
Time bar (total: 10.5s)
| 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 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 7 |
| 43.8% | 43.7% | 56.2% | 0.1% | 0% | 0% | 0% | 8 |
| 43.8% | 43.7% | 56.2% | 0.1% | 0% | 0% | 0% | 9 |
| 46.9% | 46.8% | 53.1% | 0.1% | 0% | 0% | 0% | 10 |
| 46.9% | 46.8% | 53.1% | 0.1% | 0% | 0% | 0% | 11 |
| 48.4% | 48.4% | 51.5% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 14 to 12 computations (14.3% saved)
| 797.0ms | 8 256× | 0 | valid |
ival-tan: 184.0ms (29.5% of total)ival-sin: 161.0ms (25.8% of total)ival-div: 134.0ms (21.5% of total)ival-mult: 55.0ms (8.8% of total)ival-add: 39.0ms (6.3% of total)ival-neg: 36.0ms (5.8% of total)ival-true: 6.0ms (1% of total)exact: 5.0ms (0.8% of total)ival-assert: 3.0ms (0.5% of total)| 1× | egg-herbie |
| 176× | lower-fma.f64 |
| 176× | lower-fma.f32 |
| 128× | lower-*.f32 |
| 126× | lower-*.f64 |
| 106× | distribute-lft-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 68 |
| 1 | 77 | 46 |
| 2 | 212 | 45 |
| 3 | 409 | 45 |
| 4 | 621 | 45 |
| 5 | 763 | 45 |
| 6 | 837 | 45 |
| 7 | 858 | 45 |
| 8 | 860 | 45 |
| 0 | 10 | 12 |
| 0 | 17 | 12 |
| 1 | 30 | 9 |
| 2 | 57 | 9 |
| 3 | 90 | 9 |
| 4 | 128 | 9 |
| 5 | 185 | 9 |
| 6 | 220 | 9 |
| 7 | 279 | 9 |
| 8 | 310 | 9 |
| 9 | 337 | 9 |
| 10 | 347 | 9 |
| 0 | 347 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| Outputs |
|---|
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(negabs B)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 256 | 0 | - | 256 | (2.7812683135669242e+287 3.329103110647389e-91) | (tan.f64 B) |
| 256 | 0 | - | 256 | (2.7812683135669242e+287 3.329103110647389e-91) | (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
| 256 | 0 | - | 256 | (2.7812683135669242e+287 3.329103110647389e-91) | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
| 256 | 0 | - | 256 | (2.7812683135669242e+287 3.329103110647389e-91) | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 131 | 0 | - | 131 | (2.7812683135669242e+287 3.329103110647389e-91) | (sin.f64 B) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (sin.f64 B)) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (tan.f64 B)) |
| 0 | 0 | - | 0 | - | B |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 54.0ms | 512× | 0 | valid |
Compiled 154 to 54 computations (64.9% saved)
ival-sin: 11.0ms (29.2% of total)ival-tan: 10.0ms (26.5% of total)ival-div: 7.0ms (18.6% of total)ival-add: 3.0ms (8% of total)ival-mult: 3.0ms (8% of total)ival-neg: 2.0ms (5.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
Compiled 14 to 10 computations (28.6% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (tan.f64 B)) |
| ✓ | cost-diff | 0 | (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
| ✓ | cost-diff | 128 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| ✓ | cost-diff | 320 | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
| 176× | lower-fma.f64 |
| 176× | lower-fma.f32 |
| 128× | lower-*.f32 |
| 126× | lower-*.f64 |
| 64× | lower--.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 40 |
| 0 | 17 | 40 |
| 1 | 30 | 33 |
| 2 | 57 | 33 |
| 3 | 90 | 33 |
| 4 | 128 | 33 |
| 5 | 185 | 33 |
| 6 | 220 | 33 |
| 7 | 279 | 33 |
| 8 | 310 | 33 |
| 9 | 337 | 33 |
| 10 | 347 | 33 |
| 0 | 347 | 33 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
x |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
#s(literal 1 binary64) |
(tan.f64 B) |
B |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(sin.f64 B) |
| Outputs |
|---|
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
(neg.f64 (/.f64 x (tan.f64 B))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(/.f64 x (tan.f64 B)) |
x |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
#s(literal 1 binary64) |
(tan.f64 B) |
B |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(sin.f64 B) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 7.3% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| ✓ | accuracy | 3.8% | (tan.f64 B) |
| ✓ | accuracy | 3.5% | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
| ✓ | accuracy | 3.3% | (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
| 27.0ms | 256× | 0 | valid |
Compiled 84 to 22 computations (73.8% saved)
ival-sin: 5.0ms (25.9% of total)ival-tan: 5.0ms (25.9% of total)ival-div: 3.0ms (15.5% of total)ival-mult: 3.0ms (15.5% of total)ival-add: 1.0ms (5.2% of total)ival-neg: 1.0ms (5.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))> |
#<alt (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))> |
#<alt (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))> |
#<alt (/.f64 #s(literal 1 binary64) (tan.f64 B))> |
#<alt (tan.f64 B)> |
| Outputs |
|---|
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ x B)> |
#<alt (/ (+ x (* -1/3 (* (pow B 2) x))) B)> |
#<alt (/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)> |
#<alt (/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ 1 (sin B))> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))> |
#<alt (* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))> |
#<alt (* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))> |
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))> |
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))> |
#<alt (/ (- 1 x) B)> |
#<alt (/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)> |
#<alt (/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B)> |
#<alt (/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)> |
#<alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))> |
#<alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))> |
#<alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))> |
#<alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))> |
#<alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))> |
#<alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))> |
#<alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))> |
#<alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ x B))> |
#<alt (/ (- (* 1/3 (* (pow B 2) x)) x) B)> |
#<alt (/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B)> |
#<alt (/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))) x) B)> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (/ 1 B)> |
#<alt (/ (+ 1 (* -1/3 (pow B 2))) B)> |
#<alt (/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B)> |
#<alt (/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B)> |
#<alt (/ (cos B) (sin B))> |
#<alt (/ (cos B) (sin B))> |
#<alt (/ (cos B) (sin B))> |
#<alt (/ (cos B) (sin B))> |
#<alt (/ (cos B) (sin B))> |
#<alt (/ (cos B) (sin B))> |
#<alt (/ (cos B) (sin B))> |
#<alt (/ (cos B) (sin B))> |
#<alt B> |
#<alt (* B (+ 1 (* 1/3 (pow B 2))))> |
#<alt (* B (+ 1 (* (pow B 2) (+ 1/3 (* 2/15 (pow B 2))))))> |
#<alt (* B (+ 1 (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 2/15 (* 17/315 (pow B 2))))))))> |
#<alt (/ (sin B) (cos B))> |
#<alt (/ (sin B) (cos B))> |
#<alt (/ (sin B) (cos B))> |
#<alt (/ (sin B) (cos B))> |
#<alt (/ (sin B) (cos B))> |
#<alt (/ (sin B) (cos B))> |
#<alt (/ (sin B) (cos B))> |
#<alt (/ (sin B) (cos B))> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (* x (/ 1 (tan B))) |
| 2.0ms | x | @ | inf | (* x (/ 1 (tan B))) |
| 2.0ms | B | @ | inf | (* x (/ 1 (tan B))) |
| 1.0ms | x | @ | -inf | (* x (/ 1 (tan B))) |
| 1.0ms | x | @ | -inf | (neg (* x (/ 1 (tan B)))) |
Compiled 203 to 147 computations (27.6% saved)
| 1× | batch-egg-rewrite |
| 3 432× | lower-fma.f64 |
| 3 432× | lower-fma.f32 |
| 2 550× | lower-*.f32 |
| 2 548× | lower-*.f64 |
| 1 498× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 31 |
| 0 | 17 | 24 |
| 1 | 59 | 23 |
| 2 | 376 | 23 |
| 3 | 4328 | 23 |
| 0 | 8975 | 23 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
(tan.f64 B) |
| Outputs |
|---|
(+.f64 (/.f64 x (tan.f64 B)) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))) |
(exp.f64 (log.f64 (/.f64 x (tan.f64 B)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (tan.f64 B))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 B) x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(literal 0 binary64) (tan.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))) (/.f64 x (tan.f64 B))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (tan.f64 B)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) x #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 (neg.f64 x)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (exp.f64 (log.f64 (neg.f64 x))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (exp.f64 (log.f64 x)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x (tan.f64 B)) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x (tan.f64 B)) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x (tan.f64 B)) (exp.f64 (log.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 B))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) x) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) (neg.f64 x)) #s(literal 0 binary64)) |
(fma.f64 (cos.f64 B) (/.f64 x (sin.f64 B)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 x (tan.f64 B)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 (tan.f64 B) x) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 (tan.f64 B) x) #s(literal -3 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) x) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x (sin.f64 B)) (cos.f64 B) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 B))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x (sin.f64 B)) (*.f64 (cos.f64 B) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (/.f64 x (sin.f64 B))) (cos.f64 B) #s(literal 0 binary64)) |
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(*.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (cos.f64 B)) |
(*.f64 (*.f64 (neg.f64 x) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 (neg.f64 x)) (sin.f64 B)) (cos.f64 B)) |
(*.f64 (/.f64 (neg.f64 (neg.f64 x)) (sin.f64 B)) (neg.f64 (cos.f64 B))) |
(*.f64 (exp.f64 (log.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(*.f64 (exp.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 x (tan.f64 B))) |
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(exp.f64 (neg.f64 (log.f64 (tan.f64 B)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 B) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 B)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 (tan.f64 B)) #s(literal -1/2 binary64) (*.f64 (log.f64 (tan.f64 B)) #s(literal -1/2 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
(/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B))) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/.f64 #s(literal -1 binary64) (tan.f64 B)) |
(/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 B)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(pow.f64 (tan.f64 B) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (tan.f64 B) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (tan.f64 B))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (cos.f64 B)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (neg.f64 (cos.f64 B))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) |
(*.f64 (cos.f64 B) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (cos.f64 B))) |
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (cos.f64 B) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(*.f64 (neg.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) |
(+.f64 #s(literal 0 binary64) (tan.f64 B)) |
(exp.f64 (log.f64 (tan.f64 B))) |
(exp.f64 (*.f64 (log.f64 (tan.f64 B)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 B))) #s(literal -1 binary64))) |
(tan.f64 B) |
(-.f64 #s(literal 0 binary64) (tan.f64 B)) |
(-.f64 (/.f64 #s(literal 0 binary64) (cos.f64 B)) (tan.f64 B)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 B))) (tan.f64 B)) |
(neg.f64 (tan.f64 B)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(/.f64 (tan.f64 B) #s(literal 1 binary64)) |
(/.f64 (tan.f64 B) #s(literal -1 binary64)) |
(/.f64 (tan.f64 B) (exp.f64 (log.f64 #s(literal -1 binary64)))) |
(/.f64 (sin.f64 B) (cos.f64 B)) |
(/.f64 (sin.f64 B) (neg.f64 (cos.f64 B))) |
(/.f64 (sin.f64 B) (neg.f64 (neg.f64 (cos.f64 B)))) |
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) #s(literal -1 binary64))) |
(/.f64 (sin.f64 B) (*.f64 (neg.f64 (cos.f64 B)) #s(literal 1 binary64))) |
(/.f64 (sin.f64 B) (*.f64 (neg.f64 (cos.f64 B)) #s(literal -1 binary64))) |
(/.f64 (sin.f64 B) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 B)))) |
(/.f64 (sin.f64 B) (*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 B)))) |
(/.f64 (sin.f64 B) (exp.f64 (log.f64 (cos.f64 B)))) |
(/.f64 (sin.f64 B) (exp.f64 (log.f64 (neg.f64 (cos.f64 B))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (tan.f64 B) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (tan.f64 B))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal 2 binary64))) (tan.f64 B)) |
(/.f64 (pow.f64 (tan.f64 B) #s(literal 1/2 binary64)) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) |
(pow.f64 (tan.f64 B) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (tan.f64 B) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (tan.f64 B)) |
(*.f64 (tan.f64 B) #s(literal 1 binary64)) |
(*.f64 (tan.f64 B) #s(literal -1 binary64)) |
(*.f64 (sin.f64 B) (/.f64 #s(literal 1 binary64) (cos.f64 B))) |
(*.f64 (sin.f64 B) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) #s(literal 1 binary64))) |
(*.f64 (sin.f64 B) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 B)))) |
(*.f64 (sin.f64 B) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)))) |
(*.f64 (sin.f64 B) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) #s(literal 1 binary64))) |
(*.f64 (sin.f64 B) (exp.f64 (neg.f64 (log.f64 (cos.f64 B))))) |
(*.f64 #s(literal -1 binary64) (tan.f64 B)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) (sin.f64 B)) |
| 1× | egg-herbie |
| 23 696× | lower-fma.f64 |
| 23 696× | lower-fma.f32 |
| 4 532× | lower-*.f64 |
| 4 532× | lower-*.f32 |
| 3 510× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 136 | 919 |
| 1 | 387 | 912 |
| 2 | 1328 | 888 |
| 3 | 5247 | 879 |
| 0 | 8022 | 846 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ x B) |
(/ (+ x (* -1/3 (* (pow B 2) x))) B) |
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ 1 (sin B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(/ (- 1 x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ x B)) |
(/ (- (* 1/3 (* (pow B 2) x)) x) B) |
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B) |
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))) x) B) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/ 1 B) |
(/ (+ 1 (* -1/3 (pow B 2))) B) |
(/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B) |
(/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
B |
(* B (+ 1 (* 1/3 (pow B 2)))) |
(* B (+ 1 (* (pow B 2) (+ 1/3 (* 2/15 (pow B 2)))))) |
(* B (+ 1 (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 2/15 (* 17/315 (pow B 2)))))))) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
| Outputs |
|---|
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ x B) |
(/.f64 x B) |
(/ (+ x (* -1/3 (* (pow B 2) x))) B) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 B B)) x) B) |
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/.f64 (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 B (*.f64 B #s(literal -1/45 binary64)) #s(literal -1/3 binary64))) x) B) |
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 (*.f64 x (*.f64 B B)) #s(literal -2/945 binary64) (*.f64 x #s(literal -1/45 binary64)))) (*.f64 x #s(literal -1/3 binary64))) x) B) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/ (- 1 x) B) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ x B)) |
(neg.f64 (/.f64 x B)) |
(/ (- (* 1/3 (* (pow B 2) x)) x) B) |
(-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x B)) (/.f64 x B)) |
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B) |
(-.f64 (*.f64 B (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))) (/.f64 x B)) |
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))) x) B) |
(fma.f64 B (fma.f64 B (*.f64 B (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 x #s(literal 1/45 binary64)))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 (/.f64 x B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(/ 1 B) |
(/.f64 #s(literal 1 binary64) B) |
(/ (+ 1 (* -1/3 (pow B 2))) B) |
(/.f64 (fma.f64 B (*.f64 B #s(literal -1/3 binary64)) #s(literal 1 binary64)) B) |
(/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal -1/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) B) |
(/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal -2/945 binary64) #s(literal -1/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) B) |
(/ (cos B) (sin B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/ (cos B) (sin B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/ (cos B) (sin B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/ (cos B) (sin B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/ (cos B) (sin B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/ (cos B) (sin B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/ (cos B) (sin B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/ (cos B) (sin B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
B |
(* B (+ 1 (* 1/3 (pow B 2)))) |
(fma.f64 (*.f64 B B) (*.f64 B #s(literal 1/3 binary64)) B) |
(* B (+ 1 (* (pow B 2) (+ 1/3 (* 2/15 (pow B 2)))))) |
(fma.f64 (*.f64 B B) (*.f64 B (fma.f64 (*.f64 B B) #s(literal 2/15 binary64) #s(literal 1/3 binary64))) B) |
(* B (+ 1 (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 2/15 (* 17/315 (pow B 2)))))))) |
(fma.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 B (*.f64 B B)) B) |
(/ (sin B) (cos B)) |
(/.f64 (sin.f64 B) (cos.f64 B)) |
(/ (sin B) (cos B)) |
(/.f64 (sin.f64 B) (cos.f64 B)) |
(/ (sin B) (cos B)) |
(/.f64 (sin.f64 B) (cos.f64 B)) |
(/ (sin B) (cos B)) |
(/.f64 (sin.f64 B) (cos.f64 B)) |
(/ (sin B) (cos B)) |
(/.f64 (sin.f64 B) (cos.f64 B)) |
(/ (sin B) (cos B)) |
(/.f64 (sin.f64 B) (cos.f64 B)) |
(/ (sin B) (cos B)) |
(/.f64 (sin.f64 B) (cos.f64 B)) |
(/ (sin B) (cos B)) |
(/.f64 (sin.f64 B) (cos.f64 B)) |
Compiled 9 612 to 1 364 computations (85.8% saved)
22 alts after pruning (22 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 534 | 22 | 556 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 535 | 22 | 557 |
| Status | Accuracy | Program |
|---|---|---|
| 37.6% | (fma.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (/.f64 x (tan.f64 B))) | |
| 99.7% | (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| ▶ | 99.7% | (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 51.2% | (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) | |
| 85.5% | (/.f64 (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) (*.f64 (tan.f64 B) (sin.f64 B))) | |
| 38.0% | (/.f64 (fma.f64 x (sin.f64 B) (tan.f64 B)) (*.f64 (tan.f64 B) (sin.f64 B))) | |
| 51.2% | (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) | |
| 51.2% | (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B) | |
| 88.4% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x)) (sin.f64 B)) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x))) | |
| ▶ | 51.2% | (/.f64 (-.f64 #s(literal 1 binary64) x) B) |
| 29.3% | (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 4 binary64)) (pow.f64 (sin.f64 B) #s(literal -4 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(literal 3 binary64))) | |
| 49.4% | (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) | |
| 51.6% | (/.f64 #s(literal 1 binary64) (sin.f64 B)) | |
| 41.2% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))))) (/.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))))) | |
| ▶ | 99.8% | (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| 99.7% | (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| 63.2% | (+.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x B)) (/.f64 x B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| ▶ | 75.2% | (+.f64 (neg.f64 (/.f64 x B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| ▶ | 76.7% | (+.f64 (neg.f64 (*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 60.8% | (+.f64 (neg.f64 (*.f64 x (/.f64 (fma.f64 B (*.f64 B #s(literal -1/3 binary64)) #s(literal 1 binary64)) B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| 99.7% | (+.f64 (neg.f64 (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| 75.2% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
Compiled 726 to 462 computations (36.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (neg.f64 (*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 128 | (+.f64 (neg.f64 (*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| ✓ | cost-diff | 320 | (*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
| ✓ | cost-diff | 12224 | (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (neg.f64 x) |
| ✓ | cost-diff | 0 | (tan.f64 B) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (tan.f64 B)) |
| ✓ | cost-diff | 320 | (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sin.f64 B)) |
| ✓ | cost-diff | 0 | (/.f64 x B) |
| ✓ | cost-diff | 0 | (neg.f64 (/.f64 x B)) |
| ✓ | cost-diff | 128 | (+.f64 (neg.f64 (/.f64 x B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) B) |
| ✓ | cost-diff | 0 | (/.f64 x (tan.f64 B)) |
| ✓ | cost-diff | 0 | (sin.f64 B) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sin.f64 B)) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| 504× | lower-fma.f32 |
| 502× | lower-fma.f64 |
| 328× | lower-*.f32 |
| 326× | lower-*.f64 |
| 152× | lower-+.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 142 |
| 0 | 42 | 129 |
| 1 | 72 | 126 |
| 2 | 133 | 124 |
| 3 | 250 | 124 |
| 4 | 376 | 124 |
| 5 | 534 | 124 |
| 6 | 678 | 124 |
| 7 | 816 | 124 |
| 8 | 911 | 124 |
| 9 | 975 | 124 |
| 10 | 985 | 124 |
| 0 | 985 | 124 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
#s(literal 1 binary64) |
(sin.f64 B) |
B |
(/.f64 x (tan.f64 B)) |
x |
(tan.f64 B) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
B |
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(neg.f64 (/.f64 x B)) |
(/.f64 x B) |
x |
B |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
#s(literal 1 binary64) |
(sin.f64 B) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
#s(literal 1 binary64) |
(tan.f64 B) |
B |
(neg.f64 x) |
x |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(sin.f64 B) |
(+.f64 (neg.f64 (*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(neg.f64 (*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
(*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
x |
(pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) |
(tan.f64 B) |
B |
#s(literal -1/2 binary64) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
#s(literal 1 binary64) |
(sin.f64 B) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
#s(literal 1 binary64) |
(sin.f64 B) |
B |
(/.f64 x (tan.f64 B)) |
x |
(tan.f64 B) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
B |
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x B)) |
(neg.f64 (/.f64 x B)) |
(/.f64 (neg.f64 x) B) |
(/.f64 x B) |
x |
B |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
#s(literal 1 binary64) |
(sin.f64 B) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
#s(literal 1 binary64) |
(tan.f64 B) |
B |
(neg.f64 x) |
x |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(sin.f64 B) |
(+.f64 (neg.f64 (*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(neg.f64 (*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 x) (tan.f64 B)) |
(*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(/.f64 x (tan.f64 B)) |
x |
(pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
(pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) |
(tan.f64 B) |
B |
#s(literal -1/2 binary64) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
#s(literal 1 binary64) |
(sin.f64 B) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 26.7% | (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 25.9% | (/.f64 #s(literal 1 binary64) (sin.f64 B)) |
| ✓ | accuracy | 25.4% | (*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
| ✓ | accuracy | 25.4% | (tan.f64 B) |
| ✓ | accuracy | 27.5% | (neg.f64 x) |
| ✓ | accuracy | 25.9% | (/.f64 #s(literal 1 binary64) (sin.f64 B)) |
| ✓ | accuracy | 25.4% | (tan.f64 B) |
| ✓ | accuracy | 24.7% | (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| ✓ | accuracy | 25.9% | (/.f64 #s(literal 1 binary64) (sin.f64 B)) |
| ✓ | accuracy | 25.6% | (/.f64 x B) |
| ✓ | accuracy | 25.4% | (+.f64 (neg.f64 (/.f64 x B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| ✓ | accuracy | 24.6% | (neg.f64 (/.f64 x B)) |
| ✓ | accuracy | 27.4% | (/.f64 (-.f64 #s(literal 1 binary64) x) B) |
| ✓ | accuracy | 27.4% | (-.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 31.0% | (/.f64 x (tan.f64 B)) |
| ✓ | accuracy | 26.4% | (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| ✓ | accuracy | 25.9% | (/.f64 #s(literal 1 binary64) (sin.f64 B)) |
| ✓ | accuracy | 25.4% | (tan.f64 B) |
| 47.0ms | 197× | 0 | valid |
| 14.0ms | 59× | 0 | invalid |
Compiled 289 to 49 computations (83% saved)
ival-sin: 12.0ms (27.9% of total)ival-div: 8.0ms (18.6% of total)ival-tan: 5.0ms (11.6% of total)ival-pow: 4.0ms (9.3% of total)ival-add: 3.0ms (7% of total)ival-mult: 3.0ms (7% of total)ival-neg: 3.0ms (7% of total)ival-sub: 2.0ms (4.7% of total)ival-pow2: 2.0ms (4.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))> |
#<alt (/.f64 #s(literal 1 binary64) (sin.f64 B))> |
#<alt (sin.f64 B)> |
#<alt (/.f64 x (tan.f64 B))> |
#<alt (/.f64 (-.f64 #s(literal 1 binary64) x) B)> |
#<alt (-.f64 #s(literal 1 binary64) x)> |
#<alt (+.f64 (neg.f64 (/.f64 x B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))> |
#<alt (neg.f64 (/.f64 x B))> |
#<alt (/.f64 x B)> |
#<alt (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B)))> |
#<alt (/.f64 #s(literal 1 binary64) (tan.f64 B))> |
#<alt (tan.f64 B)> |
#<alt (neg.f64 x)> |
#<alt (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))> |
#<alt (*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))> |
#<alt (+.f64 (neg.f64 (*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))> |
#<alt (neg.f64 (*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))))> |
#<alt (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))> |
| Outputs |
|---|
#<alt (* 1/2 B)> |
#<alt (* B (+ 1/2 (* 1/24 (pow B 2))))> |
#<alt (* B (+ 1/2 (* (pow B 2) (+ 1/24 (* 1/240 (pow B 2))))))> |
#<alt (* B (+ 1/2 (* (pow B 2) (+ 1/24 (* (pow B 2) (+ 1/240 (* 17/40320 (pow B 2))))))))> |
#<alt (- (/ 1 (sin B)) (/ (cos B) (sin B)))> |
#<alt (- (/ 1 (sin B)) (/ (cos B) (sin B)))> |
#<alt (- (/ 1 (sin B)) (/ (cos B) (sin B)))> |
#<alt (- (/ 1 (sin B)) (/ (cos B) (sin B)))> |
#<alt (- (/ 1 (sin B)) (/ (cos B) (sin B)))> |
#<alt (- (/ 1 (sin B)) (/ (cos B) (sin B)))> |
#<alt (- (/ 1 (sin B)) (/ (cos B) (sin B)))> |
#<alt (- (/ 1 (sin B)) (/ (cos B) (sin B)))> |
#<alt (- (/ 1 (sin B)) (/ (cos B) (sin B)))> |
#<alt (- (/ 1 (sin B)) (/ (cos B) (sin B)))> |
#<alt (- (/ 1 (sin B)) (/ (cos B) (sin B)))> |
#<alt (- (/ 1 (sin B)) (/ (cos B) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))> |
#<alt (* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))> |
#<alt (* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))> |
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))> |
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))> |
#<alt (/ 1 B)> |
#<alt (/ (+ 1 (* 1/6 (pow B 2))) B)> |
#<alt (/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B)> |
#<alt (/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B)> |
#<alt (/ 1 (sin B))> |
#<alt (/ 1 (sin B))> |
#<alt (/ 1 (sin B))> |
#<alt (/ 1 (sin B))> |
#<alt (/ 1 (sin B))> |
#<alt (/ 1 (sin B))> |
#<alt (/ 1 (sin B))> |
#<alt (/ 1 (sin B))> |
#<alt B> |
#<alt (* B (+ 1 (* -1/6 (pow B 2))))> |
#<alt (* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6))))> |
#<alt (* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6))))> |
#<alt (sin B)> |
#<alt (sin B)> |
#<alt (sin B)> |
#<alt (sin B)> |
#<alt (sin B)> |
#<alt (sin B)> |
#<alt (sin B)> |
#<alt (sin B)> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ x B)> |
#<alt (/ (+ x (* -1/3 (* (pow B 2) x))) B)> |
#<alt (/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)> |
#<alt (/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ 1 B)> |
#<alt (+ (* -1 (/ x B)) (/ 1 B))> |
#<alt (+ (* -1 (/ x B)) (/ 1 B))> |
#<alt (+ (* -1 (/ x B)) (/ 1 B))> |
#<alt (* -1 (/ x B))> |
#<alt (* x (- (/ 1 (* B x)) (/ 1 B)))> |
#<alt (* x (- (/ 1 (* B x)) (/ 1 B)))> |
#<alt (* x (- (/ 1 (* B x)) (/ 1 B)))> |
#<alt (* -1 (/ x B))> |
#<alt (* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))> |
#<alt (* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))> |
#<alt (* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))> |
#<alt (/ (- 1 x) B)> |
#<alt (/ (- 1 x) B)> |
#<alt (/ (- 1 x) B)> |
#<alt (/ (- 1 x) B)> |
#<alt (/ (- 1 x) B)> |
#<alt (/ (- 1 x) B)> |
#<alt (/ (- 1 x) B)> |
#<alt (/ (- 1 x) B)> |
#<alt (/ (- 1 x) B)> |
#<alt (/ (- 1 x) B)> |
#<alt (/ (- 1 x) B)> |
#<alt (/ (- 1 x) B)> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (/ 1 (sin B))> |
#<alt (+ (* -1 (/ x B)) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ x B)) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ x B)) (/ 1 (sin B)))> |
#<alt (* -1 (/ x B))> |
#<alt (* x (- (/ 1 (* x (sin B))) (/ 1 B)))> |
#<alt (* x (- (/ 1 (* x (sin B))) (/ 1 B)))> |
#<alt (* x (- (/ 1 (* x (sin B))) (/ 1 B)))> |
#<alt (* -1 (/ x B))> |
#<alt (* -1 (* x (- (/ 1 B) (/ 1 (* x (sin B))))))> |
#<alt (* -1 (* x (- (/ 1 B) (/ 1 (* x (sin B))))))> |
#<alt (* -1 (* x (- (/ 1 B) (/ 1 (* x (sin B))))))> |
#<alt (/ (- 1 x) B)> |
#<alt (/ (- (+ 1 (* 1/6 (pow B 2))) x) B)> |
#<alt (/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) x) B)> |
#<alt (/ (- (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) x) B)> |
#<alt (/ 1 (sin B))> |
#<alt (+ (* -1 (/ x B)) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ x B)) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ x B)) (/ 1 (sin B)))> |
#<alt (/ 1 (sin B))> |
#<alt (+ (* -1 (/ x B)) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ x B)) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ x B)) (/ 1 (sin B)))> |
#<alt (* -1 (/ x B))> |
#<alt (* -1 (/ x B))> |
#<alt (* -1 (/ x B))> |
#<alt (* -1 (/ x B))> |
#<alt (* -1 (/ x B))> |
#<alt (* -1 (/ x B))> |
#<alt (* -1 (/ x B))> |
#<alt (* -1 (/ x B))> |
#<alt (* -1 (/ x B))> |
#<alt (* -1 (/ x B))> |
#<alt (* -1 (/ x B))> |
#<alt (* -1 (/ x B))> |
#<alt (* -1 (/ x B))> |
#<alt (* -1 (/ x B))> |
#<alt (* -1 (/ x B))> |
#<alt (* -1 (/ x B))> |
#<alt (* -1 (/ x B))> |
#<alt (* -1 (/ x B))> |
#<alt (* -1 (/ x B))> |
#<alt (* -1 (/ x B))> |
#<alt (* -1 (/ x B))> |
#<alt (* -1 (/ x B))> |
#<alt (* -1 (/ x B))> |
#<alt (* -1 (/ x B))> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (* 1/2 B)> |
#<alt (* B (+ 1/2 (* 1/24 (pow B 2))))> |
#<alt (* B (+ 1/2 (* (pow B 2) (+ 1/24 (* 1/240 (pow B 2))))))> |
#<alt (* B (+ 1/2 (* (pow B 2) (+ 1/24 (* (pow B 2) (+ 1/240 (* 17/40320 (pow B 2))))))))> |
#<alt (+ (* -1 (/ (cos B) (sin B))) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ (cos B) (sin B))) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ (cos B) (sin B))) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ (cos B) (sin B))) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ (cos B) (sin B))) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ (cos B) (sin B))) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ (cos B) (sin B))) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ (cos B) (sin B))) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ (cos B) (sin B))) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ (cos B) (sin B))) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ (cos B) (sin B))) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ (cos B) (sin B))) (/ 1 (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))> |
#<alt (* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))> |
#<alt (* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))> |
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))> |
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))> |
#<alt (/ 1 B)> |
#<alt (/ (+ 1 (* -1/3 (pow B 2))) B)> |
#<alt (/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B)> |
#<alt (/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B)> |
#<alt (/ (cos B) (sin B))> |
#<alt (/ (cos B) (sin B))> |
#<alt (/ (cos B) (sin B))> |
#<alt (/ (cos B) (sin B))> |
#<alt (/ (cos B) (sin B))> |
#<alt (/ (cos B) (sin B))> |
#<alt (/ (cos B) (sin B))> |
#<alt (/ (cos B) (sin B))> |
#<alt B> |
#<alt (* B (+ 1 (* 1/3 (pow B 2))))> |
#<alt (* B (+ 1 (* (pow B 2) (+ 1/3 (* 2/15 (pow B 2))))))> |
#<alt (* B (+ 1 (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 2/15 (* 17/315 (pow B 2))))))))> |
#<alt (/ (sin B) (cos B))> |
#<alt (/ (sin B) (cos B))> |
#<alt (/ (sin B) (cos B))> |
#<alt (/ (sin B) (cos B))> |
#<alt (/ (sin B) (cos B))> |
#<alt (/ (sin B) (cos B))> |
#<alt (/ (sin B) (cos B))> |
#<alt (/ (sin B) (cos B))> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (/ 1 B)> |
#<alt (/ (+ 1 (* -1/3 (pow B 2))) B)> |
#<alt (/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B)> |
#<alt (/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B)> |
#<alt (/ (cos B) (sin B))> |
#<alt (/ (cos B) (sin B))> |
#<alt (/ (cos B) (sin B))> |
#<alt (/ (cos B) (sin B))> |
#<alt (/ (cos B) (sin B))> |
#<alt (/ (cos B) (sin B))> |
#<alt (/ (cos B) (sin B))> |
#<alt (/ (cos B) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ x B)> |
#<alt (/ (+ x (* -1/3 (* (pow B 2) x))) B)> |
#<alt (/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)> |
#<alt (/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ 1 (sin B))> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))> |
#<alt (* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))> |
#<alt (* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))> |
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))> |
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))> |
#<alt (/ (- 1 x) B)> |
#<alt (/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)> |
#<alt (/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B)> |
#<alt (/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)> |
#<alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))> |
#<alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))> |
#<alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))> |
#<alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))> |
#<alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))> |
#<alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))> |
#<alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))> |
#<alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ x B))> |
#<alt (/ (- (* 1/3 (* (pow B 2) x)) x) B)> |
#<alt (/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B)> |
#<alt (/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))) x) B)> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (sqrt (/ 1 B))> |
#<alt (/ (+ (sqrt B) (* -1/6 (sqrt (pow B 5)))) B)> |
#<alt (/ (+ (sqrt B) (* (pow B 3) (+ (* -1/6 (sqrt (/ 1 B))) (* -1/90 (sqrt (pow B 3)))))) B)> |
#<alt (/ (+ (sqrt B) (* (pow B 3) (+ (* -1/6 (sqrt (/ 1 B))) (* (pow B 2) (+ (* -1/72 (sqrt (/ 1 B))) (* -1/90 (sqrt (/ 1 B)))))))) B)> |
#<alt (sqrt (/ (cos B) (sin B)))> |
#<alt (sqrt (/ (cos B) (sin B)))> |
#<alt (sqrt (/ (cos B) (sin B)))> |
#<alt (sqrt (/ (cos B) (sin B)))> |
#<alt (sqrt (/ (cos B) (sin B)))> |
#<alt (sqrt (/ (cos B) (sin B)))> |
#<alt (sqrt (/ (cos B) (sin B)))> |
#<alt (sqrt (/ (cos B) (sin B)))> |
84 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | B | @ | inf | (pow (tan B) -1/2) |
| 3.0ms | B | @ | inf | (+ (neg (* x (pow (pow (tan B) -1/2) 2))) (/ 1 (sin B))) |
| 2.0ms | B | @ | 0 | (- (/ 1 (sin B)) (/ x (tan B))) |
| 2.0ms | x | @ | 0 | (+ (* (/ 1 (tan B)) (neg x)) (/ 1 (sin B))) |
| 1.0ms | x | @ | 0 | (- (/ 1 (sin B)) (/ x (tan B))) |
Compiled 713 to 508 computations (28.8% saved)
| 1× | batch-egg-rewrite |
| 8 454× | lower-fma.f32 |
| 8 452× | lower-fma.f64 |
| 3 986× | lower-*.f32 |
| 3 984× | lower-*.f64 |
| 3 136× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 103 |
| 0 | 42 | 85 |
| 1 | 177 | 84 |
| 2 | 1351 | 84 |
| 0 | 9498 | 84 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(sin.f64 B) |
(/.f64 x (tan.f64 B)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(-.f64 #s(literal 1 binary64) x) |
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(neg.f64 (/.f64 x B)) |
(/.f64 x B) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
(tan.f64 B) |
(neg.f64 x) |
(pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(+.f64 (neg.f64 (*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(neg.f64 (*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
(pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(+.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))) |
(+.f64 (/.f64 (tan.f64 B) (*.f64 (sin.f64 B) (tan.f64 B))) (neg.f64 (/.f64 (*.f64 (sin.f64 B) x) (*.f64 (sin.f64 B) (tan.f64 B))))) |
(+.f64 (/.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))))) (neg.f64 (/.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)) (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))))))) |
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))) (/.f64 (*.f64 x (*.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) x)) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))))) |
(+.f64 (/.f64 (*.f64 x (*.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) x)) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))))) |
(+.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(-.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))) |
(-.f64 (/.f64 (tan.f64 B) (*.f64 (sin.f64 B) (tan.f64 B))) (/.f64 (*.f64 (sin.f64 B) x) (*.f64 (sin.f64 B) (tan.f64 B)))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))))) (/.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)) (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)) (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))))) (/.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))) (/.f64 (*.f64 x (*.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) x)) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) x)) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))))) |
(-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 (/.f64 (tan.f64 B) x) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x))) (/.f64 (sin.f64 B) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)))) |
(-.f64 (/.f64 (/.f64 (tan.f64 B) x) (neg.f64 (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)))) (/.f64 (neg.f64 (sin.f64 B)) (neg.f64 (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x))))) |
(-.f64 (/.f64 (*.f64 (sin.f64 B) (neg.f64 x)) (*.f64 (sin.f64 B) (tan.f64 B))) (/.f64 (tan.f64 B) (*.f64 (sin.f64 B) (tan.f64 B)))) |
(-.f64 (/.f64 (*.f64 (sin.f64 B) x) (*.f64 (sin.f64 B) (neg.f64 (tan.f64 B)))) (/.f64 (tan.f64 B) (*.f64 (sin.f64 B) (tan.f64 B)))) |
(-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)) (/.f64 x (tan.f64 B))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (tan.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 1 binary64) (/.f64 x (tan.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal -1 binary64) (/.f64 x (tan.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 B))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 B))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (tan.f64 B) (tan.f64 B)) (neg.f64 (/.f64 (*.f64 (sin.f64 B) x) (*.f64 (sin.f64 B) (tan.f64 B))))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(fma.f64 x (/.f64 #s(literal -1 binary64) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 x (/.f64 #s(literal -1 binary64) (tan.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(fma.f64 (tan.f64 B) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (tan.f64 B))) (neg.f64 (/.f64 (*.f64 (sin.f64 B) x) (*.f64 (sin.f64 B) (tan.f64 B))))) |
(fma.f64 (/.f64 x (tan.f64 B)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 x (tan.f64 B)) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 x (tan.f64 B)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 x (tan.f64 B)) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(fma.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(fma.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) x) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(fma.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (neg.f64 (*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (neg.f64 (*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) x (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 (tan.f64 B) (sin.f64 B)) (neg.f64 (/.f64 (*.f64 (sin.f64 B) x) (*.f64 (sin.f64 B) (tan.f64 B))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(fma.f64 #s(literal -1 binary64) (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 #s(literal -1 binary64) (/.f64 x (tan.f64 B)) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(fma.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))))) (neg.f64 (/.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)) (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))) (/.f64 (*.f64 x (*.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) x)) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))))) |
(fma.f64 (*.f64 x (*.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) x)) (/.f64 (tan.f64 B) x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (*.f64 x (*.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) x)) (/.f64 (tan.f64 B) x) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(fma.f64 (*.f64 x (*.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))))) |
(fma.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) x) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) x) #s(literal 0 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) #s(literal 1 binary64) (/.f64 x (tan.f64 B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 B))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(fma.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (/.f64 x (tan.f64 B))) |
(fma.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) (/.f64 x (tan.f64 B))) |
(fma.f64 (neg.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (neg.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(fma.f64 (neg.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (neg.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) x) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(fma.f64 (neg.f64 (*.f64 x (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)))) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (neg.f64 (*.f64 x (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)))) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(fma.f64 (neg.f64 (*.f64 x (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (neg.f64 (*.f64 x (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
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(pow.f64 (pow.f64 (tan.f64 B) #s(literal 2 binary64)) #s(literal -1/4 binary64)) |
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (tan.f64 B))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1/4 binary64)) (pow.f64 (tan.f64 B) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 (tan.f64 B) #s(literal -1/4 binary64)) (pow.f64 (tan.f64 B) #s(literal -1/8 binary64))) (pow.f64 (tan.f64 B) #s(literal -1/8 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 B) #s(literal -1/4 binary64))) (pow.f64 (tan.f64 B) #s(literal -1/4 binary64))) |
| 1× | egg-herbie |
| 14 270× | lower-fma.f64 |
| 14 270× | lower-fma.f32 |
| 4 372× | lower-+.f64 |
| 4 372× | lower-+.f32 |
| 3 930× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 248 | 2658 |
| 1 | 684 | 2552 |
| 2 | 2084 | 2467 |
| 3 | 5642 | 2430 |
| 0 | 8413 | 2320 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 B) |
(* B (+ 1/2 (* 1/24 (pow B 2)))) |
(* B (+ 1/2 (* (pow B 2) (+ 1/24 (* 1/240 (pow B 2)))))) |
(* B (+ 1/2 (* (pow B 2) (+ 1/24 (* (pow B 2) (+ 1/240 (* 17/40320 (pow B 2)))))))) |
(- (/ 1 (sin B)) (/ (cos B) (sin B))) |
(- (/ 1 (sin B)) (/ (cos B) (sin B))) |
(- (/ 1 (sin B)) (/ (cos B) (sin B))) |
(- (/ 1 (sin B)) (/ (cos B) (sin B))) |
(- (/ 1 (sin B)) (/ (cos B) (sin B))) |
(- (/ 1 (sin B)) (/ (cos B) (sin B))) |
(- (/ 1 (sin B)) (/ (cos B) (sin B))) |
(- (/ 1 (sin B)) (/ (cos B) (sin B))) |
(- (/ 1 (sin B)) (/ (cos B) (sin B))) |
(- (/ 1 (sin B)) (/ (cos B) (sin B))) |
(- (/ 1 (sin B)) (/ (cos B) (sin B))) |
(- (/ 1 (sin B)) (/ (cos B) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(/ 1 B) |
(/ (+ 1 (* 1/6 (pow B 2))) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
B |
(* B (+ 1 (* -1/6 (pow B 2)))) |
(* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6)))) |
(* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6)))) |
(sin B) |
(sin B) |
(sin B) |
(sin B) |
(sin B) |
(sin B) |
(sin B) |
(sin B) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ x B) |
(/ (+ x (* -1/3 (* (pow B 2) x))) B) |
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ 1 B) |
(+ (* -1 (/ x B)) (/ 1 B)) |
(+ (* -1 (/ x B)) (/ 1 B)) |
(+ (* -1 (/ x B)) (/ 1 B)) |
(* -1 (/ x B)) |
(* x (- (/ 1 (* B x)) (/ 1 B))) |
(* x (- (/ 1 (* B x)) (/ 1 B))) |
(* x (- (/ 1 (* B x)) (/ 1 B))) |
(* -1 (/ x B)) |
(* -1 (* x (- (/ 1 B) (/ 1 (* B x))))) |
(* -1 (* x (- (/ 1 B) (/ 1 (* B x))))) |
(* -1 (* x (- (/ 1 B) (/ 1 (* B x))))) |
(/ (- 1 x) B) |
(/ (- 1 x) B) |
(/ (- 1 x) B) |
(/ (- 1 x) B) |
(/ (- 1 x) B) |
(/ (- 1 x) B) |
(/ (- 1 x) B) |
(/ (- 1 x) B) |
(/ (- 1 x) B) |
(/ (- 1 x) B) |
(/ (- 1 x) B) |
(/ (- 1 x) B) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(/ 1 (sin B)) |
(+ (* -1 (/ x B)) (/ 1 (sin B))) |
(+ (* -1 (/ x B)) (/ 1 (sin B))) |
(+ (* -1 (/ x B)) (/ 1 (sin B))) |
(* -1 (/ x B)) |
(* x (- (/ 1 (* x (sin B))) (/ 1 B))) |
(* x (- (/ 1 (* x (sin B))) (/ 1 B))) |
(* x (- (/ 1 (* x (sin B))) (/ 1 B))) |
(* -1 (/ x B)) |
(* -1 (* x (- (/ 1 B) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ 1 B) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ 1 B) (/ 1 (* x (sin B)))))) |
(/ (- 1 x) B) |
(/ (- (+ 1 (* 1/6 (pow B 2))) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) x) B) |
(/ 1 (sin B)) |
(+ (* -1 (/ x B)) (/ 1 (sin B))) |
(+ (* -1 (/ x B)) (/ 1 (sin B))) |
(+ (* -1 (/ x B)) (/ 1 (sin B))) |
(/ 1 (sin B)) |
(+ (* -1 (/ x B)) (/ 1 (sin B))) |
(+ (* -1 (/ x B)) (/ 1 (sin B))) |
(+ (* -1 (/ x B)) (/ 1 (sin B))) |
(* -1 (/ x B)) |
(* -1 (/ x B)) |
(* -1 (/ x B)) |
(* -1 (/ x B)) |
(* -1 (/ x B)) |
(* -1 (/ x B)) |
(* -1 (/ x B)) |
(* -1 (/ x B)) |
(* -1 (/ x B)) |
(* -1 (/ x B)) |
(* -1 (/ x B)) |
(* -1 (/ x B)) |
(* -1 (/ x B)) |
(* -1 (/ x B)) |
(* -1 (/ x B)) |
(* -1 (/ x B)) |
(* -1 (/ x B)) |
(* -1 (/ x B)) |
(* -1 (/ x B)) |
(* -1 (/ x B)) |
(* -1 (/ x B)) |
(* -1 (/ x B)) |
(* -1 (/ x B)) |
(* -1 (/ x B)) |
(/ x B) |
(/ x B) |
(/ x B) |
(/ x B) |
(/ x B) |
(/ x B) |
(/ x B) |
(/ x B) |
(/ x B) |
(/ x B) |
(/ x B) |
(/ x B) |
(/ x B) |
(/ x B) |
(/ x B) |
(/ x B) |
(/ x B) |
(/ x B) |
(/ x B) |
(/ x B) |
(/ x B) |
(/ x B) |
(/ x B) |
(/ x B) |
(* 1/2 B) |
(* B (+ 1/2 (* 1/24 (pow B 2)))) |
(* B (+ 1/2 (* (pow B 2) (+ 1/24 (* 1/240 (pow B 2)))))) |
(* B (+ 1/2 (* (pow B 2) (+ 1/24 (* (pow B 2) (+ 1/240 (* 17/40320 (pow B 2)))))))) |
(+ (* -1 (/ (cos B) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (cos B) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (cos B) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (cos B) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (cos B) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (cos B) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (cos B) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (cos B) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (cos B) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (cos B) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (cos B) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (cos B) (sin B))) (/ 1 (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(/ 1 B) |
(/ (+ 1 (* -1/3 (pow B 2))) B) |
(/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B) |
(/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
B |
(* B (+ 1 (* 1/3 (pow B 2)))) |
(* B (+ 1 (* (pow B 2) (+ 1/3 (* 2/15 (pow B 2)))))) |
(* B (+ 1 (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 2/15 (* 17/315 (pow B 2)))))))) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ 1 B) |
(/ (+ 1 (* -1/3 (pow B 2))) B) |
(/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B) |
(/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ x B) |
(/ (+ x (* -1/3 (* (pow B 2) x))) B) |
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ (* x (cos B)) (sin B)) |
(/ 1 (sin B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(/ (- 1 x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ x B)) |
(/ (- (* 1/3 (* (pow B 2) x)) x) B) |
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B) |
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))) x) B) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(sqrt (/ 1 B)) |
(/ (+ (sqrt B) (* -1/6 (sqrt (pow B 5)))) B) |
(/ (+ (sqrt B) (* (pow B 3) (+ (* -1/6 (sqrt (/ 1 B))) (* -1/90 (sqrt (pow B 3)))))) B) |
(/ (+ (sqrt B) (* (pow B 3) (+ (* -1/6 (sqrt (/ 1 B))) (* (pow B 2) (+ (* -1/72 (sqrt (/ 1 B))) (* -1/90 (sqrt (/ 1 B)))))))) B) |
(sqrt (/ (cos B) (sin B))) |
(sqrt (/ (cos B) (sin B))) |
(sqrt (/ (cos B) (sin B))) |
(sqrt (/ (cos B) (sin B))) |
(sqrt (/ (cos B) (sin B))) |
(sqrt (/ (cos B) (sin B))) |
(sqrt (/ (cos B) (sin B))) |
(sqrt (/ (cos B) (sin B))) |
| Outputs |
|---|
(* 1/2 B) |
(*.f64 #s(literal 1/2 binary64) B) |
(* B (+ 1/2 (* 1/24 (pow B 2)))) |
(*.f64 B (fma.f64 B (*.f64 B #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(* B (+ 1/2 (* (pow B 2) (+ 1/24 (* 1/240 (pow B 2)))))) |
(*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(* B (+ 1/2 (* (pow B 2) (+ 1/24 (* (pow B 2) (+ 1/240 (* 17/40320 (pow B 2)))))))) |
(*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(- (/ 1 (sin B)) (/ (cos B) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (cos.f64 B) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (cos B) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (cos.f64 B) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (cos B) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (cos.f64 B) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (cos B) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (cos.f64 B) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (cos B) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (cos.f64 B) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (cos B) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (cos.f64 B) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (cos B) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (cos.f64 B) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (cos B) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (cos.f64 B) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (cos B) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (cos.f64 B) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (cos B) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (cos.f64 B) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (cos B) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (cos.f64 B) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (cos B) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (cos.f64 B) (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(*.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B)))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 (cos.f64 B) x #s(literal -1 binary64))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 (cos.f64 B) x #s(literal -1 binary64))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 (cos.f64 B) x #s(literal -1 binary64))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(*.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B)))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 (cos.f64 B) x #s(literal -1 binary64))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 (cos.f64 B) x #s(literal -1 binary64))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 (cos.f64 B) x #s(literal -1 binary64))) |
(/ 1 B) |
(/.f64 #s(literal 1 binary64) B) |
(/ (+ 1 (* 1/6 (pow B 2))) B) |
(/.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(/ 1 (sin B)) |
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(/.f64 #s(literal 1 binary64) B) |
(/ (+ 1 (* -1/3 (pow B 2))) B) |
(/.f64 (fma.f64 (*.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B) |
(/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal -1/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) B) |
(/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal -2/945 binary64) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) B) |
(/ (cos B) (sin B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/ (cos B) (sin B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/ (cos B) (sin B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/ (cos B) (sin B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/ (cos B) (sin B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/ (cos B) (sin B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/ (cos B) (sin B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/ (cos B) (sin B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/ x B) |
(/.f64 x B) |
(/ (+ x (* -1/3 (* (pow B 2) x))) B) |
(/.f64 (fma.f64 (*.f64 B B) (*.f64 x #s(literal -1/3 binary64)) x) B) |
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/.f64 (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 B (*.f64 B #s(literal -1/45 binary64)) #s(literal -1/3 binary64))) x) B) |
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) (*.f64 x #s(literal -2/945 binary64)) (*.f64 x #s(literal -1/45 binary64)))) (*.f64 x #s(literal -1/3 binary64))) x) B) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 (cos.f64 B) x #s(literal -1 binary64))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 (cos.f64 B) x #s(literal -1 binary64))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 (cos.f64 B) x #s(literal -1 binary64))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(*.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B)))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 (cos.f64 B) x #s(literal -1 binary64))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 (cos.f64 B) x #s(literal -1 binary64))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 (cos.f64 B) x #s(literal -1 binary64))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(*.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B)))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 (cos.f64 B) x #s(literal -1 binary64))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 (cos.f64 B) x #s(literal -1 binary64))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 (cos.f64 B) x #s(literal -1 binary64))) |
(/ (- 1 x) B) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 (cos.f64 B) x #s(literal -1 binary64))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 (cos.f64 B) x #s(literal -1 binary64))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 (cos.f64 B) x #s(literal -1 binary64))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 (cos.f64 B) x #s(literal -1 binary64))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 (cos.f64 B) x #s(literal -1 binary64))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 (cos.f64 B) x #s(literal -1 binary64))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 (cos.f64 B) x #s(literal -1 binary64))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 (cos.f64 B) x #s(literal -1 binary64))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(*.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(*.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(*.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(*.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(*.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(*.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(*.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(*.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(*.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(*.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(*.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(*.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B)))) |
(* -1 (/ x B)) |
(/.f64 x (neg.f64 B)) |
(/ (- (* 1/3 (* (pow B 2) x)) x) B) |
(*.f64 x (fma.f64 B #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) B))) |
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B) |
(fma.f64 B (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64))) (/.f64 x (neg.f64 B))) |
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))) x) B) |
(fma.f64 B (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 x #s(literal 1/45 binary64))) (*.f64 x #s(literal 1/3 binary64))) (/.f64 x (neg.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(*.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(*.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(*.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(*.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(*.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(*.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(*.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(*.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B)))) |
(sqrt (/ 1 B)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) B)) |
(/ (+ (sqrt B) (* -1/6 (sqrt (pow B 5)))) B) |
(/.f64 (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (pow.f64 B #s(literal 5 binary64))) (sqrt.f64 B)) B) |
(/ (+ (sqrt B) (* (pow B 3) (+ (* -1/6 (sqrt (/ 1 B))) (* -1/90 (sqrt (pow B 3)))))) B) |
(/.f64 (fma.f64 (*.f64 B (*.f64 B B)) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) B)) (*.f64 #s(literal -1/90 binary64) (sqrt.f64 (*.f64 B (*.f64 B B))))) (sqrt.f64 B)) B) |
(/ (+ (sqrt B) (* (pow B 3) (+ (* -1/6 (sqrt (/ 1 B))) (* (pow B 2) (+ (* -1/72 (sqrt (/ 1 B))) (* -1/90 (sqrt (/ 1 B)))))))) B) |
(/.f64 (fma.f64 (*.f64 B (*.f64 B B)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) B)) (fma.f64 (*.f64 B B) #s(literal -1/40 binary64) #s(literal -1/6 binary64))) (sqrt.f64 B)) B) |
(sqrt (/ (cos B) (sin B))) |
(sqrt.f64 (/.f64 (cos.f64 B) (sin.f64 B))) |
(sqrt (/ (cos B) (sin B))) |
(sqrt.f64 (/.f64 (cos.f64 B) (sin.f64 B))) |
(sqrt (/ (cos B) (sin B))) |
(sqrt.f64 (/.f64 (cos.f64 B) (sin.f64 B))) |
(sqrt (/ (cos B) (sin B))) |
(sqrt.f64 (/.f64 (cos.f64 B) (sin.f64 B))) |
(sqrt (/ (cos B) (sin B))) |
(sqrt.f64 (/.f64 (cos.f64 B) (sin.f64 B))) |
(sqrt (/ (cos B) (sin B))) |
(sqrt.f64 (/.f64 (cos.f64 B) (sin.f64 B))) |
(sqrt (/ (cos B) (sin B))) |
(sqrt.f64 (/.f64 (cos.f64 B) (sin.f64 B))) |
(sqrt (/ (cos B) (sin B))) |
(sqrt.f64 (/.f64 (cos.f64 B) (sin.f64 B))) |
Compiled 34 457 to 2 557 computations (92.6% saved)
41 alts after pruning (39 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 020 | 35 | 2 055 |
| Fresh | 13 | 4 | 17 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 036 | 41 | 2 077 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 88.6% | (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 (*.f64 x (neg.f64 x)) x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| 74.9% | (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) B)) | |
| 99.7% | (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| 51.0% | (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) x)) B) | |
| 51.2% | (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) | |
| ▶ | 51.2% | (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
| 85.5% | (/.f64 (fma.f64 (sin.f64 B) (neg.f64 x) (tan.f64 B)) (*.f64 (sin.f64 B) (tan.f64 B))) | |
| ▶ | 60.9% | (/.f64 (fma.f64 (sin.f64 B) (neg.f64 x) B) (*.f64 B (sin.f64 B))) |
| 38.8% | (/.f64 (/.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) B) | |
| 50.1% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B) | |
| 51.2% | (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) | |
| 51.0% | (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) | |
| 51.2% | (/.f64 (-.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) | |
| 88.4% | (/.f64 (-.f64 (/.f64 (tan.f64 B) x) (sin.f64 B)) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x))) | |
| 39.5% | (/.f64 (-.f64 (/.f64 B x) B) (*.f64 B (/.f64 B x))) | |
| 36.7% | (/.f64 (-.f64 B (*.f64 B x)) (*.f64 B B)) | |
| 49.6% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 B x B)) | |
| ✓ | 51.2% | (/.f64 (-.f64 #s(literal 1 binary64) x) B) |
| 49.4% | (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) | |
| 25.7% | (/.f64 (neg.f64 x) B) | |
| 51.2% | (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x))) | |
| 51.6% | (/.f64 #s(literal 1 binary64) (sin.f64 B)) | |
| 27.5% | (/.f64 #s(literal 1 binary64) B) | |
| 46.6% | (-.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1/2 binary64)) (/.f64 x (tan.f64 B))) | |
| ✓ | 99.8% | (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| 99.7% | (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))) | |
| 74.9% | (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B))) | |
| 22.6% | (+.f64 (neg.f64 (/.f64 x B)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1/2 binary64))) | |
| 34.3% | (+.f64 (neg.f64 (/.f64 x B)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)))) | |
| 51.3% | (+.f64 (neg.f64 (/.f64 x B)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 B (*.f64 B B)) B))) | |
| 51.2% | (+.f64 (neg.f64 (/.f64 x B)) (/.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B))) | |
| 62.9% | (+.f64 (neg.f64 (*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) B)) | |
| 60.9% | (*.f64 (fma.f64 (sin.f64 B) (neg.f64 x) B) (/.f64 #s(literal 1 binary64) (*.f64 B (sin.f64 B)))) | |
| 51.2% | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x)) | |
| 99.7% | (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 (cos.f64 B) x #s(literal -1 binary64))) | |
| 49.6% | (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 B x B))) | |
| 49.4% | (*.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B)))) | |
| ▶ | 2.8% | (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
| 2.7% | (*.f64 B (fma.f64 B (*.f64 B #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) | |
| ▶ | 3.1% | (*.f64 #s(literal 1/2 binary64) B) |
Compiled 1 128 to 723 computations (35.9% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (neg.f64 x) |
| ✓ | cost-diff | 0 | (sin.f64 B) |
| ✓ | cost-diff | 0 | (fma.f64 (sin.f64 B) (neg.f64 x) B) |
| ✓ | cost-diff | 6336 | (/.f64 (fma.f64 (sin.f64 B) (neg.f64 x) B) (*.f64 B (sin.f64 B))) |
| ✓ | cost-diff | 0 | (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 B B) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 320 | (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 B B) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) B) |
| ✓ | cost-diff | 0 | (sin.f64 B) |
| ✓ | cost-diff | 0 | (cos.f64 B) |
| ✓ | cost-diff | 0 | (/.f64 (cos.f64 B) (sin.f64 B)) |
| ✓ | cost-diff | 0 | (fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 20 224× | lower-fma.f32 |
| 20 208× | lower-fma.f64 |
| 2 880× | lower-*.f32 |
| 2 870× | lower-*.f64 |
| 2 724× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 178 |
| 0 | 60 | 178 |
| 1 | 128 | 178 |
| 2 | 333 | 178 |
| 3 | 935 | 178 |
| 4 | 2547 | 176 |
| 5 | 5323 | 174 |
| 0 | 8431 | 173 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(cos.f64 B) |
B |
(sin.f64 B) |
(neg.f64 x) |
x |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/2 binary64) B) |
#s(literal 1/2 binary64) |
B |
(*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
B |
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 B B) |
(fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) |
#s(literal 1/240 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 B B) |
B |
(fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
(*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) |
(fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) |
x |
#s(literal 1/45 binary64) |
#s(literal 7/360 binary64) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
#s(literal 1/3 binary64) |
#s(literal 1/6 binary64) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 (sin.f64 B) (neg.f64 x) B) (*.f64 B (sin.f64 B))) |
(fma.f64 (sin.f64 B) (neg.f64 x) B) |
(sin.f64 B) |
B |
(neg.f64 x) |
x |
(*.f64 B (sin.f64 B)) |
| Outputs |
|---|
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(cos.f64 B) |
B |
(sin.f64 B) |
(neg.f64 x) |
x |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/2 binary64) B) |
(*.f64 B #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
B |
(*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(*.f64 B (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
B |
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 B B) |
(fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) |
(fma.f64 B (*.f64 B #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) |
#s(literal 1/240 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(fma.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
(fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 B B) |
B |
(fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
(*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) |
(fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) |
x |
#s(literal 1/45 binary64) |
#s(literal 7/360 binary64) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
#s(literal 1/3 binary64) |
#s(literal 1/6 binary64) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 (sin.f64 B) (neg.f64 x) B) (*.f64 B (sin.f64 B))) |
(/.f64 (-.f64 (/.f64 B (sin.f64 B)) x) B) |
(fma.f64 (sin.f64 B) (neg.f64 x) B) |
(sin.f64 B) |
B |
(neg.f64 x) |
x |
(*.f64 B (sin.f64 B)) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 50.9% | (sin.f64 B) |
| ✓ | accuracy | 4.6% | (fma.f64 (sin.f64 B) (neg.f64 x) B) |
| ✓ | accuracy | 4.2% | (/.f64 (fma.f64 (sin.f64 B) (neg.f64 x) B) (*.f64 B (sin.f64 B))) |
| ✓ | accuracy | 3.7% | (*.f64 B (sin.f64 B)) |
| ✓ | accuracy | 6.4% | (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 4.2% | (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 3.1% | (-.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 2.7% | (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
| ✓ | accuracy | 34.6% | (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) |
| ✓ | accuracy | 29.0% | (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 28.9% | (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 6.9% | (*.f64 B B) |
| ✓ | accuracy | 5.3% | (*.f64 #s(literal 1/2 binary64) B) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (sin.f64 B)) |
| ✓ | accuracy | 50.9% | (sin.f64 B) |
| ✓ | accuracy | 7.1% | (/.f64 (cos.f64 B) (sin.f64 B)) |
| ✓ | accuracy | 5.8% | (fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 81.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 3 | valid |
Compiled 382 to 72 computations (81.2% saved)
ival-mult: 18.0ms (28.2% of total)const: 16.0ms (25% of total)ival-add: 9.0ms (14.1% of total)ival-div: 8.0ms (12.5% of total)ival-cos: 6.0ms (9.4% of total)ival-sin: 5.0ms (7.8% of total)ival-sub: 1.0ms (1.6% of total)ival-neg: 1.0ms (1.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B)))> |
#<alt (/.f64 (cos.f64 B) (sin.f64 B))> |
#<alt (cos.f64 B)> |
#<alt (sin.f64 B)> |
#<alt (*.f64 #s(literal 1/2 binary64) B)> |
#<alt (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))> |
#<alt (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))> |
#<alt (*.f64 B B)> |
#<alt (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64))> |
#<alt (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)> |
#<alt (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))> |
#<alt (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))> |
#<alt (/.f64 (fma.f64 (sin.f64 B) (neg.f64 x) B) (*.f64 B (sin.f64 B)))> |
#<alt (fma.f64 (sin.f64 B) (neg.f64 x) B)> |
#<alt (neg.f64 x)> |
#<alt (/.f64 #s(literal 1 binary64) (sin.f64 B))> |
#<alt (-.f64 #s(literal 1 binary64) x)> |
#<alt (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))> |
#<alt (*.f64 B (sin.f64 B))> |
| Outputs |
|---|
#<alt (/ (+ 1 (* -1 x)) B)> |
#<alt (/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (* -1 (- (* -1/2 x) (* -1/6 x))))))) B)> |
#<alt (/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (* (pow B 2) (+ 7/360 (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))))))))) B)> |
#<alt (/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (* (pow B 2) (+ 7/360 (+ (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)))) (* (pow B 2) (+ 31/15120 (* -1 (- (* -1/720 x) (+ (* -1/6 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)))) (+ (* -1/5040 x) (* 1/120 (- (* -1/2 x) (* -1/6 x))))))))))))))))) B)> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))> |
#<alt (/ 1 (sin B))> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))> |
#<alt (* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))> |
#<alt (* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))> |
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))> |
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))> |
#<alt (/ 1 B)> |
#<alt (/ (+ 1 (* 1/6 (pow B 2))) B)> |
#<alt (/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B)> |
#<alt (/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B)> |
#<alt (/ (cos B) (sin B))> |
#<alt (/ (cos B) (sin B))> |
#<alt (/ (cos B) (sin B))> |
#<alt (/ (cos B) (sin B))> |
#<alt (/ (cos B) (sin B))> |
#<alt (/ (cos B) (sin B))> |
#<alt (/ (cos B) (sin B))> |
#<alt (/ (cos B) (sin B))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow B 2)))> |
#<alt (+ 1 (* (pow B 2) (- (* 1/24 (pow B 2)) 1/2)))> |
#<alt (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/24 (* -1/720 (pow B 2)))) 1/2)))> |
#<alt (cos B)> |
#<alt (cos B)> |
#<alt (cos B)> |
#<alt (cos B)> |
#<alt (cos B)> |
#<alt (cos B)> |
#<alt (cos B)> |
#<alt (cos B)> |
#<alt B> |
#<alt (* B (+ 1 (* -1/6 (pow B 2))))> |
#<alt (* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6))))> |
#<alt (* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6))))> |
#<alt (sin B)> |
#<alt (sin B)> |
#<alt (sin B)> |
#<alt (sin B)> |
#<alt (sin B)> |
#<alt (sin B)> |
#<alt (sin B)> |
#<alt (sin B)> |
#<alt (* 1/2 B)> |
#<alt (* 1/2 B)> |
#<alt (* 1/2 B)> |
#<alt (* 1/2 B)> |
#<alt B> |
#<alt B> |
#<alt B> |
#<alt B> |
#<alt (* -1 B)> |
#<alt (* -1 B)> |
#<alt (* -1 B)> |
#<alt (* -1 B)> |
#<alt (* 1/2 B)> |
#<alt (* B (+ 1/2 (* 1/24 (pow B 2))))> |
#<alt (* B (+ 1/2 (* (pow B 2) (+ 1/24 (* 1/240 (pow B 2))))))> |
#<alt (* B (+ 1/2 (* (pow B 2) (+ 1/24 (* 1/240 (pow B 2))))))> |
#<alt (* 1/24 (pow B 9))> |
#<alt (* (pow B 9) (+ 1/24 (* 1/240 (/ 1 (pow B 5)))))> |
#<alt (* (pow B 9) (+ 1/24 (+ (/ 1/2 (pow B 8)) (* 1/240 (/ 1 (pow B 5))))))> |
#<alt (* (pow B 9) (+ 1/24 (+ (/ 1/2 (pow B 8)) (* 1/240 (/ 1 (pow B 5))))))> |
#<alt (* -1/24 (pow B 10))> |
#<alt (* (pow B 10) (- (* 1/240 (/ 1 (pow B 5))) 1/24))> |
#<alt (* (pow B 10) (- (+ (/ 1/2 (pow B 9)) (* 1/240 (/ 1 (pow B 5)))) 1/24))> |
#<alt (* (pow B 10) (- (+ (/ 1/2 (pow B 9)) (* 1/240 (/ 1 (pow B 5)))) 1/24))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/24 (pow B 2)))> |
#<alt (+ 1/2 (* (pow B 2) (+ 1/24 (* 1/240 (pow B 2)))))> |
#<alt (+ 1/2 (* (pow B 2) (+ 1/24 (* 1/240 (pow B 2)))))> |
#<alt (* 1/24 (pow B 8))> |
#<alt (* (pow B 8) (+ 1/24 (* 1/240 (/ 1 (pow B 5)))))> |
#<alt (* (pow B 8) (+ 1/24 (+ (/ 1/2 (pow B 8)) (* 1/240 (/ 1 (pow B 5))))))> |
#<alt (* (pow B 8) (+ 1/24 (+ (/ 1/2 (pow B 8)) (* 1/240 (/ 1 (pow B 5))))))> |
#<alt (* 1/24 (pow B 8))> |
#<alt (* (pow B 8) (- 1/24 (* 1/240 (/ 1 (pow B 5)))))> |
#<alt (* (pow B 8) (+ 1/24 (* -1 (/ (- 1/240 (* 1/2 (/ 1 (pow B 3)))) (pow B 5)))))> |
#<alt (* (pow B 8) (+ 1/24 (* -1 (/ (- 1/240 (* 1/2 (/ 1 (pow B 3)))) (pow B 5)))))> |
#<alt B> |
#<alt B> |
#<alt B> |
#<alt B> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt 1/24> |
#<alt (+ 1/24 (* 1/240 (pow B 3)))> |
#<alt (+ 1/24 (* 1/240 (pow B 3)))> |
#<alt (+ 1/24 (* 1/240 (pow B 3)))> |
#<alt (* 1/240 (pow B 4))> |
#<alt (* (pow B 4) (+ 1/240 (* 1/24 (/ 1 (pow B 4)))))> |
#<alt (* (pow B 4) (+ 1/240 (* 1/24 (/ 1 (pow B 4)))))> |
#<alt (* (pow B 4) (+ 1/240 (* 1/24 (/ 1 (pow B 4)))))> |
#<alt (* 1/240 (pow B 4))> |
#<alt (* (pow B 4) (+ 1/240 (* 1/24 (/ 1 (pow B 4)))))> |
#<alt (* (pow B 4) (+ 1/240 (* 1/24 (/ 1 (pow B 4)))))> |
#<alt (* (pow B 4) (+ 1/240 (* 1/24 (/ 1 (pow B 4)))))> |
#<alt (/ (- 1 x) B)> |
#<alt (/ (- (+ 1 (* (pow B 3) (+ 1/6 (* 1/3 x)))) x) B)> |
#<alt (/ (- (+ 1 (* (pow B 3) (+ 1/6 (+ (* 1/3 x) (* (pow B 3) (+ 7/360 (* 1/45 x))))))) x) B)> |
#<alt (/ (- (+ 1 (* (pow B 3) (+ 1/6 (+ (* 1/3 x) (* (pow B 3) (+ 7/360 (* 1/45 x))))))) x) B)> |
#<alt (* 1/2 (pow B 8))> |
#<alt (* (pow B 8) (+ 1/2 (* 1/24 (/ 1 (pow B 5)))))> |
#<alt (* (pow B 8) (- (+ 1/2 (+ (* 1/24 (/ 1 (pow B 5))) (/ 1 (pow B 9)))) (/ x (pow B 9))))> |
#<alt (* (pow B 8) (- (+ 1/2 (+ (* 1/24 (/ 1 (pow B 5))) (/ 1 (pow B 9)))) (/ x (pow B 9))))> |
#<alt (* 1/2 (pow B 9))> |
#<alt (* -1 (* (pow B 9) (- (* 1/24 (/ 1 (pow B 5))) 1/2)))> |
#<alt (* -1 (* (pow B 9) (- (* -1 (/ (- (/ 1 (pow B 5)) (+ 1/24 (/ x (pow B 5)))) (pow B 5))) 1/2)))> |
#<alt (* -1 (* (pow B 9) (- (* -1 (/ (- (/ 1 (pow B 5)) (+ 1/24 (/ x (pow B 5)))) (pow B 5))) 1/2)))> |
#<alt (/ (+ 1 (* (pow B 3) (+ 1/6 (* 7/360 (pow B 3))))) B)> |
#<alt (+ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 3)))) (/ 1 B))) (+ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 3)))) (/ 1 B)))> |
#<alt (+ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 3)))) (/ 1 B))) (+ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 3)))) (/ 1 B)))> |
#<alt (+ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 3)))) (/ 1 B))) (+ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 3)))) (/ 1 B)))> |
#<alt (/ (* x (- (* (pow B 3) (+ 1/3 (* 1/45 (pow B 3)))) 1)) B)> |
#<alt (* x (- (+ (* (pow B 2) (+ 1/3 (* 1/45 (pow B 3)))) (+ (/ 1 (* B x)) (/ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 3)))) x))) (/ 1 B)))> |
#<alt (* x (- (+ (* (pow B 2) (+ 1/3 (* 1/45 (pow B 3)))) (+ (/ 1 (* B x)) (/ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 3)))) x))) (/ 1 B)))> |
#<alt (* x (- (+ (* (pow B 2) (+ 1/3 (* 1/45 (pow B 3)))) (+ (/ 1 (* B x)) (/ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 3)))) x))) (/ 1 B)))> |
#<alt (* -1 (/ (* x (+ 1 (* (pow B 3) (- (* -1/45 (pow B 3)) 1/3)))) B))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 3)))) (/ 1 B)) x)) (+ (* (pow B 2) (- (* -1/45 (pow B 3)) 1/3)) (/ 1 B)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 3)))) (/ 1 B)) x)) (+ (* (pow B 2) (- (* -1/45 (pow B 3)) 1/3)) (/ 1 B)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 3)))) (/ 1 B)) x)) (+ (* (pow B 2) (- (* -1/45 (pow B 3)) 1/3)) (/ 1 B)))))> |
#<alt (- 1 x)> |
#<alt (- (+ 1 (* (pow B 3) (+ 1/6 (* 1/3 x)))) x)> |
#<alt (- (+ 1 (* (pow B 3) (+ 1/6 (+ (* 1/3 x) (* (pow B 3) (+ 7/360 (* 1/45 x))))))) x)> |
#<alt (- (+ 1 (* (pow B 3) (+ 1/6 (+ (* 1/3 x) (* (pow B 3) (+ 7/360 (* 1/45 x))))))) x)> |
#<alt (* 1/2 (pow B 9))> |
#<alt (* (pow B 9) (+ 1/2 (* 1/24 (/ 1 (pow B 5)))))> |
#<alt (* (pow B 9) (- (+ 1/2 (+ (* 1/24 (/ 1 (pow B 5))) (/ 1 (pow B 9)))) (/ x (pow B 9))))> |
#<alt (* (pow B 9) (- (+ 1/2 (+ (* 1/24 (/ 1 (pow B 5))) (/ 1 (pow B 9)))) (/ x (pow B 9))))> |
#<alt (* -1/2 (pow B 9))> |
#<alt (* -1 (* (pow B 9) (- 1/2 (* 1/24 (/ 1 (pow B 5))))))> |
#<alt (* -1 (* (pow B 9) (+ 1/2 (* -1 (/ (- (+ 1/24 (/ 1 (pow B 4))) (/ x (pow B 4))) (pow B 5))))))> |
#<alt (* -1 (* (pow B 9) (+ 1/2 (* -1 (/ (- (+ 1/24 (/ 1 (pow B 4))) (/ x (pow B 4))) (pow B 5))))))> |
#<alt (+ 1 (* (pow B 3) (+ 1/6 (* 7/360 (pow B 3)))))> |
#<alt (+ 1 (+ (* x (- (* (pow B 3) (+ 1/3 (* 1/45 (pow B 3)))) 1)) (* (pow B 3) (+ 1/6 (* 7/360 (pow B 3))))))> |
#<alt (+ 1 (+ (* x (- (* (pow B 3) (+ 1/3 (* 1/45 (pow B 3)))) 1)) (* (pow B 3) (+ 1/6 (* 7/360 (pow B 3))))))> |
#<alt (+ 1 (+ (* x (- (* (pow B 3) (+ 1/3 (* 1/45 (pow B 3)))) 1)) (* (pow B 3) (+ 1/6 (* 7/360 (pow B 3))))))> |
#<alt (* x (- (* (pow B 3) (+ 1/3 (* 1/45 (pow B 3)))) 1))> |
#<alt (* x (- (+ (* (pow B 3) (+ 1/3 (* 1/45 (pow B 3)))) (+ (/ 1 x) (/ (* (pow B 3) (+ 1/6 (* 7/360 (pow B 3)))) x))) 1))> |
#<alt (* x (- (+ (* (pow B 3) (+ 1/3 (* 1/45 (pow B 3)))) (+ (/ 1 x) (/ (* (pow B 3) (+ 1/6 (* 7/360 (pow B 3)))) x))) 1))> |
#<alt (* x (- (+ (* (pow B 3) (+ 1/3 (* 1/45 (pow B 3)))) (+ (/ 1 x) (/ (* (pow B 3) (+ 1/6 (* 7/360 (pow B 3)))) x))) 1))> |
#<alt (* -1 (* x (+ 1 (* (pow B 3) (- (* -1/45 (pow B 3)) 1/3)))))> |
#<alt (* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* (pow B 3) (+ 1/6 (* 7/360 (pow B 3))))) x)) (* (pow B 3) (- (* -1/45 (pow B 3)) 1/3))))))> |
#<alt (* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* (pow B 3) (+ 1/6 (* 7/360 (pow B 3))))) x)) (* (pow B 3) (- (* -1/45 (pow B 3)) 1/3))))))> |
#<alt (* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* (pow B 3) (+ 1/6 (* 7/360 (pow B 3))))) x)) (* (pow B 3) (- (* -1/45 (pow B 3)) 1/3))))))> |
#<alt (+ 1/6 (* 1/3 x))> |
#<alt (+ 1/6 (+ (* 1/3 x) (* (pow B 5) (+ 7/360 (* 1/45 x)))))> |
#<alt (+ 1/6 (+ (* 1/3 x) (* (pow B 5) (+ 7/360 (* 1/45 x)))))> |
#<alt (+ 1/6 (+ (* 1/3 x) (* (pow B 5) (+ 7/360 (* 1/45 x)))))> |
#<alt (* 1/24 (pow B 4))> |
#<alt (* (pow B 4) (+ 1/24 (+ (* 1/3 (/ x (pow B 4))) (* 1/6 (/ 1 (pow B 4))))))> |
#<alt (* (pow B 4) (+ 1/24 (+ (* 1/3 (/ x (pow B 4))) (* 1/6 (/ 1 (pow B 4))))))> |
#<alt (* (pow B 4) (+ 1/24 (+ (* 1/3 (/ x (pow B 4))) (* 1/6 (/ 1 (pow B 4))))))> |
#<alt (* 1/24 (pow B 4))> |
#<alt (* (pow B 4) (+ 1/24 (+ (* 1/3 (/ x (pow B 4))) (* 1/6 (/ 1 (pow B 4))))))> |
#<alt (* (pow B 4) (+ 1/24 (+ (* 1/3 (/ x (pow B 4))) (* 1/6 (/ 1 (pow B 4))))))> |
#<alt (* (pow B 4) (+ 1/24 (+ (* 1/3 (/ x (pow B 4))) (* 1/6 (/ 1 (pow B 4))))))> |
#<alt (+ 1/6 (* 7/360 (pow B 5)))> |
#<alt (+ 1/6 (+ (* 7/360 (pow B 5)) (* x (+ 1/3 (* 1/45 (pow B 5))))))> |
#<alt (+ 1/6 (+ (* 7/360 (pow B 5)) (* x (+ 1/3 (* 1/45 (pow B 5))))))> |
#<alt (+ 1/6 (+ (* 7/360 (pow B 5)) (* x (+ 1/3 (* 1/45 (pow B 5))))))> |
#<alt (* x (+ 1/3 (* 1/45 (pow B 7))))> |
#<alt (* x (+ 1/3 (+ (* 7/360 (/ (pow B 7) x)) (+ (* 1/45 (pow B 7)) (* 1/6 (/ 1 x))))))> |
#<alt (* x (+ 1/3 (+ (* 7/360 (/ (pow B 7) x)) (+ (* 1/45 (pow B 7)) (* 1/6 (/ 1 x))))))> |
#<alt (* x (+ 1/3 (+ (* 7/360 (/ (pow B 7) x)) (+ (* 1/45 (pow B 7)) (* 1/6 (/ 1 x))))))> |
#<alt (* -1 (* x (- (* -1/45 (pow B 3)) 1/3)))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (+ 1/6 (* 7/360 (pow B 3))) x)) (* -1/45 (pow B 3))) 1/3)))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (+ 1/6 (* 7/360 (pow B 3))) x)) (* -1/45 (pow B 3))) 1/3)))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (+ 1/6 (* 7/360 (pow B 3))) x)) (* -1/45 (pow B 3))) 1/3)))> |
#<alt (/ (+ 1 (* -1 x)) B)> |
#<alt (/ (+ 1 (+ (* -1 x) (* (pow B 2) (- (* 1/6 x) (* -1/6 (+ 1 (* -1 x))))))) B)> |
#<alt (/ (+ 1 (+ (* -1 x) (* (pow B 2) (- (+ (* 1/6 x) (* (pow B 2) (- (* -1/120 x) (+ (* -1/6 (- (* 1/6 x) (* -1/6 (+ 1 (* -1 x))))) (* 1/120 (+ 1 (* -1 x))))))) (* -1/6 (+ 1 (* -1 x))))))) B)> |
#<alt (/ (+ 1 (+ (* -1 x) (* (pow B 2) (- (+ (* 1/6 x) (* (pow B 2) (- (+ (* -1/120 x) (* (pow B 2) (- (* 1/5040 x) (+ (* -1/6 (- (* -1/120 x) (+ (* -1/6 (- (* 1/6 x) (* -1/6 (+ 1 (* -1 x))))) (* 1/120 (+ 1 (* -1 x)))))) (+ (* -1/5040 (+ 1 (* -1 x))) (* 1/120 (- (* 1/6 x) (* -1/6 (+ 1 (* -1 x)))))))))) (+ (* -1/6 (- (* 1/6 x) (* -1/6 (+ 1 (* -1 x))))) (* 1/120 (+ 1 (* -1 x))))))) (* -1/6 (+ 1 (* -1 x))))))) B)> |
#<alt (/ 1 (sin B))> |
#<alt (+ (* -1 (/ x B)) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ x B)) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ x B)) (/ 1 (sin B)))> |
#<alt (/ 1 (sin B))> |
#<alt (+ (* -1 (/ x B)) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ x B)) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ x B)) (/ 1 (sin B)))> |
#<alt (/ 1 (sin B))> |
#<alt (+ (* -1 (/ x B)) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ x B)) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ x B)) (/ 1 (sin B)))> |
#<alt (* -1 (/ x B))> |
#<alt (* x (- (/ 1 (* x (sin B))) (/ 1 B)))> |
#<alt (* x (- (/ 1 (* x (sin B))) (/ 1 B)))> |
#<alt (* x (- (/ 1 (* x (sin B))) (/ 1 B)))> |
#<alt (* -1 (/ x B))> |
#<alt (* -1 (* x (- (/ 1 B) (/ 1 (* x (sin B))))))> |
#<alt (* -1 (* x (- (/ 1 B) (/ 1 (* x (sin B))))))> |
#<alt (* -1 (* x (- (/ 1 B) (/ 1 (* x (sin B))))))> |
#<alt (* B (+ 1 (* -1 x)))> |
#<alt (* B (+ 1 (+ (* -1 x) (* 1/6 (* (pow B 2) x)))))> |
#<alt (* B (+ 1 (+ (* -1 x) (* (pow B 2) (+ (* -1/120 (* (pow B 2) x)) (* 1/6 x))))))> |
#<alt (* B (+ 1 (+ (* -1 x) (* (pow B 2) (+ (* 1/6 x) (* (pow B 2) (+ (* -1/120 x) (* 1/5040 (* (pow B 2) x)))))))))> |
#<alt B> |
#<alt (* B (+ 1 (* -1 (/ (* x (sin B)) B))))> |
#<alt (* B (+ 1 (* -1 (/ (* x (sin B)) B))))> |
#<alt (* B (+ 1 (* -1 (/ (* x (sin B)) B))))> |
#<alt B> |
#<alt (* -1 (* B (- (/ (* x (sin B)) B) 1)))> |
#<alt (* -1 (* B (- (/ (* x (sin B)) B) 1)))> |
#<alt (* -1 (* B (- (/ (* x (sin B)) B) 1)))> |
#<alt B> |
#<alt (+ B (* -1 (* x (sin B))))> |
#<alt (+ B (* -1 (* x (sin B))))> |
#<alt (+ B (* -1 (* x (sin B))))> |
#<alt (* -1 (* x (sin B)))> |
#<alt (* x (+ (* -1 (sin B)) (/ B x)))> |
#<alt (* x (+ (* -1 (sin B)) (/ B x)))> |
#<alt (* x (+ (* -1 (sin B)) (/ B x)))> |
#<alt (* -1 (* x (sin B)))> |
#<alt (* -1 (* x (+ (sin B) (* -1 (/ B x)))))> |
#<alt (* -1 (* x (+ (sin B) (* -1 (/ B x)))))> |
#<alt (* -1 (* x (+ (sin B) (* -1 (/ B x)))))> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (/ 1 B)> |
#<alt (/ (+ 1 (* 1/6 (pow B 2))) B)> |
#<alt (/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B)> |
#<alt (/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B)> |
#<alt (/ 1 (sin B))> |
#<alt (/ 1 (sin B))> |
#<alt (/ 1 (sin B))> |
#<alt (/ 1 (sin B))> |
#<alt (/ 1 (sin B))> |
#<alt (/ 1 (sin B))> |
#<alt (/ 1 (sin B))> |
#<alt (/ 1 (sin B))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt 1/6> |
#<alt (+ 1/6 (* 1/3 x))> |
#<alt (+ 1/6 (* 1/3 x))> |
#<alt (+ 1/6 (* 1/3 x))> |
#<alt (* 1/3 x)> |
#<alt (* x (+ 1/3 (* 1/6 (/ 1 x))))> |
#<alt (* x (+ 1/3 (* 1/6 (/ 1 x))))> |
#<alt (* x (+ 1/3 (* 1/6 (/ 1 x))))> |
#<alt (* 1/3 x)> |
#<alt (* x (+ 1/3 (* 1/6 (/ 1 x))))> |
#<alt (* x (+ 1/3 (* 1/6 (/ 1 x))))> |
#<alt (* x (+ 1/3 (* 1/6 (/ 1 x))))> |
#<alt (pow B 2)> |
#<alt (* (pow B 2) (+ 1 (* -1/6 (pow B 2))))> |
#<alt (* (pow B 2) (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6))))> |
#<alt (* (pow B 2) (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6))))> |
#<alt (* B (sin B))> |
#<alt (* B (sin B))> |
#<alt (* B (sin B))> |
#<alt (* B (sin B))> |
#<alt (* B (sin B))> |
#<alt (* B (sin B))> |
#<alt (* B (sin B))> |
#<alt (* B (sin B))> |
75 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | B | @ | -inf | (+ (* (/ (cos B) (sin B)) (neg x)) (/ 1 (sin B))) |
| 7.0ms | B | @ | -inf | (+ (* (* B B) (+ (* B (* B (+ (* x 1/45) 7/360))) (+ (* x 1/3) 1/6))) (- 1 x)) |
| 6.0ms | B | @ | inf | (/ (+ (* (sin B) (neg x)) B) (* B (sin B))) |
| 2.0ms | B | @ | -inf | (/ (+ (* (* B B) (+ (* B (* B (+ (* x 1/45) 7/360))) (+ (* x 1/3) 1/6))) (- 1 x)) B) |
| 2.0ms | B | @ | inf | (/ (+ (* (* B B) (+ (* B (* B (+ (* x 1/45) 7/360))) (+ (* x 1/3) 1/6))) (- 1 x)) B) |
Compiled 1 072 to 743 computations (30.7% saved)
| 1× | batch-egg-rewrite |
| 5 142× | lower-*.f32 |
| 5 140× | lower-fma.f32 |
| 5 132× | lower-*.f64 |
| 5 124× | lower-fma.f64 |
| 4 628× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 143 |
| 0 | 60 | 143 |
| 1 | 272 | 139 |
| 2 | 2247 | 139 |
| 0 | 9760 | 139 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(cos.f64 B) |
(sin.f64 B) |
(*.f64 #s(literal 1/2 binary64) B) |
(*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)) |
(*.f64 B B) |
(fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
(/.f64 (fma.f64 (sin.f64 B) (neg.f64 x) B) (*.f64 B (sin.f64 B))) |
(fma.f64 (sin.f64 B) (neg.f64 x) B) |
(neg.f64 x) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(-.f64 #s(literal 1 binary64) x) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
(*.f64 B (sin.f64 B)) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (neg.f64 (/.f64 x (tan.f64 B)))) |
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 (-.f64 (*.f64 (cos.f64 B) (neg.f64 x)) #s(literal 1 binary64)) (sin.f64 B))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (/.f64 (-.f64 (*.f64 (cos.f64 B) (neg.f64 x)) #s(literal 1 binary64)) (sin.f64 B)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) (neg.f64 x))) (sin.f64 B))) (/.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) (neg.f64 x))) (sin.f64 B)))) |
(fma.f64 (cos.f64 B) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (neg.f64 (/.f64 x (tan.f64 B)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 1 binary64) (neg.f64 (/.f64 x (tan.f64 B)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 #s(literal -1 binary64) (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 B)) (neg.f64 (/.f64 x (tan.f64 B)))) |
(fma.f64 (*.f64 (cos.f64 B) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (neg.f64 (/.f64 x (tan.f64 B)))) |
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B))) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal -1 binary64)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 (cos.f64 B) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 (*.f64 (cos.f64 B) #s(literal -1 binary64)) (sin.f64 B)) (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) (neg.f64 (*.f64 B B))))) (neg.f64 (neg.f64 (fma.f64 (sin.f64 B) (neg.f64 x) (neg.f64 B))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 B B) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))))) (neg.f64 (-.f64 B (neg.f64 (*.f64 (sin.f64 B) x))))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) (*.f64 B (-.f64 B (neg.f64 (*.f64 (sin.f64 B) x))))) (fma.f64 B (*.f64 B B) (neg.f64 (pow.f64 (*.f64 (sin.f64 B) x) #s(literal 3 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (sin.f64 B) (neg.f64 x) (neg.f64 B)) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) (neg.f64 (*.f64 B B)))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 B (*.f64 B B) (neg.f64 (pow.f64 (*.f64 (sin.f64 B) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) (*.f64 B (-.f64 B (neg.f64 (*.f64 (sin.f64 B) x))))))) |
(*.f64 (fma.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) (neg.f64 (*.f64 B B))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 B) (neg.f64 x) (neg.f64 B)))) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x))) |
(neg.f64 x) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 0 binary64) x))) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (*.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(*.f64 x #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) x) |
(exp.f64 (neg.f64 (log.f64 (sin.f64 B)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sin.f64 B)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 B))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (sin.f64 B))))) |
(pow.f64 (sin.f64 B) #s(literal -1 binary64)) |
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (sin.f64 B))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 B))) |
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) |
(+.f64 (neg.f64 x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 x)) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 x))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (neg.f64 x)))) |
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (neg.f64 x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (neg.f64 x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (neg.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64))))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64))) |
(+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/6 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)))) |
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64))))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal 1/18 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/216 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/36 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal 1/18 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/216 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/36 binary64))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/216 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal 1/18 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/18 binary64))))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/216 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal 1/18 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/18 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)))) |
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/216 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal 1/18 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal 1/18 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/216 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/36 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal 1/18 binary64))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)))) |
(*.f64 B (sin.f64 B)) |
(*.f64 (sin.f64 B) B) |
| 1× | egg-herbie |
| 13 416× | lower-fma.f64 |
| 13 416× | lower-fma.f32 |
| 6 668× | lower-+.f64 |
| 6 668× | lower-+.f32 |
| 5 354× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 417 | 3301 |
| 1 | 1275 | 3203 |
| 2 | 3868 | 3112 |
| 0 | 8250 | 2873 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ 1 (* -1 x)) B) |
(/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (* -1 (- (* -1/2 x) (* -1/6 x))))))) B) |
(/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (* (pow B 2) (+ 7/360 (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))))))))) B) |
(/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (* (pow B 2) (+ 7/360 (+ (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)))) (* (pow B 2) (+ 31/15120 (* -1 (- (* -1/720 x) (+ (* -1/6 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)))) (+ (* -1/5040 x) (* 1/120 (- (* -1/2 x) (* -1/6 x))))))))))))))))) B) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(/ 1 (sin B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) |
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) |
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(/ 1 B) |
(/ (+ 1 (* 1/6 (pow B 2))) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
1 |
(+ 1 (* -1/2 (pow B 2))) |
(+ 1 (* (pow B 2) (- (* 1/24 (pow B 2)) 1/2))) |
(+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/24 (* -1/720 (pow B 2)))) 1/2))) |
(cos B) |
(cos B) |
(cos B) |
(cos B) |
(cos B) |
(cos B) |
(cos B) |
(cos B) |
B |
(* B (+ 1 (* -1/6 (pow B 2)))) |
(* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6)))) |
(* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6)))) |
(sin B) |
(sin B) |
(sin B) |
(sin B) |
(sin B) |
(sin B) |
(sin B) |
(sin B) |
(* 1/2 B) |
(* 1/2 B) |
(* 1/2 B) |
(* 1/2 B) |
B |
B |
B |
B |
(* -1 B) |
(* -1 B) |
(* -1 B) |
(* -1 B) |
(* 1/2 B) |
(* B (+ 1/2 (* 1/24 (pow B 2)))) |
(* B (+ 1/2 (* (pow B 2) (+ 1/24 (* 1/240 (pow B 2)))))) |
(* B (+ 1/2 (* (pow B 2) (+ 1/24 (* 1/240 (pow B 2)))))) |
(* 1/24 (pow B 9)) |
(* (pow B 9) (+ 1/24 (* 1/240 (/ 1 (pow B 5))))) |
(* (pow B 9) (+ 1/24 (+ (/ 1/2 (pow B 8)) (* 1/240 (/ 1 (pow B 5)))))) |
(* (pow B 9) (+ 1/24 (+ (/ 1/2 (pow B 8)) (* 1/240 (/ 1 (pow B 5)))))) |
(* -1/24 (pow B 10)) |
(* (pow B 10) (- (* 1/240 (/ 1 (pow B 5))) 1/24)) |
(* (pow B 10) (- (+ (/ 1/2 (pow B 9)) (* 1/240 (/ 1 (pow B 5)))) 1/24)) |
(* (pow B 10) (- (+ (/ 1/2 (pow B 9)) (* 1/240 (/ 1 (pow B 5)))) 1/24)) |
1/2 |
(+ 1/2 (* 1/24 (pow B 2))) |
(+ 1/2 (* (pow B 2) (+ 1/24 (* 1/240 (pow B 2))))) |
(+ 1/2 (* (pow B 2) (+ 1/24 (* 1/240 (pow B 2))))) |
(* 1/24 (pow B 8)) |
(* (pow B 8) (+ 1/24 (* 1/240 (/ 1 (pow B 5))))) |
(* (pow B 8) (+ 1/24 (+ (/ 1/2 (pow B 8)) (* 1/240 (/ 1 (pow B 5)))))) |
(* (pow B 8) (+ 1/24 (+ (/ 1/2 (pow B 8)) (* 1/240 (/ 1 (pow B 5)))))) |
(* 1/24 (pow B 8)) |
(* (pow B 8) (- 1/24 (* 1/240 (/ 1 (pow B 5))))) |
(* (pow B 8) (+ 1/24 (* -1 (/ (- 1/240 (* 1/2 (/ 1 (pow B 3)))) (pow B 5))))) |
(* (pow B 8) (+ 1/24 (* -1 (/ (- 1/240 (* 1/2 (/ 1 (pow B 3)))) (pow B 5))))) |
B |
B |
B |
B |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
1/24 |
(+ 1/24 (* 1/240 (pow B 3))) |
(+ 1/24 (* 1/240 (pow B 3))) |
(+ 1/24 (* 1/240 (pow B 3))) |
(* 1/240 (pow B 4)) |
(* (pow B 4) (+ 1/240 (* 1/24 (/ 1 (pow B 4))))) |
(* (pow B 4) (+ 1/240 (* 1/24 (/ 1 (pow B 4))))) |
(* (pow B 4) (+ 1/240 (* 1/24 (/ 1 (pow B 4))))) |
(* 1/240 (pow B 4)) |
(* (pow B 4) (+ 1/240 (* 1/24 (/ 1 (pow B 4))))) |
(* (pow B 4) (+ 1/240 (* 1/24 (/ 1 (pow B 4))))) |
(* (pow B 4) (+ 1/240 (* 1/24 (/ 1 (pow B 4))))) |
(/ (- 1 x) B) |
(/ (- (+ 1 (* (pow B 3) (+ 1/6 (* 1/3 x)))) x) B) |
(/ (- (+ 1 (* (pow B 3) (+ 1/6 (+ (* 1/3 x) (* (pow B 3) (+ 7/360 (* 1/45 x))))))) x) B) |
(/ (- (+ 1 (* (pow B 3) (+ 1/6 (+ (* 1/3 x) (* (pow B 3) (+ 7/360 (* 1/45 x))))))) x) B) |
(* 1/2 (pow B 8)) |
(* (pow B 8) (+ 1/2 (* 1/24 (/ 1 (pow B 5))))) |
(* (pow B 8) (- (+ 1/2 (+ (* 1/24 (/ 1 (pow B 5))) (/ 1 (pow B 9)))) (/ x (pow B 9)))) |
(* (pow B 8) (- (+ 1/2 (+ (* 1/24 (/ 1 (pow B 5))) (/ 1 (pow B 9)))) (/ x (pow B 9)))) |
(* 1/2 (pow B 9)) |
(* -1 (* (pow B 9) (- (* 1/24 (/ 1 (pow B 5))) 1/2))) |
(* -1 (* (pow B 9) (- (* -1 (/ (- (/ 1 (pow B 5)) (+ 1/24 (/ x (pow B 5)))) (pow B 5))) 1/2))) |
(* -1 (* (pow B 9) (- (* -1 (/ (- (/ 1 (pow B 5)) (+ 1/24 (/ x (pow B 5)))) (pow B 5))) 1/2))) |
(/ (+ 1 (* (pow B 3) (+ 1/6 (* 7/360 (pow B 3))))) B) |
(+ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 3)))) (/ 1 B))) (+ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 3)))) (/ 1 B))) |
(+ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 3)))) (/ 1 B))) (+ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 3)))) (/ 1 B))) |
(+ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 3)))) (/ 1 B))) (+ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 3)))) (/ 1 B))) |
(/ (* x (- (* (pow B 3) (+ 1/3 (* 1/45 (pow B 3)))) 1)) B) |
(* x (- (+ (* (pow B 2) (+ 1/3 (* 1/45 (pow B 3)))) (+ (/ 1 (* B x)) (/ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 3)))) x))) (/ 1 B))) |
(* x (- (+ (* (pow B 2) (+ 1/3 (* 1/45 (pow B 3)))) (+ (/ 1 (* B x)) (/ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 3)))) x))) (/ 1 B))) |
(* x (- (+ (* (pow B 2) (+ 1/3 (* 1/45 (pow B 3)))) (+ (/ 1 (* B x)) (/ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 3)))) x))) (/ 1 B))) |
(* -1 (/ (* x (+ 1 (* (pow B 3) (- (* -1/45 (pow B 3)) 1/3)))) B)) |
(* -1 (* x (+ (* -1 (/ (+ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 3)))) (/ 1 B)) x)) (+ (* (pow B 2) (- (* -1/45 (pow B 3)) 1/3)) (/ 1 B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 3)))) (/ 1 B)) x)) (+ (* (pow B 2) (- (* -1/45 (pow B 3)) 1/3)) (/ 1 B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 3)))) (/ 1 B)) x)) (+ (* (pow B 2) (- (* -1/45 (pow B 3)) 1/3)) (/ 1 B))))) |
(- 1 x) |
(- (+ 1 (* (pow B 3) (+ 1/6 (* 1/3 x)))) x) |
(- (+ 1 (* (pow B 3) (+ 1/6 (+ (* 1/3 x) (* (pow B 3) (+ 7/360 (* 1/45 x))))))) x) |
(- (+ 1 (* (pow B 3) (+ 1/6 (+ (* 1/3 x) (* (pow B 3) (+ 7/360 (* 1/45 x))))))) x) |
(* 1/2 (pow B 9)) |
(* (pow B 9) (+ 1/2 (* 1/24 (/ 1 (pow B 5))))) |
(* (pow B 9) (- (+ 1/2 (+ (* 1/24 (/ 1 (pow B 5))) (/ 1 (pow B 9)))) (/ x (pow B 9)))) |
(* (pow B 9) (- (+ 1/2 (+ (* 1/24 (/ 1 (pow B 5))) (/ 1 (pow B 9)))) (/ x (pow B 9)))) |
(* -1/2 (pow B 9)) |
(* -1 (* (pow B 9) (- 1/2 (* 1/24 (/ 1 (pow B 5)))))) |
(* -1 (* (pow B 9) (+ 1/2 (* -1 (/ (- (+ 1/24 (/ 1 (pow B 4))) (/ x (pow B 4))) (pow B 5)))))) |
(* -1 (* (pow B 9) (+ 1/2 (* -1 (/ (- (+ 1/24 (/ 1 (pow B 4))) (/ x (pow B 4))) (pow B 5)))))) |
(+ 1 (* (pow B 3) (+ 1/6 (* 7/360 (pow B 3))))) |
(+ 1 (+ (* x (- (* (pow B 3) (+ 1/3 (* 1/45 (pow B 3)))) 1)) (* (pow B 3) (+ 1/6 (* 7/360 (pow B 3)))))) |
(+ 1 (+ (* x (- (* (pow B 3) (+ 1/3 (* 1/45 (pow B 3)))) 1)) (* (pow B 3) (+ 1/6 (* 7/360 (pow B 3)))))) |
(+ 1 (+ (* x (- (* (pow B 3) (+ 1/3 (* 1/45 (pow B 3)))) 1)) (* (pow B 3) (+ 1/6 (* 7/360 (pow B 3)))))) |
(* x (- (* (pow B 3) (+ 1/3 (* 1/45 (pow B 3)))) 1)) |
(* x (- (+ (* (pow B 3) (+ 1/3 (* 1/45 (pow B 3)))) (+ (/ 1 x) (/ (* (pow B 3) (+ 1/6 (* 7/360 (pow B 3)))) x))) 1)) |
(* x (- (+ (* (pow B 3) (+ 1/3 (* 1/45 (pow B 3)))) (+ (/ 1 x) (/ (* (pow B 3) (+ 1/6 (* 7/360 (pow B 3)))) x))) 1)) |
(* x (- (+ (* (pow B 3) (+ 1/3 (* 1/45 (pow B 3)))) (+ (/ 1 x) (/ (* (pow B 3) (+ 1/6 (* 7/360 (pow B 3)))) x))) 1)) |
(* -1 (* x (+ 1 (* (pow B 3) (- (* -1/45 (pow B 3)) 1/3))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* (pow B 3) (+ 1/6 (* 7/360 (pow B 3))))) x)) (* (pow B 3) (- (* -1/45 (pow B 3)) 1/3)))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* (pow B 3) (+ 1/6 (* 7/360 (pow B 3))))) x)) (* (pow B 3) (- (* -1/45 (pow B 3)) 1/3)))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* (pow B 3) (+ 1/6 (* 7/360 (pow B 3))))) x)) (* (pow B 3) (- (* -1/45 (pow B 3)) 1/3)))))) |
(+ 1/6 (* 1/3 x)) |
(+ 1/6 (+ (* 1/3 x) (* (pow B 5) (+ 7/360 (* 1/45 x))))) |
(+ 1/6 (+ (* 1/3 x) (* (pow B 5) (+ 7/360 (* 1/45 x))))) |
(+ 1/6 (+ (* 1/3 x) (* (pow B 5) (+ 7/360 (* 1/45 x))))) |
(* 1/24 (pow B 4)) |
(* (pow B 4) (+ 1/24 (+ (* 1/3 (/ x (pow B 4))) (* 1/6 (/ 1 (pow B 4)))))) |
(* (pow B 4) (+ 1/24 (+ (* 1/3 (/ x (pow B 4))) (* 1/6 (/ 1 (pow B 4)))))) |
(* (pow B 4) (+ 1/24 (+ (* 1/3 (/ x (pow B 4))) (* 1/6 (/ 1 (pow B 4)))))) |
(* 1/24 (pow B 4)) |
(* (pow B 4) (+ 1/24 (+ (* 1/3 (/ x (pow B 4))) (* 1/6 (/ 1 (pow B 4)))))) |
(* (pow B 4) (+ 1/24 (+ (* 1/3 (/ x (pow B 4))) (* 1/6 (/ 1 (pow B 4)))))) |
(* (pow B 4) (+ 1/24 (+ (* 1/3 (/ x (pow B 4))) (* 1/6 (/ 1 (pow B 4)))))) |
(+ 1/6 (* 7/360 (pow B 5))) |
(+ 1/6 (+ (* 7/360 (pow B 5)) (* x (+ 1/3 (* 1/45 (pow B 5)))))) |
(+ 1/6 (+ (* 7/360 (pow B 5)) (* x (+ 1/3 (* 1/45 (pow B 5)))))) |
(+ 1/6 (+ (* 7/360 (pow B 5)) (* x (+ 1/3 (* 1/45 (pow B 5)))))) |
(* x (+ 1/3 (* 1/45 (pow B 7)))) |
(* x (+ 1/3 (+ (* 7/360 (/ (pow B 7) x)) (+ (* 1/45 (pow B 7)) (* 1/6 (/ 1 x)))))) |
(* x (+ 1/3 (+ (* 7/360 (/ (pow B 7) x)) (+ (* 1/45 (pow B 7)) (* 1/6 (/ 1 x)))))) |
(* x (+ 1/3 (+ (* 7/360 (/ (pow B 7) x)) (+ (* 1/45 (pow B 7)) (* 1/6 (/ 1 x)))))) |
(* -1 (* x (- (* -1/45 (pow B 3)) 1/3))) |
(* -1 (* x (- (+ (* -1 (/ (+ 1/6 (* 7/360 (pow B 3))) x)) (* -1/45 (pow B 3))) 1/3))) |
(* -1 (* x (- (+ (* -1 (/ (+ 1/6 (* 7/360 (pow B 3))) x)) (* -1/45 (pow B 3))) 1/3))) |
(* -1 (* x (- (+ (* -1 (/ (+ 1/6 (* 7/360 (pow B 3))) x)) (* -1/45 (pow B 3))) 1/3))) |
(/ (+ 1 (* -1 x)) B) |
(/ (+ 1 (+ (* -1 x) (* (pow B 2) (- (* 1/6 x) (* -1/6 (+ 1 (* -1 x))))))) B) |
(/ (+ 1 (+ (* -1 x) (* (pow B 2) (- (+ (* 1/6 x) (* (pow B 2) (- (* -1/120 x) (+ (* -1/6 (- (* 1/6 x) (* -1/6 (+ 1 (* -1 x))))) (* 1/120 (+ 1 (* -1 x))))))) (* -1/6 (+ 1 (* -1 x))))))) B) |
(/ (+ 1 (+ (* -1 x) (* (pow B 2) (- (+ (* 1/6 x) (* (pow B 2) (- (+ (* -1/120 x) (* (pow B 2) (- (* 1/5040 x) (+ (* -1/6 (- (* -1/120 x) (+ (* -1/6 (- (* 1/6 x) (* -1/6 (+ 1 (* -1 x))))) (* 1/120 (+ 1 (* -1 x)))))) (+ (* -1/5040 (+ 1 (* -1 x))) (* 1/120 (- (* 1/6 x) (* -1/6 (+ 1 (* -1 x)))))))))) (+ (* -1/6 (- (* 1/6 x) (* -1/6 (+ 1 (* -1 x))))) (* 1/120 (+ 1 (* -1 x))))))) (* -1/6 (+ 1 (* -1 x))))))) B) |
(/ 1 (sin B)) |
(+ (* -1 (/ x B)) (/ 1 (sin B))) |
(+ (* -1 (/ x B)) (/ 1 (sin B))) |
(+ (* -1 (/ x B)) (/ 1 (sin B))) |
(/ 1 (sin B)) |
(+ (* -1 (/ x B)) (/ 1 (sin B))) |
(+ (* -1 (/ x B)) (/ 1 (sin B))) |
(+ (* -1 (/ x B)) (/ 1 (sin B))) |
(/ 1 (sin B)) |
(+ (* -1 (/ x B)) (/ 1 (sin B))) |
(+ (* -1 (/ x B)) (/ 1 (sin B))) |
(+ (* -1 (/ x B)) (/ 1 (sin B))) |
(* -1 (/ x B)) |
(* x (- (/ 1 (* x (sin B))) (/ 1 B))) |
(* x (- (/ 1 (* x (sin B))) (/ 1 B))) |
(* x (- (/ 1 (* x (sin B))) (/ 1 B))) |
(* -1 (/ x B)) |
(* -1 (* x (- (/ 1 B) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ 1 B) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ 1 B) (/ 1 (* x (sin B)))))) |
(* B (+ 1 (* -1 x))) |
(* B (+ 1 (+ (* -1 x) (* 1/6 (* (pow B 2) x))))) |
(* B (+ 1 (+ (* -1 x) (* (pow B 2) (+ (* -1/120 (* (pow B 2) x)) (* 1/6 x)))))) |
(* B (+ 1 (+ (* -1 x) (* (pow B 2) (+ (* 1/6 x) (* (pow B 2) (+ (* -1/120 x) (* 1/5040 (* (pow B 2) x))))))))) |
B |
(* B (+ 1 (* -1 (/ (* x (sin B)) B)))) |
(* B (+ 1 (* -1 (/ (* x (sin B)) B)))) |
(* B (+ 1 (* -1 (/ (* x (sin B)) B)))) |
B |
(* -1 (* B (- (/ (* x (sin B)) B) 1))) |
(* -1 (* B (- (/ (* x (sin B)) B) 1))) |
(* -1 (* B (- (/ (* x (sin B)) B) 1))) |
B |
(+ B (* -1 (* x (sin B)))) |
(+ B (* -1 (* x (sin B)))) |
(+ B (* -1 (* x (sin B)))) |
(* -1 (* x (sin B))) |
(* x (+ (* -1 (sin B)) (/ B x))) |
(* x (+ (* -1 (sin B)) (/ B x))) |
(* x (+ (* -1 (sin B)) (/ B x))) |
(* -1 (* x (sin B))) |
(* -1 (* x (+ (sin B) (* -1 (/ B x))))) |
(* -1 (* x (+ (sin B) (* -1 (/ B x))))) |
(* -1 (* x (+ (sin B) (* -1 (/ B x))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ 1 B) |
(/ (+ 1 (* 1/6 (pow B 2))) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
(/ 1 (sin B)) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
1/6 |
(+ 1/6 (* 1/3 x)) |
(+ 1/6 (* 1/3 x)) |
(+ 1/6 (* 1/3 x)) |
(* 1/3 x) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(* 1/3 x) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(pow B 2) |
(* (pow B 2) (+ 1 (* -1/6 (pow B 2)))) |
(* (pow B 2) (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6)))) |
(* (pow B 2) (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6)))) |
(* B (sin B)) |
(* B (sin B)) |
(* B (sin B)) |
(* B (sin B)) |
(* B (sin B)) |
(* B (sin B)) |
(* B (sin B)) |
(* B (sin B)) |
| Outputs |
|---|
(/ (+ 1 (* -1 x)) B) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (* -1 (- (* -1/2 x) (* -1/6 x))))))) B) |
(/.f64 (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (* (pow B 2) (+ 7/360 (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))))))))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (-.f64 #s(literal 7/360 binary64) (fma.f64 x #s(literal -1/72 binary64) (*.f64 x #s(literal -1/120 binary64)))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (* (pow B 2) (+ 7/360 (+ (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)))) (* (pow B 2) (+ 31/15120 (* -1 (- (* -1/720 x) (+ (* -1/6 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)))) (+ (* -1/5040 x) (* 1/120 (- (* -1/2 x) (* -1/6 x))))))))))))))))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (*.f64 B B) (+.f64 #s(literal 7/360 binary64) (fma.f64 (*.f64 B B) (+.f64 #s(literal 31/15120 binary64) (fma.f64 x #s(literal 1/720 binary64) (fma.f64 x #s(literal -1/336 binary64) (*.f64 #s(literal -1/6 binary64) (fma.f64 x #s(literal -1/72 binary64) (*.f64 x #s(literal -1/120 binary64))))))) (fma.f64 x #s(literal -1/24 binary64) (*.f64 x #s(literal 23/360 binary64))))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(neg.f64 (fma.f64 (cos.f64 B) (/.f64 x (sin.f64 B)) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(neg.f64 (fma.f64 (cos.f64 B) (/.f64 x (sin.f64 B)) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(neg.f64 (fma.f64 (cos.f64 B) (/.f64 x (sin.f64 B)) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B))))) |
(/ 1 B) |
(/.f64 #s(literal 1 binary64) B) |
(/ (+ 1 (* 1/6 (pow B 2))) B) |
(/.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B) |
(/ (cos B) (sin B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/ (cos B) (sin B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/ (cos B) (sin B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/ (cos B) (sin B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/ (cos B) (sin B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/ (cos B) (sin B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/ (cos B) (sin B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/ (cos B) (sin B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow B 2))) |
(fma.f64 B (*.f64 B #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow B 2) (- (* 1/24 (pow B 2)) 1/2))) |
(fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/24 (* -1/720 (pow B 2)))) 1/2))) |
(fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(cos B) |
(cos.f64 B) |
(cos B) |
(cos.f64 B) |
(cos B) |
(cos.f64 B) |
(cos B) |
(cos.f64 B) |
(cos B) |
(cos.f64 B) |
(cos B) |
(cos.f64 B) |
(cos B) |
(cos.f64 B) |
(cos B) |
(cos.f64 B) |
B |
(* B (+ 1 (* -1/6 (pow B 2)))) |
(fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B) |
(* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 B (*.f64 B B)) B) |
(* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 B (*.f64 B B)) B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(* 1/2 B) |
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B |
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(* 1/240 (pow B 4)) |
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(/ (+ 1 (* 1/6 (pow B 2))) B) |
(/.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/3 x)) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/3 x)) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/3 x)) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
(pow B 2) |
(*.f64 B B) |
(* (pow B 2) (+ 1 (* -1/6 (pow B 2)))) |
(*.f64 B (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B)) |
(* (pow B 2) (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6)))) |
(*.f64 B (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 B (*.f64 B B)) B)) |
(* (pow B 2) (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6)))) |
(*.f64 B (fma.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 B (*.f64 B B)) B)) |
(* B (sin B)) |
(*.f64 B (sin.f64 B)) |
(* B (sin B)) |
(*.f64 B (sin.f64 B)) |
(* B (sin B)) |
(*.f64 B (sin.f64 B)) |
(* B (sin B)) |
(*.f64 B (sin.f64 B)) |
(* B (sin B)) |
(*.f64 B (sin.f64 B)) |
(* B (sin B)) |
(*.f64 B (sin.f64 B)) |
(* B (sin B)) |
(*.f64 B (sin.f64 B)) |
(* B (sin B)) |
(*.f64 B (sin.f64 B)) |
Compiled 40 676 to 2 972 computations (92.7% saved)
39 alts after pruning (36 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 083 | 14 | 1 097 |
| Fresh | 12 | 22 | 34 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 099 | 39 | 1 138 |
| Status | Accuracy | Program |
|---|---|---|
| 74.9% | (fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) B)) | |
| 74.9% | (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) B)) | |
| 51.2% | (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) B) B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))) B) | |
| 62.8% | (/.f64 (fma.f64 (*.f64 (cos.f64 B) (neg.f64 x)) (sin.f64 B) (sin.f64 B)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) | |
| 51.0% | (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) x)) B) | |
| 51.2% | (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) | |
| 51.2% | (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) x)) B) | |
| 25.8% | (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (neg.f64 x)) B) | |
| 50.8% | (/.f64 (fma.f64 (*.f64 B B) (*.f64 (neg.f64 x) (fma.f64 (*.f64 B (*.f64 B B)) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) (-.f64 #s(literal 1 binary64) x)) B) | |
| 85.5% | (/.f64 (fma.f64 (sin.f64 B) (neg.f64 x) (tan.f64 B)) (*.f64 (sin.f64 B) (tan.f64 B))) | |
| 61.9% | (/.f64 (fma.f64 x (neg.f64 B) B) (*.f64 B (sin.f64 B))) | |
| 50.1% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B) | |
| 51.0% | (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) | |
| 51.2% | (/.f64 (-.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) | |
| 36.7% | (/.f64 (-.f64 B (*.f64 B x)) (*.f64 B B)) | |
| ▶ | 99.7% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
| ✓ | 51.2% | (/.f64 (-.f64 #s(literal 1 binary64) x) B) |
| 49.4% | (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) | |
| 25.7% | (/.f64 (neg.f64 x) B) | |
| 51.6% | (/.f64 #s(literal 1 binary64) (sin.f64 B)) | |
| 27.5% | (/.f64 #s(literal 1 binary64) B) | |
| 46.6% | (-.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1/2 binary64)) (/.f64 x (tan.f64 B))) | |
| ▶ | 51.2% | (-.f64 (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) (/.f64 x B)) |
| ✓ | 99.8% | (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| 99.7% | (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))) | |
| 74.9% | (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B))) | |
| 22.6% | (+.f64 (neg.f64 (/.f64 x B)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1/2 binary64))) | |
| 34.3% | (+.f64 (neg.f64 (/.f64 x B)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)))) | |
| 51.3% | (+.f64 (neg.f64 (/.f64 x B)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 B (*.f64 B B)) B))) | |
| 62.9% | (+.f64 (neg.f64 (*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) B)) | |
| 60.9% | (*.f64 (fma.f64 (sin.f64 B) (neg.f64 x) B) (/.f64 #s(literal 1 binary64) (*.f64 B (sin.f64 B)))) | |
| 51.2% | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x)) | |
| ▶ | 49.4% | (*.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B)))) |
| ▶ | 2.8% | (*.f64 B (fma.f64 (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64))) B #s(literal 1/2 binary64))) |
| 2.8% | (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B #s(literal 1/240 binary64)) B #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) | |
| 2.7% | (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) | |
| ✓ | 3.1% | (*.f64 #s(literal 1/2 binary64) B) |
| 2.3% | (*.f64 #s(literal -1/24 binary64) (pow.f64 B #s(literal 10 binary64))) | |
| ▶ | 2.6% | (neg.f64 B) |
Compiled 1 099 to 725 computations (34% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 x (sin.f64 B)) |
| ✓ | cost-diff | 0 | (neg.f64 (/.f64 x (sin.f64 B))) |
| ✓ | cost-diff | 0 | (cos.f64 B) |
| ✓ | cost-diff | 0 | (*.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B)))) |
| ✓ | cost-diff | 0 | (*.f64 B B) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) |
| ✓ | cost-diff | 384 | (-.f64 (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) (/.f64 x B)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64))) B #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 B (fma.f64 (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64))) B #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (neg.f64 B) |
| ✓ | cost-diff | 0 | (cos.f64 B) |
| ✓ | cost-diff | 0 | (*.f64 (cos.f64 B) x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x)) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
| 15 442× | lower-fma.f32 |
| 15 430× | lower-fma.f64 |
| 3 346× | lower-*.f32 |
| 3 334× | lower-*.f64 |
| 2 298× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 195 |
| 0 | 60 | 195 |
| 1 | 132 | 195 |
| 2 | 303 | 195 |
| 3 | 763 | 195 |
| 4 | 1690 | 195 |
| 5 | 2208 | 195 |
| 6 | 2723 | 195 |
| 7 | 3817 | 195 |
| 8 | 6289 | 195 |
| 0 | 8158 | 195 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x)) |
#s(literal 1 binary64) |
(*.f64 (cos.f64 B) x) |
(cos.f64 B) |
B |
x |
(sin.f64 B) |
(neg.f64 B) |
B |
(*.f64 B (fma.f64 (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64))) B #s(literal 1/2 binary64))) |
B |
(fma.f64 (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64))) B #s(literal 1/2 binary64)) |
(*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64))) |
(fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) |
(*.f64 B B) |
#s(literal 1/240 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
(-.f64 (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) (/.f64 x B)) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) |
(fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(*.f64 B B) |
B |
(fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
(*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) |
(fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) |
x |
#s(literal 1/45 binary64) |
#s(literal 7/360 binary64) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
#s(literal 1/3 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(/.f64 x B) |
(*.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B)))) |
(cos.f64 B) |
B |
(neg.f64 (/.f64 x (sin.f64 B))) |
(/.f64 x (sin.f64 B)) |
x |
(sin.f64 B) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x)) |
#s(literal 1 binary64) |
(*.f64 (cos.f64 B) x) |
(cos.f64 B) |
B |
x |
(sin.f64 B) |
(neg.f64 B) |
B |
(*.f64 B (fma.f64 (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64))) B #s(literal 1/2 binary64))) |
(*.f64 B (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64))) |
B |
(fma.f64 (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64))) B #s(literal 1/2 binary64)) |
(fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)) |
(*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64))) |
(fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) |
(*.f64 B B) |
#s(literal 1/240 binary64) |
#s(literal 1/24 binary64) |
#s(literal 1/2 binary64) |
(-.f64 (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) (/.f64 x B)) |
(*.f64 (/.f64 #s(literal -1 binary64) B) (-.f64 x (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) |
(fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(*.f64 B B) |
B |
(fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
(*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) |
(fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) |
x |
#s(literal 1/45 binary64) |
#s(literal 7/360 binary64) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
#s(literal 1/3 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(/.f64 x B) |
(*.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B)))) |
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(cos.f64 B) |
B |
(neg.f64 (/.f64 x (sin.f64 B))) |
(/.f64 (neg.f64 x) (sin.f64 B)) |
(/.f64 x (sin.f64 B)) |
x |
(sin.f64 B) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 3.8% | (sin.f64 B) |
| ✓ | accuracy | 3.5% | (cos.f64 B) |
| ✓ | accuracy | 3.5% | (/.f64 x (sin.f64 B)) |
| ✓ | accuracy | 3.2% | (*.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B)))) |
| ✓ | accuracy | 4.8% | (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) |
| ✓ | accuracy | 4.2% | (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 3.8% | (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) |
| ✓ | accuracy | 3.4% | (-.f64 (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) (/.f64 x B)) |
| ✓ | accuracy | 34.6% | (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) |
| ✓ | accuracy | 28.9% | (fma.f64 (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64))) B #s(literal 1/2 binary64)) |
| ✓ | accuracy | 6.9% | (*.f64 B B) |
| ✓ | accuracy | 4.5% | (*.f64 B (fma.f64 (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64))) B #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (neg.f64 B) |
| ✓ | accuracy | 4.2% | (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x)) |
| ✓ | accuracy | 3.8% | (sin.f64 B) |
| ✓ | accuracy | 3.5% | (cos.f64 B) |
| ✓ | accuracy | 3.5% | (*.f64 (cos.f64 B) x) |
| 88.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 3 | valid |
Compiled 418 to 72 computations (82.8% saved)
const: 20.0ms (28.4% of total)ival-mult: 17.0ms (24.1% of total)ival-add: 9.0ms (12.8% of total)ival-cos: 8.0ms (11.3% of total)ival-div: 7.0ms (9.9% of total)ival-sin: 6.0ms (8.5% of total)ival-sub: 2.0ms (2.8% of total)ival-neg: 2.0ms (2.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x)) (sin.f64 B))> |
#<alt (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x))> |
#<alt (*.f64 (cos.f64 B) x)> |
#<alt (cos.f64 B)> |
#<alt (neg.f64 B)> |
#<alt (*.f64 B (fma.f64 (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64))) B #s(literal 1/2 binary64)))> |
#<alt (fma.f64 (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64))) B #s(literal 1/2 binary64))> |
#<alt (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64)))> |
#<alt (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64))> |
#<alt (-.f64 (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) (/.f64 x B))> |
#<alt (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B)> |
#<alt (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))> |
#<alt (*.f64 B B)> |
#<alt (*.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B))))> |
#<alt (neg.f64 (/.f64 x (sin.f64 B)))> |
#<alt (/.f64 x (sin.f64 B))> |
#<alt (sin.f64 B)> |
#<alt (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))> |
#<alt (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))> |
| Outputs |
|---|
#<alt (/ (- 1 x) B)> |
#<alt (/ (- (+ 1 (* (pow B 2) (- (* 1/2 x) (* -1/6 (- 1 x))))) x) B)> |
#<alt (/ (- (+ 1 (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (* -1/6 (- 1 x))))) x) B)> |
#<alt (/ (- (+ 1 (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (+ (* -1/24 x) (* (pow B 2) (- (* 1/720 x) (+ (* -1/6 (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x))))) (+ (* -1/5040 (- 1 x)) (* 1/120 (- (* 1/2 x) (* -1/6 (- 1 x))))))))) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (* -1/6 (- 1 x))))) x) B)> |
#<alt (/ (- 1 (* x (cos B))) (sin B))> |
#<alt (/ (- 1 (* x (cos B))) (sin B))> |
#<alt (/ (- 1 (* x (cos B))) (sin B))> |
#<alt (/ (- 1 (* x (cos B))) (sin B))> |
#<alt (/ (- 1 (* x (cos B))) (sin B))> |
#<alt (/ (- 1 (* x (cos B))) (sin B))> |
#<alt (/ (- 1 (* x (cos B))) (sin B))> |
#<alt (/ (- 1 (* x (cos B))) (sin B))> |
#<alt (/ 1 (sin B))> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))> |
#<alt (* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))> |
#<alt (* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))> |
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))> |
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))> |
#<alt (- 1 x)> |
#<alt (- (+ 1 (* 1/2 (* (pow B 2) x))) x)> |
#<alt (- (+ 1 (* (pow B 2) (- (* -1/24 (* (pow B 2) x)) (* -1/2 x)))) x)> |
#<alt (- (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* 1/720 (* (pow B 2) x)) (* 1/24 x))) (* -1/2 x)))) x)> |
#<alt (- 1 (* x (cos B)))> |
#<alt (- 1 (* x (cos B)))> |
#<alt (- 1 (* x (cos B)))> |
#<alt (- 1 (* x (cos B)))> |
#<alt (- 1 (* x (cos B)))> |
#<alt (- 1 (* x (cos B)))> |
#<alt (- 1 (* x (cos B)))> |
#<alt (- 1 (* x (cos B)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (* x (cos B))))> |
#<alt (+ 1 (* -1 (* x (cos B))))> |
#<alt (+ 1 (* -1 (* x (cos B))))> |
#<alt (* -1 (* x (cos B)))> |
#<alt (* x (- (/ 1 x) (cos B)))> |
#<alt (* x (- (/ 1 x) (cos B)))> |
#<alt (* x (- (/ 1 x) (cos B)))> |
#<alt (* -1 (* x (cos B)))> |
#<alt (* x (+ (* -1 (cos B)) (/ 1 x)))> |
#<alt (* x (+ (* -1 (cos B)) (/ 1 x)))> |
#<alt (* x (+ (* -1 (cos B)) (/ 1 x)))> |
#<alt x> |
#<alt (+ x (* -1/2 (* (pow B 2) x)))> |
#<alt (+ x (* (pow B 2) (+ (* -1/2 x) (* 1/24 (* (pow B 2) x)))))> |
#<alt (+ x (* (pow B 2) (+ (* -1/2 x) (* (pow B 2) (+ (* -1/720 (* (pow B 2) x)) (* 1/24 x))))))> |
#<alt (* x (cos B))> |
#<alt (* x (cos B))> |
#<alt (* x (cos B))> |
#<alt (* x (cos B))> |
#<alt (* x (cos B))> |
#<alt (* x (cos B))> |
#<alt (* x (cos B))> |
#<alt (* x (cos B))> |
#<alt (* x (cos B))> |
#<alt (* x (cos B))> |
#<alt (* x (cos B))> |
#<alt (* x (cos B))> |
#<alt (* x (cos B))> |
#<alt (* x (cos B))> |
#<alt (* x (cos B))> |
#<alt (* x (cos B))> |
#<alt (* x (cos B))> |
#<alt (* x (cos B))> |
#<alt (* x (cos B))> |
#<alt (* x (cos B))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow B 2)))> |
#<alt (+ 1 (* (pow B 2) (- (* 1/24 (pow B 2)) 1/2)))> |
#<alt (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/24 (* -1/720 (pow B 2)))) 1/2)))> |
#<alt (cos B)> |
#<alt (cos B)> |
#<alt (cos B)> |
#<alt (cos B)> |
#<alt (cos B)> |
#<alt (cos B)> |
#<alt (cos B)> |
#<alt (cos B)> |
#<alt (* -1 B)> |
#<alt (* -1 B)> |
#<alt (* -1 B)> |
#<alt (* -1 B)> |
#<alt (* -1 B)> |
#<alt (* -1 B)> |
#<alt (* -1 B)> |
#<alt (* -1 B)> |
#<alt (* -1 B)> |
#<alt (* -1 B)> |
#<alt (* -1 B)> |
#<alt (* -1 B)> |
#<alt (* 1/2 B)> |
#<alt (* B (+ 1/2 (* 1/24 (pow B 2))))> |
#<alt (* B (+ 1/2 (* (pow B 2) (+ 1/24 (* 1/240 (pow B 2))))))> |
#<alt (* B (+ 1/2 (* (pow B 2) (+ 1/24 (* 1/240 (pow B 2))))))> |
#<alt (* 1/24 (pow B 9))> |
#<alt (* (pow B 9) (+ 1/24 (* 1/240 (/ 1 (pow B 5)))))> |
#<alt (* (pow B 9) (+ 1/24 (+ (/ 1/2 (pow B 8)) (* 1/240 (/ 1 (pow B 5))))))> |
#<alt (* (pow B 9) (+ 1/24 (+ (/ 1/2 (pow B 8)) (* 1/240 (/ 1 (pow B 5))))))> |
#<alt (* -1/24 (pow B 10))> |
#<alt (* (pow B 10) (- (* 1/240 (/ 1 (pow B 5))) 1/24))> |
#<alt (* (pow B 10) (- (+ (/ 1/2 (pow B 9)) (* 1/240 (/ 1 (pow B 5)))) 1/24))> |
#<alt (* (pow B 10) (- (+ (/ 1/2 (pow B 9)) (* 1/240 (/ 1 (pow B 5)))) 1/24))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/24 (pow B 2)))> |
#<alt (+ 1/2 (* (pow B 2) (+ 1/24 (* 1/240 (pow B 2)))))> |
#<alt (+ 1/2 (* (pow B 2) (+ 1/24 (* 1/240 (pow B 2)))))> |
#<alt (* 1/24 (pow B 8))> |
#<alt (* (pow B 8) (+ 1/24 (* 1/240 (/ 1 (pow B 5)))))> |
#<alt (* (pow B 8) (+ 1/24 (+ (/ 1/2 (pow B 8)) (* 1/240 (/ 1 (pow B 5))))))> |
#<alt (* (pow B 8) (+ 1/24 (+ (/ 1/2 (pow B 8)) (* 1/240 (/ 1 (pow B 5))))))> |
#<alt (* 1/24 (pow B 8))> |
#<alt (* (pow B 8) (- 1/24 (* 1/240 (/ 1 (pow B 5)))))> |
#<alt (* (pow B 8) (+ 1/24 (* -1 (/ (- 1/240 (* 1/2 (/ 1 (pow B 3)))) (pow B 5)))))> |
#<alt (* (pow B 8) (+ 1/24 (* -1 (/ (- 1/240 (* 1/2 (/ 1 (pow B 3)))) (pow B 5)))))> |
#<alt (* 1/24 B)> |
#<alt (* B (+ 1/24 (* 1/240 (pow B 3))))> |
#<alt (* B (+ 1/24 (* 1/240 (pow B 3))))> |
#<alt (* B (+ 1/24 (* 1/240 (pow B 3))))> |
#<alt (* 1/240 (pow B 5))> |
#<alt (* (pow B 5) (+ 1/240 (* 1/24 (/ 1 (pow B 4)))))> |
#<alt (* (pow B 5) (+ 1/240 (* 1/24 (/ 1 (pow B 4)))))> |
#<alt (* (pow B 5) (+ 1/240 (* 1/24 (/ 1 (pow B 4)))))> |
#<alt (* -1/240 (pow B 6))> |
#<alt (* (pow B 6) (- (* 1/24 (/ 1 (pow B 5))) 1/240))> |
#<alt (* (pow B 6) (- (* 1/24 (/ 1 (pow B 5))) 1/240))> |
#<alt (* (pow B 6) (- (* 1/24 (/ 1 (pow B 5))) 1/240))> |
#<alt 1/24> |
#<alt (+ 1/24 (* 1/240 (pow B 3)))> |
#<alt (+ 1/24 (* 1/240 (pow B 3)))> |
#<alt (+ 1/24 (* 1/240 (pow B 3)))> |
#<alt (* 1/240 (pow B 4))> |
#<alt (* (pow B 4) (+ 1/240 (* 1/24 (/ 1 (pow B 4)))))> |
#<alt (* (pow B 4) (+ 1/240 (* 1/24 (/ 1 (pow B 4)))))> |
#<alt (* (pow B 4) (+ 1/240 (* 1/24 (/ 1 (pow B 4)))))> |
#<alt (* 1/240 (pow B 4))> |
#<alt (* (pow B 4) (+ 1/240 (* 1/24 (/ 1 (pow B 4)))))> |
#<alt (* (pow B 4) (+ 1/240 (* 1/24 (/ 1 (pow B 4)))))> |
#<alt (* (pow B 4) (+ 1/240 (* 1/24 (/ 1 (pow B 4)))))> |
#<alt (* B (+ 1/6 (* 1/3 x)))> |
#<alt (* B (+ 1/6 (+ (* 1/3 x) (* (pow B 5) (+ 7/360 (* 1/45 x))))))> |
#<alt (* B (+ 1/6 (+ (* 1/3 x) (* (pow B 5) (+ 7/360 (* 1/45 x))))))> |
#<alt (* B (+ 1/6 (+ (* 1/3 x) (* (pow B 5) (+ 7/360 (* 1/45 x))))))> |
#<alt (* 1/2 (pow B 8))> |
#<alt (* (pow B 8) (+ 1/2 (* 1/24 (/ 1 (pow B 5)))))> |
#<alt (* (pow B 8) (- (+ 1/2 (+ (* 1/24 (/ 1 (pow B 5))) (/ 1 (pow B 9)))) (/ x (pow B 9))))> |
#<alt (* (pow B 8) (- (+ 1/2 (+ (* 1/24 (/ 1 (pow B 5))) (/ 1 (pow B 9)))) (/ x (pow B 9))))> |
#<alt (* 1/2 (pow B 9))> |
#<alt (* -1 (* (pow B 9) (- (* 1/24 (/ 1 (pow B 5))) 1/2)))> |
#<alt (* -1 (* (pow B 9) (- (* -1 (/ (- (+ (* -1 (/ x (pow B 5))) (/ 1 (pow B 5))) 1/24) (pow B 5))) 1/2)))> |
#<alt (* -1 (* (pow B 9) (- (* -1 (/ (- (+ (* -1 (/ x (pow B 5))) (/ 1 (pow B 5))) 1/24) (pow B 5))) 1/2)))> |
#<alt (* B (+ 1/6 (* 7/360 (pow B 5))))> |
#<alt (+ (* B (* x (+ 1/3 (* 1/45 (pow B 5))))) (* B (+ 1/6 (* 7/360 (pow B 5)))))> |
#<alt (+ (* B (* x (+ 1/3 (* 1/45 (pow B 5))))) (* B (+ 1/6 (* 7/360 (pow B 5)))))> |
#<alt (+ (* B (* x (+ 1/3 (* 1/45 (pow B 5))))) (* B (+ 1/6 (* 7/360 (pow B 5)))))> |
#<alt (* x (- (* B (+ 1/3 (* 1/45 (pow B 7)))) (/ 1 B)))> |
#<alt (* x (- (+ (* B (+ 1/3 (* 1/45 (pow B 7)))) (+ (/ 1 (* B x)) (/ (* B (+ 1/6 (* 7/360 (pow B 7)))) x))) (/ 1 B)))> |
#<alt (* x (- (+ (* B (+ 1/3 (* 1/45 (pow B 7)))) (+ (/ 1 (* B x)) (/ (* B (+ 1/6 (* 7/360 (pow B 7)))) x))) (/ 1 B)))> |
#<alt (* x (- (+ (* B (+ 1/3 (* 1/45 (pow B 7)))) (+ (/ 1 (* B x)) (/ (* B (+ 1/6 (* 7/360 (pow B 7)))) x))) (/ 1 B)))> |
#<alt (* -1 (* x (+ (* B (- (* -1/45 (pow B 3)) 1/3)) (/ 1 B))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* B (+ 1/6 (* 7/360 (pow B 3)))) (/ 1 B)) x)) (+ (* B (- (* -1/45 (pow B 3)) 1/3)) (/ 1 B)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* B (+ 1/6 (* 7/360 (pow B 3)))) (/ 1 B)) x)) (+ (* B (- (* -1/45 (pow B 3)) 1/3)) (/ 1 B)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* B (+ 1/6 (* 7/360 (pow B 3)))) (/ 1 B)) x)) (+ (* B (- (* -1/45 (pow B 3)) 1/3)) (/ 1 B)))))> |
#<alt (/ 1 B)> |
#<alt (/ (+ 1 (* (pow B 3) (+ 1/6 (* 1/3 x)))) B)> |
#<alt (/ (+ 1 (* (pow B 3) (+ 1/6 (+ (* 1/3 x) (* (pow B 3) (+ 7/360 (* 1/45 x))))))) B)> |
#<alt (/ (+ 1 (* (pow B 3) (+ 1/6 (+ (* 1/3 x) (* (pow B 3) (+ 7/360 (* 1/45 x))))))) B)> |
#<alt (* 1/2 (pow B 8))> |
#<alt (* (pow B 8) (+ 1/2 (* 1/24 (/ 1 (pow B 5)))))> |
#<alt (* (pow B 8) (+ 1/2 (+ (* 1/24 (/ 1 (pow B 5))) (/ 1 (pow B 9)))))> |
#<alt (* (pow B 8) (+ 1/2 (+ (* 1/24 (/ 1 (pow B 5))) (/ 1 (pow B 9)))))> |
#<alt (* 1/2 (pow B 9))> |
#<alt (* -1 (* (pow B 9) (- (* 1/24 (/ 1 (pow B 5))) 1/2)))> |
#<alt (* -1 (* (pow B 9) (- (* -1 (/ (- (/ 1 (pow B 5)) 1/24) (pow B 5))) 1/2)))> |
#<alt (* -1 (* (pow B 9) (- (* -1 (/ (- (/ 1 (pow B 5)) 1/24) (pow B 5))) 1/2)))> |
#<alt (/ (+ 1 (* (pow B 3) (+ 1/6 (* 7/360 (pow B 3))))) B)> |
#<alt (+ (* (pow B 2) (* x (+ 1/3 (* 1/45 (pow B 3))))) (+ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 3)))) (/ 1 B)))> |
#<alt (+ (* (pow B 2) (* x (+ 1/3 (* 1/45 (pow B 3))))) (+ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 3)))) (/ 1 B)))> |
#<alt (+ (* (pow B 2) (* x (+ 1/3 (* 1/45 (pow B 3))))) (+ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 3)))) (/ 1 B)))> |
#<alt (* (pow B 2) (* x (+ 1/3 (* 1/45 (pow B 3)))))> |
#<alt (* x (+ (* (pow B 2) (+ 1/3 (* 1/45 (pow B 3)))) (+ (/ 1 (* B x)) (/ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 3)))) x))))> |
#<alt (* x (+ (* (pow B 2) (+ 1/3 (* 1/45 (pow B 3)))) (+ (/ 1 (* B x)) (/ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 3)))) x))))> |
#<alt (* x (+ (* (pow B 2) (+ 1/3 (* 1/45 (pow B 3)))) (+ (/ 1 (* B x)) (/ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 3)))) x))))> |
#<alt (* -1 (* (pow B 2) (* x (- (* -1/45 (pow B 3)) 1/3))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 3)))) (/ 1 B)) x)) (* (pow B 2) (- (* -1/45 (pow B 3)) 1/3)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 3)))) (/ 1 B)) x)) (* (pow B 2) (- (* -1/45 (pow B 3)) 1/3)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 3)))) (/ 1 B)) x)) (* (pow B 2) (- (* -1/45 (pow B 3)) 1/3)))))> |
#<alt 1> |
#<alt (+ 1 (* (pow B 3) (+ 1/6 (* 1/3 x))))> |
#<alt (+ 1 (* (pow B 3) (+ 1/6 (+ (* 1/3 x) (* (pow B 3) (+ 7/360 (* 1/45 x)))))))> |
#<alt (+ 1 (* (pow B 3) (+ 1/6 (+ (* 1/3 x) (* (pow B 3) (+ 7/360 (* 1/45 x)))))))> |
#<alt (* 1/2 (pow B 9))> |
#<alt (* (pow B 9) (+ 1/2 (* 1/24 (/ 1 (pow B 5)))))> |
#<alt (* (pow B 9) (+ 1/2 (+ (* 1/24 (/ 1 (pow B 5))) (/ 1 (pow B 9)))))> |
#<alt (* (pow B 9) (+ 1/2 (+ (* 1/24 (/ 1 (pow B 5))) (/ 1 (pow B 9)))))> |
#<alt (* -1/2 (pow B 9))> |
#<alt (* -1 (* (pow B 9) (- 1/2 (* 1/24 (/ 1 (pow B 5))))))> |
#<alt (* -1 (* (pow B 9) (+ 1/2 (* -1 (/ (+ 1/24 (/ 1 (pow B 4))) (pow B 5))))))> |
#<alt (* -1 (* (pow B 9) (+ 1/2 (* -1 (/ (+ 1/24 (/ 1 (pow B 4))) (pow B 5))))))> |
#<alt (+ 1 (* (pow B 3) (+ 1/6 (* 7/360 (pow B 3)))))> |
#<alt (+ 1 (+ (* (pow B 3) (* x (+ 1/3 (* 1/45 (pow B 3))))) (* (pow B 3) (+ 1/6 (* 7/360 (pow B 3))))))> |
#<alt (+ 1 (+ (* (pow B 3) (* x (+ 1/3 (* 1/45 (pow B 3))))) (* (pow B 3) (+ 1/6 (* 7/360 (pow B 3))))))> |
#<alt (+ 1 (+ (* (pow B 3) (* x (+ 1/3 (* 1/45 (pow B 3))))) (* (pow B 3) (+ 1/6 (* 7/360 (pow B 3))))))> |
#<alt (* (pow B 3) (* x (+ 1/3 (* 1/45 (pow B 3)))))> |
#<alt (* x (+ (* (pow B 3) (+ 1/3 (* 1/45 (pow B 3)))) (+ (/ 1 x) (/ (* (pow B 3) (+ 1/6 (* 7/360 (pow B 3)))) x))))> |
#<alt (* x (+ (* (pow B 3) (+ 1/3 (* 1/45 (pow B 3)))) (+ (/ 1 x) (/ (* (pow B 3) (+ 1/6 (* 7/360 (pow B 3)))) x))))> |
#<alt (* x (+ (* (pow B 3) (+ 1/3 (* 1/45 (pow B 3)))) (+ (/ 1 x) (/ (* (pow B 3) (+ 1/6 (* 7/360 (pow B 3)))) x))))> |
#<alt (* -1 (* (pow B 3) (* x (- (* -1/45 (pow B 3)) 1/3))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* (pow B 3) (+ 1/6 (* 7/360 (pow B 3))))) x)) (* (pow B 3) (- (* -1/45 (pow B 3)) 1/3)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* (pow B 3) (+ 1/6 (* 7/360 (pow B 3))))) x)) (* (pow B 3) (- (* -1/45 (pow B 3)) 1/3)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* (pow B 3) (+ 1/6 (* 7/360 (pow B 3))))) x)) (* (pow B 3) (- (* -1/45 (pow B 3)) 1/3)))))> |
#<alt B> |
#<alt B> |
#<alt B> |
#<alt B> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (* -1 (/ x B))> |
#<alt (/ (+ (* -1 x) (* -1 (* (pow B 2) (- (* -1/2 x) (* -1/6 x))))) B)> |
#<alt (/ (+ (* -1 x) (* (pow B 2) (+ (* -1 (* (pow B 2) (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))) (* -1 (- (* -1/2 x) (* -1/6 x)))))) B)> |
#<alt (/ (+ (* -1 x) (* (pow B 2) (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (* (pow B 2) (+ (* -1 (* (pow B 2) (- (* -1/720 x) (+ (* -1/6 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)))) (+ (* -1/5040 x) (* 1/120 (- (* -1/2 x) (* -1/6 x)))))))) (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))))))) B)> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ x (sin B)))> |
#<alt (* -1 (/ x (sin B)))> |
#<alt (* -1 (/ x (sin B)))> |
#<alt (* -1 (/ x (sin B)))> |
#<alt (* -1 (/ x (sin B)))> |
#<alt (* -1 (/ x (sin B)))> |
#<alt (* -1 (/ x (sin B)))> |
#<alt (* -1 (/ x (sin B)))> |
#<alt (* -1 (/ x (sin B)))> |
#<alt (* -1 (/ x (sin B)))> |
#<alt (* -1 (/ x (sin B)))> |
#<alt (* -1 (/ x (sin B)))> |
#<alt (* -1 (/ x B))> |
#<alt (/ (- (* -1/6 (* (pow B 2) x)) x) B)> |
#<alt (/ (- (* (pow B 2) (+ (* -1/6 x) (* (pow B 2) (+ (* -1/36 x) (* 1/120 x))))) x) B)> |
#<alt (/ (- (* (pow B 2) (+ (* -1/6 x) (* (pow B 2) (+ (* -1/36 x) (+ (* 1/120 x) (* (pow B 2) (+ (* -1/5040 x) (+ (* 1/720 x) (* 1/6 (+ (* -1/36 x) (* 1/120 x))))))))))) x) B)> |
#<alt (* -1 (/ x (sin B)))> |
#<alt (* -1 (/ x (sin B)))> |
#<alt (* -1 (/ x (sin B)))> |
#<alt (* -1 (/ x (sin B)))> |
#<alt (* -1 (/ x (sin B)))> |
#<alt (* -1 (/ x (sin B)))> |
#<alt (* -1 (/ x (sin B)))> |
#<alt (* -1 (/ x (sin B)))> |
#<alt (/ x (sin B))> |
#<alt (/ x (sin B))> |
#<alt (/ x (sin B))> |
#<alt (/ x (sin B))> |
#<alt (/ x (sin B))> |
#<alt (/ x (sin B))> |
#<alt (/ x (sin B))> |
#<alt (/ x (sin B))> |
#<alt (/ x (sin B))> |
#<alt (/ x (sin B))> |
#<alt (/ x (sin B))> |
#<alt (/ x (sin B))> |
#<alt (/ x B)> |
#<alt (/ (+ x (* 1/6 (* (pow B 2) x))) B)> |
#<alt (/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/36 x) (* 1/120 x)))) (* -1/6 x)))) B)> |
#<alt (/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/5040 x) (+ (* 1/720 x) (* 1/6 (+ (* -1/36 x) (* 1/120 x))))))) (+ (* -1/36 x) (* 1/120 x)))) (* -1/6 x)))) B)> |
#<alt (/ x (sin B))> |
#<alt (/ x (sin B))> |
#<alt (/ x (sin B))> |
#<alt (/ x (sin B))> |
#<alt (/ x (sin B))> |
#<alt (/ x (sin B))> |
#<alt (/ x (sin B))> |
#<alt (/ x (sin B))> |
#<alt B> |
#<alt (* B (+ 1 (* -1/6 (pow B 2))))> |
#<alt (* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6))))> |
#<alt (* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6))))> |
#<alt (sin B)> |
#<alt (sin B)> |
#<alt (sin B)> |
#<alt (sin B)> |
#<alt (sin B)> |
#<alt (sin B)> |
#<alt (sin B)> |
#<alt (sin B)> |
#<alt 7/360> |
#<alt (+ 7/360 (* 1/45 x))> |
#<alt (+ 7/360 (* 1/45 x))> |
#<alt (+ 7/360 (* 1/45 x))> |
#<alt (* 1/45 x)> |
#<alt (* x (+ 1/45 (* 7/360 (/ 1 x))))> |
#<alt (* x (+ 1/45 (* 7/360 (/ 1 x))))> |
#<alt (* x (+ 1/45 (* 7/360 (/ 1 x))))> |
#<alt (* 1/45 x)> |
#<alt (* x (+ 1/45 (* 7/360 (/ 1 x))))> |
#<alt (* x (+ 1/45 (* 7/360 (/ 1 x))))> |
#<alt (* x (+ 1/45 (* 7/360 (/ 1 x))))> |
#<alt 1/6> |
#<alt (+ 1/6 (* 1/3 x))> |
#<alt (+ 1/6 (* 1/3 x))> |
#<alt (+ 1/6 (* 1/3 x))> |
#<alt (* 1/3 x)> |
#<alt (* x (+ 1/3 (* 1/6 (/ 1 x))))> |
#<alt (* x (+ 1/3 (* 1/6 (/ 1 x))))> |
#<alt (* x (+ 1/3 (* 1/6 (/ 1 x))))> |
#<alt (* 1/3 x)> |
#<alt (* x (+ 1/3 (* 1/6 (/ 1 x))))> |
#<alt (* x (+ 1/3 (* 1/6 (/ 1 x))))> |
#<alt (* x (+ 1/3 (* 1/6 (/ 1 x))))> |
84 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 44.0ms | B | @ | 0 | (/ x (sin B)) |
| 5.0ms | x | @ | -inf | (/ (- 1 (* (cos B) x)) (sin B)) |
| 3.0ms | B | @ | inf | (- (/ (+ (* (* B B) (+ (* B (* B (+ (* x 1/45) 7/360))) (+ (* x 1/3) 1/6))) 1) B) (/ x B)) |
| 2.0ms | B | @ | -inf | (- (/ (+ (* (* B B) (+ (* B (* B (+ (* x 1/45) 7/360))) (+ (* x 1/3) 1/6))) 1) B) (/ x B)) |
| 2.0ms | B | @ | -inf | (/ (+ (* (* B B) (+ (* B (* B (+ (* x 1/45) 7/360))) (+ (* x 1/3) 1/6))) 1) B) |
Compiled 1 147 to 831 computations (27.6% saved)
| 1× | batch-egg-rewrite |
| 5 108× | lower-*.f32 |
| 5 096× | lower-*.f64 |
| 4 364× | lower-/.f32 |
| 4 356× | lower-/.f64 |
| 2 264× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 150 |
| 0 | 60 | 148 |
| 1 | 262 | 148 |
| 2 | 2096 | 148 |
| 0 | 8264 | 148 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x)) |
(*.f64 (cos.f64 B) x) |
(cos.f64 B) |
(neg.f64 B) |
(*.f64 B (fma.f64 (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64))) B #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64))) B #s(literal 1/2 binary64)) |
(*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64))) |
(fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) |
(-.f64 (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) (/.f64 x B)) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) |
(fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(*.f64 B B) |
(*.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B)))) |
(neg.f64 (/.f64 x (sin.f64 B))) |
(/.f64 x (sin.f64 B)) |
(sin.f64 B) |
(fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (neg.f64 (sin.f64 B)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 B) (fma.f64 (cos.f64 B) (neg.f64 x) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (cos.f64 B) x) (fma.f64 (cos.f64 B) x #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 B)) (/.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 B) x) (fma.f64 (cos.f64 B) x #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 B))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 B) x #s(literal 1 binary64))) (sin.f64 B)) (/.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (fma.f64 (cos.f64 B) x #s(literal 1 binary64))) (sin.f64 B))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 B))) (/.f64 (fma.f64 (cos.f64 B) (neg.f64 x) #s(literal 1 binary64)) (neg.f64 (sin.f64 B)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (fma.f64 (*.f64 (cos.f64 B) x) (fma.f64 (cos.f64 B) x #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 3 binary64)) (*.f64 (sin.f64 B) (fma.f64 (*.f64 (cos.f64 B) x) (fma.f64 (cos.f64 B) x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (fma.f64 (cos.f64 B) x #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (*.f64 (sin.f64 B) (fma.f64 (cos.f64 B) x #s(literal 1 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 B)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (/.f64 (*.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (+.f64 (pow.f64 (sin.f64 B) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))) (/.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) #s(literal 3 binary64)) (+.f64 (pow.f64 (sin.f64 B) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 B) #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) (/.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (neg.f64 (sin.f64 B)))) |
(neg.f64 (/.f64 (fma.f64 (cos.f64 B) (neg.f64 x) #s(literal 1 binary64)) (neg.f64 (sin.f64 B)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (cos.f64 B) (neg.f64 x) #s(literal 1 binary64))) (sin.f64 B))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (fma.f64 (cos.f64 B) (neg.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 B) (fma.f64 (cos.f64 B) (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sin.f64 B) (fma.f64 (cos.f64 B) (neg.f64 x) #s(literal 1 binary64)))))) |
(/.f64 (fma.f64 (cos.f64 B) (neg.f64 x) #s(literal 1 binary64)) (sin.f64 B)) |
(/.f64 (neg.f64 (fma.f64 (cos.f64 B) (neg.f64 x) #s(literal 1 binary64))) (neg.f64 (sin.f64 B))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 3 binary64))) (*.f64 (sin.f64 B) (fma.f64 (*.f64 (cos.f64 B) x) (fma.f64 (cos.f64 B) x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 B) (fma.f64 (cos.f64 B) (neg.f64 x) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (sin.f64 B) (fma.f64 (cos.f64 B) (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))) (*.f64 (sin.f64 B) (fma.f64 (cos.f64 B) x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (cos.f64 B) x) (fma.f64 (cos.f64 B) x #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 B))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (cos.f64 B) x #s(literal 1 binary64)) (sin.f64 B))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 3 binary64)))) (neg.f64 (*.f64 (sin.f64 B) (fma.f64 (*.f64 (cos.f64 B) x) (fma.f64 (cos.f64 B) x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))))) (neg.f64 (*.f64 (sin.f64 B) (fma.f64 (cos.f64 B) x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (cos.f64 B) (neg.f64 x) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (sin.f64 B)))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (pow.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) #s(literal 3 binary64))) (+.f64 (pow.f64 (sin.f64 B) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 B) #s(literal -2 binary64)) (pow.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))) |
(/.f64 (*.f64 (fma.f64 (cos.f64 B) (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 B)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 B) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (fma.f64 (*.f64 (cos.f64 B) x) (fma.f64 (cos.f64 B) x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (fma.f64 (cos.f64 B) x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (cos.f64 B) x))) (neg.f64 (sin.f64 B))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))) (*.f64 (sin.f64 B) #s(literal 1 binary64))) (*.f64 (sin.f64 B) (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)))) |
(/.f64 (-.f64 (/.f64 (sin.f64 B) x) (*.f64 (sin.f64 B) (cos.f64 B))) (*.f64 (sin.f64 B) (/.f64 (sin.f64 B) x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 B))) (*.f64 (sin.f64 B) (neg.f64 (*.f64 (cos.f64 B) x)))) (*.f64 (sin.f64 B) (neg.f64 (sin.f64 B)))) |
(/.f64 (-.f64 (/.f64 (sin.f64 B) x) (*.f64 (sin.f64 B) (*.f64 (cos.f64 B) #s(literal 1 binary64)))) (*.f64 (sin.f64 B) (/.f64 (sin.f64 B) x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))) (*.f64 (/.f64 (sin.f64 B) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (sin.f64 B) #s(literal 1 binary64)) (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)))) |
(/.f64 (-.f64 (/.f64 (sin.f64 B) x) (*.f64 (/.f64 (sin.f64 B) #s(literal 1 binary64)) (cos.f64 B))) (*.f64 (/.f64 (sin.f64 B) #s(literal 1 binary64)) (/.f64 (sin.f64 B) x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (/.f64 (sin.f64 B) #s(literal 1 binary64)) (*.f64 (cos.f64 B) x))) (*.f64 (/.f64 (sin.f64 B) #s(literal 1 binary64)) (sin.f64 B))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 B))) (*.f64 (/.f64 (sin.f64 B) #s(literal 1 binary64)) (neg.f64 (*.f64 (cos.f64 B) x)))) (*.f64 (/.f64 (sin.f64 B) #s(literal 1 binary64)) (neg.f64 (sin.f64 B)))) |
(/.f64 (-.f64 (/.f64 (sin.f64 B) x) (*.f64 (/.f64 (sin.f64 B) #s(literal 1 binary64)) (*.f64 (cos.f64 B) #s(literal 1 binary64)))) (*.f64 (/.f64 (sin.f64 B) #s(literal 1 binary64)) (/.f64 (sin.f64 B) x))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))) (*.f64 (neg.f64 (sin.f64 B)) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 B)) (/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x)))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 B) x)) (*.f64 (neg.f64 (sin.f64 B)) (cos.f64 B))) (*.f64 (neg.f64 (sin.f64 B)) (/.f64 (sin.f64 B) x))) |
(/.f64 (-.f64 (neg.f64 (sin.f64 B)) (*.f64 (neg.f64 (sin.f64 B)) (*.f64 (cos.f64 B) x))) (*.f64 (neg.f64 (sin.f64 B)) (sin.f64 B))) |
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(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (/.f64 x (sin.f64 B)))) (/.f64 (pow.f64 (/.f64 x (sin.f64 B)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (/.f64 x (sin.f64 B))))) |
(neg.f64 (/.f64 x (sin.f64 B))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (sin.f64 B) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 B)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (neg.f64 x))) |
(/.f64 x (neg.f64 (sin.f64 B))) |
(/.f64 (neg.f64 x) (sin.f64 B)) |
(/.f64 (neg.f64 x) (neg.f64 (neg.f64 (sin.f64 B)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 B) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 (sin.f64 B) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 (sin.f64 B)) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 B) (neg.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (sin.f64 B))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (neg.f64 (sin.f64 B))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (sin.f64 B)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 x (sin.f64 B)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 x (sin.f64 B)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (sin.f64 B)) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (/.f64 x (sin.f64 B)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (neg.f64 (sin.f64 B))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (sin.f64 B)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (sin.f64 B)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 x (sin.f64 B)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 x (sin.f64 B))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (sin.f64 B)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (/.f64 x (sin.f64 B))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x))) (neg.f64 (neg.f64 (sin.f64 B)))) |
(pow.f64 (neg.f64 (/.f64 (sin.f64 B) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (neg.f64 (sin.f64 B)) x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sin.f64 B) (neg.f64 x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x (sin.f64 B)))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 B)))) |
(*.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(*.f64 (/.f64 x (sin.f64 B)) #s(literal -1 binary64)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(*.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 B))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 B) x)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 B))) (neg.f64 (/.f64 x (sin.f64 B)))) |
(neg.f64 (neg.f64 (/.f64 x (sin.f64 B)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 B) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sin.f64 B) x)))) |
(/.f64 x (sin.f64 B)) |
(/.f64 (neg.f64 x) (neg.f64 (sin.f64 B))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 B) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (sin.f64 B) x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (sin.f64 B)) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (sin.f64 B)))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (sin.f64 B))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (sin.f64 B))))) |
(pow.f64 (/.f64 (sin.f64 B) x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (sin.f64 B) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x (sin.f64 B))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 B)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(sin.f64 B) |
(+.f64 #s(literal 7/360 binary64) (*.f64 x #s(literal 1/45 binary64))) |
(+.f64 (*.f64 x #s(literal 1/45 binary64)) #s(literal 7/360 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)) (fma.f64 x #s(literal 1/45 binary64) #s(literal -7/360 binary64))) (/.f64 #s(literal 49/129600 binary64) (fma.f64 x #s(literal 1/45 binary64) #s(literal -7/360 binary64)))) |
(-.f64 (/.f64 #s(literal 49/129600 binary64) (-.f64 #s(literal 7/360 binary64) (*.f64 x #s(literal 1/45 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)) (-.f64 #s(literal 7/360 binary64) (*.f64 x #s(literal 1/45 binary64))))) |
(fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) |
(fma.f64 #s(literal 1/45 binary64) x #s(literal 7/360 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal 49/129600 binary64)) (*.f64 x #s(literal 7/16200 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/91125 binary64) #s(literal 343/46656000 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/45 binary64) #s(literal -7/360 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -49/129600 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/91125 binary64) #s(literal 343/46656000 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal 49/129600 binary64)) (*.f64 x #s(literal 7/16200 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/91125 binary64) #s(literal 343/46656000 binary64)) (+.f64 #s(literal 49/129600 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)) (*.f64 x #s(literal 7/16200 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal 49/129600 binary64)) (*.f64 x #s(literal 7/16200 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/91125 binary64) #s(literal 343/46656000 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal 1/45 binary64) #s(literal -7/360 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -49/129600 binary64))))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -49/129600 binary64)) (fma.f64 x #s(literal 1/45 binary64) #s(literal -7/360 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/91125 binary64) #s(literal 343/46656000 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal 49/129600 binary64)) (*.f64 x #s(literal 7/16200 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/91125 binary64) #s(literal 343/46656000 binary64))) (neg.f64 (+.f64 #s(literal 49/129600 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)) (*.f64 x #s(literal 7/16200 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -49/129600 binary64))) (neg.f64 (fma.f64 x #s(literal 1/45 binary64) #s(literal -7/360 binary64)))) |
(/.f64 (-.f64 #s(literal 49/129600 binary64) (*.f64 (*.f64 x x) #s(literal 1/2025 binary64))) (-.f64 #s(literal 7/360 binary64) (*.f64 x #s(literal 1/45 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)) (fma.f64 x #s(literal 1/45 binary64) #s(literal -7/360 binary64))) (*.f64 (fma.f64 x #s(literal 1/45 binary64) #s(literal -7/360 binary64)) #s(literal 49/129600 binary64))) (*.f64 (fma.f64 x #s(literal 1/45 binary64) #s(literal -7/360 binary64)) (fma.f64 x #s(literal 1/45 binary64) #s(literal -7/360 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/91125 binary64) #s(literal 343/46656000 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal 49/129600 binary64)) (*.f64 x #s(literal 7/16200 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -49/129600 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 1/45 binary64) #s(literal -7/360 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 49/129600 binary64) (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)))) (neg.f64 (-.f64 #s(literal 7/360 binary64) (*.f64 x #s(literal 1/45 binary64))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal 49/129600 binary64)) (*.f64 x #s(literal 7/16200 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/91125 binary64) #s(literal 343/46656000 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x #s(literal 1/45 binary64) #s(literal -7/360 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -49/129600 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/91125 binary64) #s(literal 343/46656000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal 49/129600 binary64)) (*.f64 x #s(literal 7/16200 binary64))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -49/129600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/45 binary64) #s(literal -7/360 binary64)))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64))) |
(+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1/6 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)))) |
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64))))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/6 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal 1/18 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/216 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/36 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/216 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal 1/18 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/18 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal 1/18 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/216 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/36 binary64))))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/216 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal 1/18 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/18 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)))) |
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/216 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal 1/18 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/3 binary64))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal 1/18 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/216 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/36 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/36 binary64)) (*.f64 x #s(literal 1/18 binary64))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)))) |
| 1× | egg-herbie |
| 17 132× | lower-fma.f64 |
| 17 132× | lower-fma.f32 |
| 6 102× | lower-+.f64 |
| 6 102× | lower-+.f32 |
| 4 568× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 430 | 3417 |
| 1 | 1338 | 3347 |
| 2 | 4214 | 3216 |
| 0 | 8253 | 2979 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- 1 x) B) |
(/ (- (+ 1 (* (pow B 2) (- (* 1/2 x) (* -1/6 (- 1 x))))) x) B) |
(/ (- (+ 1 (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (* -1/6 (- 1 x))))) x) B) |
(/ (- (+ 1 (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (+ (* -1/24 x) (* (pow B 2) (- (* 1/720 x) (+ (* -1/6 (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x))))) (+ (* -1/5040 (- 1 x)) (* 1/120 (- (* 1/2 x) (* -1/6 (- 1 x))))))))) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (* -1/6 (- 1 x))))) x) B) |
(/ (- 1 (* x (cos B))) (sin B)) |
(/ (- 1 (* x (cos B))) (sin B)) |
(/ (- 1 (* x (cos B))) (sin B)) |
(/ (- 1 (* x (cos B))) (sin B)) |
(/ (- 1 (* x (cos B))) (sin B)) |
(/ (- 1 (* x (cos B))) (sin B)) |
(/ (- 1 (* x (cos B))) (sin B)) |
(/ (- 1 (* x (cos B))) (sin B)) |
(/ 1 (sin B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) |
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) |
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(- 1 x) |
(- (+ 1 (* 1/2 (* (pow B 2) x))) x) |
(- (+ 1 (* (pow B 2) (- (* -1/24 (* (pow B 2) x)) (* -1/2 x)))) x) |
(- (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* 1/720 (* (pow B 2) x)) (* 1/24 x))) (* -1/2 x)))) x) |
(- 1 (* x (cos B))) |
(- 1 (* x (cos B))) |
(- 1 (* x (cos B))) |
(- 1 (* x (cos B))) |
(- 1 (* x (cos B))) |
(- 1 (* x (cos B))) |
(- 1 (* x (cos B))) |
(- 1 (* x (cos B))) |
1 |
(+ 1 (* -1 (* x (cos B)))) |
(+ 1 (* -1 (* x (cos B)))) |
(+ 1 (* -1 (* x (cos B)))) |
(* -1 (* x (cos B))) |
(* x (- (/ 1 x) (cos B))) |
(* x (- (/ 1 x) (cos B))) |
(* x (- (/ 1 x) (cos B))) |
(* -1 (* x (cos B))) |
(* x (+ (* -1 (cos B)) (/ 1 x))) |
(* x (+ (* -1 (cos B)) (/ 1 x))) |
(* x (+ (* -1 (cos B)) (/ 1 x))) |
x |
(+ x (* -1/2 (* (pow B 2) x))) |
(+ x (* (pow B 2) (+ (* -1/2 x) (* 1/24 (* (pow B 2) x))))) |
(+ x (* (pow B 2) (+ (* -1/2 x) (* (pow B 2) (+ (* -1/720 (* (pow B 2) x)) (* 1/24 x)))))) |
(* x (cos B)) |
(* x (cos B)) |
(* x (cos B)) |
(* x (cos B)) |
(* x (cos B)) |
(* x (cos B)) |
(* x (cos B)) |
(* x (cos B)) |
(* x (cos B)) |
(* x (cos B)) |
(* x (cos B)) |
(* x (cos B)) |
(* x (cos B)) |
(* x (cos B)) |
(* x (cos B)) |
(* x (cos B)) |
(* x (cos B)) |
(* x (cos B)) |
(* x (cos B)) |
(* x (cos B)) |
1 |
(+ 1 (* -1/2 (pow B 2))) |
(+ 1 (* (pow B 2) (- (* 1/24 (pow B 2)) 1/2))) |
(+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/24 (* -1/720 (pow B 2)))) 1/2))) |
(cos B) |
(cos B) |
(cos B) |
(cos B) |
(cos B) |
(cos B) |
(cos B) |
(cos B) |
(* -1 B) |
(* -1 B) |
(* -1 B) |
(* -1 B) |
(* -1 B) |
(* -1 B) |
(* -1 B) |
(* -1 B) |
(* -1 B) |
(* -1 B) |
(* -1 B) |
(* -1 B) |
(* 1/2 B) |
(* B (+ 1/2 (* 1/24 (pow B 2)))) |
(* B (+ 1/2 (* (pow B 2) (+ 1/24 (* 1/240 (pow B 2)))))) |
(* B (+ 1/2 (* (pow B 2) (+ 1/24 (* 1/240 (pow B 2)))))) |
(* 1/24 (pow B 9)) |
(* (pow B 9) (+ 1/24 (* 1/240 (/ 1 (pow B 5))))) |
(* (pow B 9) (+ 1/24 (+ (/ 1/2 (pow B 8)) (* 1/240 (/ 1 (pow B 5)))))) |
(* (pow B 9) (+ 1/24 (+ (/ 1/2 (pow B 8)) (* 1/240 (/ 1 (pow B 5)))))) |
(* -1/24 (pow B 10)) |
(* (pow B 10) (- (* 1/240 (/ 1 (pow B 5))) 1/24)) |
(* (pow B 10) (- (+ (/ 1/2 (pow B 9)) (* 1/240 (/ 1 (pow B 5)))) 1/24)) |
(* (pow B 10) (- (+ (/ 1/2 (pow B 9)) (* 1/240 (/ 1 (pow B 5)))) 1/24)) |
1/2 |
(+ 1/2 (* 1/24 (pow B 2))) |
(+ 1/2 (* (pow B 2) (+ 1/24 (* 1/240 (pow B 2))))) |
(+ 1/2 (* (pow B 2) (+ 1/24 (* 1/240 (pow B 2))))) |
(* 1/24 (pow B 8)) |
(* (pow B 8) (+ 1/24 (* 1/240 (/ 1 (pow B 5))))) |
(* (pow B 8) (+ 1/24 (+ (/ 1/2 (pow B 8)) (* 1/240 (/ 1 (pow B 5)))))) |
(* (pow B 8) (+ 1/24 (+ (/ 1/2 (pow B 8)) (* 1/240 (/ 1 (pow B 5)))))) |
(* 1/24 (pow B 8)) |
(* (pow B 8) (- 1/24 (* 1/240 (/ 1 (pow B 5))))) |
(* (pow B 8) (+ 1/24 (* -1 (/ (- 1/240 (* 1/2 (/ 1 (pow B 3)))) (pow B 5))))) |
(* (pow B 8) (+ 1/24 (* -1 (/ (- 1/240 (* 1/2 (/ 1 (pow B 3)))) (pow B 5))))) |
(* 1/24 B) |
(* B (+ 1/24 (* 1/240 (pow B 3)))) |
(* B (+ 1/24 (* 1/240 (pow B 3)))) |
(* B (+ 1/24 (* 1/240 (pow B 3)))) |
(* 1/240 (pow B 5)) |
(* (pow B 5) (+ 1/240 (* 1/24 (/ 1 (pow B 4))))) |
(* (pow B 5) (+ 1/240 (* 1/24 (/ 1 (pow B 4))))) |
(* (pow B 5) (+ 1/240 (* 1/24 (/ 1 (pow B 4))))) |
(* -1/240 (pow B 6)) |
(* (pow B 6) (- (* 1/24 (/ 1 (pow B 5))) 1/240)) |
(* (pow B 6) (- (* 1/24 (/ 1 (pow B 5))) 1/240)) |
(* (pow B 6) (- (* 1/24 (/ 1 (pow B 5))) 1/240)) |
1/24 |
(+ 1/24 (* 1/240 (pow B 3))) |
(+ 1/24 (* 1/240 (pow B 3))) |
(+ 1/24 (* 1/240 (pow B 3))) |
(* 1/240 (pow B 4)) |
(* (pow B 4) (+ 1/240 (* 1/24 (/ 1 (pow B 4))))) |
(* (pow B 4) (+ 1/240 (* 1/24 (/ 1 (pow B 4))))) |
(* (pow B 4) (+ 1/240 (* 1/24 (/ 1 (pow B 4))))) |
(* 1/240 (pow B 4)) |
(* (pow B 4) (+ 1/240 (* 1/24 (/ 1 (pow B 4))))) |
(* (pow B 4) (+ 1/240 (* 1/24 (/ 1 (pow B 4))))) |
(* (pow B 4) (+ 1/240 (* 1/24 (/ 1 (pow B 4))))) |
(* B (+ 1/6 (* 1/3 x))) |
(* B (+ 1/6 (+ (* 1/3 x) (* (pow B 5) (+ 7/360 (* 1/45 x)))))) |
(* B (+ 1/6 (+ (* 1/3 x) (* (pow B 5) (+ 7/360 (* 1/45 x)))))) |
(* B (+ 1/6 (+ (* 1/3 x) (* (pow B 5) (+ 7/360 (* 1/45 x)))))) |
(* 1/2 (pow B 8)) |
(* (pow B 8) (+ 1/2 (* 1/24 (/ 1 (pow B 5))))) |
(* (pow B 8) (- (+ 1/2 (+ (* 1/24 (/ 1 (pow B 5))) (/ 1 (pow B 9)))) (/ x (pow B 9)))) |
(* (pow B 8) (- (+ 1/2 (+ (* 1/24 (/ 1 (pow B 5))) (/ 1 (pow B 9)))) (/ x (pow B 9)))) |
(* 1/2 (pow B 9)) |
(* -1 (* (pow B 9) (- (* 1/24 (/ 1 (pow B 5))) 1/2))) |
(* -1 (* (pow B 9) (- (* -1 (/ (- (+ (* -1 (/ x (pow B 5))) (/ 1 (pow B 5))) 1/24) (pow B 5))) 1/2))) |
(* -1 (* (pow B 9) (- (* -1 (/ (- (+ (* -1 (/ x (pow B 5))) (/ 1 (pow B 5))) 1/24) (pow B 5))) 1/2))) |
(* B (+ 1/6 (* 7/360 (pow B 5)))) |
(+ (* B (* x (+ 1/3 (* 1/45 (pow B 5))))) (* B (+ 1/6 (* 7/360 (pow B 5))))) |
(+ (* B (* x (+ 1/3 (* 1/45 (pow B 5))))) (* B (+ 1/6 (* 7/360 (pow B 5))))) |
(+ (* B (* x (+ 1/3 (* 1/45 (pow B 5))))) (* B (+ 1/6 (* 7/360 (pow B 5))))) |
(* x (- (* B (+ 1/3 (* 1/45 (pow B 7)))) (/ 1 B))) |
(* x (- (+ (* B (+ 1/3 (* 1/45 (pow B 7)))) (+ (/ 1 (* B x)) (/ (* B (+ 1/6 (* 7/360 (pow B 7)))) x))) (/ 1 B))) |
(* x (- (+ (* B (+ 1/3 (* 1/45 (pow B 7)))) (+ (/ 1 (* B x)) (/ (* B (+ 1/6 (* 7/360 (pow B 7)))) x))) (/ 1 B))) |
(* x (- (+ (* B (+ 1/3 (* 1/45 (pow B 7)))) (+ (/ 1 (* B x)) (/ (* B (+ 1/6 (* 7/360 (pow B 7)))) x))) (/ 1 B))) |
(* -1 (* x (+ (* B (- (* -1/45 (pow B 3)) 1/3)) (/ 1 B)))) |
(* -1 (* x (+ (* -1 (/ (+ (* B (+ 1/6 (* 7/360 (pow B 3)))) (/ 1 B)) x)) (+ (* B (- (* -1/45 (pow B 3)) 1/3)) (/ 1 B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* B (+ 1/6 (* 7/360 (pow B 3)))) (/ 1 B)) x)) (+ (* B (- (* -1/45 (pow B 3)) 1/3)) (/ 1 B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* B (+ 1/6 (* 7/360 (pow B 3)))) (/ 1 B)) x)) (+ (* B (- (* -1/45 (pow B 3)) 1/3)) (/ 1 B))))) |
(/ 1 B) |
(/ (+ 1 (* (pow B 3) (+ 1/6 (* 1/3 x)))) B) |
(/ (+ 1 (* (pow B 3) (+ 1/6 (+ (* 1/3 x) (* (pow B 3) (+ 7/360 (* 1/45 x))))))) B) |
(/ (+ 1 (* (pow B 3) (+ 1/6 (+ (* 1/3 x) (* (pow B 3) (+ 7/360 (* 1/45 x))))))) B) |
(* 1/2 (pow B 8)) |
(* (pow B 8) (+ 1/2 (* 1/24 (/ 1 (pow B 5))))) |
(* (pow B 8) (+ 1/2 (+ (* 1/24 (/ 1 (pow B 5))) (/ 1 (pow B 9))))) |
(* (pow B 8) (+ 1/2 (+ (* 1/24 (/ 1 (pow B 5))) (/ 1 (pow B 9))))) |
(* 1/2 (pow B 9)) |
(* -1 (* (pow B 9) (- (* 1/24 (/ 1 (pow B 5))) 1/2))) |
(* -1 (* (pow B 9) (- (* -1 (/ (- (/ 1 (pow B 5)) 1/24) (pow B 5))) 1/2))) |
(* -1 (* (pow B 9) (- (* -1 (/ (- (/ 1 (pow B 5)) 1/24) (pow B 5))) 1/2))) |
(/ (+ 1 (* (pow B 3) (+ 1/6 (* 7/360 (pow B 3))))) B) |
(+ (* (pow B 2) (* x (+ 1/3 (* 1/45 (pow B 3))))) (+ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 3)))) (/ 1 B))) |
(+ (* (pow B 2) (* x (+ 1/3 (* 1/45 (pow B 3))))) (+ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 3)))) (/ 1 B))) |
(+ (* (pow B 2) (* x (+ 1/3 (* 1/45 (pow B 3))))) (+ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 3)))) (/ 1 B))) |
(* (pow B 2) (* x (+ 1/3 (* 1/45 (pow B 3))))) |
(* x (+ (* (pow B 2) (+ 1/3 (* 1/45 (pow B 3)))) (+ (/ 1 (* B x)) (/ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 3)))) x)))) |
(* x (+ (* (pow B 2) (+ 1/3 (* 1/45 (pow B 3)))) (+ (/ 1 (* B x)) (/ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 3)))) x)))) |
(* x (+ (* (pow B 2) (+ 1/3 (* 1/45 (pow B 3)))) (+ (/ 1 (* B x)) (/ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 3)))) x)))) |
(* -1 (* (pow B 2) (* x (- (* -1/45 (pow B 3)) 1/3)))) |
(* -1 (* x (+ (* -1 (/ (+ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 3)))) (/ 1 B)) x)) (* (pow B 2) (- (* -1/45 (pow B 3)) 1/3))))) |
(* -1 (* x (+ (* -1 (/ (+ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 3)))) (/ 1 B)) x)) (* (pow B 2) (- (* -1/45 (pow B 3)) 1/3))))) |
(* -1 (* x (+ (* -1 (/ (+ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 3)))) (/ 1 B)) x)) (* (pow B 2) (- (* -1/45 (pow B 3)) 1/3))))) |
1 |
(+ 1 (* (pow B 3) (+ 1/6 (* 1/3 x)))) |
(+ 1 (* (pow B 3) (+ 1/6 (+ (* 1/3 x) (* (pow B 3) (+ 7/360 (* 1/45 x))))))) |
(+ 1 (* (pow B 3) (+ 1/6 (+ (* 1/3 x) (* (pow B 3) (+ 7/360 (* 1/45 x))))))) |
(* 1/2 (pow B 9)) |
(* (pow B 9) (+ 1/2 (* 1/24 (/ 1 (pow B 5))))) |
(* (pow B 9) (+ 1/2 (+ (* 1/24 (/ 1 (pow B 5))) (/ 1 (pow B 9))))) |
(* (pow B 9) (+ 1/2 (+ (* 1/24 (/ 1 (pow B 5))) (/ 1 (pow B 9))))) |
(* -1/2 (pow B 9)) |
(* -1 (* (pow B 9) (- 1/2 (* 1/24 (/ 1 (pow B 5)))))) |
(* -1 (* (pow B 9) (+ 1/2 (* -1 (/ (+ 1/24 (/ 1 (pow B 4))) (pow B 5)))))) |
(* -1 (* (pow B 9) (+ 1/2 (* -1 (/ (+ 1/24 (/ 1 (pow B 4))) (pow B 5)))))) |
(+ 1 (* (pow B 3) (+ 1/6 (* 7/360 (pow B 3))))) |
(+ 1 (+ (* (pow B 3) (* x (+ 1/3 (* 1/45 (pow B 3))))) (* (pow B 3) (+ 1/6 (* 7/360 (pow B 3)))))) |
(+ 1 (+ (* (pow B 3) (* x (+ 1/3 (* 1/45 (pow B 3))))) (* (pow B 3) (+ 1/6 (* 7/360 (pow B 3)))))) |
(+ 1 (+ (* (pow B 3) (* x (+ 1/3 (* 1/45 (pow B 3))))) (* (pow B 3) (+ 1/6 (* 7/360 (pow B 3)))))) |
(* (pow B 3) (* x (+ 1/3 (* 1/45 (pow B 3))))) |
(* x (+ (* (pow B 3) (+ 1/3 (* 1/45 (pow B 3)))) (+ (/ 1 x) (/ (* (pow B 3) (+ 1/6 (* 7/360 (pow B 3)))) x)))) |
(* x (+ (* (pow B 3) (+ 1/3 (* 1/45 (pow B 3)))) (+ (/ 1 x) (/ (* (pow B 3) (+ 1/6 (* 7/360 (pow B 3)))) x)))) |
(* x (+ (* (pow B 3) (+ 1/3 (* 1/45 (pow B 3)))) (+ (/ 1 x) (/ (* (pow B 3) (+ 1/6 (* 7/360 (pow B 3)))) x)))) |
(* -1 (* (pow B 3) (* x (- (* -1/45 (pow B 3)) 1/3)))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* (pow B 3) (+ 1/6 (* 7/360 (pow B 3))))) x)) (* (pow B 3) (- (* -1/45 (pow B 3)) 1/3))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* (pow B 3) (+ 1/6 (* 7/360 (pow B 3))))) x)) (* (pow B 3) (- (* -1/45 (pow B 3)) 1/3))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* (pow B 3) (+ 1/6 (* 7/360 (pow B 3))))) x)) (* (pow B 3) (- (* -1/45 (pow B 3)) 1/3))))) |
B |
B |
B |
B |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(* -1 (/ x B)) |
(/ (+ (* -1 x) (* -1 (* (pow B 2) (- (* -1/2 x) (* -1/6 x))))) B) |
(/ (+ (* -1 x) (* (pow B 2) (+ (* -1 (* (pow B 2) (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))) (* -1 (- (* -1/2 x) (* -1/6 x)))))) B) |
(/ (+ (* -1 x) (* (pow B 2) (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (* (pow B 2) (+ (* -1 (* (pow B 2) (- (* -1/720 x) (+ (* -1/6 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)))) (+ (* -1/5040 x) (* 1/120 (- (* -1/2 x) (* -1/6 x)))))))) (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))))))) B) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ x (sin B))) |
(* -1 (/ x (sin B))) |
(* -1 (/ x (sin B))) |
(* -1 (/ x (sin B))) |
(* -1 (/ x (sin B))) |
(* -1 (/ x (sin B))) |
(* -1 (/ x (sin B))) |
(* -1 (/ x (sin B))) |
(* -1 (/ x (sin B))) |
(* -1 (/ x (sin B))) |
(* -1 (/ x (sin B))) |
(* -1 (/ x (sin B))) |
(* -1 (/ x B)) |
(/ (- (* -1/6 (* (pow B 2) x)) x) B) |
(/ (- (* (pow B 2) (+ (* -1/6 x) (* (pow B 2) (+ (* -1/36 x) (* 1/120 x))))) x) B) |
(/ (- (* (pow B 2) (+ (* -1/6 x) (* (pow B 2) (+ (* -1/36 x) (+ (* 1/120 x) (* (pow B 2) (+ (* -1/5040 x) (+ (* 1/720 x) (* 1/6 (+ (* -1/36 x) (* 1/120 x))))))))))) x) B) |
(* -1 (/ x (sin B))) |
(* -1 (/ x (sin B))) |
(* -1 (/ x (sin B))) |
(* -1 (/ x (sin B))) |
(* -1 (/ x (sin B))) |
(* -1 (/ x (sin B))) |
(* -1 (/ x (sin B))) |
(* -1 (/ x (sin B))) |
(/ x (sin B)) |
(/ x (sin B)) |
(/ x (sin B)) |
(/ x (sin B)) |
(/ x (sin B)) |
(/ x (sin B)) |
(/ x (sin B)) |
(/ x (sin B)) |
(/ x (sin B)) |
(/ x (sin B)) |
(/ x (sin B)) |
(/ x (sin B)) |
(/ x B) |
(/ (+ x (* 1/6 (* (pow B 2) x))) B) |
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/36 x) (* 1/120 x)))) (* -1/6 x)))) B) |
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/5040 x) (+ (* 1/720 x) (* 1/6 (+ (* -1/36 x) (* 1/120 x))))))) (+ (* -1/36 x) (* 1/120 x)))) (* -1/6 x)))) B) |
(/ x (sin B)) |
(/ x (sin B)) |
(/ x (sin B)) |
(/ x (sin B)) |
(/ x (sin B)) |
(/ x (sin B)) |
(/ x (sin B)) |
(/ x (sin B)) |
B |
(* B (+ 1 (* -1/6 (pow B 2)))) |
(* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6)))) |
(* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6)))) |
(sin B) |
(sin B) |
(sin B) |
(sin B) |
(sin B) |
(sin B) |
(sin B) |
(sin B) |
7/360 |
(+ 7/360 (* 1/45 x)) |
(+ 7/360 (* 1/45 x)) |
(+ 7/360 (* 1/45 x)) |
(* 1/45 x) |
(* x (+ 1/45 (* 7/360 (/ 1 x)))) |
(* x (+ 1/45 (* 7/360 (/ 1 x)))) |
(* x (+ 1/45 (* 7/360 (/ 1 x)))) |
(* 1/45 x) |
(* x (+ 1/45 (* 7/360 (/ 1 x)))) |
(* x (+ 1/45 (* 7/360 (/ 1 x)))) |
(* x (+ 1/45 (* 7/360 (/ 1 x)))) |
1/6 |
(+ 1/6 (* 1/3 x)) |
(+ 1/6 (* 1/3 x)) |
(+ 1/6 (* 1/3 x)) |
(* 1/3 x) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(* 1/3 x) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
| Outputs |
|---|
(/ (- 1 x) B) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(/ (- (+ 1 (* (pow B 2) (- (* 1/2 x) (* -1/6 (- 1 x))))) x) B) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) |
(/ (- (+ 1 (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (* -1/6 (- 1 x))))) x) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/120 binary64) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(/ (- (+ 1 (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (+ (* -1/24 x) (* (pow B 2) (- (* 1/720 x) (+ (* -1/6 (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x))))) (+ (* -1/5040 (- 1 x)) (* 1/120 (- (* 1/2 x) (* -1/6 (- 1 x))))))))) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (* -1/6 (- 1 x))))) x) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/24 binary64) (fma.f64 (*.f64 B B) (-.f64 (*.f64 x #s(literal 1/720 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/5040 binary64) (fma.f64 #s(literal -1/6 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/120 binary64) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) (*.f64 x #s(literal -1/24 binary64)))) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/120 binary64))))) (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/120 binary64) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1/6 binary64))))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(/ (- 1 (* x (cos B))) (sin B)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(/ (- 1 (* x (cos B))) (sin B)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(/ (- 1 (* x (cos B))) (sin B)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(/ (- 1 (* x (cos B))) (sin B)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(/ (- 1 (* x (cos B))) (sin B)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(/ (- 1 (* x (cos B))) (sin B)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(/ (- 1 (* x (cos B))) (sin B)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(/ (- 1 (* x (cos B))) (sin B)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (neg.f64 (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (neg.f64 (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (* 1/2 (* (pow B 2) x))) x) |
(fma.f64 x (fma.f64 (*.f64 B B) #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (* (pow B 2) (- (* -1/24 (* (pow B 2) x)) (* -1/2 x)))) x) |
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(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/24 binary64) (*.f64 x #s(literal 23/360 binary64))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B) |
(/ (+ (* -1 x) (* (pow B 2) (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (* (pow B 2) (+ (* -1 (* (pow B 2) (- (* -1/720 x) (+ (* -1/6 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)))) (+ (* -1/5040 x) (* 1/120 (- (* -1/2 x) (* -1/6 x)))))))) (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))))))) B) |
(/.f64 (-.f64 (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (neg.f64 (*.f64 (*.f64 B B) (fma.f64 B (*.f64 B (-.f64 (*.f64 x #s(literal -1/720 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 x #s(literal -1/72 binary64) (*.f64 x #s(literal -1/120 binary64))) (*.f64 x #s(literal -1/336 binary64))))) (fma.f64 x #s(literal -1/72 binary64) (*.f64 x #s(literal -1/120 binary64)))))))) x) B) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (neg.f64 (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (neg.f64 (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (neg.f64 (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (neg.f64 (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (neg.f64 (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (neg.f64 (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (neg.f64 (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (neg.f64 (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (neg.f64 (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (neg.f64 (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (neg.f64 (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (neg.f64 (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (neg.f64 (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (neg.f64 (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (neg.f64 (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (neg.f64 (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (neg.f64 (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (neg.f64 (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (neg.f64 (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (neg.f64 (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(* -1 (/ x (sin B))) |
(neg.f64 (/.f64 x (sin.f64 B))) |
(* -1 (/ x (sin B))) |
(neg.f64 (/.f64 x (sin.f64 B))) |
(* -1 (/ x (sin B))) |
(neg.f64 (/.f64 x (sin.f64 B))) |
(* -1 (/ x (sin B))) |
(neg.f64 (/.f64 x (sin.f64 B))) |
(* -1 (/ x (sin B))) |
(neg.f64 (/.f64 x (sin.f64 B))) |
(* -1 (/ x (sin B))) |
(neg.f64 (/.f64 x (sin.f64 B))) |
(* -1 (/ x (sin B))) |
(neg.f64 (/.f64 x (sin.f64 B))) |
(* -1 (/ x (sin B))) |
(neg.f64 (/.f64 x (sin.f64 B))) |
(* -1 (/ x (sin B))) |
(neg.f64 (/.f64 x (sin.f64 B))) |
(* -1 (/ x (sin B))) |
(neg.f64 (/.f64 x (sin.f64 B))) |
(* -1 (/ x (sin B))) |
(neg.f64 (/.f64 x (sin.f64 B))) |
(* -1 (/ x (sin B))) |
(neg.f64 (/.f64 x (sin.f64 B))) |
(* -1 (/ x B)) |
(/.f64 x (neg.f64 B)) |
(/ (- (* -1/6 (* (pow B 2) x)) x) B) |
(/.f64 (*.f64 x (fma.f64 (*.f64 B B) #s(literal -1/6 binary64) #s(literal -1 binary64))) B) |
(/ (- (* (pow B 2) (+ (* -1/6 x) (* (pow B 2) (+ (* -1/36 x) (* 1/120 x))))) x) B) |
(/.f64 (fma.f64 B (*.f64 B (*.f64 x (fma.f64 #s(literal -7/360 binary64) (*.f64 B B) #s(literal -1/6 binary64)))) (neg.f64 x)) B) |
(/ (- (* (pow B 2) (+ (* -1/6 x) (* (pow B 2) (+ (* -1/36 x) (+ (* 1/120 x) (* (pow B 2) (+ (* -1/5040 x) (+ (* 1/720 x) (* 1/6 (+ (* -1/36 x) (* 1/120 x))))))))))) x) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 (*.f64 x #s(literal -31/15120 binary64)) B) B (*.f64 x #s(literal -7/360 binary64))) (*.f64 x #s(literal -1/6 binary64))) (neg.f64 x)) B) |
(* -1 (/ x (sin B))) |
(neg.f64 (/.f64 x (sin.f64 B))) |
(* -1 (/ x (sin B))) |
(neg.f64 (/.f64 x (sin.f64 B))) |
(* -1 (/ x (sin B))) |
(neg.f64 (/.f64 x (sin.f64 B))) |
(* -1 (/ x (sin B))) |
(neg.f64 (/.f64 x (sin.f64 B))) |
(* -1 (/ x (sin B))) |
(neg.f64 (/.f64 x (sin.f64 B))) |
(* -1 (/ x (sin B))) |
(neg.f64 (/.f64 x (sin.f64 B))) |
(* -1 (/ x (sin B))) |
(neg.f64 (/.f64 x (sin.f64 B))) |
(* -1 (/ x (sin B))) |
(neg.f64 (/.f64 x (sin.f64 B))) |
(/ x (sin B)) |
(/.f64 x (sin.f64 B)) |
(/ x (sin B)) |
(/.f64 x (sin.f64 B)) |
(/ x (sin B)) |
(/.f64 x (sin.f64 B)) |
(/ x (sin B)) |
(/.f64 x (sin.f64 B)) |
(/ x (sin B)) |
(/.f64 x (sin.f64 B)) |
(/ x (sin B)) |
(/.f64 x (sin.f64 B)) |
(/ x (sin B)) |
(/.f64 x (sin.f64 B)) |
(/ x (sin B)) |
(/.f64 x (sin.f64 B)) |
(/ x (sin B)) |
(/.f64 x (sin.f64 B)) |
(/ x (sin B)) |
(/.f64 x (sin.f64 B)) |
(/ x (sin B)) |
(/.f64 x (sin.f64 B)) |
(/ x (sin B)) |
(/.f64 x (sin.f64 B)) |
(/ x B) |
(/.f64 x B) |
(/ (+ x (* 1/6 (* (pow B 2) x))) B) |
(/.f64 (fma.f64 x (*.f64 (*.f64 B B) #s(literal 1/6 binary64)) x) B) |
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/36 x) (* 1/120 x)))) (* -1/6 x)))) B) |
(/.f64 (fma.f64 (*.f64 B B) (neg.f64 (*.f64 x (fma.f64 #s(literal -7/360 binary64) (*.f64 B B) #s(literal -1/6 binary64)))) x) B) |
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/5040 x) (+ (* 1/720 x) (* 1/6 (+ (* -1/36 x) (* 1/120 x))))))) (+ (* -1/36 x) (* 1/120 x)))) (* -1/6 x)))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (-.f64 (*.f64 x #s(literal 7/360 binary64)) (*.f64 (*.f64 B B) (*.f64 x #s(literal -31/15120 binary64))))) (*.f64 x #s(literal 1/6 binary64))) x) B) |
(/ x (sin B)) |
(/.f64 x (sin.f64 B)) |
(/ x (sin B)) |
(/.f64 x (sin.f64 B)) |
(/ x (sin B)) |
(/.f64 x (sin.f64 B)) |
(/ x (sin B)) |
(/.f64 x (sin.f64 B)) |
(/ x (sin B)) |
(/.f64 x (sin.f64 B)) |
(/ x (sin B)) |
(/.f64 x (sin.f64 B)) |
(/ x (sin B)) |
(/.f64 x (sin.f64 B)) |
(/ x (sin B)) |
(/.f64 x (sin.f64 B)) |
B |
(* B (+ 1 (* -1/6 (pow B 2)))) |
(fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B) |
(* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6)))) |
(fma.f64 (*.f64 B (*.f64 B B)) (fma.f64 B (*.f64 B #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) B) |
(* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6)))) |
(fma.f64 (*.f64 B B) (*.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) B) B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
7/360 |
#s(literal 7/360 binary64) |
(+ 7/360 (* 1/45 x)) |
(fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) |
(+ 7/360 (* 1/45 x)) |
(fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) |
(+ 7/360 (* 1/45 x)) |
(fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) |
(* 1/45 x) |
(*.f64 x #s(literal 1/45 binary64)) |
(* x (+ 1/45 (* 7/360 (/ 1 x)))) |
(fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) |
(* x (+ 1/45 (* 7/360 (/ 1 x)))) |
(fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) |
(* x (+ 1/45 (* 7/360 (/ 1 x)))) |
(fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) |
(* 1/45 x) |
(*.f64 x #s(literal 1/45 binary64)) |
(* x (+ 1/45 (* 7/360 (/ 1 x)))) |
(fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) |
(* x (+ 1/45 (* 7/360 (/ 1 x)))) |
(fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) |
(* x (+ 1/45 (* 7/360 (/ 1 x)))) |
(fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/3 x)) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/3 x)) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/3 x)) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
Compiled 32 096 to 2 739 computations (91.5% saved)
45 alts after pruning (39 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 986 | 16 | 1 002 |
| Fresh | 8 | 23 | 31 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 996 | 45 | 1 041 |
| Status | Accuracy | Program |
|---|---|---|
| 74.9% | (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) B)) | |
| 51.0% | (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) x)) B) | |
| 25.6% | (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/24 binary64) (*.f64 x #s(literal 23/360 binary64))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B) | |
| 51.2% | (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) | |
| 51.2% | (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) x)) B) | |
| 25.8% | (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (neg.f64 x)) B) | |
| 50.8% | (/.f64 (fma.f64 (*.f64 B B) (*.f64 (neg.f64 x) (fma.f64 (*.f64 B (*.f64 B B)) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) (-.f64 #s(literal 1 binary64) x)) B) | |
| 61.9% | (/.f64 (fma.f64 x (neg.f64 B) B) (*.f64 B (sin.f64 B))) | |
| 88.5% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 B) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))))) (sin.f64 B)) | |
| 51.0% | (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) | |
| 51.2% | (/.f64 (-.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) | |
| 36.7% | (/.f64 (-.f64 B (*.f64 B x)) (*.f64 B B)) | |
| 88.5% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))) (*.f64 (sin.f64 B) (fma.f64 (cos.f64 B) x #s(literal 1 binary64)))) | |
| ✓ | 99.7% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
| 77.0% | (/.f64 (-.f64 #s(literal 1 binary64) x) (sin.f64 B)) | |
| ✓ | 51.2% | (/.f64 (-.f64 #s(literal 1 binary64) x) B) |
| 1.3% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 B (*.f64 B B))) (+.f64 #s(literal 0 binary64) (fma.f64 B B (*.f64 #s(literal 0 binary64) B)))) | |
| 2.6% | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 B B)) (+.f64 #s(literal 0 binary64) B)) | |
| 49.4% | (/.f64 (*.f64 (cos.f64 B) x) (neg.f64 (sin.f64 B))) | |
| 25.7% | (/.f64 (neg.f64 x) B) | |
| 51.6% | (/.f64 #s(literal 1 binary64) (sin.f64 B)) | |
| 27.5% | (/.f64 #s(literal 1 binary64) B) | |
| 46.6% | (-.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1/2 binary64)) (/.f64 x (tan.f64 B))) | |
| 50.9% | (-.f64 (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (*.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)) B) (/.f64 x B)) | |
| 51.0% | (-.f64 (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) (/.f64 x B)) | |
| ✓ | 99.8% | (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| 74.9% | (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B))) | |
| 22.6% | (+.f64 (neg.f64 (/.f64 x B)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1/2 binary64))) | |
| 34.3% | (+.f64 (neg.f64 (/.f64 x B)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)))) | |
| 51.3% | (+.f64 (neg.f64 (/.f64 x B)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 B (*.f64 B B)) B))) | |
| 62.9% | (+.f64 (neg.f64 (*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) B)) | |
| 60.9% | (*.f64 (fma.f64 (sin.f64 B) (neg.f64 x) B) (/.f64 #s(literal 1 binary64) (*.f64 B (sin.f64 B)))) | |
| 49.4% | (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 B) (sin.f64 B))) | |
| 51.2% | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x)) | |
| 49.3% | (*.f64 (cos.f64 B) (/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 B) x))) | |
| ✓ | 49.4% | (*.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B)))) |
| 2.8% | (*.f64 B (fma.f64 (*.f64 B (fma.f64 (*.f64 B #s(literal 1/240 binary64)) B #s(literal 1/24 binary64))) B #s(literal 1/2 binary64))) | |
| 2.7% | (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) | |
| 2.8% | (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) | |
| 27.7% | (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x (sin.f64 B)))) | |
| ✓ | 3.1% | (*.f64 #s(literal 1/2 binary64) B) |
| 2.3% | (*.f64 #s(literal -1/24 binary64) (pow.f64 B #s(literal 10 binary64))) | |
| 25.4% | (neg.f64 (fma.f64 x (*.f64 B (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))) (/.f64 x B))) | |
| 25.7% | (neg.f64 (/.f64 (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 B B)) x) B)) | |
| ✓ | 2.6% | (neg.f64 B) |
Compiled 1 823 to 738 computations (59.5% saved)
| Inputs |
|---|
(neg.f64 B) |
(*.f64 #s(literal 1/2 binary64) B) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
(/.f64 #s(literal 1 binary64) B) |
(/.f64 (neg.f64 x) B) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(*.f64 B (fma.f64 B (*.f64 B #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 B B)) (+.f64 #s(literal 0 binary64) B)) |
(/.f64 (-.f64 B (*.f64 B x)) (*.f64 B B)) |
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 B x B)) |
(/.f64 (-.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) |
(*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B #s(literal 1/240 binary64)) B #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(*.f64 B (fma.f64 (*.f64 B (fma.f64 (*.f64 B #s(literal 1/240 binary64)) B #s(literal 1/24 binary64))) B #s(literal 1/2 binary64))) |
(*.f64 B (fma.f64 (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64))) B #s(literal 1/2 binary64))) |
(neg.f64 (/.f64 (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 B B)) x) B)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 B x B))) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 B (*.f64 B B))) (+.f64 #s(literal 0 binary64) (fma.f64 B B (*.f64 #s(literal 0 binary64) B)))) |
(neg.f64 (fma.f64 x (*.f64 B (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))) (/.f64 x B))) |
(/.f64 (-.f64 (/.f64 B x) B) (*.f64 B (/.f64 B x))) |
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B))) |
(/.f64 (/.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (neg.f64 x)) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (fma.f64 (*.f64 B B) (*.f64 (neg.f64 x) (fma.f64 (*.f64 B (*.f64 B B)) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/24 binary64) (*.f64 x #s(literal 23/360 binary64))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B) |
(-.f64 (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) (/.f64 x B)) |
(-.f64 (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (*.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)) B) (/.f64 x B)) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) B) B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))) B) |
(-.f64 (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) (/.f64 x B)) |
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 B (*.f64 B B)) B))) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(*.f64 #s(literal -1/24 binary64) (pow.f64 B #s(literal 10 binary64))) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (sin.f64 B)) |
(*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x (sin.f64 B)))) |
(/.f64 (fma.f64 x (neg.f64 B) B) (*.f64 B (sin.f64 B))) |
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B))) |
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) B)) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x B)) (/.f64 x B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 (fma.f64 B (*.f64 B #s(literal -1/3 binary64)) #s(literal 1 binary64)) B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(*.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B)))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (neg.f64 (sin.f64 B))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 (cos.f64 B) x #s(literal -1 binary64))) |
(/.f64 (fma.f64 (sin.f64 B) (neg.f64 x) B) (*.f64 B (sin.f64 B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(*.f64 (cos.f64 B) (/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 B) x))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 B) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(*.f64 (fma.f64 (sin.f64 B) (neg.f64 x) B) (/.f64 #s(literal 1 binary64) (*.f64 B (sin.f64 B)))) |
(+.f64 (neg.f64 (/.f64 x B)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1/2 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) B)) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+.f64 (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 (*.f64 x (neg.f64 x)) x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)))) |
(+.f64 (neg.f64 (*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) B)) |
(-.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1/2 binary64)) (/.f64 x (tan.f64 B))) |
(fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))) (*.f64 (sin.f64 B) (fma.f64 (cos.f64 B) x #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 B) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))))))) (sin.f64 B)) |
(/.f64 (fma.f64 x (sin.f64 B) (tan.f64 B)) (*.f64 (tan.f64 B) (sin.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) (*.f64 (tan.f64 B) (sin.f64 B))) |
(/.f64 (fma.f64 (sin.f64 B) (neg.f64 x) (tan.f64 B)) (*.f64 (sin.f64 B) (tan.f64 B))) |
(/.f64 (fma.f64 (*.f64 (cos.f64 B) (neg.f64 x)) (sin.f64 B) (sin.f64 B)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) |
(/.f64 (-.f64 (/.f64 (tan.f64 B) x) (sin.f64 B)) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x)) (sin.f64 B)) (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x))) |
(fma.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (/.f64 x (tan.f64 B))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 4 binary64)) (pow.f64 (sin.f64 B) #s(literal -4 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(literal 3 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))))) (/.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))))) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
3 calls:
| 29.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 28.0ms | x |
| 23.0ms | B |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | B |
| 99.8% | 1 | x |
| 99.8% | 1 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
(neg.f64 B) |
(*.f64 #s(literal 1/2 binary64) B) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
(/.f64 #s(literal 1 binary64) B) |
(/.f64 (neg.f64 x) B) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(*.f64 B (fma.f64 B (*.f64 B #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 B B)) (+.f64 #s(literal 0 binary64) B)) |
(/.f64 (-.f64 B (*.f64 B x)) (*.f64 B B)) |
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 B x B)) |
(/.f64 (-.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) |
(*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B #s(literal 1/240 binary64)) B #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(*.f64 B (fma.f64 (*.f64 B (fma.f64 (*.f64 B #s(literal 1/240 binary64)) B #s(literal 1/24 binary64))) B #s(literal 1/2 binary64))) |
(*.f64 B (fma.f64 (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64))) B #s(literal 1/2 binary64))) |
(neg.f64 (/.f64 (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 B B)) x) B)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 B x B))) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 B (*.f64 B B))) (+.f64 #s(literal 0 binary64) (fma.f64 B B (*.f64 #s(literal 0 binary64) B)))) |
(neg.f64 (fma.f64 x (*.f64 B (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))) (/.f64 x B))) |
(/.f64 (-.f64 (/.f64 B x) B) (*.f64 B (/.f64 B x))) |
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B))) |
(/.f64 (/.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (neg.f64 x)) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (fma.f64 (*.f64 B B) (*.f64 (neg.f64 x) (fma.f64 (*.f64 B (*.f64 B B)) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/24 binary64) (*.f64 x #s(literal 23/360 binary64))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B) |
(-.f64 (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) (/.f64 x B)) |
(-.f64 (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (*.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)) B) (/.f64 x B)) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) B) B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))) B) |
(-.f64 (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) (/.f64 x B)) |
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 B (*.f64 B B)) B))) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(*.f64 #s(literal -1/24 binary64) (pow.f64 B #s(literal 10 binary64))) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (sin.f64 B)) |
(*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x (sin.f64 B)))) |
(/.f64 (fma.f64 x (neg.f64 B) B) (*.f64 B (sin.f64 B))) |
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B))) |
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) B)) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x B)) (/.f64 x B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 (fma.f64 B (*.f64 B #s(literal -1/3 binary64)) #s(literal 1 binary64)) B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(*.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B)))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (neg.f64 (sin.f64 B))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 (cos.f64 B) x #s(literal -1 binary64))) |
(/.f64 (fma.f64 (sin.f64 B) (neg.f64 x) B) (*.f64 B (sin.f64 B))) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
3 calls:
| 18.0ms | B |
| 17.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 16.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | B |
| 99.7% | 1 | x |
| 99.7% | 1 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
(neg.f64 B) |
(*.f64 #s(literal 1/2 binary64) B) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
(/.f64 #s(literal 1 binary64) B) |
(/.f64 (neg.f64 x) B) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(*.f64 B (fma.f64 B (*.f64 B #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 B B)) (+.f64 #s(literal 0 binary64) B)) |
(/.f64 (-.f64 B (*.f64 B x)) (*.f64 B B)) |
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 B x B)) |
(/.f64 (-.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) |
(*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B #s(literal 1/240 binary64)) B #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(*.f64 B (fma.f64 (*.f64 B (fma.f64 (*.f64 B #s(literal 1/240 binary64)) B #s(literal 1/24 binary64))) B #s(literal 1/2 binary64))) |
(*.f64 B (fma.f64 (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64))) B #s(literal 1/2 binary64))) |
(neg.f64 (/.f64 (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 B B)) x) B)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 B x B))) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 B (*.f64 B B))) (+.f64 #s(literal 0 binary64) (fma.f64 B B (*.f64 #s(literal 0 binary64) B)))) |
(neg.f64 (fma.f64 x (*.f64 B (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))) (/.f64 x B))) |
(/.f64 (-.f64 (/.f64 B x) B) (*.f64 B (/.f64 B x))) |
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B))) |
(/.f64 (/.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (neg.f64 x)) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (fma.f64 (*.f64 B B) (*.f64 (neg.f64 x) (fma.f64 (*.f64 B (*.f64 B B)) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/24 binary64) (*.f64 x #s(literal 23/360 binary64))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B) |
(-.f64 (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) (/.f64 x B)) |
(-.f64 (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (*.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)) B) (/.f64 x B)) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) B) B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))) B) |
(-.f64 (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) (/.f64 x B)) |
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 B (*.f64 B B)) B))) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(*.f64 #s(literal -1/24 binary64) (pow.f64 B #s(literal 10 binary64))) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (sin.f64 B)) |
(*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x (sin.f64 B)))) |
(/.f64 (fma.f64 x (neg.f64 B) B) (*.f64 B (sin.f64 B))) |
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B))) |
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) B)) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x B)) (/.f64 x B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 (fma.f64 B (*.f64 B #s(literal -1/3 binary64)) #s(literal 1 binary64)) B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(*.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B)))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(/.f64 (*.f64 (cos.f64 B) x) (neg.f64 (sin.f64 B))) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (sin.f64 B)) |
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B))) |
3 calls:
| 20.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 18.0ms | B |
| 17.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.8% | 3 | B |
| 98.7% | 3 | x |
| 98.7% | 3 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
(neg.f64 B) |
(*.f64 #s(literal 1/2 binary64) B) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
(/.f64 #s(literal 1 binary64) B) |
(/.f64 (neg.f64 x) B) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(*.f64 B (fma.f64 B (*.f64 B #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 B B)) (+.f64 #s(literal 0 binary64) B)) |
(/.f64 (-.f64 B (*.f64 B x)) (*.f64 B B)) |
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 B x B)) |
(/.f64 (-.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) |
(*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B #s(literal 1/240 binary64)) B #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(*.f64 B (fma.f64 (*.f64 B (fma.f64 (*.f64 B #s(literal 1/240 binary64)) B #s(literal 1/24 binary64))) B #s(literal 1/2 binary64))) |
(*.f64 B (fma.f64 (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64))) B #s(literal 1/2 binary64))) |
(neg.f64 (/.f64 (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 B B)) x) B)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 B x B))) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 B (*.f64 B B))) (+.f64 #s(literal 0 binary64) (fma.f64 B B (*.f64 #s(literal 0 binary64) B)))) |
(neg.f64 (fma.f64 x (*.f64 B (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))) (/.f64 x B))) |
(/.f64 (-.f64 (/.f64 B x) B) (*.f64 B (/.f64 B x))) |
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B))) |
(/.f64 (/.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (neg.f64 x)) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (fma.f64 (*.f64 B B) (*.f64 (neg.f64 x) (fma.f64 (*.f64 B (*.f64 B B)) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/24 binary64) (*.f64 x #s(literal 23/360 binary64))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B) |
(-.f64 (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) (/.f64 x B)) |
(-.f64 (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (*.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)) B) (/.f64 x B)) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) B) B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))) B) |
(-.f64 (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) (/.f64 x B)) |
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 B (*.f64 B B)) B))) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(*.f64 #s(literal -1/24 binary64) (pow.f64 B #s(literal 10 binary64))) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (sin.f64 B)) |
(*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x (sin.f64 B)))) |
(/.f64 (fma.f64 x (neg.f64 B) B) (*.f64 B (sin.f64 B))) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) x) (sin.f64 B)) |
3 calls:
| 20.0ms | x |
| 14.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 14.0ms | B |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.0% | 1 | B |
| 77.0% | 1 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 77.0% | 1 | x |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
(neg.f64 B) |
(*.f64 #s(literal 1/2 binary64) B) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
(/.f64 #s(literal 1 binary64) B) |
(/.f64 (neg.f64 x) B) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(*.f64 B (fma.f64 B (*.f64 B #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 B B)) (+.f64 #s(literal 0 binary64) B)) |
(/.f64 (-.f64 B (*.f64 B x)) (*.f64 B B)) |
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 B x B)) |
(/.f64 (-.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) |
(*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B #s(literal 1/240 binary64)) B #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(*.f64 B (fma.f64 (*.f64 B (fma.f64 (*.f64 B #s(literal 1/240 binary64)) B #s(literal 1/24 binary64))) B #s(literal 1/2 binary64))) |
(*.f64 B (fma.f64 (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64))) B #s(literal 1/2 binary64))) |
(neg.f64 (/.f64 (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 B B)) x) B)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 B x B))) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 B (*.f64 B B))) (+.f64 #s(literal 0 binary64) (fma.f64 B B (*.f64 #s(literal 0 binary64) B)))) |
(neg.f64 (fma.f64 x (*.f64 B (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))) (/.f64 x B))) |
(/.f64 (-.f64 (/.f64 B x) B) (*.f64 B (/.f64 B x))) |
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B))) |
(/.f64 (/.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (neg.f64 x)) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (fma.f64 (*.f64 B B) (*.f64 (neg.f64 x) (fma.f64 (*.f64 B (*.f64 B B)) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/24 binary64) (*.f64 x #s(literal 23/360 binary64))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B) |
(-.f64 (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) (/.f64 x B)) |
(-.f64 (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (*.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)) B) (/.f64 x B)) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) B) B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))) B) |
(-.f64 (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) (/.f64 x B)) |
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 B (*.f64 B B)) B))) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(*.f64 #s(literal -1/24 binary64) (pow.f64 B #s(literal 10 binary64))) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
| Outputs |
|---|
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
3 calls:
| 42.0ms | B |
| 19.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 12.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.4% | 2 | B |
| 75.6% | 3 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 75.3% | 3 | x |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
(neg.f64 B) |
(*.f64 #s(literal 1/2 binary64) B) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
(/.f64 #s(literal 1 binary64) B) |
(/.f64 (neg.f64 x) B) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(*.f64 B (fma.f64 B (*.f64 B #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 B B)) (+.f64 #s(literal 0 binary64) B)) |
(/.f64 (-.f64 B (*.f64 B x)) (*.f64 B B)) |
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 B x B)) |
(/.f64 (-.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) |
(*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B #s(literal 1/240 binary64)) B #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(*.f64 B (fma.f64 (*.f64 B (fma.f64 (*.f64 B #s(literal 1/240 binary64)) B #s(literal 1/24 binary64))) B #s(literal 1/2 binary64))) |
(*.f64 B (fma.f64 (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64))) B #s(literal 1/2 binary64))) |
(neg.f64 (/.f64 (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 B B)) x) B)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 B x B))) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 B (*.f64 B B))) (+.f64 #s(literal 0 binary64) (fma.f64 B B (*.f64 #s(literal 0 binary64) B)))) |
(neg.f64 (fma.f64 x (*.f64 B (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))) (/.f64 x B))) |
(/.f64 (-.f64 (/.f64 B x) B) (*.f64 B (/.f64 B x))) |
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B))) |
(/.f64 (/.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (neg.f64 x)) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (fma.f64 (*.f64 B B) (*.f64 (neg.f64 x) (fma.f64 (*.f64 B (*.f64 B B)) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/24 binary64) (*.f64 x #s(literal 23/360 binary64))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B) |
(-.f64 (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) (/.f64 x B)) |
(-.f64 (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (*.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)) B) (/.f64 x B)) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) B) B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))) B) |
(-.f64 (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) (/.f64 x B)) |
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 B (*.f64 B B)) B))) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(*.f64 #s(literal -1/24 binary64) (pow.f64 B #s(literal 10 binary64))) |
| Outputs |
|---|
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 B (*.f64 B B)) B))) |
3 calls:
| 14.0ms | B |
| 14.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 12.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.3% | 1 | x |
| 51.3% | 1 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 51.3% | 1 | B |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
(neg.f64 B) |
(*.f64 #s(literal 1/2 binary64) B) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
(/.f64 #s(literal 1 binary64) B) |
(/.f64 (neg.f64 x) B) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(*.f64 B (fma.f64 B (*.f64 B #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 B B)) (+.f64 #s(literal 0 binary64) B)) |
(/.f64 (-.f64 B (*.f64 B x)) (*.f64 B B)) |
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 B x B)) |
(/.f64 (-.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) |
(*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B #s(literal 1/240 binary64)) B #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(*.f64 B (fma.f64 (*.f64 B (fma.f64 (*.f64 B #s(literal 1/240 binary64)) B #s(literal 1/24 binary64))) B #s(literal 1/2 binary64))) |
(*.f64 B (fma.f64 (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64))) B #s(literal 1/2 binary64))) |
(neg.f64 (/.f64 (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 B B)) x) B)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 B x B))) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 B (*.f64 B B))) (+.f64 #s(literal 0 binary64) (fma.f64 B B (*.f64 #s(literal 0 binary64) B)))) |
(neg.f64 (fma.f64 x (*.f64 B (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))) (/.f64 x B))) |
(/.f64 (-.f64 (/.f64 B x) B) (*.f64 B (/.f64 B x))) |
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B))) |
(/.f64 (/.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (neg.f64 x)) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (fma.f64 (*.f64 B B) (*.f64 (neg.f64 x) (fma.f64 (*.f64 B (*.f64 B B)) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/24 binary64) (*.f64 x #s(literal 23/360 binary64))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B) |
(-.f64 (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) (/.f64 x B)) |
(-.f64 (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (*.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)) B) (/.f64 x B)) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) B) B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))) B) |
(-.f64 (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) (/.f64 x B)) |
| Outputs |
|---|
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B))) |
3 calls:
| 18.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 11.0ms | x |
| 11.0ms | B |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.2% | 1 | B |
| 51.2% | 1 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 51.2% | 1 | x |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
(neg.f64 B) |
(*.f64 #s(literal 1/2 binary64) B) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
(/.f64 #s(literal 1 binary64) B) |
(/.f64 (neg.f64 x) B) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(*.f64 B (fma.f64 B (*.f64 B #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 B B)) (+.f64 #s(literal 0 binary64) B)) |
(/.f64 (-.f64 B (*.f64 B x)) (*.f64 B B)) |
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 B x B)) |
(/.f64 (-.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) |
(*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B #s(literal 1/240 binary64)) B #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(*.f64 B (fma.f64 (*.f64 B (fma.f64 (*.f64 B #s(literal 1/240 binary64)) B #s(literal 1/24 binary64))) B #s(literal 1/2 binary64))) |
(*.f64 B (fma.f64 (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64))) B #s(literal 1/2 binary64))) |
(neg.f64 (/.f64 (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 B B)) x) B)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 B x B))) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (-.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 B (*.f64 B B))) (+.f64 #s(literal 0 binary64) (fma.f64 B B (*.f64 #s(literal 0 binary64) B)))) |
(neg.f64 (fma.f64 x (*.f64 B (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/45 binary64)) #s(literal -1/3 binary64))) (/.f64 x B))) |
(/.f64 (-.f64 (/.f64 B x) B) (*.f64 B (/.f64 B x))) |
| Outputs |
|---|
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) |
3 calls:
| 11.0ms | x |
| 10.0ms | B |
| 8.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.2% | 1 | B |
| 51.2% | 1 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 51.2% | 1 | x |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
(neg.f64 B) |
(*.f64 #s(literal 1/2 binary64) B) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
(/.f64 #s(literal 1 binary64) B) |
(/.f64 (neg.f64 x) B) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(*.f64 B (fma.f64 B (*.f64 B #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/24 binary64) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 B B)) (+.f64 #s(literal 0 binary64) B)) |
(/.f64 (-.f64 B (*.f64 B x)) (*.f64 B B)) |
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 B x B)) |
(/.f64 (-.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) |
(*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B #s(literal 1/240 binary64)) B #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))) |
(*.f64 B (fma.f64 (*.f64 B (fma.f64 (*.f64 B #s(literal 1/240 binary64)) B #s(literal 1/24 binary64))) B #s(literal 1/2 binary64))) |
(*.f64 B (fma.f64 (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/240 binary64) #s(literal 1/24 binary64))) B #s(literal 1/2 binary64))) |
(neg.f64 (/.f64 (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 B B)) x) B)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 B x B))) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
3 calls:
| 8.0ms | x |
| 6.0ms | B |
| 6.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.2% | 1 | B |
| 51.2% | 1 | x |
| 51.2% | 1 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
(neg.f64 B) |
(*.f64 #s(literal 1/2 binary64) B) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
(/.f64 #s(literal 1 binary64) B) |
(/.f64 (neg.f64 x) B) |
| Outputs |
|---|
(/.f64 (neg.f64 x) B) |
(/.f64 #s(literal 1 binary64) B) |
(/.f64 (neg.f64 x) B) |
3 calls:
| 10.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 2.0ms | B |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 29.1% | 2 | B |
| 50.0% | 3 | x |
| 43.1% | 3 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
(neg.f64 B) |
(*.f64 #s(literal 1/2 binary64) B) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
(/.f64 #s(literal 1 binary64) B) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) B) |
3 calls:
| 4.0ms | B |
| 2.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 27.5% | 1 | B |
| 27.5% | 1 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 27.5% | 1 | x |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
(neg.f64 B) |
(*.f64 #s(literal 1/2 binary64) B) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) B) |
3 calls:
| 2.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 2.0ms | x |
| 2.0ms | B |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.1% | 1 | x |
| 3.1% | 1 | B |
| 3.1% | 1 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
Compiled 20 to 14 computations (30% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(neg.f64 B) |
| Outputs |
|---|
(neg.f64 B) |
3 calls:
| 1.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 1.0ms | B |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 2.6% | 1 | B |
| 2.6% | 1 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 2.6% | 1 | x |
Compiled 20 to 14 computations (30% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 30.0ms | 3.062224634459377e-6 | 0.004827706754745533 |
| 26.0ms | -79.84128523270898 | -2.688588264547513e-7 |
| 30.0ms | 272× | 0 | valid |
Compiled 357 to 270 computations (24.4% saved)
ival-tan: 10.0ms (42.3% of total)ival-sin: 5.0ms (21.2% of total)ival-div: 4.0ms (16.9% of total)ival-mult: 2.0ms (8.5% of total)ival-add: 1.0ms (4.2% of total)ival-neg: 1.0ms (4.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 0.17817595558180235 | 0.7111023273420267 |
| 6.0ms | 80× | 0 | valid |
Compiled 212 to 145 computations (31.6% saved)
ival-tan: 2.0ms (44.4% of total)ival-div: 1.0ms (22.2% of total)ival-sin: 1.0ms (22.2% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 0.21732913274211468 | 1378502872389.4966 |
| 20.0ms | -2.443989361824314e-8 | -3.379154219597049e-16 |
| 32.0ms | 304× | 0 | valid |
Compiled 264 to 205 computations (22.3% saved)
ival-sin: 7.0ms (30.6% of total)ival-tan: 6.0ms (26.2% of total)ival-div: 4.0ms (17.5% of total)ival-mult: 2.0ms (8.7% of total)ival-add: 1.0ms (4.4% of total)ival-neg: 1.0ms (4.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 30× | +-commutative_binary64 |
| 26× | sub-neg_binary64 |
| 24× | *-commutative_binary64 |
| 14× | neg-sub0_binary64 |
| 14× | neg-mul-1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 176 |
| 1 | 101 | 174 |
| 2 | 128 | 174 |
| 3 | 139 | 174 |
| 4 | 144 | 174 |
| 5 | 145 | 174 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(if (<=.f64 x #s(literal -3602879701896397/2251799813685248 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B))) (if (<=.f64 x #s(literal 5534023222112865/1152921504606846976 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (sin.f64 B)) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B))))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (sin.f64 B)) |
(if (<=.f64 B #s(literal 2206763817411543/4503599627370496 binary64)) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 B (*.f64 B B)) B))) |
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B))) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(if (<=.f64 x #s(literal -7253554917687775/302231454903657293676544 binary64)) (/.f64 (neg.f64 x) B) (if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) B) (/.f64 (neg.f64 x) B))) |
(/.f64 #s(literal 1 binary64) B) |
(*.f64 #s(literal 1/2 binary64) B) |
(neg.f64 B) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 B) x)) (sin.f64 B)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(if (<=.f64 x #s(literal -3602879701896397/2251799813685248 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B))) (if (<=.f64 x #s(literal 5534023222112865/1152921504606846976 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (sin.f64 B)) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B))))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (sin.f64 B)) |
(if (<=.f64 B #s(literal 2206763817411543/4503599627370496 binary64)) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 B (*.f64 B B)) B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 B (*.f64 B B)) B)) (/.f64 x B)) |
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B)) (/.f64 x B)) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(if (<=.f64 x #s(literal -7253554917687775/302231454903657293676544 binary64)) (/.f64 (neg.f64 x) B) (if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) B) (/.f64 (neg.f64 x) B))) |
(if (<=.f64 x #s(literal -7253554917687775/302231454903657293676544 binary64)) (neg.f64 (/.f64 x B)) (if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) B) (neg.f64 (/.f64 x B)))) |
(/.f64 #s(literal 1 binary64) B) |
(*.f64 #s(literal 1/2 binary64) B) |
(*.f64 B #s(literal 1/2 binary64)) |
(neg.f64 B) |
| 23 696× | lower-fma.f64 |
| 23 696× | lower-fma.f32 |
| 17 132× | lower-fma.f64 |
| 17 132× | lower-fma.f32 |
| 14 270× | lower-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 31 |
| 0 | 17 | 24 |
| 1 | 59 | 23 |
| 2 | 376 | 23 |
| 3 | 4328 | 23 |
| 0 | 8975 | 23 |
| 0 | 136 | 919 |
| 1 | 387 | 912 |
| 2 | 1328 | 888 |
| 3 | 5247 | 879 |
| 0 | 8022 | 846 |
| 0 | 248 | 2658 |
| 1 | 684 | 2552 |
| 2 | 2084 | 2467 |
| 3 | 5642 | 2430 |
| 0 | 8413 | 2320 |
| 0 | 430 | 3417 |
| 1 | 1338 | 3347 |
| 2 | 4214 | 3216 |
| 0 | 8253 | 2979 |
| 0 | 31 | 143 |
| 0 | 60 | 143 |
| 1 | 272 | 139 |
| 2 | 2247 | 139 |
| 0 | 9760 | 139 |
| 0 | 417 | 3301 |
| 1 | 1275 | 3203 |
| 2 | 3868 | 3112 |
| 0 | 8250 | 2873 |
| 0 | 23 | 103 |
| 0 | 42 | 85 |
| 1 | 177 | 84 |
| 2 | 1351 | 84 |
| 0 | 9498 | 84 |
| 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× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 397 to 225 computations (43.3% saved)
(negabs B)
Compiled 490 to 236 computations (51.8% saved)
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