
Time bar (total: 10.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 831.0ms | 8 256× | 0 | valid |
ival-sin: 257.0ms (40.8% of total)ival-cosh: 215.0ms (34.2% of total)ival-mult: 87.0ms (13.8% of total)ival-div: 61.0ms (9.7% of total)ival-true: 6.0ms (1% of total)ival-assert: 3.0ms (0.5% of total)| 1× | egg-herbie |
| 1 408× | div-sub |
| 1 266× | distribute-lft-in |
| 1 178× | distribute-rgt-in |
| 796× | sub-neg |
| 704× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 41 |
| 1 | 61 | 37 |
| 2 | 186 | 37 |
| 3 | 490 | 37 |
| 4 | 1600 | 37 |
| 5 | 3315 | 37 |
| 6 | 4803 | 37 |
| 7 | 5790 | 37 |
| 8 | 6164 | 37 |
| 9 | 6257 | 37 |
| 10 | 6281 | 37 |
| 11 | 7599 | 37 |
| 0 | 6 | 7 |
| 0 | 10 | 7 |
| 1 | 19 | 7 |
| 2 | 34 | 7 |
| 3 | 60 | 7 |
| 4 | 96 | 7 |
| 5 | 136 | 7 |
| 6 | 208 | 7 |
| 7 | 354 | 7 |
| 8 | 713 | 7 |
| 9 | 786 | 7 |
| 10 | 829 | 7 |
| 11 | 829 | 7 |
| 0 | 829 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Outputs |
|---|
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
(abs y)
(abs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (/.f64 (sin.f64 y) y) |
| 0 | 0 | - | 0 | - | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 0 | 0 | - | 0 | - | (cosh.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 77.0ms | 512× | 0 | valid |
Compiled 56 to 28 computations (50% saved)
ival-sin: 38.0ms (65.6% of total)ival-div: 10.0ms (17.3% of total)ival-cosh: 5.0ms (8.6% of total)ival-mult: 4.0ms (6.9% 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 |
|---|---|---|
| ▶ | 99.9% | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Compiled 9 to 6 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 y) y) |
| ✓ | cost-diff | 0 | (cosh.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 420× | lower-*.f32 |
| 418× | lower-*.f64 |
| 276× | times-frac |
| 234× | associate-*l* |
| 220× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 0 | 10 | 17 |
| 1 | 19 | 17 |
| 2 | 34 | 17 |
| 3 | 60 | 17 |
| 4 | 96 | 17 |
| 5 | 136 | 17 |
| 6 | 208 | 17 |
| 7 | 354 | 17 |
| 8 | 713 | 17 |
| 9 | 786 | 17 |
| 10 | 829 | 17 |
| 11 | 829 | 17 |
| 0 | 829 | 17 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
(cosh.f64 x) |
x |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
| Outputs |
|---|
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
(cosh.f64 x) |
x |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 100.0% | (cosh.f64 x) |
| ✓ | accuracy | 100.0% | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| ✓ | accuracy | 99.8% | (/.f64 (sin.f64 y) y) |
| 21.0ms | 256× | 0 | valid |
Compiled 19 to 8 computations (57.9% saved)
ival-sin: 6.0ms (41.9% of total)ival-div: 4.0ms (28% of total)ival-cosh: 3.0ms (21% of total)ival-mult: 1.0ms (7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))> |
#<alt (cosh.f64 x)> |
#<alt (/.f64 (sin.f64 y) y)> |
#<alt (sin.f64 y)> |
| Outputs |
|---|
#<alt (/ (sin y) y)> |
#<alt (+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))> |
#<alt (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))> |
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))> |
#<alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))> |
#<alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (* (cosh x) (/ (sin y) y)) |
| 2.0ms | x | @ | inf | (* (cosh x) (/ (sin y) y)) |
| 2.0ms | x | @ | 0 | (cosh x) |
| 1.0ms | y | @ | inf | (* (cosh x) (/ (sin y) y)) |
| 1.0ms | y | @ | -inf | (* (cosh x) (/ (sin y) y)) |
| 1× | egg-herbie |
| 21 860× | lower-fma.f64 |
| 21 860× | lower-fma.f32 |
| 6 160× | lower-+.f64 |
| 6 160× | lower-+.f32 |
| 4 408× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 638 |
| 1 | 268 | 614 |
| 2 | 943 | 588 |
| 3 | 3164 | 569 |
| 0 | 8073 | 539 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
| Outputs |
|---|
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (sin.f64 y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
(fma.f64 (*.f64 x x) (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (/.f64 (sin.f64 y) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (*.f64 y #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/240 binary64)) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/10080 binary64)) #s(literal 1/240 binary64)) (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 y (*.f64 y #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (sin.f64 y) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
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) (- (* 1/120 (pow y 2)) 1/6)))) |
(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) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(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) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
| 1× | batch-egg-rewrite |
| 5 572× | lower-*.f32 |
| 5 570× | lower-*.f64 |
| 4 692× | lower-/.f32 |
| 4 690× | lower-/.f64 |
| 1 418× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 10 | 15 |
| 1 | 27 | 15 |
| 2 | 130 | 15 |
| 3 | 1025 | 15 |
| 0 | 8438 | 15 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
(cosh.f64 x) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
| Outputs |
|---|
(+.f64 (*.f64 (neg.f64 (/.f64 (cosh.f64 x) y)) #s(literal 0 binary64)) (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) |
(+.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (cosh.f64 x) y))) (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (cosh.f64 x) (sin.f64 y)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (neg.f64 y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (neg.f64 y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y (cosh.f64 x))) (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (neg.f64 y))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 y (/.f64 #s(literal 2 binary64) (sin.f64 y)))) (/.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 y (/.f64 #s(literal 2 binary64) (sin.f64 y))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 y (sin.f64 y)) #s(literal -2 binary64))) (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 y (sin.f64 y)) #s(literal -2 binary64)))) |
(fma.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (cosh.f64 x) y)) (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) |
(fma.f64 (neg.f64 (/.f64 (cosh.f64 x) y)) #s(literal 0 binary64) (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) |
(neg.f64 (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (neg.f64 y))) |
(neg.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 y (sin.f64 y)) #s(literal -2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (cosh.f64 x)) (/.f64 y (sin.f64 y)))) |
(neg.f64 (*.f64 (*.f64 (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sin.f64 y))) (/.f64 #s(literal -1/2 binary64) y))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (cosh.f64 x) (sin.f64 y))))) |
(neg.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal -2 binary64)) (*.f64 y (/.f64 #s(literal 2 binary64) (sin.f64 y))))) |
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) |
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) |
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) |
(/.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 y (/.f64 #s(literal 2 binary64) (sin.f64 y)))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 y (/.f64 #s(literal 2 binary64) (sin.f64 y))) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))) |
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (/.f64 y (cosh.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cosh.f64 x) (sin.f64 y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 x) (sin.f64 y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (*.f64 (cosh.f64 x) (sin.f64 y)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 #s(literal -1 binary64) (cosh.f64 x)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (neg.f64 (/.f64 y (cosh.f64 x))))) |
(/.f64 (*.f64 (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sin.f64 y))) (*.f64 y #s(literal 2 binary64))) |
(/.f64 (*.f64 (sin.f64 y) (*.f64 (cosh.f64 x) #s(literal -2 binary64))) (*.f64 y #s(literal -2 binary64))) |
(/.f64 (*.f64 (cosh.f64 x) (neg.f64 (sin.f64 y))) (neg.f64 y)) |
(/.f64 (*.f64 (cosh.f64 x) #s(literal -2 binary64)) (*.f64 (/.f64 y (sin.f64 y)) #s(literal -2 binary64))) |
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x)))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (*.f64 (*.f64 y (/.f64 #s(literal 2 binary64) (sin.f64 y))) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (*.f64 (*.f64 y (/.f64 #s(literal 2 binary64) (sin.f64 y))) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (expm1.f64 (+.f64 x x))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (*.f64 (*.f64 (/.f64 y (sin.f64 y)) #s(literal -2 binary64)) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x)))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 y (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x)))) (sin.f64 y)))) |
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x))) y) (sin.f64 y)))) |
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (*.f64 (/.f64 y (sin.f64 y)) (*.f64 #s(literal 4 binary64) (sinh.f64 x)))) |
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (*.f64 (*.f64 y (/.f64 #s(literal 2 binary64) (sin.f64 y))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) |
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (*.f64 (*.f64 (/.f64 y (sin.f64 y)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (sinh.f64 x)))) |
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (sinh.f64 x)) (sin.f64 y)))) |
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) y)) (sin.f64 y)))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (/.f64 #s(literal -1 binary64) (cosh.f64 x))) |
(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 (*.f64 (cosh.f64 x) (/.f64 (*.f64 (sin.f64 y) #s(literal 2 binary64)) y)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (sin.f64 y) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (*.f64 (*.f64 y #s(literal 2 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x))))) |
(/.f64 (*.f64 (sin.f64 y) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x)))))) |
(/.f64 (*.f64 (sin.f64 y) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) |
(/.f64 (*.f64 (sin.f64 y) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y #s(literal 2 binary64)) (sinh.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))))) (*.f64 (*.f64 y #s(literal -2 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))))) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 y (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x))))))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (*.f64 (*.f64 y #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) (sinh.f64 x)))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (sin.f64 y)) (*.f64 (*.f64 y #s(literal 2 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x))))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (sin.f64 y)) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x))) y))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (sin.f64 y))) (*.f64 (*.f64 y #s(literal -2 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (sin.f64 y))) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x))) y)))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (sin.f64 y)) (*.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (sin.f64 y)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) y)))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (neg.f64 (sin.f64 y))) (*.f64 (*.f64 y #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (neg.f64 (sin.f64 y))) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (neg.f64 y)))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (neg.f64 (/.f64 y (sin.f64 y)))))) |
(/.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (/.f64 y (sin.f64 y)))) |
(/.f64 (*.f64 (sin.f64 y) (/.f64 (*.f64 (cosh.f64 x) #s(literal -2 binary64)) y)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (*.f64 (*.f64 y (/.f64 #s(literal 2 binary64) (sin.f64 y))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x)))))) |
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (*.f64 (*.f64 (/.f64 y (sin.f64 y)) #s(literal -2 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x))))) |
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 y (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x)))) (neg.f64 (sin.f64 y))))) |
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x))) (neg.f64 (/.f64 y (sin.f64 y)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (*.f64 (*.f64 y (/.f64 #s(literal 2 binary64) (sin.f64 y))) (*.f64 #s(literal -2 binary64) (sinh.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (*.f64 (*.f64 (/.f64 y (sin.f64 y)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 y #s(literal -2 binary64)) (sinh.f64 x)) (sin.f64 y)))) |
(/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) y) (/.f64 #s(literal 2 binary64) (sin.f64 y))) |
(/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))) (*.f64 (*.f64 y (/.f64 #s(literal 2 binary64) (sin.f64 y))) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
(/.f64 (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (neg.f64 y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (*.f64 (*.f64 y (/.f64 #s(literal 2 binary64) (sin.f64 y))) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -4 binary64) (cosh.f64 x)) (*.f64 (*.f64 y (/.f64 #s(literal 2 binary64) (sin.f64 y))) #s(literal -2 binary64))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (/.f64 (*.f64 y (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x)))) (sin.f64 y))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) #s(literal 1/2 binary64)) (/.f64 (*.f64 (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x))) y) (sin.f64 y))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (sinh.f64 x)) (sin.f64 y))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) y)) (sin.f64 y))) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) y) (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (-.f64 (neg.f64 x) x))))) |
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(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 y) y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sin.f64 y))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (*.f64 (sin.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y (*.f64 y y)))) (fma.f64 y y #s(literal 0 binary64))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) y) |
(+.f64 #s(literal 0 binary64) (sin.f64 y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) |
(-.f64 (*.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 (neg.f64 y))) (*.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 (neg.f64 y)))) |
(sin.f64 y) |
(neg.f64 (neg.f64 (sin.f64 y))) |
(neg.f64 (sin.f64 (neg.f64 y))) |
(/.f64 (sin.f64 y) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (neg.f64 (sin.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 0 binary64))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))) (sin.f64 y)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 0 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 0 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 0 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))) (sin.f64 y)) |
(pow.f64 (sin.f64 y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 y) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 y)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1/2 binary64))) |
Compiled 8 536 to 1 228 computations (85.6% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 502 | 10 | 512 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 503 | 10 | 513 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) |
| 63.4% | (*.f64 (/.f64 (*.f64 (cosh.f64 x) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y) | |
| ▶ | 99.8% | (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) |
| 53.9% | (*.f64 (cosh.f64 x) (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (*.f64 (neg.f64 y) (sin.f64 y)))) | |
| ▶ | 62.2% | (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
| ▶ | 60.7% | (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| ▶ | 87.0% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
| 91.3% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) | |
| 74.0% | (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) | |
| 49.0% | #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
Compiled 272 to 176 computations (35.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (cosh.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 (cosh.f64 x) y) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
| ✓ | cost-diff | 0 | (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (cosh.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | #s(approx (/ (sin y) y) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (cosh.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 y (sin.f64 y)) |
| ✓ | cost-diff | 0 | (cosh.f64 x) |
| ✓ | cost-diff | 384 | (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) |
| 838× | lower-*.f32 |
| 826× | lower-*.f64 |
| 528× | times-frac |
| 508× | lower-fma.f32 |
| 502× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 157 |
| 0 | 46 | 157 |
| 1 | 81 | 157 |
| 2 | 145 | 157 |
| 3 | 221 | 157 |
| 4 | 264 | 157 |
| 5 | 316 | 157 |
| 6 | 415 | 157 |
| 7 | 591 | 157 |
| 8 | 1006 | 157 |
| 9 | 1305 | 157 |
| 10 | 1395 | 157 |
| 11 | 1509 | 157 |
| 12 | 1665 | 157 |
| 13 | 1690 | 157 |
| 14 | 1691 | 157 |
| 0 | 1691 | 157 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) |
(cosh.f64 x) |
x |
(/.f64 y (sin.f64 y)) |
y |
(sin.f64 y) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(cosh.f64 x) |
x |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(cosh.f64 x) |
x |
#s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
y |
(*.f64 y #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) |
(/.f64 (cosh.f64 x) y) |
(cosh.f64 x) |
x |
y |
(sin.f64 y) |
| Outputs |
|---|
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) |
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
(cosh.f64 x) |
x |
(/.f64 y (sin.f64 y)) |
y |
(sin.f64 y) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(cosh.f64 x) |
x |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(cosh.f64 x) |
x |
#s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
y |
(*.f64 y #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) |
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
(/.f64 (cosh.f64 x) y) |
(cosh.f64 x) |
x |
y |
(sin.f64 y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 100.0% | (cosh.f64 x) |
| ✓ | accuracy | 100.0% | (/.f64 (cosh.f64 x) y) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.8% | (/.f64 (sin.f64 y) y) |
| ✓ | accuracy | 99.8% | (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 87.2% | #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
| ✓ | accuracy | 99.9% | (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 y #s(literal -1/6 binary64)) |
| ✓ | accuracy | 48.2% | #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (cosh.f64 x) |
| ✓ | accuracy | 100.0% | (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| ✓ | accuracy | 48.9% | #s(approx (/ (sin y) y) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 100.0% | (cosh.f64 x) |
| ✓ | accuracy | 99.9% | (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) |
| ✓ | accuracy | 99.8% | (/.f64 y (sin.f64 y)) |
| 59.0ms | 256× | 0 | valid |
Compiled 121 to 24 computations (80.2% saved)
ival-mult: 11.0ms (25.6% of total)ival-div: 8.0ms (18.6% of total)ival-sin: 7.0ms (16.3% of total)const: 7.0ms (16.3% of total)ival-cosh: 6.0ms (14% of total)ival-add: 4.0ms (9.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))> |
#<alt (cosh.f64 x)> |
#<alt (/.f64 y (sin.f64 y))> |
#<alt (sin.f64 y)> |
#<alt (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))> |
#<alt #s(approx (/ (sin y) y) #s(literal 1 binary64))> |
#<alt (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))> |
#<alt #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))> |
#<alt (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))> |
#<alt (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))> |
#<alt #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))> |
#<alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))> |
#<alt (*.f64 x x)> |
#<alt (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))> |
#<alt (/.f64 (cosh.f64 x) y)> |
#<alt (*.f64 y #s(literal -1/6 binary64))> |
#<alt (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))> |
#<alt (/.f64 (sin.f64 y) y)> |
| Outputs |
|---|
#<alt (/ (sin y) y)> |
#<alt (+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))> |
#<alt (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))> |
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))> |
#<alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))> |
#<alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))> |
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))> |
#<alt (/ y (sin y))> |
#<alt (/ y (sin y))> |
#<alt (/ y (sin y))> |
#<alt (/ y (sin y))> |
#<alt (/ y (sin y))> |
#<alt (/ y (sin y))> |
#<alt (/ y (sin y))> |
#<alt (/ y (sin y))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (/ (sin y) y)> |
#<alt (+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))> |
#<alt (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))> |
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))> |
#<alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))> |
#<alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))> |
#<alt (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))> |
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))> |
#<alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))> |
#<alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<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 (pow y 2)) 1/6))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (/ (sin y) y)> |
#<alt (+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))> |
#<alt (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))> |
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))> |
#<alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))> |
#<alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))> |
#<alt (* 1/24 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/24 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (/ (sin y) y)> |
#<alt (+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))> |
#<alt (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))> |
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))> |
#<alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))> |
#<alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (/ 1 y)> |
#<alt (+ (* 1/2 (/ (pow x 2) y)) (/ 1 y))> |
#<alt (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) y)) (* 1/2 (/ 1 y)))) (/ 1 y))> |
#<alt (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) y)) (* 1/24 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ 1 y))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) 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 1/2> |
#<alt (+ 1/2 (* 1/24 (pow x 2)))> |
#<alt (+ 1/2 (* 1/24 (pow x 2)))> |
#<alt (+ 1/2 (* 1/24 (pow x 2)))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
72 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | (/ y (sin y)) |
| 1.0ms | y | @ | inf | (+ (* y (* y -1/6)) 1) |
| 0.0ms | y | @ | inf | (/ (cosh x) y) |
| 0.0ms | y | @ | -inf | (/ y (sin y)) |
| 0.0ms | x | @ | inf | (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) |
| 1× | egg-herbie |
| 21 770× | lower-fma.f64 |
| 21 770× | lower-fma.f32 |
| 4 880× | lower-+.f64 |
| 4 880× | lower-+.f32 |
| 4 264× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 132 | 3156 |
| 1 | 410 | 3036 |
| 2 | 1336 | 2926 |
| 3 | 4241 | 2829 |
| 4 | 7806 | 2827 |
| 0 | 8363 | 2686 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
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 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(/ 1 y) |
(+ (* 1/2 (/ (pow x 2) y)) (/ 1 y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) y)) (* 1/2 (/ 1 y)))) (/ 1 y)) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) y)) (* 1/24 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ 1 y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) 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) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* 1/24 (pow x 2))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
| Outputs |
|---|
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(*.f64 (sin.f64 y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
(fma.f64 (*.f64 x x) (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (/.f64 (sin.f64 y) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) (/.f64 #s(literal 1/2 binary64) y)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) (/.f64 #s(literal 1/2 binary64) y)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) (/.f64 #s(literal 1/2 binary64) y)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) (/.f64 #s(literal 1/2 binary64) y)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) (/.f64 #s(literal 1/2 binary64) y)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) (/.f64 #s(literal 1/2 binary64) y)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) (/.f64 #s(literal 1/2 binary64) y)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) (/.f64 #s(literal 1/2 binary64) y)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (*.f64 y #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/240 binary64)) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/10080 binary64)) #s(literal 1/240 binary64)) (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 y (*.f64 y #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) (/.f64 #s(literal 1/2 binary64) y)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) (/.f64 #s(literal 1/2 binary64) y)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) (/.f64 #s(literal 1/2 binary64) y)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) (/.f64 #s(literal 1/2 binary64) y)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) (/.f64 #s(literal 1/2 binary64) y)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) (/.f64 #s(literal 1/2 binary64) y)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) (/.f64 #s(literal 1/2 binary64) y)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (*.f64 (sin.f64 y) (/.f64 #s(literal 1/2 binary64) y)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
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(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
| 1× | batch-egg-rewrite |
| 8 032× | lower-fma.f32 |
| 8 026× | lower-fma.f64 |
| 5 278× | lower-*.f32 |
| 5 266× | lower-*.f64 |
| 3 338× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 132 |
| 0 | 46 | 132 |
| 1 | 139 | 132 |
| 2 | 830 | 132 |
| 3 | 7781 | 132 |
| 0 | 8411 | 132 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) |
(cosh.f64 x) |
(/.f64 y (sin.f64 y)) |
(sin.f64 y) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) |
(/.f64 (cosh.f64 x) y) |
(*.f64 y #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(/.f64 (sin.f64 y) y) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (cosh.f64 x) (sin.f64 y)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (cosh.f64 x) y) (neg.f64 (sin.f64 y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 y (sin.f64 y)))) (*.f64 (/.f64 (cosh.f64 x) y) (neg.f64 (sin.f64 y)))) |
(neg.f64 (*.f64 (/.f64 (cosh.f64 x) y) (neg.f64 (sin.f64 y)))) |
(neg.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (cosh.f64 x))) |
(neg.f64 (*.f64 (sin.f64 y) (neg.f64 (/.f64 (cosh.f64 x) y)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cosh.f64 x) y) (neg.f64 (sin.f64 y))))) |
(neg.f64 (/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (neg.f64 y))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (cosh.f64 x) (sin.f64 y))))) |
(neg.f64 (/.f64 (*.f64 (cosh.f64 x) (neg.f64 (sin.f64 y))) y)) |
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) |
(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x))) |
(/.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cosh.f64 x) (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 2 binary64)) (*.f64 (sin.f64 y) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (neg.f64 (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))) |
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) |
(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 y (sin.f64 y)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (/.f64 y (sin.f64 y))))) |
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (/.f64 y (sin.f64 y))) #s(literal -2 binary64))) |
(/.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (/.f64 y (sin.f64 y)))) |
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (/.f64 y (cosh.f64 x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 x) (sin.f64 y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 (cosh.f64 x) (sin.f64 y))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (neg.f64 (/.f64 y (sin.f64 y))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (neg.f64 (/.f64 y (cosh.f64 x))))) |
(/.f64 (*.f64 (sin.f64 y) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (neg.f64 (sin.f64 y))) (*.f64 #s(literal -2 binary64) y)) |
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 (/.f64 y (sin.f64 y)) #s(literal -2 binary64))) |
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (*.f64 (neg.f64 (/.f64 y (sin.f64 y))) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (neg.f64 (*.f64 (/.f64 y (sin.f64 y)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (cosh.f64 x) (neg.f64 (sin.f64 y))) (neg.f64 y)) |
(/.f64 (*.f64 (cosh.f64 x) (neg.f64 (sin.f64 y))) (*.f64 #s(literal 1 binary64) (neg.f64 y))) |
(/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 y (sin.f64 y)) #s(literal 2 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 (neg.f64 x) (neg.f64 x)))))) |
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x)))) (*.f64 (*.f64 (/.f64 y (sin.f64 y)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) |
(/.f64 (neg.f64 (/.f64 (cosh.f64 x) y)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) y) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(/.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) y) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (/.f64 y (sin.f64 y))))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (/.f64 y (sin.f64 y))))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 y (sin.f64 y)))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (/.f64 y (sin.f64 y))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (*.f64 (/.f64 y (sin.f64 y)) #s(literal -2 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (*.f64 (neg.f64 (/.f64 y (sin.f64 y))) #s(literal -2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (sin.f64 y)) (*.f64 #s(literal -2 binary64) y)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (neg.f64 (sin.f64 y))) (*.f64 #s(literal -2 binary64) (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(/.f64 (*.f64 (sin.f64 y) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (*.f64 y #s(literal -2 binary64))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)) (neg.f64 (/.f64 y (cosh.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (*.f64 (neg.f64 y) #s(literal -2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -2 binary64))) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 y #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (neg.f64 (sin.f64 y)))) (neg.f64 (*.f64 #s(literal -2 binary64) y))) |
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) (neg.f64 (sin.f64 y)))) y) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal -2 binary64)) |
(/.f64 (/.f64 (cosh.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) y) |
(/.f64 (/.f64 (cosh.f64 x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y)) |
(/.f64 (/.f64 (sin.f64 y) (/.f64 y (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (/.f64 (/.f64 (cosh.f64 x) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (neg.f64 (/.f64 (sin.f64 y) y))) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (cosh.f64 x))) (neg.f64 (/.f64 y (sin.f64 y)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 x) (sin.f64 y))) y) |
(/.f64 (*.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) #s(literal 1 binary64)) y) |
(/.f64 (*.f64 (neg.f64 (cosh.f64 x)) #s(literal 1 binary64)) (neg.f64 (/.f64 y (sin.f64 y)))) |
(/.f64 (*.f64 (sin.f64 y) (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) y)) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) (*.f64 y #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (neg.f64 (sin.f64 y)))) (*.f64 #s(literal -2 binary64) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 x) (neg.f64 (sin.f64 y)))) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (/.f64 (sin.f64 y) y)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (neg.f64 (/.f64 (sin.f64 y) y))) #s(literal 2 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sin.f64 y) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(/.f64 (/.f64 (*.f64 (cosh.f64 x) (neg.f64 (sin.f64 y))) #s(literal -1 binary64)) y) |
(pow.f64 (/.f64 y (*.f64 (cosh.f64 x) (sin.f64 y))) #s(literal -1 binary64)) |
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y)) |
(*.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))) |
(*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) |
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) |
(*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 y (sin.f64 y)))) |
(*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sin.f64 y)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 y) y))) |
(*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (sin.f64 y) (*.f64 y #s(literal 2 binary64)))) |
(*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 #s(literal -2 binary64) y))) |
(*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) (*.f64 (/.f64 y (sin.f64 y)) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (/.f64 (sin.f64 y) y))) |
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (/.f64 (cosh.f64 x) y))) |
(*.f64 (neg.f64 (sin.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) y) (cosh.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (cosh.f64 x) (sin.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 x) (sin.f64 y))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (cosh.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cosh.f64 x) y) (neg.f64 (sin.f64 y)))) |
(*.f64 (*.f64 (sin.f64 y) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64)))) |
(*.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (neg.f64 (sin.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) y))) |
(*.f64 (*.f64 (cosh.f64 x) (neg.f64 (sin.f64 y))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (cosh.f64 x) (neg.f64 (sin.f64 y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (cosh.f64 x) (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(*.f64 (neg.f64 (/.f64 (cosh.f64 x) y)) (neg.f64 (sin.f64 y))) |
(*.f64 (neg.f64 (/.f64 (cosh.f64 x) y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (neg.f64 (cosh.f64 x))) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) y) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (neg.f64 y)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 (cosh.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (cosh.f64 x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 y (sin.f64 y)))) |
(*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal 1/2 binary64) (neg.f64 y))) |
(*.f64 (/.f64 (neg.f64 (cosh.f64 x)) #s(literal 1 binary64)) (neg.f64 (/.f64 (sin.f64 y) y))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 (cosh.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (/.f64 y (sin.f64 y))) (/.f64 (cosh.f64 x) #s(literal 2 binary64))) |
(*.f64 (/.f64 (sin.f64 y) (/.f64 y (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (cosh.f64 x) #s(literal -1 binary64)) (neg.f64 (/.f64 (sin.f64 y) y))) |
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (neg.f64 (/.f64 (cosh.f64 x) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) (/.f64 (sin.f64 y) #s(literal 2 binary64))) |
(*.f64 (/.f64 (/.f64 (cosh.f64 x) y) #s(literal 1 binary64)) (sin.f64 y)) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (cosh.f64 x) (sin.f64 y))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 (cosh.f64 x) (sin.f64 y))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (cosh.f64 x) y))) (neg.f64 (sin.f64 y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (cosh.f64 x))) (neg.f64 (/.f64 (sin.f64 y) y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 x) (sin.f64 y))) (/.f64 #s(literal 1 binary64) y)) |
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(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/576 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64))) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/191102976 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/331776 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)) #s(literal 1/8 binary64)) (*.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal 1/48 binary64)) #s(literal 1/4 binary64)) (-.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/48 binary64))))) (-.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/48 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal 1/4 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sin.f64 y) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (neg.f64 (/.f64 (sin.f64 y) y))) |
(neg.f64 (neg.f64 (/.f64 (sin.f64 y) y))) |
(neg.f64 (/.f64 (neg.f64 (/.f64 (sin.f64 y) y)) #s(literal 1 binary64))) |
(/.f64 (sin.f64 y) y) |
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))) |
(/.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y)) |
(/.f64 (neg.f64 (sin.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 y))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (sin.f64 y)))) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 y) y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)) (neg.f64 y)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y)) |
(pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (sin.f64 y) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 y) y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (sin.f64 y)) |
(*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 (sin.f64 y))) |
Compiled 25 031 to 2 097 computations (91.6% saved)
22 alts after pruning (19 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 233 | 16 | 1 249 |
| Fresh | 2 | 3 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 237 | 22 | 1 259 |
| Status | Accuracy | Program |
|---|---|---|
| 74.0% | (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) | |
| 49.0% | (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) | |
| 63.4% | (*.f64 (/.f64 (*.f64 (cosh.f64 x) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y) | |
| ✓ | 99.8% | (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) |
| ▶ | 48.9% | (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y)) |
| 53.9% | (*.f64 (cosh.f64 x) (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (*.f64 (neg.f64 y) (sin.f64 y)))) | |
| ✓ | 60.7% | (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| ✓ | 87.0% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
| 54.3% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y)) | |
| 54.8% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) | |
| ▶ | 52.9% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
| 54.3% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) | |
| ▶ | 51.0% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| ▶ | 91.3% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
| 56.6% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) | |
| 54.0% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| 74.0% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) | |
| 48.3% | (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) | |
| 42.3% | (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| 32.8% | (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) | |
| ▶ | 25.1% | (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| 49.0% | #s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y)) |
Compiled 703 to 408 computations (42% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | #s(approx (cosh x) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (/ (sin y) y) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (cosh x) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
| 1 046× | lower-fma.f32 |
| 1 032× | lower-fma.f64 |
| 424× | distribute-lft-in |
| 394× | lower-*.f32 |
| 378× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 317 |
| 0 | 60 | 317 |
| 1 | 126 | 317 |
| 2 | 275 | 317 |
| 3 | 470 | 317 |
| 4 | 690 | 317 |
| 5 | 752 | 317 |
| 6 | 759 | 317 |
| 7 | 871 | 317 |
| 8 | 1044 | 317 |
| 9 | 1052 | 317 |
| 10 | 1055 | 317 |
| 11 | 1058 | 317 |
| 12 | 1066 | 317 |
| 13 | 1092 | 317 |
| 14 | 1093 | 317 |
| 0 | 1093 | 317 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (cosh x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y)) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) |
#s(approx (cosh x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
(sin.f64 y) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (cosh x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) (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 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) y) #s(approx (cosh x) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) |
#s(approx (cosh x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
(sin.f64 y) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 100.0% | (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y)) |
| ✓ | accuracy | 49.4% | #s(approx (cosh x) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
| ✓ | accuracy | 99.8% | (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 87.2% | #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 48.4% | #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.8% | (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 87.2% | #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 48.9% | #s(approx (/ (sin y) y) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| ✓ | accuracy | 49.4% | #s(approx (cosh x) #s(literal 1 binary64)) |
| ✓ | accuracy | 48.9% | #s(approx (/ (sin y) y) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.8% | (/.f64 (sin.f64 y) y) |
| ✓ | accuracy | 99.6% | (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) |
| ✓ | accuracy | 99.5% | (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
| ✓ | accuracy | 91.5% | #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
| 92.0ms | 256× | 0 | valid |
Compiled 211 to 33 computations (84.4% saved)
ival-div: 20.0ms (28.5% of total)ival-mult: 17.0ms (24.2% of total)const: 13.0ms (18.5% of total)ival-add: 9.0ms (12.8% of total)ival-sin: 7.0ms (10% of total)ival-cosh: 3.0ms (4.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))> |
#<alt #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))> |
#<alt (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))> |
#<alt (*.f64 x x)> |
#<alt (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))> |
#<alt #s(approx (cosh x) #s(literal 1 binary64))> |
#<alt #s(approx (/ (sin y) y) #s(literal 1 binary64))> |
#<alt (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))> |
#<alt #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))> |
#<alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))> |
#<alt (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))> |
#<alt (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y))> |
#<alt (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y)> |
#<alt (sin.f64 y)> |
#<alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))> |
#<alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))> |
#<alt (/.f64 (sin.f64 y) y)> |
#<alt (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))> |
#<alt #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))> |
#<alt (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))> |
| Outputs |
|---|
#<alt (/ (sin y) y)> |
#<alt (+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))> |
#<alt (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))> |
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))> |
#<alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))> |
#<alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))> |
#<alt (* 1/720 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/720 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (/ (sin y) y)> |
#<alt (+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))> |
#<alt (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))> |
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))> |
#<alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))> |
#<alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))> |
#<alt (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))> |
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))> |
#<alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))> |
#<alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))> |
#<alt (* 1/24 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/24 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (/ (sin y) y)> |
#<alt (+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))> |
#<alt (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))> |
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))> |
#<alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))> |
#<alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (/ (sin y) y)> |
#<alt (+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))> |
#<alt (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))> |
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))> |
#<alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))> |
#<alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (/ 1 y)> |
#<alt (+ (* 1/2 (/ (pow x 2) y)) (/ 1 y))> |
#<alt (+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) y)) (* 1/2 (/ 1 y)))) (/ 1 y))> |
#<alt (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) y)) (* 1/24 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ 1 y))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt 1/24> |
#<alt (+ 1/24 (* 1/720 (pow x 2)))> |
#<alt (+ 1/24 (* 1/720 (pow x 2)))> |
#<alt (+ 1/24 (* 1/720 (pow x 2)))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* 1/24 x)> |
#<alt (* x (+ 1/24 (* 1/720 (pow x 2))))> |
#<alt (* x (+ 1/24 (* 1/720 (pow x 2))))> |
#<alt (* x (+ 1/24 (* 1/720 (pow x 2))))> |
#<alt (* 1/720 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* 1/720 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/24 (pow x 2)))> |
#<alt (+ 1/2 (* 1/24 (pow x 2)))> |
#<alt (+ 1/2 (* 1/24 (pow x 2)))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt -1/6> |
#<alt (- (* 1/120 (pow y 2)) 1/6)> |
#<alt (- (* 1/120 (pow y 2)) 1/6)> |
#<alt (- (* 1/120 (pow y 2)) 1/6)> |
#<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)))))> |
78 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (* x (+ (* (* x x) 1/720) 1/24)) |
| 0.0ms | x | @ | inf | (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/720) 1/24))) 1/2)) 1) |
| 0.0ms | x | @ | 0 | (* x (+ (* (* x x) 1/720) 1/24)) |
| 0.0ms | x | @ | -inf | (* x (+ (* (* x x) 1/720) 1/24)) |
| 0.0ms | y | @ | inf | (+ (* (* y y) 1/120) -1/6) |
| 1× | egg-herbie |
| 22 056× | lower-fma.f64 |
| 22 056× | lower-fma.f32 |
| 5 760× | lower-+.f64 |
| 5 760× | lower-+.f32 |
| 5 484× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 139 | 3488 |
| 1 | 448 | 3368 |
| 2 | 1417 | 3234 |
| 3 | 4370 | 3137 |
| 0 | 8195 | 2976 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(/ 1 y) |
(+ (* 1/2 (/ (pow x 2) y)) (/ 1 y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) y)) (* 1/2 (/ 1 y)))) (/ 1 y)) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) y)) (* 1/24 (/ 1 y)))) (* 1/2 (/ 1 y)))) (/ 1 y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
1/24 |
(+ 1/24 (* 1/720 (pow x 2))) |
(+ 1/24 (* 1/720 (pow x 2))) |
(+ 1/24 (* 1/720 (pow x 2))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/24 x) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(* 1/720 (pow x 3)) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 3)) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* 1/24 (pow x 2))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
-1/6 |
(- (* 1/120 (pow y 2)) 1/6) |
(- (* 1/120 (pow y 2)) 1/6) |
(- (* 1/120 (pow y 2)) 1/6) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
| Outputs |
|---|
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (sin.f64 y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
(fma.f64 (*.f64 x x) (*.f64 (/.f64 (sin.f64 y) y) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (/.f64 (sin.f64 y) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (sin.f64 y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) y))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (sin.f64 y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) y))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (sin.f64 y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) y))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (sin.f64 y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) y))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (sin.f64 y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) y))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (sin.f64 y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) y))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (sin.f64 y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) y))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (sin.f64 y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) y))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 y (*.f64 y #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/10080 binary64)) #s(literal 1/240 binary64)) (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 y (*.f64 y #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (sin.f64 y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) y))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (sin.f64 y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) y))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (sin.f64 y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) y))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (sin.f64 y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) y))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (sin.f64 y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) y))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (sin.f64 y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) y))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (sin.f64 y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) y))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (sin.f64 y) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(* 1/720 (pow x 6)) |
(*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
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(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/24 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/24 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/24 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/120 (pow y 2)) 1/6) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(- (* 1/120 (pow y 2)) 1/6) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(- (* 1/120 (pow y 2)) 1/6) |
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(* 1/120 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal 1/120 binary64)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 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 (*.f64 y 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× | batch-egg-rewrite |
| 5 308× | lower-*.f32 |
| 5 292× | lower-*.f64 |
| 4 498× | lower-/.f32 |
| 4 494× | lower-/.f64 |
| 4 234× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 223 |
| 0 | 60 | 223 |
| 1 | 225 | 223 |
| 2 | 1568 | 223 |
| 0 | 8218 | 223 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (cosh x) #s(literal 1 binary64)) |
#s(approx (/ (sin y) y) #s(literal 1 binary64)) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y)) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) |
(sin.f64 y) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) |
(/.f64 (sin.f64 y) y) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sin.f64 y)) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sin.f64 y)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sin.f64 y)) (*.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (neg.f64 (sin.f64 y)) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y)) y) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y))))) |
(/.f64 (neg.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y))) (neg.f64 y)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (sin.f64 y))) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (neg.f64 y)) |
(/.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (neg.f64 (/.f64 y (sin.f64 y)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y)))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 (/.f64 y (sin.f64 y)))) |
(/.f64 (neg.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (sin.f64 y)))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (neg.f64 (/.f64 y (sin.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (neg.f64 (neg.f64 y))) |
(pow.f64 (/.f64 y (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (sin.f64 y) y) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (neg.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (sin.f64 y) y)) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (sin.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 (sin.f64 y) y)) |
(*.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) y)) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(/.f64 (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))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))) |
(/.f64 (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))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64))) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)))) #s(literal -1/10077696 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64))) (-.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal -1/373248000 binary64)))) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)))) #s(literal 1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.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 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)))) #s(literal 1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64)) (+.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.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 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64))) #s(literal 1/1296 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.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 (neg.f64 (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)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64)))) (neg.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (fma.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (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 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(*.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 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))))) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.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 (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 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal 1/36 binary64)) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/14400 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))) |
Compiled 28 960 to 1 835 computations (93.7% saved)
30 alts after pruning (24 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 965 | 14 | 979 |
| Fresh | 4 | 10 | 14 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 971 | 30 | 1 001 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 91.3% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y)) y) |
| 74.0% | (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) | |
| ▶ | 49.0% | (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) |
| 63.4% | (*.f64 (/.f64 (*.f64 (cosh.f64 x) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y) | |
| ✓ | 99.8% | (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) |
| ✓ | 48.9% | (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y)) |
| 34.5% | (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) | |
| 53.9% | (*.f64 (cosh.f64 x) (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (*.f64 (neg.f64 y) (sin.f64 y)))) | |
| ✓ | 60.7% | (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| 51.0% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| 51.0% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| ✓ | 87.0% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
| 54.8% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) | |
| ▶ | 54.3% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
| ✓ | 91.3% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
| 54.0% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| 50.6% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| 74.0% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) | |
| 42.3% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| ▶ | 48.3% | (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
| 29.5% | (*.f64 #s(approx (cosh x) (/.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| 28.0% | (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| 30.1% | (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) | |
| 29.0% | (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| 37.2% | (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) | |
| 32.8% | (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) | |
| 33.5% | (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) | |
| ▶ | 32.8% | (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
| ✓ | 25.1% | (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| 49.0% | #s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y)) |
Compiled 973 to 538 computations (44.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 y (sin.f64 y)) |
| ✓ | cost-diff | 0 | #s(approx (cosh x) #s(literal 1 binary64)) |
| ✓ | cost-diff | 384 | (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (cosh x) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y)) y) |
| 966× | lower-fma.f32 |
| 950× | lower-fma.f64 |
| 418× | distribute-lft-in |
| 356× | lower-*.f32 |
| 338× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 367 |
| 0 | 71 | 367 |
| 1 | 137 | 367 |
| 2 | 243 | 367 |
| 3 | 402 | 367 |
| 4 | 620 | 367 |
| 5 | 685 | 367 |
| 6 | 692 | 367 |
| 7 | 804 | 367 |
| 8 | 976 | 367 |
| 9 | 984 | 367 |
| 10 | 987 | 367 |
| 11 | 990 | 367 |
| 12 | 998 | 367 |
| 13 | 1024 | 367 |
| 14 | 1025 | 367 |
| 0 | 1025 | 363 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y)) y) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y)) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(*.f64 x #s(literal 1/720 binary64)) |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(sin.f64 y) |
y |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (cosh x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
y |
(*.f64 y #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
#s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
y |
(*.f64 y #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) |
#s(approx (cosh x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 y (sin.f64 y)) |
y |
(sin.f64 y) |
| Outputs |
|---|
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y)) y) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y)) y) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y)) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y)) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(*.f64 x #s(literal 1/720 binary64)) |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(sin.f64 y) |
y |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (cosh x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
y |
(*.f64 y #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) #s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
#s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
y |
(*.f64 y #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y)) |
#s(approx (cosh x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 y (sin.f64 y)) |
y |
(sin.f64 y) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 99.9% | (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) |
| ✓ | accuracy | 99.8% | (/.f64 y (sin.f64 y)) |
| ✓ | accuracy | 49.4% | #s(approx (cosh x) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.8% | (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 87.2% | #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 48.4% | #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 47.4% | #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 y #s(literal -1/6 binary64)) |
| ✓ | accuracy | 74.3% | #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
| ✓ | accuracy | 48.2% | #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 y #s(literal -1/6 binary64)) |
| ✓ | accuracy | 49.4% | #s(approx (cosh x) #s(literal 1 binary64)) |
| ✓ | accuracy | 48.2% | #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 x #s(literal 1/720 binary64)) |
| ✓ | accuracy | 99.6% | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) |
| ✓ | accuracy | 91.5% | #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
| 177.0ms | 256× | 0 | valid |
Compiled 224 to 41 computations (81.7% saved)
ival-div: 53.0ms (46.1% of total)ival-mult: 30.0ms (26.1% of total)const: 12.0ms (10.4% of total)ival-add: 9.0ms (7.8% of total)ival-sin: 7.0ms (6.1% of total)ival-cosh: 3.0ms (2.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y)) y)> |
#<alt (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y))> |
#<alt #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))> |
#<alt (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))> |
#<alt (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))> |
#<alt #s(approx (cosh x) #s(literal 1 binary64))> |
#<alt #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))> |
#<alt (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))> |
#<alt (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))> |
#<alt #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))> |
#<alt (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))> |
#<alt (*.f64 x x)> |
#<alt (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64))))> |
#<alt #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))> |
#<alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))> |
#<alt (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y)))> |
#<alt (/.f64 y (sin.f64 y))> |
#<alt (sin.f64 y)> |
#<alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))> |
#<alt (*.f64 x #s(literal 1/720 binary64))> |
#<alt (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))> |
#<alt (*.f64 y #s(literal -1/6 binary64))> |
#<alt #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64))> |
#<alt #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))> |
#<alt (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))> |
| Outputs |
|---|
#<alt (/ (sin y) y)> |
#<alt (+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y))> |
#<alt (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y))> |
#<alt (+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))> |
#<alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))> |
#<alt (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y))> |
#<alt (sin y)> |
#<alt (+ (sin y) (* 1/2 (* (pow x 2) (sin y))))> |
#<alt (+ (sin y) (* (pow x 2) (+ (* 1/24 (* (pow x 2) (sin y))) (* 1/2 (sin y)))))> |
#<alt (+ (sin y) (* (pow x 2) (+ (* 1/2 (sin y)) (* (pow x 2) (+ (* 1/720 (* (pow x 2) (sin y))) (* 1/24 (sin y)))))))> |
#<alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))> |
#<alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))> |
#<alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))> |
#<alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))> |
#<alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))> |
#<alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))> |
#<alt (* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x)))))> |
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#<alt (sin y)> |
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#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/24 (pow x 2)))> |
#<alt (+ 1/2 (* 1/24 (pow x 2)))> |
#<alt (+ 1/2 (* 1/24 (pow x 2)))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
93 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (* x 1/720) |
| 0.0ms | x | @ | inf | (* x 1/720) |
| 0.0ms | x | @ | 0 | (* (cosh x) (sin y)) |
| 0.0ms | x | @ | 0 | (* x 1/720) |
| 0.0ms | x | @ | 0 | (+ (* 1/2 (* x x)) 1) |
| 1× | egg-herbie |
| 16 270× | lower-fma.f64 |
| 16 270× | lower-fma.f32 |
| 5 132× | lower-*.f64 |
| 5 132× | lower-*.f32 |
| 2 560× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 162 | 3884 |
| 1 | 529 | 3733 |
| 2 | 1677 | 3621 |
| 3 | 5281 | 3509 |
| 4 | 7866 | 3509 |
| 0 | 8086 | 3302 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(sin y) |
(+ (sin y) (* 1/2 (* (pow x 2) (sin y)))) |
(+ (sin y) (* (pow x 2) (+ (* 1/24 (* (pow x 2) (sin y))) (* 1/2 (sin y))))) |
(+ (sin y) (* (pow x 2) (+ (* 1/2 (sin y)) (* (pow x 2) (+ (* 1/720 (* (pow x 2) (sin y))) (* 1/24 (sin y))))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(* y (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))) |
(* y (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))) |
(* y (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
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 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* 1/2 (pow x 2))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(/ (sin y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* 1/24 x) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(* x (+ 1/24 (* 1/720 (pow x 2)))) |
(* 1/720 (pow x 3)) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 3)) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
1/24 |
(+ 1/24 (* 1/720 (pow x 2))) |
(+ 1/24 (* 1/720 (pow x 2))) |
(+ 1/24 (* 1/720 (pow x 2))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* -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) |
-1/6 |
(- (* 1/120 (pow y 2)) 1/6) |
(- (* 1/120 (pow y 2)) 1/6) |
(- (* 1/120 (pow y 2)) 1/6) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* 1/24 (pow x 2))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
| Outputs |
|---|
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (sin.f64 y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
(fma.f64 (/.f64 (*.f64 x (*.f64 (sin.f64 y) x)) y) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x)))))))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/240 binary64)) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x))))))))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/10080 binary64)) #s(literal 1/240 binary64)) (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64)))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(sin y) |
(sin.f64 y) |
(+ (sin y) (* 1/2 (* (pow x 2) (sin y)))) |
(*.f64 (sin.f64 y) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(+ (sin y) (* (pow x 2) (+ (* 1/24 (* (pow x 2) (sin y))) (* 1/2 (sin y))))) |
(*.f64 (sin.f64 y) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(+ (sin y) (* (pow x 2) (+ (* 1/2 (sin y)) (* (pow x 2) (+ (* 1/720 (* (pow x 2) (sin y))) (* 1/24 (sin y))))))) |
(*.f64 (sin.f64 y) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (sin.f64 y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (sin.f64 y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (sin.f64 y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (sin.f64 y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (sin.f64 y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (sin.f64 y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (sin.f64 y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (sin.f64 y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* 1/2 (* y (+ (exp x) (/ 1 (exp x))))) |
(*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* y (+ (* -1/12 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/2 (+ (exp x) (/ 1 (exp x)))))) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 y (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64)))) |
(* y (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* 1/240 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))))))) |
(*.f64 y (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/240 binary64)) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))) |
(* y (+ (* 1/2 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/12 (+ (exp x) (/ 1 (exp x)))) (* (pow y 2) (+ (* -1/10080 (* (pow y 2) (+ (exp x) (/ 1 (exp x))))) (* 1/240 (+ (exp x) (/ 1 (exp x)))))))))) |
(*.f64 y (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 (fma.f64 y (*.f64 y #s(literal -1/10080 binary64)) #s(literal 1/240 binary64)) (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 #s(literal -1/12 binary64) (*.f64 y y) #s(literal 1/2 binary64))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (sin.f64 y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (sin.f64 y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (sin.f64 y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (sin.f64 y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (sin.f64 y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (sin.f64 y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (sin.f64 y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* 1/2 (* (sin y) (+ (exp x) (/ 1 (exp x))))) |
(*.f64 (sin.f64 y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(* 1/720 (pow x 6)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(* 1/720 (pow x 6)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(+ (* 1/2 (/ (* (pow x 2) (sin y)) y)) (/ (sin y) y)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (sin.f64 y) y)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) (sin y)) y)) (* 1/2 (/ (sin y) y)))) (/ (sin y) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(+ (* (pow x 2) (+ (* 1/2 (/ (sin y) y)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) (sin y)) y)) (* 1/24 (/ (sin y) y)))))) (/ (sin y) y)) |
(fma.f64 (/.f64 (*.f64 x (*.f64 (sin.f64 y) x)) y) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (/.f64 (sin.f64 y) y)) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* 1/2 (/ (* (sin y) (+ (exp x) (/ 1 (exp x)))) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
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(* (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 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/24 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/24 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/24 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
| 1× | batch-egg-rewrite |
| 5 190× | lower-fma.f32 |
| 5 174× | lower-fma.f64 |
| 5 026× | lower-*.f32 |
| 5 008× | lower-*.f64 |
| 4 570× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 285 |
| 0 | 71 | 285 |
| 1 | 265 | 285 |
| 2 | 1768 | 285 |
| 0 | 8471 | 282 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y)) y) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y)) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (cosh x) #s(literal 1 binary64)) |
#s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) |
(/.f64 y (sin.f64 y)) |
(sin.f64 y) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) |
(*.f64 x #s(literal 1/720 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(*.f64 y #s(literal -1/6 binary64)) |
#s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y)) (neg.f64 y))) |
(neg.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y)) (neg.f64 y))) |
(neg.f64 (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (sin.f64 y))) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sin.f64 y)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y)) #s(literal 1 binary64)))) |
(/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y)) y) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (sin.f64 y))) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y))))) |
(/.f64 (neg.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (sin.f64 y)))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) |
(/.f64 (*.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y)) #s(literal 1 binary64)) y) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (sin.f64 y))))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y)) #s(literal 1 binary64))) (neg.f64 y)) |
(pow.f64 (/.f64 y (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (sin.f64 y) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) y)) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (sin.f64 y) y) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (sin.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 y) #s(literal 1 binary64)) (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) y)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) y) (/.f64 (sin.f64 y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) y)) |
(*.f64 (/.f64 (neg.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))))) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y)) |
(*.f64 (sin.f64 y) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(+.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/48 binary64)))))) |
(*.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) |
Compiled 23 648 to 1 805 computations (92.4% saved)
35 alts after pruning (26 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 916 | 11 | 927 |
| Fresh | 4 | 15 | 19 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 922 | 35 | 957 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 91.3% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y)) y) |
| 74.0% | (/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (sin.f64 y)) y) | |
| 49.0% | (/.f64 #s(approx (* (cosh x) (sin y)) (sin.f64 y)) y) | |
| 74.0% | (/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) | |
| ✓ | 49.0% | (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) |
| 25.8% | (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| 25.8% | (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) | |
| 63.4% | (*.f64 (/.f64 (*.f64 (cosh.f64 x) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y) | |
| ✓ | 99.8% | (*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) |
| ✓ | 48.9% | (*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y)) |
| 53.9% | (*.f64 (cosh.f64 x) (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (*.f64 (neg.f64 y) (sin.f64 y)))) | |
| ✓ | 60.7% | (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| 51.0% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| 51.0% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| ✓ | 87.0% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
| 54.8% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) | |
| ✓ | 91.3% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
| 54.0% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| 50.6% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| 48.3% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) | |
| 42.3% | (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| 56.6% | (*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) | |
| 49.1% | (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) | |
| 29.5% | (*.f64 #s(approx (cosh x) (/.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| 28.0% | (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| 30.1% | (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) | |
| 29.0% | (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) | |
| 32.0% | (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) | |
| 32.8% | (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) | |
| 26.1% | (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) | |
| 37.2% | (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) | |
| 33.5% | (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) | |
| ✓ | 32.8% | (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
| 10.0% | (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) | |
| ✓ | 25.1% | (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
Compiled 1 416 to 493 computations (65.2% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y)) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (/.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y)) |
(/.f64 #s(approx (* (cosh x) (sin y)) (sin.f64 y)) y) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y)) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (sin.f64 y)) y) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y)) y) |
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y)) |
(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y))) |
(*.f64 (/.f64 (*.f64 (cosh.f64 x) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y) |
(*.f64 (cosh.f64 x) (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (*.f64 (neg.f64 y) (sin.f64 y)))) |
| Outputs |
|---|
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
5 calls:
| 15.0ms | (/.f64 (sin.f64 y) y) |
| 15.0ms | y |
| 15.0ms | x |
| 12.0ms | (cosh.f64 x) |
| 12.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 99.9% | 1 | (cosh.f64 x) |
| 99.9% | 1 | (/.f64 (sin.f64 y) y) |
Compiled 25 to 17 computations (32% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y)) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (/.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y)) |
(/.f64 #s(approx (* (cosh x) (sin y)) (sin.f64 y)) y) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y)) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (sin.f64 y)) y) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sin.f64 y)) y) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
5 calls:
| 15.0ms | y |
| 14.0ms | (cosh.f64 x) |
| 13.0ms | (/.f64 (sin.f64 y) y) |
| 13.0ms | x |
| 11.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 3 | x |
| 96.5% | 2 | y |
| 98.0% | 2 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 91.3% | 1 | (cosh.f64 x) |
| 96.5% | 2 | (/.f64 (sin.f64 y) y) |
Compiled 25 to 17 computations (32% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y)) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (/.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y)) |
(/.f64 #s(approx (* (cosh x) (sin y)) (sin.f64 y)) y) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y)) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (sin.f64 y)) y) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
1 calls:
| 11.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 3 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y)) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (/.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y)) |
(/.f64 #s(approx (* (cosh x) (sin y)) (sin.f64 y)) y) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y)) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (sin.f64 y)) y) |
(/.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 y (sin.f64 y))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
1 calls:
| 23.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 3 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y)) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (/.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
#s(approx (/ (cosh x) (/ y (sin y))) (/.f64 (sin.f64 y) y)) |
(/.f64 #s(approx (* (cosh x) (sin y)) (sin.f64 y)) y) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) (sin.f64 y)) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) (/.f64 y (sin.f64 y))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
1 calls:
| 10.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 3 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y)) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (/.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
5 calls:
| 11.0ms | x |
| 11.0ms | y |
| 9.0ms | (/.f64 (sin.f64 y) y) |
| 8.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 8.0ms | (cosh.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.7% | 1 | (cosh.f64 x) |
| 63.0% | 2 | x |
| 63.9% | 2 | y |
| 75.1% | 2 | (/.f64 (sin.f64 y) y) |
| 75.2% | 2 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Compiled 25 to 17 computations (32% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y)) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (/.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
2 calls:
| 9.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 9.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.4% | 2 | (/.f64 (sin.f64 y) y) |
| 68.5% | 2 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(approx (sin y) (fma.f64 y (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) y)) y)) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
2 calls:
| 9.0ms | (/.f64 (sin.f64 y) y) |
| 8.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.1% | 2 | (/.f64 (sin.f64 y) y) |
| 68.2% | 2 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
2 calls:
| 6.0ms | (/.f64 (sin.f64 y) y) |
| 6.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.7% | 3 | (/.f64 (sin.f64 y) y) |
| 65.2% | 2 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) y) #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
2 calls:
| 5.0ms | (/.f64 (sin.f64 y) y) |
| 5.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.0% | 3 | (/.f64 (sin.f64 y) y) |
| 64.5% | 2 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
2 calls:
| 6.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 4.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.6% | 3 | (/.f64 (sin.f64 y) y) |
| 64.1% | 2 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
3 calls:
| 7.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 4.0ms | y |
| 3.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.4% | 2 | y |
| 59.2% | 3 | (/.f64 (sin.f64 y) y) |
| 64.8% | 3 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Compiled 18 to 12 computations (33.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
3 calls:
| 6.0ms | x |
| 3.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 3.0ms | (cosh.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.3% | 2 | (cosh.f64 x) |
| 51.9% | 2 | x |
| 58.7% | 2 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) |
(*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
4 calls:
| 5.0ms | x |
| 3.0ms | (/.f64 (sin.f64 y) y) |
| 3.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 2.0ms | (cosh.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.3% | 1 | (cosh.f64 x) |
| 44.8% | 2 | x |
| 50.9% | 2 | (/.f64 (sin.f64 y) y) |
| 50.9% | 2 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Compiled 22 to 15 computations (31.8% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
5 calls:
| 49.0ms | (cosh.f64 x) |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (/.f64 (sin.f64 y) y) |
| 2.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 32.8% | 1 | (cosh.f64 x) |
| 32.8% | 1 | x |
| 32.8% | 1 | y |
| 32.8% | 1 | (/.f64 (sin.f64 y) y) |
| 32.8% | 1 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Compiled 25 to 17 computations (32% saved)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
5 calls:
| 2.0ms | (/.f64 (sin.f64 y) y) |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 1.0ms | (cosh.f64 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 32.8% | 2 | x |
| 32.9% | 2 | y |
| 33.6% | 2 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 32.8% | 2 | (cosh.f64 x) |
| 33.6% | 2 | (/.f64 (sin.f64 y) y) |
Compiled 25 to 17 computations (32% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
5 calls:
| 247.0ms | (cosh.f64 x) |
| 1.0ms | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
| 1.0ms | x |
| 1.0ms | (/.f64 (sin.f64 y) y) |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 25.1% | 1 | (cosh.f64 x) |
| 25.1% | 1 | x |
| 25.1% | 1 | y |
| 25.1% | 1 | (/.f64 (sin.f64 y) y) |
| 25.1% | 1 | (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
Compiled 25 to 17 computations (32% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999992208174316 | 1.0 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999992208174316 | 1.0 |
| 0.0ms | -inf | -4.6756842035665e-47 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999992208174316 | 1.0 |
| 0.0ms | -inf | -4.6756842035665e-47 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999992208174316 | 1.0 |
| 0.0ms | -inf | -4.6756842035665e-47 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -4.4043654997702307e-147 | -2.5495642184068436e-168 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -4.4043654997702307e-147 | -2.5495642184068436e-168 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -4.4043654997702307e-147 | -2.5495642184068436e-168 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -4.4043654997702307e-147 | -2.5495642184068436e-168 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -4.4043654997702307e-147 | -2.5495642184068436e-168 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -4.4043654997702307e-147 | -2.5495642184068436e-168 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0015459576373666 | +inf |
| 0.0ms | -4.4043654997702307e-147 | -2.5495642184068436e-168 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0015459576373666 | +inf |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -4.4043654997702307e-147 | -2.5495642184068436e-168 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -4.4043654997702307e-147 | -2.5495642184068436e-168 |
Compiled 12 to 11 computations (8.3% saved)
| 1× | egg-herbie |
| 52× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 977 |
| 1 | 149 | 977 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 9007192236488343/9007199254740992 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 9007192236488343/9007199254740992 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 9007192236488343/9007199254740992 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 9007192236488343/9007199254740992 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3599131035634557/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3599131035634557/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3599131035634557/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944 binary64)) (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3599131035634557/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944 binary64)) (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3599131035634557/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944 binary64)) (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3599131035634557/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944 binary64)) (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3599131035634557/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944 binary64)) (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3599131035634557/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3599131035634557/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 9007192236488343/9007199254740992 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 9007192236488343/9007199254740992 binary64)) (*.f64 (/.f64 (sin.f64 y) y) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 9007192236488343/9007199254740992 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 9007192236488343/9007199254740992 binary64)) (*.f64 (/.f64 (sin.f64 y) y) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 9007192236488343/9007199254740992 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 9007192236488343/9007199254740992 binary64)) (*.f64 (/.f64 (sin.f64 y) y) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 9007192236488343/9007199254740992 binary64)) #s(approx (* (cosh x) (/ (sin y) y)) (/.f64 (sin.f64 y) y)) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3599131035634557/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (*.f64 (cosh.f64 x) #s(approx (/ (sin y) y) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3599131035634557/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944 binary64)) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3599131035634557/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944 binary64)) (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3599131035634557/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944 binary64)) (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3599131035634557/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944 binary64)) (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64))))))) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(approx (+ (* (* y y) 1/120) -1/6) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3599131035634557/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944 binary64)) (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3599131035634557/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944 binary64)) (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3599131035634557/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944 binary64)) (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3599131035634557/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944 binary64)) (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/24) 1/2) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3599131035634557/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944 binary64)) (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3599131035634557/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944 binary64)) (*.f64 #s(approx (cosh x) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) (/.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 2 binary64)) (*.f64 #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) #s(approx (cosh x) #s(literal 1 binary64))) (*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) #s(approx (+ (* (* x x) (+ (* (* x x) 1/24) 1/2)) 1) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3599131035634557/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) (*.f64 #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(approx (/ (sin y) y) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3599131035634557/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) (*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) #s(approx (cosh x) #s(literal 1 binary64))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3599131035634557/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -3599131035634557/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944 binary64)) (*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))) (*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cosh x) #s(literal 1 binary64)) #s(approx (/ (sin y) y) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(approx (cosh x) #s(literal 1 binary64))) |
| 22 056× | lower-fma.f64 |
| 22 056× | lower-fma.f32 |
| 21 860× | lower-fma.f64 |
| 21 860× | lower-fma.f32 |
| 21 770× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 139 | 3488 |
| 1 | 448 | 3368 |
| 2 | 1417 | 3234 |
| 3 | 4370 | 3137 |
| 0 | 8195 | 2976 |
| 0 | 162 | 3884 |
| 1 | 529 | 3733 |
| 2 | 1677 | 3621 |
| 3 | 5281 | 3509 |
| 4 | 7866 | 3509 |
| 0 | 8086 | 3302 |
| 0 | 6 | 15 |
| 0 | 10 | 15 |
| 1 | 27 | 15 |
| 2 | 130 | 15 |
| 3 | 1025 | 15 |
| 0 | 8438 | 15 |
| 0 | 132 | 3156 |
| 1 | 410 | 3036 |
| 2 | 1336 | 2926 |
| 3 | 4241 | 2829 |
| 4 | 7806 | 2827 |
| 0 | 8363 | 2686 |
| 0 | 83 | 638 |
| 1 | 268 | 614 |
| 2 | 943 | 588 |
| 3 | 3164 | 569 |
| 0 | 8073 | 539 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 580 to 638 computations (59.6% saved)
(abs x)
(abs y)
Compiled 1 556 to 282 computations (81.9% saved)
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