
Time bar (total: 10.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 25% | 25% | 75% | 0% | 0% | 0% | 0% | 3 |
| 37.5% | 37.5% | 62.5% | 0% | 0% | 0% | 0% | 4 |
| 43.8% | 43.7% | 56.2% | 0% | 0% | 0% | 0% | 5 |
| 46.9% | 46.9% | 53.1% | 0% | 0% | 0% | 0% | 6 |
| 48.4% | 48.4% | 51.5% | 0% | 0% | 0% | 0% | 7 |
| 49.2% | 49.2% | 50.8% | 0% | 0% | 0% | 0% | 8 |
| 49.6% | 49.6% | 50.4% | 0% | 0% | 0% | 0% | 9 |
| 49.8% | 49.8% | 50.2% | 0% | 0% | 0% | 0% | 10 |
| 49.9% | 49.9% | 50.1% | 0% | 0% | 0% | 0% | 11 |
| 50% | 49.9% | 50% | 0% | 0% | 0% | 0% | 12 |
Compiled 18 to 13 computations (27.8% saved)
| 1.2s | 8 256× | 0 | valid |
ival-mult: 420.0ms (42.9% of total)ival-sin: 406.0ms (41.5% of total)ival-div: 132.0ms (13.5% of total)exact: 11.0ms (1.1% of total)ival-true: 7.0ms (0.7% of total)ival-assert: 3.0ms (0.3% of total)| 1× | egg-herbie |
| 586× | times-frac |
| 414× | associate-*r/ |
| 412× | associate-*r* |
| 284× | associate-*l* |
| 270× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 35 |
| 1 | 35 | 29 |
| 2 | 95 | 28 |
| 3 | 296 | 28 |
| 4 | 900 | 28 |
| 5 | 1747 | 28 |
| 6 | 1848 | 28 |
| 7 | 1878 | 28 |
| 8 | 1906 | 28 |
| 9 | 1918 | 28 |
| 10 | 1990 | 28 |
| 11 | 2425 | 28 |
| 0 | 11 | 14 |
| 0 | 19 | 14 |
| 1 | 26 | 14 |
| 2 | 36 | 14 |
| 3 | 45 | 14 |
| 4 | 48 | 14 |
| 0 | 48 | 14 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
(negabs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 52 | 0 | - | 2 | (4.0900593254732873e-156) | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
| 0 | 138 | (4.354153745932847e+47) | 0 | - | (sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 8 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 1/2 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | (sin.f64 x) |
| 0 | 0 | - | 0 | - | #s(literal 1/2 binary64) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sin.f64 | (sin.f64 (*.f64 x #s(literal 1/2 binary64))) | sensitivity | 138 | 0 |
/.f64 | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) | u/n | 50 | 0 |
| ↳ | (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) | underflow | 50 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 50 | 2 |
| - | 138 | 66 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 50 | 0 | 2 |
| - | 138 | 0 | 66 |
| number | freq |
|---|---|
| 0 | 68 |
| 1 | 188 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 77.0ms | 512× | 0 | valid |
Compiled 144 to 48 computations (66.7% saved)
ival-sin: 26.0ms (55.8% of total)ival-div: 11.0ms (23.6% of total)ival-mult: 9.0ms (19.3% of total)ival-true: 1.0ms (2.1% of total)exact: 1.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 80.9% | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
Compiled 17 to 11 computations (35.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) |
| 46× | lower-*.f32 |
| 40× | lower-*.f64 |
| 20× | *-commutative |
| 10× | associate-/l* |
| 10× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 45 |
| 0 | 19 | 45 |
| 1 | 26 | 45 |
| 2 | 36 | 45 |
| 3 | 45 | 45 |
| 4 | 48 | 45 |
| 0 | 48 | 45 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) |
#s(literal 8 binary64) |
#s(literal 3 binary64) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(sin.f64 x) |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 8/3 binary64) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) |
#s(literal 8/3 binary64) |
#s(literal 8 binary64) |
#s(literal 3 binary64) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(sin.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 x) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 99.5% | (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 81.2% | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| 32.0ms | 256× | 0 | valid |
Compiled 55 to 13 computations (76.4% saved)
ival-sin: 12.0ms (58% of total)ival-div: 4.0ms (19.3% of total)ival-mult: 4.0ms (19.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 #s(literal 8 binary64) #s(literal 3 binary64))> |
#<alt (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))> |
#<alt (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))> |
#<alt (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))> |
#<alt (sin.f64 x)> |
| Outputs |
|---|
#<alt (* 2/3 x)> |
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 2/3 (pow x 2))> |
#<alt (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))> |
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))> |
#<alt (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))> |
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))> |
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))> |
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))> |
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))> |
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))> |
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))> |
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))> |
#<alt (* 8/3 (pow (sin (* 1/2 x)) 2))> |
#<alt (* 4/3 x)> |
#<alt (* x (+ 4/3 (* -1/18 (pow x 2))))> |
#<alt (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))> |
#<alt (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))> |
#<alt (* 8/3 (sin (* 1/2 x)))> |
#<alt (* 8/3 (sin (* 1/2 x)))> |
#<alt (* 8/3 (sin (* 1/2 x)))> |
#<alt (* 8/3 (sin (* 1/2 x)))> |
#<alt (* 8/3 (sin (* 1/2 x)))> |
#<alt (* 8/3 (sin (* 1/2 x)))> |
#<alt (* 8/3 (sin (* 1/2 x)))> |
#<alt (* 8/3 (sin (* 1/2 x)))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) |
| 1.0ms | x | @ | inf | (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) |
| 1.0ms | x | @ | -inf | (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) |
| 1.0ms | x | @ | inf | (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) |
| 1.0ms | x | @ | 0 | (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) |
| 1× | batch-egg-rewrite |
| 2 420× | lower-*.f32 |
| 2 414× | lower-*.f64 |
| 2 008× | lower-/.f32 |
| 2 006× | lower-/.f64 |
| 534× | lower-fma.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 34 |
| 0 | 19 | 34 |
| 1 | 34 | 28 |
| 2 | 115 | 28 |
| 3 | 628 | 24 |
| 0 | 4915 | 24 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(sin.f64 x) |
| Outputs |
|---|
#s(literal 8/3 binary64) |
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 0 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))) |
(+.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (sin.f64 x))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 0 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))) |
(fma.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))) |
(neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (sin.f64 x))) |
(/.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x)) |
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (neg.f64 (sin.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) |
(/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -8/3 binary64) (/.f64 (sin.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) #s(literal -3/8 binary64))) |
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (sin.f64 x)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) |
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(/.f64 (*.f64 #s(literal -8/3 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))) |
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 8/3 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))) #s(literal -1 binary64))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) |
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 8/3 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64))) |
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64))) |
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal -8/3 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))) |
(*.f64 #s(literal -8/3 binary64) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))) #s(literal -8/3 binary64)) |
(*.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64))) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64))) |
(neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64))) |
(/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
(*.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64))) |
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -8/3 binary64)) |
(*.f64 #s(literal -8/3 binary64) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) #s(literal -1 binary64)) |
(+.f64 (sin.f64 x) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (sin.f64 x)) |
(exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (sin.f64 x))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x))) |
(sin.f64 x) |
(fma.f64 (sin.f64 x) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (sin.f64 x) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) |
(neg.f64 (neg.f64 (sin.f64 x))) |
(/.f64 (sin.f64 x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (sin.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (sin.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 x) #s(literal -1/2 binary64))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 x) #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 x x)))) #s(literal 0 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (sin.f64 x)) |
(pow.f64 (sin.f64 x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 x) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 x)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x))) |
| 1× | egg-herbie |
| 18 506× | lower-fma.f64 |
| 18 506× | lower-fma.f32 |
| 4 370× | lower-+.f64 |
| 4 370× | lower-+.f32 |
| 3 662× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 414 |
| 1 | 252 | 414 |
| 2 | 600 | 408 |
| 3 | 1799 | 408 |
| 4 | 3352 | 408 |
| 5 | 4719 | 408 |
| 6 | 5032 | 408 |
| 7 | 5327 | 408 |
| 8 | 5949 | 408 |
| 9 | 7813 | 408 |
| 0 | 8080 | 384 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 2/3 (pow x 2)) |
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(* 4/3 x) |
(* x (+ 4/3 (* -1/18 (pow x 2)))) |
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))) |
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
| Outputs |
|---|
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 2/3 (pow x 2)) |
(*.f64 #s(literal 2/3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/18 binary64) #s(literal 2/3 binary64)))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/540 binary64)) #s(literal -1/18 binary64))) #s(literal 2/3 binary64))) |
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(* 8/3 (pow (sin (* 1/2 x)) 2)) |
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(* 4/3 x) |
(*.f64 x #s(literal 4/3 binary64)) |
(* x (+ 4/3 (* -1/18 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/18 binary64) #s(literal 4/3 binary64))) |
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/1440 binary64) #s(literal -1/18 binary64)) #s(literal 4/3 binary64))) |
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/241920 binary64)) #s(literal 1/1440 binary64))) #s(literal -1/18 binary64)) #s(literal 4/3 binary64))) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
Compiled 5 242 to 750 computations (85.7% saved)
31 alts after pruning (31 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 302 | 31 | 333 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 303 | 31 | 334 |
| Status | Accuracy | Program |
|---|---|---|
| 57.0% | (fma.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))) | |
| 57.1% | (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) | |
| ▶ | 57.1% | (/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) |
| 57.1% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 x)) | |
| 57.0% | (/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) #s(literal 3 binary64))) (*.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) | |
| 57.0% | (/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x)) | |
| 57.0% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x)) | |
| 55.2% | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (sin.f64 x)))) | |
| 48.2% | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (sin.f64 x)))))) | |
| 99.2% | (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) | |
| 27.5% | (/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) (sin.f64 x)) | |
| 27.1% | (/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/18 binary64) #s(literal 2/3 binary64)))) (sin.f64 x)) | |
| 28.7% | (/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (sin.f64 x)) | |
| 57.0% | (/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))) | |
| 57.0% | (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))) | |
| 57.1% | (*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) | |
| 57.0% | (*.f64 (pow.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x))) | |
| 26.1% | (*.f64 (pow.f64 (sin.f64 x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) | |
| ▶ | 57.1% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64)) |
| 54.3% | (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (sin.f64 x)) | |
| ▶ | 99.0% | (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
| ▶ | 99.5% | (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))) |
| 99.2% | (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) | |
| 57.0% | (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) | |
| 57.0% | (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))) | |
| 46.4% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) | |
| 46.3% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) | |
| 46.2% | (*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))) | |
| 81.0% | (*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) | |
| ▶ | 46.3% | (*.f64 #s(literal 2/3 binary64) x) |
| 57.0% | (*.f64 #s(literal -8/3 binary64) (pow.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))) #s(literal -1 binary64))) |
Compiled 904 to 636 computations (29.6% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) x) |
| ✓ | cost-diff | 0 | (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
| ✓ | cost-diff | 0 | (cos.f64 x) |
| ✓ | cost-diff | 0 | (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 704 | (/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) |
| ✓ | cost-diff | 6848 | (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) |
| ✓ | cost-diff | 0 | (cos.f64 x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64)) |
| ✓ | cost-diff | 6848 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2/3 binary64) x) |
| ✓ | cost-diff | 0 | (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))) |
| ✓ | cost-diff | 384 | (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)) |
| 2 420× | lower-fma.f32 |
| 2 418× | lower-fma.f64 |
| 1 740× | lower-*.f32 |
| 1 728× | lower-*.f64 |
| 1 116× | distribute-lft-in |
Useful iterations: 11 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 141 |
| 0 | 42 | 131 |
| 1 | 71 | 131 |
| 2 | 90 | 131 |
| 3 | 116 | 131 |
| 4 | 176 | 131 |
| 5 | 285 | 131 |
| 6 | 549 | 131 |
| 7 | 920 | 131 |
| 8 | 1116 | 131 |
| 9 | 1458 | 131 |
| 10 | 1693 | 131 |
| 11 | 2070 | 129 |
| 12 | 2393 | 129 |
| 13 | 3073 | 129 |
| 14 | 4708 | 129 |
| 15 | 5803 | 129 |
| 16 | 6331 | 129 |
| 17 | 6528 | 129 |
| 18 | 6562 | 129 |
| 19 | 6730 | 129 |
| 20 | 6948 | 129 |
| 21 | 7617 | 129 |
| 22 | 7629 | 129 |
| 23 | 7629 | 129 |
| 24 | 7930 | 129 |
| 0 | 8026 | 129 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(sin.f64 x) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)) |
#s(literal 3/8 binary64) |
(*.f64 #s(literal 2/3 binary64) x) |
#s(literal 2/3 binary64) |
x |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(sin.f64 x) |
#s(literal 4/3 binary64) |
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) |
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) |
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(cos.f64 x) |
x |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
(sin.f64 x) |
#s(literal 3/8 binary64) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(*.f64 (sin.f64 x) #s(literal 3/8 binary64)) |
(sin.f64 x) |
#s(literal 3/8 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(sin.f64 x) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
#s(literal 3/8 binary64) |
(*.f64 #s(literal 2/3 binary64) x) |
(*.f64 x #s(literal 2/3 binary64)) |
#s(literal 2/3 binary64) |
x |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64)) |
(*.f64 (tan.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal -4/3 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
(neg.f64 (tan.f64 (*.f64 x #s(literal -1/2 binary64)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
#s(literal 1 binary64) |
(cos.f64 x) |
x |
(sin.f64 x) |
#s(literal 4/3 binary64) |
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) |
(*.f64 (tan.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal -4/3 binary64)) |
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) |
(*.f64 #s(literal -1/2 binary64) (tan.f64 (*.f64 x #s(literal -1/2 binary64)))) |
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(cos.f64 x) |
x |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
(sin.f64 x) |
#s(literal 3/8 binary64) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(*.f64 (sin.f64 x) #s(literal 3/8 binary64)) |
(sin.f64 x) |
#s(literal 3/8 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 x) |
| ✓ | accuracy | 99.7% | (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
| ✓ | accuracy | 99.3% | (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 99.7% | (/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) |
| ✓ | accuracy | 81.3% | (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) |
| ✓ | accuracy | 76.0% | (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 99.4% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64)) |
| ✓ | accuracy | 81.4% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
| ✓ | accuracy | 76.0% | (-.f64 #s(literal 1 binary64) (cos.f64 x)) |
| ✓ | accuracy | 99.4% | (*.f64 #s(literal 2/3 binary64) x) |
| ✓ | accuracy | 100.0% | (sin.f64 x) |
| ✓ | accuracy | 99.8% | (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)) |
| ✓ | accuracy | 99.8% | (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))) |
| 43.0ms | 143× | 0 | valid |
| 34.0ms | 53× | 2 | valid |
| 19.0ms | 18× | 3 | valid |
| 18.0ms | 42× | 1 | valid |
Compiled 146 to 27 computations (81.5% saved)
ival-cos: 22.0ms (25.1% of total)ival-sin: 17.0ms (19.4% of total)ival-mult: 15.0ms (17.1% of total)ival-div: 14.0ms (16% of total)const: 9.0ms (10.3% of total)adjust: 6.0ms (6.9% of total)ival-sub: 2.0ms (2.3% of total)ival-add: 2.0ms (2.3% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))> |
#<alt (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)))> |
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))> |
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) x))> |
#<alt (*.f64 #s(literal 2/3 binary64) x)> |
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))> |
#<alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))> |
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 x))> |
#<alt (cos.f64 x)> |
#<alt (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))> |
#<alt (/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))> |
#<alt (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))> |
#<alt (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))> |
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))> |
#<alt (*.f64 #s(literal 1/2 binary64) x)> |
#<alt (sin.f64 x)> |
#<alt (*.f64 (sin.f64 x) #s(literal 3/8 binary64))> |
| Outputs |
|---|
#<alt (* 4/3 x)> |
#<alt (* x (+ 4/3 (* -1/18 (pow x 2))))> |
#<alt (* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))> |
#<alt (* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))> |
#<alt (* 8/3 (sin (* 1/2 x)))> |
#<alt (* 8/3 (sin (* 1/2 x)))> |
#<alt (* 8/3 (sin (* 1/2 x)))> |
#<alt (* 8/3 (sin (* 1/2 x)))> |
#<alt (* 8/3 (sin (* 1/2 x)))> |
#<alt (* 8/3 (sin (* 1/2 x)))> |
#<alt (* 8/3 (sin (* 1/2 x)))> |
#<alt (* 8/3 (sin (* 1/2 x)))> |
#<alt (* 2/3 x)> |
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/16 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))> |
#<alt (+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))> |
#<alt (/ (sin (* 1/2 x)) (sin x))> |
#<alt (/ (sin (* 1/2 x)) (sin x))> |
#<alt (/ (sin (* 1/2 x)) (sin x))> |
#<alt (/ (sin (* 1/2 x)) (sin x))> |
#<alt (/ (sin (* 1/2 x)) (sin x))> |
#<alt (/ (sin (* 1/2 x)) (sin x))> |
#<alt (/ (sin (* 1/2 x)) (sin x))> |
#<alt (/ (sin (* 1/2 x)) (sin x))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1/48 (pow x 2))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))> |
#<alt (sin (* 1/2 x))> |
#<alt (sin (* 1/2 x))> |
#<alt (sin (* 1/2 x))> |
#<alt (sin (* 1/2 x))> |
#<alt (sin (* 1/2 x))> |
#<alt (sin (* 1/2 x))> |
#<alt (sin (* 1/2 x))> |
#<alt (sin (* 1/2 x))> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))> |
#<alt (/ (- 1 (cos x)) (sin x))> |
#<alt (/ (- 1 (cos x)) (sin x))> |
#<alt (/ (- 1 (cos x)) (sin x))> |
#<alt (/ (- 1 (cos x)) (sin x))> |
#<alt (/ (- 1 (cos x)) (sin x))> |
#<alt (/ (- 1 (cos x)) (sin x))> |
#<alt (/ (- 1 (cos x)) (sin x))> |
#<alt (/ (- 1 (cos x)) (sin x))> |
#<alt (* 2/3 x)> |
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))> |
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))> |
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))> |
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))> |
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))> |
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))> |
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))> |
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))> |
#<alt (* 4/3 (/ (- 1 (cos x)) (sin x)))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt (- 1 (cos x))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (* 1/4 x)> |
#<alt (* x (+ 1/4 (* 1/48 (pow x 2))))> |
#<alt (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))> |
#<alt (* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))> |
#<alt (/ (+ 1/2 (* -1/2 (cos x))) (sin x))> |
#<alt (/ (+ 1/2 (* -1/2 (cos x))) (sin x))> |
#<alt (/ (+ 1/2 (* -1/2 (cos x))) (sin x))> |
#<alt (/ (+ 1/2 (* -1/2 (cos x))) (sin x))> |
#<alt (/ (+ 1/2 (* -1/2 (cos x))) (sin x))> |
#<alt (/ (+ 1/2 (* -1/2 (cos x))) (sin x))> |
#<alt (/ (+ 1/2 (* -1/2 (cos x))) (sin x))> |
#<alt (/ (+ 1/2 (* -1/2 (cos x))) (sin x))> |
#<alt (* 2/3 x)> |
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))> |
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))> |
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))> |
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))> |
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))> |
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))> |
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))> |
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))> |
#<alt (* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))> |
#<alt (* 1/4 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))> |
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))> |
#<alt (+ 1/2 (* -1/2 (cos x)))> |
#<alt (+ 1/2 (* -1/2 (cos x)))> |
#<alt (+ 1/2 (* -1/2 (cos x)))> |
#<alt (+ 1/2 (* -1/2 (cos x)))> |
#<alt (+ 1/2 (* -1/2 (cos x)))> |
#<alt (+ 1/2 (* -1/2 (cos x)))> |
#<alt (+ 1/2 (* -1/2 (cos x)))> |
#<alt (+ 1/2 (* -1/2 (cos x)))> |
#<alt (* 2/3 x)> |
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt (* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))> |
#<alt 4/3> |
#<alt (+ 4/3 (* 1/6 (pow x 2)))> |
#<alt (+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))> |
#<alt (+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))> |
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))> |
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))> |
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))> |
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))> |
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))> |
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))> |
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))> |
#<alt (* 8/3 (/ (sin (* 1/2 x)) (sin x)))> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (* 3/8 x)> |
#<alt (* x (+ 3/8 (* -1/16 (pow x 2))))> |
#<alt (* x (+ 3/8 (* (pow x 2) (- (* 1/320 (pow x 2)) 1/16))))> |
#<alt (* x (+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 1/320 (* -1/13440 (pow x 2)))) 1/16))))> |
#<alt (* 3/8 (sin x))> |
#<alt (* 3/8 (sin x))> |
#<alt (* 3/8 (sin x))> |
#<alt (* 3/8 (sin x))> |
#<alt (* 3/8 (sin x))> |
#<alt (* 3/8 (sin x))> |
#<alt (* 3/8 (sin x))> |
#<alt (* 3/8 (sin x))> |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (* 2/3 x) |
| 2.0ms | x | @ | inf | (/ (- 1 (cos x)) (sin x)) |
| 1.0ms | x | @ | inf | (/ (+ (* (cos x) -1/2) 1/2) (sin x)) |
| 1.0ms | x | @ | -inf | (/ (+ (* (cos x) -1/2) 1/2) (sin x)) |
| 0.0ms | x | @ | -inf | (/ (- 1 (cos x)) (sin x)) |
| 1× | batch-egg-rewrite |
| 3 886× | lower-*.f32 |
| 3 874× | lower-*.f64 |
| 3 274× | lower-/.f32 |
| 3 262× | lower-/.f64 |
| 2 474× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 111 |
| 0 | 42 | 105 |
| 1 | 133 | 99 |
| 2 | 749 | 99 |
| 3 | 6510 | 99 |
| 0 | 8262 | 99 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 2/3 binary64) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) |
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) |
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) |
(*.f64 #s(literal 1/2 binary64) x) |
(sin.f64 x) |
(*.f64 (sin.f64 x) #s(literal 3/8 binary64)) |
| Outputs |
|---|
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64))) |
(neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64))) |
(neg.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) #s(literal 1 binary64))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -3/8 binary64)) |
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))) |
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -8/3 binary64)) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64))) |
(*.f64 #s(literal -8/3 binary64) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))) |
(neg.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 x) #s(literal -3/8 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 x) #s(literal -3/8 binary64))))) |
(neg.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(neg.f64 (/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) (*.f64 (sin.f64 x) #s(literal -3/8 binary64)))) |
(neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) (sin.f64 x)) #s(literal -3/8 binary64))) |
(neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) #s(literal 8/3 binary64)) (neg.f64 (sin.f64 x)))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))))) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))) |
(neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) #s(literal -8/3 binary64)) (sin.f64 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64)))))) #s(literal 1 binary64))) |
(/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1 binary64))))) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
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(pow.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 3/8 binary64) (sin.f64 x)) |
(*.f64 (sin.f64 x) #s(literal 3/8 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))) |
(*.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (sin.f64 x)) #s(literal -3/8 binary64)) |
(*.f64 #s(literal -3/8 binary64) (neg.f64 (sin.f64 x))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 x) #s(literal -3/8 binary64))) |
| 1× | egg-herbie |
| 15 404× | lower-fma.f64 |
| 15 404× | lower-fma.f32 |
| 5 872× | lower-+.f64 |
| 5 872× | lower-+.f32 |
| 4 660× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 235 | 1550 |
| 1 | 686 | 1550 |
| 2 | 1699 | 1544 |
| 3 | 3112 | 1544 |
| 4 | 5437 | 1544 |
| 5 | 5730 | 1544 |
| 6 | 6150 | 1544 |
| 7 | 7100 | 1544 |
| 0 | 8019 | 1430 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 4/3 x) |
(* x (+ 4/3 (* -1/18 (pow x 2)))) |
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))) |
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 8/3 (sin (* 1/2 x))) |
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
1/2 |
(+ 1/2 (* 1/16 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2))))) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2))))))) |
(/ (sin (* 1/2 x)) (sin x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/48 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(/ (- 1 (cos x)) (sin x)) |
(/ (- 1 (cos x)) (sin x)) |
(/ (- 1 (cos x)) (sin x)) |
(/ (- 1 (cos x)) (sin x)) |
(/ (- 1 (cos x)) (sin x)) |
(/ (- 1 (cos x)) (sin x)) |
(/ (- 1 (cos x)) (sin x)) |
(/ (- 1 (cos x)) (sin x)) |
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
(- 1 (cos x)) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* 1/4 x) |
(* x (+ 1/4 (* 1/48 (pow x 2)))) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))))) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))) |
(+ 1/2 (* -1/2 (cos x))) |
(+ 1/2 (* -1/2 (cos x))) |
(+ 1/2 (* -1/2 (cos x))) |
(+ 1/2 (* -1/2 (cos x))) |
(+ 1/2 (* -1/2 (cos x))) |
(+ 1/2 (* -1/2 (cos x))) |
(+ 1/2 (* -1/2 (cos x))) |
(+ 1/2 (* -1/2 (cos x))) |
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
4/3 |
(+ 4/3 (* 1/6 (pow x 2))) |
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2))))) |
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2))))))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(* 3/8 x) |
(* x (+ 3/8 (* -1/16 (pow x 2)))) |
(* x (+ 3/8 (* (pow x 2) (- (* 1/320 (pow x 2)) 1/16)))) |
(* x (+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 1/320 (* -1/13440 (pow x 2)))) 1/16)))) |
(* 3/8 (sin x)) |
(* 3/8 (sin x)) |
(* 3/8 (sin x)) |
(* 3/8 (sin x)) |
(* 3/8 (sin x)) |
(* 3/8 (sin x)) |
(* 3/8 (sin x)) |
(* 3/8 (sin x)) |
| Outputs |
|---|
(* 4/3 x) |
(*.f64 #s(literal 4/3 binary64) x) |
(* x (+ 4/3 (* -1/18 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/18 binary64)) #s(literal 4/3 binary64))) |
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/1440 binary64)) #s(literal -1/18 binary64)) #s(literal 4/3 binary64))) |
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/241920 binary64)) #s(literal 1/1440 binary64)) #s(literal -1/18 binary64)) #s(literal 4/3 binary64))) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 8/3 (sin (* 1/2 x))) |
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/16 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/768 binary64) #s(literal 1/16 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2))))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 61/92160 binary64) #s(literal 5/768 binary64)) #s(literal 1/16 binary64)) #s(literal 1/2 binary64)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) |
(/ (sin (* 1/2 x)) (sin x)) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* -1/48 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/645120 binary64)) #s(literal 1/3840 binary64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) |
(sin (* 1/2 x)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(sin (* 1/2 x)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(sin (* 1/2 x)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(sin (* 1/2 x)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(sin (* 1/2 x)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(sin (* 1/2 x)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(sin (* 1/2 x)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(sin (* 1/2 x)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(/ (- 1 (cos x)) (sin x)) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(/ (- 1 (cos x)) (sin x)) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(/ (- 1 (cos x)) (sin x)) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(/ (- 1 (cos x)) (sin x)) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(/ (- 1 (cos x)) (sin x)) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(/ (- 1 (cos x)) (sin x)) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(/ (- 1 (cos x)) (sin x)) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(/ (- 1 (cos x)) (sin x)) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 4/3 (/ (- 1 (cos x)) (sin x))) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))) |
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) |
(*.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 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
(- 1 (cos x)) |
(-.f64 #s(literal 1 binary64) (cos.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(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) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.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)) #s(literal 1 binary64)) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(* 1/4 x) |
(*.f64 x #s(literal 1/4 binary64)) |
(* x (+ 1/4 (* 1/48 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal 1/4 binary64))) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/480 binary64) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))) |
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64))) #s(literal 1/48 binary64)) #s(literal 1/4 binary64))) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) |
(/ (+ 1/2 (* -1/2 (cos x))) (sin x)) |
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(/.f64 (fma.f64 #s(literal 8/3 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 4/3 binary64)) (sin.f64 x)) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(/.f64 (fma.f64 #s(literal 8/3 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 4/3 binary64)) (sin.f64 x)) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(/.f64 (fma.f64 #s(literal 8/3 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 4/3 binary64)) (sin.f64 x)) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(/.f64 (fma.f64 #s(literal 8/3 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 4/3 binary64)) (sin.f64 x)) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(/.f64 (fma.f64 #s(literal 8/3 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 4/3 binary64)) (sin.f64 x)) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(/.f64 (fma.f64 #s(literal 8/3 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 4/3 binary64)) (sin.f64 x)) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(/.f64 (fma.f64 #s(literal 8/3 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 4/3 binary64)) (sin.f64 x)) |
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x))) |
(/.f64 (fma.f64 #s(literal 8/3 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 4/3 binary64)) (sin.f64 x)) |
(* 1/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/48 binary64)) #s(literal 1/4 binary64)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/1440 binary64) #s(literal -1/48 binary64))) #s(literal 1/4 binary64)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/80640 binary64) #s(literal 1/1440 binary64))) #s(literal -1/48 binary64)) #s(literal 1/4 binary64))) |
(+ 1/2 (* -1/2 (cos x))) |
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos x))) |
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos x))) |
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos x))) |
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos x))) |
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos x))) |
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos x))) |
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos x))) |
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x))) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
4/3 |
#s(literal 4/3 binary64) |
(+ 4/3 (* 1/6 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 4/3 binary64)) |
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 5/288 binary64)) #s(literal 1/6 binary64)) #s(literal 4/3 binary64)) |
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2))))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 61/34560 binary64)) #s(literal 5/288 binary64))) #s(literal 1/6 binary64)) #s(literal 4/3 binary64)) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(* 8/3 (/ (sin (* 1/2 x)) (sin x))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(* 3/8 x) |
(*.f64 x #s(literal 3/8 binary64)) |
(* x (+ 3/8 (* -1/16 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal 3/8 binary64))) |
(* x (+ 3/8 (* (pow x 2) (- (* 1/320 (pow x 2)) 1/16)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/320 binary64)) #s(literal -1/16 binary64)) #s(literal 3/8 binary64))) |
(* x (+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 1/320 (* -1/13440 (pow x 2)))) 1/16)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/13440 binary64) #s(literal 1/320 binary64)) #s(literal -1/16 binary64)) #s(literal 3/8 binary64))) |
(* 3/8 (sin x)) |
(*.f64 (sin.f64 x) #s(literal 3/8 binary64)) |
(* 3/8 (sin x)) |
(*.f64 (sin.f64 x) #s(literal 3/8 binary64)) |
(* 3/8 (sin x)) |
(*.f64 (sin.f64 x) #s(literal 3/8 binary64)) |
(* 3/8 (sin x)) |
(*.f64 (sin.f64 x) #s(literal 3/8 binary64)) |
(* 3/8 (sin x)) |
(*.f64 (sin.f64 x) #s(literal 3/8 binary64)) |
(* 3/8 (sin x)) |
(*.f64 (sin.f64 x) #s(literal 3/8 binary64)) |
(* 3/8 (sin x)) |
(*.f64 (sin.f64 x) #s(literal 3/8 binary64)) |
(* 3/8 (sin x)) |
(*.f64 (sin.f64 x) #s(literal 3/8 binary64)) |
Compiled 25 734 to 3 095 computations (88% saved)
25 alts after pruning (23 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 449 | 19 | 1 468 |
| Fresh | 22 | 4 | 26 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 474 | 25 | 1 499 |
| Status | Accuracy | Program |
|---|---|---|
| 57.1% | (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) | |
| ▶ | 57.1% | (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 (sin.f64 x))) |
| 57.0% | (/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x)) | |
| 54.4% | (/.f64 (*.f64 (-.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 0 binary64) (sin.f64 (+.f64 x x))) #s(literal 2 binary64))) #s(literal 4/3 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) | |
| 57.0% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x)) | |
| 81.0% | (/.f64 (*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) | |
| 99.3% | (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) | |
| 46.5% | (/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 3/8 binary64)) | |
| 56.8% | (/.f64 (*.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) | |
| 57.1% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64))) (sin.f64 x))) | |
| 98.7% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (sin.f64 x))) #s(literal 4/3 binary64)) | |
| ✓ | 57.1% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64)) |
| 99.3% | (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64)) | |
| 98.8% | (*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4/3 binary64)) | |
| 57.1% | (*.f64 (/.f64 #s(literal 4/3 binary64) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 x) #s(literal -1 binary64))) | |
| 57.0% | (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) | |
| ▶ | 98.8% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)) #s(literal 4/3 binary64)) |
| 99.3% | (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4/3 binary64)) | |
| ▶ | 46.4% | (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) |
| 46.2% | (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) | |
| ▶ | 99.4% | (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) |
| 46.4% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) | |
| 46.3% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) | |
| ▶ | 46.2% | (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))) |
| ✓ | 46.3% | (*.f64 #s(literal 2/3 binary64) x) |
Compiled 616 to 439 computations (28.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (cos.f64 x) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 256 | (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 (sin.f64 x))) |
| ✓ | cost-diff | 576 | (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (cos.f64 x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)) #s(literal 4/3 binary64)) |
| ✓ | cost-diff | 6912 | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) |
| 9 910× | lower-fma.f32 |
| 9 900× | lower-fma.f64 |
| 2 746× | lower-+.f32 |
| 2 744× | lower-+.f64 |
| 2 316× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 198 |
| 0 | 62 | 198 |
| 1 | 126 | 194 |
| 2 | 281 | 187 |
| 3 | 669 | 187 |
| 4 | 1677 | 187 |
| 5 | 3430 | 187 |
| 6 | 4447 | 186 |
| 7 | 5787 | 185 |
| 0 | 8075 | 182 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
#s(literal 4/3 binary64) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))) |
x |
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) |
(*.f64 x x) |
#s(literal 1/18 binary64) |
#s(literal 2/3 binary64) |
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
x |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x x) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64))) #s(literal 1/24 binary64)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64))) |
(fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64)) |
(*.f64 x #s(literal 17/40320 binary64)) |
#s(literal 17/40320 binary64) |
#s(literal 1/240 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 4/3 binary64) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)) #s(literal 4/3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
x |
(sin.f64 x) |
#s(literal 4/3 binary64) |
(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 (sin.f64 x))) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)) |
#s(literal 1/2 binary64) |
(cos.f64 x) |
x |
#s(literal -1/2 binary64) |
#s(literal 3/8 binary64) |
(neg.f64 (sin.f64 x)) |
(sin.f64 x) |
| Outputs |
|---|
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
#s(literal 4/3 binary64) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))) |
x |
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) |
(*.f64 x x) |
#s(literal 1/18 binary64) |
#s(literal 2/3 binary64) |
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64))) #s(literal 1/180 binary64))) #s(literal 1/18 binary64))) #s(literal 2/3 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
x |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x x) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64))) #s(literal 1/24 binary64)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64))) |
(fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64)) |
(*.f64 x #s(literal 17/40320 binary64)) |
#s(literal 17/40320 binary64) |
#s(literal 1/240 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 4/3 binary64) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)) #s(literal 4/3 binary64)) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (cos.f64 x)) |
(cos.f64 x) |
x |
(sin.f64 x) |
#s(literal 4/3 binary64) |
(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 (sin.f64 x))) |
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) |
(-.f64 (*.f64 #s(literal 4/3 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)) |
#s(literal 1/2 binary64) |
(cos.f64 x) |
x |
#s(literal -1/2 binary64) |
#s(literal 3/8 binary64) |
(neg.f64 (sin.f64 x)) |
(sin.f64 x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 99.8% | (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) |
| ✓ | accuracy | 81.2% | (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 (sin.f64 x))) |
| ✓ | accuracy | 76.0% | (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)) |
| ✓ | accuracy | 99.4% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)) #s(literal 4/3 binary64)) |
| ✓ | accuracy | 99.3% | (+.f64 #s(literal 1 binary64) (cos.f64 x)) |
| ✓ | accuracy | 99.9% | (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 x (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 17/40320 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.7% | (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))) |
| ✓ | accuracy | 99.4% | (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | accuracy | 99.4% | (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) |
| 136.0ms | 56× | 2 | valid |
| 103.0ms | 143× | 0 | valid |
| 24.0ms | 43× | 1 | valid |
| 15.0ms | 14× | 3 | valid |
Compiled 218 to 41 computations (81.2% saved)
const: 61.0ms (30.4% of total)ival-tan: 43.0ms (21.4% of total)ival-mult: 28.0ms (14% of total)ival-cos: 20.0ms (10% of total)ival-sin: 17.0ms (8.5% of total)ival-add: 11.0ms (5.5% of total)adjust: 10.0ms (5% of total)ival-div: 9.0ms (4.5% of total)exact: 1.0ms (0.5% of total)ival-neg: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))> |
#<alt (tan.f64 (*.f64 x #s(literal 1/2 binary64)))> |
#<alt (*.f64 x #s(literal 1/2 binary64))> |
#<alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)))> |
#<alt (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))> |
#<alt (*.f64 x x)> |
#<alt (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 4/3 binary64))> |
#<alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))> |
#<alt (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))> |
#<alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)) #s(literal 4/3 binary64))> |
#<alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))> |
#<alt (+.f64 #s(literal 1 binary64) (cos.f64 x))> |
#<alt (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 3/8 binary64))> |
#<alt (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 (sin.f64 x)))> |
#<alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64))> |
#<alt (cos.f64 x)> |
#<alt (*.f64 x #s(literal 17/40320 binary64))> |
#<alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64)))> |
#<alt (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64))> |
| Outputs |
|---|
#<alt (* 2/3 x)> |
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))> |
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))> |
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))> |
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))> |
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))> |
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))> |
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))> |
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))> |
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 2/3 x)> |
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))> |
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))> |
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))> |
#<alt (* 1/18 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))> |
#<alt (* 1/18 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))> |
#<alt 2/3> |
#<alt (+ 2/3 (* 1/18 (pow x 2)))> |
#<alt (+ 2/3 (* 1/18 (pow x 2)))> |
#<alt (+ 2/3 (* 1/18 (pow x 2)))> |
#<alt (* 1/18 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))> |
#<alt (* 1/18 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 2/3 x)> |
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))> |
#<alt (* 17/30240 (pow x 7))> |
#<alt (* (pow x 7) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))> |
#<alt (* 17/30240 (pow x 7))> |
#<alt (* (pow x 7) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (pow x 2))) 17/30240)))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))> |
#<alt (* 17/40320 (pow x 7))> |
#<alt (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))> |
#<alt (* 17/40320 (pow x 7))> |
#<alt (* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320)))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))> |
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))> |
#<alt (* 17/40320 (pow x 6))> |
#<alt (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))> |
#<alt (* 17/40320 (pow x 6))> |
#<alt (* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))> |
#<alt (/ (sin x) (+ 1 (cos x)))> |
#<alt (/ (sin x) (+ 1 (cos x)))> |
#<alt (/ (sin x) (+ 1 (cos x)))> |
#<alt (/ (sin x) (+ 1 (cos x)))> |
#<alt (/ (sin x) (+ 1 (cos x)))> |
#<alt (/ (sin x) (+ 1 (cos x)))> |
#<alt (/ (sin x) (+ 1 (cos x)))> |
#<alt (/ (sin x) (+ 1 (cos x)))> |
#<alt (* 2/3 x)> |
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))> |
#<alt (* 4/3 (/ (sin x) (+ 1 (cos x))))> |
#<alt (* 4/3 (/ (sin x) (+ 1 (cos x))))> |
#<alt (* 4/3 (/ (sin x) (+ 1 (cos x))))> |
#<alt (* 4/3 (/ (sin x) (+ 1 (cos x))))> |
#<alt (* 4/3 (/ (sin x) (+ 1 (cos x))))> |
#<alt (* 4/3 (/ (sin x) (+ 1 (cos x))))> |
#<alt (* 4/3 (/ (sin x) (+ 1 (cos x))))> |
#<alt (* 4/3 (/ (sin x) (+ 1 (cos x))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/8 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/48 (pow x 2)))))> |
#<alt (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/48 (* 17/5760 (pow x 2)))))))> |
#<alt (/ 1 (+ 1 (cos x)))> |
#<alt (/ 1 (+ 1 (cos x)))> |
#<alt (/ 1 (+ 1 (cos x)))> |
#<alt (/ 1 (+ 1 (cos x)))> |
#<alt (/ 1 (+ 1 (cos x)))> |
#<alt (/ 1 (+ 1 (cos x)))> |
#<alt (/ 1 (+ 1 (cos x)))> |
#<alt (/ 1 (+ 1 (cos x)))> |
#<alt 2> |
#<alt (+ 2 (* -1/2 (pow x 2)))> |
#<alt (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (+ 1 (cos x))> |
#<alt (+ 1 (cos x))> |
#<alt (+ 1 (cos x))> |
#<alt (+ 1 (cos x))> |
#<alt (+ 1 (cos x))> |
#<alt (+ 1 (cos x))> |
#<alt (+ 1 (cos x))> |
#<alt (+ 1 (cos x))> |
#<alt (* -2/3 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/18 (pow x 2)) 2/3))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/18 (* -1/540 (pow x 2)))) 2/3))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/18 (* (pow x 2) (- (* 1/30240 (pow x 2)) 1/540)))) 2/3))> |
#<alt (* 8/3 (- (* 1/2 (cos x)) 1/2))> |
#<alt (* 8/3 (- (* 1/2 (cos x)) 1/2))> |
#<alt (* 8/3 (- (* 1/2 (cos x)) 1/2))> |
#<alt (* 8/3 (- (* 1/2 (cos x)) 1/2))> |
#<alt (* 8/3 (- (* 1/2 (cos x)) 1/2))> |
#<alt (* 8/3 (- (* 1/2 (cos x)) 1/2))> |
#<alt (* 8/3 (- (* 1/2 (cos x)) 1/2))> |
#<alt (* 8/3 (- (* 1/2 (cos x)) 1/2))> |
#<alt (* 2/3 x)> |
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))> |
#<alt (* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))> |
#<alt (* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))> |
#<alt (* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))> |
#<alt (* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))> |
#<alt (* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))> |
#<alt (* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))> |
#<alt (* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))> |
#<alt (* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/48 (pow x 2)) 1/4))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/48 (* (pow x 2) (- (* 1/80640 (pow x 2)) 1/1440)))) 1/4))> |
#<alt (- (* 1/2 (cos x)) 1/2)> |
#<alt (- (* 1/2 (cos x)) 1/2)> |
#<alt (- (* 1/2 (cos x)) 1/2)> |
#<alt (- (* 1/2 (cos x)) 1/2)> |
#<alt (- (* 1/2 (cos x)) 1/2)> |
#<alt (- (* 1/2 (cos x)) 1/2)> |
#<alt (- (* 1/2 (cos x)) 1/2)> |
#<alt (- (* 1/2 (cos x)) 1/2)> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (* 17/40320 x)> |
#<alt (* 17/40320 x)> |
#<alt (* 17/40320 x)> |
#<alt (* 17/40320 x)> |
#<alt (* 17/40320 x)> |
#<alt (* 17/40320 x)> |
#<alt (* 17/40320 x)> |
#<alt (* 17/40320 x)> |
#<alt (* 17/40320 x)> |
#<alt (* 17/40320 x)> |
#<alt (* 17/40320 x)> |
#<alt (* 17/40320 x)> |
#<alt (* 1/240 x)> |
#<alt (* x (+ 1/240 (* 17/40320 (pow x 2))))> |
#<alt (* x (+ 1/240 (* 17/40320 (pow x 2))))> |
#<alt (* x (+ 1/240 (* 17/40320 (pow x 2))))> |
#<alt (* 17/40320 (pow x 3))> |
#<alt (* (pow x 3) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* 17/40320 (pow x 3))> |
#<alt (* (pow x 3) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt 1/240> |
#<alt (+ 1/240 (* 17/40320 (pow x 2)))> |
#<alt (+ 1/240 (* 17/40320 (pow x 2)))> |
#<alt (+ 1/240 (* 17/40320 (pow x 2)))> |
#<alt (* 17/40320 (pow x 2))> |
#<alt (* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* 17/40320 (pow x 2))> |
#<alt (* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2)))))> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | (* (tan (* x 1/2)) 4/3) |
| 1.0ms | x | @ | inf | (* (tan (* x 1/2)) 4/3) |
| 1.0ms | x | @ | inf | (/ (/ (+ (* 1/2 (cos x)) -1/2) 3/8) (neg (sin x))) |
| 1.0ms | x | @ | -inf | (/ (/ (+ (* 1/2 (cos x)) -1/2) 3/8) (neg (sin x))) |
| 1.0ms | x | @ | inf | (* (/ 1 (+ 1 (cos x))) (sin x)) |
| 1× | batch-egg-rewrite |
| 4 492× | lower-/.f32 |
| 4 486× | lower-/.f64 |
| 4 370× | lower-*.f32 |
| 4 350× | lower-*.f64 |
| 3 140× | lower-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 156 |
| 0 | 62 | 156 |
| 1 | 236 | 151 |
| 2 | 1509 | 145 |
| 0 | 8243 | 145 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) |
(*.f64 x x) |
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)) #s(literal 4/3 binary64)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) |
(+.f64 #s(literal 1 binary64) (cos.f64 x)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) |
(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 (sin.f64 x))) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)) |
(cos.f64 x) |
(*.f64 x #s(literal 17/40320 binary64)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64))) |
(fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64)) |
| Outputs |
|---|
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)))) |
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
(+.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/18 binary64)))) |
(+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/18 binary64))) (*.f64 x #s(literal 2/3 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/18 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/18 binary64)))) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/18 binary64))) (*.f64 x #s(literal 2/3 binary64)))) (/.f64 (*.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 x #s(literal 2/3 binary64))) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/18 binary64))) (*.f64 x #s(literal 2/3 binary64))))) |
(fma.f64 x #s(literal 2/3 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/18 binary64)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x #s(literal 2/3 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/18 binary64)) (*.f64 x #s(literal 2/3 binary64))) |
(fma.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 2/3 binary64))) |
(fma.f64 #s(literal 2/3 binary64) x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/18 binary64)))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x (*.f64 x #s(literal 2/3 binary64))) |
(fma.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 x x) (*.f64 x #s(literal 2/3 binary64))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/18 binary64) (*.f64 x #s(literal 2/3 binary64))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/18 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/18 binary64))) (-.f64 (*.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 x #s(literal 2/3 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/18 binary64))) (*.f64 x #s(literal 2/3 binary64))))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/5832 binary64))) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 8/27 binary64) (*.f64 x (*.f64 x x)))))) |
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/1625702400 binary64)) (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal -1/240 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal -1/240 binary64)) #s(literal 1/57600 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal -1/240 binary64)) (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal -1/240 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 4913/65548320768000 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 4913/65548320768000 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 4913/65548320768000 binary64))) #s(literal 1/2641807540224000000000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 4913/65548320768000 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 4913/65548320768000 binary64)) (-.f64 #s(literal 1/191102976000000 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 4913/906139986296832000000 binary64)))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/1625702400 binary64) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 4913/65548320768000 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 4913/65548320768000 binary64)) #s(literal -1/191102976000000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 4913/65548320768000 binary64) #s(literal -1/13824000 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/1625702400 binary64) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 4913/65548320768000 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 4913/65548320768000 binary64)) #s(literal -1/191102976000000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/1625702400 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/1625702400 binary64)) (+.f64 #s(literal 1/3317760000 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/1625702400 binary64)) #s(literal 1/57600 binary64)))) (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal -1/240 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/1625702400 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/1625702400 binary64)) #s(literal -1/3317760000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/1625702400 binary64) #s(literal 1/57600 binary64)) (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal -1/240 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 4913/65548320768000 binary64) #s(literal 1/13824000 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/1625702400 binary64) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/1625702400 binary64) #s(literal -1/57600 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal -1/240 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/1625702400 binary64)))) (neg.f64 (-.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/1625702400 binary64)) (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal -1/240 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/57600 binary64) (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal -1/240 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/1625702400 binary64)) (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal -1/240 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/1625702400 binary64)) (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal -1/240 binary64))) (fma.f64 (/.f64 #s(literal 1/57600 binary64) (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal -1/240 binary64))) (/.f64 #s(literal 1/57600 binary64) (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal -1/240 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/1625702400 binary64)) (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal -1/240 binary64))) (/.f64 #s(literal 1/57600 binary64) (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal -1/240 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/1625702400 binary64)) (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal -1/240 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/1625702400 binary64)) (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal -1/240 binary64)))) (*.f64 (/.f64 #s(literal 1/57600 binary64) (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal -1/240 binary64))) (/.f64 #s(literal 1/57600 binary64) (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal -1/240 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/1625702400 binary64)) (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal -1/240 binary64))) (/.f64 #s(literal 1/57600 binary64) (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal -1/240 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 4913/65548320768000 binary64) #s(literal 1/13824000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/1625702400 binary64) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 4913/65548320768000 binary64) #s(literal 1/13824000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/57600 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/1625702400 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/1625702400 binary64) #s(literal -1/57600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal -1/240 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 4913/65548320768000 binary64) #s(literal 1/13824000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/1625702400 binary64) (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 x x) #s(literal 17/9676800 binary64))))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/1625702400 binary64) #s(literal -1/57600 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal -1/240 binary64))))) |
(*.f64 (-.f64 #s(literal 1/57600 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/1625702400 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/240 binary64) (*.f64 x (*.f64 x #s(literal 17/40320 binary64)))))) |
| 1× | egg-herbie |
| 14 512× | lower-fma.f64 |
| 14 512× | lower-fma.f32 |
| 4 450× | lower-*.f64 |
| 4 450× | lower-*.f32 |
| 4 222× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 210 | 1932 |
| 1 | 610 | 1932 |
| 2 | 1621 | 1894 |
| 3 | 4049 | 1884 |
| 4 | 7865 | 1884 |
| 0 | 8104 | 1744 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* 1/18 (pow x 3)) |
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(* 1/18 (pow x 3)) |
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
2/3 |
(+ 2/3 (* 1/18 (pow x 2))) |
(+ 2/3 (* 1/18 (pow x 2))) |
(+ 2/3 (* 1/18 (pow x 2))) |
(* 1/18 (pow x 2)) |
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(* 1/18 (pow x 2)) |
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/18 (* 2/3 (/ 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) |
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 17/30240 (pow x 7)) |
(* (pow x 7) (+ 17/30240 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6))))))) |
(* 17/30240 (pow x 7)) |
(* (pow x 7) (+ 17/30240 (* 1/180 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (pow x 2))) 17/30240))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/30240 (* 1/180 (/ 1 (pow x 2))))))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(* 17/40320 (pow x 7)) |
(* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))) |
(* 17/40320 (pow x 7)) |
(* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) |
(* 17/40320 (pow x 6)) |
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))) |
(* 17/40320 (pow x 6)) |
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(/ (sin x) (+ 1 (cos x))) |
(/ (sin x) (+ 1 (cos x))) |
(/ (sin x) (+ 1 (cos x))) |
(/ (sin x) (+ 1 (cos x))) |
(/ (sin x) (+ 1 (cos x))) |
(/ (sin x) (+ 1 (cos x))) |
(/ (sin x) (+ 1 (cos x))) |
(/ (sin x) (+ 1 (cos x))) |
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 4/3 (/ (sin x) (+ 1 (cos x)))) |
(* 4/3 (/ (sin x) (+ 1 (cos x)))) |
(* 4/3 (/ (sin x) (+ 1 (cos x)))) |
(* 4/3 (/ (sin x) (+ 1 (cos x)))) |
(* 4/3 (/ (sin x) (+ 1 (cos x)))) |
(* 4/3 (/ (sin x) (+ 1 (cos x)))) |
(* 4/3 (/ (sin x) (+ 1 (cos x)))) |
(* 4/3 (/ (sin x) (+ 1 (cos x)))) |
1/2 |
(+ 1/2 (* 1/8 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/8 (* 1/48 (pow x 2))))) |
(+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/48 (* 17/5760 (pow x 2))))))) |
(/ 1 (+ 1 (cos x))) |
(/ 1 (+ 1 (cos x))) |
(/ 1 (+ 1 (cos x))) |
(/ 1 (+ 1 (cos x))) |
(/ 1 (+ 1 (cos x))) |
(/ 1 (+ 1 (cos x))) |
(/ 1 (+ 1 (cos x))) |
(/ 1 (+ 1 (cos x))) |
2 |
(+ 2 (* -1/2 (pow x 2))) |
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(+ 1 (cos x)) |
(+ 1 (cos x)) |
(+ 1 (cos x)) |
(+ 1 (cos x)) |
(+ 1 (cos x)) |
(+ 1 (cos x)) |
(+ 1 (cos x)) |
(+ 1 (cos x)) |
(* -2/3 (pow x 2)) |
(* (pow x 2) (- (* 1/18 (pow x 2)) 2/3)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/18 (* -1/540 (pow x 2)))) 2/3)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/18 (* (pow x 2) (- (* 1/30240 (pow x 2)) 1/540)))) 2/3)) |
(* 8/3 (- (* 1/2 (cos x)) 1/2)) |
(* 8/3 (- (* 1/2 (cos x)) 1/2)) |
(* 8/3 (- (* 1/2 (cos x)) 1/2)) |
(* 8/3 (- (* 1/2 (cos x)) 1/2)) |
(* 8/3 (- (* 1/2 (cos x)) 1/2)) |
(* 8/3 (- (* 1/2 (cos x)) 1/2)) |
(* 8/3 (- (* 1/2 (cos x)) 1/2)) |
(* 8/3 (- (* 1/2 (cos x)) 1/2)) |
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) |
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) |
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) |
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) |
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) |
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) |
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) |
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) |
(* -1/4 (pow x 2)) |
(* (pow x 2) (- (* 1/48 (pow x 2)) 1/4)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/48 (* (pow x 2) (- (* 1/80640 (pow x 2)) 1/1440)))) 1/4)) |
(- (* 1/2 (cos x)) 1/2) |
(- (* 1/2 (cos x)) 1/2) |
(- (* 1/2 (cos x)) 1/2) |
(- (* 1/2 (cos x)) 1/2) |
(- (* 1/2 (cos x)) 1/2) |
(- (* 1/2 (cos x)) 1/2) |
(- (* 1/2 (cos x)) 1/2) |
(- (* 1/2 (cos x)) 1/2) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* 17/40320 x) |
(* 17/40320 x) |
(* 17/40320 x) |
(* 17/40320 x) |
(* 17/40320 x) |
(* 17/40320 x) |
(* 17/40320 x) |
(* 17/40320 x) |
(* 17/40320 x) |
(* 17/40320 x) |
(* 17/40320 x) |
(* 17/40320 x) |
(* 1/240 x) |
(* x (+ 1/240 (* 17/40320 (pow x 2)))) |
(* x (+ 1/240 (* 17/40320 (pow x 2)))) |
(* x (+ 1/240 (* 17/40320 (pow x 2)))) |
(* 17/40320 (pow x 3)) |
(* (pow x 3) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* 17/40320 (pow x 3)) |
(* (pow x 3) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
1/240 |
(+ 1/240 (* 17/40320 (pow x 2))) |
(+ 1/240 (* 17/40320 (pow x 2))) |
(+ 1/240 (* 17/40320 (pow x 2))) |
(* 17/40320 (pow x 2)) |
(* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* 17/40320 (pow x 2)) |
(* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
| Outputs |
|---|
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(* 1/18 (pow x 3)) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(* 1/18 (pow x 3)) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
2/3 |
#s(literal 2/3 binary64) |
(+ 2/3 (* 1/18 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)) |
(+ 2/3 (* 1/18 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)) |
(+ 2/3 (* 1/18 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)) |
(* 1/18 (pow x 2)) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)) |
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)) |
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)) |
(* 1/18 (pow x 2)) |
(*.f64 #s(literal 1/18 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)) |
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)) |
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(* 17/30240 (pow x 7)) |
(*.f64 #s(literal 17/30240 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 17/30240 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 17/30240 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x)))) |
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 17/30240 binary64) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) (/.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6))))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 17/30240 binary64) (/.f64 #s(literal 1/18 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(* 17/30240 (pow x 7)) |
(*.f64 #s(literal 17/30240 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 17/30240 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 17/30240 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (pow x 2))) 17/30240))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 17/30240 binary64) (/.f64 (+.f64 #s(literal 1/180 binary64) (/.f64 #s(literal 1/18 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/30240 (* 1/180 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 17/30240 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/18 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(* 17/40320 (pow x 7)) |
(*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal -1/240 binary64) (*.f64 x x)))) |
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 17/40320 binary64) (+.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 x x)) (/.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 7) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(* 17/40320 (pow x 7)) |
(*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal -1/240 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/240 (* 1/24 (/ 1 (pow x 2)))) (pow x 2))) 17/40320))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 17/40320 binary64) (/.f64 (+.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (-.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal -1/240 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
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 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(* 17/40320 (pow x 6)) |
(*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal -1/240 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 17/40320 binary64) (+.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 x x)) (/.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 17/40320 binary64) (+.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 x x)) (/.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1/2 binary64)) |
(* 17/40320 (pow x 6)) |
(*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 17/40320 binary64) (/.f64 #s(literal -1/240 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (* 1/240 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 17/40320 binary64) (+.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 x x)) (/.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 6) (+ 17/40320 (+ (/ 1/24 (pow x 4)) (+ (* 1/240 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 17/40320 binary64) (+.f64 (/.f64 #s(literal 1/240 binary64) (*.f64 x x)) (/.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(/ (sin x) (+ 1 (cos x))) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/ (sin x) (+ 1 (cos x))) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/ (sin x) (+ 1 (cos x))) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/ (sin x) (+ 1 (cos x))) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/ (sin x) (+ 1 (cos x))) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/ (sin x) (+ 1 (cos x))) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/ (sin x) (+ 1 (cos x))) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(/ (sin x) (+ 1 (cos x))) |
(tan.f64 (/.f64 x #s(literal 2 binary64))) |
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(* 4/3 (/ (sin x) (+ 1 (cos x)))) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(* 4/3 (/ (sin x) (+ 1 (cos x)))) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(* 4/3 (/ (sin x) (+ 1 (cos x)))) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(* 4/3 (/ (sin x) (+ 1 (cos x)))) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(* 4/3 (/ (sin x) (+ 1 (cos x)))) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(* 4/3 (/ (sin x) (+ 1 (cos x)))) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(* 4/3 (/ (sin x) (+ 1 (cos x)))) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
(* 4/3 (/ (sin x) (+ 1 (cos x)))) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (/.f64 x #s(literal 2 binary64)))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/8 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (+ 1/8 (* 1/48 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/48 (* 17/5760 (pow x 2))))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 17/5760 binary64)) #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) |
(/ 1 (+ 1 (cos x))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/ 1 (+ 1 (cos x))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/ 1 (+ 1 (cos x))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/ 1 (+ 1 (cos x))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/ 1 (+ 1 (cos x))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/ 1 (+ 1 (cos x))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/ 1 (+ 1 (cos x))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/ 1 (+ 1 (cos x))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.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)) #s(literal 2 binary64)) |
(+ 1 (cos x)) |
(+.f64 #s(literal 1 binary64) (cos.f64 x)) |
(+ 1 (cos x)) |
(+.f64 #s(literal 1 binary64) (cos.f64 x)) |
(+ 1 (cos x)) |
(+.f64 #s(literal 1 binary64) (cos.f64 x)) |
(+ 1 (cos x)) |
(+.f64 #s(literal 1 binary64) (cos.f64 x)) |
(+ 1 (cos x)) |
(+.f64 #s(literal 1 binary64) (cos.f64 x)) |
(+ 1 (cos x)) |
(+.f64 #s(literal 1 binary64) (cos.f64 x)) |
(+ 1 (cos x)) |
(+.f64 #s(literal 1 binary64) (cos.f64 x)) |
(+ 1 (cos x)) |
(+.f64 #s(literal 1 binary64) (cos.f64 x)) |
(* -2/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -2/3 binary64)) |
(* (pow x 2) (- (* 1/18 (pow x 2)) 2/3)) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal -2/3 binary64)))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/18 (* -1/540 (pow x 2)))) 2/3)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/540 binary64)) #s(literal 1/18 binary64)) #s(literal -2/3 binary64)))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/18 (* (pow x 2) (- (* 1/30240 (pow x 2)) 1/540)))) 2/3)) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/30240 binary64) #s(literal -1/540 binary64)) #s(literal 1/18 binary64)) #s(literal -2/3 binary64))) |
(* 8/3 (- (* 1/2 (cos x)) 1/2)) |
(fma.f64 #s(literal 4/3 binary64) (cos.f64 x) #s(literal -4/3 binary64)) |
(* 8/3 (- (* 1/2 (cos x)) 1/2)) |
(fma.f64 #s(literal 4/3 binary64) (cos.f64 x) #s(literal -4/3 binary64)) |
(* 8/3 (- (* 1/2 (cos x)) 1/2)) |
(fma.f64 #s(literal 4/3 binary64) (cos.f64 x) #s(literal -4/3 binary64)) |
(* 8/3 (- (* 1/2 (cos x)) 1/2)) |
(fma.f64 #s(literal 4/3 binary64) (cos.f64 x) #s(literal -4/3 binary64)) |
(* 8/3 (- (* 1/2 (cos x)) 1/2)) |
(fma.f64 #s(literal 4/3 binary64) (cos.f64 x) #s(literal -4/3 binary64)) |
(* 8/3 (- (* 1/2 (cos x)) 1/2)) |
(fma.f64 #s(literal 4/3 binary64) (cos.f64 x) #s(literal -4/3 binary64)) |
(* 8/3 (- (* 1/2 (cos x)) 1/2)) |
(fma.f64 #s(literal 4/3 binary64) (cos.f64 x) #s(literal -4/3 binary64)) |
(* 8/3 (- (* 1/2 (cos x)) 1/2)) |
(fma.f64 #s(literal 4/3 binary64) (cos.f64 x) #s(literal -4/3 binary64)) |
(* 2/3 x) |
(*.f64 #s(literal 2/3 binary64) x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) |
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x)) |
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) |
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x)) |
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) |
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x)) |
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) |
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x)) |
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) |
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x)) |
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) |
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x)) |
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) |
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x)) |
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x))) |
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x)) |
(* -1/4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/4 binary64))) |
(* (pow x 2) (- (* 1/48 (pow x 2)) 1/4)) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/48 binary64)) #s(literal -1/4 binary64)))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4)) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/48 (* (pow x 2) (- (* 1/80640 (pow x 2)) 1/1440)))) 1/4)) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/80640 binary64) #s(literal -1/1440 binary64)) #s(literal 1/48 binary64)) #s(literal -1/4 binary64))) |
(- (* 1/2 (cos x)) 1/2) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)) |
(- (* 1/2 (cos x)) 1/2) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)) |
(- (* 1/2 (cos x)) 1/2) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)) |
(- (* 1/2 (cos x)) 1/2) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)) |
(- (* 1/2 (cos x)) 1/2) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)) |
(- (* 1/2 (cos x)) 1/2) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)) |
(- (* 1/2 (cos x)) 1/2) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)) |
(- (* 1/2 (cos x)) 1/2) |
(fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(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) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fma.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)) #s(literal 1 binary64)) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(* 17/40320 x) |
(*.f64 x #s(literal 17/40320 binary64)) |
(* 17/40320 x) |
(*.f64 x #s(literal 17/40320 binary64)) |
(* 17/40320 x) |
(*.f64 x #s(literal 17/40320 binary64)) |
(* 17/40320 x) |
(*.f64 x #s(literal 17/40320 binary64)) |
(* 17/40320 x) |
(*.f64 x #s(literal 17/40320 binary64)) |
(* 17/40320 x) |
(*.f64 x #s(literal 17/40320 binary64)) |
(* 17/40320 x) |
(*.f64 x #s(literal 17/40320 binary64)) |
(* 17/40320 x) |
(*.f64 x #s(literal 17/40320 binary64)) |
(* 17/40320 x) |
(*.f64 x #s(literal 17/40320 binary64)) |
(* 17/40320 x) |
(*.f64 x #s(literal 17/40320 binary64)) |
(* 17/40320 x) |
(*.f64 x #s(literal 17/40320 binary64)) |
(* 17/40320 x) |
(*.f64 x #s(literal 17/40320 binary64)) |
(* 1/240 x) |
(*.f64 x #s(literal 1/240 binary64)) |
(* x (+ 1/240 (* 17/40320 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64))) |
(* x (+ 1/240 (* 17/40320 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64))) |
(* x (+ 1/240 (* 17/40320 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64))) |
(* 17/40320 (pow x 3)) |
(*.f64 #s(literal 17/40320 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64))) |
(* (pow x 3) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64))) |
(* (pow x 3) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64))) |
(* 17/40320 (pow x 3)) |
(*.f64 #s(literal 17/40320 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64))) |
(* (pow x 3) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64))) |
(* (pow x 3) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64))) |
1/240 |
#s(literal 1/240 binary64) |
(+ 1/240 (* 17/40320 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) |
(+ 1/240 (* 17/40320 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) |
(+ 1/240 (* 17/40320 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) |
(* 17/40320 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 17/40320 binary64)) |
(* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) |
(* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) |
(* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) |
(* 17/40320 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 17/40320 binary64)) |
(* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) |
(* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) |
(* (pow x 2) (+ 17/40320 (* 1/240 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) |
Compiled 23 753 to 2 714 computations (88.6% saved)
22 alts after pruning (16 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 903 | 9 | 912 |
| Fresh | 11 | 7 | 18 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 915 | 22 | 937 |
| Status | Accuracy | Program |
|---|---|---|
| 46.2% | (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x (*.f64 x #s(literal 2/3 binary64))) | |
| 57.1% | (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) | |
| 57.1% | (/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x)) | |
| ✓ | 57.1% | (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 (sin.f64 x))) |
| 57.0% | (/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x)) | |
| ▶ | 99.3% | (/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
| ▶ | 46.5% | (/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 3/8 binary64)) |
| 98.8% | (/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x))) | |
| ▶ | 99.3% | (/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
| 98.8% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 4/3 binary64) (sin.f64 x)))) | |
| ✓ | 57.1% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64)) |
| 98.8% | (*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4/3 binary64)) | |
| ▶ | 57.1% | (*.f64 (/.f64 #s(literal 4/3 binary64) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
| ▶ | 99.3% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 4/3 binary64)) |
| 98.8% | (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x))) (*.f64 #s(literal 4/3 binary64) (sin.f64 x))) | |
| 99.3% | (*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 4/3 binary64)) | |
| ✓ | 46.4% | (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) |
| ✓ | 99.4% | (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) |
| 46.4% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) | |
| 46.3% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) | |
| ✓ | 46.2% | (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))) |
| ✓ | 46.3% | (*.f64 #s(literal 2/3 binary64) x) |
Compiled 429 to 315 computations (26.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (sin.f64 x) |
| ✓ | cost-diff | 0 | (neg.f64 (sin.f64 x)) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 4/3 binary64) (neg.f64 (sin.f64 x))) |
| ✓ | cost-diff | 6976 | (*.f64 (/.f64 #s(literal 4/3 binary64) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 1088 | (/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/4 binary64)) |
| ✓ | cost-diff | 704 | (/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 3/8 binary64)) |
| ✓ | cost-diff | 0 | (tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 4/3 binary64)) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
| 572× | lower-fma.f64 |
| 572× | lower-fma.f32 |
| 548× | times-frac |
| 420× | associate-*r* |
| 408× | lower-*.f32 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 131 |
| 0 | 43 | 119 |
| 1 | 76 | 117 |
| 2 | 131 | 117 |
| 3 | 236 | 117 |
| 4 | 482 | 117 |
| 5 | 1064 | 114 |
| 6 | 1979 | 114 |
| 7 | 2508 | 114 |
| 8 | 2553 | 114 |
| 9 | 2599 | 114 |
| 10 | 2619 | 114 |
| 11 | 2626 | 114 |
| 12 | 2644 | 114 |
| 13 | 2649 | 114 |
| 14 | 2650 | 114 |
| 0 | 2650 | 114 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 4/3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
#s(literal 4/3 binary64) |
(/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 3/8 binary64)) |
(*.f64 x #s(literal 1/4 binary64)) |
x |
#s(literal 1/4 binary64) |
#s(literal 3/8 binary64) |
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
#s(literal 4/3 binary64) |
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
#s(literal 1 binary64) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 #s(literal 4/3 binary64) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 #s(literal 4/3 binary64) (neg.f64 (sin.f64 x))) |
#s(literal 4/3 binary64) |
(neg.f64 (sin.f64 x)) |
(sin.f64 x) |
x |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(cos.f64 x) |
#s(literal -1 binary64) |
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
#s(literal 4/3 binary64) |
(cos.f64 (*.f64 x #s(literal 1/2 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 4/3 binary64)) |
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
#s(literal 4/3 binary64) |
(/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 3/8 binary64)) |
(*.f64 x #s(literal 2/3 binary64)) |
(*.f64 x #s(literal 1/4 binary64)) |
x |
#s(literal 1/4 binary64) |
#s(literal 3/8 binary64) |
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) |
#s(literal 4/3 binary64) |
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
#s(literal 1 binary64) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 #s(literal 4/3 binary64) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 x #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 4/3 binary64) (neg.f64 (sin.f64 x))) |
(/.f64 #s(literal -4/3 binary64) (sin.f64 x)) |
#s(literal 4/3 binary64) |
(neg.f64 (sin.f64 x)) |
(sin.f64 x) |
x |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(cos.f64 x) |
#s(literal -1 binary64) |
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) |
(*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
#s(literal 4/3 binary64) |
(cos.f64 (*.f64 x #s(literal 1/2 binary64))) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (cos.f64 (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | accuracy | 99.8% | (/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 99.5% | (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) |
| ✓ | accuracy | 100.0% | (cos.f64 x) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 4/3 binary64) (neg.f64 (sin.f64 x))) |
| ✓ | accuracy | 81.2% | (*.f64 (/.f64 #s(literal 4/3 binary64) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
| ✓ | accuracy | 76.0% | (+.f64 (cos.f64 x) #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
| ✓ | accuracy | 100.0% | (/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 3/8 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 1/4 binary64)) |
| ✓ | accuracy | 100.0% | (tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
| ✓ | accuracy | 99.4% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 4/3 binary64)) |
| 69.0ms | 143× | 0 | valid |
| 30.0ms | 56× | 2 | valid |
| 13.0ms | 42× | 1 | valid |
| 11.0ms | 15× | 3 | valid |
Compiled 133 to 27 computations (79.7% saved)
ival-sin: 28.0ms (29.5% of total)ival-cos: 24.0ms (25.3% of total)ival-div: 10.0ms (10.5% of total)ival-mult: 9.0ms (9.5% of total)ival-tan: 7.0ms (7.4% of total)adjust: 6.0ms (6.3% of total)const: 6.0ms (6.3% of total)ival-add: 2.0ms (2.1% of total)exact: 1.0ms (1.1% of total)ival-neg: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 4/3 binary64))> |
#<alt (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))> |
#<alt (tan.f64 (*.f64 x #s(literal 1/2 binary64)))> |
#<alt (/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 3/8 binary64))> |
#<alt (*.f64 x #s(literal 1/4 binary64))> |
#<alt (/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))> |
#<alt (*.f64 x #s(literal 1/2 binary64))> |
#<alt (*.f64 (/.f64 #s(literal 4/3 binary64) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 x) #s(literal -1 binary64)))> |
#<alt (/.f64 #s(literal 4/3 binary64) (neg.f64 (sin.f64 x)))> |
#<alt (neg.f64 (sin.f64 x))> |
#<alt (sin.f64 x)> |
#<alt (/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))> |
#<alt (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))> |
#<alt (sin.f64 (*.f64 x #s(literal 1/2 binary64)))> |
#<alt (+.f64 (cos.f64 x) #s(literal -1 binary64))> |
#<alt (cos.f64 x)> |
#<alt (cos.f64 (*.f64 x #s(literal 1/2 binary64)))> |
| Outputs |
|---|
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (* 2/3 x)> |
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))> |
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))> |
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))> |
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))> |
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))> |
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))> |
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))> |
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))> |
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))> |
#<alt (/ 2 x)> |
#<alt (/ (+ 2 (* -1/6 (pow x 2))) x)> |
#<alt (/ (+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6))) x)> |
#<alt (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6))) x)> |
#<alt (/ (cos (* 1/2 x)) (sin (* 1/2 x)))> |
#<alt (/ (cos (* 1/2 x)) (sin (* 1/2 x)))> |
#<alt (/ (cos (* 1/2 x)) (sin (* 1/2 x)))> |
#<alt (/ (cos (* 1/2 x)) (sin (* 1/2 x)))> |
#<alt (/ (cos (* 1/2 x)) (sin (* 1/2 x)))> |
#<alt (/ (cos (* 1/2 x)) (sin (* 1/2 x)))> |
#<alt (/ (cos (* 1/2 x)) (sin (* 1/2 x)))> |
#<alt (/ (cos (* 1/2 x)) (sin (* 1/2 x)))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (/ (sin (* 1/2 x)) (cos (* 1/2 x)))> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 2/3 x)> |
#<alt (* 1/4 x)> |
#<alt (* 1/4 x)> |
#<alt (* 1/4 x)> |
#<alt (* 1/4 x)> |
#<alt (* 1/4 x)> |
#<alt (* 1/4 x)> |
#<alt (* 1/4 x)> |
#<alt (* 1/4 x)> |
#<alt (* 1/4 x)> |
#<alt (* 1/4 x)> |
#<alt (* 1/4 x)> |
#<alt (* 1/4 x)> |
#<alt (* 2/3 x)> |
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))> |
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))> |
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))> |
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))> |
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))> |
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))> |
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))> |
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))> |
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 2/3 x)> |
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))> |
#<alt (* -4/3 (/ (- (cos x) 1) (sin x)))> |
#<alt (* -4/3 (/ (- (cos x) 1) (sin x)))> |
#<alt (* -4/3 (/ (- (cos x) 1) (sin x)))> |
#<alt (* -4/3 (/ (- (cos x) 1) (sin x)))> |
#<alt (* -4/3 (/ (- (cos x) 1) (sin x)))> |
#<alt (* -4/3 (/ (- (cos x) 1) (sin x)))> |
#<alt (* -4/3 (/ (- (cos x) 1) (sin x)))> |
#<alt (* -4/3 (/ (- (cos x) 1) (sin x)))> |
#<alt (/ -4/3 x)> |
#<alt (/ (- (* -2/9 (pow x 2)) 4/3) x)> |
#<alt (/ (- (* (pow x 2) (- (* -7/270 (pow x 2)) 2/9)) 4/3) x)> |
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -31/11340 (pow x 2)) 7/270)) 2/9)) 4/3) x)> |
#<alt (/ -4/3 (sin x))> |
#<alt (/ -4/3 (sin x))> |
#<alt (/ -4/3 (sin x))> |
#<alt (/ -4/3 (sin x))> |
#<alt (/ -4/3 (sin x))> |
#<alt (/ -4/3 (sin x))> |
#<alt (/ -4/3 (sin x))> |
#<alt (/ -4/3 (sin x))> |
#<alt (* -1 x)> |
#<alt (* x (- (* 1/6 (pow x 2)) 1))> |
#<alt (* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1))> |
#<alt (* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1))> |
#<alt (* -1 (sin x))> |
#<alt (* -1 (sin x))> |
#<alt (* -1 (sin x))> |
#<alt (* -1 (sin x))> |
#<alt (* -1 (sin x))> |
#<alt (* -1 (sin x))> |
#<alt (* -1 (sin x))> |
#<alt (* -1 (sin x))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (* 2/3 x)> |
#<alt (* x (+ 2/3 (* 1/18 (pow x 2))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))> |
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))> |
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))> |
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))> |
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))> |
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))> |
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))> |
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))> |
#<alt (* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))> |
#<alt (* 2/3 x)> |
#<alt (* x (+ 2/3 (* -1/36 (pow x 2))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/36))))> |
#<alt (* x (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/2880 (* -1/483840 (pow x 2)))) 1/36))))> |
#<alt (* 4/3 (sin (* 1/2 x)))> |
#<alt (* 4/3 (sin (* 1/2 x)))> |
#<alt (* 4/3 (sin (* 1/2 x)))> |
#<alt (* 4/3 (sin (* 1/2 x)))> |
#<alt (* 4/3 (sin (* 1/2 x)))> |
#<alt (* 4/3 (sin (* 1/2 x)))> |
#<alt (* 4/3 (sin (* 1/2 x)))> |
#<alt (* 4/3 (sin (* 1/2 x)))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1/48 (pow x 2))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))> |
#<alt (sin (* 1/2 x))> |
#<alt (sin (* 1/2 x))> |
#<alt (sin (* 1/2 x))> |
#<alt (sin (* 1/2 x))> |
#<alt (sin (* 1/2 x))> |
#<alt (sin (* 1/2 x))> |
#<alt (sin (* 1/2 x))> |
#<alt (sin (* 1/2 x))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2))> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt (- (cos x) 1)> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt (cos x)> |
#<alt 1> |
#<alt (+ 1 (* -1/8 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/384 (pow x 2)) 1/8)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/384 (* -1/46080 (pow x 2)))) 1/8)))> |
#<alt (cos (* 1/2 x))> |
#<alt (cos (* 1/2 x))> |
#<alt (cos (* 1/2 x))> |
#<alt (cos (* 1/2 x))> |
#<alt (cos (* 1/2 x))> |
#<alt (cos (* 1/2 x))> |
#<alt (cos (* 1/2 x))> |
#<alt (cos (* 1/2 x))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | 0 | (* (sin (* x 1/2)) 4/3) |
| 1.0ms | x | @ | inf | (* (/ 4/3 (neg (sin x))) (+ (cos x) -1)) |
| 1.0ms | x | @ | -inf | (* (/ 4/3 (neg (sin x))) (+ (cos x) -1)) |
| 1.0ms | x | @ | -inf | (/ 1 (tan (* x 1/2))) |
| 1.0ms | x | @ | inf | (/ 1 (tan (* x 1/2))) |
| 1× | batch-egg-rewrite |
| 4 092× | lower-*.f32 |
| 4 082× | lower-*.f64 |
| 2 796× | lower-/.f32 |
| 2 784× | lower-/.f64 |
| 2 494× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 98 |
| 0 | 43 | 81 |
| 1 | 129 | 79 |
| 2 | 612 | 79 |
| 3 | 4943 | 79 |
| 0 | 8270 | 78 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 4/3 binary64)) |
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 3/8 binary64)) |
(*.f64 x #s(literal 1/4 binary64)) |
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 4/3 binary64) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(/.f64 #s(literal 4/3 binary64) (neg.f64 (sin.f64 x))) |
(neg.f64 (sin.f64 x)) |
(sin.f64 x) |
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) |
(sin.f64 (*.f64 x #s(literal 1/2 binary64))) |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(cos.f64 x) |
(cos.f64 (*.f64 x #s(literal 1/2 binary64))) |
| Outputs |
|---|
(exp.f64 (log.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -2 binary64))) #s(literal -1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(tan.f64 (*.f64 x #s(literal 1/2 binary64))) |
(neg.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (neg.f64 (log.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))))) |
(/.f64 (exp.f64 (log.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) (exp.f64 (log.f64 #s(literal -1 binary64)))) |
(/.f64 (exp.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (exp.f64 (log.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))) (exp.f64 (log.f64 (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))) |
(pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (sqrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))) |
(*.f64 (exp.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(neg.f64 (*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)) |
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))) |
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal -4/3 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -4/3 binary64)) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 3/4 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -4/3 binary64))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -4/3 binary64)) #s(literal 1 binary64)) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (/.f64 #s(literal 4/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -4/3 binary64)) #s(literal -1 binary64)) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(pow.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))) |
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) |
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -4/3 binary64) (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -4/3 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -4/3 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (/.f64 (/.f64 #s(literal 3/4 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 4/3 binary64) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -4/3 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -4/3 binary64))) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 4/3 binary64))) |
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 3/4 binary64)) #s(literal -1 binary64))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -2 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (+.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(*.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))) |
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (+.f64 (cos.f64 x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal -1 binary64)))) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 x)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal -1 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 (cos.f64 x)) (+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 (cos.f64 x) #s(literal 6 binary64))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(exp.f64 (log.f64 (cos.f64 x))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64))) |
(cos.f64 x) |
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x))) |
(neg.f64 (neg.f64 (cos.f64 x))) |
(pow.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 x)) |
(*.f64 (cos.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 x))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(exp.f64 (log.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(cos.f64 (*.f64 x #s(literal 1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(neg.f64 (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
| 1× | egg-herbie |
| 14 550× | lower-fma.f64 |
| 14 550× | lower-fma.f32 |
| 4 854× | lower-*.f64 |
| 4 854× | lower-*.f32 |
| 3 636× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 214 | 1601 |
| 1 | 540 | 1601 |
| 2 | 1301 | 1589 |
| 3 | 3991 | 1583 |
| 4 | 5277 | 1583 |
| 5 | 7507 | 1583 |
| 0 | 8031 | 1488 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/ 2 x) |
(/ (+ 2 (* -1/6 (pow x 2))) x) |
(/ (+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6))) x) |
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6))) x) |
(/ (cos (* 1/2 x)) (sin (* 1/2 x))) |
(/ (cos (* 1/2 x)) (sin (* 1/2 x))) |
(/ (cos (* 1/2 x)) (sin (* 1/2 x))) |
(/ (cos (* 1/2 x)) (sin (* 1/2 x))) |
(/ (cos (* 1/2 x)) (sin (* 1/2 x))) |
(/ (cos (* 1/2 x)) (sin (* 1/2 x))) |
(/ (cos (* 1/2 x)) (sin (* 1/2 x))) |
(/ (cos (* 1/2 x)) (sin (* 1/2 x))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 2/3 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* -4/3 (/ (- (cos x) 1) (sin x))) |
(* -4/3 (/ (- (cos x) 1) (sin x))) |
(* -4/3 (/ (- (cos x) 1) (sin x))) |
(* -4/3 (/ (- (cos x) 1) (sin x))) |
(* -4/3 (/ (- (cos x) 1) (sin x))) |
(* -4/3 (/ (- (cos x) 1) (sin x))) |
(* -4/3 (/ (- (cos x) 1) (sin x))) |
(* -4/3 (/ (- (cos x) 1) (sin x))) |
(/ -4/3 x) |
(/ (- (* -2/9 (pow x 2)) 4/3) x) |
(/ (- (* (pow x 2) (- (* -7/270 (pow x 2)) 2/9)) 4/3) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -31/11340 (pow x 2)) 7/270)) 2/9)) 4/3) x) |
(/ -4/3 (sin x)) |
(/ -4/3 (sin x)) |
(/ -4/3 (sin x)) |
(/ -4/3 (sin x)) |
(/ -4/3 (sin x)) |
(/ -4/3 (sin x)) |
(/ -4/3 (sin x)) |
(/ -4/3 (sin x)) |
(* -1 x) |
(* x (- (* 1/6 (pow x 2)) 1)) |
(* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)) |
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1)) |
(* -1 (sin x)) |
(* -1 (sin x)) |
(* -1 (sin x)) |
(* -1 (sin x)) |
(* -1 (sin x)) |
(* -1 (sin x)) |
(* -1 (sin x)) |
(* -1 (sin x)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(* 2/3 x) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(* 2/3 x) |
(* x (+ 2/3 (* -1/36 (pow x 2)))) |
(* x (+ 2/3 (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/36)))) |
(* x (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/2880 (* -1/483840 (pow x 2)))) 1/36)))) |
(* 4/3 (sin (* 1/2 x))) |
(* 4/3 (sin (* 1/2 x))) |
(* 4/3 (sin (* 1/2 x))) |
(* 4/3 (sin (* 1/2 x))) |
(* 4/3 (sin (* 1/2 x))) |
(* 4/3 (sin (* 1/2 x))) |
(* 4/3 (sin (* 1/2 x))) |
(* 4/3 (sin (* 1/2 x))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/48 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(sin (* 1/2 x)) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
(- (cos x) 1) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
1 |
(+ 1 (* -1/8 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/384 (pow x 2)) 1/8))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/384 (* -1/46080 (pow x 2)))) 1/8))) |
(cos (* 1/2 x)) |
(cos (* 1/2 x)) |
(cos (* 1/2 x)) |
(cos (* 1/2 x)) |
(cos (* 1/2 x)) |
(cos (* 1/2 x)) |
(cos (* 1/2 x)) |
(cos (* 1/2 x)) |
| Outputs |
|---|
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ (+ 2 (* -1/6 (pow x 2))) x) |
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) x) |
(/ (+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6))) x) |
(/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/360 binary64) #s(literal -1/6 binary64))) #s(literal 2 binary64)) x) |
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6))) x) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/15120 binary64)) #s(literal -1/360 binary64))) #s(literal -1/6 binary64)) #s(literal 2 binary64)) x) |
(/ (cos (* 1/2 x)) (sin (* 1/2 x))) |
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (cos (* 1/2 x)) (sin (* 1/2 x))) |
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (cos (* 1/2 x)) (sin (* 1/2 x))) |
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (cos (* 1/2 x)) (sin (* 1/2 x))) |
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (cos (* 1/2 x)) (sin (* 1/2 x))) |
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (cos (* 1/2 x)) (sin (* 1/2 x))) |
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (cos (* 1/2 x)) (sin (* 1/2 x))) |
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (cos (* 1/2 x)) (sin (* 1/2 x))) |
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2)))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/40320 binary64) #s(literal 1/240 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/ (sin (* 1/2 x)) (cos (* 1/2 x))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* 1/4 x) |
(*.f64 x #s(literal 1/4 binary64)) |
(* 1/4 x) |
(*.f64 x #s(literal 1/4 binary64)) |
(* 1/4 x) |
(*.f64 x #s(literal 1/4 binary64)) |
(* 1/4 x) |
(*.f64 x #s(literal 1/4 binary64)) |
(* 1/4 x) |
(*.f64 x #s(literal 1/4 binary64)) |
(* 1/4 x) |
(*.f64 x #s(literal 1/4 binary64)) |
(* 1/4 x) |
(*.f64 x #s(literal 1/4 binary64)) |
(* 1/4 x) |
(*.f64 x #s(literal 1/4 binary64)) |
(* 1/4 x) |
(*.f64 x #s(literal 1/4 binary64)) |
(* 1/4 x) |
(*.f64 x #s(literal 1/4 binary64)) |
(* 1/4 x) |
(*.f64 x #s(literal 1/4 binary64)) |
(* 1/4 x) |
(*.f64 x #s(literal 1/4 binary64)) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(* -4/3 (/ (- (cos x) 1) (sin x))) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) |
(* -4/3 (/ (- (cos x) 1) (sin x))) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) |
(* -4/3 (/ (- (cos x) 1) (sin x))) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) |
(* -4/3 (/ (- (cos x) 1) (sin x))) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) |
(* -4/3 (/ (- (cos x) 1) (sin x))) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) |
(* -4/3 (/ (- (cos x) 1) (sin x))) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) |
(* -4/3 (/ (- (cos x) 1) (sin x))) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) |
(* -4/3 (/ (- (cos x) 1) (sin x))) |
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x)) |
(/ -4/3 x) |
(/.f64 #s(literal -4/3 binary64) x) |
(/ (- (* -2/9 (pow x 2)) 4/3) x) |
(fma.f64 x #s(literal -2/9 binary64) (/.f64 #s(literal -4/3 binary64) x)) |
(/ (- (* (pow x 2) (- (* -7/270 (pow x 2)) 2/9)) 4/3) x) |
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -7/270 binary64)) #s(literal -2/9 binary64)) (/.f64 #s(literal -4/3 binary64) x)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -31/11340 (pow x 2)) 7/270)) 2/9)) 4/3) x) |
(fma.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -31/11340 binary64) #s(literal -7/270 binary64))) #s(literal -2/9 binary64)) (/.f64 #s(literal -4/3 binary64) x)) |
(/ -4/3 (sin x)) |
(/.f64 #s(literal -4/3 binary64) (sin.f64 x)) |
(/ -4/3 (sin x)) |
(/.f64 #s(literal -4/3 binary64) (sin.f64 x)) |
(/ -4/3 (sin x)) |
(/.f64 #s(literal -4/3 binary64) (sin.f64 x)) |
(/ -4/3 (sin x)) |
(/.f64 #s(literal -4/3 binary64) (sin.f64 x)) |
(/ -4/3 (sin x)) |
(/.f64 #s(literal -4/3 binary64) (sin.f64 x)) |
(/ -4/3 (sin x)) |
(/.f64 #s(literal -4/3 binary64) (sin.f64 x)) |
(/ -4/3 (sin x)) |
(/.f64 #s(literal -4/3 binary64) (sin.f64 x)) |
(/ -4/3 (sin x)) |
(/.f64 #s(literal -4/3 binary64) (sin.f64 x)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 1/6 (pow x 2)) 1)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(* x (- (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2)))) 1)) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))) 1)) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(* -1 (sin x)) |
(neg.f64 (sin.f64 x)) |
(* -1 (sin x)) |
(neg.f64 (sin.f64 x)) |
(* -1 (sin x)) |
(neg.f64 (sin.f64 x)) |
(* -1 (sin x)) |
(neg.f64 (sin.f64 x)) |
(* -1 (sin x)) |
(neg.f64 (sin.f64 x)) |
(* -1 (sin x)) |
(neg.f64 (sin.f64 x)) |
(* -1 (sin x)) |
(neg.f64 (sin.f64 x)) |
(* -1 (sin x)) |
(neg.f64 (sin.f64 x)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* x (+ 2/3 (* 1/18 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x)))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(* 2/3 x) |
(*.f64 x #s(literal 2/3 binary64)) |
(* x (+ 2/3 (* -1/36 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/36 binary64)) #s(literal 2/3 binary64))) |
(* x (+ 2/3 (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/36)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2880 binary64)) #s(literal -1/36 binary64)) #s(literal 2/3 binary64))) |
(* x (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/2880 (* -1/483840 (pow x 2)))) 1/36)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/483840 binary64)) #s(literal 1/2880 binary64))) #s(literal -1/36 binary64)) #s(literal 2/3 binary64))) |
(* 4/3 (sin (* 1/2 x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) |
(* 4/3 (sin (* 1/2 x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) |
(* 4/3 (sin (* 1/2 x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) |
(* 4/3 (sin (* 1/2 x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) |
(* 4/3 (sin (* 1/2 x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) |
(* 4/3 (sin (* 1/2 x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) |
(* 4/3 (sin (* 1/2 x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) |
(* 4/3 (sin (* 1/2 x))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* -1/48 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/3840 binary64) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) |
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/645120 binary64) #s(literal 1/3840 binary64))) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))) |
(sin (* 1/2 x)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(sin (* 1/2 x)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(sin (* 1/2 x)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(sin (* 1/2 x)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(sin (* 1/2 x)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(sin (* 1/2 x)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(sin (* 1/2 x)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(sin (* 1/2 x)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(* -1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/2 binary64))) |
(* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)) |
(*.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))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/24 (* (pow x 2) (- (* 1/40320 (pow x 2)) 1/720)))) 1/2)) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/40320 binary64)) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) |
(- (cos x) 1) |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(- (cos x) 1) |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(- (cos x) 1) |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(- (cos x) 1) |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(- (cos x) 1) |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(- (cos x) 1) |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(- (cos x) 1) |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
(- (cos x) 1) |
(+.f64 (cos.f64 x) #s(literal -1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(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)) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/384 (pow x 2)) 1/8))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/384 (* -1/46080 (pow x 2)))) 1/8))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64)) |
(cos (* 1/2 x)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(cos (* 1/2 x)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(cos (* 1/2 x)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(cos (* 1/2 x)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(cos (* 1/2 x)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(cos (* 1/2 x)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(cos (* 1/2 x)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) x)) |
(cos (* 1/2 x)) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 16 736 to 2 114 computations (87.4% saved)
24 alts after pruning (16 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 162 | 9 | 1 171 |
| Fresh | 4 | 7 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 169 | 24 | 1 193 |
| Status | Accuracy | Program |
|---|---|---|
| 46.2% | (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x (*.f64 x #s(literal 2/3 binary64))) | |
| 57.1% | (/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x)) | |
| ✓ | 57.1% | (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 (sin.f64 x))) |
| ✓ | 46.5% | (/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 3/8 binary64)) |
| 98.8% | (/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x))) | |
| 99.7% | (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)) | |
| 99.6% | (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))) | |
| 46.3% | (/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 4 binary64) x)) | |
| 47.2% | (/.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/15120 binary64)) #s(literal -1/360 binary64))) #s(literal -1/6 binary64)) #s(literal 2 binary64)) x)) | |
| 47.2% | (/.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) x)) | |
| 46.3% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x)) | |
| 99.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) | |
| ✓ | 57.1% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64)) |
| 98.8% | (*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4/3 binary64)) | |
| 47.2% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) x)) #s(literal 4/3 binary64)) | |
| 46.2% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) x)) #s(literal 8/3 binary64)) | |
| ✓ | 99.3% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 4/3 binary64)) |
| 98.8% | (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x))) (*.f64 #s(literal 4/3 binary64) (sin.f64 x))) | |
| ✓ | 46.4% | (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) |
| ✓ | 99.4% | (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) |
| 46.4% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) | |
| 46.3% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) | |
| ✓ | 46.2% | (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))) |
| ✓ | 46.3% | (*.f64 #s(literal 2/3 binary64) x) |
Compiled 1 108 to 442 computations (60.1% saved)
| Inputs |
|---|
(*.f64 #s(literal 2/3 binary64) x) |
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))) |
(/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 3/8 binary64)) |
(*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x (*.f64 x #s(literal 2/3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x)) |
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 4 binary64) x)) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) x)) #s(literal 8/3 binary64)) |
(/.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) x)) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) x)) #s(literal 4/3 binary64)) |
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) |
(/.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/15120 binary64)) #s(literal -1/360 binary64))) #s(literal -1/6 binary64)) #s(literal 2 binary64)) x)) |
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) |
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)) |
(/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 x x)) (sin.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 4/3 binary64)) |
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/18 binary64) #s(literal 2/3 binary64)))) (sin.f64 x)) |
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/540 binary64)) #s(literal -1/18 binary64)) #s(literal 2/3 binary64)))) (sin.f64 x)) |
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4/3 binary64)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64)) |
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x)) |
(*.f64 (/.f64 #s(literal 4/3 binary64) (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 x) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) |
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)) #s(literal 4/3 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x))) (*.f64 #s(literal 4/3 binary64) (sin.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) |
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64)) |
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 4/3 binary64) (sin.f64 x)))) |
(/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x))) |
(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4/3 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 4/3 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64))) (sin.f64 x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (sin.f64 x))) #s(literal 4/3 binary64)) |
(*.f64 #s(literal 8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 x))) |
(*.f64 #s(literal -8/3 binary64) (pow.f64 (/.f64 (sin.f64 x) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (pow.f64 (/.f64 #s(literal -3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x))) |
(/.f64 (*.f64 #s(literal 4/3 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (*.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)))) |
(/.f64 (*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (sin.f64 x)) |
(fma.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
(/.f64 (*.f64 (-.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 0 binary64) (sin.f64 (+.f64 x x))) #s(literal 2 binary64))) #s(literal 4/3 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x))) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (sin.f64 x)))) |
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal 3/8 binary64) (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) #s(literal 3 binary64))) (*.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (sin.f64 x)))))) |
| Outputs |
|---|
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)) |
2 calls:
| 20.0ms | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| 19.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
Compiled 19 to 12 computations (36.8% saved)
| Inputs |
|---|
(*.f64 #s(literal 2/3 binary64) x) |
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))) |
(/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 3/8 binary64)) |
(*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x (*.f64 x #s(literal 2/3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x)) |
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 4 binary64) x)) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) x)) #s(literal 8/3 binary64)) |
(/.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) x)) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) x)) #s(literal 4/3 binary64)) |
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) |
(/.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/15120 binary64)) #s(literal -1/360 binary64))) #s(literal -1/6 binary64)) #s(literal 2 binary64)) x)) |
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) |
| Outputs |
|---|
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) |
2 calls:
| 6.0ms | x |
| 6.0ms | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | x |
| 99.4% | 1 | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
Compiled 19 to 12 computations (36.8% saved)
| Inputs |
|---|
(*.f64 #s(literal 2/3 binary64) x) |
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))) |
(/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 3/8 binary64)) |
(*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x (*.f64 x #s(literal 2/3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x)) |
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 4 binary64) x)) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) x)) #s(literal 8/3 binary64)) |
(/.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) x)) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) x)) #s(literal 4/3 binary64)) |
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) |
(/.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/15120 binary64)) #s(literal -1/360 binary64))) #s(literal -1/6 binary64)) #s(literal 2 binary64)) x)) |
| Outputs |
|---|
(/.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/15120 binary64)) #s(literal -1/360 binary64))) #s(literal -1/6 binary64)) #s(literal 2 binary64)) x)) |
2 calls:
| 5.0ms | x |
| 5.0ms | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.2% | 1 | x |
| 47.2% | 1 | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
Compiled 19 to 12 computations (36.8% saved)
| Inputs |
|---|
(*.f64 #s(literal 2/3 binary64) x) |
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))) |
(/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 3/8 binary64)) |
(*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x (*.f64 x #s(literal 2/3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x)) |
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 4 binary64) x)) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) x)) #s(literal 8/3 binary64)) |
(/.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) x)) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) x)) #s(literal 4/3 binary64)) |
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 17/40320 binary64)) #s(literal 1/240 binary64))) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) |
| Outputs |
|---|
(/.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) x)) |
2 calls:
| 6.0ms | x |
| 5.0ms | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.2% | 1 | x |
| 47.2% | 1 | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
Compiled 19 to 12 computations (36.8% saved)
| Inputs |
|---|
(*.f64 #s(literal 2/3 binary64) x) |
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))) |
(/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 3/8 binary64)) |
(*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/18 binary64)) x (*.f64 x #s(literal 2/3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x)) |
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 4 binary64) x)) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) #s(literal 2/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) x)) #s(literal 8/3 binary64)) |
| Outputs |
|---|
(/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 3/8 binary64)) |
2 calls:
| 4.0ms | x |
| 4.0ms | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.5% | 1 | x |
| 46.5% | 1 | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
Compiled 19 to 12 computations (36.8% saved)
Total -0.3b remaining (-0.9%)
Threshold costs -0.3b (-0.9%)
| Inputs |
|---|
(*.f64 #s(literal 2/3 binary64) x) |
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))) |
| Outputs |
|---|
(*.f64 #s(literal 2/3 binary64) x) |
2 calls:
| 2.0ms | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.3% | 1 | x |
| 46.3% | 1 | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)) |
Compiled 19 to 12 computations (36.8% saved)
| 1× | egg-herbie |
| 14× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 50 |
| 1 | 37 | 50 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)) |
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) |
(/.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/15120 binary64)) #s(literal -1/360 binary64))) #s(literal -1/6 binary64)) #s(literal 2 binary64)) x)) |
(/.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) x)) |
(/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 3/8 binary64)) |
(*.f64 #s(literal 2/3 binary64) x) |
| Outputs |
|---|
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)) |
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) |
(/.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/15120 binary64)) #s(literal -1/360 binary64))) #s(literal -1/6 binary64)) #s(literal 2 binary64)) x)) |
(/.f64 #s(literal 4/3 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64)) x)) |
(/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 3/8 binary64)) |
(*.f64 #s(literal 2/3 binary64) x) |
(*.f64 x #s(literal 2/3 binary64)) |
| 18 506× | lower-fma.f64 |
| 18 506× | lower-fma.f32 |
| 15 404× | lower-fma.f64 |
| 15 404× | lower-fma.f32 |
| 14 550× | lower-fma.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 98 |
| 0 | 43 | 81 |
| 1 | 129 | 79 |
| 2 | 612 | 79 |
| 3 | 4943 | 79 |
| 0 | 8270 | 78 |
| 0 | 34 | 156 |
| 0 | 62 | 156 |
| 1 | 236 | 151 |
| 2 | 1509 | 145 |
| 0 | 8243 | 145 |
| 0 | 214 | 1601 |
| 1 | 540 | 1601 |
| 2 | 1301 | 1589 |
| 3 | 3991 | 1583 |
| 4 | 5277 | 1583 |
| 5 | 7507 | 1583 |
| 0 | 8031 | 1488 |
| 0 | 90 | 414 |
| 1 | 252 | 414 |
| 2 | 600 | 408 |
| 3 | 1799 | 408 |
| 4 | 3352 | 408 |
| 5 | 4719 | 408 |
| 6 | 5032 | 408 |
| 7 | 5327 | 408 |
| 8 | 5949 | 408 |
| 9 | 7813 | 408 |
| 0 | 8080 | 384 |
| 0 | 11 | 34 |
| 0 | 19 | 34 |
| 1 | 34 | 28 |
| 2 | 115 | 28 |
| 3 | 628 | 24 |
| 0 | 4915 | 24 |
| 0 | 235 | 1550 |
| 1 | 686 | 1550 |
| 2 | 1699 | 1544 |
| 3 | 3112 | 1544 |
| 4 | 5437 | 1544 |
| 5 | 5730 | 1544 |
| 6 | 6150 | 1544 |
| 7 | 7100 | 1544 |
| 0 | 8019 | 1430 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 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 |
Compiled 137 to 102 computations (25.5% saved)
(negabs x)
Compiled 198 to 128 computations (35.4% saved)
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