
Time bar (total: 14.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 7 |
| 65.6% | 65.5% | 34.3% | 0.1% | 0% | 0% | 0% | 8 |
| 65.6% | 65.5% | 34.3% | 0.1% | 0% | 0% | 0% | 9 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 10 |
| 82% | 81.9% | 17.9% | 0.1% | 0% | 0% | 0% | 11 |
| 82% | 81.9% | 17.9% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 10 to 9 computations (10% saved)
| 654.0ms | 8 256× | 0 | valid |
ival-cosh: 277.0ms (59.6% of total)ival-div: 124.0ms (26.7% of total)ival-mult: 54.0ms (11.6% of total)ival-true: 6.0ms (1.3% of total)ival-assert: 3.0ms (0.6% of total)| 1× | egg-herbie |
| 1 288× | lower-*.f32 |
| 1 286× | lower-*.f64 |
| 1 168× | neg-sub0 |
| 1 164× | times-frac |
| 774× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 87 |
| 1 | 106 | 75 |
| 2 | 336 | 75 |
| 3 | 1231 | 75 |
| 4 | 4255 | 75 |
| 5 | 7562 | 75 |
| 0 | 7 | 8 |
| 0 | 11 | 8 |
| 1 | 22 | 8 |
| 2 | 45 | 8 |
| 3 | 94 | 8 |
| 4 | 191 | 8 |
| 5 | 299 | 8 |
| 6 | 487 | 8 |
| 7 | 1061 | 8 |
| 8 | 2206 | 8 |
| 9 | 2598 | 8 |
| 10 | 2799 | 8 |
| 11 | 2810 | 8 |
| 12 | 2810 | 8 |
| 13 | 2847 | 8 |
| 14 | 2852 | 8 |
| 15 | 2854 | 8 |
| 16 | 2859 | 8 |
| 17 | 2859 | 8 |
| 0 | 2859 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Outputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) |
(negabs z)
(negabs y)
(negabs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 33 | 0 | - | 0 | - | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 12 | 0 | - | 0 | - | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 0 | 0 | - | 0 | - | (/.f64 y x) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (cosh.f64 x) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f64 | (*.f64 (cosh.f64 x) (/.f64 y x)) | o*u | 33 | 0 |
| ↳ | (cosh.f64 x) | overflow | 120 | |
| ↳ | (/.f64 y x) | underflow | 33 | |
/.f64 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) | o/n | 12 | 0 |
| ↳ | (cosh.f64 x) | overflow | 120 | |
| ↳ | (/.f64 y x) | overflow | 43 | |
| ↳ | (*.f64 (cosh.f64 x) (/.f64 y x)) | overflow | 163 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 45 | 0 |
| - | 0 | 211 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 45 | 0 | 0 |
| - | 0 | 0 | 211 |
| number | freq |
|---|---|
| 0 | 211 |
| 1 | 45 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 34.0ms | 512× | 0 | valid |
Compiled 70 to 32 computations (54.3% saved)
ival-div: 7.0ms (43.2% of total)ival-cosh: 5.0ms (30.9% of total)ival-mult: 3.0ms (18.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 82.6% | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Compiled 11 to 7 computations (36.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 y x) |
| ✓ | cost-diff | 0 | (cosh.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| ✓ | cost-diff | 384 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 1 288× | lower-*.f32 |
| 1 286× | lower-*.f64 |
| 1 164× | times-frac |
| 764× | lower-fma.f64 |
| 764× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 22 |
| 0 | 11 | 22 |
| 1 | 22 | 22 |
| 2 | 45 | 22 |
| 3 | 94 | 22 |
| 4 | 191 | 22 |
| 5 | 299 | 22 |
| 6 | 487 | 22 |
| 7 | 1061 | 22 |
| 8 | 2206 | 22 |
| 9 | 2598 | 22 |
| 10 | 2799 | 22 |
| 11 | 2810 | 22 |
| 12 | 2810 | 22 |
| 13 | 2847 | 22 |
| 14 | 2852 | 22 |
| 15 | 2854 | 22 |
| 16 | 2859 | 22 |
| 17 | 2859 | 22 |
| 0 | 2859 | 22 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(*.f64 (cosh.f64 x) (/.f64 y x)) |
(cosh.f64 x) |
x |
(/.f64 y x) |
y |
z |
| Outputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) |
(*.f64 (cosh.f64 x) (/.f64 y x)) |
(/.f64 (*.f64 (cosh.f64 x) y) x) |
(cosh.f64 x) |
x |
(/.f64 y x) |
y |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 y x) |
| ✓ | accuracy | 100.0% | (cosh.f64 x) |
| ✓ | accuracy | 95.5% | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| ✓ | accuracy | 89.7% | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 18.0ms | 256× | 0 | valid |
Compiled 24 to 9 computations (62.5% saved)
ival-div: 3.0ms (37.9% of total)ival-cosh: 3.0ms (37.9% of total)ival-mult: 1.0ms (12.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)> |
#<alt (*.f64 (cosh.f64 x) (/.f64 y x))> |
#<alt (cosh.f64 x)> |
#<alt (/.f64 y x)> |
| Outputs |
|---|
#<alt (/ y (* x z))> |
#<alt (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)> |
#<alt (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)> |
#<alt (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (/ y x)> |
#<alt (/ (+ y (* 1/2 (* (pow x 2) y))) x)> |
#<alt (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)> |
#<alt (/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x)> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (/ (* (cosh x) (/ y x)) z) |
| 2.0ms | y | @ | -inf | (/ (* (cosh x) (/ y x)) z) |
| 2.0ms | x | @ | inf | (/ (* (cosh x) (/ y x)) z) |
| 2.0ms | x | @ | 0 | (/ (* (cosh x) (/ y x)) z) |
| 2.0ms | y | @ | 0 | (/ (* (cosh x) (/ y x)) z) |
| 1× | batch-egg-rewrite |
| 3 410× | lower-/.f32 |
| 3 406× | lower-/.f64 |
| 3 324× | lower-*.f32 |
| 3 322× | lower-*.f64 |
| 1 104× | frac-2neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 19 |
| 0 | 11 | 19 |
| 1 | 36 | 19 |
| 2 | 208 | 19 |
| 3 | 2161 | 19 |
| 0 | 8571 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(*.f64 (cosh.f64 x) (/.f64 y x)) |
(cosh.f64 x) |
(/.f64 y x) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x z) (*.f64 (cosh.f64 x) y))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x (neg.f64 z)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x (neg.f64 z))) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) (/.f64 (/.f64 y (*.f64 x (neg.f64 z))) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 x z))) (/.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 x z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 x z) (cosh.f64 x))) (/.f64 (neg.f64 y) (/.f64 (*.f64 x z) (cosh.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z (cosh.f64 x))) (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x (neg.f64 z)))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x z) y))) (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x z) y)))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) y) z)) (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) y) z))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 z (/.f64 (*.f64 x #s(literal 2 binary64)) y))) (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 z (/.f64 (*.f64 x #s(literal 2 binary64)) y)))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 (/.f64 (*.f64 x z) y) #s(literal 2 binary64))) (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (*.f64 (/.f64 (*.f64 x z) y) #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (/.f64 (*.f64 x #s(literal 2 binary64)) y))) (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x (neg.f64 z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 z (cosh.f64 x)))) (/.f64 (/.f64 y x) (neg.f64 (/.f64 z (cosh.f64 x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 x z) y))) (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x (neg.f64 z)))) |
(neg.f64 (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x (neg.f64 z)))) |
(neg.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x (neg.f64 z))) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 x z)))) |
(neg.f64 (/.f64 (neg.f64 y) (/.f64 (*.f64 x z) (cosh.f64 x)))) |
(neg.f64 (/.f64 (/.f64 y (*.f64 x (neg.f64 z))) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))) |
(neg.f64 (/.f64 (/.f64 y x) (neg.f64 (/.f64 z (cosh.f64 x))))) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x (*.f64 (cosh.f64 x) y)))) |
(neg.f64 (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 x (neg.f64 z))))) |
(neg.f64 (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) (*.f64 (*.f64 x (neg.f64 z)) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (cosh.f64 x)) (*.f64 x z)) #s(literal -2 binary64))) |
(neg.f64 (/.f64 (*.f64 y (/.f64 (cosh.f64 x) z)) (neg.f64 x))) |
(/.f64 (cosh.f64 x) (/.f64 (*.f64 x z) y)) |
(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 x z))) |
(/.f64 y (/.f64 (*.f64 x z) (cosh.f64 x))) |
(/.f64 y (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 x (neg.f64 z))))) |
(/.f64 y (neg.f64 (/.f64 (*.f64 x (neg.f64 z)) (cosh.f64 x)))) |
(/.f64 (/.f64 y x) (/.f64 z (cosh.f64 x))) |
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x z) y))) |
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) y) z)) |
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 z (/.f64 (*.f64 x #s(literal 2 binary64)) y))) |
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x z) y) #s(literal 2 binary64))) |
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (neg.f64 (*.f64 (/.f64 (*.f64 x z) y) #s(literal -2 binary64)))) |
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (neg.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x z) y)))) |
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y (neg.f64 x))) (neg.f64 z)) |
(/.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 x (neg.f64 z)))) |
(/.f64 (neg.f64 y) (/.f64 (*.f64 x (neg.f64 z)) (cosh.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) (*.f64 (cosh.f64 x) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 x z)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x z) (cosh.f64 x)) y)) |
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(cosh.f64 x) |
(cosh.f64 (neg.f64 x)) |
(neg.f64 (neg.f64 (cosh.f64 x))) |
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(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (sinh.f64 x))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal -1 binary64)) |
(*.f64 (cosh.f64 x) #s(literal 1 binary64)) |
(*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (cosh.f64 x)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 x))) |
(*.f64 (*.f64 (cosh.f64 x) #s(literal -2 binary64)) #s(literal -1/2 binary64)) |
(*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal -2 binary64))))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) |
(*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) |
(*.f64 (neg.f64 (cosh.f64 x)) #s(literal -1 binary64)) |
(*.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))) |
(*.f64 (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (*.f64 x #s(literal -2 binary64)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) #s(literal -1/2 binary64))) |
(+.f64 #s(literal 0 binary64) (/.f64 y x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 y (neg.f64 x))) |
(neg.f64 (/.f64 y (neg.f64 x))) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 y x) |
(/.f64 (/.f64 y x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 y) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x y)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y))) |
(/.f64 (/.f64 y (neg.f64 x)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) x) (*.f64 (neg.f64 x) (/.f64 x y))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x)) (*.f64 (neg.f64 x) (/.f64 x (neg.f64 y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) y)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 y))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y (neg.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 y (neg.f64 x)) (/.f64 y (neg.f64 x)) (*.f64 #s(literal 0 binary64) (/.f64 y (neg.f64 x)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y (neg.f64 x)) (/.f64 y (neg.f64 x)))) (/.f64 y (neg.f64 x))) |
(pow.f64 (/.f64 y x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 x y))) #s(literal -1 binary64)) |
(*.f64 y (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 y x) #s(literal 1 binary64)) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 y x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) y) |
(*.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 x))) |
(*.f64 (/.f64 y (neg.f64 x)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 y x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
| 1× | egg-herbie |
| 15 684× | lower-fma.f64 |
| 15 684× | lower-fma.f32 |
| 5 420× | lower-*.f64 |
| 5 420× | lower-*.f32 |
| 2 024× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 1004 |
| 1 | 201 | 1000 |
| 2 | 599 | 988 |
| 3 | 1416 | 982 |
| 4 | 2110 | 982 |
| 5 | 2777 | 980 |
| 6 | 3318 | 980 |
| 7 | 4807 | 976 |
| 8 | 5464 | 976 |
| 9 | 5934 | 976 |
| 10 | 6466 | 976 |
| 11 | 7754 | 976 |
| 0 | 8037 | 958 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/ y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
| Outputs |
|---|
(/ y (* x z)) |
(/.f64 y (*.f64 x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z)) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 y (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)))) y) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 x z)) |
(/ y x) |
(/.f64 y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
(*.f64 (/.f64 y x) (fma.f64 x (*.f64 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))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
Compiled 6 624 to 1 065 computations (83.9% saved)
15 alts after pruning (15 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 466 | 15 | 481 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 467 | 15 | 482 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 65.7% | (/.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)) z) |
| 67.4% | (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z)) | |
| 76.7% | (/.f64 (fma.f64 x (*.f64 x (*.f64 y (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)))) y) (*.f64 x z)) | |
| 74.6% | (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)) | |
| 86.5% | (/.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x) z) | |
| 50.6% | (/.f64 (/.f64 y x) z) | |
| ▶ | 74.0% | (/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) z) |
| ▶ | 77.9% | (/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 y x)) z) |
| 66.0% | (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y x)) z) | |
| ▶ | 95.5% | (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) |
| 74.7% | (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) y) z)) | |
| ▶ | 50.1% | (/.f64 y (*.f64 x z)) |
| 82.6% | (*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x)) | |
| 89.2% | (*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x)) | |
| 81.0% | (*.f64 y (/.f64 (cosh.f64 x) (*.f64 x z))) |
Compiled 456 to 282 computations (38.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 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))) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 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)) |
| ✓ | cost-diff | 64 | (/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 y x)) z) |
| ✓ | cost-diff | 320 | (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 y x)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 64 | (/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) z) |
| ✓ | cost-diff | 320 | (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) |
| ✓ | cost-diff | 0 | (/.f64 y x) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)) |
| ✓ | cost-diff | 64 | (/.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)) z) |
| ✓ | cost-diff | 0 | (*.f64 x z) |
| ✓ | cost-diff | 0 | (/.f64 y (*.f64 x z)) |
| ✓ | cost-diff | 0 | (cosh.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 (cosh.f64 x) x) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (cosh.f64 x) x) y) |
| ✓ | cost-diff | 384 | (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) |
| 17 350× | lower-fma.f32 |
| 17 338× | lower-fma.f64 |
| 3 882× | lower-*.f32 |
| 3 866× | lower-*.f64 |
| 1 778× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 227 |
| 0 | 57 | 227 |
| 1 | 122 | 227 |
| 2 | 279 | 227 |
| 3 | 620 | 227 |
| 4 | 1622 | 227 |
| 5 | 3682 | 223 |
| 6 | 6512 | 223 |
| 7 | 7040 | 223 |
| 8 | 7237 | 223 |
| 9 | 7339 | 223 |
| 10 | 7476 | 223 |
| 0 | 8088 | 219 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) |
(*.f64 (/.f64 (cosh.f64 x) x) y) |
(/.f64 (cosh.f64 x) x) |
(cosh.f64 x) |
x |
y |
z |
(/.f64 y (*.f64 x z)) |
y |
(*.f64 x z) |
x |
z |
(/.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)) z) |
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)) |
y |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(/.f64 y x) |
z |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) z) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
z |
(/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 y x)) z) |
(*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 y x)) |
(fma.f64 x (*.f64 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)) |
x |
(*.f64 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))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x x) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
z |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) |
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) |
(*.f64 (/.f64 (cosh.f64 x) x) y) |
(/.f64 (cosh.f64 x) x) |
(cosh.f64 x) |
x |
y |
z |
(/.f64 y (*.f64 x z)) |
y |
(*.f64 x z) |
x |
z |
(/.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)) z) |
(/.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x y)) y) (*.f64 x z)) |
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)) |
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (/.f64 y x)) |
y |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(/.f64 y x) |
z |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) z) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) y) (*.f64 x z)) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) |
(fma.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 y x)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
z |
(/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 y x)) z) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 y (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))) y) (*.f64 x z)) |
(*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 y x)) |
(fma.f64 x (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 y x)) |
(fma.f64 x (*.f64 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)) |
x |
(*.f64 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))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x x) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
z |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (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)) |
| ✓ | accuracy | 99.8% | (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
| ✓ | accuracy | 92.6% | (/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 y x)) z) |
| ✓ | accuracy | 86.0% | (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 y x)) |
| ✓ | accuracy | 99.9% | (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/24 binary64)) |
| ✓ | accuracy | 91.8% | (/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) z) |
| ✓ | accuracy | 86.3% | (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) |
| ✓ | accuracy | 100.0% | (/.f64 y x) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)) |
| ✓ | accuracy | 92.8% | (/.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)) z) |
| ✓ | accuracy | 100.0% | (*.f64 x z) |
| ✓ | accuracy | 92.2% | (/.f64 y (*.f64 x z)) |
| ✓ | accuracy | 100.0% | (cosh.f64 x) |
| ✓ | accuracy | 100.0% | (/.f64 (cosh.f64 x) x) |
| ✓ | accuracy | 99.9% | (*.f64 (/.f64 (cosh.f64 x) x) y) |
| ✓ | accuracy | 95.5% | (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) |
| 89.0ms | 256× | 0 | valid |
Compiled 252 to 37 computations (85.3% saved)
ival-mult: 22.0ms (44.3% of total)ival-div: 11.0ms (22.1% of total)ival-add: 7.0ms (14.1% of total)const: 6.0ms (12.1% of total)ival-cosh: 3.0ms (6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z)> |
#<alt (*.f64 (/.f64 (cosh.f64 x) x) y)> |
#<alt (/.f64 (cosh.f64 x) x)> |
#<alt (cosh.f64 x)> |
#<alt (/.f64 y (*.f64 x z))> |
#<alt (*.f64 x z)> |
#<alt (/.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)) z)> |
#<alt (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x))> |
#<alt (*.f64 x #s(literal 1/2 binary64))> |
#<alt (/.f64 y x)> |
#<alt (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y x))> |
#<alt (/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) z)> |
#<alt (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))> |
#<alt (*.f64 x x)> |
#<alt (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 y x))> |
#<alt (/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 y x)) z)> |
#<alt (fma.f64 x (*.f64 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))> |
#<alt (*.f64 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)))> |
#<alt (*.f64 x #s(literal 1/24 binary64))> |
#<alt (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))> |
#<alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))> |
#<alt (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))> |
| Outputs |
|---|
#<alt (/ y (* x z))> |
#<alt (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)> |
#<alt (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)> |
#<alt (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z)))> |
#<alt (/ y x)> |
#<alt (/ (+ y (* 1/2 (* (pow x 2) y))) x)> |
#<alt (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)> |
#<alt (/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x)> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 (pow x 2))) x)> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) x)> |
#<alt (/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) x)> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x))> |
#<alt (* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ y (* x z))> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (* x z)> |
#<alt (/ (* y (+ (* 1/2 x) (/ 1 x))) z)> |
#<alt (/ (* y (+ (* 1/2 x) (/ 1 x))) z)> |
#<alt (/ (* y (+ (* 1/2 x) (/ 1 x))) z)> |
#<alt (/ (* y (+ (* 1/2 x) (/ 1 x))) z)> |
#<alt (/ (* y (+ (* 1/2 x) (/ 1 x))) z)> |
#<alt (/ (* y (+ (* 1/2 x) (/ 1 x))) z)> |
#<alt (/ (* y (+ (* 1/2 x) (/ 1 x))) z)> |
#<alt (/ (* y (+ (* 1/2 x) (/ 1 x))) z)> |
#<alt (* -1 (/ (* y (- (* -1/2 x) (/ 1 x))) z))> |
#<alt (* -1 (/ (* y (- (* -1/2 x) (/ 1 x))) z))> |
#<alt (* -1 (/ (* y (- (* -1/2 x) (/ 1 x))) z))> |
#<alt (* -1 (/ (* y (- (* -1/2 x) (/ 1 x))) z))> |
#<alt (/ y (* x z))> |
#<alt (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)> |
#<alt (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)> |
#<alt (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)> |
#<alt (* 1/2 (/ (* x y) z))> |
#<alt (* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))> |
#<alt (* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))> |
#<alt (* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z))))> |
#<alt (* 1/2 (/ (* x y) z))> |
#<alt (* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z)))))> |
#<alt (* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z)))))> |
#<alt (* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z)))))> |
#<alt (/ (+ (* 1/2 (* x y)) (/ y x)) z)> |
#<alt (/ (+ (* 1/2 (* x y)) (/ y x)) z)> |
#<alt (/ (+ (* 1/2 (* x y)) (/ y x)) z)> |
#<alt (/ (+ (* 1/2 (* x y)) (/ y x)) z)> |
#<alt (/ (+ (* 1/2 (* x y)) (/ y x)) z)> |
#<alt (/ (+ (* 1/2 (* x y)) (/ y x)) z)> |
#<alt (/ (+ (* 1/2 (* x y)) (/ y x)) z)> |
#<alt (/ (+ (* 1/2 (* x y)) (/ y x)) z)> |
#<alt (/ (+ (* 1/2 (* x y)) (/ y x)) z)> |
#<alt (/ (+ (* 1/2 (* x y)) (/ y x)) z)> |
#<alt (/ (+ (* 1/2 (* x y)) (/ y x)) z)> |
#<alt (/ (+ (* 1/2 (* x y)) (/ y x)) z)> |
#<alt (* y (+ (* 1/2 x) (/ 1 x)))> |
#<alt (* y (+ (* 1/2 x) (/ 1 x)))> |
#<alt (* y (+ (* 1/2 x) (/ 1 x)))> |
#<alt (* y (+ (* 1/2 x) (/ 1 x)))> |
#<alt (* y (+ (* 1/2 x) (/ 1 x)))> |
#<alt (* y (+ (* 1/2 x) (/ 1 x)))> |
#<alt (* y (+ (* 1/2 x) (/ 1 x)))> |
#<alt (* y (+ (* 1/2 x) (/ 1 x)))> |
#<alt (* -1 (* y (- (* -1/2 x) (/ 1 x))))> |
#<alt (* -1 (* y (- (* -1/2 x) (/ 1 x))))> |
#<alt (* -1 (* y (- (* -1/2 x) (/ 1 x))))> |
#<alt (* -1 (* y (- (* -1/2 x) (/ 1 x))))> |
#<alt (/ y x)> |
#<alt (/ (+ y (* 1/2 (* (pow x 2) y))) x)> |
#<alt (/ (+ y (* 1/2 (* (pow x 2) y))) x)> |
#<alt (/ (+ y (* 1/2 (* (pow x 2) y))) x)> |
#<alt (* 1/2 (* x y))> |
#<alt (* x (+ (* 1/2 y) (/ y (pow x 2))))> |
#<alt (* x (+ (* 1/2 y) (/ y (pow x 2))))> |
#<alt (* x (+ (* 1/2 y) (/ y (pow x 2))))> |
#<alt (* 1/2 (* x y))> |
#<alt (* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y))))> |
#<alt (* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y))))> |
#<alt (* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y))))> |
#<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 (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ (+ y (* 1/2 (* (pow x 2) y))) x)> |
#<alt (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)> |
#<alt (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)> |
#<alt (* 1/24 (* (pow x 3) y))> |
#<alt (* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2)))))> |
#<alt (* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4)))))> |
#<alt (* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4)))))> |
#<alt (* 1/24 (* (pow x 3) y))> |
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x)> |
#<alt (/ y (* x z))> |
#<alt (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)> |
#<alt (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)> |
#<alt (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)> |
#<alt (* 1/24 (/ (* (pow x 3) y) z))> |
#<alt (* (pow x 3) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z)))))> |
#<alt (* (pow x 3) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z)))))> |
#<alt (* (pow x 3) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z)))))> |
#<alt (* 1/24 (/ (* (pow x 3) y) z))> |
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ y (* (pow x 4) z))) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z))))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ y (* (pow x 4) z))) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z))))))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))> |
#<alt (* 1/24 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/24 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (/ y x)> |
#<alt (/ (+ y (* 1/2 (* (pow x 2) y))) x)> |
#<alt (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)> |
#<alt (/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x)> |
#<alt (* 1/720 (* (pow x 5) y))> |
#<alt (* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))> |
#<alt (* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))> |
#<alt (* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6))))))> |
#<alt (* 1/720 (* (pow x 5) y))> |
#<alt (* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))> |
#<alt (* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))> |
#<alt (* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)> |
#<alt (/ y (* x z))> |
#<alt (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)> |
#<alt (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)> |
#<alt (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)> |
#<alt (* 1/720 (/ (* (pow x 5) y) z))> |
#<alt (* (pow x 5) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z)))))> |
#<alt (* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (* 1/2 (/ y (* (pow x 4) z))))))> |
#<alt (* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (+ (* 1/2 (/ y (* (pow x 4) z))) (/ y (* (pow x 6) z))))))> |
#<alt (* 1/720 (/ (* (pow x 5) y) z))> |
#<alt (* -1 (* (pow x 5) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z)))))> |
#<alt (* -1 (* (pow x 5) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))))> |
#<alt (* -1 (* (pow x 5) (+ (* -1 (/ y (* (pow x 6) z))) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z)))))))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))> |
#<alt (* 1/720 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/720 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* 1/24 (pow x 2))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))> |
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))> |
#<alt (* 1/720 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* 1/720 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720)))> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/24 (pow x 2)))> |
#<alt (+ 1/2 (* 1/24 (pow x 2)))> |
#<alt (+ 1/2 (* 1/24 (pow x 2)))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt 1/24> |
#<alt (+ 1/24 (* 1/720 (pow x 2)))> |
#<alt (+ 1/24 (* 1/720 (pow x 2)))> |
#<alt (+ 1/24 (* 1/720 (pow x 2)))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/24 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))> |
#<alt (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))> |
#<alt (* 1/720 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* 1/720 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2))))))> |
114 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | y | @ | 0 | (/ (* (+ (* x (* x (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2))) 1) (/ y x)) z) |
| 21.0ms | y | @ | -inf | (/ (+ (* y (* x 1/2)) (/ y x)) z) |
| 8.0ms | y | @ | -inf | (/ (* (+ (* x (* x (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2))) 1) (/ y x)) z) |
| 4.0ms | z | @ | -inf | (/ y (* x z)) |
| 2.0ms | y | @ | 0 | (* (+ (* x (* x (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2))) 1) (/ y x)) |
| 1× | batch-egg-rewrite |
| 5 058× | lower-/.f32 |
| 5 044× | lower-/.f64 |
| 4 996× | lower-fma.f32 |
| 4 984× | lower-fma.f64 |
| 4 220× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 195 |
| 0 | 57 | 195 |
| 1 | 235 | 195 |
| 2 | 1849 | 195 |
| 0 | 8183 | 195 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) |
(*.f64 (/.f64 (cosh.f64 x) x) y) |
(/.f64 (cosh.f64 x) x) |
(cosh.f64 x) |
(/.f64 y (*.f64 x z)) |
(*.f64 x z) |
(/.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)) z) |
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)) |
(*.f64 x #s(literal 1/2 binary64)) |
(/.f64 y x) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) z) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
(*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 y x)) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 y x)) z) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/24 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 x (*.f64 (cosh.f64 x) y)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) x) (neg.f64 z))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) (neg.f64 x)) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) x) (neg.f64 z))) |
(neg.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) x) (neg.f64 z))) |
(neg.f64 (/.f64 (/.f64 (*.f64 (cosh.f64 x) y) (neg.f64 x)) z)) |
(/.f64 (/.f64 (cosh.f64 x) x) (/.f64 z y)) |
(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) x) z) |
(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) x) (*.f64 z #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 z (/.f64 x (*.f64 (cosh.f64 x) y)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 z (/.f64 x (*.f64 (cosh.f64 x) y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) (*.f64 (cosh.f64 x) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x (cosh.f64 x)) z) (*.f64 #s(literal 1 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (neg.f64 x)) (*.f64 (neg.f64 (cosh.f64 x)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) (*.f64 (*.f64 (cosh.f64 x) y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 (*.f64 (cosh.f64 x) y) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (cosh.f64 x) (/.f64 y z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (cosh.f64 x)) (/.f64 y z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (neg.f64 (cosh.f64 x)) (/.f64 y z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 (cosh.f64 x) y) z))) |
(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) (neg.f64 x)) (neg.f64 z)) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 (cosh.f64 x) y))) |
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) |
(/.f64 (/.f64 y z) (/.f64 x (cosh.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 z (/.f64 x (*.f64 (cosh.f64 x) y))))) |
(/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 x (cosh.f64 x)) z)) |
(/.f64 (*.f64 (neg.f64 (cosh.f64 x)) y) (*.f64 z (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 (cosh.f64 x) y) #s(literal 1 binary64)) (*.f64 x z)) |
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) y)) (*.f64 z (neg.f64 x))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (cosh.f64 x) y) (neg.f64 x))) (neg.f64 (neg.f64 z))) |
(/.f64 (*.f64 (/.f64 (*.f64 (cosh.f64 x) y) x) #s(literal 1 binary64)) z) |
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y z)) x) |
(/.f64 (*.f64 (neg.f64 (cosh.f64 x)) (/.f64 y z)) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) x) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) y)) (neg.f64 (*.f64 (/.f64 x (cosh.f64 x)) z))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (cosh.f64 x)) y)) (neg.f64 (*.f64 z (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (cosh.f64 x) y) #s(literal 1 binary64))) (*.f64 z (neg.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (cosh.f64 x) y) (neg.f64 x)))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (cosh.f64 x) y) x) #s(literal 1 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 (cosh.f64 x) (/.f64 y z))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (cosh.f64 x)) (/.f64 y z))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (cosh.f64 x) y) z)) (neg.f64 x)) |
(/.f64 (neg.f64 (/.f64 y z)) (neg.f64 (/.f64 x (cosh.f64 x)))) |
(pow.f64 (*.f64 z (/.f64 x (*.f64 (cosh.f64 x) y))) #s(literal -1 binary64)) |
(*.f64 (cosh.f64 x) (/.f64 y (*.f64 x z))) |
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z)) |
(*.f64 y (/.f64 (/.f64 (cosh.f64 x) x) z)) |
(*.f64 (/.f64 (*.f64 (cosh.f64 x) y) x) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z))) |
(*.f64 (/.f64 (*.f64 (cosh.f64 x) y) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 z))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 (cosh.f64 x) y) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))) |
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(*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)))))) |
| 1× | egg-herbie |
| 16 526× | lower-fma.f64 |
| 16 526× | lower-fma.f32 |
| 5 396× | lower-*.f64 |
| 5 396× | lower-*.f32 |
| 3 258× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 259 | 5306 |
| 1 | 875 | 5246 |
| 2 | 2907 | 5080 |
| 3 | 7043 | 5074 |
| 0 | 8476 | 4733 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(/ y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(/ 1 x) |
(/ (+ 1 (* 1/2 (pow x 2))) x) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) x) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) x) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (+ (exp x) (/ 1 (exp x))) x)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(* 1/2 (+ (exp x) (/ 1 (exp x)))) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(/ (* y (+ (* 1/2 x) (/ 1 x))) z) |
(/ (* y (+ (* 1/2 x) (/ 1 x))) z) |
(/ (* y (+ (* 1/2 x) (/ 1 x))) z) |
(/ (* y (+ (* 1/2 x) (/ 1 x))) z) |
(/ (* y (+ (* 1/2 x) (/ 1 x))) z) |
(/ (* y (+ (* 1/2 x) (/ 1 x))) z) |
(/ (* y (+ (* 1/2 x) (/ 1 x))) z) |
(/ (* y (+ (* 1/2 x) (/ 1 x))) z) |
(* -1 (/ (* y (- (* -1/2 x) (/ 1 x))) z)) |
(* -1 (/ (* y (- (* -1/2 x) (/ 1 x))) z)) |
(* -1 (/ (* y (- (* -1/2 x) (/ 1 x))) z)) |
(* -1 (/ (* y (- (* -1/2 x) (/ 1 x))) z)) |
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(* 1/2 (/ (* x y) z)) |
(* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))) |
(* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))) |
(* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))) |
(* 1/2 (/ (* x y) z)) |
(* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))) |
(* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))) |
(* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))) |
(/ (+ (* 1/2 (* x y)) (/ y x)) z) |
(/ (+ (* 1/2 (* x y)) (/ y x)) z) |
(/ (+ (* 1/2 (* x y)) (/ y x)) z) |
(/ (+ (* 1/2 (* x y)) (/ y x)) z) |
(/ (+ (* 1/2 (* x y)) (/ y x)) z) |
(/ (+ (* 1/2 (* x y)) (/ y x)) z) |
(/ (+ (* 1/2 (* x y)) (/ y x)) z) |
(/ (+ (* 1/2 (* x y)) (/ y x)) z) |
(/ (+ (* 1/2 (* x y)) (/ y x)) z) |
(/ (+ (* 1/2 (* x y)) (/ y x)) z) |
(/ (+ (* 1/2 (* x y)) (/ y x)) z) |
(/ (+ (* 1/2 (* x y)) (/ y x)) z) |
(* y (+ (* 1/2 x) (/ 1 x))) |
(* y (+ (* 1/2 x) (/ 1 x))) |
(* y (+ (* 1/2 x) (/ 1 x))) |
(* y (+ (* 1/2 x) (/ 1 x))) |
(* y (+ (* 1/2 x) (/ 1 x))) |
(* y (+ (* 1/2 x) (/ 1 x))) |
(* y (+ (* 1/2 x) (/ 1 x))) |
(* y (+ (* 1/2 x) (/ 1 x))) |
(* -1 (* y (- (* -1/2 x) (/ 1 x)))) |
(* -1 (* y (- (* -1/2 x) (/ 1 x)))) |
(* -1 (* y (- (* -1/2 x) (/ 1 x)))) |
(* -1 (* y (- (* -1/2 x) (/ 1 x)))) |
(/ y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(* 1/2 (* x y)) |
(* x (+ (* 1/2 y) (/ y (pow x 2)))) |
(* x (+ (* 1/2 y) (/ y (pow x 2)))) |
(* x (+ (* 1/2 y) (/ y (pow x 2)))) |
(* 1/2 (* x y)) |
(* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y)))) |
(* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y)))) |
(* -1 (* x (+ (* -1 (/ y (pow x 2))) (* -1/2 y)))) |
(* 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) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(* 1/24 (* (pow x 3) y)) |
(* (pow x 3) (+ (* 1/24 y) (* 1/2 (/ y (pow x 2))))) |
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* (pow x 3) (+ (* 1/24 y) (+ (* 1/2 (/ y (pow x 2))) (/ y (pow x 4))))) |
(* 1/24 (* (pow x 3) y)) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (pow x 4))) (+ (* -1/2 (/ y (pow x 2))) (* -1/24 y))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) x) |
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* (pow x 3) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z))))) |
(* (pow x 3) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z))))) |
(* (pow x 3) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z))))) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (* (pow x 4) z))) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z)))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (* (pow x 4) z))) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z)))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
(* 1/720 (* (pow x 5) y)) |
(* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))) |
(* 1/720 (* (pow x 5) y)) |
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))) |
(* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z))))) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (* 1/2 (/ y (* (pow x 4) z)))))) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (+ (* 1/2 (/ y (* (pow x 4) z))) (/ y (* (pow x 6) z)))))) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z)))))) |
(* -1 (* (pow x 5) (+ (* -1 (/ y (* (pow x 6) z))) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/24 (pow x 2)))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))) |
(* 1/720 (pow x 5)) |
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 5) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* 1/720 (pow x 5)) |
(* (pow x 5) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/24 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/720))) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* 1/24 (pow x 2))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
1/24 |
(+ 1/24 (* 1/720 (pow x 2))) |
(+ 1/24 (* 1/720 (pow x 2))) |
(+ 1/24 (* 1/720 (pow x 2))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
| Outputs |
|---|
(/ y (* x z)) |
(/.f64 y (*.f64 x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (/.f64 y z) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (/.f64 y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 y (*.f64 x x)) z) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y z))) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x z)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x z)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x z)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x z)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x z)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x z)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x z)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x z)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x z)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x z)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x z)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x z)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x z)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x z)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x z)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x z)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x z)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x z)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x z)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x z)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x z)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x z)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x z)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x z)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x z)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x z)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x z)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x z)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x z)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x z)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x z)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) (* x z))) |
(*.f64 y (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 x z)) #s(literal 1/2 binary64))) |
(/ y x) |
(/.f64 y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/.f64 (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) x) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
(/.f64 (fma.f64 (*.f64 y (*.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)) y) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) x) |
(* 1/2 (/ (* y (+ (exp x) (/ 1 (exp x)))) x)) |
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(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
1/24 |
#s(literal 1/24 binary64) |
(+ 1/24 (* 1/720 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(+ 1/24 (* 1/720 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(+ 1/24 (* 1/720 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
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 (* 1/720 (pow x 2))))) |
(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)) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) |
(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)) |
(* 1/720 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* 1/720 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/720 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
Compiled 50 539 to 3 894 computations (92.3% saved)
35 alts after pruning (32 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 664 | 28 | 1 692 |
| Fresh | 6 | 4 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 672 | 35 | 1 707 |
| Status | Accuracy | Program |
|---|---|---|
| 76.7% | (/.f64 (fma.f64 (*.f64 y (*.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)) y) (*.f64 x z)) | |
| 74.6% | (/.f64 (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) (*.f64 x z)) | |
| 69.9% | (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x z) y)) | |
| ▶ | 67.4% | (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z)) |
| 76.7% | (/.f64 (fma.f64 x (*.f64 x (*.f64 y (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)))) y) (*.f64 x z)) | |
| 74.6% | (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)) | |
| 53.1% | (/.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) y) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)) z) | |
| 89.1% | (/.f64 (/.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) x) | |
| 52.4% | (/.f64 (/.f64 y z) x) | |
| 50.6% | (/.f64 (/.f64 y x) z) | |
| 74.0% | (/.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x #s(literal 1 binary64)) (/.f64 y x)) z) | |
| 73.7% | (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1 binary64)) (/.f64 y x)) z) | |
| 56.4% | (/.f64 (*.f64 (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) 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)) (/.f64 y x)) z) | |
| 52.2% | (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 y (*.f64 x z))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) | |
| 52.2% | (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) y) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 x z))) | |
| ✓ | 77.9% | (/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 y x)) z) |
| 76.3% | (/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z) | |
| 77.4% | (/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64)) (/.f64 y x)) z) | |
| ✓ | 95.5% | (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) |
| 50.6% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) z) | |
| ▶ | 90.8% | (/.f64 (*.f64 (*.f64 y (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))) (/.f64 #s(literal 1 binary64) x)) z) |
| 30.1% | (/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64)))) (/.f64 y x)) z) | |
| 81.6% | (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) | |
| 77.4% | (/.f64 (*.f64 y (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))) (*.f64 x z)) | |
| 75.0% | (/.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) | |
| 65.7% | (/.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) z) | |
| 22.5% | (/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) | |
| 40.3% | (/.f64 (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))) z) | |
| ✓ | 50.1% | (/.f64 y (*.f64 x z)) |
| 52.4% | (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y z))) | |
| ▶ | 75.1% | (*.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z) (/.f64 y x)) |
| 52.5% | (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)) | |
| 50.6% | (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) | |
| ▶ | 49.5% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) |
| ▶ | 77.9% | (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 y x) (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)))) |
Compiled 1 368 to 779 computations (43.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 y x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) z) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 y x) (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))) |
| ✓ | cost-diff | 384 | (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 y x) (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)))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z) |
| ✓ | cost-diff | 384 | (*.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z) (/.f64 y x)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z)) |
| ✓ | cost-diff | 0 | (*.f64 x z) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x z)) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) |
| ✓ | cost-diff | 0 | (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)) |
| ✓ | cost-diff | 0 | (*.f64 y (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))) |
| ✓ | cost-diff | 64 | (/.f64 (*.f64 (*.f64 y (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))) (/.f64 #s(literal 1 binary64) x)) z) |
| ✓ | cost-diff | 640 | (*.f64 (*.f64 y (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))) (/.f64 #s(literal 1 binary64) x)) |
| 11 508× | lower-fma.f32 |
| 11 496× | lower-fma.f64 |
| 3 236× | lower-*.f32 |
| 3 214× | lower-*.f64 |
| 2 754× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 325 |
| 0 | 61 | 327 |
| 1 | 143 | 317 |
| 2 | 416 | 317 |
| 3 | 1436 | 312 |
| 4 | 4287 | 311 |
| 5 | 7554 | 311 |
| 0 | 8055 | 305 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 y (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))) (/.f64 #s(literal 1 binary64) x)) z) |
(*.f64 (*.f64 y (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))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 y (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))) |
y |
(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)) |
(*.f64 x 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)) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(*.f64 x #s(literal 1/720 binary64)) |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) x) |
z |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 x z)) |
#s(literal 1 binary64) |
(*.f64 x z) |
x |
z |
y |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z)) |
(fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) |
y |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
x |
(*.f64 x z) |
z |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z) (/.f64 y x)) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
z |
(/.f64 y x) |
y |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 y x) (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)))) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(*.f64 (/.f64 y x) (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))) |
(/.f64 y x) |
y |
x |
(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)) |
(*.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)) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(*.f64 x #s(literal 1/720 binary64)) |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 y (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))) (/.f64 #s(literal 1 binary64) x)) z) |
(/.f64 (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y) (*.f64 x z)) |
(*.f64 (*.f64 y (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))) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (/.f64 y x)) |
(*.f64 y (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))) |
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y) |
y |
(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)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(*.f64 x #s(literal 1/720 binary64)) |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) x) |
z |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) |
(/.f64 y (*.f64 x z)) |
(/.f64 #s(literal 1 binary64) (*.f64 x z)) |
#s(literal 1 binary64) |
(*.f64 x z) |
x |
z |
y |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z)) |
(/.f64 (fma.f64 y (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) (*.f64 x z)) |
(fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) |
(fma.f64 y (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) |
y |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
x |
(*.f64 x z) |
z |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z) (/.f64 y x)) |
(/.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) |
(*.f64 x #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
z |
(/.f64 y x) |
y |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 y x) (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)))) |
(/.f64 (fma.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y) (*.f64 x z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(*.f64 (/.f64 y x) (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))) |
(fma.f64 y (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) (/.f64 y x)) |
(/.f64 y x) |
y |
x |
(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)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
(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)) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
(*.f64 x #s(literal 1/720 binary64)) |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
| ✓ | accuracy | 99.6% | (*.f64 x #s(literal 1/720 binary64)) |
| ✓ | accuracy | 92.5% | (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 y x) (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)))) |
| ✓ | accuracy | 86.0% | (*.f64 (/.f64 y x) (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))) |
| ✓ | accuracy | 99.9% | (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/24 binary64)) |
| ✓ | accuracy | 97.8% | (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z) |
| ✓ | accuracy | 81.7% | (*.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z) (/.f64 y x)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
| ✓ | accuracy | 94.1% | (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) |
| ✓ | accuracy | 82.4% | (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z)) |
| ✓ | accuracy | 100.0% | (*.f64 x z) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal 1 binary64) (*.f64 x z)) |
| ✓ | accuracy | 91.7% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) |
| ✓ | accuracy | 99.6% | (*.f64 x #s(literal 1/720 binary64)) |
| ✓ | accuracy | 98.0% | (*.f64 (*.f64 y (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))) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 97.8% | (*.f64 y (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))) |
| ✓ | accuracy | 92.6% | (/.f64 (*.f64 (*.f64 y (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))) (/.f64 #s(literal 1 binary64) x)) z) |
| 78.0ms | 256× | 0 | valid |
Compiled 363 to 39 computations (89.3% saved)
ival-mult: 24.0ms (46.8% of total)ival-div: 12.0ms (23.4% of total)ival-add: 8.0ms (15.6% of total)const: 6.0ms (11.7% 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 (*.f64 y (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))) (/.f64 #s(literal 1 binary64) x))> |
#<alt (/.f64 (*.f64 (*.f64 y (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))) (/.f64 #s(literal 1 binary64) x)) z)> |
#<alt (*.f64 y (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)))> |
#<alt (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))> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y)> |
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x z))> |
#<alt (*.f64 x z)> |
#<alt (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z))> |
#<alt (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y)> |
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x x))> |
#<alt (*.f64 x x)> |
#<alt (*.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z) (/.f64 y x))> |
#<alt (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z)> |
#<alt (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 y x) (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))))> |
#<alt (*.f64 (/.f64 y x) (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)))> |
#<alt (/.f64 #s(literal 1 binary64) z)> |
#<alt (/.f64 y x)> |
#<alt (*.f64 x #s(literal 1/720 binary64))> |
#<alt (*.f64 x #s(literal 1/24 binary64))> |
#<alt (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))> |
#<alt (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))> |
| Outputs |
|---|
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)> |
#<alt (/ y x)> |
#<alt (/ (+ y (* 1/2 (* (pow x 2) y))) x)> |
#<alt (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)> |
#<alt (/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x)> |
#<alt (* 1/720 (* (pow x 5) y))> |
#<alt (* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))> |
#<alt (* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))> |
#<alt (* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6))))))> |
#<alt (* 1/720 (* (pow x 5) y))> |
#<alt (* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))> |
#<alt (* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))> |
#<alt (* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ y (* x z))> |
#<alt (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)> |
#<alt (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)> |
#<alt (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)> |
#<alt (* 1/720 (/ (* (pow x 5) y) z))> |
#<alt (* (pow x 5) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z)))))> |
#<alt (* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (* 1/2 (/ y (* (pow x 4) z))))))> |
#<alt (* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (+ (* 1/2 (/ y (* (pow x 4) z))) (/ y (* (pow x 6) z))))))> |
#<alt (* 1/720 (/ (* (pow x 5) y) z))> |
#<alt (* -1 (* (pow x 5) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z)))))> |
#<alt (* -1 (* (pow x 5) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))))> |
#<alt (* -1 (* (pow x 5) (+ (* -1 (/ y (* (pow x 6) z))) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z)))))))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))> |
#<alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))> |
#<alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))> |
#<alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))> |
#<alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))> |
#<alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))> |
#<alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))> |
#<alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))> |
#<alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))> |
#<alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))> |
#<alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))> |
#<alt (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))))> |
#<alt y> |
#<alt (+ y (* 1/2 (* (pow x 2) y)))> |
#<alt (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y))))> |
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#<alt 1> |
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#<alt (/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z))> |
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#<alt (/ 1 z)> |
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#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)> |
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#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x)> |
#<alt (/ y x)> |
#<alt (/ (+ y (* 1/2 (* (pow x 2) y))) x)> |
#<alt (/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x)> |
#<alt (/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x)> |
#<alt (* 1/720 (* (pow x 5) y))> |
#<alt (* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2)))))> |
#<alt (* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4))))))> |
#<alt (* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6))))))> |
#<alt (* 1/720 (* (pow x 5) y))> |
#<alt (* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))> |
#<alt (* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))> |
#<alt (* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))))> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (/ y x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/720 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/24 (pow x 2)))> |
#<alt (+ 1/2 (* 1/24 (pow x 2)))> |
#<alt (+ 1/2 (* 1/24 (pow x 2)))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt 1/24> |
#<alt (+ 1/24 (* 1/720 (pow x 2)))> |
#<alt (+ 1/24 (* 1/720 (pow x 2)))> |
#<alt (+ 1/24 (* 1/720 (pow x 2)))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
120 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | inf | (* (/ 1 z) (* (/ y x) (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) 1))) |
| 3.0ms | x | @ | -inf | (* (* y (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) 1)) (/ 1 x)) |
| 3.0ms | z | @ | 0 | (* x z) |
| 2.0ms | z | @ | 0 | (* (/ (+ (* (* x x) (+ (* x (* x 1/24)) 1/2)) 1) z) (/ y x)) |
| 1.0ms | z | @ | -inf | (/ (* (* y (+ (* (* x x) (+ (* (* x x) (+ (* x (* x 1/720)) 1/24)) 1/2)) 1)) (/ 1 x)) z) |
| 1× | batch-egg-rewrite |
| 4 756× | lower-/.f32 |
| 4 742× | lower-/.f64 |
| 4 590× | lower-*.f32 |
| 4 568× | lower-*.f64 |
| 4 316× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 232 |
| 0 | 61 | 226 |
| 1 | 262 | 224 |
| 2 | 2056 | 224 |
| 0 | 8203 | 224 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 y (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))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (*.f64 y (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))) (/.f64 #s(literal 1 binary64) x)) z) |
(*.f64 y (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))) |
(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)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) |
(/.f64 #s(literal 1 binary64) (*.f64 x z)) |
(*.f64 x z) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z)) |
(fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z) (/.f64 y x)) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 y x) (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)))) |
(*.f64 (/.f64 y x) (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))) |
(/.f64 #s(literal 1 binary64) z) |
(/.f64 y x) |
(*.f64 x #s(literal 1/720 binary64)) |
(*.f64 x #s(literal 1/24 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) |
| Outputs |
|---|
(+.f64 (/.f64 y x) (*.f64 (/.f64 y x) (*.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))))) |
(+.f64 (*.f64 (/.f64 y x) (*.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)))) (/.f64 y x)) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y))) (/.f64 y x)) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (*.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))))) (/.f64 y x)) |
(+.f64 (*.f64 (*.f64 (/.f64 y x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (/.f64 y x)) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.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))) (*.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)))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 x y)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 x y))) |
(-.f64 (/.f64 (*.f64 (*.f64 (/.f64 y x) (*.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)))) (*.f64 (/.f64 y x) (*.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))))) (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y)) y) x)) (/.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y)) y) x))) |
(fma.f64 y (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 y x) (*.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))))) |
(fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) (*.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)))) (/.f64 y x)) |
(fma.f64 x (*.f64 (*.f64 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))) (/.f64 y x)) (/.f64 y x)) |
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (/.f64 y x)) (/.f64 y x)) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (/.f64 y x)) (/.f64 y x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 y x) (*.f64 (/.f64 y x) (*.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))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (*.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)))) (/.f64 y x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) y (*.f64 (/.f64 y x) (*.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))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y)) (/.f64 y x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 (/.f64 y x) (*.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))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y #s(literal 1 binary64)) (*.f64 (/.f64 y x) (*.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))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.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))) (/.f64 #s(literal 1 binary64) y)) (/.f64 y x)) |
(fma.f64 (/.f64 y x) #s(literal 1 binary64) (*.f64 (/.f64 y x) (*.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))))) |
(fma.f64 (/.f64 y x) (*.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))) (/.f64 y x)) |
(fma.f64 (/.f64 y x) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 y x)) |
(fma.f64 (*.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))) (/.f64 y x) (/.f64 y x)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x) (*.f64 (/.f64 y x) (*.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))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x y))) (*.f64 (/.f64 y x) (*.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))))) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 y x) (*.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))))) |
(fma.f64 (*.f64 (/.f64 y x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64) (/.f64 y x)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y)) (/.f64 #s(literal 1 binary64) x) (/.f64 y x)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 y x) (*.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))))) |
(fma.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 y x) (*.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))))) |
(fma.f64 (neg.f64 (neg.f64 y)) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 y x) (*.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))))) |
(fma.f64 (*.f64 (/.f64 y x) x) (*.f64 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))) (/.f64 y x)) |
(fma.f64 (*.f64 (/.f64 y x) (*.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)) (/.f64 y x)) |
(fma.f64 (*.f64 (/.f64 y 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))) (*.f64 x x) (/.f64 y x)) |
(fma.f64 (*.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 y x) (*.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))))) |
(fma.f64 (*.f64 (*.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))) (neg.f64 y)) (/.f64 #s(literal -1 binary64) x) (/.f64 y x)) |
(fma.f64 (*.f64 (neg.f64 y) (*.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)))) (/.f64 #s(literal -1 binary64) x) (/.f64 y x)) |
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 y x) (*.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))))) |
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (*.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))) x) (/.f64 y x)) |
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 y x) (*.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))))) |
(fma.f64 (/.f64 x x) (/.f64 (*.f64 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))) (/.f64 #s(literal 1 binary64) y)) (/.f64 y x)) |
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(fma.f64 (/.f64 x x) (/.f64 (*.f64 (*.f64 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))) y) #s(literal 1 binary64)) (/.f64 y x)) |
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(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal 1/17280 binary64))))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))) |
(*.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
| 1× | egg-herbie |
| 16 836× | lower-fma.f64 |
| 16 836× | lower-fma.f32 |
| 5 280× | lower-*.f64 |
| 5 280× | lower-*.f32 |
| 2 992× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 234 | 6002 |
| 1 | 781 | 5996 |
| 2 | 2570 | 5750 |
| 3 | 6422 | 5736 |
| 0 | 8243 | 5253 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
(* 1/720 (* (pow x 5) y)) |
(* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))) |
(* 1/720 (* (pow x 5) y)) |
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))) |
(* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z))))) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (* 1/2 (/ y (* (pow x 4) z)))))) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (+ (* 1/2 (/ y (* (pow x 4) z))) (/ y (* (pow x 6) z)))))) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z)))))) |
(* -1 (* (pow x 5) (+ (* -1 (/ y (* (pow x 6) z))) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
y |
(+ y (* 1/2 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) |
(+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) |
(* 1/720 (* (pow x 6) y)) |
(* (pow x 6) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))) |
(* 1/720 (* (pow x 6) y)) |
(* (pow x 6) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/720 (+ (/ 1/2 (pow x 4)) (+ (* 1/24 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
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(/ y (* x z)) |
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(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
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(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
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(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ y (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)) |
(/ (* y (+ 1 (* 1/2 (pow x 2)))) (* x z)) |
(* -1 (/ (* y (- (* -1/2 (pow x 2)) 1)) (* x z))) |
(* -1 (/ (* y (- (* -1/2 (pow x 2)) 1)) (* x z))) |
(* -1 (/ (* y (- (* -1/2 (pow x 2)) 1)) (* x z))) |
(* -1 (/ (* y (- (* -1/2 (pow x 2)) 1)) (* x z))) |
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(* 1/2 (/ (* x y) z)) |
(* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))) |
(* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))) |
(* x (+ (* 1/2 (/ y z)) (/ y (* (pow x 2) z)))) |
(* 1/2 (/ (* x y) z)) |
(* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))) |
(* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))) |
(* -1 (* x (+ (* -1 (/ y (* (pow x 2) z))) (* -1/2 (/ y z))))) |
(/ (+ y (* 1/2 (* (pow x 2) y))) (* x z)) |
(/ (+ y (* 1/2 (* (pow x 2) y))) (* x z)) |
(/ (+ y (* 1/2 (* (pow x 2) y))) (* x z)) |
(/ (+ y (* 1/2 (* (pow x 2) y))) (* x z)) |
(/ (+ y (* 1/2 (* (pow x 2) y))) (* x z)) |
(/ (+ y (* 1/2 (* (pow x 2) y))) (* x z)) |
(/ (+ y (* 1/2 (* (pow x 2) y))) (* x z)) |
(/ (+ y (* 1/2 (* (pow x 2) y))) (* x z)) |
(/ (+ y (* 1/2 (* (pow x 2) y))) (* x z)) |
(/ (+ y (* 1/2 (* (pow x 2) y))) (* x z)) |
(/ (+ y (* 1/2 (* (pow x 2) y))) (* x z)) |
(/ (+ y (* 1/2 (* (pow x 2) y))) (* x z)) |
(* y (+ 1 (* 1/2 (pow x 2)))) |
(* y (+ 1 (* 1/2 (pow x 2)))) |
(* y (+ 1 (* 1/2 (pow x 2)))) |
(* y (+ 1 (* 1/2 (pow x 2)))) |
(* y (+ 1 (* 1/2 (pow x 2)))) |
(* y (+ 1 (* 1/2 (pow x 2)))) |
(* y (+ 1 (* 1/2 (pow x 2)))) |
(* y (+ 1 (* 1/2 (pow x 2)))) |
(* -1 (* y (- (* -1/2 (pow x 2)) 1))) |
(* -1 (* y (- (* -1/2 (pow x 2)) 1))) |
(* -1 (* y (- (* -1/2 (pow x 2)) 1))) |
(* -1 (* y (- (* -1/2 (pow x 2)) 1))) |
y |
(+ y (* 1/2 (* (pow x 2) y))) |
(+ y (* 1/2 (* (pow x 2) y))) |
(+ y (* 1/2 (* (pow x 2) y))) |
(* 1/2 (* (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 y) (/ y (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 y) (/ y (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 y) (/ y (pow x 2)))) |
(* 1/2 (* (pow x 2) y)) |
(* (pow x 2) (+ (* 1/2 y) (/ y (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 y) (/ y (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 y) (/ y (pow x 2)))) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (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) |
(pow x 2) |
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* (pow x 3) (+ (* 1/24 (/ y z)) (* 1/2 (/ y (* (pow x 2) z))))) |
(* (pow x 3) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z))))) |
(* (pow x 3) (+ (* 1/24 (/ y z)) (+ (* 1/2 (/ y (* (pow x 2) z))) (/ y (* (pow x 4) z))))) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (* (pow x 4) z))) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z)))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ y (* (pow x 4) z))) (+ (* -1/2 (/ y (* (pow x 2) z))) (* -1/24 (/ y z)))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))) (* x z)) |
(/ 1 z) |
(+ (* 1/2 (/ (pow x 2) z)) (/ 1 z)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (pow x 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(* 1/24 (/ (pow x 4) z)) |
(* (pow x 4) (+ (* 1/24 (/ 1 z)) (* 1/2 (/ 1 (* (pow x 2) z))))) |
(* (pow x 4) (+ (/ 1/2 (* (pow x 2) z)) (+ (* 1/24 (/ 1 z)) (/ 1 (* (pow x 4) z))))) |
(* (pow x 4) (+ (/ 1/2 (* (pow x 2) z)) (+ (* 1/24 (/ 1 z)) (/ 1 (* (pow x 4) z))))) |
(* 1/24 (/ (pow x 4) z)) |
(* (pow x 4) (+ (* 1/24 (/ 1 z)) (* 1/2 (/ 1 (* (pow x 2) z))))) |
(* (pow x 4) (+ (/ 1/2 (* (pow x 2) z)) (+ (* 1/24 (/ 1 z)) (/ 1 (* (pow x 4) z))))) |
(* (pow x 4) (+ (/ 1/2 (* (pow x 2) z)) (+ (* 1/24 (/ 1 z)) (/ 1 (* (pow x 4) z))))) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
(/ (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) z) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2))))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z))))) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (* 1/2 (/ y (* (pow x 4) z)))))) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (+ (* 1/2 (/ y (* (pow x 4) z))) (/ y (* (pow x 6) z)))))) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z)))))) |
(* -1 (* (pow x 5) (+ (* -1 (/ y (* (pow x 6) z))) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/ y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
(* 1/720 (* (pow x 5) y)) |
(* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))) |
(* 1/720 (* (pow x 5) y)) |
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))) |
(* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/720 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* 1/24 (pow x 2))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
1/24 |
(+ 1/24 (* 1/720 (pow x 2))) |
(+ 1/24 (* 1/720 (pow x 2))) |
(+ 1/24 (* 1/720 (pow x 2))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
| Outputs |
|---|
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y) x) |
(/ y x) |
(/.f64 y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/.f64 (fma.f64 y (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/.f64 (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) x) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y) x) |
(* 1/720 (* (pow x 5) y)) |
(*.f64 #s(literal 1/720 binary64) (*.f64 y (pow.f64 x #s(literal 5 binary64)))) |
(* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))) |
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 y (pow.f64 x #s(literal 6 binary64)))))) |
(* 1/720 (* (pow x 5) y)) |
(*.f64 #s(literal 1/720 binary64) (*.f64 y (pow.f64 x #s(literal 5 binary64)))) |
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 y (pow.f64 x #s(literal 6 binary64)))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y) (*.f64 x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y) (*.f64 x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y) (*.f64 x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y) (*.f64 x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y) (*.f64 x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y) (*.f64 x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y) (*.f64 x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y) (*.f64 x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y) (*.f64 x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y) (*.f64 x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y) (*.f64 x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y) (*.f64 x z)) |
(/ y (* x z)) |
(/.f64 y (*.f64 x z)) |
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(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y) x) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y) x) |
(/ y x) |
(/.f64 y x) |
(/ (+ y (* 1/2 (* (pow x 2) y))) x) |
(/.f64 (fma.f64 y (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) x) |
(/ (+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) x) |
(/.f64 (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) x) |
(/ (+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y) x) |
(* 1/720 (* (pow x 5) y)) |
(*.f64 #s(literal 1/720 binary64) (*.f64 y (pow.f64 x #s(literal 5 binary64)))) |
(* (pow x 5) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))) |
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(* (pow x 5) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 y (pow.f64 x #s(literal 6 binary64)))))) |
(* 1/720 (* (pow x 5) y)) |
(*.f64 #s(literal 1/720 binary64) (*.f64 y (pow.f64 x #s(literal 5 binary64)))) |
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (+ (* -1/2 (/ y (pow x 4))) (+ (* -1/24 (/ y (pow x 2))) (* -1/720 y)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 y (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 y (pow.f64 x #s(literal 6 binary64)))))) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/720 x) |
(*.f64 x #s(literal 1/720 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/24 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/24 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/24 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/24 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
1/24 |
#s(literal 1/24 binary64) |
(+ 1/24 (* 1/720 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(+ 1/24 (* 1/720 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(+ 1/24 (* 1/720 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
Compiled 77 009 to 4 249 computations (94.5% saved)
38 alts after pruning (31 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 379 | 12 | 2 391 |
| Fresh | 8 | 19 | 27 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 2 388 | 38 | 2 426 |
| Status | Accuracy | Program |
|---|---|---|
| 76.7% | (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y) y) (*.f64 x z)) | |
| 74.6% | (/.f64 (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) (*.f64 x z)) | |
| ✓ | 67.4% | (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z)) |
| 76.7% | (/.f64 (fma.f64 x (*.f64 x (*.f64 y (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)))) y) (*.f64 x z)) | |
| 74.6% | (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)) | |
| ▶ | 90.4% | (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y) y) z) x) |
| 52.0% | (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y)) x (*.f64 x y)) (*.f64 x x)) z) | |
| 48.5% | (/.f64 (/.f64 (fma.f64 (*.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))) (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 x y) (/.f64 x y))) z) | |
| 43.9% | (/.f64 (/.f64 (*.f64 (fma.f64 y (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) (-.f64 (*.f64 y (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) y)) (-.f64 (*.f64 y (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) y)) (*.f64 x z)) | |
| 53.1% | (/.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) y) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)) z) | |
| 89.1% | (/.f64 (/.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) x) | |
| 52.4% | (/.f64 (/.f64 y z) x) | |
| 50.6% | (/.f64 (/.f64 y x) z) | |
| 74.0% | (/.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x #s(literal 1 binary64)) (/.f64 y x)) z) | |
| 52.2% | (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 y (*.f64 x z))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) | |
| 52.2% | (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) y) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 x z))) | |
| ✓ | 77.9% | (/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 y x)) z) |
| 76.3% | (/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z) | |
| ▶ | 77.4% | (/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64)) (/.f64 y x)) z) |
| ✓ | 95.5% | (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) |
| 52.4% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x) | |
| ✓ | 90.8% | (/.f64 (*.f64 (*.f64 y (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))) (/.f64 #s(literal 1 binary64) x)) z) |
| 81.6% | (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) | |
| 77.4% | (/.f64 (*.f64 y (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))) (*.f64 x z)) | |
| 75.0% | (/.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) | |
| 65.7% | (/.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) z) | |
| ▶ | 22.5% | (/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
| 40.3% | (/.f64 (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))) z) | |
| ▶ | 40.3% | (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) z) |
| 87.5% | (/.f64 y (*.f64 (/.f64 z (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)) | |
| ✓ | 50.1% | (/.f64 y (*.f64 x z)) |
| 50.9% | (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (/.f64 x y))) | |
| 68.6% | (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) (/.f64 y x)) | |
| 49.5% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y) | |
| ▶ | 31.2% | (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) z) (/.f64 y x)) |
| 52.5% | (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)) | |
| ✓ | 49.5% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) |
| ✓ | 77.9% | (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 y x) (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)))) |
Compiled 1 427 to 793 computations (44.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 64 | (/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64)) (/.f64 y x)) z) |
| ✓ | cost-diff | 320 | (*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64)) (/.f64 y x)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) z) |
| ✓ | cost-diff | 1024 | (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) z) (/.f64 y x)) |
| ✓ | cost-diff | 0 | (*.f64 y (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 y (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) z) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 y (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
| ✓ | cost-diff | 0 | (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)) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y) y) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y) y) z) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y) y) z) x) |
| 29 446× | lower-fma.f32 |
| 29 438× | lower-fma.f64 |
| 5 864× | lower-*.f32 |
| 5 832× | lower-*.f64 |
| 3 388× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 301 |
| 0 | 64 | 297 |
| 1 | 132 | 268 |
| 2 | 314 | 268 |
| 3 | 808 | 248 |
| 4 | 1927 | 246 |
| 5 | 3261 | 246 |
| 6 | 4282 | 246 |
| 7 | 5433 | 246 |
| 8 | 6159 | 246 |
| 9 | 6339 | 246 |
| 10 | 6557 | 246 |
| 11 | 6815 | 246 |
| 12 | 7188 | 246 |
| 0 | 8638 | 243 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y) y) z) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y) y) z) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y) y) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 x x) y) |
y |
z |
(/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
(*.f64 y (*.f64 x #s(literal 1/2 binary64))) |
y |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
z |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) z) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) |
#s(literal 1/24 binary64) |
(*.f64 x (*.f64 y (*.f64 x x))) |
x |
(*.f64 y (*.f64 x x)) |
y |
(*.f64 x x) |
z |
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) z) (/.f64 y x)) |
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) z) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
x |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(*.f64 x x) |
#s(literal 1/24 binary64) |
z |
(/.f64 y x) |
y |
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64)) (/.f64 y x)) z) |
(*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64)) (/.f64 y x)) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64)) |
x |
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(*.f64 x x) |
#s(literal 1/720 binary64) |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
z |
| Outputs |
|---|
(/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y) y) z) x) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (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)) y) y) (*.f64 x z)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y) y) z) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (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)) y) y) z) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y) y) |
(fma.f64 (*.f64 x x) (*.f64 (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)) y) y) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
#s(literal 1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 x x) y) |
(*.f64 x (*.f64 x y)) |
y |
z |
(/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
(*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) y) z)) |
(*.f64 y (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) y)) |
y |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
z |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) z) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) z) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) |
#s(literal 1/24 binary64) |
(*.f64 x (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 x (*.f64 x x))) |
x |
(*.f64 y (*.f64 x x)) |
(*.f64 x (*.f64 x y)) |
y |
(*.f64 x x) |
z |
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) z) (/.f64 y x)) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) z) |
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) z) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
x |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(*.f64 x x) |
#s(literal 1/24 binary64) |
z |
(/.f64 y x) |
y |
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64)) (/.f64 y x)) z) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 y (*.f64 x (*.f64 x x)))))) y) (*.f64 x z)) |
(*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64)) (/.f64 y x)) |
(fma.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 y (*.f64 x (*.f64 x x))))) (/.f64 y x)) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
x |
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) |
(*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(*.f64 x x) |
#s(literal 1/720 binary64) |
#s(literal 1 binary64) |
(/.f64 y x) |
y |
z |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
| ✓ | accuracy | 92.5% | (/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64)) (/.f64 y x)) z) |
| ✓ | accuracy | 86.1% | (*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64)) (/.f64 y x)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
| ✓ | accuracy | 95.7% | (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) z) |
| ✓ | accuracy | 67.3% | (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) z) (/.f64 y x)) |
| ✓ | accuracy | 99.8% | (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 y (*.f64 x x))) |
| ✓ | accuracy | 91.8% | (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) z) |
| ✓ | accuracy | 85.1% | (*.f64 y (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (*.f64 y (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | accuracy | 92.7% | (/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
| ✓ | accuracy | 99.8% | (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
| ✓ | accuracy | 97.7% | (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y) y) z) |
| ✓ | accuracy | 93.6% | (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y) y) z) x) |
| ✓ | accuracy | 85.1% | (*.f64 (*.f64 x x) y) |
| 79.0ms | 256× | 0 | valid |
Compiled 318 to 39 computations (87.7% saved)
ival-mult: 31.0ms (56.6% of total)ival-div: 11.0ms (20.1% of total)const: 7.0ms (12.8% of total)ival-add: 4.0ms (7.3% 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 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y) y) z) x)> |
#<alt (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y) y) z)> |
#<alt (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y) y)> |
#<alt (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))> |
#<alt (/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z)> |
#<alt (*.f64 y (*.f64 x #s(literal 1/2 binary64)))> |
#<alt (*.f64 x #s(literal 1/2 binary64))> |
#<alt (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) z)> |
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y (*.f64 x x))))> |
#<alt (*.f64 x (*.f64 y (*.f64 x x)))> |
#<alt (*.f64 y (*.f64 x x))> |
#<alt (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) z) (/.f64 y x))> |
#<alt (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) z)> |
#<alt (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))> |
#<alt (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))> |
#<alt (*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64)) (/.f64 y x))> |
#<alt (/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64)) (/.f64 y x)) z)> |
#<alt (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64))> |
#<alt (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))> |
#<alt (*.f64 (*.f64 x x) y)> |
#<alt (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))> |
#<alt (*.f64 (*.f64 x x) #s(literal 1/24 binary64))> |
#<alt (*.f64 (*.f64 x x) #s(literal 1/720 binary64))> |
#<alt (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))> |
| Outputs |
|---|
#<alt (/ y (* x z))> |
#<alt (/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x)> |
#<alt (/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x)> |
#<alt (/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x)> |
#<alt (* 1/720 (/ (* (pow x 5) y) z))> |
#<alt (* (pow x 5) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z)))))> |
#<alt (* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (* 1/2 (/ y (* (pow x 4) z))))))> |
#<alt (* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (+ (* 1/2 (/ y (* (pow x 4) z))) (/ y (* (pow x 6) z))))))> |
#<alt (* 1/720 (/ (* (pow x 5) y) z))> |
#<alt (* -1 (* (pow x 5) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z)))))> |
#<alt (* -1 (* (pow x 5) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))))> |
#<alt (* -1 (* (pow x 5) (+ (* -1 (/ y (* (pow x 6) z))) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z)))))))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z))> |
#<alt (* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) (* x z)))> |
#<alt (* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) (* x z)))> |
#<alt (* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) (* x z)))> |
#<alt (* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) (* x z)))> |
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#<alt (* 1/24 (pow x 3))> |
#<alt (/ y x)> |
#<alt (/ (+ y (* 1/720 (* (pow x 6) y))) x)> |
#<alt (/ (+ y (* 1/720 (* (pow x 6) y))) x)> |
#<alt (/ (+ y (* 1/720 (* (pow x 6) y))) x)> |
#<alt (* 1/720 (* (pow x 5) y))> |
#<alt (* (pow x 5) (+ (* 1/720 y) (/ y (pow x 6))))> |
#<alt (* (pow x 5) (+ (* 1/720 y) (/ y (pow x 6))))> |
#<alt (* (pow x 5) (+ (* 1/720 y) (/ y (pow x 6))))> |
#<alt (* 1/720 (* (pow x 5) y))> |
#<alt (* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (* -1/720 y))))> |
#<alt (* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (* -1/720 y))))> |
#<alt (* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (* -1/720 y))))> |
#<alt (/ (* y (+ 1 (* 1/720 (pow x 6)))) x)> |
#<alt (/ (* y (+ 1 (* 1/720 (pow x 6)))) x)> |
#<alt (/ (* y (+ 1 (* 1/720 (pow x 6)))) x)> |
#<alt (/ (* y (+ 1 (* 1/720 (pow x 6)))) x)> |
#<alt (/ (* y (+ 1 (* 1/720 (pow x 6)))) x)> |
#<alt (/ (* y (+ 1 (* 1/720 (pow x 6)))) x)> |
#<alt (/ (* y (+ 1 (* 1/720 (pow x 6)))) x)> |
#<alt (/ (* y (+ 1 (* 1/720 (pow x 6)))) x)> |
#<alt (/ (* y (+ 1 (* 1/720 (pow x 6)))) x)> |
#<alt (/ (* y (+ 1 (* 1/720 (pow x 6)))) x)> |
#<alt (/ (* y (+ 1 (* 1/720 (pow x 6)))) x)> |
#<alt (/ (* y (+ 1 (* 1/720 (pow x 6)))) x)> |
#<alt (/ y (* x z))> |
#<alt (/ (+ (* 1/720 (/ (* (pow x 6) y) z)) (/ y z)) x)> |
#<alt (/ (+ (* 1/720 (/ (* (pow x 6) y) z)) (/ y z)) x)> |
#<alt (/ (+ (* 1/720 (/ (* (pow x 6) y) z)) (/ y z)) x)> |
#<alt (* 1/720 (/ (* (pow x 5) y) z))> |
#<alt (* (pow x 5) (+ (* 1/720 (/ y z)) (/ y (* (pow x 6) z))))> |
#<alt (* (pow x 5) (+ (* 1/720 (/ y z)) (/ y (* (pow x 6) z))))> |
#<alt (* (pow x 5) (+ (* 1/720 (/ y z)) (/ y (* (pow x 6) z))))> |
#<alt (* 1/720 (/ (* (pow x 5) y) z))> |
#<alt (* -1 (* (pow x 5) (+ (* -1 (/ y (* (pow x 6) z))) (* -1/720 (/ y z)))))> |
#<alt (* -1 (* (pow x 5) (+ (* -1 (/ y (* (pow x 6) z))) (* -1/720 (/ y z)))))> |
#<alt (* -1 (* (pow x 5) (+ (* -1 (/ y (* (pow x 6) z))) (* -1/720 (/ y z)))))> |
#<alt (/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z))> |
#<alt (/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z))> |
#<alt 1> |
#<alt (+ 1 (* 1/720 (pow x 6)))> |
#<alt (+ 1 (* 1/720 (pow x 6)))> |
#<alt (+ 1 (* 1/720 (pow x 6)))> |
#<alt (* 1/720 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/720 (/ 1 (pow x 6))))> |
#<alt (* (pow x 6) (+ 1/720 (/ 1 (pow x 6))))> |
#<alt (* (pow x 6) (+ 1/720 (/ 1 (pow x 6))))> |
#<alt (* 1/720 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/720 (/ 1 (pow x 6))))> |
#<alt (* (pow x 6) (+ 1/720 (/ 1 (pow x 6))))> |
#<alt (* (pow x 6) (+ 1/720 (/ 1 (pow x 6))))> |
#<alt (* 1/720 (pow x 5))> |
#<alt (* 1/720 (pow x 5))> |
#<alt (* 1/720 (pow x 5))> |
#<alt (* 1/720 (pow x 5))> |
#<alt (* 1/720 (pow x 5))> |
#<alt (* 1/720 (pow x 5))> |
#<alt (* 1/720 (pow x 5))> |
#<alt (* 1/720 (pow x 5))> |
#<alt (* 1/720 (pow x 5))> |
#<alt (* 1/720 (pow x 5))> |
#<alt (* 1/720 (pow x 5))> |
#<alt (* 1/720 (pow x 5))> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt 1/24> |
#<alt (+ 1/24 (* 1/720 (pow x 2)))> |
#<alt (+ 1/24 (* 1/720 (pow x 2)))> |
#<alt (+ 1/24 (* 1/720 (pow x 2)))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2)))))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 2))> |
#<alt (* 1/720 (pow x 3))> |
#<alt (* 1/720 (pow x 3))> |
#<alt (* 1/720 (pow x 3))> |
#<alt (* 1/720 (pow x 3))> |
#<alt (* 1/720 (pow x 3))> |
#<alt (* 1/720 (pow x 3))> |
#<alt (* 1/720 (pow x 3))> |
#<alt (* 1/720 (pow x 3))> |
#<alt (* 1/720 (pow x 3))> |
#<alt (* 1/720 (pow x 3))> |
#<alt (* 1/720 (pow x 3))> |
#<alt (* 1/720 (pow x 3))> |
132 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | 0 | (/ (* (+ (* x (* x (* x (* x (* (* x x) 1/720))))) 1) (/ y x)) z) |
| 3.0ms | y | @ | inf | (/ (/ (+ (* (+ (* (* x x) (+ (* (* x x) 1/720) 1/24)) 1/2) (* (* x x) y)) y) z) x) |
| 2.0ms | x | @ | -inf | (* x (* y (* x x))) |
| 2.0ms | x | @ | 0 | (/ (* 1/24 (* x (* y (* x x)))) z) |
| 2.0ms | z | @ | 0 | (/ (* x (* x (* (* x x) 1/24))) z) |
| 1× | batch-egg-rewrite |
| 5 924× | lower-fma.f32 |
| 5 916× | lower-fma.f64 |
| 4 858× | lower-*.f32 |
| 4 826× | lower-*.f64 |
| 3 926× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 251 |
| 0 | 64 | 251 |
| 1 | 229 | 224 |
| 2 | 1490 | 205 |
| 0 | 8291 | 205 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y) y) z) x) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y) y) z) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y) y) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
(*.f64 y (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) z) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) |
(*.f64 x (*.f64 y (*.f64 x x))) |
(*.f64 y (*.f64 x x)) |
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) z) (/.f64 y x)) |
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) z) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) |
(*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64)) (/.f64 y x)) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64)) (/.f64 y x)) z) |
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) |
(*.f64 (*.f64 x x) y) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x z) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) (*.f64 x z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (neg.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) (*.f64 x z)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) (neg.f64 y))) (*.f64 x z)) (/.f64 (/.f64 (*.f64 y y) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) (neg.f64 y))) (*.f64 x z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z (neg.f64 x))) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) (*.f64 z (neg.f64 x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) (*.f64 (*.f64 x z) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) (neg.f64 y)))) (/.f64 (*.f64 y y) (*.f64 (*.f64 x z) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) (neg.f64 y))))) |
(neg.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) (*.f64 x z)))) |
(neg.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) (*.f64 z (neg.f64 x)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) (*.f64 x z))))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) z)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y)) (*.f64 x z))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y)))) |
(neg.f64 (/.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) x)) z)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) (*.f64 x z)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) (neg.f64 (*.f64 z (neg.f64 x)))) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) z) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x z) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x z) (fma.f64 y (-.f64 y (*.f64 x (*.f64 (*.f64 x y) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))))) (fma.f64 (*.f64 x (*.f64 (*.f64 x y) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))) (*.f64 y (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y)) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x z) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) (neg.f64 y))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) (neg.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (neg.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) x))) |
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(/.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))))) (neg.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (fma.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) (*.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64))))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64)))))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal -1/24 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) |
(*.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/24 binary64)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/24 binary64)) x) |
(*.f64 x (*.f64 x #s(literal 1/720 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(*.f64 #s(literal 1/720 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/720 binary64)) x) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/720 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64))) |
(*.f64 #s(literal 1/720 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x #s(literal 1/720 binary64))) x) |
(*.f64 (*.f64 x #s(literal 1/720 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/720 binary64)) |
| 1× | egg-herbie |
| 21 860× | lower-fma.f64 |
| 21 860× | lower-fma.f32 |
| 5 578× | lower-*.f64 |
| 5 578× | lower-*.f32 |
| 2 830× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 188 | 5364 |
| 1 | 583 | 5310 |
| 2 | 1778 | 5164 |
| 3 | 5254 | 5152 |
| 0 | 8207 | 4863 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y (* x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z))))) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (* 1/2 (/ y (* (pow x 4) z)))))) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (+ (* 1/2 (/ y (* (pow x 4) z))) (/ y (* (pow x 6) z)))))) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z)))))) |
(* -1 (* (pow x 5) (+ (* -1 (/ y (* (pow x 6) z))) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) (* x z))) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) (* x z))) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) (* x z))) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) (* x z))) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/ y z) |
(+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) |
(+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) |
(+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) |
(* 1/720 (/ (* (pow x 6) y) z)) |
(* (pow x 6) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z))))) |
(* (pow x 6) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (* 1/2 (/ y (* (pow x 4) z)))))) |
(* (pow x 6) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (+ (* 1/2 (/ y (* (pow x 4) z))) (/ y (* (pow x 6) z)))))) |
(* 1/720 (/ (* (pow x 6) y) z)) |
(* (pow x 6) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z))))) |
(* (pow x 6) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (* 1/2 (/ y (* (pow x 4) z)))))) |
(* (pow x 6) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (+ (* 1/2 (/ y (* (pow x 4) z))) (/ y (* (pow x 6) z)))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) z)) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) z)) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) z)) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) z)) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) z) |
y |
(+ y (* 1/2 (* (pow x 2) y))) |
(+ y (* (pow x 2) (+ (* 1/24 (* (pow x 2) y)) (* 1/2 y)))) |
(+ y (* (pow x 2) (+ (* 1/2 y) (* (pow x 2) (+ (* 1/720 (* (pow x 2) y)) (* 1/24 y)))))) |
(* 1/720 (* (pow x 6) y)) |
(* (pow x 6) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))) |
(* 1/720 (* (pow x 6) y)) |
(* (pow x 6) (+ (* 1/720 y) (* 1/24 (/ y (pow x 2))))) |
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (* 1/2 (/ y (pow x 4)))))) |
(* (pow x 6) (+ (* 1/720 y) (+ (* 1/24 (/ y (pow x 2))) (+ (* 1/2 (/ y (pow x 4))) (/ y (pow x 6)))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1))) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1))) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1))) |
(* -1 (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1))) |
1/2 |
(+ 1/2 (* 1/24 (pow x 2))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) |
(+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* 1/720 (pow x 4)) |
(* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/720 (+ (/ 1/2 (pow x 4)) (* 1/24 (/ 1 (pow x 2)))))) |
(* 1/2 (/ (* x y) z)) |
(* 1/2 (/ (* x y) z)) |
(* 1/2 (/ (* x y) z)) |
(* 1/2 (/ (* x y) z)) |
(* 1/2 (/ (* x y) z)) |
(* 1/2 (/ (* x y) z)) |
(* 1/2 (/ (* x y) z)) |
(* 1/2 (/ (* x y) z)) |
(* 1/2 (/ (* x y) z)) |
(* 1/2 (/ (* x y) z)) |
(* 1/2 (/ (* x y) z)) |
(* 1/2 (/ (* x y) z)) |
(* 1/2 (/ (* x y) z)) |
(* 1/2 (/ (* x y) z)) |
(* 1/2 (/ (* x y) z)) |
(* 1/2 (/ (* x y) z)) |
(* 1/2 (/ (* x y) z)) |
(* 1/2 (/ (* x y) z)) |
(* 1/2 (/ (* x y) z)) |
(* 1/2 (/ (* x y) z)) |
(* 1/2 (/ (* x y) z)) |
(* 1/2 (/ (* x y) z)) |
(* 1/2 (/ (* x y) z)) |
(* 1/2 (/ (* x y) z)) |
(* 1/2 (/ (* x y) z)) |
(* 1/2 (/ (* x y) z)) |
(* 1/2 (/ (* x y) z)) |
(* 1/2 (/ (* x y) z)) |
(* 1/2 (/ (* x y) z)) |
(* 1/2 (/ (* x y) z)) |
(* 1/2 (/ (* x y) z)) |
(* 1/2 (/ (* x y) z)) |
(* 1/2 (/ (* x y) z)) |
(* 1/2 (/ (* x y) z)) |
(* 1/2 (/ (* x y) z)) |
(* 1/2 (/ (* x y) z)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 1/2 (* x y)) |
(* 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) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* 1/24 (* (pow x 3) y)) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 3) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (* (pow x 3) y) z)) |
(* 1/24 (/ (pow x 4) z)) |
(* 1/24 (/ (pow x 4) z)) |
(* 1/24 (/ (pow x 4) z)) |
(* 1/24 (/ (pow x 4) z)) |
(* 1/24 (/ (pow x 4) z)) |
(* 1/24 (/ (pow x 4) z)) |
(* 1/24 (/ (pow x 4) z)) |
(* 1/24 (/ (pow x 4) z)) |
(* 1/24 (/ (pow x 4) z)) |
(* 1/24 (/ (pow x 4) z)) |
(* 1/24 (/ (pow x 4) z)) |
(* 1/24 (/ (pow x 4) z)) |
(* 1/24 (/ (pow x 4) z)) |
(* 1/24 (/ (pow x 4) z)) |
(* 1/24 (/ (pow x 4) z)) |
(* 1/24 (/ (pow x 4) z)) |
(* 1/24 (/ (pow x 4) z)) |
(* 1/24 (/ (pow x 4) z)) |
(* 1/24 (/ (pow x 4) z)) |
(* 1/24 (/ (pow x 4) z)) |
(* 1/24 (/ (pow x 4) z)) |
(* 1/24 (/ (pow x 4) z)) |
(* 1/24 (/ (pow x 4) z)) |
(* 1/24 (/ (pow x 4) z)) |
(* 1/24 (pow x 4)) |
(* 1/24 (pow x 4)) |
(* 1/24 (pow x 4)) |
(* 1/24 (pow x 4)) |
(* 1/24 (pow x 4)) |
(* 1/24 (pow x 4)) |
(* 1/24 (pow x 4)) |
(* 1/24 (pow x 4)) |
(* 1/24 (pow x 4)) |
(* 1/24 (pow x 4)) |
(* 1/24 (pow x 4)) |
(* 1/24 (pow x 4)) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(* 1/24 (pow x 3)) |
(/ y x) |
(/ (+ y (* 1/720 (* (pow x 6) y))) x) |
(/ (+ y (* 1/720 (* (pow x 6) y))) x) |
(/ (+ y (* 1/720 (* (pow x 6) y))) x) |
(* 1/720 (* (pow x 5) y)) |
(* (pow x 5) (+ (* 1/720 y) (/ y (pow x 6)))) |
(* (pow x 5) (+ (* 1/720 y) (/ y (pow x 6)))) |
(* (pow x 5) (+ (* 1/720 y) (/ y (pow x 6)))) |
(* 1/720 (* (pow x 5) y)) |
(* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (* -1/720 y)))) |
(* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (* -1/720 y)))) |
(* -1 (* (pow x 5) (+ (* -1 (/ y (pow x 6))) (* -1/720 y)))) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) x) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) x) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) x) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) x) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) x) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) x) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) x) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) x) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) x) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) x) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) x) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) x) |
(/ y (* x z)) |
(/ (+ (* 1/720 (/ (* (pow x 6) y) z)) (/ y z)) x) |
(/ (+ (* 1/720 (/ (* (pow x 6) y) z)) (/ y z)) x) |
(/ (+ (* 1/720 (/ (* (pow x 6) y) z)) (/ y z)) x) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (/ y (* (pow x 6) z)))) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (/ y (* (pow x 6) z)))) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (/ y (* (pow x 6) z)))) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(* -1 (* (pow x 5) (+ (* -1 (/ y (* (pow x 6) z))) (* -1/720 (/ y z))))) |
(* -1 (* (pow x 5) (+ (* -1 (/ y (* (pow x 6) z))) (* -1/720 (/ y z))))) |
(* -1 (* (pow x 5) (+ (* -1 (/ y (* (pow x 6) z))) (* -1/720 (/ y z))))) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z)) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z)) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z)) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z)) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z)) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z)) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z)) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z)) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z)) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z)) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z)) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z)) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z)) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z)) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z)) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z)) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z)) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z)) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z)) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z)) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z)) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z)) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z)) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z)) |
1 |
(+ 1 (* 1/720 (pow x 6))) |
(+ 1 (* 1/720 (pow x 6))) |
(+ 1 (* 1/720 (pow x 6))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (/ 1 (pow x 6)))) |
(* (pow x 6) (+ 1/720 (/ 1 (pow x 6)))) |
(* (pow x 6) (+ 1/720 (/ 1 (pow x 6)))) |
(* 1/720 (pow x 6)) |
(* (pow x 6) (+ 1/720 (/ 1 (pow x 6)))) |
(* (pow x 6) (+ 1/720 (/ 1 (pow x 6)))) |
(* (pow x 6) (+ 1/720 (/ 1 (pow x 6)))) |
(* 1/720 (pow x 5)) |
(* 1/720 (pow x 5)) |
(* 1/720 (pow x 5)) |
(* 1/720 (pow x 5)) |
(* 1/720 (pow x 5)) |
(* 1/720 (pow x 5)) |
(* 1/720 (pow x 5)) |
(* 1/720 (pow x 5)) |
(* 1/720 (pow x 5)) |
(* 1/720 (pow x 5)) |
(* 1/720 (pow x 5)) |
(* 1/720 (pow x 5)) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
1/24 |
(+ 1/24 (* 1/720 (pow x 2))) |
(+ 1/24 (* 1/720 (pow x 2))) |
(+ 1/24 (* 1/720 (pow x 2))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/720 (pow x 2)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/24 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 2)) |
(* 1/720 (pow x 3)) |
(* 1/720 (pow x 3)) |
(* 1/720 (pow x 3)) |
(* 1/720 (pow x 3)) |
(* 1/720 (pow x 3)) |
(* 1/720 (pow x 3)) |
(* 1/720 (pow x 3)) |
(* 1/720 (pow x 3)) |
(* 1/720 (pow x 3)) |
(* 1/720 (pow x 3)) |
(* 1/720 (pow x 3)) |
(* 1/720 (pow x 3)) |
| Outputs |
|---|
(/ y (* x z)) |
(/.f64 y (*.f64 x z)) |
(/ (+ (* 1/2 (/ (* (pow x 2) y) z)) (/ y z)) x) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/24 (/ (* (pow x 2) y) z)) (* 1/2 (/ y z)))) (/ y z)) x) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (/.f64 y z) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) (/.f64 y z)) x) |
(/ (+ (* (pow x 2) (+ (* 1/2 (/ y z)) (* (pow x 2) (+ (* 1/720 (/ (* (pow x 2) y) z)) (* 1/24 (/ y z)))))) (/ y z)) x) |
(/.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y z) (*.f64 (*.f64 (/.f64 y z) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) x) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 5 binary64)))) z) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (* 1/24 (/ y (* (pow x 2) z))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (* 1/2 (/ y (* (pow x 4) z)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))))) |
(* (pow x 5) (+ (* 1/720 (/ y z)) (+ (* 1/24 (/ y (* (pow x 2) z))) (+ (* 1/2 (/ y (* (pow x 4) z))) (/ y (* (pow x 6) z)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal -1/720 binary64)))))) |
(* 1/720 (/ (* (pow x 5) y) z)) |
(/.f64 (*.f64 y (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 5 binary64)))) z) |
(* -1 (* (pow x 5) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))) |
(* -1 (* (pow x 5) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (/.f64 y z) (+.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x)))))) |
(* -1 (* (pow x 5) (+ (* -1 (/ y (* (pow x 6) z))) (+ (* -1/2 (/ y (* (pow x 4) z))) (+ (* -1/24 (/ y (* (pow x 2) z))) (* -1/720 (/ y z))))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (/.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) #s(literal -1/720 binary64)))))) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 y (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))) y) (*.f64 x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 y (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))) y) (*.f64 x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 y (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))) y) (*.f64 x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 y (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))) y) (*.f64 x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 y (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))) y) (*.f64 x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 y (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))) y) (*.f64 x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 y (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))) y) (*.f64 x z)) |
(/ (* y (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 y (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))) y) (*.f64 x z)) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) (* x z))) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 y (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))) y) (*.f64 x z)) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) (* x z))) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 y (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))) y) (*.f64 x z)) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) (* x z))) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 y (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))) y) (*.f64 x z)) |
(* -1 (/ (* y (- (* -1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2))))))) 1)) (* x z))) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 y (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))) y) (*.f64 x z)) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 y (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))) y) (*.f64 x z)) |
(/ (+ y (* (pow x 2) (* y (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))) (* x z)) |
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(/.f64 (fma.f64 y (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) y) (*.f64 x z)) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z)) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) y) (*.f64 x z)) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z)) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) y) (*.f64 x z)) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z)) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) y) (*.f64 x z)) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z)) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) y) (*.f64 x z)) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z)) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) y) (*.f64 x z)) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z)) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) y) (*.f64 x z)) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z)) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) y) (*.f64 x z)) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z)) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) y) (*.f64 x z)) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z)) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) y) (*.f64 x z)) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z)) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) y) (*.f64 x z)) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z)) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) y) (*.f64 x z)) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z)) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) y) (*.f64 x z)) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z)) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) y) (*.f64 x z)) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z)) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) y) (*.f64 x z)) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z)) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) y) (*.f64 x z)) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z)) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) y) (*.f64 x z)) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z)) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) y) (*.f64 x z)) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z)) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) y) (*.f64 x z)) |
(/ (* y (+ 1 (* 1/720 (pow x 6)))) (* x z)) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) y) (*.f64 x z)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/720 (pow x 6))) |
(fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* 1/720 (pow x 6))) |
(fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* 1/720 (pow x 6))) |
(fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) |
(* 1/720 (pow x 6)) |
(*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/720 (/ 1 (pow x 6)))) |
(fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) |
(* (pow x 6) (+ 1/720 (/ 1 (pow x 6)))) |
(fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) |
(* (pow x 6) (+ 1/720 (/ 1 (pow x 6)))) |
(fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) |
(* 1/720 (pow x 6)) |
(*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/720 (/ 1 (pow x 6)))) |
(fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) |
(* (pow x 6) (+ 1/720 (/ 1 (pow x 6)))) |
(fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) |
(* (pow x 6) (+ 1/720 (/ 1 (pow x 6)))) |
(fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) |
(* 1/720 (pow x 5)) |
(*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* 1/720 (pow x 5)) |
(*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* 1/720 (pow x 5)) |
(*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* 1/720 (pow x 5)) |
(*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* 1/720 (pow x 5)) |
(*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* 1/720 (pow x 5)) |
(*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* 1/720 (pow x 5)) |
(*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* 1/720 (pow x 5)) |
(*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* 1/720 (pow x 5)) |
(*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* 1/720 (pow x 5)) |
(*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* 1/720 (pow x 5)) |
(*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* 1/720 (pow x 5)) |
(*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
1/24 |
#s(literal 1/24 binary64) |
(+ 1/24 (* 1/720 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(+ 1/24 (* 1/720 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(+ 1/24 (* 1/720 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) |
(* 1/24 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(* 1/24 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(* 1/24 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(* 1/24 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(* 1/24 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(* 1/24 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(* 1/24 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(* 1/24 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(* 1/24 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(* 1/24 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(* 1/24 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(* 1/24 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/720 binary64)) |
(* 1/720 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* 1/720 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* 1/720 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* 1/720 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* 1/720 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* 1/720 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* 1/720 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* 1/720 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* 1/720 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* 1/720 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* 1/720 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
(* 1/720 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) |
Compiled 39 139 to 2 687 computations (93.1% saved)
53 alts after pruning (44 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 351 | 25 | 1 376 |
| Fresh | 7 | 19 | 26 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 7 | 7 |
| Total | 1 361 | 53 | 1 414 |
| Status | Accuracy | Program |
|---|---|---|
| 76.7% | (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) (*.f64 x z)) | |
| 74.6% | (/.f64 (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) (*.f64 x z)) | |
| 76.9% | (/.f64 (fma.f64 y (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64)))) y) (*.f64 x z)) | |
| ✓ | 67.4% | (/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z)) |
| 76.7% | (/.f64 (fma.f64 x (*.f64 x (*.f64 y (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)))) y) (*.f64 x z)) | |
| 90.1% | (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y) y) z) x) | |
| 52.0% | (/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y)) x (*.f64 x y)) (*.f64 x x)) z) | |
| 90.8% | (/.f64 (/.f64 (fma.f64 (*.f64 (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)) x) (*.f64 x y) y) z) x) | |
| 48.5% | (/.f64 (/.f64 (fma.f64 (*.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))) (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 x y) (/.f64 x y))) z) | |
| 90.4% | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y))) z) x) | |
| 43.9% | (/.f64 (/.f64 (*.f64 (fma.f64 y (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) (-.f64 (*.f64 y (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) y)) (-.f64 (*.f64 y (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) y)) (*.f64 x z)) | |
| 53.1% | (/.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) y) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)) z) | |
| 52.4% | (/.f64 (/.f64 y z) x) | |
| 50.6% | (/.f64 (/.f64 y x) z) | |
| 74.0% | (/.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x #s(literal 1 binary64)) (/.f64 y x)) z) | |
| 52.2% | (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 y (*.f64 x z))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) | |
| 52.2% | (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) y) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 x z))) | |
| ✓ | 77.9% | (/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 y x)) z) |
| ✓ | 77.4% | (/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64)) (/.f64 y x)) z) |
| ✓ | 95.5% | (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) |
| 52.4% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x) | |
| 40.3% | (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/24 binary64)) y) (*.f64 x x)) z) | |
| ✓ | 90.8% | (/.f64 (*.f64 (*.f64 y (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))) (/.f64 #s(literal 1 binary64) x)) z) |
| 41.0% | (/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) y) z) | |
| 28.2% | (/.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) z)) (/.f64 x y)) | |
| 39.9% | (/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x y))) x) z) | |
| 40.3% | (/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x y)) (*.f64 x x)) z) | |
| 31.3% | (/.f64 (*.f64 (neg.f64 y) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))) (neg.f64 (*.f64 z (neg.f64 x)))) | |
| 81.6% | (/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) | |
| 77.4% | (/.f64 (*.f64 y (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))) (*.f64 x z)) | |
| 75.0% | (/.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) | |
| 65.7% | (/.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) z) | |
| 42.5% | (/.f64 (*.f64 y (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) z))) x) | |
| 31.0% | (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x y)) #s(literal 1/24 binary64)))) (*.f64 x z)) | |
| 41.0% | (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) y)) z) | |
| 24.3% | (/.f64 y (/.f64 z (*.f64 x #s(literal 1/2 binary64)))) | |
| 44.0% | (/.f64 y (*.f64 (/.f64 z (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) x)) | |
| ✓ | 50.1% | (/.f64 y (*.f64 x z)) |
| 39.9% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 x (*.f64 x (*.f64 x y)))) #s(literal 24 binary64))) | |
| 39.9% | (/.f64 #s(literal 1/24 binary64) (/.f64 z (*.f64 x (*.f64 x (*.f64 x y))))) | |
| 50.9% | (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (/.f64 x y))) | |
| 49.5% | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y) | |
| ✓ | 31.2% | (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) z) (/.f64 y x)) |
| 24.7% | (*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) z) y) | |
| 52.5% | (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)) | |
| 40.3% | (*.f64 (/.f64 x z) (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x y)) #s(literal 1/24 binary64))) x)) | |
| ✓ | 49.5% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) |
| ✓ | 77.9% | (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 y x) (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)))) |
| 39.9% | (*.f64 (*.f64 (*.f64 x (*.f64 x y)) (*.f64 x #s(literal -1/24 binary64))) (/.f64 #s(literal -1 binary64) z)) | |
| 28.9% | (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (/.f64 y (*.f64 x z))) | |
| 39.9% | (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) (/.f64 #s(literal 1/24 binary64) z)) | |
| 22.5% | (*.f64 (*.f64 x y) (/.f64 #s(literal 1/2 binary64) z)) | |
| 25.8% | (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)) |
Compiled 2 277 to 851 computations (62.6% saved)
| Inputs |
|---|
(/.f64 y (*.f64 x z)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)) |
(*.f64 (*.f64 x y) (/.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) z) y) |
(/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
(/.f64 (/.f64 y x) z) |
(/.f64 (/.f64 y z) x) |
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y) |
(/.f64 y (/.f64 z (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) z) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (/.f64 x y))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x y))) (/.f64 #s(literal 1/24 binary64) z)) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) z) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) y)) z) |
(/.f64 (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))) z) |
(/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x y)) (*.f64 x x)) z) |
(/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x y))) x) z) |
(/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) y) z) |
(/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/24 binary64)) y) (*.f64 x x)) z) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y z))) |
(/.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) z) |
(/.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)) z) |
(*.f64 (*.f64 (*.f64 x (*.f64 x y)) (*.f64 x #s(literal -1/24 binary64))) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal 1/24 binary64) (/.f64 z (*.f64 x (*.f64 x (*.f64 x y))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) (/.f64 y x)) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y x)) z) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (/.f64 y (*.f64 x z))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x y)) #s(literal 1/24 binary64)))) (*.f64 x z)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 x (*.f64 x (*.f64 x y)))) #s(literal 24 binary64))) |
(/.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)) |
(/.f64 (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) (*.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x y)) #s(literal 1/24 binary64))) x)) |
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) z) (/.f64 y x)) |
(/.f64 y (*.f64 (/.f64 z (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) x)) |
(/.f64 (*.f64 y (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) z))) x) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))) (neg.f64 (*.f64 z (neg.f64 x)))) |
(/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64)))) (/.f64 y x)) z) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1 binary64)) (/.f64 y x)) z) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z) (/.f64 y x)) |
(/.f64 y (*.f64 (/.f64 z (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) z) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x #s(literal 1 binary64)) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) x) |
(/.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x) z) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x z) y)) |
(/.f64 (fma.f64 y (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64)))) y) (*.f64 x z)) |
(/.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) z)) (/.f64 x y)) |
(/.f64 (*.f64 y (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))) (*.f64 x z)) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 y (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)))) y) (*.f64 x z)) |
(/.f64 (fma.f64 (*.f64 y (*.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)) y) (*.f64 x z)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) (*.f64 x z)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y) y) (*.f64 x z)) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64)) (/.f64 y x)) z) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y) y) z) x) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 y x)) z) |
(/.f64 (/.f64 (fma.f64 (*.f64 (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)) x) (*.f64 x y) y) z) x) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y) y) z) x) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 y x) (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)))) |
(/.f64 (*.f64 (*.f64 y (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))) (/.f64 #s(literal 1 binary64) x)) z) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z) |
(/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y)) x (*.f64 x y)) (*.f64 x x)) z) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y))) z) x) |
(/.f64 (/.f64 (*.f64 (fma.f64 y (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) (-.f64 (*.f64 y (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) y)) (-.f64 (*.f64 y (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) y)) (*.f64 x z)) |
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) y) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 x z))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 y (*.f64 x z))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(/.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) y) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)) z) |
(/.f64 (/.f64 (fma.f64 (*.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))) (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 x y) (/.f64 x y))) z) |
(/.f64 (*.f64 (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) 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)) (/.f64 y x)) z) |
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 x z))) |
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) |
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x)) |
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x)) |
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) |
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) y) z)) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) |
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x)) |
5 calls:
| 27.0ms | z |
| 24.0ms | y |
| 24.0ms | x |
| 22.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 22.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 3 | x |
| 99.8% | 2 | y |
| 95.5% | 1 | z |
| 95.5% | 1 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 95.5% | 1 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
Compiled 32 to 22 computations (31.3% saved)
| Inputs |
|---|
(/.f64 y (*.f64 x z)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)) |
(*.f64 (*.f64 x y) (/.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) z) y) |
(/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
(/.f64 (/.f64 y x) z) |
(/.f64 (/.f64 y z) x) |
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y) |
(/.f64 y (/.f64 z (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) z) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (/.f64 x y))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x y))) (/.f64 #s(literal 1/24 binary64) z)) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) z) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) y)) z) |
(/.f64 (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))) z) |
(/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x y)) (*.f64 x x)) z) |
(/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x y))) x) z) |
(/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) y) z) |
(/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/24 binary64)) y) (*.f64 x x)) z) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y z))) |
(/.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) z) |
(/.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)) z) |
(*.f64 (*.f64 (*.f64 x (*.f64 x y)) (*.f64 x #s(literal -1/24 binary64))) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal 1/24 binary64) (/.f64 z (*.f64 x (*.f64 x (*.f64 x y))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) (/.f64 y x)) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y x)) z) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (/.f64 y (*.f64 x z))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x y)) #s(literal 1/24 binary64)))) (*.f64 x z)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 x (*.f64 x (*.f64 x y)))) #s(literal 24 binary64))) |
(/.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)) |
(/.f64 (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) (*.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x y)) #s(literal 1/24 binary64))) x)) |
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) z) (/.f64 y x)) |
(/.f64 y (*.f64 (/.f64 z (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) x)) |
(/.f64 (*.f64 y (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) z))) x) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))) (neg.f64 (*.f64 z (neg.f64 x)))) |
(/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64)))) (/.f64 y x)) z) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1 binary64)) (/.f64 y x)) z) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z) (/.f64 y x)) |
(/.f64 y (*.f64 (/.f64 z (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) z) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x #s(literal 1 binary64)) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) x) |
(/.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x) z) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x z) y)) |
(/.f64 (fma.f64 y (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64)))) y) (*.f64 x z)) |
(/.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) z)) (/.f64 x y)) |
(/.f64 (*.f64 y (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))) (*.f64 x z)) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 y (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)))) y) (*.f64 x z)) |
(/.f64 (fma.f64 (*.f64 y (*.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)) y) (*.f64 x z)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) (*.f64 x z)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y) y) (*.f64 x z)) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64)) (/.f64 y x)) z) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y) y) z) x) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 y x)) z) |
(/.f64 (/.f64 (fma.f64 (*.f64 (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)) x) (*.f64 x y) y) z) x) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y) y) z) x) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 y x) (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)))) |
(/.f64 (*.f64 (*.f64 y (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))) (/.f64 #s(literal 1 binary64) x)) z) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z) |
(/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y)) x (*.f64 x y)) (*.f64 x x)) z) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y))) z) x) |
(/.f64 (/.f64 (*.f64 (fma.f64 y (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) (-.f64 (*.f64 y (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) y)) (-.f64 (*.f64 y (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) y)) (*.f64 x z)) |
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) y) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 x z))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 y (*.f64 x z))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(/.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) y) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)) z) |
(/.f64 (/.f64 (fma.f64 (*.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))) (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 x y) (/.f64 x y))) z) |
(/.f64 (*.f64 (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) 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)) (/.f64 y x)) z) |
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 x z))) |
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) |
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x)) |
(*.f64 (/.f64 (cosh.f64 x) z) (/.f64 y x)) |
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 y (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))) (/.f64 #s(literal 1 binary64) x)) z) |
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x)) |
5 calls:
| 27.0ms | y |
| 24.0ms | z |
| 23.0ms | x |
| 23.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 21.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.3% | 2 | z |
| 97.9% | 3 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 97.9% | 3 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 98.8% | 4 | x |
| 96.7% | 2 | y |
Compiled 32 to 22 computations (31.3% saved)
| Inputs |
|---|
(/.f64 y (*.f64 x z)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)) |
(*.f64 (*.f64 x y) (/.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) z) y) |
(/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
(/.f64 (/.f64 y x) z) |
(/.f64 (/.f64 y z) x) |
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y) |
(/.f64 y (/.f64 z (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) z) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (/.f64 x y))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x y))) (/.f64 #s(literal 1/24 binary64) z)) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) z) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) y)) z) |
(/.f64 (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))) z) |
(/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x y)) (*.f64 x x)) z) |
(/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x y))) x) z) |
(/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) y) z) |
(/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/24 binary64)) y) (*.f64 x x)) z) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y z))) |
(/.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) z) |
(/.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)) z) |
(*.f64 (*.f64 (*.f64 x (*.f64 x y)) (*.f64 x #s(literal -1/24 binary64))) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal 1/24 binary64) (/.f64 z (*.f64 x (*.f64 x (*.f64 x y))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) (/.f64 y x)) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y x)) z) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (/.f64 y (*.f64 x z))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x y)) #s(literal 1/24 binary64)))) (*.f64 x z)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 x (*.f64 x (*.f64 x y)))) #s(literal 24 binary64))) |
(/.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)) |
(/.f64 (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) (*.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x y)) #s(literal 1/24 binary64))) x)) |
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) z) (/.f64 y x)) |
(/.f64 y (*.f64 (/.f64 z (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) x)) |
(/.f64 (*.f64 y (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) z))) x) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))) (neg.f64 (*.f64 z (neg.f64 x)))) |
(/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64)))) (/.f64 y x)) z) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1 binary64)) (/.f64 y x)) z) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z) (/.f64 y x)) |
(/.f64 y (*.f64 (/.f64 z (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) z) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x #s(literal 1 binary64)) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) x) |
(/.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x) z) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x z) y)) |
(/.f64 (fma.f64 y (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64)))) y) (*.f64 x z)) |
(/.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) z)) (/.f64 x y)) |
(/.f64 (*.f64 y (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))) (*.f64 x z)) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 y (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)))) y) (*.f64 x z)) |
(/.f64 (fma.f64 (*.f64 y (*.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)) y) (*.f64 x z)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) (*.f64 x z)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y) y) (*.f64 x z)) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64)) (/.f64 y x)) z) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y) y) z) x) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 y x)) z) |
(/.f64 (/.f64 (fma.f64 (*.f64 (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)) x) (*.f64 x y) y) z) x) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y) y) z) x) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 y x) (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)))) |
(/.f64 (*.f64 (*.f64 y (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))) (/.f64 #s(literal 1 binary64) x)) z) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 x y))) z) |
(/.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y)) x (*.f64 x y)) (*.f64 x x)) z) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y))) z) x) |
(/.f64 (/.f64 (*.f64 (fma.f64 y (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) (-.f64 (*.f64 y (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) y)) (-.f64 (*.f64 y (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) y)) (*.f64 x z)) |
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) y) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 x z))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 y (*.f64 x z))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(/.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) y) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)) z) |
(/.f64 (/.f64 (fma.f64 (*.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))) (/.f64 x y) (/.f64 x y)) (*.f64 (/.f64 x y) (/.f64 x y))) z) |
(/.f64 (*.f64 (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/4 binary64)) 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)) (/.f64 y x)) z) |
(*.f64 y (/.f64 (cosh.f64 x) (*.f64 x z))) |
(/.f64 (*.f64 (cosh.f64 x) y) (*.f64 x z)) |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 y (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))) (/.f64 #s(literal 1 binary64) x)) z) |
(/.f64 (/.f64 (fma.f64 (*.f64 (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)) x) (*.f64 x y) y) z) x) |
5 calls:
| 28.0ms | y |
| 27.0ms | z |
| 25.0ms | x |
| 22.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 21.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.5% | 3 | z |
| 96.7% | 3 | x |
| 94.6% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 94.4% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 95.2% | 2 | y |
Compiled 32 to 22 computations (31.3% saved)
| Inputs |
|---|
(/.f64 y (*.f64 x z)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)) |
(*.f64 (*.f64 x y) (/.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) z) y) |
(/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
(/.f64 (/.f64 y x) z) |
(/.f64 (/.f64 y z) x) |
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y) |
(/.f64 y (/.f64 z (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) z) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (/.f64 x y))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x y))) (/.f64 #s(literal 1/24 binary64) z)) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) z) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) y)) z) |
(/.f64 (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))) z) |
(/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x y)) (*.f64 x x)) z) |
(/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x y))) x) z) |
(/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) y) z) |
(/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/24 binary64)) y) (*.f64 x x)) z) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y z))) |
(/.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) z) |
(/.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)) z) |
(*.f64 (*.f64 (*.f64 x (*.f64 x y)) (*.f64 x #s(literal -1/24 binary64))) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal 1/24 binary64) (/.f64 z (*.f64 x (*.f64 x (*.f64 x y))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) (/.f64 y x)) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y x)) z) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (/.f64 y (*.f64 x z))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x y)) #s(literal 1/24 binary64)))) (*.f64 x z)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 x (*.f64 x (*.f64 x y)))) #s(literal 24 binary64))) |
(/.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)) |
(/.f64 (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) (*.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x y)) #s(literal 1/24 binary64))) x)) |
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) z) (/.f64 y x)) |
(/.f64 y (*.f64 (/.f64 z (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) x)) |
(/.f64 (*.f64 y (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) z))) x) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))) (neg.f64 (*.f64 z (neg.f64 x)))) |
(/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64)))) (/.f64 y x)) z) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1 binary64)) (/.f64 y x)) z) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z) (/.f64 y x)) |
(/.f64 y (*.f64 (/.f64 z (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) z) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x #s(literal 1 binary64)) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) x) |
(/.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x) z) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x z) y)) |
(/.f64 (fma.f64 y (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64)))) y) (*.f64 x z)) |
(/.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) z)) (/.f64 x y)) |
(/.f64 (*.f64 y (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))) (*.f64 x z)) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 y (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)))) y) (*.f64 x z)) |
(/.f64 (fma.f64 (*.f64 y (*.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)) y) (*.f64 x z)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) (*.f64 x z)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y) y) (*.f64 x z)) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64)) (/.f64 y x)) z) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y) y) z) x) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 y x)) z) |
(/.f64 (/.f64 (fma.f64 (*.f64 (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)) x) (*.f64 x y) y) z) x) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y) y) z) x) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 y x) (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)))) |
| Outputs |
|---|
(/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 y x)) z) |
(/.f64 (/.f64 (fma.f64 (*.f64 (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)) x) (*.f64 x y) y) z) x) |
3 calls:
| 26.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 19.0ms | y |
| 19.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.5% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 90.8% | 1 | x |
| 90.8% | 1 | y |
Compiled 19 to 13 computations (31.6% saved)
| Inputs |
|---|
(/.f64 y (*.f64 x z)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)) |
(*.f64 (*.f64 x y) (/.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) z) y) |
(/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
(/.f64 (/.f64 y x) z) |
(/.f64 (/.f64 y z) x) |
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y) |
(/.f64 y (/.f64 z (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) z) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (/.f64 x y))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x y))) (/.f64 #s(literal 1/24 binary64) z)) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) z) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) y)) z) |
(/.f64 (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))) z) |
(/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x y)) (*.f64 x x)) z) |
(/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x y))) x) z) |
(/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) y) z) |
(/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/24 binary64)) y) (*.f64 x x)) z) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y z))) |
(/.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) z) |
(/.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)) z) |
(*.f64 (*.f64 (*.f64 x (*.f64 x y)) (*.f64 x #s(literal -1/24 binary64))) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal 1/24 binary64) (/.f64 z (*.f64 x (*.f64 x (*.f64 x y))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) (/.f64 y x)) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y x)) z) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (/.f64 y (*.f64 x z))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x y)) #s(literal 1/24 binary64)))) (*.f64 x z)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 x (*.f64 x (*.f64 x y)))) #s(literal 24 binary64))) |
(/.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)) |
(/.f64 (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) (*.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x y)) #s(literal 1/24 binary64))) x)) |
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) z) (/.f64 y x)) |
(/.f64 y (*.f64 (/.f64 z (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) x)) |
(/.f64 (*.f64 y (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) z))) x) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))) (neg.f64 (*.f64 z (neg.f64 x)))) |
(/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64)))) (/.f64 y x)) z) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1 binary64)) (/.f64 y x)) z) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z) (/.f64 y x)) |
(/.f64 y (*.f64 (/.f64 z (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) z) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x #s(literal 1 binary64)) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) x) |
(/.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x) z) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x z) y)) |
(/.f64 (fma.f64 y (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64)))) y) (*.f64 x z)) |
(/.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) z)) (/.f64 x y)) |
(/.f64 (*.f64 y (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))) (*.f64 x z)) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 y (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)))) y) (*.f64 x z)) |
(/.f64 (fma.f64 (*.f64 y (*.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)) y) (*.f64 x z)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) (*.f64 x z)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y) y) (*.f64 x z)) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64)) (/.f64 y x)) z) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y) y) z) x) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 y x)) z) |
| Outputs |
|---|
(/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 y x)) z) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y) y) z) x) |
2 calls:
| 17.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 16.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.1% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 94.1% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
(/.f64 y (*.f64 x z)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)) |
(*.f64 (*.f64 x y) (/.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) z) y) |
(/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
(/.f64 (/.f64 y x) z) |
(/.f64 (/.f64 y z) x) |
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y) |
(/.f64 y (/.f64 z (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) z) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (/.f64 x y))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x y))) (/.f64 #s(literal 1/24 binary64) z)) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) z) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) y)) z) |
(/.f64 (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))) z) |
(/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x y)) (*.f64 x x)) z) |
(/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x y))) x) z) |
(/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) y) z) |
(/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/24 binary64)) y) (*.f64 x x)) z) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y z))) |
(/.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) z) |
(/.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)) z) |
(*.f64 (*.f64 (*.f64 x (*.f64 x y)) (*.f64 x #s(literal -1/24 binary64))) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal 1/24 binary64) (/.f64 z (*.f64 x (*.f64 x (*.f64 x y))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) (/.f64 y x)) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y x)) z) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (/.f64 y (*.f64 x z))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x y)) #s(literal 1/24 binary64)))) (*.f64 x z)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 x (*.f64 x (*.f64 x y)))) #s(literal 24 binary64))) |
(/.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)) |
(/.f64 (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) (*.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x y)) #s(literal 1/24 binary64))) x)) |
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) z) (/.f64 y x)) |
(/.f64 y (*.f64 (/.f64 z (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) x)) |
(/.f64 (*.f64 y (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) z))) x) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))) (neg.f64 (*.f64 z (neg.f64 x)))) |
(/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64)))) (/.f64 y x)) z) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1 binary64)) (/.f64 y x)) z) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z) (/.f64 y x)) |
(/.f64 y (*.f64 (/.f64 z (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) z) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x #s(literal 1 binary64)) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) x) |
(/.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x) z) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x z) y)) |
(/.f64 (fma.f64 y (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64)))) y) (*.f64 x z)) |
(/.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) z)) (/.f64 x y)) |
(/.f64 (*.f64 y (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))) (*.f64 x z)) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 y (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)))) y) (*.f64 x z)) |
(/.f64 (fma.f64 (*.f64 y (*.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)) y) (*.f64 x z)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) (*.f64 x z)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y) y) (*.f64 x z)) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64)) (/.f64 y x)) z) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y) y) z) x) |
| Outputs |
|---|
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) z) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y) y) z) x) |
2 calls:
| 17.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 16.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.9% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 93.9% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
(/.f64 y (*.f64 x z)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)) |
(*.f64 (*.f64 x y) (/.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) z) y) |
(/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
(/.f64 (/.f64 y x) z) |
(/.f64 (/.f64 y z) x) |
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y) |
(/.f64 y (/.f64 z (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) z) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (/.f64 x y))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x y))) (/.f64 #s(literal 1/24 binary64) z)) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) z) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) y)) z) |
(/.f64 (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))) z) |
(/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x y)) (*.f64 x x)) z) |
(/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x y))) x) z) |
(/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) y) z) |
(/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/24 binary64)) y) (*.f64 x x)) z) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y z))) |
(/.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) z) |
(/.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)) z) |
(*.f64 (*.f64 (*.f64 x (*.f64 x y)) (*.f64 x #s(literal -1/24 binary64))) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal 1/24 binary64) (/.f64 z (*.f64 x (*.f64 x (*.f64 x y))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) (/.f64 y x)) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y x)) z) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (/.f64 y (*.f64 x z))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x y)) #s(literal 1/24 binary64)))) (*.f64 x z)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 x (*.f64 x (*.f64 x y)))) #s(literal 24 binary64))) |
(/.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)) |
(/.f64 (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) (*.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x y)) #s(literal 1/24 binary64))) x)) |
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) z) (/.f64 y x)) |
(/.f64 y (*.f64 (/.f64 z (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) x)) |
(/.f64 (*.f64 y (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) z))) x) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))) (neg.f64 (*.f64 z (neg.f64 x)))) |
(/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64)))) (/.f64 y x)) z) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1 binary64)) (/.f64 y x)) z) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z) (/.f64 y x)) |
(/.f64 y (*.f64 (/.f64 z (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) z) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x #s(literal 1 binary64)) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) x) |
(/.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x) z) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x z) y)) |
(/.f64 (fma.f64 y (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64)))) y) (*.f64 x z)) |
(/.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) z)) (/.f64 x y)) |
(/.f64 (*.f64 y (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))) (*.f64 x z)) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 y (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)))) y) (*.f64 x z)) |
(/.f64 (fma.f64 (*.f64 y (*.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)) y) (*.f64 x z)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x y)) y) (*.f64 x z)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y) y) (*.f64 x z)) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))) #s(literal 1 binary64)) (/.f64 y x)) z) |
| Outputs |
|---|
(/.f64 (*.f64 y (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))) (*.f64 x z)) |
(/.f64 (/.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) x) |
3 calls:
| 19.0ms | z |
| 16.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 16.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.7% | 2 | z |
| 92.8% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 92.8% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
Compiled 24 to 16 computations (33.3% saved)
| Inputs |
|---|
(/.f64 y (*.f64 x z)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)) |
(*.f64 (*.f64 x y) (/.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) z) y) |
(/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
(/.f64 (/.f64 y x) z) |
(/.f64 (/.f64 y z) x) |
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y) |
(/.f64 y (/.f64 z (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) z) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (/.f64 x y))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x y))) (/.f64 #s(literal 1/24 binary64) z)) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) z) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) y)) z) |
(/.f64 (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))) z) |
(/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x y)) (*.f64 x x)) z) |
(/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x y))) x) z) |
(/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) y) z) |
(/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/24 binary64)) y) (*.f64 x x)) z) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y z))) |
(/.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) z) |
(/.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)) z) |
(*.f64 (*.f64 (*.f64 x (*.f64 x y)) (*.f64 x #s(literal -1/24 binary64))) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal 1/24 binary64) (/.f64 z (*.f64 x (*.f64 x (*.f64 x y))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) (/.f64 y x)) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y x)) z) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (/.f64 y (*.f64 x z))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x y)) #s(literal 1/24 binary64)))) (*.f64 x z)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 x (*.f64 x (*.f64 x y)))) #s(literal 24 binary64))) |
(/.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)) |
(/.f64 (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) (*.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x y)) #s(literal 1/24 binary64))) x)) |
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) z) (/.f64 y x)) |
(/.f64 y (*.f64 (/.f64 z (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) x)) |
(/.f64 (*.f64 y (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) z))) x) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))) (neg.f64 (*.f64 z (neg.f64 x)))) |
(/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64)))) (/.f64 y x)) z) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1 binary64)) (/.f64 y x)) z) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z) (/.f64 y x)) |
(/.f64 y (*.f64 (/.f64 z (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) z) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x #s(literal 1 binary64)) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) x) |
(/.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) x) z) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x z) y)) |
(/.f64 (fma.f64 y (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/720 binary64)))) y) (*.f64 x z)) |
(/.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) z)) (/.f64 x y)) |
| Outputs |
|---|
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) z) |
(/.f64 (/.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) x) |
1 calls:
| 15.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.8% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Compiled 11 to 7 computations (36.4% saved)
| Inputs |
|---|
(/.f64 y (*.f64 x z)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)) |
(*.f64 (*.f64 x y) (/.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) z) y) |
(/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
(/.f64 (/.f64 y x) z) |
(/.f64 (/.f64 y z) x) |
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y) |
(/.f64 y (/.f64 z (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) z) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (/.f64 x y))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x y))) (/.f64 #s(literal 1/24 binary64) z)) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) z) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) y)) z) |
(/.f64 (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))) z) |
(/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x y)) (*.f64 x x)) z) |
(/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x y))) x) z) |
(/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) y) z) |
(/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/24 binary64)) y) (*.f64 x x)) z) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y z))) |
(/.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) z) |
(/.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)) z) |
(*.f64 (*.f64 (*.f64 x (*.f64 x y)) (*.f64 x #s(literal -1/24 binary64))) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal 1/24 binary64) (/.f64 z (*.f64 x (*.f64 x (*.f64 x y))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) (/.f64 y x)) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y x)) z) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (/.f64 y (*.f64 x z))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x y)) #s(literal 1/24 binary64)))) (*.f64 x z)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 x (*.f64 x (*.f64 x y)))) #s(literal 24 binary64))) |
(/.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)) |
(/.f64 (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) (*.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x y)) #s(literal 1/24 binary64))) x)) |
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) z) (/.f64 y x)) |
(/.f64 y (*.f64 (/.f64 z (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) x)) |
(/.f64 (*.f64 y (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) z))) x) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))) (neg.f64 (*.f64 z (neg.f64 x)))) |
(/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64)))) (/.f64 y x)) z) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1 binary64)) (/.f64 y x)) z) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z) (/.f64 y x)) |
(/.f64 y (*.f64 (/.f64 z (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) z) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) x #s(literal 1 binary64)) (/.f64 y x)) z) |
| Outputs |
|---|
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) z) |
(/.f64 y (*.f64 (/.f64 z (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)) |
2 calls:
| 13.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 13.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.4% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 92.4% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
(/.f64 y (*.f64 x z)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)) |
(*.f64 (*.f64 x y) (/.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) z) y) |
(/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
(/.f64 (/.f64 y x) z) |
(/.f64 (/.f64 y z) x) |
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y) |
(/.f64 y (/.f64 z (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) z) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (/.f64 x y))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x y))) (/.f64 #s(literal 1/24 binary64) z)) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) z) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) y)) z) |
(/.f64 (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))) z) |
(/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x y)) (*.f64 x x)) z) |
(/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x y))) x) z) |
(/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) y) z) |
(/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/24 binary64)) y) (*.f64 x x)) z) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y z))) |
(/.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) z) |
(/.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)) z) |
(*.f64 (*.f64 (*.f64 x (*.f64 x y)) (*.f64 x #s(literal -1/24 binary64))) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal 1/24 binary64) (/.f64 z (*.f64 x (*.f64 x (*.f64 x y))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) (/.f64 y x)) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y x)) z) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (/.f64 y (*.f64 x z))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x y)) #s(literal 1/24 binary64)))) (*.f64 x z)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 x (*.f64 x (*.f64 x y)))) #s(literal 24 binary64))) |
(/.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)) |
(/.f64 (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) (*.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x y)) #s(literal 1/24 binary64))) x)) |
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) z) (/.f64 y x)) |
(/.f64 y (*.f64 (/.f64 z (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) x)) |
(/.f64 (*.f64 y (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) z))) x) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))) (neg.f64 (*.f64 z (neg.f64 x)))) |
(/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64)))) (/.f64 y x)) z) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1 binary64)) (/.f64 y x)) z) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z) (/.f64 y x)) |
(/.f64 y (*.f64 (/.f64 z (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)) |
| Outputs |
|---|
(/.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)) z) |
(/.f64 y (*.f64 (/.f64 z (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x)) |
2 calls:
| 13.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 12.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.4% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 92.4% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
(/.f64 y (*.f64 x z)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)) |
(*.f64 (*.f64 x y) (/.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) z) y) |
(/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
(/.f64 (/.f64 y x) z) |
(/.f64 (/.f64 y z) x) |
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y) |
(/.f64 y (/.f64 z (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) z) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (/.f64 x y))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x y))) (/.f64 #s(literal 1/24 binary64) z)) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) z) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) y)) z) |
(/.f64 (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))) z) |
(/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x y)) (*.f64 x x)) z) |
(/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x y))) x) z) |
(/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) y) z) |
(/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/24 binary64)) y) (*.f64 x x)) z) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y z))) |
(/.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) z) |
(/.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)) z) |
(*.f64 (*.f64 (*.f64 x (*.f64 x y)) (*.f64 x #s(literal -1/24 binary64))) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal 1/24 binary64) (/.f64 z (*.f64 x (*.f64 x (*.f64 x y))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) (/.f64 y x)) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y x)) z) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (/.f64 y (*.f64 x z))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x y)) #s(literal 1/24 binary64)))) (*.f64 x z)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 x (*.f64 x (*.f64 x y)))) #s(literal 24 binary64))) |
(/.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)) |
(/.f64 (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) (*.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x y)) #s(literal 1/24 binary64))) x)) |
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) z) (/.f64 y x)) |
(/.f64 y (*.f64 (/.f64 z (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) x)) |
(/.f64 (*.f64 y (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) z))) x) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))) (neg.f64 (*.f64 z (neg.f64 x)))) |
(/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/24 binary64)))) (/.f64 y x)) z) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/24 binary64))) #s(literal 1 binary64)) (/.f64 y x)) z) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z) (/.f64 y x)) |
| Outputs |
|---|
(/.f64 (/.f64 y z) x) |
(/.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) |
(/.f64 y (*.f64 (/.f64 z (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) x)) |
5 calls:
| 14.0ms | z |
| 14.0ms | y |
| 13.0ms | x |
| 13.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 12.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.9% | 3 | z |
| 90.4% | 3 | x |
| 82.5% | 5 | y |
| 88.0% | 2 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 88.0% | 2 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
Compiled 32 to 22 computations (31.3% saved)
| Inputs |
|---|
(/.f64 y (*.f64 x z)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)) |
(*.f64 (*.f64 x y) (/.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) z) y) |
(/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
(/.f64 (/.f64 y x) z) |
(/.f64 (/.f64 y z) x) |
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y) |
(/.f64 y (/.f64 z (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) z) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (/.f64 x y))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x y))) (/.f64 #s(literal 1/24 binary64) z)) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) z) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) y)) z) |
(/.f64 (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))) z) |
(/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x y)) (*.f64 x x)) z) |
(/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x y))) x) z) |
(/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) y) z) |
(/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/24 binary64)) y) (*.f64 x x)) z) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y z))) |
(/.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) z) |
(/.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)) z) |
(*.f64 (*.f64 (*.f64 x (*.f64 x y)) (*.f64 x #s(literal -1/24 binary64))) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal 1/24 binary64) (/.f64 z (*.f64 x (*.f64 x (*.f64 x y))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) (/.f64 y x)) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y x)) z) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (/.f64 y (*.f64 x z))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x y)) #s(literal 1/24 binary64)))) (*.f64 x z)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 x (*.f64 x (*.f64 x y)))) #s(literal 24 binary64))) |
(/.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 y (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))) y) (*.f64 x z)) |
(/.f64 (fma.f64 (*.f64 y (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) y) (*.f64 x z)) |
(*.f64 (/.f64 x z) (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x y)) #s(literal 1/24 binary64))) x)) |
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) z) (/.f64 y x)) |
| Outputs |
|---|
(/.f64 (/.f64 y z) x) |
(/.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) y)) z) |
3 calls:
| 15.0ms | x |
| 11.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 10.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.6% | 3 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 84.6% | 3 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 88.5% | 3 | x |
Compiled 24 to 16 computations (33.3% saved)
| Inputs |
|---|
(/.f64 y (*.f64 x z)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)) |
(*.f64 (*.f64 x y) (/.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) z) y) |
(/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
(/.f64 (/.f64 y x) z) |
(/.f64 (/.f64 y z) x) |
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y) |
(/.f64 y (/.f64 z (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) z) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (/.f64 x y))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x y))) (/.f64 #s(literal 1/24 binary64) z)) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) z) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) y)) z) |
(/.f64 (*.f64 x (*.f64 (*.f64 y (*.f64 x x)) #s(literal 1/24 binary64))) z) |
(/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x y)) (*.f64 x x)) z) |
(/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x y))) x) z) |
(/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) y) z) |
(/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/24 binary64)) y) (*.f64 x x)) z) |
(/.f64 (fma.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) y) (*.f64 x z)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y z))) |
(/.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) z) |
(/.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)) z) |
(*.f64 (*.f64 (*.f64 x (*.f64 x y)) (*.f64 x #s(literal -1/24 binary64))) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal 1/24 binary64) (/.f64 z (*.f64 x (*.f64 x (*.f64 x y))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) z) (/.f64 y x)) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 y x)) z) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (/.f64 y (*.f64 x z))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x y)) #s(literal 1/24 binary64)))) (*.f64 x z)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 x (*.f64 x (*.f64 x y)))) #s(literal 24 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) y)) z) |
1 calls:
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.4% | 2 | x |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 y (*.f64 x z)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)) |
(*.f64 (*.f64 x y) (/.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) z) y) |
(/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
(/.f64 (/.f64 y x) z) |
(/.f64 (/.f64 y z) x) |
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y) |
(/.f64 y (/.f64 z (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) z) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (/.f64 x y))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x y))) (/.f64 #s(literal 1/24 binary64) z)) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) z) |
| Outputs |
|---|
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) z) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.6% | 2 | x |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 y (*.f64 x z)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)) |
(*.f64 (*.f64 x y) (/.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) z) y) |
(/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
(/.f64 (/.f64 y x) z) |
(/.f64 (/.f64 y z) x) |
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y) |
(/.f64 y (/.f64 z (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) z) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (/.f64 x y))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x y))) (/.f64 #s(literal 1/24 binary64) z)) |
| Outputs |
|---|
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x y))) (/.f64 #s(literal 1/24 binary64) z)) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.2% | 2 | x |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 y (*.f64 x z)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)) |
(*.f64 (*.f64 x y) (/.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) z) y) |
(/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
(/.f64 (/.f64 y x) z) |
(/.f64 (/.f64 y z) x) |
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) x) y) |
(/.f64 y (/.f64 z (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) z) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (/.f64 x y))) |
| Outputs |
|---|
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) z) y) |
5 calls:
| 5.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 5.0ms | x |
| 5.0ms | y |
| 5.0ms | z |
| 4.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.1% | 2 | y |
| 57.7% | 3 | z |
| 61.2% | 3 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 61.2% | 3 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 68.4% | 2 | x |
Compiled 32 to 22 computations (31.3% saved)
| Inputs |
|---|
(/.f64 y (*.f64 x z)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)) |
(*.f64 (*.f64 x y) (/.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) z) y) |
(/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
(/.f64 (/.f64 y x) z) |
(/.f64 (/.f64 y z) x) |
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) |
| Outputs |
|---|
(/.f64 (/.f64 y z) x) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) z) y) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.4% | 2 | x |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 y (*.f64 x z)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)) |
(*.f64 (*.f64 x y) (/.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) z) y) |
(/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
(/.f64 (/.f64 y x) z) |
| Outputs |
|---|
(/.f64 (/.f64 y x) z) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) z) y) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.7% | 2 | x |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 y (*.f64 x z)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)) |
(*.f64 (*.f64 x y) (/.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) z) y) |
(/.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))) z) |
| Outputs |
|---|
(/.f64 y (*.f64 x z)) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) z) y) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.1% | 2 | x |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 y (*.f64 x z)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)) |
(*.f64 (*.f64 x y) (/.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x z)) y) |
| Outputs |
|---|
(/.f64 y (*.f64 x z)) |
(*.f64 (*.f64 x y) (/.f64 #s(literal 1/2 binary64) z)) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.9% | 2 | x |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(/.f64 y (*.f64 x z)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)) |
| Outputs |
|---|
(/.f64 y (*.f64 x z)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z)) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.3% | 2 | x |
Compiled 4 to 3 computations (25% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(/.f64 y (*.f64 x z)) |
| Outputs |
|---|
(/.f64 y (*.f64 x z)) |
5 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | z |
| 1.0ms | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 1.0ms | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.1% | 1 | y |
| 50.1% | 1 | z |
| 50.1% | 1 | (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) |
| 50.1% | 1 | (*.f64 (cosh.f64 x) (/.f64 y x)) |
| 50.1% | 1 | x |
Compiled 32 to 22 computations (31.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 4.486738332688302e-25 | 3.1392915499602784e-15 |
| 9.0ms | 160× | 0 | valid |
Compiled 254 to 173 computations (31.9% saved)
ival-div: 2.0ms (41% of total)ival-cosh: 2.0ms (41% of total)ival-mult: 1.0ms (20.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 4.486738332688302e-25 | 3.1392915499602784e-15 |
| 6.0ms | 96× | 0 | valid |
Compiled 414 to 263 computations (36.5% saved)
ival-div: 1.0ms (33% of total)ival-mult: 1.0ms (33% of total)ival-cosh: 1.0ms (33% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 9.276579883480196e-76 | 3.1391265233923913e-74 |
| 6.0ms | 112× | 0 | valid |
Compiled 392 to 244 computations (37.8% saved)
ival-div: 2.0ms (58.7% of total)ival-mult: 1.0ms (29.4% of total)ival-cosh: 1.0ms (29.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.395395424839629e+175 | 7.067408815432317e+186 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.691720680451124e+297 | +inf |
Compiled 14 to 13 computations (7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.511543745363658e+305 | +inf |
Compiled 14 to 13 computations (7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 54449955627143.445 | 2431513998561277.0 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.395395424839629e+175 | 7.067408815432317e+186 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.3096625897398685e+262 | 4.18276176862721e+265 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.3096625897398685e+262 | 4.18276176862721e+265 |
Compiled 14 to 13 computations (7.1% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 6.964904001118324e+19 | 1.153125795064969e+23 |
| 12.0ms | 4.7708310514517004e-219 | 5.857333895817906e-215 |
| 10.0ms | 176× | 0 | valid |
Compiled 374 to 248 computations (33.7% saved)
ival-div: 2.0ms (38.1% of total)ival-cosh: 2.0ms (38.1% of total)ival-mult: 1.0ms (19.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 7.187912713896142e+92 | 3.2026972699440007e+94 |
| 1.0ms | 4.7708310514517004e-219 | 5.857333895817906e-215 |
| 9.0ms | 112× | 0 | valid |
Compiled 506 to 341 computations (32.6% saved)
ival-div: 1.0ms (30.3% of total)ival-mult: 1.0ms (30.3% of total)ival-cosh: 1.0ms (30.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 0.29845469385228596 | 10220951.721293882 |
| 12.0ms | 144× | 0 | valid |
Compiled 248 to 175 computations (29.4% saved)
ival-cosh: 6.0ms (67.7% of total)ival-div: 2.0ms (22.6% of total)ival-mult: 1.0ms (11.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.29845469385228596 | 10220951.721293882 |
Compiled 248 to 175 computations (29.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.29845469385228596 | 10220951.721293882 |
Compiled 248 to 175 computations (29.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 0.29845469385228596 | 10220951.721293882 |
| 4.0ms | 64× | 0 | valid |
Compiled 212 to 157 computations (25.9% saved)
ival-div: 1.0ms (45.9% of total)ival-cosh: 1.0ms (45.9% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.29845469385228596 | 10220951.721293882 |
Compiled 194 to 139 computations (28.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.29845469385228596 | 10220951.721293882 |
Compiled 194 to 139 computations (28.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.29845469385228596 | 10220951.721293882 |
Compiled 194 to 139 computations (28.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.29845469385228596 | 10220951.721293882 |
Compiled 194 to 139 computations (28.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.29845469385228596 | 10220951.721293882 |
Compiled 194 to 139 computations (28.4% saved)
| 1× | egg-herbie |
| 66× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 134 | 695 |
| 1 | 170 | 695 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 y #s(literal 2926428355520071/1361129467683753853853498429727072845824 binary64)) (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))) |
(if (<=.f64 y #s(literal 2450033041830757/5444517870735015415413993718908291383296 binary64)) (/.f64 (*.f64 (*.f64 y (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))) (/.f64 #s(literal 1 binary64) x)) z) (*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))) |
(if (<=.f64 y #s(literal 7129625917170701/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) (/.f64 (*.f64 (*.f64 y (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))) (/.f64 #s(literal 1 binary64) x)) z) (/.f64 (/.f64 (fma.f64 (*.f64 (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)) x) (*.f64 x y) y) z) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 39999999999999997486138098493475056401093230239587493100825002713807698410740413528150307135276363386938195289179600132648448207361831475318456484960712247853539567853690159104 binary64)) (/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 y x)) z) (/.f64 (/.f64 (fma.f64 (*.f64 (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)) x) (*.f64 x y) y) z) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 9999999999999999595662034753429788238255624467393741467120915117996487670031669885400803025551745174706847878231119663145222863482996149222332143382301002459214758820269116923021527058285459686414683385913622455551313826420028155008403585629126369847605750170289266545852965785882018353801250996224 binary64)) (/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 y x)) z) (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y) y) z) x)) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 500000000000000008608032298368227414415543912506619491164446008946190335622287523993960225937729797284303069430849145530155524612766474260348469402855720325061314257334714230178496312484014164775344612087642173365030358044414607127719847315059897273252756207808991071631335431459408181431059577374563631104 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) z) (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y) y) z) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 100000000000000 binary64)) (/.f64 (*.f64 y (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))) (*.f64 x z)) (/.f64 (/.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 39999999999999997486138098493475056401093230239587493100825002713807698410740413528150307135276363386938195289179600132648448207361831475318456484960712247853539567853690159104 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) z) (/.f64 (/.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 20000000000000000323456785900191669561923454243064936219351155259210830706007157687226704499288107285763810660663679263023264344934985834790648308005091295168868698197129205191161878464985997761417827125414132937520722989422036627287210875071738030889333260550144 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) z) (/.f64 y (*.f64 (/.f64 z (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 20000000000000000323456785900191669561923454243064936219351155259210830706007157687226704499288107285763810660663679263023264344934985834790648308005091295168868698197129205191161878464985997761417827125414132937520722989422036627287210875071738030889333260550144 binary64)) (/.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)) z) (/.f64 y (*.f64 (/.f64 z (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))) |
(if (<=.f64 x #s(literal 869410131688397/6210072369202835740595917953850010221027544068466786444556208152104203810745507545323513635314585911801950922788524292824686320176459257565777149100164724556817819904083399622201061142526393779301051996774865875003571387415264231424 binary64)) (/.f64 (/.f64 y z) x) (if (<=.f64 x #s(literal 5000000000000000000000 binary64)) (/.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) (/.f64 y (*.f64 (/.f64 z (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) x)))) |
(if (<=.f64 x #s(literal 869410131688397/6210072369202835740595917953850010221027544068466786444556208152104203810745507545323513635314585911801950922788524292824686320176459257565777149100164724556817819904083399622201061142526393779301051996774865875003571387415264231424 binary64)) (/.f64 (/.f64 y z) x) (if (<=.f64 x #s(literal 4699999999999999798600983450103490561965931096866437278976390480137774882479957193728267911168 binary64)) (/.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) y)) z))) |
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) y)) z)) |
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) z)) |
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) (/.f64 #s(literal 1/24 binary64) z))) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) z) y)) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (/.f64 (/.f64 y z) x) (*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) z) y)) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (/.f64 (/.f64 y x) z) (*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) z) y)) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (/.f64 y (*.f64 x z)) (*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) z) y)) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (/.f64 y (*.f64 x z)) (*.f64 (*.f64 x y) (/.f64 #s(literal 1/2 binary64) z))) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (/.f64 y (*.f64 x z)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z))) |
(/.f64 y (*.f64 x z)) |
| Outputs |
|---|
(if (<=.f64 y #s(literal 2926428355520071/1361129467683753853853498429727072845824 binary64)) (/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z) (*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))) |
(if (<=.f64 y #s(literal 2926428355520071/1361129467683753853853498429727072845824 binary64)) (/.f64 (*.f64 y (/.f64 (cosh.f64 x) x)) z) (*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z))) |
(if (<=.f64 y #s(literal 2450033041830757/5444517870735015415413993718908291383296 binary64)) (/.f64 (*.f64 (*.f64 y (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))) (/.f64 #s(literal 1 binary64) x)) z) (*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))) |
(if (<=.f64 y #s(literal 2450033041830757/5444517870735015415413993718908291383296 binary64)) (/.f64 (*.f64 (*.f64 y (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))) (/.f64 #s(literal 1 binary64) x)) z) (*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z))) |
(if (<=.f64 y #s(literal 7129625917170701/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) (/.f64 (*.f64 (*.f64 y (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))) (/.f64 #s(literal 1 binary64) x)) z) (/.f64 (/.f64 (fma.f64 (*.f64 (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)) x) (*.f64 x y) y) z) x)) |
(if (<=.f64 y #s(literal 7129625917170701/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) (/.f64 (*.f64 (*.f64 y (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))) (/.f64 #s(literal 1 binary64) x)) z) (/.f64 (/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 y x) y) z) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 39999999999999997486138098493475056401093230239587493100825002713807698410740413528150307135276363386938195289179600132648448207361831475318456484960712247853539567853690159104 binary64)) (/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 y x)) z) (/.f64 (/.f64 (fma.f64 (*.f64 (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)) x) (*.f64 x y) y) z) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 39999999999999997486138098493475056401093230239587493100825002713807698410740413528150307135276363386938195289179600132648448207361831475318456484960712247853539567853690159104 binary64)) (/.f64 (*.f64 (/.f64 y x) (fma.f64 x (*.f64 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))) z) (/.f64 (/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/720 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) (*.f64 y x) y) z) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 9999999999999999595662034753429788238255624467393741467120915117996487670031669885400803025551745174706847878231119663145222863482996149222332143382301002459214758820269116923021527058285459686414683385913622455551313826420028155008403585629126369847605750170289266545852965785882018353801250996224 binary64)) (/.f64 (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 y x)) z) (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y) y) z) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 9999999999999999595662034753429788238255624467393741467120915117996487670031669885400803025551745174706847878231119663145222863482996149222332143382301002459214758820269116923021527058285459686414683385913622455551313826420028155008403585629126369847605750170289266545852965785882018353801250996224 binary64)) (/.f64 (*.f64 (/.f64 y x) (fma.f64 x (*.f64 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))) z) (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y) z) x)) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 500000000000000008608032298368227414415543912506619491164446008946190335622287523993960225937729797284303069430849145530155524612766474260348469402855720325061314257334714230178496312484014164775344612087642173365030358044414607127719847315059897273252756207808991071631335431459408181431059577374563631104 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) z) (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) y) y) z) x)) |
(if (<=.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) #s(literal 500000000000000008608032298368227414415543912506619491164446008946190335622287523993960225937729797284303069430849145530155524612766474260348469402855720325061314257334714230178496312484014164775344612087642173365030358044414607127719847315059897273252756207808991071631335431459408181431059577374563631104 binary64)) (/.f64 (*.f64 (/.f64 y x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/2 binary64)) (*.f64 y (*.f64 x x)) y) z) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 100000000000000 binary64)) (/.f64 (*.f64 y (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))) (*.f64 x z)) (/.f64 (/.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 39999999999999997486138098493475056401093230239587493100825002713807698410740413528150307135276363386938195289179600132648448207361831475318456484960712247853539567853690159104 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) z) (/.f64 (/.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 39999999999999997486138098493475056401093230239587493100825002713807698410740413528150307135276363386938195289179600132648448207361831475318456484960712247853539567853690159104 binary64)) (/.f64 (*.f64 (/.f64 y x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 (/.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) x)) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 20000000000000000323456785900191669561923454243064936219351155259210830706007157687226704499288107285763810660663679263023264344934985834790648308005091295168868698197129205191161878464985997761417827125414132937520722989422036627287210875071738030889333260550144 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 y x)) z) (/.f64 y (*.f64 (/.f64 z (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 20000000000000000323456785900191669561923454243064936219351155259210830706007157687226704499288107285763810660663679263023264344934985834790648308005091295168868698197129205191161878464985997761417827125414132937520722989422036627287210875071738030889333260550144 binary64)) (/.f64 (*.f64 (/.f64 y x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) z) (/.f64 y (*.f64 x (/.f64 z (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 20000000000000000323456785900191669561923454243064936219351155259210830706007157687226704499288107285763810660663679263023264344934985834790648308005091295168868698197129205191161878464985997761417827125414132937520722989422036627287210875071738030889333260550144 binary64)) (/.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)) z) (/.f64 y (*.f64 (/.f64 z (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) x))) |
(if (<=.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z) #s(literal 20000000000000000323456785900191669561923454243064936219351155259210830706007157687226704499288107285763810660663679263023264344934985834790648308005091295168868698197129205191161878464985997761417827125414132937520722989422036627287210875071738030889333260550144 binary64)) (/.f64 (fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)) z) (/.f64 y (*.f64 x (/.f64 z (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) |
(if (<=.f64 x #s(literal 869410131688397/6210072369202835740595917953850010221027544068466786444556208152104203810745507545323513635314585911801950922788524292824686320176459257565777149100164724556817819904083399622201061142526393779301051996774865875003571387415264231424 binary64)) (/.f64 (/.f64 y z) x) (if (<=.f64 x #s(literal 5000000000000000000000 binary64)) (/.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) (/.f64 y (*.f64 (/.f64 z (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) x)))) |
(if (<=.f64 x #s(literal 869410131688397/6210072369202835740595917953850010221027544068466786444556208152104203810745507545323513635314585911801950922788524292824686320176459257565777149100164724556817819904083399622201061142526393779301051996774865875003571387415264231424 binary64)) (/.f64 (/.f64 y z) x) (if (<=.f64 x #s(literal 5000000000000000000000 binary64)) (/.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) (/.f64 y (*.f64 x (/.f64 z (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))))) |
(if (<=.f64 x #s(literal 869410131688397/6210072369202835740595917953850010221027544068466786444556208152104203810745507545323513635314585911801950922788524292824686320176459257565777149100164724556817819904083399622201061142526393779301051996774865875003571387415264231424 binary64)) (/.f64 (/.f64 y z) x) (if (<=.f64 x #s(literal 4699999999999999798600983450103490561965931096866437278976390480137774882479957193728267911168 binary64)) (/.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) y)) z))) |
(if (<=.f64 x #s(literal 869410131688397/6210072369202835740595917953850010221027544068466786444556208152104203810745507545323513635314585911801950922788524292824686320176459257565777149100164724556817819904083399622201061142526393779301051996774865875003571387415264231424 binary64)) (/.f64 (/.f64 y z) x) (if (<=.f64 x #s(literal 4699999999999999798600983450103490561965931096866437278976390480137774882479957193728267911168 binary64)) (/.f64 (*.f64 y (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x z)) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) z))) |
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) y)) z)) |
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 x (*.f64 x x)))) z)) |
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) z)) |
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x y))) (/.f64 #s(literal 1/24 binary64) z))) |
(if (<=.f64 x #s(literal 2476979795053773/1125899906842624 binary64)) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (*.f64 x (*.f64 y x))) (/.f64 #s(literal 1/24 binary64) z))) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) z) y)) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x)) (*.f64 y (/.f64 (*.f64 x #s(literal 1/2 binary64)) z))) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (/.f64 (/.f64 y z) x) (*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) z) y)) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (/.f64 (/.f64 y z) x) (*.f64 y (/.f64 (*.f64 x #s(literal 1/2 binary64)) z))) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (/.f64 (/.f64 y x) z) (*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) z) y)) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (/.f64 (/.f64 y x) z) (*.f64 y (/.f64 (*.f64 x #s(literal 1/2 binary64)) z))) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (/.f64 y (*.f64 x z)) (*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) z) y)) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (/.f64 y (*.f64 x z)) (*.f64 y (/.f64 (*.f64 x #s(literal 1/2 binary64)) z))) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (/.f64 y (*.f64 x z)) (*.f64 (*.f64 x y) (/.f64 #s(literal 1/2 binary64) z))) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (/.f64 y (*.f64 x z)) (*.f64 (*.f64 y x) (/.f64 #s(literal 1/2 binary64) z))) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (/.f64 y (*.f64 x z)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y z))) |
(if (<=.f64 x #s(literal 3152519739159347/2251799813685248 binary64)) (/.f64 y (*.f64 x z)) (*.f64 (/.f64 y z) (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 y (*.f64 x z)) |
| 21 860× | lower-fma.f64 |
| 21 860× | lower-fma.f32 |
| 16 836× | lower-fma.f64 |
| 16 836× | lower-fma.f32 |
| 16 526× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 259 | 5306 |
| 1 | 875 | 5246 |
| 2 | 2907 | 5080 |
| 3 | 7043 | 5074 |
| 0 | 8476 | 4733 |
| 0 | 29 | 195 |
| 0 | 57 | 195 |
| 1 | 235 | 195 |
| 2 | 1849 | 195 |
| 0 | 8183 | 195 |
| 0 | 188 | 5364 |
| 1 | 583 | 5310 |
| 2 | 1778 | 5164 |
| 3 | 5254 | 5152 |
| 0 | 8207 | 4863 |
| 0 | 234 | 6002 |
| 1 | 781 | 5996 |
| 2 | 2570 | 5750 |
| 3 | 6422 | 5736 |
| 0 | 8243 | 5253 |
| 0 | 31 | 232 |
| 0 | 61 | 226 |
| 1 | 262 | 224 |
| 2 | 2056 | 224 |
| 0 | 8203 | 224 |
| 0 | 34 | 251 |
| 0 | 64 | 251 |
| 1 | 229 | 224 |
| 2 | 1490 | 205 |
| 0 | 8291 | 205 |
| 0 | 70 | 1004 |
| 1 | 201 | 1000 |
| 2 | 599 | 988 |
| 3 | 1416 | 982 |
| 4 | 2110 | 982 |
| 5 | 2777 | 980 |
| 6 | 3318 | 980 |
| 7 | 4807 | 976 |
| 8 | 5464 | 976 |
| 9 | 5934 | 976 |
| 10 | 6466 | 976 |
| 11 | 7754 | 976 |
| 0 | 8037 | 958 |
| 0 | 7 | 19 |
| 0 | 11 | 19 |
| 1 | 36 | 19 |
| 2 | 208 | 19 |
| 3 | 2161 | 19 |
| 0 | 8571 | 19 |
| 1× | fuel |
| 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× | 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 |
Compiled 2 039 to 1 003 computations (50.8% saved)
(negabs x)
(negabs z)
Compiled 1 672 to 408 computations (75.6% saved)
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