
Time bar (total: 11.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 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)
| 767.0ms | 8 256× | 0 | valid |
ival-tan: 177.0ms (29.7% of total)ival-sin: 162.0ms (27.2% of total)ival-div: 118.0ms (19.8% of total)ival-mult: 54.0ms (9.1% of total)ival-add: 37.0ms (6.2% of total)ival-neg: 34.0ms (5.7% 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 |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
| 0 | 0 | - | 0 | - | (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
| 0 | 0 | - | 0 | - | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 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 | - | (tan.f64 B) |
| 0 | 0 | - | 0 | - | B |
| 0 | 0 | - | 0 | - | (sin.f64 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 |
| 52.0ms | 512× | 0 | valid |
Compiled 112 to 44 computations (60.7% saved)
ival-sin: 11.0ms (30.4% of total)ival-tan: 10.0ms (27.7% of total)ival-div: 7.0ms (19.4% of total)ival-mult: 3.0ms (8.3% of total)ival-add: 2.0ms (5.5% of total)ival-neg: 2.0ms (5.5% 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 | 100.0% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (sin.f64 B)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (tan.f64 B)) |
| ✓ | accuracy | 99.7% | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
| 25.0ms | 256× | 0 | valid |
Compiled 42 to 12 computations (71.4% saved)
ival-sin: 5.0ms (28.7% of total)ival-tan: 5.0ms (28.7% of total)ival-div: 3.0ms (17.2% of total)ival-mult: 2.0ms (11.5% of total)ival-add: 1.0ms (5.7% of total)ival-neg: 1.0ms (5.7% 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 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 (/.f64 #s(literal 1 binary64) (sin.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 (/ 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))> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (* x (/ 1 (tan B))) |
| 2.0ms | B | @ | inf | (* x (/ 1 (tan B))) |
| 1.0ms | x | @ | inf | (* x (/ 1 (tan B))) |
| 1.0ms | B | @ | -inf | (* x (/ 1 (tan B))) |
| 1.0ms | B | @ | 0 | (* x (/ 1 (tan B))) |
| 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 | 33 |
| 0 | 17 | 26 |
| 1 | 59 | 25 |
| 2 | 376 | 25 |
| 3 | 4328 | 25 |
| 0 | 8975 | 25 |
| 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)) |
(/.f64 #s(literal 1 binary64) (sin.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)) |
(fma.f64 (*.f64 x (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal -1 binary64) (/.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 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(exp.f64 (neg.f64 (log.f64 (sin.f64 B)))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 B))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 B))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 B)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)) |
(neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.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) (sin.f64 B)) |
(/.f64 (+.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) #s(literal 0 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64))))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64))) |
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (sin.f64 B)) |
(pow.f64 (sin.f64 B) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 1 binary64)) |
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (sin.f64 B))) |
(*.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 (/.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 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) |
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 1× | egg-herbie |
| 25 592× | lower-fma.f64 |
| 25 592× | lower-fma.f32 |
| 5 136× | lower-*.f64 |
| 5 136× | lower-*.f32 |
| 4 098× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 135 | 913 |
| 1 | 368 | 906 |
| 2 | 1218 | 888 |
| 3 | 4458 | 883 |
| 4 | 7788 | 881 |
| 0 | 8237 | 848 |
| 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)) |
(/ 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)) |
| 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 (/.f64 x B) (*.f64 #s(literal 1/3 binary64) (*.f64 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 x #s(literal -1/3 binary64) (*.f64 (*.f64 B B) (fma.f64 (*.f64 x (*.f64 B B)) #s(literal -2/945 binary64) (*.f64 x #s(literal -1/45 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 (-.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 x #s(literal 1/3 binary64) (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))) #s(literal 1/6 binary64))) (-.f64 #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)) |
(/.f64 x (neg.f64 B)) |
(/ (- (* 1/3 (* (pow B 2) x)) x) B) |
(fma.f64 x (*.f64 B #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))))) x) B) |
(fma.f64 B (*.f64 (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64))) #s(literal 1 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 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 (*.f64 x B) #s(literal 2/945 binary64)) (*.f64 x #s(literal 1/45 binary64))) (*.f64 x #s(literal 1/3 binary64))) (*.f64 B #s(literal 1 binary64)) (/.f64 x (neg.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 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 (*.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)) |
(/ 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 B (*.f64 B (fma.f64 (*.f64 B 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 B (*.f64 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)) |
Compiled 9 519 to 1 203 computations (87.4% saved)
19 alts after pruning (19 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 534 | 19 | 553 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 535 | 19 | 554 |
| Status | Accuracy | Program |
|---|---|---|
| 99.8% | (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| 55.1% | (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (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))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) | |
| 83.4% | (/.f64 (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) (*.f64 (tan.f64 B) (sin.f64 B))) | |
| 38.1% | (/.f64 (fma.f64 x (sin.f64 B) (tan.f64 B)) (*.f64 (tan.f64 B) (sin.f64 B))) | |
| 55.2% | (/.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) | |
| 55.1% | (/.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) | |
| ▶ | 55.2% | (/.f64 (-.f64 #s(literal 1 binary64) x) B) |
| 47.7% | (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) | |
| ▶ | 53.0% | (/.f64 #s(literal 1 binary64) (sin.f64 B)) |
| ▶ | 99.8% | (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| 64.8% | (+.f64 (fma.f64 x (*.f64 B #s(literal 1/3 binary64)) (/.f64 x (neg.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| ▶ | 58.0% | (+.f64 (fma.f64 B (*.f64 (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (/.f64 x (neg.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 78.0% | (+.f64 (/.f64 x (neg.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| 99.7% | (+.f64 (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| 57.4% | (+.f64 (neg.f64 (*.f64 x (/.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))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| 75.0% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| ▶ | 40.7% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64))) |
| 52.4% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)))) | |
| 75.9% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) B)) |
Compiled 638 to 422 computations (33.9% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
| ✓ | cost-diff | 128 | (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) |
| ✓ | cost-diff | 128 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 320 | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64))) |
| ✓ | cost-diff | 128 | (fma.f64 B (*.f64 (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (/.f64 x (neg.f64 B))) |
| ✓ | cost-diff | 128 | (+.f64 (fma.f64 B (*.f64 (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (/.f64 x (neg.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| ✓ | cost-diff | 320 | (*.f64 (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (sin.f64 B) |
| ✓ | cost-diff | 0 | (/.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))) |
| 4 596× | lower-fma.f32 |
| 4 592× | lower-fma.f64 |
| 1 536× | lower-*.f32 |
| 1 526× | lower-*.f64 |
| 724× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 197 |
| 0 | 57 | 189 |
| 1 | 110 | 184 |
| 2 | 229 | 184 |
| 3 | 483 | 184 |
| 4 | 799 | 184 |
| 5 | 1342 | 184 |
| 6 | 2295 | 184 |
| 7 | 3289 | 184 |
| 8 | 3848 | 184 |
| 9 | 3980 | 184 |
| 10 | 3990 | 184 |
| 11 | 3990 | 184 |
| 12 | 4014 | 184 |
| 13 | 4014 | 184 |
| 14 | 4014 | 184 |
| 15 | 4023 | 184 |
| 0 | 4023 | 178 |
| 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 #s(literal 1 binary64) (sin.f64 B)) |
#s(literal 1 binary64) |
(sin.f64 B) |
B |
(+.f64 (fma.f64 B (*.f64 (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (/.f64 x (neg.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 B (*.f64 (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (/.f64 x (neg.f64 B))) |
B |
(*.f64 (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)) |
(*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64))) |
x |
(fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) |
(*.f64 B B) |
#s(literal 1/45 binary64) |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
(/.f64 x (neg.f64 B)) |
(neg.f64 B) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(sin.f64 B) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64))) |
(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 |
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))) |
(cos.f64 (+.f64 B B)) |
(+.f64 B B) |
#s(literal -1/2 binary64) |
| 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 #s(literal 1 binary64) (sin.f64 B)) |
#s(literal 1 binary64) |
(sin.f64 B) |
B |
(+.f64 (fma.f64 B (*.f64 (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (/.f64 x (neg.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 x (fma.f64 B (fma.f64 B (*.f64 B #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 B (*.f64 (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (/.f64 x (neg.f64 B))) |
(*.f64 x (fma.f64 B (fma.f64 B (*.f64 B #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) B))) |
B |
(*.f64 (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)) |
(*.f64 x (fma.f64 B (*.f64 B #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) |
(*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64))) |
(*.f64 x (fma.f64 B (*.f64 B #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) |
x |
(fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) |
(fma.f64 B (*.f64 B #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) |
(*.f64 B B) |
#s(literal 1/45 binary64) |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
(/.f64 x (neg.f64 B)) |
(neg.f64 B) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(sin.f64 B) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64))) |
(-.f64 (pow.f64 (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (/.f64 x (tan.f64 B))) |
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
(/.f64 (neg.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 |
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64)) |
(pow.f64 (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) |
(fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))) |
(cos.f64 (+.f64 B B)) |
(+.f64 B B) |
#s(literal -1/2 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (tan.f64 B)) |
| ✓ | accuracy | 99.7% | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
| ✓ | accuracy | 75.5% | (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) |
| ✓ | accuracy | 73.8% | (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 B (*.f64 (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (/.f64 x (neg.f64 B))) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (sin.f64 B)) |
| ✓ | accuracy | 92.8% | (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64))) |
| ✓ | accuracy | 100.0% | (sin.f64 B) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (sin.f64 B)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 #s(literal 1 binary64) x) B) |
| ✓ | accuracy | 100.0% | (sin.f64 B) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| ✓ | accuracy | 99.8% | (/.f64 x (tan.f64 B)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (sin.f64 B)) |
| 71.0ms | 83× | 1 | valid |
| 59.0ms | 46× | 2 | valid |
| 42.0ms | 120× | 0 | valid |
| 13.0ms | 6× | 3 | valid |
| 2.0ms | 1× | 4 | valid |
Compiled 199 to 35 computations (82.4% saved)
ival-tan: 42.0ms (26.7% of total)ival-cos: 26.0ms (16.5% of total)ival-pow: 15.0ms (9.5% of total)ival-mult: 14.0ms (8.9% of total)ival-add: 13.0ms (8.3% of total)ival-div: 12.0ms (7.6% of total)adjust: 11.0ms (7% of total)const: 8.0ms (5.1% of total)ival-sin: 8.0ms (5.1% of total)ival-sub: 5.0ms (3.2% of total)ival-neg: 3.0ms (1.9% of total)exact: 1.0ms (0.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 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 (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64))> |
#<alt (+.f64 (fma.f64 B (*.f64 (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (/.f64 x (neg.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))> |
#<alt (fma.f64 B (*.f64 (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (/.f64 x (neg.f64 B)))> |
#<alt (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))> |
#<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)))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64)))> |
#<alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))> |
#<alt (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))> |
#<alt (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64))> |
#<alt (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64))> |
#<alt (/.f64 #s(literal 1 binary64) (tan.f64 B))> |
| Outputs |
|---|
#<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 (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 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 (* x (+ 1/3 (* 1/45 (pow B 2))))> |
#<alt (* x (+ 1/3 (* 1/45 (pow B 2))))> |
#<alt (* x (+ 1/3 (* 1/45 (pow B 2))))> |
#<alt (* x (+ 1/3 (* 1/45 (pow B 2))))> |
#<alt (* x (+ 1/3 (* 1/45 (pow B 2))))> |
#<alt (* x (+ 1/3 (* 1/45 (pow B 2))))> |
#<alt (* x (+ 1/3 (* 1/45 (pow B 2))))> |
#<alt (* x (+ 1/3 (* 1/45 (pow B 2))))> |
#<alt (* x (+ 1/3 (* 1/45 (pow B 2))))> |
#<alt (* x (+ 1/3 (* 1/45 (pow B 2))))> |
#<alt (* x (+ 1/3 (* 1/45 (pow B 2))))> |
#<alt (* x (+ 1/3 (* 1/45 (pow B 2))))> |
#<alt (* 1/3 x)> |
#<alt (+ (* 1/45 (* (pow B 2) x)) (* 1/3 x))> |
#<alt (+ (* 1/45 (* (pow B 2) x)) (* 1/3 x))> |
#<alt (+ (* 1/45 (* (pow B 2) x)) (* 1/3 x))> |
#<alt (* 1/45 (* (pow B 2) x))> |
#<alt (* (pow B 2) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2)))))> |
#<alt (* (pow B 2) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2)))))> |
#<alt (* (pow B 2) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2)))))> |
#<alt (* 1/45 (* (pow B 2) x))> |
#<alt (* (pow B 2) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2)))))> |
#<alt (* (pow B 2) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2)))))> |
#<alt (* (pow B 2) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2)))))> |
#<alt (/ (+ 1 (* -1 x)) B)> |
#<alt (/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (* 1/3 x))))) B)> |
#<alt (/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (* 1/45 x)))))))) B)> |
#<alt (/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* 31/15120 (pow B 2)) (* 1/45 x))))))))) B)> |
#<alt (* 1/45 (* (pow B 3) x))> |
#<alt (* (pow B 3) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2)))))> |
#<alt (* (pow B 3) (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (/ 1 (* (pow B 3) (sin B))))))> |
#<alt (* (pow B 3) (+ (* -1 (/ x (pow B 4))) (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (/ 1 (* (pow B 3) (sin B)))))))> |
#<alt (* 1/45 (* (pow B 3) x))> |
#<alt (* -1 (* (pow B 3) (+ (* -1/3 (/ x (pow B 2))) (* -1/45 x))))> |
#<alt (* -1 (* (pow B 3) (- (+ (* -1/3 (/ x (pow B 2))) (* -1/45 x)) (/ 1 (* (pow B 3) (sin B))))))> |
#<alt (* -1 (* (pow B 3) (+ (* -1 (/ (+ (* -1 (/ x B)) (/ 1 (sin B))) (pow B 3))) (+ (* -1/3 (/ x (pow B 2))) (* -1/45 x)))))> |
#<alt (/ 1 (sin B))> |
#<alt (+ (* x (- (* B (+ 1/3 (* 1/45 (pow B 2)))) (/ 1 B))) (/ 1 (sin B)))> |
#<alt (+ (* x (- (* B (+ 1/3 (* 1/45 (pow B 2)))) (/ 1 B))) (/ 1 (sin B)))> |
#<alt (+ (* x (- (* B (+ 1/3 (* 1/45 (pow B 2)))) (/ 1 B))) (/ 1 (sin B)))> |
#<alt (* x (- (* B (+ 1/3 (* 1/45 (pow B 2)))) (/ 1 B)))> |
#<alt (* x (- (+ (* B (+ 1/3 (* 1/45 (pow B 2)))) (/ 1 (* x (sin B)))) (/ 1 B)))> |
#<alt (* x (- (+ (* B (+ 1/3 (* 1/45 (pow B 2)))) (/ 1 (* x (sin B)))) (/ 1 B)))> |
#<alt (* x (- (+ (* B (+ 1/3 (* 1/45 (pow B 2)))) (/ 1 (* x (sin B)))) (/ 1 B)))> |
#<alt (* -1 (* x (+ (* -1 (* B (+ 1/3 (* 1/45 (pow B 2))))) (/ 1 B))))> |
#<alt (* -1 (* x (- (+ (* -1 (* B (+ 1/3 (* 1/45 (pow B 2))))) (/ 1 B)) (/ 1 (* x (sin B))))))> |
#<alt (* -1 (* x (- (+ (* -1 (* B (+ 1/3 (* 1/45 (pow B 2))))) (/ 1 B)) (/ 1 (* x (sin B))))))> |
#<alt (* -1 (* x (- (+ (* -1 (* B (+ 1/3 (* 1/45 (pow B 2))))) (/ 1 B)) (/ 1 (* x (sin B))))))> |
#<alt (* -1 (/ x B))> |
#<alt (/ (+ (* -1 x) (* 1/3 (* (pow B 2) x))) B)> |
#<alt (/ (+ (* -1 x) (* (pow B 2) (+ (* 1/45 (* (pow B 2) x)) (* 1/3 x)))) B)> |
#<alt (/ (+ (* -1 x) (* (pow B 2) (+ (* 1/45 (* (pow B 2) x)) (* 1/3 x)))) B)> |
#<alt (* 1/45 (* (pow B 3) x))> |
#<alt (* (pow B 3) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2)))))> |
#<alt (* (pow B 3) (+ (* -1 (/ x (pow B 4))) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2))))))> |
#<alt (* (pow B 3) (+ (* -1 (/ x (pow B 4))) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2))))))> |
#<alt (* 1/45 (* (pow B 3) x))> |
#<alt (* -1 (* (pow B 3) (+ (* -1/3 (/ x (pow B 2))) (* -1/45 x))))> |
#<alt (* -1 (* (pow B 3) (+ (* -1/3 (/ x (pow B 2))) (+ (* -1/45 x) (/ x (pow B 4))))))> |
#<alt (* -1 (* (pow B 3) (+ (* -1/3 (/ x (pow B 2))) (+ (* -1/45 x) (/ x (pow B 4))))))> |
#<alt (* x (- (* B (+ 1/3 (* 1/45 (pow B 2)))) (/ 1 B)))> |
#<alt (* x (- (* B (+ 1/3 (* 1/45 (pow B 2)))) (/ 1 B)))> |
#<alt (* x (- (* B (+ 1/3 (* 1/45 (pow B 2)))) (/ 1 B)))> |
#<alt (* x (- (* B (+ 1/3 (* 1/45 (pow B 2)))) (/ 1 B)))> |
#<alt (* x (- (* B (+ 1/3 (* 1/45 (pow B 2)))) (/ 1 B)))> |
#<alt (* x (- (* B (+ 1/3 (* 1/45 (pow B 2)))) (/ 1 B)))> |
#<alt (* x (- (* B (+ 1/3 (* 1/45 (pow B 2)))) (/ 1 B)))> |
#<alt (* x (- (* B (+ 1/3 (* 1/45 (pow B 2)))) (/ 1 B)))> |
#<alt (* -1 (* x (+ (* -1 (* B (+ 1/3 (* 1/45 (pow B 2))))) (/ 1 B))))> |
#<alt (* -1 (* x (+ (* -1 (* B (+ 1/3 (* 1/45 (pow B 2))))) (/ 1 B))))> |
#<alt (* -1 (* x (+ (* -1 (* B (+ 1/3 (* 1/45 (pow B 2))))) (/ 1 B))))> |
#<alt (* -1 (* x (+ (* -1 (* B (+ 1/3 (* 1/45 (pow B 2))))) (/ 1 B))))> |
#<alt (* x (+ 1/3 (* 1/45 (pow B 2))))> |
#<alt (* x (+ 1/3 (* 1/45 (pow B 2))))> |
#<alt (* x (+ 1/3 (* 1/45 (pow B 2))))> |
#<alt (* x (+ 1/3 (* 1/45 (pow B 2))))> |
#<alt (* x (+ 1/3 (* 1/45 (pow B 2))))> |
#<alt (* x (+ 1/3 (* 1/45 (pow B 2))))> |
#<alt (* x (+ 1/3 (* 1/45 (pow B 2))))> |
#<alt (* x (+ 1/3 (* 1/45 (pow B 2))))> |
#<alt (* x (+ 1/3 (* 1/45 (pow B 2))))> |
#<alt (* x (+ 1/3 (* 1/45 (pow B 2))))> |
#<alt (* x (+ 1/3 (* 1/45 (pow B 2))))> |
#<alt (* x (+ 1/3 (* 1/45 (pow B 2))))> |
#<alt (* 1/3 x)> |
#<alt (+ (* 1/45 (* (pow B 2) x)) (* 1/3 x))> |
#<alt (+ (* 1/45 (* (pow B 2) x)) (* 1/3 x))> |
#<alt (+ (* 1/45 (* (pow B 2) x)) (* 1/3 x))> |
#<alt (* 1/45 (* (pow B 2) x))> |
#<alt (* (pow B 2) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2)))))> |
#<alt (* (pow B 2) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2)))))> |
#<alt (* (pow B 2) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2)))))> |
#<alt (* 1/45 (* (pow B 2) x))> |
#<alt (* (pow B 2) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2)))))> |
#<alt (* (pow B 2) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2)))))> |
#<alt (* (pow B 2) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2)))))> |
#<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 (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B))))))> |
#<alt (+ (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) (* -1 (/ (* x (cos B)) (sin B))))> |
#<alt (+ (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) (* -1 (/ (* x (cos B)) (sin B))))> |
#<alt (+ (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) (* -1 (/ (* x (cos B)) (sin B))))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* x (- (* (/ 1 x) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B))))))) (/ (cos B) (sin B))))> |
#<alt (* x (- (* (/ 1 x) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B))))))) (/ (cos B) (sin B))))> |
#<alt (* x (- (* (/ 1 x) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B))))))) (/ (cos B) (sin B))))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))))) (/ (cos B) (sin B)))))> |
#<alt (* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))))) (/ (cos B) (sin B)))))> |
#<alt (* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))))) (/ (cos B) (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 (- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) (/ (* x (cos B)) (sin B)))> |
#<alt (- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) (/ (* x (cos B)) (sin B)))> |
#<alt (- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) (/ (* x (cos B)) (sin B)))> |
#<alt (- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) (/ (* x (cos B)) (sin B)))> |
#<alt (- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))) (/ (* x (cos B)) (sin B)))> |
#<alt (- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))) (/ (* x (cos B)) (sin B)))> |
#<alt (- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))) (/ (* x (cos B)) (sin B)))> |
#<alt (- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))) (/ (* x (cos B)) (sin B)))> |
#<alt (pow B 2)> |
#<alt (* (pow B 2) (+ 1 (* -1/3 (pow B 2))))> |
#<alt (* (pow B 2) (+ 1 (* (pow B 2) (- (* 2/45 (pow B 2)) 1/3))))> |
#<alt (* (pow B 2) (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 2/45 (* -1/315 (pow B 2)))) 1/3))))> |
#<alt (- 1/2 (* 1/2 (cos (* 2 B))))> |
#<alt (- 1/2 (* 1/2 (cos (* 2 B))))> |
#<alt (- 1/2 (* 1/2 (cos (* 2 B))))> |
#<alt (- 1/2 (* 1/2 (cos (* 2 B))))> |
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 B)))))> |
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 B)))))> |
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 B)))))> |
#<alt (- 1/2 (* 1/2 (cos (neg (* -2 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 1/3> |
#<alt (+ 1/3 (* 1/45 (pow B 2)))> |
#<alt (+ 1/3 (* 1/45 (pow B 2)))> |
#<alt (+ 1/3 (* 1/45 (pow B 2)))> |
#<alt (* 1/45 (pow B 2))> |
#<alt (* (pow B 2) (+ 1/45 (* 1/3 (/ 1 (pow B 2)))))> |
#<alt (* (pow B 2) (+ 1/45 (* 1/3 (/ 1 (pow B 2)))))> |
#<alt (* (pow B 2) (+ 1/45 (* 1/3 (/ 1 (pow B 2)))))> |
#<alt (* 1/45 (pow B 2))> |
#<alt (* (pow B 2) (+ 1/45 (* 1/3 (/ 1 (pow B 2)))))> |
#<alt (* (pow B 2) (+ 1/45 (* 1/3 (/ 1 (pow B 2)))))> |
#<alt (* (pow B 2) (+ 1/45 (* 1/3 (/ 1 (pow B 2)))))> |
#<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 (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B))))))> |
#<alt (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B))))))> |
#<alt (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B))))))> |
#<alt (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B))))))> |
#<alt (sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B)))))))> |
#<alt (sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B)))))))> |
#<alt (sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B)))))))> |
#<alt (sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 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))> |
81 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | (/ (- 1 x) B) |
| 3.0ms | B | @ | inf | (+ (* B (* (* x (+ (* (* B B) 1/45) 1/3)) 1)) (/ x (neg B))) |
| 2.0ms | B | @ | -inf | (- (/ 1 (sin B)) (/ x (tan B))) |
| 1.0ms | x | @ | 0 | (+ (neg (* x (/ 1 (tan B)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) |
| 1.0ms | B | @ | -inf | (+ (neg (* x (/ 1 (tan B)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) |
| 1× | batch-egg-rewrite |
| 6 418× | lower-fma.f32 |
| 6 414× | lower-fma.f64 |
| 4 634× | lower-/.f32 |
| 4 624× | lower-/.f64 |
| 3 630× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 141 |
| 0 | 57 | 116 |
| 1 | 251 | 112 |
| 2 | 2123 | 112 |
| 0 | 8838 | 112 |
| 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 (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)) |
(+.f64 (fma.f64 B (*.f64 (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (/.f64 x (neg.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 B (*.f64 (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (/.f64 x (neg.f64 B))) |
(*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) |
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) |
(fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) |
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (tan.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 #s(literal 0 binary64) (-.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.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) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (/.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) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))) (/.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (+.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 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (neg.f64 (/.f64 x (*.f64 (sin.f64 B) (tan.f64 B))))))) (/.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (neg.f64 (/.f64 x (*.f64 (sin.f64 B) (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 #s(literal 1 binary64) (neg.f64 (tan.f64 B))) (*.f64 (sin.f64 B) (neg.f64 (tan.f64 B)))) (/.f64 (*.f64 (sin.f64 B) (neg.f64 x)) (*.f64 (sin.f64 B) (neg.f64 (tan.f64 B))))) |
(-.f64 (/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) (*.f64 (neg.f64 (sin.f64 B)) (/.f64 (tan.f64 B) x))) (/.f64 (*.f64 (neg.f64 (sin.f64 B)) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 B)) (/.f64 (tan.f64 B) x)))) |
(-.f64 (/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 B))) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 (tan.f64 B)))) (/.f64 (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 x)) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 (tan.f64 B))))) |
(-.f64 (/.f64 (neg.f64 (tan.f64 B)) (*.f64 (neg.f64 (sin.f64 B)) (tan.f64 B))) (/.f64 (*.f64 (neg.f64 (sin.f64 B)) x) (*.f64 (neg.f64 (sin.f64 B)) (tan.f64 B)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (neg.f64 (/.f64 x (tan.f64 B))))) (/.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (neg.f64 (/.f64 x (tan.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 #s(literal 1 binary64) (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (sin.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 x (/.f64 #s(literal -1 binary64) (tan.f64 B)) (/.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 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (neg.f64 (/.f64 x (tan.f64 B))) #s(literal 1 binary64) (/.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 (neg.f64 x) (/.f64 #s(literal 1 binary64) (tan.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 (/.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)) (/.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 #s(literal 1 binary64) (tan.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 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (pow.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) #s(literal -1/2 binary64)) (neg.f64 (/.f64 x (tan.f64 B)))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 B B))))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (neg.f64 (/.f64 x (tan.f64 B)))) |
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 B)) (/.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))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (neg.f64 (/.f64 x (*.f64 (sin.f64 B) (tan.f64 B)))))) (+.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)) (-.f64 (/.f64 (tan.f64 B) x) (sin.f64 B)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 B) (neg.f64 (tan.f64 B))) (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 B))) (*.f64 (sin.f64 B) (neg.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (sin.f64 B)) (/.f64 (tan.f64 B) x)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) (*.f64 (neg.f64 (sin.f64 B)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 (tan.f64 B))) (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 B))) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (sin.f64 B)) (tan.f64 B)) (-.f64 (neg.f64 (tan.f64 B)) (*.f64 (neg.f64 (sin.f64 B)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) (/.f64 (-.f64 (tan.f64 B) (*.f64 (sin.f64 B) x)) (sin.f64 B)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (neg.f64 (/.f64 x (tan.f64 B)))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))))) |
(/.f64 (-.f64 (tan.f64 B) (*.f64 (sin.f64 B) x)) (*.f64 (sin.f64 B) (tan.f64 B))) |
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 B #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) #s(literal -1 binary64)) |
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| 1× | egg-herbie |
| 23 152× | lower-fma.f64 |
| 23 152× | lower-fma.f32 |
| 6 984× | lower-+.f64 |
| 6 984× | lower-+.f32 |
| 4 936× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 299 | 3386 |
| 1 | 891 | 3356 |
| 2 | 2941 | 3281 |
| 0 | 8177 | 3051 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- 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 (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 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)))) |
(* x (+ 1/3 (* 1/45 (pow B 2)))) |
(* x (+ 1/3 (* 1/45 (pow B 2)))) |
(* x (+ 1/3 (* 1/45 (pow B 2)))) |
(* x (+ 1/3 (* 1/45 (pow B 2)))) |
(* x (+ 1/3 (* 1/45 (pow B 2)))) |
(* x (+ 1/3 (* 1/45 (pow B 2)))) |
(* x (+ 1/3 (* 1/45 (pow B 2)))) |
(* x (+ 1/3 (* 1/45 (pow B 2)))) |
(* x (+ 1/3 (* 1/45 (pow B 2)))) |
(* x (+ 1/3 (* 1/45 (pow B 2)))) |
(* x (+ 1/3 (* 1/45 (pow B 2)))) |
(* x (+ 1/3 (* 1/45 (pow B 2)))) |
(* 1/3 x) |
(+ (* 1/45 (* (pow B 2) x)) (* 1/3 x)) |
(+ (* 1/45 (* (pow B 2) x)) (* 1/3 x)) |
(+ (* 1/45 (* (pow B 2) x)) (* 1/3 x)) |
(* 1/45 (* (pow B 2) x)) |
(* (pow B 2) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2))))) |
(* (pow B 2) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2))))) |
(* (pow B 2) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2))))) |
(* 1/45 (* (pow B 2) x)) |
(* (pow B 2) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2))))) |
(* (pow B 2) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2))))) |
(* (pow B 2) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2))))) |
(/ (+ 1 (* -1 x)) B) |
(/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (* 1/3 x))))) B) |
(/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (* 1/45 x)))))))) B) |
(/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* 31/15120 (pow B 2)) (* 1/45 x))))))))) B) |
(* 1/45 (* (pow B 3) x)) |
(* (pow B 3) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2))))) |
(* (pow B 3) (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (/ 1 (* (pow B 3) (sin B)))))) |
(* (pow B 3) (+ (* -1 (/ x (pow B 4))) (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (/ 1 (* (pow B 3) (sin B))))))) |
(* 1/45 (* (pow B 3) x)) |
(* -1 (* (pow B 3) (+ (* -1/3 (/ x (pow B 2))) (* -1/45 x)))) |
(* -1 (* (pow B 3) (- (+ (* -1/3 (/ x (pow B 2))) (* -1/45 x)) (/ 1 (* (pow B 3) (sin B)))))) |
(* -1 (* (pow B 3) (+ (* -1 (/ (+ (* -1 (/ x B)) (/ 1 (sin B))) (pow B 3))) (+ (* -1/3 (/ x (pow B 2))) (* -1/45 x))))) |
(/ 1 (sin B)) |
(+ (* x (- (* B (+ 1/3 (* 1/45 (pow B 2)))) (/ 1 B))) (/ 1 (sin B))) |
(+ (* x (- (* B (+ 1/3 (* 1/45 (pow B 2)))) (/ 1 B))) (/ 1 (sin B))) |
(+ (* x (- (* B (+ 1/3 (* 1/45 (pow B 2)))) (/ 1 B))) (/ 1 (sin B))) |
(* x (- (* B (+ 1/3 (* 1/45 (pow B 2)))) (/ 1 B))) |
(* x (- (+ (* B (+ 1/3 (* 1/45 (pow B 2)))) (/ 1 (* x (sin B)))) (/ 1 B))) |
(* x (- (+ (* B (+ 1/3 (* 1/45 (pow B 2)))) (/ 1 (* x (sin B)))) (/ 1 B))) |
(* x (- (+ (* B (+ 1/3 (* 1/45 (pow B 2)))) (/ 1 (* x (sin B)))) (/ 1 B))) |
(* -1 (* x (+ (* -1 (* B (+ 1/3 (* 1/45 (pow B 2))))) (/ 1 B)))) |
(* -1 (* x (- (+ (* -1 (* B (+ 1/3 (* 1/45 (pow B 2))))) (/ 1 B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (+ (* -1 (* B (+ 1/3 (* 1/45 (pow B 2))))) (/ 1 B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (+ (* -1 (* B (+ 1/3 (* 1/45 (pow B 2))))) (/ 1 B)) (/ 1 (* x (sin B)))))) |
(* -1 (/ x B)) |
(/ (+ (* -1 x) (* 1/3 (* (pow B 2) x))) B) |
(/ (+ (* -1 x) (* (pow B 2) (+ (* 1/45 (* (pow B 2) x)) (* 1/3 x)))) B) |
(/ (+ (* -1 x) (* (pow B 2) (+ (* 1/45 (* (pow B 2) x)) (* 1/3 x)))) B) |
(* 1/45 (* (pow B 3) x)) |
(* (pow B 3) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2))))) |
(* (pow B 3) (+ (* -1 (/ x (pow B 4))) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2)))))) |
(* (pow B 3) (+ (* -1 (/ x (pow B 4))) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2)))))) |
(* 1/45 (* (pow B 3) x)) |
(* -1 (* (pow B 3) (+ (* -1/3 (/ x (pow B 2))) (* -1/45 x)))) |
(* -1 (* (pow B 3) (+ (* -1/3 (/ x (pow B 2))) (+ (* -1/45 x) (/ x (pow B 4)))))) |
(* -1 (* (pow B 3) (+ (* -1/3 (/ x (pow B 2))) (+ (* -1/45 x) (/ x (pow B 4)))))) |
(* x (- (* B (+ 1/3 (* 1/45 (pow B 2)))) (/ 1 B))) |
(* x (- (* B (+ 1/3 (* 1/45 (pow B 2)))) (/ 1 B))) |
(* x (- (* B (+ 1/3 (* 1/45 (pow B 2)))) (/ 1 B))) |
(* x (- (* B (+ 1/3 (* 1/45 (pow B 2)))) (/ 1 B))) |
(* x (- (* B (+ 1/3 (* 1/45 (pow B 2)))) (/ 1 B))) |
(* x (- (* B (+ 1/3 (* 1/45 (pow B 2)))) (/ 1 B))) |
(* x (- (* B (+ 1/3 (* 1/45 (pow B 2)))) (/ 1 B))) |
(* x (- (* B (+ 1/3 (* 1/45 (pow B 2)))) (/ 1 B))) |
(* -1 (* x (+ (* -1 (* B (+ 1/3 (* 1/45 (pow B 2))))) (/ 1 B)))) |
(* -1 (* x (+ (* -1 (* B (+ 1/3 (* 1/45 (pow B 2))))) (/ 1 B)))) |
(* -1 (* x (+ (* -1 (* B (+ 1/3 (* 1/45 (pow B 2))))) (/ 1 B)))) |
(* -1 (* x (+ (* -1 (* B (+ 1/3 (* 1/45 (pow B 2))))) (/ 1 B)))) |
(* x (+ 1/3 (* 1/45 (pow B 2)))) |
(* x (+ 1/3 (* 1/45 (pow B 2)))) |
(* x (+ 1/3 (* 1/45 (pow B 2)))) |
(* x (+ 1/3 (* 1/45 (pow B 2)))) |
(* x (+ 1/3 (* 1/45 (pow B 2)))) |
(* x (+ 1/3 (* 1/45 (pow B 2)))) |
(* x (+ 1/3 (* 1/45 (pow B 2)))) |
(* x (+ 1/3 (* 1/45 (pow B 2)))) |
(* x (+ 1/3 (* 1/45 (pow B 2)))) |
(* x (+ 1/3 (* 1/45 (pow B 2)))) |
(* x (+ 1/3 (* 1/45 (pow B 2)))) |
(* x (+ 1/3 (* 1/45 (pow B 2)))) |
(* 1/3 x) |
(+ (* 1/45 (* (pow B 2) x)) (* 1/3 x)) |
(+ (* 1/45 (* (pow B 2) x)) (* 1/3 x)) |
(+ (* 1/45 (* (pow B 2) x)) (* 1/3 x)) |
(* 1/45 (* (pow B 2) x)) |
(* (pow B 2) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2))))) |
(* (pow B 2) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2))))) |
(* (pow B 2) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2))))) |
(* 1/45 (* (pow B 2) x)) |
(* (pow B 2) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2))))) |
(* (pow B 2) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2))))) |
(* (pow B 2) (+ (* 1/45 x) (* 1/3 (/ x (pow B 2))))) |
(/ (* 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)) |
(sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) |
(+ (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) (* -1 (/ (* x (cos B)) (sin B)))) |
(+ (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) (* -1 (/ (* x (cos B)) (sin B)))) |
(+ (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) (* -1 (/ (* x (cos B)) (sin B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* x (- (* (/ 1 x) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B))))))) (/ (cos B) (sin B)))) |
(* x (- (* (/ 1 x) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B))))))) (/ (cos B) (sin B)))) |
(* x (- (* (/ 1 x) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B))))))) (/ (cos B) (sin B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))))) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))))) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))))) (/ (cos B) (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) |
(- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) (/ (* x (cos B)) (sin B))) |
(- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) (/ (* x (cos B)) (sin B))) |
(- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) (/ (* x (cos B)) (sin B))) |
(- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) (/ (* x (cos B)) (sin B))) |
(- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))) (/ (* x (cos B)) (sin B))) |
(- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))) (/ (* x (cos B)) (sin B))) |
(- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))) (/ (* x (cos B)) (sin B))) |
(- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))) (/ (* x (cos B)) (sin B))) |
(pow B 2) |
(* (pow B 2) (+ 1 (* -1/3 (pow B 2)))) |
(* (pow B 2) (+ 1 (* (pow B 2) (- (* 2/45 (pow B 2)) 1/3)))) |
(* (pow B 2) (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 2/45 (* -1/315 (pow B 2)))) 1/3)))) |
(- 1/2 (* 1/2 (cos (* 2 B)))) |
(- 1/2 (* 1/2 (cos (* 2 B)))) |
(- 1/2 (* 1/2 (cos (* 2 B)))) |
(- 1/2 (* 1/2 (cos (* 2 B)))) |
(- 1/2 (* 1/2 (cos (neg (* -2 B))))) |
(- 1/2 (* 1/2 (cos (neg (* -2 B))))) |
(- 1/2 (* 1/2 (cos (neg (* -2 B))))) |
(- 1/2 (* 1/2 (cos (neg (* -2 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))) |
1/3 |
(+ 1/3 (* 1/45 (pow B 2))) |
(+ 1/3 (* 1/45 (pow B 2))) |
(+ 1/3 (* 1/45 (pow B 2))) |
(* 1/45 (pow B 2)) |
(* (pow B 2) (+ 1/45 (* 1/3 (/ 1 (pow B 2))))) |
(* (pow B 2) (+ 1/45 (* 1/3 (/ 1 (pow B 2))))) |
(* (pow B 2) (+ 1/45 (* 1/3 (/ 1 (pow B 2))))) |
(* 1/45 (pow B 2)) |
(* (pow B 2) (+ 1/45 (* 1/3 (/ 1 (pow B 2))))) |
(* (pow B 2) (+ 1/45 (* 1/3 (/ 1 (pow B 2))))) |
(* (pow B 2) (+ 1/45 (* 1/3 (/ 1 (pow B 2))))) |
(/ 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) |
(sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) |
(sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) |
(sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) |
(sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) |
(sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))) |
(sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))) |
(sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))) |
(sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 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)) |
| Outputs |
|---|
(/ (- 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 B (*.f64 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 x #s(literal 1/3 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 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 x #s(literal 1/3 binary64) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) B) B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(fma.f64 (cos.f64 B) (neg.f64 (/.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) (neg.f64 (/.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) (neg.f64 (/.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) (neg.f64 (/.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) (neg.f64 (/.f64 x (sin.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
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(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))) (/ (* x (cos B)) (sin B))) |
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))) (/ (* x (cos B)) (sin B))) |
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(pow B 2) |
(*.f64 B B) |
(* (pow B 2) (+ 1 (* -1/3 (pow B 2)))) |
(*.f64 B (*.f64 B (fma.f64 B (*.f64 B #s(literal -1/3 binary64)) #s(literal 1 binary64)))) |
(* (pow B 2) (+ 1 (* (pow B 2) (- (* 2/45 (pow B 2)) 1/3)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) B) B) |
(* (pow B 2) (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 2/45 (* -1/315 (pow B 2)))) 1/3)))) |
(*.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))) |
(- 1/2 (* 1/2 (cos (* 2 B)))) |
(fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(- 1/2 (* 1/2 (cos (* 2 B)))) |
(fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(- 1/2 (* 1/2 (cos (* 2 B)))) |
(fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(- 1/2 (* 1/2 (cos (* 2 B)))) |
(fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(- 1/2 (* 1/2 (cos (neg (* -2 B))))) |
(fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(- 1/2 (* 1/2 (cos (neg (* -2 B))))) |
(fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(- 1/2 (* 1/2 (cos (neg (* -2 B))))) |
(fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(- 1/2 (* 1/2 (cos (neg (* -2 B))))) |
(fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(* -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)) |
(/.f64 x (neg.f64 B)) |
(/ (- (* 1/3 (* (pow B 2) x)) x) B) |
(/.f64 (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64))) B) |
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B) |
(/.f64 (*.f64 x (fma.f64 (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) (*.f64 B B) #s(literal -1 binary64))) 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) |
(/.f64 (fma.f64 (*.f64 B 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 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))) |
1/3 |
#s(literal 1/3 binary64) |
(+ 1/3 (* 1/45 (pow B 2))) |
(fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) |
(+ 1/3 (* 1/45 (pow B 2))) |
(fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) |
(+ 1/3 (* 1/45 (pow B 2))) |
(fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) |
(* 1/45 (pow B 2)) |
(*.f64 (*.f64 B B) #s(literal 1/45 binary64)) |
(* (pow B 2) (+ 1/45 (* 1/3 (/ 1 (pow B 2))))) |
(fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) |
(* (pow B 2) (+ 1/45 (* 1/3 (/ 1 (pow B 2))))) |
(fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) |
(* (pow B 2) (+ 1/45 (* 1/3 (/ 1 (pow B 2))))) |
(fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) |
(* 1/45 (pow B 2)) |
(*.f64 (*.f64 B B) #s(literal 1/45 binary64)) |
(* (pow B 2) (+ 1/45 (* 1/3 (/ 1 (pow B 2))))) |
(fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) |
(* (pow B 2) (+ 1/45 (* 1/3 (/ 1 (pow B 2))))) |
(fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) |
(* (pow B 2) (+ 1/45 (* 1/3 (/ 1 (pow B 2))))) |
(fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 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 B (*.f64 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 B (*.f64 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) |
(sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(/ 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 (*.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)) |
Compiled 31 196 to 2 367 computations (92.4% saved)
39 alts after pruning (36 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 170 | 27 | 1 197 |
| Fresh | 5 | 9 | 14 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 177 | 39 | 1 216 |
| Status | Accuracy | Program |
|---|---|---|
| 99.8% | (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| 58.0% | (fma.f64 x (fma.f64 B (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| 19.2% | (pow.f64 (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) | |
| 41.0% | (pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 55.1% | (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) B) B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) | |
| 83.4% | (/.f64 (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) (*.f64 (tan.f64 B) (sin.f64 B))) | |
| 38.1% | (/.f64 (fma.f64 x (sin.f64 B) (tan.f64 B)) (*.f64 (tan.f64 B) (sin.f64 B))) | |
| 30.0% | (/.f64 (fma.f64 B (*.f64 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) | |
| 30.1% | (/.f64 (fma.f64 B (*.f64 B (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) | |
| 30.3% | (/.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) B) | |
| ▶ | 39.4% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) B) |
| 50.8% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B) | |
| 55.2% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) B) | |
| ▶ | 55.2% | (/.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) |
| 18.3% | (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (/.f64 (*.f64 x x) (*.f64 B B))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B))) | |
| 38.6% | (/.f64 (-.f64 B (*.f64 B x)) (*.f64 B B)) | |
| 50.5% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 B (+.f64 #s(literal 1 binary64) x))) | |
| ✓ | 55.2% | (/.f64 (-.f64 #s(literal 1 binary64) x) B) |
| 50.7% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) B) | |
| 47.7% | (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) | |
| 26.9% | (/.f64 (neg.f64 x) B) | |
| 30.2% | (/.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)) | |
| 30.2% | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B)) | |
| 30.2% | (/.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B)) | |
| ▶ | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))))) |
| ✓ | 53.0% | (/.f64 #s(literal 1 binary64) (sin.f64 B)) |
| ▶ | 30.1% | (/.f64 #s(literal 1 binary64) B) |
| ✓ | 99.8% | (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| 76.0% | (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B))) | |
| ▶ | 32.9% | (+.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 B (*.f64 x (*.f64 B B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 99.7% | (+.f64 (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| 57.4% | (+.f64 (neg.f64 (*.f64 x (/.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))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| 52.4% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)))) | |
| 75.9% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) B)) | |
| 55.2% | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x)) | |
| 26.8% | (*.f64 x (fma.f64 B (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) B))) | |
| 2.1% | (*.f64 B (fma.f64 #s(literal 1/3 binary64) (/.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 B B) #s(literal 1/45 binary64))))) | |
| 2.3% | (*.f64 #s(literal 1/45 binary64) (*.f64 B (*.f64 x (*.f64 B B)))) | |
| 19.2% | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
Compiled 1 106 to 706 computations (36.2% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 B B)) |
| ✓ | cost-diff | 0 | (*.f64 B (*.f64 x (*.f64 B B))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/45 binary64) (*.f64 B (*.f64 x (*.f64 B B)))) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 B (*.f64 x (*.f64 B B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) B) |
| ✓ | cost-diff | 0 | (*.f64 B B) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 B B) (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 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) |
| ✓ | cost-diff | 320 | (/.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) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) 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))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))))) |
| 34 440× | lower-fma.f32 |
| 34 434× | lower-fma.f64 |
| 3 772× | lower-*.f32 |
| 3 760× | lower-*.f64 |
| 3 344× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 203 |
| 0 | 57 | 191 |
| 1 | 111 | 191 |
| 2 | 242 | 185 |
| 3 | 526 | 185 |
| 4 | 1076 | 185 |
| 5 | 2063 | 185 |
| 6 | 3464 | 184 |
| 7 | 5110 | 184 |
| 8 | 6316 | 184 |
| 9 | 6878 | 184 |
| 10 | 7012 | 184 |
| 11 | 7036 | 184 |
| 12 | 7051 | 184 |
| 13 | 7306 | 184 |
| 14 | 7693 | 184 |
| 15 | 7896 | 184 |
| 16 | 7906 | 184 |
| 17 | 7910 | 184 |
| 18 | 7914 | 184 |
| 19 | 7914 | 184 |
| 20 | 7914 | 184 |
| 0 | 9016 | 181 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (-.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 #s(literal 1 binary64) (sin.f64 B)) |
(sin.f64 B) |
B |
(/.f64 x (tan.f64 B)) |
x |
(tan.f64 B) |
(/.f64 #s(literal 1 binary64) B) |
#s(literal 1 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 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 B B) |
B |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
x |
#s(literal 1/3 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) B) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
#s(literal 1 binary64) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
(fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
B |
(+.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 B (*.f64 x (*.f64 B B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(*.f64 #s(literal 1/45 binary64) (*.f64 B (*.f64 x (*.f64 B B)))) |
#s(literal 1/45 binary64) |
(*.f64 B (*.f64 x (*.f64 B B))) |
B |
(*.f64 x (*.f64 B B)) |
x |
(*.f64 B B) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
#s(literal 1 binary64) |
(sin.f64 B) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.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))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (-.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 #s(literal 1 binary64) (sin.f64 B)) |
(sin.f64 B) |
B |
(/.f64 x (tan.f64 B)) |
x |
(tan.f64 B) |
(/.f64 #s(literal 1 binary64) B) |
#s(literal 1 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) |
(fma.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 (-.f64 #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)) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 B B) |
B |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
x |
#s(literal 1/3 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) B) |
(/.f64 (fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64)) (fma.f64 B (fma.f64 x x x) B)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 x x x))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(fma.f64 (*.f64 x x) (neg.f64 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
(fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(+.f64 x (fma.f64 x x #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) x) |
B |
(+.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 B (*.f64 x (*.f64 B B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 B (*.f64 #s(literal 1/45 binary64) (*.f64 x (*.f64 B B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(*.f64 #s(literal 1/45 binary64) (*.f64 B (*.f64 x (*.f64 B B)))) |
(*.f64 B (*.f64 #s(literal 1/45 binary64) (*.f64 x (*.f64 B B)))) |
#s(literal 1/45 binary64) |
(*.f64 B (*.f64 x (*.f64 B B))) |
B |
(*.f64 x (*.f64 B B)) |
x |
(*.f64 B B) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
#s(literal 1 binary64) |
(sin.f64 B) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 B (*.f64 x (*.f64 B B))) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (sin.f64 B)) |
| ✓ | accuracy | 99.8% | (*.f64 #s(literal 1/45 binary64) (*.f64 B (*.f64 x (*.f64 B B)))) |
| ✓ | accuracy | 84.5% | (*.f64 x (*.f64 B B)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) B) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 70.5% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) |
| ✓ | accuracy | 99.8% | (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.8% | (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 80.6% | (/.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) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) B) |
| ✓ | accuracy | 99.8% | (/.f64 x (tan.f64 B)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (sin.f64 B)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))))) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))) |
| 90.0ms | 254× | 0 | valid |
| 3.0ms | 2× | 5 | exit |
Compiled 205 to 35 computations (82.9% saved)
ival-mult: 19.0ms (25.4% of total)ival-add: 18.0ms (24% of total)ival-div: 14.0ms (18.7% of total)const: 9.0ms (12% of total)ival-sin: 6.0ms (8% of total)ival-tan: 5.0ms (6.7% of total)ival-sub: 3.0ms (4% 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))))> |
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))))> |
#<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 (/.f64 #s(literal 1 binary64) B)> |
#<alt (/.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)> |
#<alt (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)> |
#<alt (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))> |
#<alt (*.f64 B B)> |
#<alt (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) B)> |
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))> |
#<alt (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))> |
#<alt (*.f64 x (*.f64 x x))> |
#<alt (+.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 B (*.f64 x (*.f64 B B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))> |
#<alt (*.f64 #s(literal 1/45 binary64) (*.f64 B (*.f64 x (*.f64 B B))))> |
#<alt (*.f64 B (*.f64 x (*.f64 B B)))> |
#<alt (*.f64 x (*.f64 B B))> |
#<alt (/.f64 x (tan.f64 B))> |
#<alt (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))> |
#<alt (*.f64 x x)> |
| Outputs |
|---|
#<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 (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 (/ B (- 1 x))> |
#<alt (* B (+ (* -1 (* (pow B 2) (+ (* 1/6 (/ 1 (pow (- 1 x) 2))) (* 1/3 (/ x (pow (- 1 x) 2)))))) (/ 1 (- 1 x))))> |
#<alt (* B (+ (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1 (/ (* (+ 1/6 (* 1/3 x)) (+ (* 1/3 (/ x (pow (- 1 x) 2))) (* 1/6 (/ 1 (pow (- 1 x) 2))))) (- 1 x))) (+ (* -1/9 (/ x (pow (- 1 x) 2))) (+ (* 7/360 (/ 1 (pow (- 1 x) 2))) (* 2/15 (/ x (pow (- 1 x) 2)))))))) (+ (* 1/6 (/ 1 (pow (- 1 x) 2))) (* 1/3 (/ x (pow (- 1 x) 2)))))) (/ 1 (- 1 x))))> |
#<alt (* B (+ (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1 (/ (* (+ 7/360 (+ (* -1/9 x) (* 2/15 x))) (+ (* 1/3 (/ x (pow (- 1 x) 2))) (* 1/6 (/ 1 (pow (- 1 x) 2))))) (- 1 x))) (+ (* -1 (/ (* (+ 1/6 (* 1/3 x)) (+ (* -1 (/ (* (+ 1/6 (* 1/3 x)) (+ (* 1/3 (/ x (pow (- 1 x) 2))) (* 1/6 (/ 1 (pow (- 1 x) 2))))) (- 1 x))) (+ (* -1/9 (/ x (pow (- 1 x) 2))) (+ (* 7/360 (/ 1 (pow (- 1 x) 2))) (* 2/15 (/ x (pow (- 1 x) 2))))))) (- 1 x))) (+ (* -1/3 (/ (+ (* -1/9 x) (* 2/15 x)) (pow (- 1 x) 2))) (+ (* -2/45 (/ x (pow (- 1 x) 2))) (+ (* 31/15120 (/ 1 (pow (- 1 x) 2))) (* 17/315 (/ x (pow (- 1 x) 2)))))))))) (+ (* -1 (/ (* (+ 1/6 (* 1/3 x)) (+ (* 1/3 (/ x (pow (- 1 x) 2))) (* 1/6 (/ 1 (pow (- 1 x) 2))))) (- 1 x))) (+ (* -1/9 (/ x (pow (- 1 x) 2))) (+ (* 7/360 (/ 1 (pow (- 1 x) 2))) (* 2/15 (/ x (pow (- 1 x) 2)))))))) (+ (* 1/6 (/ 1 (pow (- 1 x) 2))) (* 1/3 (/ x (pow (- 1 x) 2)))))) (/ 1 (- 1 x))))> |
#<alt (/ 1 (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))> |
#<alt (/ 1 (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))> |
#<alt (/ 1 (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))> |
#<alt (/ 1 (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))> |
#<alt (/ 1 (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))> |
#<alt (/ 1 (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))> |
#<alt (/ 1 (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))> |
#<alt (/ 1 (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))))> |
#<alt (sin B)> |
#<alt (+ (sin B) (* x (* (cos B) (sin B))))> |
#<alt (+ (sin B) (* x (- (* x (* (pow (cos B) 2) (sin B))) (* -1 (* (cos B) (sin B))))))> |
#<alt (+ (sin B) (* x (- (* x (- (* x (* (pow (cos B) 3) (sin B))) (* -1 (* (pow (cos B) 2) (sin B))))) (* -1 (* (cos B) (sin B))))))> |
#<alt (* -1 (/ (sin B) (* x (cos B))))> |
#<alt (/ (+ (* -1 (/ (sin B) (cos B))) (* -1 (/ (sin B) (* x (pow (cos B) 2))))) x)> |
#<alt (/ (- (+ (* -1 (/ (sin B) (cos B))) (* -1 (/ (sin B) (* (pow x 2) (pow (cos B) 3))))) (/ (sin B) (* x (pow (cos B) 2)))) x)> |
#<alt (/ (- (+ (* -1 (/ (sin B) (cos B))) (* -1 (/ (sin B) (* (pow x 3) (pow (cos B) 4))))) (+ (/ (sin B) (* x (pow (cos B) 2))) (/ (sin B) (* (pow x 2) (pow (cos B) 3))))) x)> |
#<alt (* -1 (/ (sin B) (* x (cos B))))> |
#<alt (* -1 (/ (+ (/ (sin B) (cos B)) (/ (sin B) (* x (pow (cos B) 2)))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (sin B) (* x (pow (cos B) 3)))) (/ (sin B) (pow (cos B) 2))) x)) (/ (sin B) (cos B))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (sin B) (* x (pow (cos B) 4))) (* -1 (/ (sin B) (pow (cos B) 3)))) x)) (/ (sin B) (pow (cos B) 2))) x)) (/ (sin B) (cos B))) x))> |
#<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 (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 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 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 x) B)> |
#<alt (/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)> |
#<alt (/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)> |
#<alt (/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)> |
#<alt (* B (+ 1/6 (* 1/3 x)))> |
#<alt (* B (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2))))> |
#<alt (* B (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2))))> |
#<alt (* B (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2))))> |
#<alt (* B (+ 1/6 (* 1/3 x)))> |
#<alt (* -1 (* B (+ (* -1 (+ 1/6 (* 1/3 x))) (* -1 (/ (- 1 x) (pow B 2))))))> |
#<alt (* -1 (* B (+ (* -1 (+ 1/6 (* 1/3 x))) (* -1 (/ (- 1 x) (pow B 2))))))> |
#<alt (* -1 (* B (+ (* -1 (+ 1/6 (* 1/3 x))) (* -1 (/ (- 1 x) (pow B 2))))))> |
#<alt (/ (+ 1 (* 1/6 (pow B 2))) B)> |
#<alt (+ (* 1/6 B) (+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B)))> |
#<alt (+ (* 1/6 B) (+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B)))> |
#<alt (+ (* 1/6 B) (+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B)))> |
#<alt (/ (* x (- (* 1/3 (pow B 2)) 1)) B)> |
#<alt (* x (- (+ (* 1/6 (/ B x)) (+ (* 1/3 B) (/ 1 (* B x)))) (/ 1 B)))> |
#<alt (* x (- (+ (* 1/6 (/ B x)) (+ (* 1/3 B) (/ 1 (* B x)))) (/ 1 B)))> |
#<alt (* x (- (+ (* 1/6 (/ B x)) (+ (* 1/3 B) (/ 1 (* B x)))) (/ 1 B)))> |
#<alt (* -1 (/ (* x (+ 1 (* -1/3 (pow B 2)))) B))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/6 B) (/ 1 B)) x)) (+ (* -1/3 B) (/ 1 B)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/6 B) (/ 1 B)) x)) (+ (* -1/3 B) (/ 1 B)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/6 B) (/ 1 B)) x)) (+ (* -1/3 B) (/ 1 B)))))> |
#<alt (- 1 x)> |
#<alt (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x)> |
#<alt (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x)> |
#<alt (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x)> |
#<alt (* (pow B 2) (+ 1/6 (* 1/3 x)))> |
#<alt (* (pow B 2) (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2))))> |
#<alt (* (pow B 2) (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2))))> |
#<alt (* (pow B 2) (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2))))> |
#<alt (* (pow B 2) (+ 1/6 (* 1/3 x)))> |
#<alt (* (pow B 2) (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2))))> |
#<alt (* (pow B 2) (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2))))> |
#<alt (* (pow B 2) (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2))))> |
#<alt (+ 1 (* 1/6 (pow B 2)))> |
#<alt (+ 1 (+ (* 1/6 (pow B 2)) (* x (- (* 1/3 (pow B 2)) 1))))> |
#<alt (+ 1 (+ (* 1/6 (pow B 2)) (* x (- (* 1/3 (pow B 2)) 1))))> |
#<alt (+ 1 (+ (* 1/6 (pow B 2)) (* x (- (* 1/3 (pow B 2)) 1))))> |
#<alt (* x (- (* 1/3 (pow B 2)) 1))> |
#<alt (* x (- (+ (* 1/6 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x))) 1))> |
#<alt (* x (- (+ (* 1/6 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x))) 1))> |
#<alt (* x (- (+ (* 1/6 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x))) 1))> |
#<alt (* -1 (* x (+ 1 (* -1/3 (pow B 2)))))> |
#<alt (* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2))))))> |
#<alt (* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2))))))> |
#<alt (* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2))))))> |
#<alt 1> |
#<alt (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x))))> |
#<alt (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x))))> |
#<alt (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x))))> |
#<alt (* (pow B 2) (+ 1/6 (* 1/3 x)))> |
#<alt (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))))> |
#<alt (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))))> |
#<alt (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))))> |
#<alt (* (pow B 2) (+ 1/6 (* 1/3 x)))> |
#<alt (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))))> |
#<alt (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))))> |
#<alt (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))))> |
#<alt (+ 1 (* 1/6 (pow B 2)))> |
#<alt (+ 1 (+ (* 1/6 (pow B 2)) (* 1/3 (* (pow B 2) x))))> |
#<alt (+ 1 (+ (* 1/6 (pow B 2)) (* 1/3 (* (pow B 2) x))))> |
#<alt (+ 1 (+ (* 1/6 (pow B 2)) (* 1/3 (* (pow B 2) x))))> |
#<alt (* 1/3 (* (pow B 2) x))> |
#<alt (* x (+ (* 1/6 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x))))> |
#<alt (* x (+ (* 1/6 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x))))> |
#<alt (* x (+ (* 1/6 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x))))> |
#<alt (* 1/3 (* (pow B 2) x))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) x)) (* -1/3 (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 (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<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 (pow x 3)) (* B (+ 1 (* x (+ 1 x)))))> |
#<alt (/ (- 1 (pow x 3)) (* B (+ 1 (* x (+ 1 x)))))> |
#<alt (/ (- 1 (pow x 3)) (* B (+ 1 (* x (+ 1 x)))))> |
#<alt (/ (- 1 (pow x 3)) (* B (+ 1 (* x (+ 1 x)))))> |
#<alt (/ (- 1 (pow x 3)) (* B (+ 1 (* x (+ 1 x)))))> |
#<alt (/ (- 1 (pow x 3)) (* B (+ 1 (* x (+ 1 x)))))> |
#<alt (/ (- 1 (pow x 3)) (* B (+ 1 (* x (+ 1 x)))))> |
#<alt (/ (- 1 (pow x 3)) (* B (+ 1 (* x (+ 1 x)))))> |
#<alt (/ (- 1 (pow x 3)) (* B (+ 1 (* x (+ 1 x)))))> |
#<alt (/ (- 1 (pow x 3)) (* B (+ 1 (* x (+ 1 x)))))> |
#<alt (/ (- 1 (pow x 3)) (* B (+ 1 (* x (+ 1 x)))))> |
#<alt (/ (- 1 (pow x 3)) (* B (+ 1 (* x (+ 1 x)))))> |
#<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> |
#<alt (+ 1 (* -1 (pow x 3)))> |
#<alt (+ 1 (* -1 (pow x 3)))> |
#<alt (+ 1 (* -1 (pow x 3)))> |
#<alt (* -1 (pow x 3))> |
#<alt (* (pow x 3) (- (/ 1 (pow x 3)) 1))> |
#<alt (* (pow x 3) (- (/ 1 (pow x 3)) 1))> |
#<alt (* (pow x 3) (- (/ 1 (pow x 3)) 1))> |
#<alt (* -1 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3)))))> |
#<alt (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3)))))> |
#<alt (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3)))))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (/ 1 B)> |
#<alt (/ (+ 1 (* 1/6 (pow B 2))) B)> |
#<alt (/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 1/45 x)))))) B)> |
#<alt (/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (+ (* 31/15120 (pow B 2)) (* 1/45 x))))))) B)> |
#<alt (* 1/45 (* (pow B 3) x))> |
#<alt (* (pow B 3) (+ (* 1/45 x) (/ 1 (* (pow B 3) (sin B)))))> |
#<alt (* (pow B 3) (+ (* 1/45 x) (/ 1 (* (pow B 3) (sin B)))))> |
#<alt (* (pow B 3) (+ (* 1/45 x) (/ 1 (* (pow B 3) (sin B)))))> |
#<alt (* 1/45 (* (pow B 3) x))> |
#<alt (* -1 (* (pow B 3) (- (* -1/45 x) (/ 1 (* (pow B 3) (sin B))))))> |
#<alt (* -1 (* (pow B 3) (- (* -1/45 x) (/ 1 (* (pow B 3) (sin B))))))> |
#<alt (* -1 (* (pow B 3) (- (* -1/45 x) (/ 1 (* (pow B 3) (sin B))))))> |
#<alt (/ 1 (sin B))> |
#<alt (+ (* 1/45 (* (pow B 3) x)) (/ 1 (sin B)))> |
#<alt (+ (* 1/45 (* (pow B 3) x)) (/ 1 (sin B)))> |
#<alt (+ (* 1/45 (* (pow B 3) x)) (/ 1 (sin B)))> |
#<alt (* 1/45 (* (pow B 3) x))> |
#<alt (* x (+ (* 1/45 (pow B 3)) (/ 1 (* x (sin B)))))> |
#<alt (* x (+ (* 1/45 (pow B 3)) (/ 1 (* x (sin B)))))> |
#<alt (* x (+ (* 1/45 (pow B 3)) (/ 1 (* x (sin B)))))> |
#<alt (* 1/45 (* (pow B 3) x))> |
#<alt (* -1 (* x (- (* -1/45 (pow B 3)) (/ 1 (* x (sin B))))))> |
#<alt (* -1 (* x (- (* -1/45 (pow B 3)) (/ 1 (* x (sin B))))))> |
#<alt (* -1 (* x (- (* -1/45 (pow B 3)) (/ 1 (* x (sin B))))))> |
#<alt (* 1/45 (* (pow B 3) x))> |
#<alt (* 1/45 (* (pow B 3) x))> |
#<alt (* 1/45 (* (pow B 3) x))> |
#<alt (* 1/45 (* (pow B 3) x))> |
#<alt (* 1/45 (* (pow B 3) x))> |
#<alt (* 1/45 (* (pow B 3) x))> |
#<alt (* 1/45 (* (pow B 3) x))> |
#<alt (* 1/45 (* (pow B 3) x))> |
#<alt (* 1/45 (* (pow B 3) x))> |
#<alt (* 1/45 (* (pow B 3) x))> |
#<alt (* 1/45 (* (pow B 3) x))> |
#<alt (* 1/45 (* (pow B 3) x))> |
#<alt (* 1/45 (* (pow B 3) x))> |
#<alt (* 1/45 (* (pow B 3) x))> |
#<alt (* 1/45 (* (pow B 3) x))> |
#<alt (* 1/45 (* (pow B 3) x))> |
#<alt (* 1/45 (* (pow B 3) x))> |
#<alt (* 1/45 (* (pow B 3) x))> |
#<alt (* 1/45 (* (pow B 3) x))> |
#<alt (* 1/45 (* (pow B 3) x))> |
#<alt (* 1/45 (* (pow B 3) x))> |
#<alt (* 1/45 (* (pow B 3) x))> |
#<alt (* 1/45 (* (pow B 3) x))> |
#<alt (* 1/45 (* (pow B 3) x))> |
#<alt (* (pow B 3) x)> |
#<alt (* (pow B 3) x)> |
#<alt (* (pow B 3) x)> |
#<alt (* (pow B 3) x)> |
#<alt (* (pow B 3) x)> |
#<alt (* (pow B 3) x)> |
#<alt (* (pow B 3) x)> |
#<alt (* (pow B 3) x)> |
#<alt (* (pow B 3) x)> |
#<alt (* (pow B 3) x)> |
#<alt (* (pow B 3) x)> |
#<alt (* (pow B 3) x)> |
#<alt (* (pow B 3) x)> |
#<alt (* (pow B 3) x)> |
#<alt (* (pow B 3) x)> |
#<alt (* (pow B 3) x)> |
#<alt (* (pow B 3) x)> |
#<alt (* (pow B 3) x)> |
#<alt (* (pow B 3) x)> |
#<alt (* (pow B 3) x)> |
#<alt (* (pow B 3) x)> |
#<alt (* (pow B 3) x)> |
#<alt (* (pow B 3) x)> |
#<alt (* (pow B 3) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<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 1/6> |
#<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 x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
96 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | B | @ | inf | (/ (/ (- 1 (* x (* x x))) (+ (* x (+ 1 x)) 1)) B) |
| 4.0ms | B | @ | 0 | (/ (/ (- 1 (* x (* x x))) (+ (* x (+ 1 x)) 1)) B) |
| 1.0ms | B | @ | 0 | (/ 1 (- (/ 1 (sin B)) (/ x (tan B)))) |
| 1.0ms | B | @ | inf | (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) |
| 1.0ms | B | @ | -inf | (+ (* 1/45 (* B (* x (* B B)))) (/ 1 (sin B))) |
| 1× | batch-egg-rewrite |
| 5 542× | lower-*.f32 |
| 5 530× | lower-*.f64 |
| 3 910× | lower-/.f32 |
| 3 894× | lower-/.f64 |
| 3 562× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 164 |
| 0 | 57 | 152 |
| 1 | 252 | 134 |
| 2 | 2106 | 128 |
| 0 | 8362 | 127 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))))) |
(/.f64 #s(literal 1 binary64) (-.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 #s(literal 1 binary64) (sin.f64 B)) |
(/.f64 #s(literal 1 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 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 B B) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) B) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
(+.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 B (*.f64 x (*.f64 B B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(*.f64 #s(literal 1/45 binary64) (*.f64 B (*.f64 x (*.f64 B B)))) |
(*.f64 B (*.f64 x (*.f64 B B))) |
(*.f64 x (*.f64 B B)) |
(/.f64 x (tan.f64 B)) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
(*.f64 x x) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (tan.f64 B)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 1 binary64))) |
(+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(exp.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))) #s(literal 1 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 (/.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 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (+.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 1 binary64)) (/.f64 (/.f64 x (tan.f64 B)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (tan.f64 B)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 1 binary64))) |
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(*.f64 x (*.f64 B (*.f64 B B))) |
(*.f64 (*.f64 B B) (*.f64 B x)) |
(*.f64 (*.f64 B (*.f64 B x)) B) |
(*.f64 (*.f64 B x) (*.f64 B B)) |
(*.f64 (*.f64 B (*.f64 B B)) x) |
(*.f64 B (*.f64 B x)) |
(*.f64 x (*.f64 B B)) |
(*.f64 (*.f64 B B) x) |
(*.f64 (*.f64 B x) B) |
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 B) x)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (neg.f64 x) (tan.f64 B))) |
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (tan.f64 B) x) #s(literal 1 binary64))) |
(/.f64 x (tan.f64 B)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (tan.f64 B) x))) |
(/.f64 (neg.f64 x) (neg.f64 (tan.f64 B))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (tan.f64 B)))) |
(pow.f64 (/.f64 (tan.f64 B) x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (tan.f64 B) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x (tan.f64 B))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 B)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)) |
(+.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)))) |
(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 (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 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)))) |
(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)))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
| 1× | egg-herbie |
| 17 122× | lower-fma.f64 |
| 17 122× | lower-fma.f32 |
| 5 648× | lower-+.f64 |
| 5 648× | lower-+.f32 |
| 4 974× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 361 | 4000 |
| 1 | 1134 | 3908 |
| 2 | 3902 | 3743 |
| 0 | 8111 | 3518 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- 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 (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)))))) |
(/ B (- 1 x)) |
(* B (+ (* -1 (* (pow B 2) (+ (* 1/6 (/ 1 (pow (- 1 x) 2))) (* 1/3 (/ x (pow (- 1 x) 2)))))) (/ 1 (- 1 x)))) |
(* B (+ (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1 (/ (* (+ 1/6 (* 1/3 x)) (+ (* 1/3 (/ x (pow (- 1 x) 2))) (* 1/6 (/ 1 (pow (- 1 x) 2))))) (- 1 x))) (+ (* -1/9 (/ x (pow (- 1 x) 2))) (+ (* 7/360 (/ 1 (pow (- 1 x) 2))) (* 2/15 (/ x (pow (- 1 x) 2)))))))) (+ (* 1/6 (/ 1 (pow (- 1 x) 2))) (* 1/3 (/ x (pow (- 1 x) 2)))))) (/ 1 (- 1 x)))) |
(* B (+ (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1 (/ (* (+ 7/360 (+ (* -1/9 x) (* 2/15 x))) (+ (* 1/3 (/ x (pow (- 1 x) 2))) (* 1/6 (/ 1 (pow (- 1 x) 2))))) (- 1 x))) (+ (* -1 (/ (* (+ 1/6 (* 1/3 x)) (+ (* -1 (/ (* (+ 1/6 (* 1/3 x)) (+ (* 1/3 (/ x (pow (- 1 x) 2))) (* 1/6 (/ 1 (pow (- 1 x) 2))))) (- 1 x))) (+ (* -1/9 (/ x (pow (- 1 x) 2))) (+ (* 7/360 (/ 1 (pow (- 1 x) 2))) (* 2/15 (/ x (pow (- 1 x) 2))))))) (- 1 x))) (+ (* -1/3 (/ (+ (* -1/9 x) (* 2/15 x)) (pow (- 1 x) 2))) (+ (* -2/45 (/ x (pow (- 1 x) 2))) (+ (* 31/15120 (/ 1 (pow (- 1 x) 2))) (* 17/315 (/ x (pow (- 1 x) 2)))))))))) (+ (* -1 (/ (* (+ 1/6 (* 1/3 x)) (+ (* 1/3 (/ x (pow (- 1 x) 2))) (* 1/6 (/ 1 (pow (- 1 x) 2))))) (- 1 x))) (+ (* -1/9 (/ x (pow (- 1 x) 2))) (+ (* 7/360 (/ 1 (pow (- 1 x) 2))) (* 2/15 (/ x (pow (- 1 x) 2)))))))) (+ (* 1/6 (/ 1 (pow (- 1 x) 2))) (* 1/3 (/ x (pow (- 1 x) 2)))))) (/ 1 (- 1 x)))) |
(/ 1 (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(/ 1 (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(/ 1 (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(/ 1 (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(/ 1 (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(/ 1 (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(/ 1 (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(/ 1 (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(sin B) |
(+ (sin B) (* x (* (cos B) (sin B)))) |
(+ (sin B) (* x (- (* x (* (pow (cos B) 2) (sin B))) (* -1 (* (cos B) (sin B)))))) |
(+ (sin B) (* x (- (* x (- (* x (* (pow (cos B) 3) (sin B))) (* -1 (* (pow (cos B) 2) (sin B))))) (* -1 (* (cos B) (sin B)))))) |
(* -1 (/ (sin B) (* x (cos B)))) |
(/ (+ (* -1 (/ (sin B) (cos B))) (* -1 (/ (sin B) (* x (pow (cos B) 2))))) x) |
(/ (- (+ (* -1 (/ (sin B) (cos B))) (* -1 (/ (sin B) (* (pow x 2) (pow (cos B) 3))))) (/ (sin B) (* x (pow (cos B) 2)))) x) |
(/ (- (+ (* -1 (/ (sin B) (cos B))) (* -1 (/ (sin B) (* (pow x 3) (pow (cos B) 4))))) (+ (/ (sin B) (* x (pow (cos B) 2))) (/ (sin B) (* (pow x 2) (pow (cos B) 3))))) x) |
(* -1 (/ (sin B) (* x (cos B)))) |
(* -1 (/ (+ (/ (sin B) (cos B)) (/ (sin B) (* x (pow (cos B) 2)))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (sin B) (* x (pow (cos B) 3)))) (/ (sin B) (pow (cos B) 2))) x)) (/ (sin B) (cos B))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (sin B) (* x (pow (cos B) 4))) (* -1 (/ (sin B) (pow (cos B) 3)))) x)) (/ (sin B) (pow (cos B) 2))) x)) (/ (sin B) (cos B))) x)) |
(/ (- 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 (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 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 B) |
(/ 1 B) |
(/ 1 B) |
(/ 1 B) |
(/ 1 B) |
(/ 1 B) |
(/ 1 B) |
(/ 1 B) |
(/ 1 B) |
(/ 1 B) |
(/ 1 B) |
(/ 1 B) |
(/ (- 1 x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) |
(* B (+ 1/6 (* 1/3 x))) |
(* B (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(* B (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(* B (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(* B (+ 1/6 (* 1/3 x))) |
(* -1 (* B (+ (* -1 (+ 1/6 (* 1/3 x))) (* -1 (/ (- 1 x) (pow B 2)))))) |
(* -1 (* B (+ (* -1 (+ 1/6 (* 1/3 x))) (* -1 (/ (- 1 x) (pow B 2)))))) |
(* -1 (* B (+ (* -1 (+ 1/6 (* 1/3 x))) (* -1 (/ (- 1 x) (pow B 2)))))) |
(/ (+ 1 (* 1/6 (pow B 2))) B) |
(+ (* 1/6 B) (+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B))) |
(+ (* 1/6 B) (+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B))) |
(+ (* 1/6 B) (+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B))) |
(/ (* x (- (* 1/3 (pow B 2)) 1)) B) |
(* x (- (+ (* 1/6 (/ B x)) (+ (* 1/3 B) (/ 1 (* B x)))) (/ 1 B))) |
(* x (- (+ (* 1/6 (/ B x)) (+ (* 1/3 B) (/ 1 (* B x)))) (/ 1 B))) |
(* x (- (+ (* 1/6 (/ B x)) (+ (* 1/3 B) (/ 1 (* B x)))) (/ 1 B))) |
(* -1 (/ (* x (+ 1 (* -1/3 (pow B 2)))) B)) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/6 B) (/ 1 B)) x)) (+ (* -1/3 B) (/ 1 B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/6 B) (/ 1 B)) x)) (+ (* -1/3 B) (/ 1 B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/6 B) (/ 1 B)) x)) (+ (* -1/3 B) (/ 1 B))))) |
(- 1 x) |
(- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) |
(- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) |
(- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) |
(* (pow B 2) (+ 1/6 (* 1/3 x))) |
(* (pow B 2) (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(* (pow B 2) (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(* (pow B 2) (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(* (pow B 2) (+ 1/6 (* 1/3 x))) |
(* (pow B 2) (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(* (pow B 2) (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(* (pow B 2) (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(+ 1 (* 1/6 (pow B 2))) |
(+ 1 (+ (* 1/6 (pow B 2)) (* x (- (* 1/3 (pow B 2)) 1)))) |
(+ 1 (+ (* 1/6 (pow B 2)) (* x (- (* 1/3 (pow B 2)) 1)))) |
(+ 1 (+ (* 1/6 (pow B 2)) (* x (- (* 1/3 (pow B 2)) 1)))) |
(* x (- (* 1/3 (pow B 2)) 1)) |
(* x (- (+ (* 1/6 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x))) 1)) |
(* x (- (+ (* 1/6 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x))) 1)) |
(* x (- (+ (* 1/6 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x))) 1)) |
(* -1 (* x (+ 1 (* -1/3 (pow B 2))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2)))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2)))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2)))))) |
1 |
(+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) |
(+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) |
(+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) |
(* (pow B 2) (+ 1/6 (* 1/3 x))) |
(* (pow B 2) (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2))))) |
(* (pow B 2) (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2))))) |
(* (pow B 2) (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2))))) |
(* (pow B 2) (+ 1/6 (* 1/3 x))) |
(* (pow B 2) (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2))))) |
(* (pow B 2) (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2))))) |
(* (pow B 2) (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2))))) |
(+ 1 (* 1/6 (pow B 2))) |
(+ 1 (+ (* 1/6 (pow B 2)) (* 1/3 (* (pow B 2) x)))) |
(+ 1 (+ (* 1/6 (pow B 2)) (* 1/3 (* (pow B 2) x)))) |
(+ 1 (+ (* 1/6 (pow B 2)) (* 1/3 (* (pow B 2) x)))) |
(* 1/3 (* (pow B 2) x)) |
(* x (+ (* 1/6 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x)))) |
(* x (+ (* 1/6 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x)))) |
(* x (+ (* 1/6 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x)))) |
(* 1/3 (* (pow B 2) x)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2))))) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(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 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 (pow x 3)) (* B (+ 1 (* x (+ 1 x))))) |
(/ (- 1 (pow x 3)) (* B (+ 1 (* x (+ 1 x))))) |
(/ (- 1 (pow x 3)) (* B (+ 1 (* x (+ 1 x))))) |
(/ (- 1 (pow x 3)) (* B (+ 1 (* x (+ 1 x))))) |
(/ (- 1 (pow x 3)) (* B (+ 1 (* x (+ 1 x))))) |
(/ (- 1 (pow x 3)) (* B (+ 1 (* x (+ 1 x))))) |
(/ (- 1 (pow x 3)) (* B (+ 1 (* x (+ 1 x))))) |
(/ (- 1 (pow x 3)) (* B (+ 1 (* x (+ 1 x))))) |
(/ (- 1 (pow x 3)) (* B (+ 1 (* x (+ 1 x))))) |
(/ (- 1 (pow x 3)) (* B (+ 1 (* x (+ 1 x))))) |
(/ (- 1 (pow x 3)) (* B (+ 1 (* x (+ 1 x))))) |
(/ (- 1 (pow x 3)) (* B (+ 1 (* x (+ 1 x))))) |
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 |
(+ 1 (* -1 (pow x 3))) |
(+ 1 (* -1 (pow x 3))) |
(+ 1 (* -1 (pow x 3))) |
(* -1 (pow x 3)) |
(* (pow x 3) (- (/ 1 (pow x 3)) 1)) |
(* (pow x 3) (- (/ 1 (pow x 3)) 1)) |
(* (pow x 3) (- (/ 1 (pow x 3)) 1)) |
(* -1 (pow x 3)) |
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3))))) |
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3))))) |
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3))))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(/ 1 B) |
(/ (+ 1 (* 1/6 (pow B 2))) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 1/45 x)))))) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (+ (* 31/15120 (pow B 2)) (* 1/45 x))))))) B) |
(* 1/45 (* (pow B 3) x)) |
(* (pow B 3) (+ (* 1/45 x) (/ 1 (* (pow B 3) (sin B))))) |
(* (pow B 3) (+ (* 1/45 x) (/ 1 (* (pow B 3) (sin B))))) |
(* (pow B 3) (+ (* 1/45 x) (/ 1 (* (pow B 3) (sin B))))) |
(* 1/45 (* (pow B 3) x)) |
(* -1 (* (pow B 3) (- (* -1/45 x) (/ 1 (* (pow B 3) (sin B)))))) |
(* -1 (* (pow B 3) (- (* -1/45 x) (/ 1 (* (pow B 3) (sin B)))))) |
(* -1 (* (pow B 3) (- (* -1/45 x) (/ 1 (* (pow B 3) (sin B)))))) |
(/ 1 (sin B)) |
(+ (* 1/45 (* (pow B 3) x)) (/ 1 (sin B))) |
(+ (* 1/45 (* (pow B 3) x)) (/ 1 (sin B))) |
(+ (* 1/45 (* (pow B 3) x)) (/ 1 (sin B))) |
(* 1/45 (* (pow B 3) x)) |
(* x (+ (* 1/45 (pow B 3)) (/ 1 (* x (sin B))))) |
(* x (+ (* 1/45 (pow B 3)) (/ 1 (* x (sin B))))) |
(* x (+ (* 1/45 (pow B 3)) (/ 1 (* x (sin B))))) |
(* 1/45 (* (pow B 3) x)) |
(* -1 (* x (- (* -1/45 (pow B 3)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (* -1/45 (pow B 3)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (* -1/45 (pow B 3)) (/ 1 (* x (sin B)))))) |
(* 1/45 (* (pow B 3) x)) |
(* 1/45 (* (pow B 3) x)) |
(* 1/45 (* (pow B 3) x)) |
(* 1/45 (* (pow B 3) x)) |
(* 1/45 (* (pow B 3) x)) |
(* 1/45 (* (pow B 3) x)) |
(* 1/45 (* (pow B 3) x)) |
(* 1/45 (* (pow B 3) x)) |
(* 1/45 (* (pow B 3) x)) |
(* 1/45 (* (pow B 3) x)) |
(* 1/45 (* (pow B 3) x)) |
(* 1/45 (* (pow B 3) x)) |
(* 1/45 (* (pow B 3) x)) |
(* 1/45 (* (pow B 3) x)) |
(* 1/45 (* (pow B 3) x)) |
(* 1/45 (* (pow B 3) x)) |
(* 1/45 (* (pow B 3) x)) |
(* 1/45 (* (pow B 3) x)) |
(* 1/45 (* (pow B 3) x)) |
(* 1/45 (* (pow B 3) x)) |
(* 1/45 (* (pow B 3) x)) |
(* 1/45 (* (pow B 3) x)) |
(* 1/45 (* (pow B 3) x)) |
(* 1/45 (* (pow B 3) x)) |
(* (pow B 3) x) |
(* (pow B 3) x) |
(* (pow B 3) x) |
(* (pow B 3) x) |
(* (pow B 3) x) |
(* (pow B 3) x) |
(* (pow B 3) x) |
(* (pow B 3) x) |
(* (pow B 3) x) |
(* (pow B 3) x) |
(* (pow B 3) x) |
(* (pow B 3) x) |
(* (pow B 3) x) |
(* (pow B 3) x) |
(* (pow B 3) x) |
(* (pow B 3) x) |
(* (pow B 3) x) |
(* (pow B 3) x) |
(* (pow B 3) x) |
(* (pow B 3) x) |
(* (pow B 3) x) |
(* (pow B 3) x) |
(* (pow B 3) x) |
(* (pow B 3) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(/ (* 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)) |
1/6 |
(+ 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 x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
| Outputs |
|---|
(/ (- 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 x #s(literal 1/3 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 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 x #s(literal 1/3 binary64) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) B) B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(fma.f64 (cos.f64 B) (neg.f64 (/.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) (neg.f64 (/.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) (neg.f64 (/.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) (neg.f64 (/.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) (neg.f64 (/.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) (neg.f64 (/.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) (neg.f64 (/.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) (neg.f64 (/.f64 x (sin.f64 B))) (/.f64 #s(literal 1 binary64) (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) (neg.f64 (/.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) (neg.f64 (/.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) (neg.f64 (/.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) (neg.f64 (/.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) (neg.f64 (/.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) (neg.f64 (/.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)))))) |
(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))))) |
(/ B (- 1 x)) |
(/.f64 B (-.f64 #s(literal 1 binary64) x)) |
(* B (+ (* -1 (* (pow B 2) (+ (* 1/6 (/ 1 (pow (- 1 x) 2))) (* 1/3 (/ x (pow (- 1 x) 2)))))) (/ 1 (- 1 x)))) |
(fma.f64 B (*.f64 (*.f64 B B) (fma.f64 #s(literal -1/3 binary64) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1/6 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (/.f64 B (-.f64 #s(literal 1 binary64) x))) |
(* B (+ (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1 (/ (* (+ 1/6 (* 1/3 x)) (+ (* 1/3 (/ x (pow (- 1 x) 2))) (* 1/6 (/ 1 (pow (- 1 x) 2))))) (- 1 x))) (+ (* -1/9 (/ x (pow (- 1 x) 2))) (+ (* 7/360 (/ 1 (pow (- 1 x) 2))) (* 2/15 (/ x (pow (- 1 x) 2)))))))) (+ (* 1/6 (/ 1 (pow (- 1 x) 2))) (* 1/3 (/ x (pow (- 1 x) 2)))))) (/ 1 (- 1 x)))) |
(fma.f64 (fma.f64 (*.f64 B B) (-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (fma.f64 x (/.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/6 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/45 binary64) (/.f64 #s(literal 7/360 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (fma.f64 #s(literal -1/3 binary64) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1/6 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (*.f64 B (*.f64 B B)) (/.f64 B (-.f64 #s(literal 1 binary64) x))) |
(* B (+ (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1 (/ (* (+ 7/360 (+ (* -1/9 x) (* 2/15 x))) (+ (* 1/3 (/ x (pow (- 1 x) 2))) (* 1/6 (/ 1 (pow (- 1 x) 2))))) (- 1 x))) (+ (* -1 (/ (* (+ 1/6 (* 1/3 x)) (+ (* -1 (/ (* (+ 1/6 (* 1/3 x)) (+ (* 1/3 (/ x (pow (- 1 x) 2))) (* 1/6 (/ 1 (pow (- 1 x) 2))))) (- 1 x))) (+ (* -1/9 (/ x (pow (- 1 x) 2))) (+ (* 7/360 (/ 1 (pow (- 1 x) 2))) (* 2/15 (/ x (pow (- 1 x) 2))))))) (- 1 x))) (+ (* -1/3 (/ (+ (* -1/9 x) (* 2/15 x)) (pow (- 1 x) 2))) (+ (* -2/45 (/ x (pow (- 1 x) 2))) (+ (* 31/15120 (/ 1 (pow (- 1 x) 2))) (* 17/315 (/ x (pow (- 1 x) 2)))))))))) (+ (* -1 (/ (* (+ 1/6 (* 1/3 x)) (+ (* 1/3 (/ x (pow (- 1 x) 2))) (* 1/6 (/ 1 (pow (- 1 x) 2))))) (- 1 x))) (+ (* -1/9 (/ x (pow (- 1 x) 2))) (+ (* 7/360 (/ 1 (pow (- 1 x) 2))) (* 2/15 (/ x (pow (- 1 x) 2)))))))) (+ (* 1/6 (/ 1 (pow (- 1 x) 2))) (* 1/3 (/ x (pow (- 1 x) 2)))))) (/ 1 (- 1 x)))) |
(fma.f64 B (*.f64 B (*.f64 B (fma.f64 (*.f64 B B) (neg.f64 (fma.f64 B (*.f64 B (+.f64 (fma.f64 (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1/6 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/6 binary64)) (/.f64 (fma.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/6 binary64)) (/.f64 (fma.f64 x (/.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/6 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/45 binary64) (/.f64 #s(literal 7/360 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x #s(literal -1/135 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/105 binary64) (/.f64 #s(literal 31/15120 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))) (fma.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/6 binary64)) (/.f64 (fma.f64 x (/.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/6 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/45 binary64) (/.f64 #s(literal 7/360 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))))) (fma.f64 #s(literal -1/3 binary64) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1/6 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))))) (/.f64 B (-.f64 #s(literal 1 binary64) x))) |
(/ 1 (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(/ 1 (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(/ 1 (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(/ 1 (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(/ 1 (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(/ 1 (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(/ 1 (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(/ 1 (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(sin B) |
(sin.f64 B) |
(+ (sin B) (* x (* (cos B) (sin B)))) |
(*.f64 (fma.f64 x (cos.f64 B) #s(literal 1 binary64)) (sin.f64 B)) |
(+ (sin B) (* x (- (* x (* (pow (cos B) 2) (sin B))) (* -1 (* (cos B) (sin B)))))) |
(fma.f64 x (*.f64 (sin.f64 B) (*.f64 (cos.f64 B) (-.f64 (*.f64 x (cos.f64 B)) #s(literal -1 binary64)))) (sin.f64 B)) |
(+ (sin B) (* x (- (* x (- (* x (* (pow (cos B) 3) (sin B))) (* -1 (* (pow (cos B) 2) (sin B))))) (* -1 (* (cos B) (sin B)))))) |
(fma.f64 x (*.f64 x (*.f64 (sin.f64 B) (*.f64 (pow.f64 (cos.f64 B) #s(literal 2 binary64)) (-.f64 (*.f64 x (cos.f64 B)) #s(literal -1 binary64))))) (*.f64 (fma.f64 x (cos.f64 B) #s(literal 1 binary64)) (sin.f64 B))) |
(* -1 (/ (sin B) (* x (cos B)))) |
(/.f64 (neg.f64 (sin.f64 B)) (*.f64 x (cos.f64 B))) |
(/ (+ (* -1 (/ (sin B) (cos B))) (* -1 (/ (sin B) (* x (pow (cos B) 2))))) x) |
(-.f64 (/.f64 (neg.f64 (sin.f64 B)) (*.f64 x (cos.f64 B))) (/.f64 (sin.f64 B) (*.f64 x (*.f64 x (pow.f64 (cos.f64 B) #s(literal 2 binary64)))))) |
(/ (- (+ (* -1 (/ (sin B) (cos B))) (* -1 (/ (sin B) (* (pow x 2) (pow (cos B) 3))))) (/ (sin B) (* x (pow (cos B) 2)))) x) |
(/.f64 (-.f64 (-.f64 (/.f64 (sin.f64 B) (*.f64 (pow.f64 (cos.f64 B) #s(literal 2 binary64)) (neg.f64 x))) (/.f64 (sin.f64 B) (*.f64 (pow.f64 (cos.f64 B) #s(literal 3 binary64)) (*.f64 x x)))) (/.f64 (sin.f64 B) (cos.f64 B))) x) |
(/ (- (+ (* -1 (/ (sin B) (cos B))) (* -1 (/ (sin B) (* (pow x 3) (pow (cos B) 4))))) (+ (/ (sin B) (* x (pow (cos B) 2))) (/ (sin B) (* (pow x 2) (pow (cos B) 3))))) x) |
(/.f64 (-.f64 (-.f64 (/.f64 (sin.f64 B) (*.f64 (pow.f64 (cos.f64 B) #s(literal 2 binary64)) (neg.f64 x))) (/.f64 (sin.f64 B) (*.f64 (pow.f64 (cos.f64 B) #s(literal 3 binary64)) (*.f64 x x)))) (+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (/.f64 (sin.f64 B) (*.f64 (*.f64 x x) (*.f64 x (pow.f64 (cos.f64 B) #s(literal 4 binary64))))))) x) |
(* -1 (/ (sin B) (* x (cos B)))) |
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(*.f64 x (*.f64 B B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B 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 (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 x (*.f64 B (*.f64 B #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) (neg.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #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 B (*.f64 B (fma.f64 x #s(literal -1/3 binary64) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x #s(literal 2/945 binary64)) B) B (*.f64 x #s(literal 1/45 binary64))) (*.f64 B B))))) 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)) |
1/6 |
#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 x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
Compiled 42 436 to 3 205 computations (92.4% saved)
48 alts after pruning (44 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 295 | 15 | 1 310 |
| Fresh | 2 | 29 | 31 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 301 | 48 | 1 349 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 32.9% | (fma.f64 (*.f64 (*.f64 B #s(literal 1/45 binary64)) (*.f64 B x)) B (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| 58.0% | (fma.f64 x (fma.f64 B (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| 42.0% | (fma.f64 x (fma.f64 B (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x B))) (/.f64 x (neg.f64 B))) | |
| 55.3% | (fma.f64 B #s(literal 1/6 binary64) (fma.f64 x (*.f64 B #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))) | |
| 19.2% | (pow.f64 (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) | |
| 41.0% | (pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 55.1% | (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) B) B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) | |
| 30.3% | (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B) | |
| 38.1% | (/.f64 (fma.f64 x (sin.f64 B) (tan.f64 B)) (*.f64 (tan.f64 B) (sin.f64 B))) | |
| 30.0% | (/.f64 (fma.f64 B (*.f64 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) | |
| 30.1% | (/.f64 (fma.f64 B (*.f64 B (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) | |
| 30.3% | (/.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) B) | |
| 31.0% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))) B) | |
| 50.8% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B) | |
| 11.2% | (/.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) B) | |
| 55.2% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) B) | |
| ▶ | 55.1% | (/.f64 (-.f64 (fma.f64 (*.f64 B B) (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) x) B) |
| ▶ | 55.1% | (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))) #s(literal 1 binary64)) x) B) |
| 50.9% | (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 B B) (*.f64 (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))) x) B) | |
| 18.3% | (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (/.f64 (*.f64 x x) (*.f64 B B))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B))) | |
| 39.5% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) (*.f64 (/.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (/.f64 B x))) | |
| 38.6% | (/.f64 (-.f64 B (*.f64 B x)) (*.f64 B B)) | |
| 50.5% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 B (+.f64 #s(literal 1 binary64) x))) | |
| ✓ | 55.2% | (/.f64 (-.f64 #s(literal 1 binary64) x) B) |
| 50.7% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) B) | |
| 26.9% | (/.f64 (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64))) B) | |
| 47.7% | (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) | |
| 26.9% | (/.f64 (neg.f64 x) B) | |
| 30.2% | (/.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)) | |
| 30.2% | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B)) | |
| 30.2% | (/.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B)) | |
| 75.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B))))) | |
| 53.5% | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (cos.f64 B) #s(literal 1 binary64)) (sin.f64 B))) | |
| ✓ | 53.0% | (/.f64 #s(literal 1 binary64) (sin.f64 B)) |
| ✓ | 30.1% | (/.f64 #s(literal 1 binary64) B) |
| ✓ | 99.8% | (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| 76.0% | (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B))) | |
| 99.7% | (+.f64 (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| 57.4% | (+.f64 (neg.f64 (*.f64 x (/.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))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| 52.4% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)))) | |
| 75.9% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) B)) | |
| 55.2% | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x)) | |
| 26.8% | (*.f64 x (fma.f64 B (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) B))) | |
| 2.3% | (*.f64 x (*.f64 B (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))) | |
| ▶ | 2.7% | (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
| 2.1% | (*.f64 B (fma.f64 #s(literal 1/3 binary64) (/.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 B B) #s(literal 1/45 binary64))))) | |
| ▶ | 19.2% | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
Compiled 1 483 to 896 computations (39.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (cos.f64 (*.f64 B #s(literal -2 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))) |
| ✓ | cost-diff | 0 | (-.f64 (fma.f64 x (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))) #s(literal 1 binary64)) x) |
| ✓ | cost-diff | 320 | (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))) #s(literal 1 binary64)) x) B) |
| ✓ | cost-diff | 832 | (fma.f64 x (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 B B) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 B B) (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 128 | (-.f64 (fma.f64 (*.f64 B B) (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) x) |
| ✓ | cost-diff | 192 | (/.f64 (-.f64 (fma.f64 (*.f64 B B) (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) x) B) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 0 | (neg.f64 (cos.f64 B)) |
| ✓ | cost-diff | 0 | (sin.f64 B) |
| ✓ | cost-diff | 0 | (/.f64 x (sin.f64 B)) |
| ✓ | cost-diff | 6912 | (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 8 324× | lower-fma.f32 |
| 8 314× | lower-fma.f64 |
| 3 270× | lower-*.f32 |
| 3 260× | lower-*.f64 |
| 2 002× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 189 |
| 0 | 60 | 189 |
| 1 | 113 | 189 |
| 2 | 226 | 189 |
| 3 | 462 | 189 |
| 4 | 746 | 183 |
| 5 | 1335 | 183 |
| 6 | 2862 | 179 |
| 7 | 6106 | 179 |
| 0 | 8087 | 173 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 x (sin.f64 B)) |
x |
(sin.f64 B) |
B |
(neg.f64 (cos.f64 B)) |
(cos.f64 B) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
#s(literal 1 binary64) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
B |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
x |
#s(literal 1/3 binary64) |
#s(literal 1/6 binary64) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) x) B) |
(-.f64 (fma.f64 (*.f64 B B) (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 B B) (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) |
(*.f64 B B) |
B |
(*.f64 x #s(literal 1/3 binary64)) |
x |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
(/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))) #s(literal 1 binary64)) x) B) |
(-.f64 (fma.f64 x (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))) #s(literal 1 binary64)) x) |
(fma.f64 x (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))) #s(literal 1 binary64)) |
x |
(*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))) |
(*.f64 B B) |
B |
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x)) |
#s(literal 1/3 binary64) |
(/.f64 #s(literal 1/6 binary64) x) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
#s(literal 1 binary64) |
(fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(cos.f64 (*.f64 B #s(literal -2 binary64))) |
(*.f64 B #s(literal -2 binary64)) |
B |
#s(literal -2 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64))) |
(/.f64 x (sin.f64 B)) |
x |
(sin.f64 B) |
B |
(neg.f64 (cos.f64 B)) |
(cos.f64 B) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
#s(literal 1 binary64) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
B |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
x |
#s(literal 1/3 binary64) |
#s(literal 1/6 binary64) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) x) B) |
(fma.f64 x (*.f64 B #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
(-.f64 (fma.f64 (*.f64 B B) (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) x) |
(fma.f64 x (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 B B) (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 B (*.f64 B #s(literal 1/3 binary64))) #s(literal 1 binary64)) |
(*.f64 B B) |
B |
(*.f64 x #s(literal 1/3 binary64)) |
x |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
(/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))) #s(literal 1 binary64)) x) B) |
(fma.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
(-.f64 (fma.f64 x (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))) #s(literal 1 binary64)) x) |
(-.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 B (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/6 binary64))) x)) |
(fma.f64 x (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
x |
(*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))) |
(*.f64 B B) |
B |
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x)) |
#s(literal 1/3 binary64) |
(/.f64 #s(literal 1/6 binary64) x) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
#s(literal 1 binary64) |
(fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(cos.f64 (*.f64 B #s(literal -2 binary64))) |
(*.f64 B #s(literal -2 binary64)) |
B |
#s(literal -2 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 (*.f64 B #s(literal -2 binary64))) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 75.5% | (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 73.3% | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1/6 binary64) x) |
| ✓ | accuracy | 96.3% | (fma.f64 x (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))) #s(literal 1 binary64)) |
| ✓ | accuracy | 93.3% | (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))) |
| ✓ | accuracy | 80.6% | (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))) #s(literal 1 binary64)) x) B) |
| ✓ | accuracy | 100.0% | (-.f64 (fma.f64 (*.f64 B B) (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) x) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/3 binary64)) |
| ✓ | accuracy | 93.0% | (fma.f64 (*.f64 B B) (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 87.4% | (/.f64 (-.f64 (fma.f64 (*.f64 B B) (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) x) B) |
| ✓ | accuracy | 99.8% | (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.6% | (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
| ✓ | accuracy | 100.0% | (cos.f64 B) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (sin.f64 B)) |
| ✓ | accuracy | 99.8% | (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| ✓ | accuracy | 99.8% | (/.f64 x (sin.f64 B)) |
| 60.0ms | 72× | 2 | valid |
| 42.0ms | 119× | 0 | valid |
| 32.0ms | 19× | 3 | valid |
| 26.0ms | 43× | 1 | valid |
| 3.0ms | 2× | 5 | exit |
| 1.0ms | 1× | 4 | valid |
Compiled 191 to 38 computations (80.1% saved)
adjust: 31.0ms (23.3% of total)ival-cos: 27.0ms (20.3% of total)ival-mult: 22.0ms (16.5% of total)ival-div: 16.0ms (12% of total)ival-add: 11.0ms (8.3% of total)const: 8.0ms (6% of total)ival-sin: 7.0ms (5.3% of total)ival-sqrt: 5.0ms (3.8% of total)ival-sub: 3.0ms (2.3% of total)exact: 1.0ms (0.8% of total)ival-neg: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))> |
#<alt (/.f64 x (sin.f64 B))> |
#<alt (sin.f64 B)> |
#<alt (neg.f64 (cos.f64 B))> |
#<alt (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))> |
#<alt (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))> |
#<alt (/.f64 (-.f64 (fma.f64 (*.f64 B B) (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) x) B)> |
#<alt (-.f64 (fma.f64 (*.f64 B B) (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) x)> |
#<alt (fma.f64 (*.f64 B B) (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))> |
#<alt (*.f64 B B)> |
#<alt (fma.f64 x (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))) #s(literal 1 binary64))> |
#<alt (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))) #s(literal 1 binary64)) x) B)> |
#<alt (-.f64 (fma.f64 x (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))) #s(literal 1 binary64)) x)> |
#<alt (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x)))> |
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))> |
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))> |
#<alt (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))> |
#<alt (cos.f64 (*.f64 B #s(literal -2 binary64)))> |
#<alt (/.f64 #s(literal 1 binary64) (sin.f64 B))> |
#<alt (cos.f64 B)> |
#<alt (*.f64 x #s(literal 1/3 binary64))> |
#<alt (/.f64 #s(literal 1/6 binary64) x)> |
| Outputs |
|---|
#<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 (* -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 (/ 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 -1> |
#<alt (- (* 1/2 (pow B 2)) 1)> |
#<alt (- (* (pow B 2) (+ 1/2 (* -1/24 (pow B 2)))) 1)> |
#<alt (- (* (pow B 2) (+ 1/2 (* (pow B 2) (- (* 1/720 (pow B 2)) 1/24)))) 1)> |
#<alt (* -1 (cos B))> |
#<alt (* -1 (cos B))> |
#<alt (* -1 (cos B))> |
#<alt (* -1 (cos B))> |
#<alt (* -1 (cos B))> |
#<alt (* -1 (cos B))> |
#<alt (* -1 (cos B))> |
#<alt (* -1 (cos B))> |
#<alt (* B (+ 1/6 (* 1/3 x)))> |
#<alt (* B (+ 1/6 (* 1/3 x)))> |
#<alt (* B (+ 1/6 (* 1/3 x)))> |
#<alt (* B (+ 1/6 (* 1/3 x)))> |
#<alt (* B (+ 1/6 (* 1/3 x)))> |
#<alt (* B (+ 1/6 (* 1/3 x)))> |
#<alt (* B (+ 1/6 (* 1/3 x)))> |
#<alt (* B (+ 1/6 (* 1/3 x)))> |
#<alt (* B (+ 1/6 (* 1/3 x)))> |
#<alt (* B (+ 1/6 (* 1/3 x)))> |
#<alt (* B (+ 1/6 (* 1/3 x)))> |
#<alt (* B (+ 1/6 (* 1/3 x)))> |
#<alt (* 1/6 B)> |
#<alt (+ (* 1/6 B) (* 1/3 (* B x)))> |
#<alt (+ (* 1/6 B) (* 1/3 (* B x)))> |
#<alt (+ (* 1/6 B) (* 1/3 (* B x)))> |
#<alt (* 1/3 (* B x))> |
#<alt (* x (+ (* 1/6 (/ B x)) (* 1/3 B)))> |
#<alt (* x (+ (* 1/6 (/ B x)) (* 1/3 B)))> |
#<alt (* x (+ (* 1/6 (/ B x)) (* 1/3 B)))> |
#<alt (* 1/3 (* B x))> |
#<alt (* -1 (* x (+ (* -1/3 B) (* -1/6 (/ B x)))))> |
#<alt (* -1 (* x (+ (* -1/3 B) (* -1/6 (/ B x)))))> |
#<alt (* -1 (* x (+ (* -1/3 B) (* -1/6 (/ B 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 (/ (- 1 x) B)> |
#<alt (/ (- (+ 1 (* 1/3 (* (pow B 2) x))) x) B)> |
#<alt (/ (- (+ 1 (* 1/3 (* (pow B 2) x))) x) B)> |
#<alt (/ (- (+ 1 (* 1/3 (* (pow B 2) x))) x) B)> |
#<alt (* 1/3 (* B x))> |
#<alt (* B (- (+ (* 1/3 x) (/ 1 (pow B 2))) (/ x (pow B 2))))> |
#<alt (* B (- (+ (* 1/3 x) (/ 1 (pow B 2))) (/ x (pow B 2))))> |
#<alt (* B (- (+ (* 1/3 x) (/ 1 (pow B 2))) (/ x (pow B 2))))> |
#<alt (* 1/3 (* B x))> |
#<alt (* -1 (* B (+ (* -1 (/ (- 1 x) (pow B 2))) (* -1/3 x))))> |
#<alt (* -1 (* B (+ (* -1 (/ (- 1 x) (pow B 2))) (* -1/3 x))))> |
#<alt (* -1 (* B (+ (* -1 (/ (- 1 x) (pow B 2))) (* -1/3 x))))> |
#<alt (/ 1 B)> |
#<alt (+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B))> |
#<alt (+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B))> |
#<alt (+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B))> |
#<alt (/ (* x (- (* 1/3 (pow B 2)) 1)) B)> |
#<alt (* x (- (+ (* 1/3 B) (/ 1 (* B x))) (/ 1 B)))> |
#<alt (* x (- (+ (* 1/3 B) (/ 1 (* B x))) (/ 1 B)))> |
#<alt (* x (- (+ (* 1/3 B) (/ 1 (* B x))) (/ 1 B)))> |
#<alt (* -1 (/ (* x (+ 1 (* -1/3 (pow B 2)))) B))> |
#<alt (* -1 (* x (- (+ (* -1/3 B) (/ 1 B)) (/ 1 (* B x)))))> |
#<alt (* -1 (* x (- (+ (* -1/3 B) (/ 1 B)) (/ 1 (* B x)))))> |
#<alt (* -1 (* x (- (+ (* -1/3 B) (/ 1 B)) (/ 1 (* B x)))))> |
#<alt (- 1 x)> |
#<alt (- (+ 1 (* 1/3 (* (pow B 2) x))) x)> |
#<alt (- (+ 1 (* 1/3 (* (pow B 2) x))) x)> |
#<alt (- (+ 1 (* 1/3 (* (pow B 2) x))) x)> |
#<alt (* 1/3 (* (pow B 2) x))> |
#<alt (* (pow B 2) (- (+ (* 1/3 x) (/ 1 (pow B 2))) (/ x (pow B 2))))> |
#<alt (* (pow B 2) (- (+ (* 1/3 x) (/ 1 (pow B 2))) (/ x (pow B 2))))> |
#<alt (* (pow B 2) (- (+ (* 1/3 x) (/ 1 (pow B 2))) (/ x (pow B 2))))> |
#<alt (* 1/3 (* (pow B 2) x))> |
#<alt (* (pow B 2) (- (+ (* 1/3 x) (/ 1 (pow B 2))) (/ x (pow B 2))))> |
#<alt (* (pow B 2) (- (+ (* 1/3 x) (/ 1 (pow B 2))) (/ x (pow B 2))))> |
#<alt (* (pow B 2) (- (+ (* 1/3 x) (/ 1 (pow B 2))) (/ x (pow B 2))))> |
#<alt 1> |
#<alt (+ 1 (* x (- (* 1/3 (pow B 2)) 1)))> |
#<alt (+ 1 (* x (- (* 1/3 (pow B 2)) 1)))> |
#<alt (+ 1 (* x (- (* 1/3 (pow B 2)) 1)))> |
#<alt (* x (- (* 1/3 (pow B 2)) 1))> |
#<alt (* x (- (+ (* 1/3 (pow B 2)) (/ 1 x)) 1))> |
#<alt (* x (- (+ (* 1/3 (pow B 2)) (/ 1 x)) 1))> |
#<alt (* x (- (+ (* 1/3 (pow B 2)) (/ 1 x)) 1))> |
#<alt (* -1 (* x (+ 1 (* -1/3 (pow B 2)))))> |
#<alt (* -1 (* x (- (+ 1 (* -1/3 (pow B 2))) (/ 1 x))))> |
#<alt (* -1 (* x (- (+ 1 (* -1/3 (pow B 2))) (/ 1 x))))> |
#<alt (* -1 (* x (- (+ 1 (* -1/3 (pow B 2))) (/ 1 x))))> |
#<alt 1> |
#<alt (+ 1 (* 1/3 (* (pow B 2) x)))> |
#<alt (+ 1 (* 1/3 (* (pow B 2) x)))> |
#<alt (+ 1 (* 1/3 (* (pow B 2) x)))> |
#<alt (* 1/3 (* (pow B 2) x))> |
#<alt (* (pow B 2) (+ (* 1/3 x) (/ 1 (pow B 2))))> |
#<alt (* (pow B 2) (+ (* 1/3 x) (/ 1 (pow B 2))))> |
#<alt (* (pow B 2) (+ (* 1/3 x) (/ 1 (pow B 2))))> |
#<alt (* 1/3 (* (pow B 2) x))> |
#<alt (* (pow B 2) (+ (* 1/3 x) (/ 1 (pow B 2))))> |
#<alt (* (pow B 2) (+ (* 1/3 x) (/ 1 (pow B 2))))> |
#<alt (* (pow B 2) (+ (* 1/3 x) (/ 1 (pow B 2))))> |
#<alt 1> |
#<alt (+ 1 (* 1/3 (* (pow B 2) x)))> |
#<alt (+ 1 (* 1/3 (* (pow B 2) x)))> |
#<alt (+ 1 (* 1/3 (* (pow B 2) x)))> |
#<alt (* 1/3 (* (pow B 2) x))> |
#<alt (* x (+ (* 1/3 (pow B 2)) (/ 1 x)))> |
#<alt (* x (+ (* 1/3 (pow B 2)) (/ 1 x)))> |
#<alt (* x (+ (* 1/3 (pow B 2)) (/ 1 x)))> |
#<alt (* 1/3 (* (pow B 2) x))> |
#<alt (* -1 (* x (- (* -1/3 (pow B 2)) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1/3 (pow B 2)) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1/3 (pow B 2)) (/ 1 x))))> |
#<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 (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (+ 1 (* 1/6 (pow B 2)))> |
#<alt (+ 1 (+ (* 1/6 (pow B 2)) (* 1/3 (* (pow B 2) x))))> |
#<alt (+ 1 (+ (* 1/6 (pow B 2)) (* 1/3 (* (pow B 2) x))))> |
#<alt (+ 1 (+ (* 1/6 (pow B 2)) (* 1/3 (* (pow B 2) x))))> |
#<alt (* 1/3 (* (pow B 2) x))> |
#<alt (* x (+ (* 1/6 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x))))> |
#<alt (* x (+ (* 1/6 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x))))> |
#<alt (* x (+ (* 1/6 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x))))> |
#<alt (* 1/3 (* (pow B 2) x))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2)))))> |
#<alt 1> |
#<alt (+ 1 (* (pow B 2) (* x (+ 1/3 (* 1/6 (/ 1 x))))))> |
#<alt (+ 1 (* (pow B 2) (* x (+ 1/3 (* 1/6 (/ 1 x))))))> |
#<alt (+ 1 (* (pow B 2) (* x (+ 1/3 (* 1/6 (/ 1 x))))))> |
#<alt (* (pow B 2) (* x (+ 1/3 (* 1/6 (/ 1 x)))))> |
#<alt (* (pow B 2) (+ (* x (+ 1/3 (* 1/6 (/ 1 x)))) (/ 1 (pow B 2))))> |
#<alt (* (pow B 2) (+ (* x (+ 1/3 (* 1/6 (/ 1 x)))) (/ 1 (pow B 2))))> |
#<alt (* (pow B 2) (+ (* x (+ 1/3 (* 1/6 (/ 1 x)))) (/ 1 (pow B 2))))> |
#<alt (* (pow B 2) (* x (+ 1/3 (* 1/6 (/ 1 x)))))> |
#<alt (* (pow B 2) (+ (* x (+ 1/3 (* 1/6 (/ 1 x)))) (/ 1 (pow B 2))))> |
#<alt (* (pow B 2) (+ (* x (+ 1/3 (* 1/6 (/ 1 x)))) (/ 1 (pow B 2))))> |
#<alt (* (pow B 2) (+ (* x (+ 1/3 (* 1/6 (/ 1 x)))) (/ 1 (pow B 2))))> |
#<alt (/ (+ 1 (* 1/6 (pow B 2))) B)> |
#<alt (+ (* 1/6 B) (+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B)))> |
#<alt (+ (* 1/6 B) (+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B)))> |
#<alt (+ (* 1/6 B) (+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B)))> |
#<alt (/ (* x (- (* 1/3 (pow B 2)) 1)) B)> |
#<alt (* x (- (+ (* 1/6 (/ B x)) (+ (* 1/3 B) (/ 1 (* B x)))) (/ 1 B)))> |
#<alt (* x (- (+ (* 1/6 (/ B x)) (+ (* 1/3 B) (/ 1 (* B x)))) (/ 1 B)))> |
#<alt (* x (- (+ (* 1/6 (/ B x)) (+ (* 1/3 B) (/ 1 (* B x)))) (/ 1 B)))> |
#<alt (* -1 (/ (* x (+ 1 (* -1/3 (pow B 2)))) B))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/6 B) (/ 1 B)) x)) (+ (* -1/3 B) (/ 1 B)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/6 B) (/ 1 B)) x)) (+ (* -1/3 B) (/ 1 B)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ (* 1/6 B) (/ 1 B)) x)) (+ (* -1/3 B) (/ 1 B)))))> |
#<alt (/ (- 1 x) B)> |
#<alt (/ (- (+ 1 (* (pow B 2) (* x (+ 1/3 (* 1/6 (/ 1 x)))))) x) B)> |
#<alt (/ (- (+ 1 (* (pow B 2) (* x (+ 1/3 (* 1/6 (/ 1 x)))))) x) B)> |
#<alt (/ (- (+ 1 (* (pow B 2) (* x (+ 1/3 (* 1/6 (/ 1 x)))))) x) B)> |
#<alt (* B (* x (+ 1/3 (* 1/6 (/ 1 x)))))> |
#<alt (* B (- (+ (* x (+ 1/3 (* 1/6 (/ 1 x)))) (/ 1 (pow B 2))) (/ x (pow B 2))))> |
#<alt (* B (- (+ (* x (+ 1/3 (* 1/6 (/ 1 x)))) (/ 1 (pow B 2))) (/ x (pow B 2))))> |
#<alt (* B (- (+ (* x (+ 1/3 (* 1/6 (/ 1 x)))) (/ 1 (pow B 2))) (/ x (pow B 2))))> |
#<alt (* B (* x (+ 1/3 (* 1/6 (/ 1 x)))))> |
#<alt (* -1 (* B (+ (* -1 (* x (+ 1/3 (* 1/6 (/ 1 x))))) (* -1 (/ (- 1 x) (pow B 2))))))> |
#<alt (* -1 (* B (+ (* -1 (* x (+ 1/3 (* 1/6 (/ 1 x))))) (* -1 (/ (- 1 x) (pow B 2))))))> |
#<alt (* -1 (* B (+ (* -1 (* x (+ 1/3 (* 1/6 (/ 1 x))))) (* -1 (/ (- 1 x) (pow B 2))))))> |
#<alt (+ 1 (* 1/6 (pow B 2)))> |
#<alt (+ 1 (+ (* 1/6 (pow B 2)) (* x (- (* 1/3 (pow B 2)) 1))))> |
#<alt (+ 1 (+ (* 1/6 (pow B 2)) (* x (- (* 1/3 (pow B 2)) 1))))> |
#<alt (+ 1 (+ (* 1/6 (pow B 2)) (* x (- (* 1/3 (pow B 2)) 1))))> |
#<alt (* x (- (* 1/3 (pow B 2)) 1))> |
#<alt (* x (- (+ (* 1/6 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x))) 1))> |
#<alt (* x (- (+ (* 1/6 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x))) 1))> |
#<alt (* x (- (+ (* 1/6 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x))) 1))> |
#<alt (* -1 (* x (+ 1 (* -1/3 (pow B 2)))))> |
#<alt (* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2))))))> |
#<alt (* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2))))))> |
#<alt (* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2))))))> |
#<alt (- 1 x)> |
#<alt (- (+ 1 (* (pow B 2) (* x (+ 1/3 (* 1/6 (/ 1 x)))))) x)> |
#<alt (- (+ 1 (* (pow B 2) (* x (+ 1/3 (* 1/6 (/ 1 x)))))) x)> |
#<alt (- (+ 1 (* (pow B 2) (* x (+ 1/3 (* 1/6 (/ 1 x)))))) x)> |
#<alt (* (pow B 2) (* x (+ 1/3 (* 1/6 (/ 1 x)))))> |
#<alt (* (pow B 2) (- (+ (* x (+ 1/3 (* 1/6 (/ 1 x)))) (/ 1 (pow B 2))) (/ x (pow B 2))))> |
#<alt (* (pow B 2) (- (+ (* x (+ 1/3 (* 1/6 (/ 1 x)))) (/ 1 (pow B 2))) (/ x (pow B 2))))> |
#<alt (* (pow B 2) (- (+ (* x (+ 1/3 (* 1/6 (/ 1 x)))) (/ 1 (pow B 2))) (/ x (pow B 2))))> |
#<alt (* (pow B 2) (* x (+ 1/3 (* 1/6 (/ 1 x)))))> |
#<alt (* (pow B 2) (- (+ (* x (+ 1/3 (* 1/6 (/ 1 x)))) (/ 1 (pow B 2))) (/ x (pow B 2))))> |
#<alt (* (pow B 2) (- (+ (* x (+ 1/3 (* 1/6 (/ 1 x)))) (/ 1 (pow B 2))) (/ x (pow B 2))))> |
#<alt (* (pow B 2) (- (+ (* x (+ 1/3 (* 1/6 (/ 1 x)))) (/ 1 (pow B 2))) (/ x (pow B 2))))> |
#<alt (* (pow B 2) (+ 1/3 (* 1/6 (/ 1 x))))> |
#<alt (* (pow B 2) (+ 1/3 (* 1/6 (/ 1 x))))> |
#<alt (* (pow B 2) (+ 1/3 (* 1/6 (/ 1 x))))> |
#<alt (* (pow B 2) (+ 1/3 (* 1/6 (/ 1 x))))> |
#<alt (* (pow B 2) (+ 1/3 (* 1/6 (/ 1 x))))> |
#<alt (* (pow B 2) (+ 1/3 (* 1/6 (/ 1 x))))> |
#<alt (* (pow B 2) (+ 1/3 (* 1/6 (/ 1 x))))> |
#<alt (* (pow B 2) (+ 1/3 (* 1/6 (/ 1 x))))> |
#<alt (* (pow B 2) (+ 1/3 (* 1/6 (/ 1 x))))> |
#<alt (* (pow B 2) (+ 1/3 (* 1/6 (/ 1 x))))> |
#<alt (* (pow B 2) (+ 1/3 (* 1/6 (/ 1 x))))> |
#<alt (* (pow B 2) (+ 1/3 (* 1/6 (/ 1 x))))> |
#<alt (* 1/6 (/ (pow B 2) x))> |
#<alt (/ (+ (* 1/6 (pow B 2)) (* 1/3 (* (pow B 2) x))) x)> |
#<alt (/ (+ (* 1/6 (pow B 2)) (* 1/3 (* (pow B 2) x))) x)> |
#<alt (/ (+ (* 1/6 (pow B 2)) (* 1/3 (* (pow B 2) x))) x)> |
#<alt (* 1/3 (pow B 2))> |
#<alt (+ (* 1/6 (/ (pow B 2) x)) (* 1/3 (pow B 2)))> |
#<alt (+ (* 1/6 (/ (pow B 2) x)) (* 1/3 (pow B 2)))> |
#<alt (+ (* 1/6 (/ (pow B 2) x)) (* 1/3 (pow B 2)))> |
#<alt (* 1/3 (pow B 2))> |
#<alt (+ (* 1/6 (/ (pow B 2) x)) (* 1/3 (pow B 2)))> |
#<alt (+ (* 1/6 (/ (pow B 2) x)) (* 1/3 (pow B 2)))> |
#<alt (+ (* 1/6 (/ (pow B 2) x)) (* 1/3 (pow B 2)))> |
#<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 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))))> |
#<alt (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))))> |
#<alt (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))))> |
#<alt (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))))> |
#<alt (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))))> |
#<alt (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))))> |
#<alt (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))))> |
#<alt (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))))> |
#<alt (/ 1 (pow B 2))> |
#<alt (/ (+ 1 (* 1/3 (pow B 2))) (pow B 2))> |
#<alt (/ (+ 1 (* (pow B 2) (+ 1/3 (* 1/15 (pow B 2))))) (pow B 2))> |
#<alt (/ (+ 1 (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/15 (* 2/189 (pow B 2))))))) (pow B 2))> |
#<alt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))> |
#<alt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))> |
#<alt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))> |
#<alt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))> |
#<alt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))> |
#<alt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))> |
#<alt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))> |
#<alt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))> |
#<alt (pow B 2)> |
#<alt (* (pow B 2) (+ 1 (* -1/3 (pow B 2))))> |
#<alt (* (pow B 2) (+ 1 (* (pow B 2) (- (* 2/45 (pow B 2)) 1/3))))> |
#<alt (* (pow B 2) (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 2/45 (* -1/315 (pow B 2)))) 1/3))))> |
#<alt (+ 1/2 (* -1/2 (cos (* -2 B))))> |
#<alt (+ 1/2 (* -1/2 (cos (* -2 B))))> |
#<alt (+ 1/2 (* -1/2 (cos (* -2 B))))> |
#<alt (+ 1/2 (* -1/2 (cos (* -2 B))))> |
#<alt (+ 1/2 (* -1/2 (cos (* -2 B))))> |
#<alt (+ 1/2 (* -1/2 (cos (* -2 B))))> |
#<alt (+ 1/2 (* -1/2 (cos (* -2 B))))> |
#<alt (+ 1/2 (* -1/2 (cos (* -2 B))))> |
#<alt 1> |
#<alt (+ 1 (* -2 (pow B 2)))> |
#<alt (+ 1 (* (pow B 2) (- (* 2/3 (pow B 2)) 2)))> |
#<alt (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 2/3 (* -4/45 (pow B 2)))) 2)))> |
#<alt (cos (* -2 B))> |
#<alt (cos (* -2 B))> |
#<alt (cos (* -2 B))> |
#<alt (cos (* -2 B))> |
#<alt (cos (* -2 B))> |
#<alt (cos (* -2 B))> |
#<alt (cos (* -2 B))> |
#<alt (cos (* -2 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 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 (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (/ 1/6 x)> |
#<alt (/ 1/6 x)> |
#<alt (/ 1/6 x)> |
#<alt (/ 1/6 x)> |
#<alt (/ 1/6 x)> |
#<alt (/ 1/6 x)> |
#<alt (/ 1/6 x)> |
#<alt (/ 1/6 x)> |
#<alt (/ 1/6 x)> |
#<alt (/ 1/6 x)> |
#<alt (/ 1/6 x)> |
#<alt (/ 1/6 x)> |
96 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | B | @ | inf | (- (+ (* x (* (* B B) (+ 1/3 (/ 1/6 x)))) 1) x) |
| 1.0ms | B | @ | inf | (sqrt (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2))) |
| 1.0ms | B | @ | inf | (+ (* (/ x (sin B)) (neg (cos B))) (/ 1 (sin B))) |
| 1.0ms | B | @ | -inf | (+ (* (/ x (sin B)) (neg (cos B))) (/ 1 (sin B))) |
| 1.0ms | B | @ | -inf | (sqrt (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2))) |
| 1× | batch-egg-rewrite |
| 5 264× | lower-fma.f32 |
| 5 254× | lower-fma.f64 |
| 4 306× | lower-*.f32 |
| 4 296× | lower-*.f64 |
| 4 274× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 157 |
| 0 | 60 | 157 |
| 1 | 254 | 156 |
| 2 | 1979 | 153 |
| 0 | 8569 | 153 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 x (sin.f64 B)) |
(sin.f64 B) |
(neg.f64 (cos.f64 B)) |
(*.f64 B (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 (-.f64 (fma.f64 (*.f64 B B) (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) x) B) |
(-.f64 (fma.f64 (*.f64 B B) (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 B B) (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) |
(*.f64 B B) |
(fma.f64 x (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))) #s(literal 1 binary64)) |
(/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))) #s(literal 1 binary64)) x) B) |
(-.f64 (fma.f64 x (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))) #s(literal 1 binary64)) x) |
(*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(cos.f64 (*.f64 B #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(cos.f64 B) |
(*.f64 x #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/6 binary64) x) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))) |
(+.f64 (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 (*.f64 x (cos.f64 B))) #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 (neg.f64 (*.f64 x (cos.f64 B))) #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) (neg.f64 (*.f64 x (cos.f64 B)))) (sin.f64 B))) (/.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (cos.f64 B)))) (sin.f64 B)))) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (neg.f64 (cos.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.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 x (sin.f64 B)) (/.f64 (neg.f64 (cos.f64 B)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.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 (*.f64 x (cos.f64 B)) (sin.f64 B)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 B)) (sin.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 (*.f64 x (cos.f64 B)) (sin.f64 B)))) |
(fma.f64 (neg.f64 (*.f64 x (cos.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 #s(literal 1 binary64) x)) (/.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 (*.f64 x (cos.f64 B)) (sin.f64 B)))) |
(fma.f64 (neg.f64 (/.f64 x (sin.f64 B))) (cos.f64 B) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (*.f64 (/.f64 x (sin.f64 B)) #s(literal -1 binary64)) (cos.f64 B) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)) (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 (*.f64 x #s(literal -1 binary64)) (sin.f64 B)) (/.f64 (cos.f64 B) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 (neg.f64 (cos.f64 B)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 x (cos.f64 B))) #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 (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) #s(literal 3 binary64)) (pow.f64 (sin.f64 B) #s(literal -3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (neg.f64 (*.f64 x (cos.f64 B))) #s(literal 1 binary64)) (sin.f64 B)) (/.f64 (-.f64 (pow.f64 (neg.f64 (*.f64 x (cos.f64 B))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))))) |
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(pow.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 B #s(literal -2 binary64)))))) #s(literal -1/4 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (pow.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 B #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/4 binary64)))))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 B #s(literal -2 binary64)))))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
(cos.f64 (*.f64 B #s(literal -2 binary64))) |
(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))) |
(cos.f64 B) |
(*.f64 x #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) x) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 6 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1/6 binary64) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 6 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal 6 binary64))))) |
(/.f64 #s(literal 1/6 binary64) x) |
(/.f64 #s(literal 1/6 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal 6 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1/6 binary64) (neg.f64 x)) |
(/.f64 #s(literal -1/6 binary64) (neg.f64 (neg.f64 (neg.f64 x)))) |
(pow.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) x)) |
(*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)) |
| 1× | egg-herbie |
| 17 782× | lower-fma.f64 |
| 17 782× | lower-fma.f32 |
| 5 444× | lower-+.f64 |
| 5 444× | lower-+.f32 |
| 4 818× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 334 | 3615 |
| 1 | 969 | 3425 |
| 2 | 3025 | 3373 |
| 0 | 8139 | 3068 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 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 (* -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))) |
(/ 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) |
-1 |
(- (* 1/2 (pow B 2)) 1) |
(- (* (pow B 2) (+ 1/2 (* -1/24 (pow B 2)))) 1) |
(- (* (pow B 2) (+ 1/2 (* (pow B 2) (- (* 1/720 (pow B 2)) 1/24)))) 1) |
(* -1 (cos B)) |
(* -1 (cos B)) |
(* -1 (cos B)) |
(* -1 (cos B)) |
(* -1 (cos B)) |
(* -1 (cos B)) |
(* -1 (cos B)) |
(* -1 (cos B)) |
(* B (+ 1/6 (* 1/3 x))) |
(* B (+ 1/6 (* 1/3 x))) |
(* B (+ 1/6 (* 1/3 x))) |
(* B (+ 1/6 (* 1/3 x))) |
(* B (+ 1/6 (* 1/3 x))) |
(* B (+ 1/6 (* 1/3 x))) |
(* B (+ 1/6 (* 1/3 x))) |
(* B (+ 1/6 (* 1/3 x))) |
(* B (+ 1/6 (* 1/3 x))) |
(* B (+ 1/6 (* 1/3 x))) |
(* B (+ 1/6 (* 1/3 x))) |
(* B (+ 1/6 (* 1/3 x))) |
(* 1/6 B) |
(+ (* 1/6 B) (* 1/3 (* B x))) |
(+ (* 1/6 B) (* 1/3 (* B x))) |
(+ (* 1/6 B) (* 1/3 (* B x))) |
(* 1/3 (* B x)) |
(* x (+ (* 1/6 (/ B x)) (* 1/3 B))) |
(* x (+ (* 1/6 (/ B x)) (* 1/3 B))) |
(* x (+ (* 1/6 (/ B x)) (* 1/3 B))) |
(* 1/3 (* B x)) |
(* -1 (* x (+ (* -1/3 B) (* -1/6 (/ B x))))) |
(* -1 (* x (+ (* -1/3 B) (* -1/6 (/ B x))))) |
(* -1 (* x (+ (* -1/3 B) (* -1/6 (/ B 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)))) |
(/ (- 1 x) B) |
(/ (- (+ 1 (* 1/3 (* (pow B 2) x))) x) B) |
(/ (- (+ 1 (* 1/3 (* (pow B 2) x))) x) B) |
(/ (- (+ 1 (* 1/3 (* (pow B 2) x))) x) B) |
(* 1/3 (* B x)) |
(* B (- (+ (* 1/3 x) (/ 1 (pow B 2))) (/ x (pow B 2)))) |
(* B (- (+ (* 1/3 x) (/ 1 (pow B 2))) (/ x (pow B 2)))) |
(* B (- (+ (* 1/3 x) (/ 1 (pow B 2))) (/ x (pow B 2)))) |
(* 1/3 (* B x)) |
(* -1 (* B (+ (* -1 (/ (- 1 x) (pow B 2))) (* -1/3 x)))) |
(* -1 (* B (+ (* -1 (/ (- 1 x) (pow B 2))) (* -1/3 x)))) |
(* -1 (* B (+ (* -1 (/ (- 1 x) (pow B 2))) (* -1/3 x)))) |
(/ 1 B) |
(+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B)) |
(+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B)) |
(+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B)) |
(/ (* x (- (* 1/3 (pow B 2)) 1)) B) |
(* x (- (+ (* 1/3 B) (/ 1 (* B x))) (/ 1 B))) |
(* x (- (+ (* 1/3 B) (/ 1 (* B x))) (/ 1 B))) |
(* x (- (+ (* 1/3 B) (/ 1 (* B x))) (/ 1 B))) |
(* -1 (/ (* x (+ 1 (* -1/3 (pow B 2)))) B)) |
(* -1 (* x (- (+ (* -1/3 B) (/ 1 B)) (/ 1 (* B x))))) |
(* -1 (* x (- (+ (* -1/3 B) (/ 1 B)) (/ 1 (* B x))))) |
(* -1 (* x (- (+ (* -1/3 B) (/ 1 B)) (/ 1 (* B x))))) |
(- 1 x) |
(- (+ 1 (* 1/3 (* (pow B 2) x))) x) |
(- (+ 1 (* 1/3 (* (pow B 2) x))) x) |
(- (+ 1 (* 1/3 (* (pow B 2) x))) x) |
(* 1/3 (* (pow B 2) x)) |
(* (pow B 2) (- (+ (* 1/3 x) (/ 1 (pow B 2))) (/ x (pow B 2)))) |
(* (pow B 2) (- (+ (* 1/3 x) (/ 1 (pow B 2))) (/ x (pow B 2)))) |
(* (pow B 2) (- (+ (* 1/3 x) (/ 1 (pow B 2))) (/ x (pow B 2)))) |
(* 1/3 (* (pow B 2) x)) |
(* (pow B 2) (- (+ (* 1/3 x) (/ 1 (pow B 2))) (/ x (pow B 2)))) |
(* (pow B 2) (- (+ (* 1/3 x) (/ 1 (pow B 2))) (/ x (pow B 2)))) |
(* (pow B 2) (- (+ (* 1/3 x) (/ 1 (pow B 2))) (/ x (pow B 2)))) |
1 |
(+ 1 (* x (- (* 1/3 (pow B 2)) 1))) |
(+ 1 (* x (- (* 1/3 (pow B 2)) 1))) |
(+ 1 (* x (- (* 1/3 (pow B 2)) 1))) |
(* x (- (* 1/3 (pow B 2)) 1)) |
(* x (- (+ (* 1/3 (pow B 2)) (/ 1 x)) 1)) |
(* x (- (+ (* 1/3 (pow B 2)) (/ 1 x)) 1)) |
(* x (- (+ (* 1/3 (pow B 2)) (/ 1 x)) 1)) |
(* -1 (* x (+ 1 (* -1/3 (pow B 2))))) |
(* -1 (* x (- (+ 1 (* -1/3 (pow B 2))) (/ 1 x)))) |
(* -1 (* x (- (+ 1 (* -1/3 (pow B 2))) (/ 1 x)))) |
(* -1 (* x (- (+ 1 (* -1/3 (pow B 2))) (/ 1 x)))) |
1 |
(+ 1 (* 1/3 (* (pow B 2) x))) |
(+ 1 (* 1/3 (* (pow B 2) x))) |
(+ 1 (* 1/3 (* (pow B 2) x))) |
(* 1/3 (* (pow B 2) x)) |
(* (pow B 2) (+ (* 1/3 x) (/ 1 (pow B 2)))) |
(* (pow B 2) (+ (* 1/3 x) (/ 1 (pow B 2)))) |
(* (pow B 2) (+ (* 1/3 x) (/ 1 (pow B 2)))) |
(* 1/3 (* (pow B 2) x)) |
(* (pow B 2) (+ (* 1/3 x) (/ 1 (pow B 2)))) |
(* (pow B 2) (+ (* 1/3 x) (/ 1 (pow B 2)))) |
(* (pow B 2) (+ (* 1/3 x) (/ 1 (pow B 2)))) |
1 |
(+ 1 (* 1/3 (* (pow B 2) x))) |
(+ 1 (* 1/3 (* (pow B 2) x))) |
(+ 1 (* 1/3 (* (pow B 2) x))) |
(* 1/3 (* (pow B 2) x)) |
(* x (+ (* 1/3 (pow B 2)) (/ 1 x))) |
(* x (+ (* 1/3 (pow B 2)) (/ 1 x))) |
(* x (+ (* 1/3 (pow B 2)) (/ 1 x))) |
(* 1/3 (* (pow B 2) x)) |
(* -1 (* x (- (* -1/3 (pow B 2)) (/ 1 x)))) |
(* -1 (* x (- (* -1/3 (pow B 2)) (/ 1 x)))) |
(* -1 (* x (- (* -1/3 (pow B 2)) (/ 1 x)))) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(pow B 2) |
(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 (* 1/6 (pow B 2))) |
(+ 1 (+ (* 1/6 (pow B 2)) (* 1/3 (* (pow B 2) x)))) |
(+ 1 (+ (* 1/6 (pow B 2)) (* 1/3 (* (pow B 2) x)))) |
(+ 1 (+ (* 1/6 (pow B 2)) (* 1/3 (* (pow B 2) x)))) |
(* 1/3 (* (pow B 2) x)) |
(* x (+ (* 1/6 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x)))) |
(* x (+ (* 1/6 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x)))) |
(* x (+ (* 1/6 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x)))) |
(* 1/3 (* (pow B 2) x)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2))))) |
1 |
(+ 1 (* (pow B 2) (* x (+ 1/3 (* 1/6 (/ 1 x)))))) |
(+ 1 (* (pow B 2) (* x (+ 1/3 (* 1/6 (/ 1 x)))))) |
(+ 1 (* (pow B 2) (* x (+ 1/3 (* 1/6 (/ 1 x)))))) |
(* (pow B 2) (* x (+ 1/3 (* 1/6 (/ 1 x))))) |
(* (pow B 2) (+ (* x (+ 1/3 (* 1/6 (/ 1 x)))) (/ 1 (pow B 2)))) |
(* (pow B 2) (+ (* x (+ 1/3 (* 1/6 (/ 1 x)))) (/ 1 (pow B 2)))) |
(* (pow B 2) (+ (* x (+ 1/3 (* 1/6 (/ 1 x)))) (/ 1 (pow B 2)))) |
(* (pow B 2) (* x (+ 1/3 (* 1/6 (/ 1 x))))) |
(* (pow B 2) (+ (* x (+ 1/3 (* 1/6 (/ 1 x)))) (/ 1 (pow B 2)))) |
(* (pow B 2) (+ (* x (+ 1/3 (* 1/6 (/ 1 x)))) (/ 1 (pow B 2)))) |
(* (pow B 2) (+ (* x (+ 1/3 (* 1/6 (/ 1 x)))) (/ 1 (pow B 2)))) |
(/ (+ 1 (* 1/6 (pow B 2))) B) |
(+ (* 1/6 B) (+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B))) |
(+ (* 1/6 B) (+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B))) |
(+ (* 1/6 B) (+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B))) |
(/ (* x (- (* 1/3 (pow B 2)) 1)) B) |
(* x (- (+ (* 1/6 (/ B x)) (+ (* 1/3 B) (/ 1 (* B x)))) (/ 1 B))) |
(* x (- (+ (* 1/6 (/ B x)) (+ (* 1/3 B) (/ 1 (* B x)))) (/ 1 B))) |
(* x (- (+ (* 1/6 (/ B x)) (+ (* 1/3 B) (/ 1 (* B x)))) (/ 1 B))) |
(* -1 (/ (* x (+ 1 (* -1/3 (pow B 2)))) B)) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/6 B) (/ 1 B)) x)) (+ (* -1/3 B) (/ 1 B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/6 B) (/ 1 B)) x)) (+ (* -1/3 B) (/ 1 B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/6 B) (/ 1 B)) x)) (+ (* -1/3 B) (/ 1 B))))) |
(/ (- 1 x) B) |
(/ (- (+ 1 (* (pow B 2) (* x (+ 1/3 (* 1/6 (/ 1 x)))))) x) B) |
(/ (- (+ 1 (* (pow B 2) (* x (+ 1/3 (* 1/6 (/ 1 x)))))) x) B) |
(/ (- (+ 1 (* (pow B 2) (* x (+ 1/3 (* 1/6 (/ 1 x)))))) x) B) |
(* B (* x (+ 1/3 (* 1/6 (/ 1 x))))) |
(* B (- (+ (* x (+ 1/3 (* 1/6 (/ 1 x)))) (/ 1 (pow B 2))) (/ x (pow B 2)))) |
(* B (- (+ (* x (+ 1/3 (* 1/6 (/ 1 x)))) (/ 1 (pow B 2))) (/ x (pow B 2)))) |
(* B (- (+ (* x (+ 1/3 (* 1/6 (/ 1 x)))) (/ 1 (pow B 2))) (/ x (pow B 2)))) |
(* B (* x (+ 1/3 (* 1/6 (/ 1 x))))) |
(* -1 (* B (+ (* -1 (* x (+ 1/3 (* 1/6 (/ 1 x))))) (* -1 (/ (- 1 x) (pow B 2)))))) |
(* -1 (* B (+ (* -1 (* x (+ 1/3 (* 1/6 (/ 1 x))))) (* -1 (/ (- 1 x) (pow B 2)))))) |
(* -1 (* B (+ (* -1 (* x (+ 1/3 (* 1/6 (/ 1 x))))) (* -1 (/ (- 1 x) (pow B 2)))))) |
(+ 1 (* 1/6 (pow B 2))) |
(+ 1 (+ (* 1/6 (pow B 2)) (* x (- (* 1/3 (pow B 2)) 1)))) |
(+ 1 (+ (* 1/6 (pow B 2)) (* x (- (* 1/3 (pow B 2)) 1)))) |
(+ 1 (+ (* 1/6 (pow B 2)) (* x (- (* 1/3 (pow B 2)) 1)))) |
(* x (- (* 1/3 (pow B 2)) 1)) |
(* x (- (+ (* 1/6 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x))) 1)) |
(* x (- (+ (* 1/6 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x))) 1)) |
(* x (- (+ (* 1/6 (/ (pow B 2) x)) (+ (* 1/3 (pow B 2)) (/ 1 x))) 1)) |
(* -1 (* x (+ 1 (* -1/3 (pow B 2))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2)))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2)))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* 1/6 (pow B 2))) x)) (* -1/3 (pow B 2)))))) |
(- 1 x) |
(- (+ 1 (* (pow B 2) (* x (+ 1/3 (* 1/6 (/ 1 x)))))) x) |
(- (+ 1 (* (pow B 2) (* x (+ 1/3 (* 1/6 (/ 1 x)))))) x) |
(- (+ 1 (* (pow B 2) (* x (+ 1/3 (* 1/6 (/ 1 x)))))) x) |
(* (pow B 2) (* x (+ 1/3 (* 1/6 (/ 1 x))))) |
(* (pow B 2) (- (+ (* x (+ 1/3 (* 1/6 (/ 1 x)))) (/ 1 (pow B 2))) (/ x (pow B 2)))) |
(* (pow B 2) (- (+ (* x (+ 1/3 (* 1/6 (/ 1 x)))) (/ 1 (pow B 2))) (/ x (pow B 2)))) |
(* (pow B 2) (- (+ (* x (+ 1/3 (* 1/6 (/ 1 x)))) (/ 1 (pow B 2))) (/ x (pow B 2)))) |
(* (pow B 2) (* x (+ 1/3 (* 1/6 (/ 1 x))))) |
(* (pow B 2) (- (+ (* x (+ 1/3 (* 1/6 (/ 1 x)))) (/ 1 (pow B 2))) (/ x (pow B 2)))) |
(* (pow B 2) (- (+ (* x (+ 1/3 (* 1/6 (/ 1 x)))) (/ 1 (pow B 2))) (/ x (pow B 2)))) |
(* (pow B 2) (- (+ (* x (+ 1/3 (* 1/6 (/ 1 x)))) (/ 1 (pow B 2))) (/ x (pow B 2)))) |
(* (pow B 2) (+ 1/3 (* 1/6 (/ 1 x)))) |
(* (pow B 2) (+ 1/3 (* 1/6 (/ 1 x)))) |
(* (pow B 2) (+ 1/3 (* 1/6 (/ 1 x)))) |
(* (pow B 2) (+ 1/3 (* 1/6 (/ 1 x)))) |
(* (pow B 2) (+ 1/3 (* 1/6 (/ 1 x)))) |
(* (pow B 2) (+ 1/3 (* 1/6 (/ 1 x)))) |
(* (pow B 2) (+ 1/3 (* 1/6 (/ 1 x)))) |
(* (pow B 2) (+ 1/3 (* 1/6 (/ 1 x)))) |
(* (pow B 2) (+ 1/3 (* 1/6 (/ 1 x)))) |
(* (pow B 2) (+ 1/3 (* 1/6 (/ 1 x)))) |
(* (pow B 2) (+ 1/3 (* 1/6 (/ 1 x)))) |
(* (pow B 2) (+ 1/3 (* 1/6 (/ 1 x)))) |
(* 1/6 (/ (pow B 2) x)) |
(/ (+ (* 1/6 (pow B 2)) (* 1/3 (* (pow B 2) x))) x) |
(/ (+ (* 1/6 (pow B 2)) (* 1/3 (* (pow B 2) x))) x) |
(/ (+ (* 1/6 (pow B 2)) (* 1/3 (* (pow B 2) x))) x) |
(* 1/3 (pow B 2)) |
(+ (* 1/6 (/ (pow B 2) x)) (* 1/3 (pow B 2))) |
(+ (* 1/6 (/ (pow B 2) x)) (* 1/3 (pow B 2))) |
(+ (* 1/6 (/ (pow B 2) x)) (* 1/3 (pow B 2))) |
(* 1/3 (pow B 2)) |
(+ (* 1/6 (/ (pow B 2) x)) (* 1/3 (pow B 2))) |
(+ (* 1/6 (/ (pow B 2) x)) (* 1/3 (pow B 2))) |
(+ (* 1/6 (/ (pow B 2) x)) (* 1/3 (pow B 2))) |
(/ 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) |
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))) |
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))) |
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))) |
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))) |
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))) |
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))) |
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))) |
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))) |
(/ 1 (pow B 2)) |
(/ (+ 1 (* 1/3 (pow B 2))) (pow B 2)) |
(/ (+ 1 (* (pow B 2) (+ 1/3 (* 1/15 (pow B 2))))) (pow B 2)) |
(/ (+ 1 (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/15 (* 2/189 (pow B 2))))))) (pow B 2)) |
(/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))) |
(/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))) |
(/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))) |
(/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))) |
(/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))) |
(/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))) |
(/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))) |
(/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))) |
(pow B 2) |
(* (pow B 2) (+ 1 (* -1/3 (pow B 2)))) |
(* (pow B 2) (+ 1 (* (pow B 2) (- (* 2/45 (pow B 2)) 1/3)))) |
(* (pow B 2) (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 2/45 (* -1/315 (pow B 2)))) 1/3)))) |
(+ 1/2 (* -1/2 (cos (* -2 B)))) |
(+ 1/2 (* -1/2 (cos (* -2 B)))) |
(+ 1/2 (* -1/2 (cos (* -2 B)))) |
(+ 1/2 (* -1/2 (cos (* -2 B)))) |
(+ 1/2 (* -1/2 (cos (* -2 B)))) |
(+ 1/2 (* -1/2 (cos (* -2 B)))) |
(+ 1/2 (* -1/2 (cos (* -2 B)))) |
(+ 1/2 (* -1/2 (cos (* -2 B)))) |
1 |
(+ 1 (* -2 (pow B 2))) |
(+ 1 (* (pow B 2) (- (* 2/3 (pow B 2)) 2))) |
(+ 1 (* (pow B 2) (- (* (pow B 2) (+ 2/3 (* -4/45 (pow B 2)))) 2))) |
(cos (* -2 B)) |
(cos (* -2 B)) |
(cos (* -2 B)) |
(cos (* -2 B)) |
(cos (* -2 B)) |
(cos (* -2 B)) |
(cos (* -2 B)) |
(cos (* -2 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)) |
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) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(/ 1/6 x) |
(/ 1/6 x) |
(/ 1/6 x) |
(/ 1/6 x) |
(/ 1/6 x) |
(/ 1/6 x) |
(/ 1/6 x) |
(/ 1/6 x) |
(/ 1/6 x) |
(/ 1/6 x) |
(/ 1/6 x) |
(/ 1/6 x) |
| Outputs |
|---|
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.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 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.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 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/ (+ 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 (-.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 (+ (* -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 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/24 binary64) (fma.f64 x #s(literal 23/360 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64))) #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 (-.f64 (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (+.f64 #s(literal 31/15120 binary64) (fma.f64 x #s(literal 1/720 binary64) (fma.f64 #s(literal -1/6 binary64) (fma.f64 x #s(literal -1/120 binary64) (*.f64 x #s(literal -1/72 binary64))) (*.f64 x #s(literal -1/336 binary64))))) (fma.f64 x #s(literal -1/24 binary64) (fma.f64 x #s(literal 23/360 binary64) #s(literal 7/360 binary64)))) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) x) B) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (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 B (*.f64 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 B (*.f64 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 B (*.f64 B (fma.f64 x #s(literal 1/6 binary64) (neg.f64 (*.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (*.f64 x #s(literal -31/15120 binary64)) (*.f64 x #s(literal -7/360 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 B (*.f64 B #s(literal -1/6 binary64))) B) |
(* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6)))) |
(fma.f64 B (*.f64 B (*.f64 B (fma.f64 (*.f64 B 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 (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 |
#s(literal -1 binary64) |
(- (* 1/2 (pow B 2)) 1) |
(fma.f64 (*.f64 B B) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(- (* (pow B 2) (+ 1/2 (* -1/24 (pow B 2)))) 1) |
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(- (* (pow B 2) (+ 1/2 (* (pow B 2) (- (* 1/720 (pow B 2)) 1/24)))) 1) |
(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)) |
(* -1 (cos B)) |
(neg.f64 (cos.f64 B)) |
(* -1 (cos B)) |
(neg.f64 (cos.f64 B)) |
(* -1 (cos B)) |
(neg.f64 (cos.f64 B)) |
(* -1 (cos B)) |
(neg.f64 (cos.f64 B)) |
(* -1 (cos B)) |
(neg.f64 (cos.f64 B)) |
(* -1 (cos B)) |
(neg.f64 (cos.f64 B)) |
(* -1 (cos B)) |
(neg.f64 (cos.f64 B)) |
(* -1 (cos B)) |
(neg.f64 (cos.f64 B)) |
(* B (+ 1/6 (* 1/3 x))) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
(* B (+ 1/6 (* 1/3 x))) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
(* B (+ 1/6 (* 1/3 x))) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
(* B (+ 1/6 (* 1/3 x))) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
(* B (+ 1/6 (* 1/3 x))) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
(* B (+ 1/6 (* 1/3 x))) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
(* B (+ 1/6 (* 1/3 x))) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
(* B (+ 1/6 (* 1/3 x))) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
(* B (+ 1/6 (* 1/3 x))) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
(* B (+ 1/6 (* 1/3 x))) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
(* B (+ 1/6 (* 1/3 x))) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
(* B (+ 1/6 (* 1/3 x))) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
(* 1/6 B) |
(*.f64 B #s(literal 1/6 binary64)) |
(+ (* 1/6 B) (* 1/3 (* B x))) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
(+ (* 1/6 B) (* 1/3 (* B x))) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
(+ (* 1/6 B) (* 1/3 (* B x))) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
(* 1/3 (* B x)) |
(*.f64 B (*.f64 x #s(literal 1/3 binary64))) |
(* x (+ (* 1/6 (/ B x)) (* 1/3 B))) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
(* x (+ (* 1/6 (/ B x)) (* 1/3 B))) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
(* x (+ (* 1/6 (/ B x)) (* 1/3 B))) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
(* 1/3 (* B x)) |
(*.f64 B (*.f64 x #s(literal 1/3 binary64))) |
(* -1 (* x (+ (* -1/3 B) (* -1/6 (/ B x))))) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
(* -1 (* x (+ (* -1/3 B) (* -1/6 (/ B x))))) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
(* -1 (* x (+ (* -1/3 B) (* -1/6 (/ B x))))) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 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)) |
(/ (- 1 x) B) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(/ (- (+ 1 (* 1/3 (* (pow B 2) x))) x) B) |
(/.f64 (fma.f64 x (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) B) |
(/ (- (+ 1 (* 1/3 (* (pow B 2) x))) x) B) |
(/.f64 (fma.f64 x (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) B) |
(/ (- (+ 1 (* 1/3 (* (pow B 2) x))) x) B) |
(/.f64 (fma.f64 x (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) B) |
(* 1/3 (* B x)) |
(*.f64 B (*.f64 x #s(literal 1/3 binary64))) |
(* B (- (+ (* 1/3 x) (/ 1 (pow B 2))) (/ x (pow B 2)))) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 B B)))) |
(* B (- (+ (* 1/3 x) (/ 1 (pow B 2))) (/ x (pow B 2)))) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 B B)))) |
(* B (- (+ (* 1/3 x) (/ 1 (pow B 2))) (/ x (pow B 2)))) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 B B)))) |
(* 1/3 (* B x)) |
(*.f64 B (*.f64 x #s(literal 1/3 binary64))) |
(* -1 (* B (+ (* -1 (/ (- 1 x) (pow B 2))) (* -1/3 x)))) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 B B)))) |
(* -1 (* B (+ (* -1 (/ (- 1 x) (pow B 2))) (* -1/3 x)))) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 B B)))) |
(* -1 (* B (+ (* -1 (/ (- 1 x) (pow B 2))) (* -1/3 x)))) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 B B)))) |
(/ 1 B) |
(/.f64 #s(literal 1 binary64) B) |
(+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B)) |
(fma.f64 B (*.f64 x #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
(+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B)) |
(fma.f64 B (*.f64 x #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
(+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 B)) |
(fma.f64 B (*.f64 x #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
(/ (* x (- (* 1/3 (pow B 2)) 1)) B) |
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(/.f64 #s(literal 1/6 binary64) x) |
(/ 1/6 x) |
(/.f64 #s(literal 1/6 binary64) x) |
(/ 1/6 x) |
(/.f64 #s(literal 1/6 binary64) x) |
(/ 1/6 x) |
(/.f64 #s(literal 1/6 binary64) x) |
(/ 1/6 x) |
(/.f64 #s(literal 1/6 binary64) x) |
(/ 1/6 x) |
(/.f64 #s(literal 1/6 binary64) x) |
(/ 1/6 x) |
(/.f64 #s(literal 1/6 binary64) x) |
Compiled 27 786 to 2 705 computations (90.3% saved)
57 alts after pruning (51 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 114 | 21 | 1 135 |
| Fresh | 9 | 30 | 39 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 126 | 57 | 1 183 |
| Status | Accuracy | Program |
|---|---|---|
| 75.9% | (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) B)) | |
| 32.9% | (fma.f64 (*.f64 (*.f64 B #s(literal 1/45 binary64)) (*.f64 B x)) B (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| 2.7% | (fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (*.f64 B #s(literal 1/6 binary64))) | |
| 58.0% | (fma.f64 x (fma.f64 B (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| 42.2% | (fma.f64 x (fma.f64 B #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 B x))) (/.f64 x (neg.f64 B))) | |
| 55.4% | (fma.f64 B (*.f64 x #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) | |
| 19.2% | (pow.f64 (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) | |
| 41.0% | (pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 55.1% | (/.f64 (fma.f64 (*.f64 x (*.f64 B B)) #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) x)) B) | |
| 55.1% | (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) B) B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) | |
| 30.3% | (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B) | |
| 38.1% | (/.f64 (fma.f64 x (sin.f64 B) (tan.f64 B)) (*.f64 (tan.f64 B) (sin.f64 B))) | |
| 30.0% | (/.f64 (fma.f64 B (*.f64 B (fma.f64 B (*.f64 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) | |
| 30.1% | (/.f64 (fma.f64 B (*.f64 B (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) | |
| 31.0% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))) B) | |
| 50.8% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B) | |
| 11.2% | (/.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) B) | |
| 49.8% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64))) (*.f64 (+.f64 x (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64))) (-.f64 (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64)) x)))) B) | |
| 55.2% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) B) | |
| 55.3% | (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) B #s(literal 1 binary64)) x) B) | |
| 18.3% | (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (/.f64 (*.f64 x x) (*.f64 B B))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B))) | |
| 39.5% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) (*.f64 (/.f64 B (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 B (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64))) (/.f64 B x))) | |
| 38.8% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 (/.f64 B (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64))) x)) (*.f64 (/.f64 B (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64))) B)) | |
| 38.6% | (/.f64 (-.f64 B (*.f64 B x)) (*.f64 B B)) | |
| 99.8% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) | |
| ✓ | 55.2% | (/.f64 (-.f64 #s(literal 1 binary64) x) B) |
| 2.6% | (/.f64 (*.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1/36 binary64)) B) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64))) | |
| 50.7% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) B) | |
| 26.9% | (/.f64 (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64))) B) | |
| 2.4% | (/.f64 (*.f64 x (*.f64 B (*.f64 B #s(literal 1/3 binary64)))) B) | |
| 47.7% | (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) | |
| 26.9% | (/.f64 (neg.f64 x) B) | |
| 30.2% | (/.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)) | |
| 30.2% | (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B)) | |
| 30.2% | (/.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B)) | |
| 55.2% | (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64)) x))) | |
| 75.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B))))) | |
| 19.2% | (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) | |
| ✓ | 53.0% | (/.f64 #s(literal 1 binary64) (sin.f64 B)) |
| ✓ | 30.1% | (/.f64 #s(literal 1 binary64) B) |
| ✓ | 99.8% | (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| 76.0% | (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B))) | |
| 99.7% | (+.f64 (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| 57.4% | (+.f64 (neg.f64 (*.f64 x (/.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))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| 52.4% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)))) | |
| 75.9% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) B)) | |
| 55.2% | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64)) x)) | |
| 55.2% | (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x)) | |
| 19.2% | (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) | |
| 26.8% | (*.f64 x (fma.f64 B (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) B))) | |
| 2.3% | (*.f64 x (*.f64 B (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))) | |
| 34.2% | (*.f64 B (fma.f64 x #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 B B)))) | |
| ✓ | 2.7% | (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
| 2.5% | (*.f64 B (*.f64 x #s(literal 1/3 binary64))) | |
| 3.0% | (*.f64 B #s(literal 1/6 binary64)) | |
| 19.3% | (sqrt.f64 (/.f64 (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (*.f64 B B))) | |
| ✓ | 19.2% | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
Compiled 2 065 to 835 computations (59.6% saved)
| Inputs |
|---|
(*.f64 B #s(literal 1/6 binary64)) |
(*.f64 B (*.f64 x #s(literal 1/3 binary64))) |
(*.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) |
(fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (*.f64 B #s(literal 1/6 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1/45 binary64) (*.f64 B (*.f64 x (*.f64 B B)))) |
(*.f64 x (*.f64 B (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))) |
(/.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) B) |
(/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B) |
(/.f64 (-.f64 B (*.f64 B x)) (*.f64 B B)) |
(fma.f64 B (*.f64 x #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
(/.f64 (*.f64 x (*.f64 B (*.f64 B #s(literal 1/3 binary64)))) B) |
(/.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B)) |
(/.f64 (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64))) B) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 B (+.f64 #s(literal 1 binary64) x))) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 B B)))) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) x) B) |
(/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) B #s(literal 1 binary64)) x) B) |
(/.f64 (fma.f64 (*.f64 x (*.f64 B B)) #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) 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) |
(fma.f64 B #s(literal 1/6 binary64) (fma.f64 x (*.f64 B #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))) |
(*.f64 x (fma.f64 B (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) B))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1/36 binary64)) B) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (fma.f64 B (*.f64 B (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64)) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) B) |
(sqrt.f64 (/.f64 (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (*.f64 B B))) |
(*.f64 B (fma.f64 #s(literal 1/3 binary64) (/.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 B B) #s(literal 1/45 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) B) |
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64)) x))) |
(fma.f64 x (fma.f64 B #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 B x))) (/.f64 x (neg.f64 B))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) B) |
(/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))) #s(literal 1 binary64)) x) B) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) B) |
(/.f64 (fma.f64 B (*.f64 B (fma.f64 B (*.f64 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) |
(/.f64 (fma.f64 B (*.f64 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) |
(/.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) |
(/.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)) |
(fma.f64 x (fma.f64 B (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x B))) (/.f64 x (neg.f64 B))) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (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))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) B) B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 B B) (*.f64 (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))) x) B) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 (/.f64 B (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64))) x)) (*.f64 (/.f64 B (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64))) B)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (/.f64 (*.f64 x x) (*.f64 B B))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64))) (*.f64 (+.f64 x (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64))) (-.f64 (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64)) x)))) B) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) (*.f64 (/.f64 B (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 B (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64))) (/.f64 B x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))) B) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) (*.f64 (/.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (/.f64 B x))) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B))) |
(+.f64 (/.f64 x (neg.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) B)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (*.f64 B #s(literal 1/45 binary64)) (*.f64 B x)) B (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 B (*.f64 x (*.f64 B B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+.f64 (fma.f64 x (*.f64 B #s(literal 1/3 binary64)) (/.f64 x (neg.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 x (fma.f64 B (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B))))) |
(+.f64 (fma.f64 B (*.f64 (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (/.f64 x (neg.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.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))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(pow.f64 (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (cos.f64 B) #s(literal 1 binary64)) (sin.f64 B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64))) |
(+.f64 (neg.f64 (/.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)))) |
(/.f64 (fma.f64 x (sin.f64 B) (tan.f64 B)) (*.f64 (tan.f64 B) (sin.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) (*.f64 (tan.f64 B) (sin.f64 B))) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
3 calls:
| 26.0ms | x |
| 23.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 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 |
|---|
(*.f64 B #s(literal 1/6 binary64)) |
(*.f64 B (*.f64 x #s(literal 1/3 binary64))) |
(*.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) |
(fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (*.f64 B #s(literal 1/6 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1/45 binary64) (*.f64 B (*.f64 x (*.f64 B B)))) |
(*.f64 x (*.f64 B (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))) |
(/.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) B) |
(/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B) |
(/.f64 (-.f64 B (*.f64 B x)) (*.f64 B B)) |
(fma.f64 B (*.f64 x #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
(/.f64 (*.f64 x (*.f64 B (*.f64 B #s(literal 1/3 binary64)))) B) |
(/.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B)) |
(/.f64 (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64))) B) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 B (+.f64 #s(literal 1 binary64) x))) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 B B)))) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) x) B) |
(/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) B #s(literal 1 binary64)) x) B) |
(/.f64 (fma.f64 (*.f64 x (*.f64 B B)) #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) 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) |
(fma.f64 B #s(literal 1/6 binary64) (fma.f64 x (*.f64 B #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))) |
(*.f64 x (fma.f64 B (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) B))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1/36 binary64)) B) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (fma.f64 B (*.f64 B (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64)) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) B) |
(sqrt.f64 (/.f64 (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (*.f64 B B))) |
(*.f64 B (fma.f64 #s(literal 1/3 binary64) (/.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 B B) #s(literal 1/45 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) B) |
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64)) x))) |
(fma.f64 x (fma.f64 B #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 B x))) (/.f64 x (neg.f64 B))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) B) |
(/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))) #s(literal 1 binary64)) x) B) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) B) |
(/.f64 (fma.f64 B (*.f64 B (fma.f64 B (*.f64 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) |
(/.f64 (fma.f64 B (*.f64 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) |
(/.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) |
(/.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)) |
(fma.f64 x (fma.f64 B (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x B))) (/.f64 x (neg.f64 B))) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (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))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) B) B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 B B) (*.f64 (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))) x) B) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 (/.f64 B (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64))) x)) (*.f64 (/.f64 B (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64))) B)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (/.f64 (*.f64 x x) (*.f64 B B))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64))) (*.f64 (+.f64 x (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64))) (-.f64 (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64)) x)))) B) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) (*.f64 (/.f64 B (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 B (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64))) (/.f64 B x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))) B) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) (*.f64 (/.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (/.f64 B x))) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B))) |
(+.f64 (/.f64 x (neg.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) B)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (*.f64 B #s(literal 1/45 binary64)) (*.f64 B x)) B (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 B (*.f64 x (*.f64 B B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+.f64 (fma.f64 x (*.f64 B #s(literal 1/3 binary64)) (/.f64 x (neg.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 x (fma.f64 B (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B))))) |
(+.f64 (fma.f64 B (*.f64 (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (/.f64 x (neg.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.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))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(pow.f64 (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (cos.f64 B) #s(literal 1 binary64)) (sin.f64 B))) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
3 calls:
| 23.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 20.0ms | x |
| 20.0ms | 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 |
|---|
(*.f64 B #s(literal 1/6 binary64)) |
(*.f64 B (*.f64 x #s(literal 1/3 binary64))) |
(*.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) |
(fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (*.f64 B #s(literal 1/6 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1/45 binary64) (*.f64 B (*.f64 x (*.f64 B B)))) |
(*.f64 x (*.f64 B (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))) |
(/.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) B) |
(/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B) |
(/.f64 (-.f64 B (*.f64 B x)) (*.f64 B B)) |
(fma.f64 B (*.f64 x #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
(/.f64 (*.f64 x (*.f64 B (*.f64 B #s(literal 1/3 binary64)))) B) |
(/.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B)) |
(/.f64 (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64))) B) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 B (+.f64 #s(literal 1 binary64) x))) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 B B)))) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) x) B) |
(/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) B #s(literal 1 binary64)) x) B) |
(/.f64 (fma.f64 (*.f64 x (*.f64 B B)) #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) 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) |
(fma.f64 B #s(literal 1/6 binary64) (fma.f64 x (*.f64 B #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))) |
(*.f64 x (fma.f64 B (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) B))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1/36 binary64)) B) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (fma.f64 B (*.f64 B (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64)) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) B) |
(sqrt.f64 (/.f64 (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (*.f64 B B))) |
(*.f64 B (fma.f64 #s(literal 1/3 binary64) (/.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 B B) #s(literal 1/45 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) B) |
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64)) x))) |
(fma.f64 x (fma.f64 B #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 B x))) (/.f64 x (neg.f64 B))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) B) |
(/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))) #s(literal 1 binary64)) x) B) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) B) |
(/.f64 (fma.f64 B (*.f64 B (fma.f64 B (*.f64 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) |
(/.f64 (fma.f64 B (*.f64 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) |
(/.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) |
(/.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)) |
(fma.f64 x (fma.f64 B (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x B))) (/.f64 x (neg.f64 B))) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (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))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) B) B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 B B) (*.f64 (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))) x) B) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 (/.f64 B (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64))) x)) (*.f64 (/.f64 B (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64))) B)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (/.f64 (*.f64 x x) (*.f64 B B))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64))) (*.f64 (+.f64 x (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64))) (-.f64 (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64)) x)))) B) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) (*.f64 (/.f64 B (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 B (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64))) (/.f64 B x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))) B) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) (*.f64 (/.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (/.f64 B x))) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B))) |
(+.f64 (/.f64 x (neg.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) B)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (*.f64 B #s(literal 1/45 binary64)) (*.f64 B x)) B (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 B (*.f64 x (*.f64 B B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+.f64 (fma.f64 x (*.f64 B #s(literal 1/3 binary64)) (/.f64 x (neg.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 x (fma.f64 B (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B))))) |
(+.f64 (fma.f64 B (*.f64 (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (/.f64 x (neg.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.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))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(pow.f64 (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B))) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B))) |
3 calls:
| 47.0ms | x |
| 44.0ms | B |
| 19.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.1% | 3 | B |
| 98.5% | 3 | x |
| 98.5% | 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 |
|---|
(*.f64 B #s(literal 1/6 binary64)) |
(*.f64 B (*.f64 x #s(literal 1/3 binary64))) |
(*.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) |
(fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (*.f64 B #s(literal 1/6 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1/45 binary64) (*.f64 B (*.f64 x (*.f64 B B)))) |
(*.f64 x (*.f64 B (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))) |
(/.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) B) |
(/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B) |
(/.f64 (-.f64 B (*.f64 B x)) (*.f64 B B)) |
(fma.f64 B (*.f64 x #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
(/.f64 (*.f64 x (*.f64 B (*.f64 B #s(literal 1/3 binary64)))) B) |
(/.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B)) |
(/.f64 (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64))) B) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 B (+.f64 #s(literal 1 binary64) x))) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 B B)))) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) x) B) |
(/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) B #s(literal 1 binary64)) x) B) |
(/.f64 (fma.f64 (*.f64 x (*.f64 B B)) #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) 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) |
(fma.f64 B #s(literal 1/6 binary64) (fma.f64 x (*.f64 B #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))) |
(*.f64 x (fma.f64 B (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) B))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1/36 binary64)) B) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (fma.f64 B (*.f64 B (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64)) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) B) |
(sqrt.f64 (/.f64 (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (*.f64 B B))) |
(*.f64 B (fma.f64 #s(literal 1/3 binary64) (/.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 B B) #s(literal 1/45 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) B) |
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64)) x))) |
(fma.f64 x (fma.f64 B #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 B x))) (/.f64 x (neg.f64 B))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) B) |
(/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))) #s(literal 1 binary64)) x) B) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) B) |
(/.f64 (fma.f64 B (*.f64 B (fma.f64 B (*.f64 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) |
(/.f64 (fma.f64 B (*.f64 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) |
(/.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) |
(/.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)) |
(fma.f64 x (fma.f64 B (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x B))) (/.f64 x (neg.f64 B))) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (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))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) B) B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 B B) (*.f64 (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))) x) B) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 (/.f64 B (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64))) x)) (*.f64 (/.f64 B (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64))) B)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (/.f64 (*.f64 x x) (*.f64 B B))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64))) (*.f64 (+.f64 x (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64))) (-.f64 (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64)) x)))) B) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) (*.f64 (/.f64 B (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 B (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64))) (/.f64 B x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))) B) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) (*.f64 (/.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (/.f64 B x))) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
| Outputs |
|---|
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (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))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
3 calls:
| 20.0ms | B |
| 16.0ms | x |
| 15.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.1% | 2 | B |
| 77.9% | 3 | x |
| 78.3% | 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 |
|---|
(*.f64 B #s(literal 1/6 binary64)) |
(*.f64 B (*.f64 x #s(literal 1/3 binary64))) |
(*.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) |
(fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (*.f64 B #s(literal 1/6 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1/45 binary64) (*.f64 B (*.f64 x (*.f64 B B)))) |
(*.f64 x (*.f64 B (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))) |
(/.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) B) |
(/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B) |
(/.f64 (-.f64 B (*.f64 B x)) (*.f64 B B)) |
(fma.f64 B (*.f64 x #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
(/.f64 (*.f64 x (*.f64 B (*.f64 B #s(literal 1/3 binary64)))) B) |
(/.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B)) |
(/.f64 (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64))) B) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 B (+.f64 #s(literal 1 binary64) x))) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 B B)))) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) x) B) |
(/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) B #s(literal 1 binary64)) x) B) |
(/.f64 (fma.f64 (*.f64 x (*.f64 B B)) #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) 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) |
(fma.f64 B #s(literal 1/6 binary64) (fma.f64 x (*.f64 B #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) B))) |
(*.f64 x (fma.f64 B (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) B))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1/36 binary64)) B) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (fma.f64 B (*.f64 B (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64)) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) B) |
(sqrt.f64 (/.f64 (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (*.f64 B B))) |
(*.f64 B (fma.f64 #s(literal 1/3 binary64) (/.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 B B) #s(literal 1/45 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) B) |
(/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64)) x))) |
(fma.f64 x (fma.f64 B #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 B x))) (/.f64 x (neg.f64 B))) |
(/.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) B) |
(/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))) #s(literal 1 binary64)) x) B) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) B) |
(/.f64 (fma.f64 B (*.f64 B (fma.f64 B (*.f64 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) |
(/.f64 (fma.f64 B (*.f64 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) |
(/.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) |
(/.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)) |
(fma.f64 x (fma.f64 B (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x B))) (/.f64 x (neg.f64 B))) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (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))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) B) B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 B B) (*.f64 (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))) x) B) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 (/.f64 B (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64))) x)) (*.f64 (/.f64 B (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64))) B)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (/.f64 (*.f64 x x) (*.f64 B B))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64))) (*.f64 (+.f64 x (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64))) (-.f64 (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64)) x)))) B) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) (*.f64 (/.f64 B (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 B (fma.f64 B (*.f64 (*.f64 B #s(literal 1/3 binary64)) x) #s(literal 1 binary64))) (/.f64 B x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))) B) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) (*.f64 (/.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) (/.f64 B x))) |
| Outputs |
|---|
(fma.f64 B (*.f64 x #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
3 calls:
| 16.0ms | x |
| 15.0ms | B |
| 14.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.4% | 1 | x |
| 55.4% | 1 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 55.4% | 1 | B |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
(*.f64 B #s(literal 1/6 binary64)) |
(*.f64 B (*.f64 x #s(literal 1/3 binary64))) |
(*.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) |
(fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (*.f64 B #s(literal 1/6 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1/45 binary64) (*.f64 B (*.f64 x (*.f64 B B)))) |
(*.f64 x (*.f64 B (*.f64 (*.f64 B B) #s(literal 1/45 binary64)))) |
(/.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) B) |
(/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B) |
(/.f64 (-.f64 B (*.f64 B x)) (*.f64 B B)) |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
3 calls:
| 6.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 4.0ms | x |
| 4.0ms | B |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.2% | 1 | x |
| 55.2% | 1 | B |
| 55.2% | 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 |
|---|
(*.f64 B #s(literal 1/6 binary64)) |
(*.f64 B (*.f64 x #s(literal 1/3 binary64))) |
(*.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:
| 5.0ms | (+.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 |
|---|---|---|
| 34.1% | 2 | B |
| 54.2% | 3 | x |
| 49.5% | 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 |
|---|
(*.f64 B #s(literal 1/6 binary64)) |
(*.f64 B (*.f64 x #s(literal 1/3 binary64))) |
(*.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:
| 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 |
|---|---|---|
| 30.1% | 1 | B |
| 30.1% | 1 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 30.1% | 1 | x |
Compiled 20 to 14 computations (30% saved)
Total -0.8b remaining (-1.3%)
Threshold costs -0.8b (-1.3%)
| Inputs |
|---|
(*.f64 B #s(literal 1/6 binary64)) |
(*.f64 B (*.f64 x #s(literal 1/3 binary64))) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
| Outputs |
|---|
(*.f64 B #s(literal 1/6 binary64)) |
3 calls:
| 2.0ms | 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 |
|---|---|---|
| 3.0% | 1 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 3.0% | 1 | x |
| 3.0% | 1 | B |
Compiled 20 to 14 computations (30% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2618.200950000056 | 29860292431677680.0 |
| 0.0ms | -2.427501051586676e+24 | -10.852878072597587 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 0.014685977387075524 | 1.8428900566270652 |
| 8.0ms | 112× | 0 | valid |
Compiled 290 to 197 computations (32.1% saved)
ival-div: 2.0ms (33.5% of total)ival-tan: 2.0ms (33.5% of total)ival-mult: 1.0ms (16.8% of total)ival-sin: 1.0ms (16.8% of total)ival-add: 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 |
|---|---|---|
| 178.0ms | 0.040826478283900305 | 452932.85551587614 |
| 13.0ms | -1.2384583444421006e-9 | -1.5623721726666213e-10 |
| 182.0ms | 240× | 0 | valid |
Compiled 212 to 165 computations (22.2% saved)
ival-neg: 161.0ms (91.6% of total)ival-tan: 5.0ms (2.8% of total)ival-sin: 4.0ms (2.3% of total)ival-div: 3.0ms (1.7% of total)ival-add: 1.0ms (0.6% of total)ival-mult: 1.0ms (0.6% 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 |
| 60× | unsub-neg_binary64 |
| 58× | neg-mul-1_binary64 |
| 30× | *-commutative_binary64 |
| 30× | +-commutative_binary64 |
| 28× | sub-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 145 |
| 1 | 81 | 143 |
| 2 | 114 | 143 |
| 3 | 132 | 143 |
| 4 | 146 | 143 |
| 5 | 188 | 143 |
| 6 | 254 | 143 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(if (<=.f64 (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(literal -1999999999999999966445568 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B))) (if (<=.f64 (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(literal 5000 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B))))) |
(if (<=.f64 B #s(literal 3602879701896397/9007199254740992 binary64)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (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))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 B (*.f64 x #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(if (<=.f64 x #s(literal -1450710983537555/1208925819614629174706176 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 B #s(literal 1/6 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(if (<=.f64 (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(literal -1999999999999999966445568 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B))) (if (<=.f64 (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(literal 5000 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B))))) |
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 x (/.f64 #s(literal -1 binary64) (tan.f64 B)))) #s(literal -1999999999999999966445568 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B))) (if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 x (/.f64 #s(literal -1 binary64) (tan.f64 B)))) #s(literal 5000 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x (tan.f64 B))))) |
(if (<=.f64 B #s(literal 3602879701896397/9007199254740992 binary64)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (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))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 B (*.f64 x #s(literal 1/3 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(if (<=.f64 x #s(literal -1450710983537555/1208925819614629174706176 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 -1450710983537555/1208925819614629174706176 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 B #s(literal 1/6 binary64)) |
| 25 592× | lower-fma.f64 |
| 25 592× | lower-fma.f32 |
| 23 152× | lower-fma.f64 |
| 23 152× | lower-fma.f32 |
| 17 782× | lower-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 135 | 913 |
| 1 | 368 | 906 |
| 2 | 1218 | 888 |
| 3 | 4458 | 883 |
| 4 | 7788 | 881 |
| 0 | 8237 | 848 |
| 0 | 334 | 3615 |
| 1 | 969 | 3425 |
| 2 | 3025 | 3373 |
| 0 | 8139 | 3068 |
| 0 | 361 | 4000 |
| 1 | 1134 | 3908 |
| 2 | 3902 | 3743 |
| 0 | 8111 | 3518 |
| 0 | 32 | 157 |
| 0 | 60 | 157 |
| 1 | 254 | 156 |
| 2 | 1979 | 153 |
| 0 | 8569 | 153 |
| 0 | 10 | 33 |
| 0 | 17 | 26 |
| 1 | 59 | 25 |
| 2 | 376 | 25 |
| 3 | 4328 | 25 |
| 0 | 8975 | 25 |
| 0 | 299 | 3386 |
| 1 | 891 | 3356 |
| 2 | 2941 | 3281 |
| 0 | 8177 | 3051 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 279 to 152 computations (45.5% saved)
(negabs B)
Compiled 340 to 144 computations (57.6% saved)
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