
#<alt (* 1/6 (* (pow y 3) (- (* 1/120 (pow x 2)) 1/6)))> |
#<alt (* (pow y 3) (- (+ (* 1/120 (/ (pow x 2) (pow y 2))) (* 1/6 (- (* 1/120 (pow x 2)) 1/6))) (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 3) (- (+ (* 1/120 (/ (pow x 2) (pow y 2))) (* 1/6 (- (* 1/120 (pow x 2)) 1/6))) (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 3) (- (+ (* 1/120 (/ (pow x 2) (pow y 2))) (* 1/6 (- (* 1/120 (pow x 2)) 1/6))) (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* 1/6 (* (pow y 3) (- (* 1/120 (pow x 2)) 1/6)))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* 1/120 (pow x 2)) 1/6) (pow y 2))) (* -1/6 (- (* 1/120 (pow x 2)) 1/6)))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* 1/120 (pow x 2)) 1/6) (pow y 2))) (* -1/6 (- (* 1/120 (pow x 2)) 1/6)))))> |
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (- (* 1/120 (pow x 2)) 1/6) (pow y 2))) (* -1/6 (- (* 1/120 (pow x 2)) 1/6)))))> |
#<alt (* -1/6 (+ y (* 1/6 (pow y 3))))> |
#<alt (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* 1/120 (* (pow x 2) (+ y (* 1/6 (pow y 3))))))> |
#<alt (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* 1/120 (* (pow x 2) (+ y (* 1/6 (pow y 3))))))> |
#<alt (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* 1/120 (* (pow x 2) (+ y (* 1/6 (pow y 3))))))> |
#<alt (* 1/120 (* (pow x 2) (+ y (* 1/6 (pow y 3)))))> |
#<alt (* (pow x 2) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (* 1/120 (+ y (* 1/6 (pow y 3))))))> |
#<alt (* (pow x 2) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (* 1/120 (+ y (* 1/6 (pow y 3))))))> |
#<alt (* (pow x 2) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (* 1/120 (+ y (* 1/6 (pow y 3))))))> |
#<alt (* 1/120 (* (pow x 2) (+ y (* 1/6 (pow y 3)))))> |
#<alt (* (pow x 2) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (* 1/120 (+ y (* 1/6 (pow y 3))))))> |
#<alt (* (pow x 2) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (* 1/120 (+ y (* 1/6 (pow y 3))))))> |
#<alt (* (pow x 2) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (* 1/120 (+ y (* 1/6 (pow y 3))))))> |
#<alt -1/6> |
#<alt (- (* 1/120 (pow x 2)) 1/6)> |
#<alt (- (* 1/120 (pow x 2)) 1/6)> |
#<alt (- (* 1/120 (pow x 2)) 1/6)> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
78 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 246.0ms | y | @ | inf | (/ 1 (sinh y)) |
| 7.0ms | y | @ | 0 | (+ (* y (+ (* 1/6 (* y y)) 1)) (* (* x x) (* (+ (* 1/6 (* y (* y y))) y) (+ (* 1/120 (* x x)) -1/6)))) |
| 1.0ms | y | @ | -inf | (+ (* y (+ (* 1/6 (* y y)) 1)) (* (* x x) (* (+ (* 1/6 (* y (* y y))) y) (+ (* 1/120 (* x x)) -1/6)))) |
| 1.0ms | y | @ | inf | (+ (* y (+ (* 1/6 (* y y)) 1)) (* (* x x) (* (+ (* 1/6 (* y (* y y))) y) (+ (* 1/120 (* x x)) -1/6)))) |
| 1.0ms | y | @ | -inf | (/ 1 (sinh y)) |
| 1× | batch-egg-rewrite |
| 7 542× | accelerator-lowering-fma.f32 |
| 7 542× | accelerator-lowering-fma.f64 |
| 4 438× | *-lowering-*.f32 |
| 4 438× | *-lowering-*.f64 |
| 3 956× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 151 |
| 1 | 199 | 139 |
| 2 | 1616 | 139 |
| 0 | 8276 | 126 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ 1 x) (/ 1 (sinh y))) |
(* (/ (/ 1 x) (/ 1 (sinh y))) (sin x)) |
(/ 1 x) |
(/ 1 (sinh y)) |
(+ (* (+ (* (* y y) 1/120) 1/6) (* y (* y y))) y) |
(+ (* (* y y) 1/120) 1/6) |
(* y y) |
(* y (* y y)) |
(+ (* y (+ (* 1/6 (* y y)) 1)) (* (* x x) (* (+ (* 1/6 (* y (* y y))) y) (+ (* 1/120 (* x x)) -1/6)))) |
(+ (* 1/6 (* y y)) 1) |
(* (* x x) (* (+ (* 1/6 (* y (* y y))) y) (+ (* 1/120 (* x x)) -1/6))) |
(/ 1 (/ x (* y (sin x)))) |
(/ x (* y (sin x))) |
(* y (sin x)) |
(sin x) |
(sinh y) |
(* (+ (* 1/6 (* y (* y y))) y) (+ (* 1/120 (* x x)) -1/6)) |
(+ (* 1/120 (* x x)) -1/6) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 x (sinh.f64 y))) #s(literal -1 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) (*.f64 (log.f64 (sinh.f64 y)) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (sinh.f64 y) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (sinh.f64 y) (neg.f64 x))) |
(-.f64 (/.f64 (*.f64 (exp.f64 y) #s(literal 1/2 binary64)) x) (/.f64 (*.f64 (exp.f64 (neg.f64 y)) #s(literal 1/2 binary64)) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sinh.f64 y))) (*.f64 #s(literal -1 binary64) (/.f64 (sinh.f64 y) x))) |
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sinh.f64 y) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (sinh.f64 y))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (neg.f64 x) (sinh.f64 y)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (sinh.f64 y))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 x) (sinh.f64 y)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) (neg.f64 x)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sinh.f64 y))) |
(/.f64 (sinh.f64 y) x) |
(/.f64 (/.f64 (sinh.f64 y) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (sinh.f64 y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (sinh.f64 y)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) (neg.f64 x))) |
(/.f64 (neg.f64 (sinh.f64 y)) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (sinh.f64 y))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (/.f64 (sinh.f64 y) x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) #s(literal -2 binary64)) |
(pow.f64 (/.f64 x (sinh.f64 y)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 y) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (sinh.f64 y)) |
(*.f64 (sinh.f64 y) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (sinh.f64 y) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (sinh.f64 y) x))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (sinh.f64 y)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x (sinh.f64 y))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 y)) (neg.f64 x)))) |
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (sinh.f64 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 (sinh.f64 y)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sinh.f64 y) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (sinh.f64 y) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y)))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (sinh.f64 y) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (sinh.f64 y) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (sinh.f64 y) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sinh.f64 y) #s(literal -1/2 binary64)))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (fma.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (fma.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
| 1× | egg-herbie |
| 19 022× | accelerator-lowering-fma.f32 |
| 19 022× | accelerator-lowering-fma.f64 |
| 6 306× | *-lowering-*.f32 |
| 6 306× | *-lowering-*.f64 |
| 5 258× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 271 | 3870 |
| 1 | 894 | 3715 |
| 2 | 3101 | 3345 |
| 0 | 8047 | 3130 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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 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)))) |
(+ (* -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 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 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 (* 1/6 (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)))))) |
(* 1/120 (pow y 5)) |
(* (pow y 5) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* (pow y 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* 1/120 (pow y 5)) |
(* (pow y 5) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 2))) 1/120))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 2))) 1/120))) |
1/6 |
(+ 1/6 (* 1/120 (pow y 2))) |
(+ 1/6 (* 1/120 (pow y 2))) |
(+ 1/6 (* 1/120 (pow y 2))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 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) |
(* y (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* y (+ 1 (+ (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (* (pow y 2) (+ 1/6 (* 1/6 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))))) |
(* y (+ 1 (+ (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (* (pow y 2) (+ 1/6 (* 1/6 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))))) |
(* y (+ 1 (+ (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (* (pow y 2) (+ 1/6 (* 1/6 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))))) |
(* (pow y 3) (+ 1/6 (* 1/6 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))) |
(* (pow y 3) (+ 1/6 (+ (* 1/6 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (pow y 2)))))) |
(* (pow y 3) (+ 1/6 (+ (* 1/6 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (pow y 2)))))) |
(* (pow y 3) (+ 1/6 (+ (* 1/6 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) (+ (/ 1 (pow y 2)) (/ (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (pow y 2)))))) |
(* -1 (* (pow y 3) (- (* -1/6 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) 1/6))) |
(* -1 (* (pow y 3) (- (+ (* -1 (/ (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (pow y 2))) (* -1/6 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) (+ 1/6 (/ 1 (pow y 2)))))) |
(* -1 (* (pow y 3) (- (+ (* -1 (/ (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (pow y 2))) (* -1/6 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) (+ 1/6 (/ 1 (pow y 2)))))) |
(* -1 (* (pow y 3) (- (+ (* -1 (/ (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (pow y 2))) (* -1/6 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) (+ 1/6 (/ 1 (pow y 2)))))) |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(+ (* -1/6 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) (* y (+ 1 (* 1/6 (pow y 2))))) |
(+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* 1/120 (* (pow x 2) (+ y (* 1/6 (pow y 3)))))))) |
(+ (* y (+ 1 (* 1/6 (pow y 2)))) (* (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)))) (/ (* y (+ 1 (* 1/6 (pow y 2)))) (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)))) (/ (* y (+ 1 (* 1/6 (pow y 2)))) (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)))) (/ (* y (+ 1 (* 1/6 (pow y 2)))) (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)))) (/ (* y (+ 1 (* 1/6 (pow y 2)))) (pow x 4))))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* 1/6 (pow y 2))) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* -1/6 (* (pow x 2) (+ 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))))))) |
(* (pow x 2) (+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* 1/120 (* (pow x 2) (+ 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)))))) |
(* (pow x 4) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (* 1/120 (+ 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)))))) |
(* (pow x 4) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (* 1/120 (+ y (* 1/6 (pow y 3)))))) |
(* (pow x 2) (* y (- (* 1/120 (pow x 2)) 1/6))) |
(* y (+ (* 1/6 (* (pow x 2) (* (pow y 2) (- (* 1/120 (pow x 2)) 1/6)))) (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* y (+ (* 1/6 (* (pow x 2) (* (pow y 2) (- (* 1/120 (pow x 2)) 1/6)))) (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* y (+ (* 1/6 (* (pow x 2) (* (pow y 2) (- (* 1/120 (pow x 2)) 1/6)))) (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* 1/6 (* (pow x 2) (* (pow y 3) (- (* 1/120 (pow x 2)) 1/6)))) |
(* (pow y 3) (+ (* 1/6 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) (/ (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (pow y 2)))) |
(* (pow y 3) (+ (* 1/6 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) (/ (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (pow y 2)))) |
(* (pow y 3) (+ (* 1/6 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) (/ (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (pow y 2)))) |
(* 1/6 (* (pow x 2) (* (pow y 3) (- (* 1/120 (pow x 2)) 1/6)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (pow y 2))) (* -1/6 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (pow y 2))) (* -1/6 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (pow y 2))) (* -1/6 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
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) |
(/ 1 y) |
(+ (* 1/6 (/ (pow x 2) y)) (/ 1 y)) |
(+ (* (pow x 2) (+ (* 7/360 (/ (pow x 2) y)) (* 1/6 (/ 1 y)))) (/ 1 y)) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 31/15120 (/ (pow x 2) y)) (* 7/360 (/ 1 y)))) (* 1/6 (/ 1 y)))) (/ 1 y)) |
(/ 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 (* 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) |
(* 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)) |
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)))) |
(* y (- (* 1/120 (pow x 2)) 1/6)) |
(* y (- (+ (* 1/120 (pow x 2)) (* 1/6 (* (pow y 2) (- (* 1/120 (pow x 2)) 1/6)))) 1/6)) |
(* y (- (+ (* 1/120 (pow x 2)) (* 1/6 (* (pow y 2) (- (* 1/120 (pow x 2)) 1/6)))) 1/6)) |
(* y (- (+ (* 1/120 (pow x 2)) (* 1/6 (* (pow y 2) (- (* 1/120 (pow x 2)) 1/6)))) 1/6)) |
(* 1/6 (* (pow y 3) (- (* 1/120 (pow x 2)) 1/6))) |
(* (pow y 3) (- (+ (* 1/120 (/ (pow x 2) (pow y 2))) (* 1/6 (- (* 1/120 (pow x 2)) 1/6))) (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 3) (- (+ (* 1/120 (/ (pow x 2) (pow y 2))) (* 1/6 (- (* 1/120 (pow x 2)) 1/6))) (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 3) (- (+ (* 1/120 (/ (pow x 2) (pow y 2))) (* 1/6 (- (* 1/120 (pow x 2)) 1/6))) (* 1/6 (/ 1 (pow y 2))))) |
(* 1/6 (* (pow y 3) (- (* 1/120 (pow x 2)) 1/6))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* 1/120 (pow x 2)) 1/6) (pow y 2))) (* -1/6 (- (* 1/120 (pow x 2)) 1/6))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* 1/120 (pow x 2)) 1/6) (pow y 2))) (* -1/6 (- (* 1/120 (pow x 2)) 1/6))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* 1/120 (pow x 2)) 1/6) (pow y 2))) (* -1/6 (- (* 1/120 (pow x 2)) 1/6))))) |
(* -1/6 (+ y (* 1/6 (pow y 3)))) |
(+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* 1/120 (* (pow x 2) (+ y (* 1/6 (pow y 3)))))) |
(+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* 1/120 (* (pow x 2) (+ y (* 1/6 (pow y 3)))))) |
(+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* 1/120 (* (pow x 2) (+ y (* 1/6 (pow y 3)))))) |
(* 1/120 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) |
(* (pow x 2) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (* 1/120 (+ y (* 1/6 (pow y 3)))))) |
(* (pow x 2) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (* 1/120 (+ y (* 1/6 (pow y 3)))))) |
(* (pow x 2) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (* 1/120 (+ y (* 1/6 (pow y 3)))))) |
(* 1/120 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) |
(* (pow x 2) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (* 1/120 (+ y (* 1/6 (pow y 3)))))) |
(* (pow x 2) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (* 1/120 (+ y (* 1/6 (pow y 3)))))) |
(* (pow x 2) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (* 1/120 (+ y (* 1/6 (pow y 3)))))) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* 1/120 (pow x 2)) 1/6) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
| Outputs |
|---|
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.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 #s(literal 1/6 binary64) (*.f64 y y) #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 y (*.f64 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 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) |
(* 1/2 (/ (- (exp y) (/ 1 (exp y))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.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 (*.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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (*.f64 x x) #s(literal -1/10080 binary64) #s(literal 1/240 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)) (*.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) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (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 y (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 (sin.f64 x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 (sin.f64 x) x))) |
(* y (+ (* (pow y 2) (+ (* 1/6 (/ (sin x) x)) (* (pow y 2) (+ (* 1/5040 (/ (* (pow y 2) (sin x)) x)) (* 1/120 (/ (sin x) x)))))) (/ (sin x) x))) |
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (/.f64 (sin.f64 x) x) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #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) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x) |
(* 1/2 (/ (* (sin x) (- (exp y) (/ 1 (exp y)))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (* -1/6 (pow y 2))) y) |
(/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) y) |
(/ (+ 1 (* (pow y 2) (- (* 7/360 (pow y 2)) 1/6))) y) |
(/.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) y) |
(/ (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 7/360 (* -31/15120 (pow y 2)))) 1/6))) y) |
(/.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -31/15120 binary64) #s(literal 7/360 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) y) |
(/ 2 (- (exp y) (/ 1 (exp y)))) |
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/ 2 (- (exp y) (/ 1 (exp y)))) |
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/ 2 (- (exp y) (/ 1 (exp y)))) |
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/ 2 (- (exp y) (/ 1 (exp y)))) |
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/ 2 (- (exp y) (/ 1 (exp y)))) |
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/ 2 (- (exp y) (/ 1 (exp y)))) |
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/ 2 (- (exp y) (/ 1 (exp y)))) |
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(/ 2 (- (exp y) (/ 1 (exp y)))) |
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
y |
(* y (+ 1 (* 1/6 (pow y 2)))) |
(fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(fma.f64 y (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(fma.f64 y (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) y) |
(* 1/120 (pow y 5)) |
(*.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 5 binary64))) |
(* (pow y 5) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(* (pow y 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(*.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))))) |
(* (pow y 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(*.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))))) |
(* 1/120 (pow y 5)) |
(*.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 5 binary64))) |
(* (pow y 5) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 2))) 1/120))) |
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 y y)) #s(literal -1/120 binary64)) (neg.f64 (pow.f64 y #s(literal 5 binary64)))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 2))) 1/120))) |
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 y y)) #s(literal -1/120 binary64)) (neg.f64 (pow.f64 y #s(literal 5 binary64)))) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/120 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/120 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/120 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* 1/120 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/120 binary64))) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* 1/120 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/120 binary64))) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
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(*.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (fma.f64 x (/.f64 x (*.f64 y y)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (pow y 2))) (* -1/6 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (fma.f64 x (/.f64 x (*.f64 y y)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) (pow y 2))) (* -1/6 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))))) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (fma.f64 x (/.f64 x (*.f64 y y)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
y |
(+ y (* -1/6 (* (pow x 2) y))) |
(fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y))))) |
(fma.f64 y (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y)))))) |
(fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) 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 (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 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* 1/6 (/ (pow x 2) y)) (/ 1 y)) |
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(+ (* (pow x 2) (+ (* 7/360 (/ (pow x 2) y)) (* 1/6 (/ 1 y)))) (/ 1 y)) |
(fma.f64 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 31/15120 (/ (pow x 2) y)) (* 7/360 (/ 1 y)))) (* 1/6 (/ 1 y)))) (/ 1 y)) |
(fma.f64 (*.f64 x x) (fma.f64 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 x x) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (/.f64 #s(literal 1/6 binary64) y)) (/.f64 #s(literal 1 binary64) y)) |
(/ x (* y (sin x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/ x (* y (sin x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/ x (* y (sin x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/ x (* y (sin x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/ x (* y (sin x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/ x (* y (sin x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/ x (* y (sin x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/ x (* y (sin x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/ x (* y (sin x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/ x (* y (sin x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/ x (* y (sin x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/ x (* y (sin x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/ x (* y (sin x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/ x (* y (sin x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/ x (* y (sin x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/ x (* y (sin x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/ x (* y (sin x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/ x (* y (sin x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/ x (* y (sin x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(/ x (* y (sin x))) |
(/.f64 x (*.f64 y (sin.f64 x))) |
(* y (sin x)) |
(*.f64 y (sin.f64 x)) |
(* y (sin x)) |
(*.f64 y (sin.f64 x)) |
(* y (sin x)) |
(*.f64 y (sin.f64 x)) |
(* y (sin x)) |
(*.f64 y (sin.f64 x)) |
(* y (sin x)) |
(*.f64 y (sin.f64 x)) |
(* y (sin x)) |
(*.f64 y (sin.f64 x)) |
(* y (sin x)) |
(*.f64 y (sin.f64 x)) |
(* y (sin x)) |
(*.f64 y (sin.f64 x)) |
(* y (sin x)) |
(*.f64 y (sin.f64 x)) |
(* y (sin x)) |
(*.f64 y (sin.f64 x)) |
(* y (sin x)) |
(*.f64 y (sin.f64 x)) |
(* y (sin x)) |
(*.f64 y (sin.f64 x)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (* -1/6 (* (pow x 2) y)))) |
(*.f64 y (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) |
(* x (+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))) |
(*.f64 x (fma.f64 y (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)) |
(* x (+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))) |
(*.f64 x (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) y)) |
(* y (sin x)) |
(*.f64 y (sin.f64 x)) |
(* y (sin x)) |
(*.f64 y (sin.f64 x)) |
(* y (sin x)) |
(*.f64 y (sin.f64 x)) |
(* y (sin x)) |
(*.f64 y (sin.f64 x)) |
(* y (sin x)) |
(*.f64 y (sin.f64 x)) |
(* y (sin x)) |
(*.f64 y (sin.f64 x)) |
(* y (sin x)) |
(*.f64 y (sin.f64 x)) |
(* y (sin x)) |
(*.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 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
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 y (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) y) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/120 (* 1/5040 (pow y 2)))))))) |
(fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* 1/2 (- (exp y) (/ 1 (exp y)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) |
(* y (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(* y (- (+ (* 1/120 (pow x 2)) (* 1/6 (* (pow y 2) (- (* 1/120 (pow x 2)) 1/6)))) 1/6)) |
(*.f64 y (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(* y (- (+ (* 1/120 (pow x 2)) (* 1/6 (* (pow y 2) (- (* 1/120 (pow x 2)) 1/6)))) 1/6)) |
(*.f64 y (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(* y (- (+ (* 1/120 (pow x 2)) (* 1/6 (* (pow y 2) (- (* 1/120 (pow x 2)) 1/6)))) 1/6)) |
(*.f64 y (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(* 1/6 (* (pow y 3) (- (* 1/120 (pow x 2)) 1/6))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(* (pow y 3) (- (+ (* 1/120 (/ (pow x 2) (pow y 2))) (* 1/6 (- (* 1/120 (pow x 2)) 1/6))) (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y y)))) |
(* (pow y 3) (- (+ (* 1/120 (/ (pow x 2) (pow y 2))) (* 1/6 (- (* 1/120 (pow x 2)) 1/6))) (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y y)))) |
(* (pow y 3) (- (+ (* 1/120 (/ (pow x 2) (pow y 2))) (* 1/6 (- (* 1/120 (pow x 2)) 1/6))) (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y y)))) |
(* 1/6 (* (pow y 3) (- (* 1/120 (pow x 2)) 1/6))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* 1/120 (pow x 2)) 1/6) (pow y 2))) (* -1/6 (- (* 1/120 (pow x 2)) 1/6))))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y y)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* 1/120 (pow x 2)) 1/6) (pow y 2))) (* -1/6 (- (* 1/120 (pow x 2)) 1/6))))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y y)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* 1/120 (pow x 2)) 1/6) (pow y 2))) (* -1/6 (- (* 1/120 (pow x 2)) 1/6))))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y y)))) |
(* -1/6 (+ y (* 1/6 (pow y 3)))) |
(fma.f64 (*.f64 y (*.f64 y y)) #s(literal -1/36 binary64) (*.f64 y #s(literal -1/6 binary64))) |
(+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* 1/120 (* (pow x 2) (+ y (* 1/6 (pow y 3)))))) |
(*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* 1/120 (* (pow x 2) (+ y (* 1/6 (pow y 3)))))) |
(*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(+ (* -1/6 (+ y (* 1/6 (pow y 3)))) (* 1/120 (* (pow x 2) (+ y (* 1/6 (pow y 3)))))) |
(*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(* 1/120 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)))) |
(* (pow x 2) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (* 1/120 (+ y (* 1/6 (pow y 3)))))) |
(*.f64 x (*.f64 x (*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))))) |
(* (pow x 2) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (* 1/120 (+ y (* 1/6 (pow y 3)))))) |
(*.f64 x (*.f64 x (*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))))) |
(* (pow x 2) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (* 1/120 (+ y (* 1/6 (pow y 3)))))) |
(*.f64 x (*.f64 x (*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))))) |
(* 1/120 (* (pow x 2) (+ y (* 1/6 (pow y 3))))) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)))) |
(* (pow x 2) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (* 1/120 (+ y (* 1/6 (pow y 3)))))) |
(*.f64 x (*.f64 x (*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))))) |
(* (pow x 2) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (* 1/120 (+ y (* 1/6 (pow y 3)))))) |
(*.f64 x (*.f64 x (*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))))) |
(* (pow x 2) (+ (* -1/6 (/ (+ y (* 1/6 (pow y 3))) (pow x 2))) (* 1/120 (+ y (* 1/6 (pow y 3)))))) |
(*.f64 x (*.f64 x (*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))))) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/120 (pow x 2)) 1/6) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(- (* 1/120 (pow x 2)) 1/6) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(- (* 1/120 (pow x 2)) 1/6) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(* 1/120 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
Compiled 41 978 to 2 819 computations (93.3% saved)
42 alts after pruning (38 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 124 | 25 | 1 149 |
| Fresh | 5 | 13 | 18 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 132 | 42 | 1 174 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 52.8% | (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
| 31.3% | (fma.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64)) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) (*.f64 y (*.f64 y y)) y) | |
| 31.3% | (fma.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) (*.f64 y (*.f64 y y)) y) | |
| 39.9% | (fma.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 y (*.f64 y y)) y) | |
| 33.1% | (fma.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) y) | |
| 39.9% | (fma.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) (*.f64 y (*.f64 y y)) y) | |
| ▶ | 42.1% | (fma.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
| ▶ | 52.8% | (fma.f64 (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) y y) |
| 52.5% | (fma.f64 (*.f64 y (*.f64 y #s(literal 1/120 binary64))) (*.f64 y (*.f64 y y)) y) | |
| 39.5% | (fma.f64 (*.f64 x x) (*.f64 y #s(literal -1/6 binary64)) y) | |
| 34.1% | (fma.f64 y (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) | |
| 39.5% | (fma.f64 y (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) y) | |
| 48.0% | (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) | |
| 48.3% | (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) | |
| 39.4% | (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) x) | |
| 20.7% | (/.f64 (*.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) y))) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (-.f64 y (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/36 binary64)))) (/.f64 x (sin.f64 x)))) | |
| 80.9% | (/.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) | |
| 70.0% | (/.f64 (*.f64 (sin.f64 x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) x) | |
| ✓ | 86.3% | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 43.1% | (/.f64 (*.f64 (sin.f64 x) y) x) | |
| 45.8% | (/.f64 (*.f64 x (sinh.f64 y)) x) | |
| 64.0% | (/.f64 (sin.f64 x) (/.f64 x y)) | |
| 43.3% | (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) y))) | |
| 18.9% | (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y x))) | |
| 52.8% | (/.f64 #s(literal 1 binary64) (/.f64 #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))) | |
| 29.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) | |
| 43.3% | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))) | |
| 55.2% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (sin.f64 x)) (/.f64 #s(literal 1 binary64) y))) | |
| 12.6% | (*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) | |
| 55.6% | (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) | |
| 69.7% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sinh.f64 y))) x) | |
| 23.0% | (*.f64 (/.f64 (*.f64 y (sin.f64 x)) (*.f64 x (*.f64 x x))) (*.f64 x x)) | |
| ▶ | 65.8% | (*.f64 (/.f64 y x) (sin.f64 x)) |
| 30.6% | (*.f64 (*.f64 (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (neg.f64 y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (neg.f64 y)))) | |
| 23.5% | (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) | |
| 35.5% | (*.f64 y (fma.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (fma.f64 x (/.f64 x (*.f64 y y)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) #s(literal 1 binary64))) | |
| ▶ | 39.5% | (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
| 39.4% | (*.f64 y (/.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x) x)) | |
| ✓ | 56.7% | (*.f64 y (/.f64 (sin.f64 x) x)) |
| ▶ | 90.8% | (*.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)))) |
| 40.4% | (*.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 5 binary64))) | |
| ✓ | 29.9% | y |
Compiled 1 523 to 821 computations (46.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 y x) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 y x) (sin.f64 x)) |
| ✓ | cost-diff | 0 | (*.f64 y y) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (*.f64 y (*.f64 y y))) |
| ✓ | cost-diff | 320 | (fma.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
| ✓ | cost-diff | 0 | (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) 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 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (sin.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 x) x) |
| ✓ | cost-diff | 0 | (*.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))) |
| ✓ | cost-diff | 0 | (*.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)))) |
| 8 460× | accelerator-lowering-fma.f32 |
| 8 460× | accelerator-lowering-fma.f64 |
| 4 544× | *-lowering-*.f32 |
| 4 544× | *-lowering-*.f64 |
| 3 208× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 248 |
| 1 | 117 | 236 |
| 2 | 327 | 230 |
| 3 | 981 | 230 |
| 4 | 2203 | 230 |
| 5 | 4918 | 230 |
| 6 | 6147 | 230 |
| 7 | 6416 | 230 |
| 8 | 6655 | 230 |
| 9 | 6821 | 230 |
| 10 | 6853 | 230 |
| 0 | 8452 | 209 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y (* (/ (sin x) x) (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1))) |
y |
(* (/ (sin x) x) (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1)) |
(/ (sin x) x) |
(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 |
(* y (+ (* x (* x -1/6)) 1)) |
y |
(+ (* x (* x -1/6)) 1) |
x |
(* x -1/6) |
-1/6 |
1 |
(+ (* (* (* y (+ (* y (* y 1/120)) 1/6)) y) y) y) |
(* (* y (+ (* y (* y 1/120)) 1/6)) y) |
(* y (+ (* y (* y 1/120)) 1/6)) |
y |
(+ (* y (* y 1/120)) 1/6) |
(* y 1/120) |
1/120 |
1/6 |
(+ (* (* (+ (* (* y y) (* (* y y) 1/14400)) -1/36) (* y (* y y))) (/ 1 (+ (* y (* y 1/120)) -1/6))) y) |
(* (+ (* (* y y) (* (* y y) 1/14400)) -1/36) (* y (* y y))) |
(+ (* (* y y) (* (* y y) 1/14400)) -1/36) |
(* y y) |
y |
(* (* y y) 1/14400) |
1/14400 |
-1/36 |
(* y (* y y)) |
(/ 1 (+ (* y (* y 1/120)) -1/6)) |
1 |
(+ (* y (* y 1/120)) -1/6) |
(* y 1/120) |
1/120 |
-1/6 |
(* (/ y x) (sin x)) |
(/ y x) |
y |
x |
(sin x) |
| Outputs |
|---|
(* y (* (/ (sin x) x) (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1))) |
(*.f64 (sin.f64 x) (/.f64 (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) x)) |
y |
(* (/ (sin x) x) (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1)) |
(*.f64 (sin.f64 x) (/.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)) x)) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(sin x) |
(sin.f64 x) |
x |
(+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1) |
(fma.f64 y (*.f64 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) |
(* y (+ (* x (* x -1/6)) 1)) |
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 y x) y) |
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) |
(+ (* (* (* y (+ (* y (* y 1/120)) 1/6)) y) y) y) |
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) |
(* (* y (+ (* y (* y 1/120)) 1/6)) y) |
(*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(* y (+ (* y (* y 1/120)) 1/6)) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
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) |
(+ (* (* (+ (* (* y y) (* (* y y) 1/14400)) -1/36) (* y (* y y))) (/ 1 (+ (* y (* y 1/120)) -1/6))) y) |
(fma.f64 (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64)) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
(* (+ (* (* y y) (* (* y y) 1/14400)) -1/36) (* y (* y y))) |
(*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64)))) |
(+ (* (* y y) (* (* y y) 1/14400)) -1/36) |
(fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64)) |
(* y y) |
(*.f64 y y) |
y |
(* (* y y) 1/14400) |
(*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) |
1/14400 |
#s(literal 1/14400 binary64) |
-1/36 |
#s(literal -1/36 binary64) |
(* y (* y y)) |
(*.f64 y (*.f64 y y)) |
(/ 1 (+ (* y (* y 1/120)) -1/6)) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
1 |
#s(literal 1 binary64) |
(+ (* 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) |
(* (/ y x) (sin x)) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/ y x) |
(/.f64 y x) |
y |
x |
(sin x) |
(sin.f64 x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 y x) |
| ✓ | accuracy | 100.0% | (sin.f64 x) |
| ✓ | accuracy | 90.5% | (*.f64 (/.f64 y x) (sin.f64 x)) |
| ✓ | accuracy | 99.8% | (*.f64 y #s(literal 1/120 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
| ✓ | accuracy | 82.5% | (fma.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
| ✓ | accuracy | 99.9% | (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) |
| ✓ | accuracy | 99.8% | (*.f64 y #s(literal 1/120 binary64)) |
| ✓ | accuracy | 99.6% | (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
| ✓ | accuracy | 99.8% | (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal -1/6 binary64)) |
| ✓ | accuracy | 94.8% | (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.9% | (*.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)))) |
| ✓ | accuracy | 99.8% | (*.f64 y #s(literal 1/120 binary64)) |
| ✓ | accuracy | 99.8% | (/.f64 (sin.f64 x) x) |
| ✓ | accuracy | 95.9% | (*.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))) |
| 176.0ms | 256× | 0 | valid |
Compiled 235 to 39 computations (83.4% saved)
ival-mult: 123.0ms (78.7% of total)const: 14.0ms (9% of total)ival-add: 7.0ms (4.5% of total)ival-sin: 7.0ms (4.5% of total)ival-div: 5.0ms (3.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* y (* (/ (sin x) x) (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1)))> |
#<alt (* (/ (sin x) x) (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1))> |
#<alt (/ (sin x) x)> |
#<alt (sin x)> |
#<alt (* y (+ (* x (* x -1/6)) 1))> |
#<alt (+ (* x (* x -1/6)) 1)> |
#<alt (* x -1/6)> |
#<alt (+ (* (* (* y (+ (* y (* y 1/120)) 1/6)) y) y) y)> |
#<alt (* (* y (+ (* y (* y 1/120)) 1/6)) y)> |
#<alt (* y (+ (* y (* y 1/120)) 1/6))> |
#<alt (+ (* y (* y 1/120)) 1/6)> |
#<alt (+ (* (* (+ (* (* y y) (* (* y y) 1/14400)) -1/36) (* y (* y y))) (/ 1 (+ (* y (* y 1/120)) -1/6))) y)> |
#<alt (* (+ (* (* y y) (* (* y y) 1/14400)) -1/36) (* y (* y y)))> |
#<alt (+ (* (* y y) (* (* y y) 1/14400)) -1/36)> |
#<alt (* y y)> |
#<alt (* (/ y x) (sin x))> |
#<alt (/ y x)> |
#<alt (* y 1/120)> |
#<alt (/ 1 (+ (* y (* y 1/120)) -1/6))> |
#<alt (* (* y y) 1/14400)> |
| 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) (+ (* 1/120 (/ (* (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 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))> |
#<alt (+ 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 (+ 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 (+ 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)))))) x)> |
#<alt (/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)> |
#<alt (/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)> |
#<alt (/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)> |
#<alt (/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)> |
#<alt (/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)> |
#<alt (/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)> |
#<alt (/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x)> |
#<alt (/ (sin x) x)> |
#<alt (+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x))> |
#<alt (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))> |
#<alt (+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))> |
#<alt (* 1/120 (/ (* (pow y 4) (sin x)) x))> |
#<alt (* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))> |
#<alt (* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))> |
#<alt (* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))> |
#<alt (* 1/120 (/ (* (pow y 4) (sin x)) x))> |
#<alt (* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2))))))> |
#<alt (* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))> |
#<alt (* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4))))))> |
#<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 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 (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* y (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* y (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* y (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* y (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* y (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* y (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* y (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* y (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* y (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* y (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* y (+ 1 (* -1/6 (pow x 2))))> |
#<alt y> |
#<alt (+ y (* -1/6 (* (pow x 2) y)))> |
#<alt (+ y (* -1/6 (* (pow x 2) y)))> |
#<alt (+ y (* -1/6 (* (pow x 2) y)))> |
#<alt (* -1/6 (* (pow x 2) y))> |
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))> |
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))> |
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))> |
#<alt (* -1/6 (* (pow x 2) y))> |
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))> |
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))> |
#<alt (* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2))))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow x 2)))> |
#<alt (+ 1 (* -1/6 (pow x 2)))> |
#<alt (+ 1 (* -1/6 (pow x 2)))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* -1/6 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> |
#<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 (* 1/120 (pow y 2))))))> |
#<alt (* 1/120 (pow y 5))> |
#<alt (* (pow y 5) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))> |
#<alt (* (pow y 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))> |
#<alt (* 1/120 (pow y 5))> |
#<alt (* (pow y 5) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* -1 (* (pow y 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 2))) 1/120)))> |
#<alt (* -1 (* (pow y 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 2))) 1/120)))> |
#<alt (* 1/6 (pow y 2))> |
#<alt (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))> |
#<alt (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))> |
#<alt (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))> |
#<alt (* 1/120 (pow y 4))> |
#<alt (* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* 1/120 (pow y 4))> |
#<alt (* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* 1/6 y)> |
#<alt (* y (+ 1/6 (* 1/120 (pow y 2))))> |
#<alt (* y (+ 1/6 (* 1/120 (pow y 2))))> |
#<alt (* y (+ 1/6 (* 1/120 (pow y 2))))> |
#<alt (* 1/120 (pow y 3))> |
#<alt (* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* 1/120 (pow y 3))> |
#<alt (* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt 1/6> |
#<alt (+ 1/6 (* 1/120 (pow y 2)))> |
#<alt (+ 1/6 (* 1/120 (pow y 2)))> |
#<alt (+ 1/6 (* 1/120 (pow y 2)))> |
#<alt (* 1/120 (pow y 2))> |
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* 1/120 (pow y 2))> |
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt 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 (* 1/120 (pow y 2))))))> |
#<alt (* 1/120 (pow y 5))> |
#<alt (* (pow y 5) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))> |
#<alt (* (pow y 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))> |
#<alt (* 1/120 (pow y 5))> |
#<alt (* (pow y 5) (+ 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* -1 (* (pow y 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 2))) 1/120)))> |
#<alt (* -1 (* (pow y 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 2))) 1/120)))> |
#<alt (* -1/36 (pow y 3))> |
#<alt (* (pow y 3) (- (* 1/14400 (pow y 4)) 1/36))> |
#<alt (* (pow y 3) (- (* 1/14400 (pow y 4)) 1/36))> |
#<alt (* (pow y 3) (- (* 1/14400 (pow y 4)) 1/36))> |
#<alt (* 1/14400 (pow y 7))> |
#<alt (* (pow y 7) (- 1/14400 (* 1/36 (/ 1 (pow y 4)))))> |
#<alt (* (pow y 7) (- 1/14400 (* 1/36 (/ 1 (pow y 4)))))> |
#<alt (* (pow y 7) (- 1/14400 (* 1/36 (/ 1 (pow y 4)))))> |
#<alt (* 1/14400 (pow y 7))> |
#<alt (* -1 (* (pow y 7) (- (* 1/36 (/ 1 (pow y 4))) 1/14400)))> |
#<alt (* -1 (* (pow y 7) (- (* 1/36 (/ 1 (pow y 4))) 1/14400)))> |
#<alt (* -1 (* (pow y 7) (- (* 1/36 (/ 1 (pow y 4))) 1/14400)))> |
#<alt -1/36> |
#<alt (- (* 1/14400 (pow y 4)) 1/36)> |
#<alt (- (* 1/14400 (pow y 4)) 1/36)> |
#<alt (- (* 1/14400 (pow y 4)) 1/36)> |
#<alt (* 1/14400 (pow y 4))> |
#<alt (* (pow y 4) (- 1/14400 (* 1/36 (/ 1 (pow y 4)))))> |
#<alt (* (pow y 4) (- 1/14400 (* 1/36 (/ 1 (pow y 4)))))> |
#<alt (* (pow y 4) (- 1/14400 (* 1/36 (/ 1 (pow y 4)))))> |
#<alt (* 1/14400 (pow y 4))> |
#<alt (* (pow y 4) (- 1/14400 (* 1/36 (/ 1 (pow y 4)))))> |
#<alt (* (pow y 4) (- 1/14400 (* 1/36 (/ 1 (pow y 4)))))> |
#<alt (* (pow y 4) (- 1/14400 (* 1/36 (/ 1 (pow y 4)))))> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt y> |
#<alt (+ y (* -1/6 (* (pow x 2) y)))> |
#<alt (+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y)))))> |
#<alt (+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y))))))> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ (* y (sin x)) x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt -6> |
#<alt (- (* -3/10 (pow y 2)) 6)> |
#<alt (- (* (pow y 2) (- (* -3/200 (pow y 2)) 3/10)) 6)> |
#<alt (- (* (pow y 2) (- (* (pow y 2) (- (* -3/4000 (pow y 2)) 3/200)) 3/10)) 6)> |
#<alt (/ 120 (pow y 2))> |
#<alt (/ (+ 120 (* 2400 (/ 1 (pow y 2)))) (pow y 2))> |
#<alt (/ (+ 120 (+ (* 2400 (/ 1 (pow y 2))) (/ 48000 (pow y 4)))) (pow y 2))> |
#<alt (/ (+ 120 (+ (* 2400 (/ 1 (pow y 2))) (+ (* 960000 (/ 1 (pow y 6))) (/ 48000 (pow y 4))))) (pow y 2))> |
#<alt (/ 120 (pow y 2))> |
#<alt (/ (+ 120 (* 2400 (/ 1 (pow y 2)))) (pow y 2))> |
#<alt (/ (+ 120 (+ (* 2400 (/ 1 (pow y 2))) (/ 48000 (pow y 4)))) (pow y 2))> |
#<alt (/ (+ 120 (+ (* 2400 (/ 1 (pow y 2))) (+ (* 960000 (/ 1 (pow y 6))) (/ 48000 (pow y 4))))) (pow y 2))> |
#<alt (* 1/14400 (pow y 2))> |
#<alt (* 1/14400 (pow y 2))> |
#<alt (* 1/14400 (pow y 2))> |
#<alt (* 1/14400 (pow y 2))> |
#<alt (* 1/14400 (pow y 2))> |
#<alt (* 1/14400 (pow y 2))> |
#<alt (* 1/14400 (pow y 2))> |
#<alt (* 1/14400 (pow y 2))> |
#<alt (* 1/14400 (pow y 2))> |
#<alt (* 1/14400 (pow y 2))> |
#<alt (* 1/14400 (pow y 2))> |
#<alt (* 1/14400 (pow y 2))> |
75 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | y | @ | 0 | (+ (* (* (+ (* (* y y) (* (* y y) 1/14400)) -1/36) (* y (* y y))) (/ 1 (+ (* y (* y 1/120)) -1/6))) y) |
| 1.0ms | x | @ | -inf | (* y (* (/ (sin x) x) (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1))) |
| 1.0ms | x | @ | inf | (* y (* (/ (sin x) x) (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1))) |
| 1.0ms | y | @ | 0 | (* y (* (/ (sin x) x) (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1))) |
| 1.0ms | x | @ | 0 | (* y (* (/ (sin x) x) (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1))) |
| 1× | batch-egg-rewrite |
| 6 742× | accelerator-lowering-fma.f32 |
| 6 742× | accelerator-lowering-fma.f64 |
| 4 104× | /-lowering-/.f32 |
| 4 104× | /-lowering-/.f64 |
| 3 924× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 175 |
| 1 | 220 | 161 |
| 2 | 1791 | 161 |
| 0 | 8321 | 145 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y (* (/ (sin x) x) (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1))) |
(* (/ (sin x) x) (+ (* (* y y) (+ (* y (* y 1/120)) 1/6)) 1)) |
(/ (sin x) x) |
(sin x) |
(* y (+ (* x (* x -1/6)) 1)) |
(+ (* x (* x -1/6)) 1) |
(* x -1/6) |
(+ (* (* (* y (+ (* y (* y 1/120)) 1/6)) y) y) y) |
(* (* y (+ (* y (* y 1/120)) 1/6)) y) |
(* y (+ (* y (* y 1/120)) 1/6)) |
(+ (* y (* y 1/120)) 1/6) |
(+ (* (* (+ (* (* y y) (* (* y y) 1/14400)) -1/36) (* y (* y y))) (/ 1 (+ (* y (* y 1/120)) -1/6))) y) |
(* (+ (* (* y y) (* (* y y) 1/14400)) -1/36) (* y (* y y))) |
(+ (* (* y y) (* (* y y) 1/14400)) -1/36) |
(* y y) |
(* (/ y x) (sin x)) |
(/ y x) |
(* y 1/120) |
(/ 1 (+ (* y (* y 1/120)) -1/6)) |
(* (* y y) 1/14400) |
| Outputs |
|---|
(+.f64 (*.f64 (sin.f64 x) (/.f64 y x)) (*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(+.f64 (*.f64 (sin.f64 x) (/.f64 y x)) (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (sin.f64 x) (/.f64 y x)))) |
(+.f64 (*.f64 y (/.f64 (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (sin.f64 x)) x)) (*.f64 (sin.f64 x) (/.f64 y x))) |
(+.f64 (*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (*.f64 (sin.f64 x) (/.f64 y x))) |
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (sin.f64 x)) x) y) (*.f64 (sin.f64 x) (/.f64 y x))) |
(+.f64 (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (sin.f64 x) (/.f64 y x))) (*.f64 (sin.f64 x) (/.f64 y x))) |
(fma.f64 y (/.f64 (sin.f64 x) x) (*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(fma.f64 y (/.f64 (sin.f64 x) x) (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (sin.f64 x) (/.f64 y x)))) |
(fma.f64 y (/.f64 (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (sin.f64 x)) x) (*.f64 (sin.f64 x) (/.f64 y x))) |
(fma.f64 (sin.f64 x) (/.f64 y x) (*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(fma.f64 (sin.f64 x) (/.f64 y x) (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (sin.f64 x) (/.f64 y x)))) |
(fma.f64 (/.f64 (sin.f64 x) x) y (*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(fma.f64 (/.f64 (sin.f64 x) x) y (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (sin.f64 x) (/.f64 y x)))) |
(fma.f64 (/.f64 (sin.f64 x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(fma.f64 (/.f64 (sin.f64 x) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (sin.f64 x) (/.f64 y x)))) |
(fma.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (sin.f64 x) (/.f64 y x)) (*.f64 (sin.f64 x) (/.f64 y x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 y x)) (*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (/.f64 y x)) (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (sin.f64 x) (/.f64 y x)))) |
(fma.f64 (/.f64 y x) (sin.f64 x) (*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(fma.f64 (/.f64 y x) (sin.f64 x) (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (sin.f64 x) (/.f64 y x)))) |
(fma.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(fma.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))) (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (sin.f64 x) (/.f64 y x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (/.f64 #s(literal 1 binary64) (sin.f64 x))) (*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (/.f64 #s(literal 1 binary64) (sin.f64 x))) (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (sin.f64 x) (/.f64 y x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (sin.f64 x) (/.f64 y x)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (sin.f64 x)) x) y (*.f64 (sin.f64 x) (/.f64 y x))) |
(fma.f64 (*.f64 (sin.f64 x) (/.f64 y x)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (sin.f64 x) (/.f64 y x))) |
(fma.f64 (*.f64 (sin.f64 x) (/.f64 y x)) #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(fma.f64 (*.f64 (sin.f64 x) (/.f64 y x)) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (sin.f64 x) (/.f64 y x)))) |
(fma.f64 (*.f64 y (sin.f64 x)) (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(fma.f64 (*.f64 y (sin.f64 x)) (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (sin.f64 x) (/.f64 y x)))) |
(fma.f64 (neg.f64 (*.f64 y (sin.f64 x))) (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(fma.f64 (neg.f64 (*.f64 y (sin.f64 x))) (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (sin.f64 x) (/.f64 y x)))) |
(fma.f64 (*.f64 y (neg.f64 (sin.f64 x))) (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(fma.f64 (*.f64 y (neg.f64 (sin.f64 x))) (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (sin.f64 x) (/.f64 y x)))) |
(fma.f64 (*.f64 (sin.f64 x) (neg.f64 y)) (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(fma.f64 (*.f64 (sin.f64 x) (neg.f64 y)) (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (sin.f64 x) (/.f64 y x)))) |
(fma.f64 (*.f64 (neg.f64 y) (sin.f64 x)) (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(fma.f64 (*.f64 (neg.f64 y) (sin.f64 x)) (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (sin.f64 x) (/.f64 y x)))) |
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (sin.f64 x) (neg.f64 x)) (*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (sin.f64 x) (neg.f64 x)) (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (sin.f64 x) (/.f64 y x)))) |
(fma.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 y (neg.f64 x)) (*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(fma.f64 (/.f64 (sin.f64 x) #s(literal -1 binary64)) (/.f64 y (neg.f64 x)) (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (sin.f64 x) (/.f64 y x)))) |
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (sin.f64 x) x) (*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (sin.f64 x) x) (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (sin.f64 x) (/.f64 y x)))) |
(/.f64 y (/.f64 x (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))) |
(/.f64 (/.f64 (sin.f64 x) x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 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)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) (*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.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))) |
(/.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 x (*.f64 y (sin.f64 x)))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) (/.f64 x (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 y x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 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 (*.f64 (sin.f64 x) (/.f64 y x)) (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.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) x) |
(/.f64 (neg.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))))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 x) (/.f64 y x)) (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.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)) (neg.f64 x)) |
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(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) |
(/.f64 (-.f64 (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) |
(/.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64))) |
(/.f64 (neg.f64 (-.f64 (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))) (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)))) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (neg.f64 (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(pow.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (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 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) |
(*.f64 (-.f64 (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)))) |
(*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) (-.f64 (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64))) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1/2985984000000 binary64))) #s(literal -1/46656 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1/207360000 binary64) #s(literal 1/1296 binary64)) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal -1/518400 binary64)))))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64)) (fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1/207360000 binary64) #s(literal -1/1296 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) #s(literal 1/36 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1/2985984000000 binary64))) #s(literal -1/46656 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1/207360000 binary64) #s(literal 1/1296 binary64)) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal -1/518400 binary64)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64)) (fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1/207360000 binary64) #s(literal -1/1296 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) #s(literal 1/36 binary64))))) |
(*.f64 y (*.f64 y #s(literal 1/14400 binary64))) |
(*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) |
(*.f64 #s(literal 1/14400 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y #s(literal 1/14400 binary64)) y) |
| 1× | egg-herbie |
| 16 054× | accelerator-lowering-fma.f32 |
| 16 054× | accelerator-lowering-fma.f64 |
| 5 932× | *-lowering-*.f32 |
| 5 932× | *-lowering-*.f64 |
| 4 424× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 223 | 2940 |
| 1 | 673 | 2812 |
| 2 | 2224 | 2680 |
| 3 | 5993 | 2630 |
| 0 | 8428 | 2465 |
| 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) (+ (* 1/120 (/ (* (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) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(+ 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)))))) |
(+ 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)))))) |
(+ 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)))))) x) |
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(/ (sin x) x) |
(+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)) |
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)) |
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)) |
(* 1/120 (/ (* (pow y 4) (sin x)) x)) |
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2)))))) |
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(* 1/120 (/ (* (pow y 4) (sin x)) x)) |
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2)))))) |
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
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) |
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 (+ 1 (* -1/6 (pow x 2)))) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
(* y (+ 1 (* -1/6 (pow x 2)))) |
y |
(+ y (* -1/6 (* (pow x 2) y))) |
(+ y (* -1/6 (* (pow x 2) y))) |
(+ y (* -1/6 (* (pow x 2) y))) |
(* -1/6 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2)))) |
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2)))) |
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2)))) |
(* -1/6 (* (pow x 2) y)) |
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2)))) |
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2)))) |
(* (pow x 2) (+ (* -1/6 y) (/ y (pow x 2)))) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* -1/6 (pow x 2))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* -1/6 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 |
(* 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 (* 1/120 (pow y 2)))))) |
(* 1/120 (pow y 5)) |
(* (pow y 5) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* (pow y 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* 1/120 (pow y 5)) |
(* (pow y 5) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 2))) 1/120))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 2))) 1/120))) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* 1/6 y) |
(* y (+ 1/6 (* 1/120 (pow y 2)))) |
(* y (+ 1/6 (* 1/120 (pow y 2)))) |
(* y (+ 1/6 (* 1/120 (pow y 2)))) |
(* 1/120 (pow y 3)) |
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* 1/120 (pow y 3)) |
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 3) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
1/6 |
(+ 1/6 (* 1/120 (pow y 2))) |
(+ 1/6 (* 1/120 (pow y 2))) |
(+ 1/6 (* 1/120 (pow y 2))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
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 (* 1/120 (pow y 2)))))) |
(* 1/120 (pow y 5)) |
(* (pow y 5) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* (pow y 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4))))) |
(* 1/120 (pow y 5)) |
(* (pow y 5) (+ 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 2))) 1/120))) |
(* -1 (* (pow y 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow y 2))) (pow y 2))) 1/120))) |
(* -1/36 (pow y 3)) |
(* (pow y 3) (- (* 1/14400 (pow y 4)) 1/36)) |
(* (pow y 3) (- (* 1/14400 (pow y 4)) 1/36)) |
(* (pow y 3) (- (* 1/14400 (pow y 4)) 1/36)) |
(* 1/14400 (pow y 7)) |
(* (pow y 7) (- 1/14400 (* 1/36 (/ 1 (pow y 4))))) |
(* (pow y 7) (- 1/14400 (* 1/36 (/ 1 (pow y 4))))) |
(* (pow y 7) (- 1/14400 (* 1/36 (/ 1 (pow y 4))))) |
(* 1/14400 (pow y 7)) |
(* -1 (* (pow y 7) (- (* 1/36 (/ 1 (pow y 4))) 1/14400))) |
(* -1 (* (pow y 7) (- (* 1/36 (/ 1 (pow y 4))) 1/14400))) |
(* -1 (* (pow y 7) (- (* 1/36 (/ 1 (pow y 4))) 1/14400))) |
-1/36 |
(- (* 1/14400 (pow y 4)) 1/36) |
(- (* 1/14400 (pow y 4)) 1/36) |
(- (* 1/14400 (pow y 4)) 1/36) |
(* 1/14400 (pow y 4)) |
(* (pow y 4) (- 1/14400 (* 1/36 (/ 1 (pow y 4))))) |
(* (pow y 4) (- 1/14400 (* 1/36 (/ 1 (pow y 4))))) |
(* (pow y 4) (- 1/14400 (* 1/36 (/ 1 (pow y 4))))) |
(* 1/14400 (pow y 4)) |
(* (pow y 4) (- 1/14400 (* 1/36 (/ 1 (pow y 4))))) |
(* (pow y 4) (- 1/14400 (* 1/36 (/ 1 (pow y 4))))) |
(* (pow y 4) (- 1/14400 (* 1/36 (/ 1 (pow y 4))))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
y |
(+ y (* -1/6 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y))))) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y)))))) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ (* y (sin x)) x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* 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) |
-6 |
(- (* -3/10 (pow y 2)) 6) |
(- (* (pow y 2) (- (* -3/200 (pow y 2)) 3/10)) 6) |
(- (* (pow y 2) (- (* (pow y 2) (- (* -3/4000 (pow y 2)) 3/200)) 3/10)) 6) |
(/ 120 (pow y 2)) |
(/ (+ 120 (* 2400 (/ 1 (pow y 2)))) (pow y 2)) |
(/ (+ 120 (+ (* 2400 (/ 1 (pow y 2))) (/ 48000 (pow y 4)))) (pow y 2)) |
(/ (+ 120 (+ (* 2400 (/ 1 (pow y 2))) (+ (* 960000 (/ 1 (pow y 6))) (/ 48000 (pow y 4))))) (pow y 2)) |
(/ 120 (pow y 2)) |
(/ (+ 120 (* 2400 (/ 1 (pow y 2)))) (pow y 2)) |
(/ (+ 120 (+ (* 2400 (/ 1 (pow y 2))) (/ 48000 (pow y 4)))) (pow y 2)) |
(/ (+ 120 (+ (* 2400 (/ 1 (pow y 2))) (+ (* 960000 (/ 1 (pow y 6))) (/ 48000 (pow y 4))))) (pow y 2)) |
(* 1/14400 (pow y 2)) |
(* 1/14400 (pow y 2)) |
(* 1/14400 (pow y 2)) |
(* 1/14400 (pow y 2)) |
(* 1/14400 (pow y 2)) |
(* 1/14400 (pow y 2)) |
(* 1/14400 (pow y 2)) |
(* 1/14400 (pow y 2)) |
(* 1/14400 (pow y 2)) |
(* 1/14400 (pow y 2)) |
(* 1/14400 (pow y 2)) |
(* 1/14400 (pow y 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 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(* 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 (/.f64 (*.f64 y (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) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x))) |
(*.f64 y (fma.f64 (*.f64 y (/.f64 (*.f64 y (sin.f64 x)) x)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (/.f64 (sin.f64 x) x))) |
(* 1/120 (/ (* (pow y 5) (sin x)) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (*.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 5 binary64)))) |
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2)))))) |
(*.f64 (pow.f64 y #s(literal 5 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(*.f64 (pow.f64 y #s(literal 5 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (+.f64 #s(literal 1/120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))))) |
(* (pow y 5) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(*.f64 (pow.f64 y #s(literal 5 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (+.f64 #s(literal 1/120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))))) |
(* 1/120 (/ (* (pow y 5) (sin x)) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (*.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 5 binary64)))) |
(* -1 (* (pow y 5) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x))))) |
(*.f64 (pow.f64 y #s(literal 5 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))) |
(*.f64 (pow.f64 y #s(literal 5 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (+.f64 #s(literal 1/120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))))) |
(* -1 (* (pow y 5) (+ (* -1 (/ (sin x) (* x (pow y 4)))) (+ (* -1/6 (/ (sin x) (* x (pow y 2)))) (* -1/120 (/ (sin x) x)))))) |
(*.f64 (pow.f64 y #s(literal 5 binary64)) (*.f64 (/.f64 (sin.f64 x) x) (+.f64 #s(literal 1/120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))))) |
(* y (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) |
(+ (* -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))))))) |
(*.f64 y (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(+ (* 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))))))))))) |
(*.f64 (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(+ (* 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)))))))))))) |
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) |
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) |
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) |
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) |
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) |
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) |
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) |
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) |
(/ (* y (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) x) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y)) |
(+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/6 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* 1/120 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(*.f64 (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 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(+ 1 (+ (* (pow x 2) (+ (* -1/6 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2))))))) (* 1/120 (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))))))) (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) |
(fma.f64 (*.f64 x x) (*.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 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))) |
(/ (* (sin x) (+ 1 (* (pow y 2) (+ 1/6 (* 1/120 (pow y 2)))))) x) |
(*.f64 (/.f64 (sin.f64 x) 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)))))) x) |
(*.f64 (/.f64 (sin.f64 x) 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)))))) x) |
(*.f64 (/.f64 (sin.f64 x) 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)))))) x) |
(*.f64 (/.f64 (sin.f64 x) 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)))))) x) |
(*.f64 (/.f64 (sin.f64 x) 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)))))) x) |
(*.f64 (/.f64 (sin.f64 x) 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)))))) x) |
(*.f64 (/.f64 (sin.f64 x) 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)))))) x) |
(*.f64 (/.f64 (sin.f64 x) 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) x) |
(/.f64 (sin.f64 x) x) |
(+ (* 1/6 (/ (* (pow y 2) (sin x)) x)) (/ (sin x) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)) |
(fma.f64 (*.f64 y (/.f64 (*.f64 y (sin.f64 x)) x)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (/.f64 (sin.f64 x) x)) |
(+ (* (pow y 2) (+ (* 1/120 (/ (* (pow y 2) (sin x)) x)) (* 1/6 (/ (sin x) x)))) (/ (sin x) x)) |
(fma.f64 (*.f64 y (/.f64 (*.f64 y (sin.f64 x)) x)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (/.f64 (sin.f64 x) x)) |
(* 1/120 (/ (* (pow y 4) (sin x)) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))) |
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2)))))) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (/.f64 (sin.f64 x) x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (/.f64 (sin.f64 x) x) (+.f64 #s(literal 1/120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))))) |
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (/.f64 (sin.f64 x) x) (+.f64 #s(literal 1/120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))))) |
(* 1/120 (/ (* (pow y 4) (sin x)) x)) |
(*.f64 (/.f64 (sin.f64 x) x) (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))) |
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (* 1/6 (/ (sin x) (* x (pow y 2)))))) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (/.f64 (sin.f64 x) x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (/.f64 (sin.f64 x) x) (+.f64 #s(literal 1/120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))))) |
(* (pow y 4) (+ (* 1/120 (/ (sin x) x)) (+ (* 1/6 (/ (sin x) (* x (pow y 2)))) (/ (sin x) (* x (pow y 4)))))) |
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (/.f64 (sin.f64 x) x) (+.f64 #s(literal 1/120 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
(/ (sin x) x) |
(/.f64 (sin.f64 x) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #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 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
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(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(/ (* y (sin x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/ (* y (sin x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/ (* y (sin x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/ (* y (sin x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/ (* y (sin x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/ (* y (sin x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/ (* y (sin x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/ (* y (sin x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/ (* y (sin x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/ (* y (sin x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/ (* y (sin x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/ (* y (sin x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
y |
(+ y (* -1/6 (* (pow x 2) y))) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) y) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* 1/120 (* (pow x 2) y))))) |
(fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) y) |
(+ y (* (pow x 2) (+ (* -1/6 y) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) y)) (* 1/120 y)))))) |
(fma.f64 x (*.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) y) |
(/ (* y (sin x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/ (* y (sin x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/ (* y (sin x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/ (* y (sin x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/ (* y (sin x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/ (* y (sin x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/ (* y (sin x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/ (* y (sin x)) x) |
(/.f64 (*.f64 y (sin.f64 x)) x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(* 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)) |
-6 |
#s(literal -6 binary64) |
(- (* -3/10 (pow y 2)) 6) |
(fma.f64 (*.f64 y y) #s(literal -3/10 binary64) #s(literal -6 binary64)) |
(- (* (pow y 2) (- (* -3/200 (pow y 2)) 3/10)) 6) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -3/200 binary64) #s(literal -3/10 binary64)) #s(literal -6 binary64)) |
(- (* (pow y 2) (- (* (pow y 2) (- (* -3/4000 (pow y 2)) 3/200)) 3/10)) 6) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -3/4000 binary64) #s(literal -3/200 binary64)) #s(literal -3/10 binary64)) #s(literal -6 binary64)) |
(/ 120 (pow y 2)) |
(/.f64 #s(literal 120 binary64) (*.f64 y y)) |
(/ (+ 120 (* 2400 (/ 1 (pow y 2)))) (pow y 2)) |
(/.f64 (+.f64 #s(literal 120 binary64) (/.f64 #s(literal 2400 binary64) (*.f64 y y))) (*.f64 y y)) |
(/ (+ 120 (+ (* 2400 (/ 1 (pow y 2))) (/ 48000 (pow y 4)))) (pow y 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 2400 binary64) (*.f64 y y)) (+.f64 #s(literal 120 binary64) (/.f64 #s(literal 48000 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (*.f64 y y)) |
(/ (+ 120 (+ (* 2400 (/ 1 (pow y 2))) (+ (* 960000 (/ 1 (pow y 6))) (/ 48000 (pow y 4))))) (pow y 2)) |
(/.f64 (+.f64 #s(literal 120 binary64) (+.f64 (+.f64 (/.f64 #s(literal 2400 binary64) (*.f64 y y)) (/.f64 #s(literal 48000 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (/.f64 #s(literal 960000 binary64) (pow.f64 y #s(literal 6 binary64))))) (*.f64 y y)) |
(/ 120 (pow y 2)) |
(/.f64 #s(literal 120 binary64) (*.f64 y y)) |
(/ (+ 120 (* 2400 (/ 1 (pow y 2)))) (pow y 2)) |
(/.f64 (+.f64 #s(literal 120 binary64) (/.f64 #s(literal 2400 binary64) (*.f64 y y))) (*.f64 y y)) |
(/ (+ 120 (+ (* 2400 (/ 1 (pow y 2))) (/ 48000 (pow y 4)))) (pow y 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 2400 binary64) (*.f64 y y)) (+.f64 #s(literal 120 binary64) (/.f64 #s(literal 48000 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (*.f64 y y)) |
(/ (+ 120 (+ (* 2400 (/ 1 (pow y 2))) (+ (* 960000 (/ 1 (pow y 6))) (/ 48000 (pow y 4))))) (pow y 2)) |
(/.f64 (+.f64 #s(literal 120 binary64) (+.f64 (+.f64 (/.f64 #s(literal 2400 binary64) (*.f64 y y)) (/.f64 #s(literal 48000 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (/.f64 #s(literal 960000 binary64) (pow.f64 y #s(literal 6 binary64))))) (*.f64 y y)) |
(* 1/14400 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/14400 binary64))) |
(* 1/14400 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/14400 binary64))) |
(* 1/14400 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/14400 binary64))) |
(* 1/14400 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/14400 binary64))) |
(* 1/14400 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/14400 binary64))) |
(* 1/14400 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/14400 binary64))) |
(* 1/14400 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/14400 binary64))) |
(* 1/14400 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/14400 binary64))) |
(* 1/14400 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/14400 binary64))) |
(* 1/14400 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/14400 binary64))) |
(* 1/14400 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/14400 binary64))) |
(* 1/14400 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal 1/14400 binary64))) |
Compiled 47 211 to 3 282 computations (93% saved)
49 alts after pruning (41 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 452 | 18 | 1 470 |
| Fresh | 10 | 23 | 33 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 463 | 49 | 1 512 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 52.8% | (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
| 42.1% | (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/36 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) | |
| 52.8% | (fma.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) y) y y) | |
| 39.9% | (fma.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) (*.f64 y (*.f64 y y)) y) | |
| 32.7% | (fma.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) y) | |
| 18.5% | (fma.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 120 binary64) (*.f64 y y)) y) | |
| 41.7% | (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) | |
| ✓ | 52.8% | (fma.f64 (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) y y) |
| 52.5% | (fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y) y y) | |
| 48.0% | (fma.f64 (*.f64 (*.f64 y #s(literal 1/6 binary64)) y) y y) | |
| 52.5% | (fma.f64 (*.f64 y (*.f64 y #s(literal 1/120 binary64))) (*.f64 y (*.f64 y y)) y) | |
| 39.5% | (fma.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x y) | |
| 39.5% | (fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y) | |
| 39.5% | (fma.f64 (*.f64 x x) (*.f64 y #s(literal -1/6 binary64)) y) | |
| 34.1% | (fma.f64 y (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) | |
| 48.3% | (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) | |
| 32.7% | (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64)) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) | |
| 20.7% | (/.f64 (*.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) y))) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (-.f64 y (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/36 binary64)))) (/.f64 x (sin.f64 x)))) | |
| 80.9% | (/.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) | |
| 70.0% | (/.f64 (*.f64 (sin.f64 x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) x) | |
| ✓ | 86.3% | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 43.1% | (/.f64 (*.f64 (sin.f64 x) y) x) | |
| 45.8% | (/.f64 (*.f64 x (sinh.f64 y)) x) | |
| 64.0% | (/.f64 (sin.f64 x) (/.f64 x y)) | |
| 52.8% | (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| 43.3% | (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) y))) | |
| 18.9% | (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y x))) | |
| 52.8% | (/.f64 #s(literal 1 binary64) (/.f64 #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))) | |
| 29.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) | |
| 43.3% | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))) | |
| 55.2% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (sin.f64 x)) (/.f64 #s(literal 1 binary64) y))) | |
| 12.6% | (*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) | |
| 55.6% | (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) | |
| 69.7% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sinh.f64 y))) x) | |
| 23.0% | (*.f64 (/.f64 (*.f64 y (sin.f64 x)) (*.f64 x (*.f64 x x))) (*.f64 x x)) | |
| ✓ | 65.8% | (*.f64 (/.f64 y x) (sin.f64 x)) |
| 49.9% | (*.f64 (/.f64 y x) x) | |
| 32.7% | (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)))) | |
| 23.5% | (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) | |
| ✓ | 39.5% | (*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
| 29.5% | (*.f64 y (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))) | |
| 33.6% | (*.f64 y (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) | |
| ✓ | 56.7% | (*.f64 y (/.f64 (sin.f64 x) x)) |
| 53.0% | (*.f64 y (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| ✓ | 90.8% | (*.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)))) |
| 13.3% | (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) | |
| 40.4% | (*.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 5 binary64))) | |
| 13.3% | (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) | |
| ✓ | 29.9% | y |
Compiled 2 120 to 726 computations (65.8% saved)
| Inputs |
|---|
y |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 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) |
(fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x y) |
(fma.f64 (*.f64 (*.f64 y #s(literal 1/6 binary64)) y) y y) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(fma.f64 (*.f64 y (*.f64 y #s(literal 1/120 binary64))) (*.f64 y (*.f64 y y)) y) |
(fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y) y y) |
(*.f64 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))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y x))) |
(fma.f64 y (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
(fma.f64 (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) y y) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(*.f64 y (/.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x) 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 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) x) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) y) y y) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) |
(/.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) x) |
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 y (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #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))) |
(*.f64 y (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) y))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 120 binary64) (*.f64 y y)) y) |
(fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 y (*.f64 y y)) y) |
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) (*.f64 y (*.f64 y y)) y) |
(*.f64 y (fma.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (fma.f64 x (/.f64 x (*.f64 y y)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/36 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) x) |
(*.f64 y (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64)) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64)) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) (*.f64 y (*.f64 y y)) y) |
(fma.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) (*.f64 y (*.f64 y y)) y) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) y) |
(*.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 5 binary64))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (neg.f64 y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (neg.f64 y)))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) y) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(/.f64 (*.f64 x (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 x) y) x) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sin.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) x) |
(/.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) x) |
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (sinh.f64 y)) x) |
(*.f64 (/.f64 (*.f64 y (sin.f64 x)) (*.f64 x (*.f64 x x))) (*.f64 x x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sinh.f64 y))) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (sin.f64 x)) (/.f64 #s(literal 1 binary64) y))) |
(*.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)))) |
(/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y)) (/.f64 x (sin.f64 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 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sinh.f64 y))) (sin.f64 x)) |
(*.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) y))) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (-.f64 y (*.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal 1/36 binary64)))) (/.f64 x (sin.f64 x)))) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) #s(literal 1/2 binary64)) #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)))) |
| Outputs |
|---|
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
4 calls:
| 23.0ms | x |
| 21.0ms | y |
| 21.0ms | (sinh.f64 y) |
| 19.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | y |
| 99.5% | 1 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 99.5% | 1 | (sinh.f64 y) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
y |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 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) |
(fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x y) |
(fma.f64 (*.f64 (*.f64 y #s(literal 1/6 binary64)) y) y y) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(fma.f64 (*.f64 y (*.f64 y #s(literal 1/120 binary64))) (*.f64 y (*.f64 y y)) y) |
(fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y) y y) |
(*.f64 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))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y x))) |
(fma.f64 y (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
(fma.f64 (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) y y) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(*.f64 y (/.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x) 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 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) x) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) y) y y) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) |
(/.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) x) |
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 y (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #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))) |
(*.f64 y (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) y))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 120 binary64) (*.f64 y y)) y) |
(fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 y (*.f64 y y)) y) |
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) (*.f64 y (*.f64 y y)) y) |
(*.f64 y (fma.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (fma.f64 x (/.f64 x (*.f64 y y)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/36 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) x) |
(*.f64 y (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64)) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64)) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) (*.f64 y (*.f64 y y)) y) |
(fma.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) (*.f64 y (*.f64 y y)) y) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) y) |
(*.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 5 binary64))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (neg.f64 y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (neg.f64 y)))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) y) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(/.f64 (*.f64 x (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 x) y) x) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sin.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) x) |
(/.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) x) |
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (sinh.f64 y)) x) |
(*.f64 (/.f64 (*.f64 y (sin.f64 x)) (*.f64 x (*.f64 x x))) (*.f64 x x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sinh.f64 y))) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (sin.f64 x)) (/.f64 #s(literal 1 binary64) y))) |
(*.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)))) |
(/.f64 (*.f64 (sin.f64 x) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y)) (/.f64 x (sin.f64 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) |
| 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 (*.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)))) |
(/.f64 (*.f64 x (sinh.f64 y)) x) |
4 calls:
| 30.0ms | x |
| 21.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 18.0ms | y |
| 17.0ms | (sinh.f64 y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 2 | x |
| 98.9% | 3 | y |
| 99.6% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 94.5% | 2 | (sinh.f64 y) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
y |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 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) |
(fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x y) |
(fma.f64 (*.f64 (*.f64 y #s(literal 1/6 binary64)) y) y y) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(fma.f64 (*.f64 y (*.f64 y #s(literal 1/120 binary64))) (*.f64 y (*.f64 y y)) y) |
(fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y) y y) |
(*.f64 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))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y x))) |
(fma.f64 y (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
(fma.f64 (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) y y) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(*.f64 y (/.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x) 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 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) x) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) y) y y) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) |
(/.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) x) |
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 y (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #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))) |
(*.f64 y (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) y))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 120 binary64) (*.f64 y y)) y) |
(fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 y (*.f64 y y)) y) |
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) (*.f64 y (*.f64 y y)) y) |
(*.f64 y (fma.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (fma.f64 x (/.f64 x (*.f64 y y)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/36 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) x) |
(*.f64 y (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64)) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64)) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) (*.f64 y (*.f64 y y)) y) |
(fma.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) (*.f64 y (*.f64 y y)) y) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) y) |
(*.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 5 binary64))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (neg.f64 y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (neg.f64 y)))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) y) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
(/.f64 (*.f64 x (sinh.f64 y)) x) |
(/.f64 (*.f64 (sin.f64 x) y) x) |
(/.f64 (sin.f64 x) (/.f64 x y)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (sin.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) x) |
(/.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) x) |
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (sinh.f64 y)) x) |
(*.f64 (/.f64 (*.f64 y (sin.f64 x)) (*.f64 x (*.f64 x x))) (*.f64 x x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sinh.f64 y))) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (sin.f64 x)) (/.f64 #s(literal 1 binary64) 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 (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 x (sinh.f64 y)) x) |
1 calls:
| 16.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
y |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 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) |
(fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x y) |
(fma.f64 (*.f64 (*.f64 y #s(literal 1/6 binary64)) y) y y) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(fma.f64 (*.f64 y (*.f64 y #s(literal 1/120 binary64))) (*.f64 y (*.f64 y y)) y) |
(fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y) y y) |
(*.f64 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))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y x))) |
(fma.f64 y (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
(fma.f64 (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) y y) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(*.f64 y (/.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x) 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 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) x) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) y) y y) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) |
(/.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) x) |
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 y (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #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))) |
(*.f64 y (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) y))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 120 binary64) (*.f64 y y)) y) |
(fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 y (*.f64 y y)) y) |
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) (*.f64 y (*.f64 y y)) y) |
(*.f64 y (fma.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (fma.f64 x (/.f64 x (*.f64 y y)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/36 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) x) |
(*.f64 y (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64)) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64)) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) (*.f64 y (*.f64 y y)) y) |
(fma.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) (*.f64 y (*.f64 y y)) y) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) y) |
(*.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 5 binary64))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (neg.f64 y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (neg.f64 y)))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) y) |
(*.f64 y (/.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 y x) (sin.f64 x)) |
| 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 (/.f64 (sin.f64 x) x)) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) x) |
4 calls:
| 16.0ms | x |
| 15.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 15.0ms | y |
| 14.0ms | (sinh.f64 y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.9% | 2 | (sinh.f64 y) |
| 74.8% | 2 | x |
| 85.8% | 3 | y |
| 94.1% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
y |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 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) |
(fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x y) |
(fma.f64 (*.f64 (*.f64 y #s(literal 1/6 binary64)) y) y y) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(fma.f64 (*.f64 y (*.f64 y #s(literal 1/120 binary64))) (*.f64 y (*.f64 y y)) y) |
(fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y) y y) |
(*.f64 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))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y x))) |
(fma.f64 y (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
(fma.f64 (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) y y) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(*.f64 y (/.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x) 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 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) x) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) y) y y) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) |
(/.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) x) |
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 y (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #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))) |
(*.f64 y (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) y) (fma.f64 (*.f64 x x) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) y))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 120 binary64) (*.f64 y y)) y) |
(fma.f64 y (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 y (*.f64 y y)) y) |
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) (*.f64 y (*.f64 y y)) y) |
(*.f64 y (fma.f64 (*.f64 y y) (+.f64 #s(literal 1/6 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (fma.f64 x (/.f64 x (*.f64 y y)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal -1/36 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) x) |
(*.f64 y (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64)) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64)) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) (*.f64 y (*.f64 y y)) y) |
(fma.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) (*.f64 y (*.f64 y y)) y) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal 1/216 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) #s(literal 1/720 binary64))))) y) |
(*.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 5 binary64))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (neg.f64 y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (neg.f64 y)))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64)) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) 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 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 y (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
3 calls:
| 20.0ms | (sinh.f64 y) |
| 15.0ms | y |
| 12.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.0% | 2 | (sinh.f64 y) |
| 72.8% | 3 | y |
| 81.2% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
y |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 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) |
(fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x y) |
(fma.f64 (*.f64 (*.f64 y #s(literal 1/6 binary64)) y) y y) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(fma.f64 (*.f64 y (*.f64 y #s(literal 1/120 binary64))) (*.f64 y (*.f64 y y)) y) |
(fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y) y y) |
(*.f64 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))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y x))) |
(fma.f64 y (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
(fma.f64 (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) y y) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(*.f64 y (/.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x) 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 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) x) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) y) y y) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(*.f64 (*.f64 y (*.f64 y y)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) |
(/.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) x) |
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 y (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #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))) |
| 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 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))) |
(fma.f64 (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) y y) |
1 calls:
| 8.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.0% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
y |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 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) |
(fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x y) |
(fma.f64 (*.f64 (*.f64 y #s(literal 1/6 binary64)) y) y y) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(fma.f64 (*.f64 y (*.f64 y #s(literal 1/120 binary64))) (*.f64 y (*.f64 y y)) y) |
(fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y) y y) |
(*.f64 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))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y x))) |
(fma.f64 y (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
(fma.f64 (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) y y) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(*.f64 y (/.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x) 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 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 y (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) y)) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 y #s(literal 1/6 binary64)) y)) x) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/120 binary64) (*.f64 y #s(literal 1/6 binary64))) y) y 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 (/.f64 y x) x) |
(fma.f64 (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) y y) |
1 calls:
| 9.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.4% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
y |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 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) |
(fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x y) |
(fma.f64 (*.f64 (*.f64 y #s(literal 1/6 binary64)) y) y y) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(fma.f64 (*.f64 y (*.f64 y #s(literal 1/120 binary64))) (*.f64 y (*.f64 y y)) y) |
(fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y) y y) |
(*.f64 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))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y x))) |
(fma.f64 y (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
(fma.f64 (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) y y) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(*.f64 y (/.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x) x)) |
| Outputs |
|---|
(fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y) |
(*.f64 (/.f64 y x) x) |
(fma.f64 (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) y y) |
2 calls:
| 6.0ms | x |
| 5.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.4% | 2 | x |
| 74.5% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
y |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 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) |
(fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x y) |
(fma.f64 (*.f64 (*.f64 y #s(literal 1/6 binary64)) y) y y) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(fma.f64 (*.f64 y (*.f64 y #s(literal 1/120 binary64))) (*.f64 y (*.f64 y y)) y) |
(fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 1/120 binary64)))) y) y y) |
(*.f64 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))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y x))) |
(fma.f64 y (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y) |
| Outputs |
|---|
(fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y) |
(*.f64 (/.f64 y x) x) |
(fma.f64 (*.f64 y (*.f64 y #s(literal 1/120 binary64))) (*.f64 y (*.f64 y y)) y) |
1 calls:
| 8.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.1% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
y |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 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) |
(fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y) |
(fma.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) x y) |
(fma.f64 (*.f64 (*.f64 y #s(literal 1/6 binary64)) y) y y) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
| Outputs |
|---|
(fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y) |
(*.f64 (/.f64 y x) x) |
(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 |
|---|---|---|
| 59.1% | 2 | (sinh.f64 y) |
| 60.6% | 2 | y |
| 69.9% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
y |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 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 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) |
(*.f64 (/.f64 y x) x) |
(fma.f64 #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 |
|---|---|---|
| 69.9% | 3 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
y |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 y x) x) |
| Outputs |
|---|
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) |
(*.f64 (/.f64 y x) x) |
1 calls:
| 2.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.6% | 2 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
y |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
4 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (sinh.f64 y) |
| 2.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.5% | 1 | (sinh.f64 y) |
| 39.5% | 1 | x |
| 39.5% | 1 | y |
| 39.5% | 1 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
y |
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
| Outputs |
|---|
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) |
y |
4 calls:
| 27.0ms | y |
| 2.0ms | x |
| 2.0ms | (sinh.f64 y) |
| 2.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.4% | 2 | x |
| 39.4% | 2 | y |
| 40.7% | 2 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| 39.3% | 2 | (sinh.f64 y) |
Compiled 19 to 13 computations (31.6% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
y |
| Outputs |
|---|
y |
4 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (sinh.f64 y) |
| 1.0ms | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 29.9% | 1 | (sinh.f64 y) |
| 29.9% | 1 | y |
| 29.9% | 1 | x |
| 29.9% | 1 | (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) |
Compiled 19 to 13 computations (31.6% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.3580768519332846e-14 | 8.093475506992079e-11 |
| 0.0ms | -inf | -1.0261804776577754e-89 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.3580768519332846e-14 | 8.093475506992079e-11 |
| 0.0ms | -inf | -1.0261804776577754e-89 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.034905388116408e-30 | 2.416234140841029e-18 |
| 0.0ms | -inf | -1.0261804776577754e-89 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.791317192347774e-113 | 2.1693665479571124e-108 |
| 0.0ms | -6.822967043614987e-133 | -3.529424860308092e-162 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.3580768519332846e-14 | 8.093475506992079e-11 |
| 0.0ms | -6.822967043614987e-133 | -3.529424860308092e-162 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 5e-324 |
| 0.0ms | -1.256837042891218e-254 | -1.848540305939767e-257 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 5e-324 |
| 0.0ms | -1.256837042891218e-254 | -1.848540305939767e-257 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 5e-324 |
| 0.0ms | -1.256837042891218e-254 | -1.848540305939767e-257 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 5e-324 |
| 0.0ms | -1.256837042891218e-254 | -1.848540305939767e-257 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 5e-324 |
| 0.0ms | -1.256837042891218e-254 | -1.848540305939767e-257 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.256837042891218e-254 | -1.848540305939767e-257 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.256837042891218e-254 | -1.848540305939767e-257 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | egg-herbie |
| 48× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 589 |
| 1 | 115 | 589 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (*.f64 (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 6338253001141147/316912650057057350374175801344 binary64)) (*.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)))) (/.f64 (*.f64 x (sinh.f64 y)) x))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 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 6338253001141147/316912650057057350374175801344 binary64)) (*.f64 y (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 x (sinh.f64 y)) x))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 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 7136238463529799/713623846352979940529142984724747568191373312 binary64)) (*.f64 y (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) x))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -399583814440447/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 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 6931674235302037/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))) (*.f64 y (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -399583814440447/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 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 6338253001141147/316912650057057350374175801344 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))) (fma.f64 (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) y y))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -1320736327839163/132073632783916311588084946229129151629711831509030380531990177256668475639181214868604313971914296973668598748314282169720586889875671384312634744615734894227096670999751271042182879419106610263256058227052797101037007073187890434709599224691759119122384645224434499584 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 0 binary64)) (*.f64 (/.f64 y x) x) (fma.f64 (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) y y))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -1320736327839163/132073632783916311588084946229129151629711831509030380531990177256668475639181214868604313971914296973668598748314282169720586889875671384312634744615734894227096670999751271042182879419106610263256058227052797101037007073187890434709599224691759119122384645224434499584 binary64)) (fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 0 binary64)) (*.f64 (/.f64 y x) x) (fma.f64 (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) y y))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -1320736327839163/132073632783916311588084946229129151629711831509030380531990177256668475639181214868604313971914296973668598748314282169720586889875671384312634744615734894227096670999751271042182879419106610263256058227052797101037007073187890434709599224691759119122384645224434499584 binary64)) (fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 0 binary64)) (*.f64 (/.f64 y x) x) (fma.f64 (*.f64 y (*.f64 y #s(literal 1/120 binary64))) (*.f64 y (*.f64 y y)) y))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -1320736327839163/132073632783916311588084946229129151629711831509030380531990177256668475639181214868604313971914296973668598748314282169720586889875671384312634744615734894227096670999751271042182879419106610263256058227052797101037007073187890434709599224691759119122384645224434499584 binary64)) (fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 0 binary64)) (*.f64 (/.f64 y x) x) (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 -1320736327839163/132073632783916311588084946229129151629711831509030380531990177256668475639181214868604313971914296973668598748314282169720586889875671384312634744615734894227096670999751271042182879419106610263256058227052797101037007073187890434709599224691759119122384645224434499584 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 0 binary64)) (*.f64 (/.f64 y x) x) (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 -1320736327839163/132073632783916311588084946229129151629711831509030380531990177256668475639181214868604313971914296973668598748314282169720586889875671384312634744615734894227096670999751271042182879419106610263256058227052797101037007073187890434709599224691759119122384645224434499584 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) (*.f64 (/.f64 y x) x)) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -1320736327839163/132073632783916311588084946229129151629711831509030380531990177256668475639181214868604313971914296973668598748314282169720586889875671384312634744615734894227096670999751271042182879419106610263256058227052797101037007073187890434709599224691759119122384645224434499584 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) y) |
y |
| Outputs |
|---|
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 binary64)) (*.f64 (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 6338253001141147/316912650057057350374175801344 binary64)) (*.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)))) (/.f64 (*.f64 x (sinh.f64 y)) x))) |
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -inf.0 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 (sinh.f64 y) (sin.f64 x)) x) #s(literal 6338253001141147/316912650057057350374175801344 binary64)) (*.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)))) (/.f64 (*.f64 (sinh.f64 y) x) x))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -inf.0 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 6338253001141147/316912650057057350374175801344 binary64)) (*.f64 y (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 x (sinh.f64 y)) x))) |
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -inf.0 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 (sinh.f64 y) (sin.f64 x)) x) #s(literal 6338253001141147/316912650057057350374175801344 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 (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 7136238463529799/713623846352979940529142984724747568191373312 binary64)) (*.f64 y (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) x))) |
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -inf.0 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 (sinh.f64 y) (sin.f64 x)) x) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) (*.f64 y (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) (fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 y (*.f64 y y)) y)) x))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -399583814440447/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 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 6931674235302037/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))) (*.f64 y (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))) |
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -399583814440447/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 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 (sinh.f64 y) (sin.f64 x)) x) #s(literal 6931674235302037/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))) (*.f64 y (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -399583814440447/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 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 6338253001141147/316912650057057350374175801344 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))) (fma.f64 (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) y y))) |
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -399583814440447/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 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 (sinh.f64 y) (sin.f64 x)) x) #s(literal 6338253001141147/316912650057057350374175801344 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))) (fma.f64 (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) y y))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -1320736327839163/132073632783916311588084946229129151629711831509030380531990177256668475639181214868604313971914296973668598748314282169720586889875671384312634744615734894227096670999751271042182879419106610263256058227052797101037007073187890434709599224691759119122384645224434499584 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 0 binary64)) (*.f64 (/.f64 y x) x) (fma.f64 (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) y y))) |
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -1320736327839163/132073632783916311588084946229129151629711831509030380531990177256668475639181214868604313971914296973668598748314282169720586889875671384312634744615734894227096670999751271042182879419106610263256058227052797101037007073187890434709599224691759119122384645224434499584 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 (sinh.f64 y) (sin.f64 x)) x) #s(literal 0 binary64)) (*.f64 x (/.f64 y x)) (fma.f64 (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) y y))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -1320736327839163/132073632783916311588084946229129151629711831509030380531990177256668475639181214868604313971914296973668598748314282169720586889875671384312634744615734894227096670999751271042182879419106610263256058227052797101037007073187890434709599224691759119122384645224434499584 binary64)) (fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 0 binary64)) (*.f64 (/.f64 y x) x) (fma.f64 (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) y) y y))) |
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -1320736327839163/132073632783916311588084946229129151629711831509030380531990177256668475639181214868604313971914296973668598748314282169720586889875671384312634744615734894227096670999751271042182879419106610263256058227052797101037007073187890434709599224691759119122384645224434499584 binary64)) (fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y) (if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 0 binary64)) (*.f64 x (/.f64 y x)) (fma.f64 (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) y y))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -1320736327839163/132073632783916311588084946229129151629711831509030380531990177256668475639181214868604313971914296973668598748314282169720586889875671384312634744615734894227096670999751271042182879419106610263256058227052797101037007073187890434709599224691759119122384645224434499584 binary64)) (fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 0 binary64)) (*.f64 (/.f64 y x) x) (fma.f64 (*.f64 y (*.f64 y #s(literal 1/120 binary64))) (*.f64 y (*.f64 y y)) y))) |
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -1320736327839163/132073632783916311588084946229129151629711831509030380531990177256668475639181214868604313971914296973668598748314282169720586889875671384312634744615734894227096670999751271042182879419106610263256058227052797101037007073187890434709599224691759119122384645224434499584 binary64)) (fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y) (if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 0 binary64)) (*.f64 x (/.f64 y x)) (fma.f64 (*.f64 y (*.f64 y #s(literal 1/120 binary64))) (*.f64 y (*.f64 y y)) y))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -1320736327839163/132073632783916311588084946229129151629711831509030380531990177256668475639181214868604313971914296973668598748314282169720586889875671384312634744615734894227096670999751271042182879419106610263256058227052797101037007073187890434709599224691759119122384645224434499584 binary64)) (fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 0 binary64)) (*.f64 (/.f64 y x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y))) |
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -1320736327839163/132073632783916311588084946229129151629711831509030380531990177256668475639181214868604313971914296973668598748314282169720586889875671384312634744615734894227096670999751271042182879419106610263256058227052797101037007073187890434709599224691759119122384645224434499584 binary64)) (fma.f64 (*.f64 y x) (*.f64 x #s(literal -1/6 binary64)) y) (if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 0 binary64)) (*.f64 x (/.f64 y x)) (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 -1320736327839163/132073632783916311588084946229129151629711831509030380531990177256668475639181214868604313971914296973668598748314282169720586889875671384312634744615734894227096670999751271042182879419106610263256058227052797101037007073187890434709599224691759119122384645224434499584 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) (if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal 0 binary64)) (*.f64 (/.f64 y x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y)) y))) |
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -1320736327839163/132073632783916311588084946229129151629711831509030380531990177256668475639181214868604313971914296973668598748314282169720586889875671384312634744615734894227096670999751271042182879419106610263256058227052797101037007073187890434709599224691759119122384645224434499584 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) (if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal 0 binary64)) (*.f64 x (/.f64 y x)) (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 -1320736327839163/132073632783916311588084946229129151629711831509030380531990177256668475639181214868604313971914296973668598748314282169720586889875671384312634744615734894227096670999751271042182879419106610263256058227052797101037007073187890434709599224691759119122384645224434499584 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) (*.f64 (/.f64 y x) x)) |
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -1320736327839163/132073632783916311588084946229129151629711831509030380531990177256668475639181214868604313971914296973668598748314282169720586889875671384312634744615734894227096670999751271042182879419106610263256058227052797101037007073187890434709599224691759119122384645224434499584 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) (*.f64 x (/.f64 y x))) |
(*.f64 y (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x) #s(literal -1320736327839163/132073632783916311588084946229129151629711831509030380531990177256668475639181214868604313971914296973668598748314282169720586889875671384312634744615734894227096670999751271042182879419106610263256058227052797101037007073187890434709599224691759119122384645224434499584 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) y) |
(if (<=.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) x) #s(literal -1320736327839163/132073632783916311588084946229129151629711831509030380531990177256668475639181214868604313971914296973668598748314282169720586889875671384312634744615734894227096670999751271042182879419106610263256058227052797101037007073187890434709599224691759119122384645224434499584 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 x x))) y) |
y |
| 22 740× | accelerator-lowering-fma.f32 |
| 22 740× | accelerator-lowering-fma.f64 |
| 19 022× | accelerator-lowering-fma.f32 |
| 19 022× | accelerator-lowering-fma.f64 |
| 16 054× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 175 |
| 1 | 220 | 161 |
| 2 | 1791 | 161 |
| 0 | 8321 | 145 |
| 0 | 32 | 151 |
| 1 | 199 | 139 |
| 2 | 1616 | 139 |
| 0 | 8276 | 126 |
| 0 | 6 | 16 |
| 1 | 23 | 16 |
| 2 | 113 | 16 |
| 3 | 835 | 16 |
| 0 | 8221 | 16 |
| 0 | 350 | 4882 |
| 1 | 1219 | 4618 |
| 2 | 4393 | 4352 |
| 0 | 8058 | 4106 |
| 0 | 223 | 2940 |
| 1 | 673 | 2812 |
| 2 | 2224 | 2680 |
| 3 | 5993 | 2630 |
| 0 | 8428 | 2465 |
| 0 | 271 | 3870 |
| 1 | 894 | 3715 |
| 2 | 3101 | 3345 |
| 0 | 8047 | 3130 |
| 0 | 113 | 944 |
| 1 | 373 | 889 |
| 2 | 1229 | 849 |
| 3 | 3047 | 828 |
| 0 | 8158 | 792 |
| 0 | 31 | 142 |
| 1 | 165 | 140 |
| 2 | 1190 | 140 |
| 0 | 8365 | 131 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 564 to 690 computations (55.9% saved)
(abs x)
Compiled 1 584 to 382 computations (75.9% saved)
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