
Time bar (total: 9.1s)
| 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)
| 793.0ms | 8 256× | 0 | valid |
ival-tan: 189.0ms (30.4% of total)ival-sin: 178.0ms (28.6% of total)ival-div: 113.0ms (18.2% of total)ival-mult: 54.0ms (8.7% of total)ival-neg: 37.0ms (6% of total)ival-add: 36.0ms (5.8% of total)ival-true: 6.0ms (1% of total)exact: 5.0ms (0.8% of total)ival-assert: 3.0ms (0.5% of total)| 1× | egg-herbie |
| 176× | lower-fma.f64 |
| 176× | lower-fma.f32 |
| 128× | lower-*.f32 |
| 126× | lower-*.f64 |
| 106× | distribute-lft-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 68 |
| 1 | 77 | 46 |
| 2 | 212 | 45 |
| 3 | 409 | 45 |
| 4 | 621 | 45 |
| 5 | 763 | 45 |
| 6 | 837 | 45 |
| 7 | 858 | 45 |
| 8 | 860 | 45 |
| 0 | 10 | 12 |
| 0 | 17 | 12 |
| 1 | 30 | 9 |
| 2 | 57 | 9 |
| 3 | 90 | 9 |
| 4 | 128 | 9 |
| 5 | 185 | 9 |
| 6 | 220 | 9 |
| 7 | 279 | 9 |
| 8 | 310 | 9 |
| 9 | 337 | 9 |
| 10 | 347 | 9 |
| 0 | 347 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| Outputs |
|---|
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(negabs B)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 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 |
| 118.0ms | 512× | 0 | valid |
Compiled 112 to 44 computations (60.7% saved)
ival-sin: 76.0ms (74.4% of total)ival-tan: 10.0ms (9.8% of total)ival-div: 7.0ms (6.9% of total)ival-mult: 3.0ms (2.9% of total)ival-add: 2.0ms (2% of total)ival-neg: 2.0ms (2% 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 | 99.6% | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
| 27.0ms | 256× | 0 | valid |
Compiled 42 to 12 computations (71.4% saved)
ival-tan: 6.0ms (32.2% of total)ival-sin: 5.0ms (26.9% of total)ival-div: 3.0ms (16.1% of total)ival-mult: 2.0ms (10.7% of total)ival-add: 1.0ms (5.4% of total)ival-neg: 1.0ms (5.4% 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× | 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)) |
| 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)) |
(fma.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (cos.f64 B) #s(literal 0 binary64)) |
(fma.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)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (neg.f64 (neg.f64 x)) (sin.f64 B)) (cos.f64 B) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (neg.f64 (neg.f64 x)) (sin.f64 B)) (neg.f64 (cos.f64 B)) #s(literal 0 binary64)) |
(fma.f64 (exp.f64 (log.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 0 binary64)) |
(fma.f64 (exp.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 0 binary64)) |
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 x (tan.f64 B)) #s(literal 0 binary64)) |
(neg.f64 (/.f64 x (tan.f64 B))) |
(/.f64 x (tan.f64 B)) |
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x)) |
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(/.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))) |
Compiled 9 519 to 1 203 computations (87.4% saved)
18 alts after pruning (18 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 535 | 18 | 553 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 536 | 18 | 554 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 36.6% | (/.f64 (fma.f64 x (sin.f64 B) (tan.f64 B)) (*.f64 (tan.f64 B) (sin.f64 B))) | |
| 41.5% | (/.f64 (+.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)) (*.f64 (/.f64 (tan.f64 B) x) (sin.f64 B))) | |
| 39.3% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))))) (/.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))))) | |
| ▶ | 99.8% | (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| 99.7% | (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| 99.7% | (+.f64 (neg.f64 (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| 77.3% | (+.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))) | |
| 50.2% | (+.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))) | |
| ▶ | 60.0% | (+.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)))) |
| 76.0% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) | |
| 73.4% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| 50.0% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin 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)) | |
| 50.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin 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)) | |
| 50.0% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin 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)) | |
| ▶ | 50.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
| 52.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) | |
| ▶ | 49.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
Compiled 610 to 398 computations (34.8% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 192 | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) |
| ✓ | cost-diff | 192 | (-.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)) |
| ✓ | cost-diff | 320 | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
| ✓ | cost-diff | 1216 | (/.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))) |
| ✓ | cost-diff | 0 | (neg.f64 x) |
| ✓ | cost-diff | 0 | (tan.f64 B) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (tan.f64 B)) |
| ✓ | cost-diff | 13824 | (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| ✓ | 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 | 13504 | (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| 1 200× | lower-fma.f32 |
| 1 198× | lower-fma.f64 |
| 784× | lower-*.f32 |
| 780× | lower-*.f64 |
| 566× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 220 |
| 0 | 57 | 198 |
| 1 | 100 | 193 |
| 2 | 178 | 189 |
| 3 | 317 | 185 |
| 4 | 557 | 181 |
| 5 | 1102 | 181 |
| 6 | 1906 | 181 |
| 7 | 2442 | 181 |
| 8 | 2608 | 181 |
| 9 | 2653 | 181 |
| 10 | 2660 | 181 |
| 11 | 2660 | 181 |
| 0 | 2660 | 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) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
B |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
#s(literal 1 binary64) |
(sin.f64 B) |
B |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
#s(literal 1 binary64) |
(tan.f64 B) |
B |
(neg.f64 x) |
x |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(sin.f64 B) |
(+.f64 (neg.f64 (*.f64 x (/.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)))) |
(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 (-.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 (/.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 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) |
(-.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 0 binary64) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(sin.f64 B) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) 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) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
B |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
#s(literal 1 binary64) |
(sin.f64 B) |
B |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
#s(literal 1 binary64) |
(tan.f64 B) |
B |
(neg.f64 x) |
x |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(sin.f64 B) |
(+.f64 (neg.f64 (*.f64 x (/.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 (/.f64 (sin.f64 B) (fma.f64 (cos.f64 (+.f64 B B)) #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 |
(/.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 (sin.f64 B) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(-.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 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 B B)))) |
(/.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 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 B B)))) |
(-.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 0 binary64) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(sin.f64 B) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (tan.f64 B)) |
| ✓ | accuracy | 99.6% | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
| ✓ | accuracy | 79.6% | (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) |
| ✓ | accuracy | 74.1% | (/.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))) |
| ✓ | accuracy | 100.0% | (sin.f64 B) |
| ✓ | accuracy | 99.8% | (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.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 | 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 #s(literal 1 binary64) (sin.f64 B)) |
| ✓ | accuracy | 99.8% | (/.f64 x (tan.f64 B)) |
| 285.0ms | 134× | 0 | valid |
| 105.0ms | 118× | 1 | valid |
| 4.0ms | 4× | 2 | valid |
Compiled 223 to 30 computations (86.5% saved)
ival-mult: 254.0ms (69% of total)ival-tan: 34.0ms (9.2% of total)ival-cos: 25.0ms (6.8% of total)ival-div: 17.0ms (4.6% of total)ival-sin: 11.0ms (3% of total)ival-sub: 9.0ms (2.4% of total)adjust: 7.0ms (1.9% of total)ival-add: 6.0ms (1.6% of total)ival-neg: 3.0ms (0.8% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 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 (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B)))> |
#<alt (/.f64 #s(literal 1 binary64) (tan.f64 B))> |
#<alt (tan.f64 B)> |
#<alt (neg.f64 x)> |
#<alt (/.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)))> |
#<alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))> |
#<alt (-.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))> |
#<alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))))> |
#<alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B 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 (/ (+ 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 (+ (* -1/9 x) (* 2/15 x))))))))) B)> |
#<alt (/ (+ 1 (+ (* -1 x) (* (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)))))))))))))) B)> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))> |
#<alt (/ 1 (sin B))> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))> |
#<alt (* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))> |
#<alt (* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))> |
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))> |
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))> |
#<alt (/ 1 B)> |
#<alt (/ (+ 1 (* -1/3 (pow B 2))) B)> |
#<alt (/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B)> |
#<alt (/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B)> |
#<alt (/ (cos B) (sin B))> |
#<alt (/ (cos B) (sin B))> |
#<alt (/ (cos B) (sin B))> |
#<alt (/ (cos B) (sin B))> |
#<alt (/ (cos B) (sin B))> |
#<alt (/ (cos B) (sin B))> |
#<alt (/ (cos B) (sin B))> |
#<alt (/ (cos B) (sin B))> |
#<alt B> |
#<alt (* B (+ 1 (* 1/3 (pow B 2))))> |
#<alt (* B (+ 1 (* (pow B 2) (+ 1/3 (* 2/15 (pow B 2))))))> |
#<alt (* B (+ 1 (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 2/15 (* 17/315 (pow B 2))))))))> |
#<alt (/ (sin B) (cos B))> |
#<alt (/ (sin B) (cos B))> |
#<alt (/ (sin B) (cos B))> |
#<alt (/ (sin B) (cos B))> |
#<alt (/ (sin B) (cos B))> |
#<alt (/ (sin B) (cos B))> |
#<alt (/ (sin B) (cos B))> |
#<alt (/ (sin B) (cos B))> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (/ 1 B)> |
#<alt (/ (+ 1 (* 1/6 (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 (/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B)))))> |
#<alt (/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B)))))> |
#<alt (/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B)))))> |
#<alt (/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B)))))> |
#<alt (/ (sin B) (- 1/2 (* 1/2 (cos (neg (* -2 B))))))> |
#<alt (/ (sin B) (- 1/2 (* 1/2 (cos (neg (* -2 B))))))> |
#<alt (/ (sin B) (- 1/2 (* 1/2 (cos (neg (* -2 B))))))> |
#<alt (/ (sin B) (- 1/2 (* 1/2 (cos (neg (* -2 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 (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 (neg (* -2 B))))))> |
#<alt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))> |
#<alt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))> |
#<alt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -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 (neg (* -2 B))))))> |
#<alt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))> |
#<alt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))> |
#<alt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -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 (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)))))> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (/ (- 1 x) B) |
| 2.0ms | B | @ | -inf | (- (/ 1 (sin B)) (/ x (tan B))) |
| 1.0ms | B | @ | -inf | (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) |
| 1.0ms | B | @ | inf | (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) |
| 0.0ms | B | @ | -inf | (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) |
| 1× | egg-herbie |
| 11 682× | lower-fma.f64 |
| 11 682× | lower-fma.f32 |
| 3 902× | lower-+.f64 |
| 3 902× | lower-+.f32 |
| 3 582× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 227 | 2050 |
| 1 | 615 | 2040 |
| 2 | 1785 | 2002 |
| 3 | 4748 | 1966 |
| 4 | 7603 | 1966 |
| 0 | 8113 | 1816 |
| 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)))) |
(/ (+ 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 (+ (* -1/9 x) (* 2/15 x))))))))) B) |
(/ (+ 1 (+ (* -1 x) (* (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)))))))))))))) B) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(/ 1 (sin B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(/ 1 B) |
(/ (+ 1 (* -1/3 (pow B 2))) B) |
(/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B) |
(/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
(/ (cos B) (sin B)) |
B |
(* B (+ 1 (* 1/3 (pow B 2)))) |
(* B (+ 1 (* (pow B 2) (+ 1/3 (* 2/15 (pow B 2)))))) |
(* B (+ 1 (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 2/15 (* 17/315 (pow B 2)))))))) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ 1 B) |
(/ (+ 1 (* 1/6 (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) |
(/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B))))) |
(/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B))))) |
(/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B))))) |
(/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B))))) |
(/ (sin B) (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) |
(/ (sin B) (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) |
(/ (sin B) (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) |
(/ (sin B) (- 1/2 (* 1/2 (cos (neg (* -2 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 (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 (neg (* -2 B)))))) |
(/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) |
(/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) |
(/ 1 (- 1/2 (* 1/2 (cos (neg (* -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 (neg (* -2 B)))))) |
(/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) |
(/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) |
(/ 1 (- 1/2 (* 1/2 (cos (neg (* -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 (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))))) |
| 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 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 B (*.f64 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 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64))) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64))) |
(* -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)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64))) |
(* -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)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64))) |
(/ 1 B) |
(/.f64 #s(literal 1 binary64) B) |
(/ (+ 1 (* 1/6 (pow B 2))) B) |
(/.f64 (fma.f64 (*.f64 B 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 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)) |
B |
(* B (+ 1 (* -1/6 (pow B 2)))) |
(fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B) |
(* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6)))) |
(fma.f64 (*.f64 B 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) |
(/ (* 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 (*.f64 B 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) (*.f64 x (fma.f64 (*.f64 B 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 (*.f64 B B) (fma.f64 B (*.f64 B (*.f64 x #s(literal -2/945 binary64))) (*.f64 x #s(literal -1/45 binary64))) (*.f64 x #s(literal -1/3 binary64))) 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 B) |
(/.f64 #s(literal 1 binary64) B) |
(+ (* -1 (/ x B)) (/ 1 B)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(+ (* -1 (/ x B)) (/ 1 B)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(+ (* -1 (/ x B)) (/ 1 B)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(* -1 (/ x B)) |
(/.f64 x (neg.f64 B)) |
(* x (- (/ 1 (* B x)) (/ 1 B))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(* x (- (/ 1 (* B x)) (/ 1 B))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(* x (- (/ 1 (* B x)) (/ 1 B))) |
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(/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) |
(/.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 (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) |
(/.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 B 2) |
(*.f64 B B) |
(* (pow B 2) (+ 1 (* -1/3 (pow B 2)))) |
(*.f64 B (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/3 binary64)) B)) |
(* (pow B 2) (+ 1 (* (pow B 2) (- (* 2/45 (pow B 2)) 1/3)))) |
(*.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal 2/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64))) |
(* (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 B (*.f64 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× | batch-egg-rewrite |
| 958× | lower-fma.f32 |
| 956× | lower-fma.f64 |
| 858× | lower-/.f32 |
| 846× | lower-/.f64 |
| 774× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 101 |
| 0 | 44 | 80 |
| 1 | 205 | 64 |
| 0 | 2050 | 64 |
| 1× | iter limit |
| 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) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
(tan.f64 B) |
(neg.f64 x) |
(/.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 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(-.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 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (neg.f64 (/.f64 x (tan.f64 B)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 x (tan.f64 B))))) |
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #s(literal 0 binary64)) |
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (+.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 x (tan.f64 B))))) |
(-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #s(literal 0 binary64)) |
(-.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 #s(literal 0 binary64)) #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 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x (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 #s(literal 0 binary64)) #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) (fma.f64 (cos.f64 #s(literal 0 binary64)) #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 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.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) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (+.f64 #s(literal 0 binary64) (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 (sin.f64 B) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 (/.f64 x (tan.f64 B)))) |
(fma.f64 (sin.f64 B) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 x (tan.f64 B))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 1 binary64) (neg.f64 (/.f64 x (tan.f64 B)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 x (tan.f64 B))))) |
(fma.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sin.f64 B) (neg.f64 (/.f64 x (tan.f64 B)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sin.f64 B) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 x (tan.f64 B))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #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)) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 x (tan.f64 B))))) |
(fma.f64 (-.f64 (tan.f64 B) (*.f64 (sin.f64 B) x)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 B) (tan.f64 B))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (neg.f64 (/.f64 x (tan.f64 B)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 x (tan.f64 B))))) |
(fma.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (/.f64 x (tan.f64 B)))) |
(fma.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 x (tan.f64 B))))) |
(fma.f64 (-.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 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 x (*.f64 (sin.f64 B) (tan.f64 B)))))) #s(literal 0 binary64)) |
(fma.f64 (-.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) (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 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 0 binary64)) |
(fma.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 #s(literal -1 binary64) (sin.f64 B)))) #s(literal 0 binary64)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.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)) (neg.f64 (/.f64 x (tan.f64 B)))) |
(fma.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 x (tan.f64 B))))) |
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B))) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal -1 binary64)) x (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (sin.f64 B) (neg.f64 (/.f64 x (tan.f64 B)))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (sin.f64 B) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 x (tan.f64 B))))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (neg.f64 (sin.f64 B)) (neg.f64 (/.f64 x (tan.f64 B)))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (neg.f64 (sin.f64 B)) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 x (tan.f64 B))))) |
(fma.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (cos.f64 B) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (neg.f64 (/.f64 x (tan.f64 B)))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 x (tan.f64 B))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 B) (tan.f64 B)) (-.f64 (tan.f64 B) (*.f64 (sin.f64 B) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.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 (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 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.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 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 #s(literal -1 binary64) (sin.f64 B))) (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (tan.f64 B) (*.f64 (sin.f64 B) x)) (*.f64 (sin.f64 B) (tan.f64 B))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 x (*.f64 (sin.f64 B) (tan.f64 B)))))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (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 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (/.f64 (neg.f64 x) (*.f64 (sin.f64 B) (tan.f64 B)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 #s(literal 0 binary64)) #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) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))) |
(/.f64 (+.f64 (tan.f64 B) (*.f64 (sin.f64 B) (neg.f64 x))) (*.f64 (sin.f64 B) (tan.f64 B))) |
(/.f64 (+.f64 (neg.f64 (tan.f64 B)) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 x))) (*.f64 (neg.f64 (sin.f64 B)) (tan.f64 B))) |
(/.f64 (fma.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (tan.f64 B) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (tan.f64 B))) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (tan.f64 B) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (neg.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (tan.f64 B))) |
(/.f64 (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) (*.f64 (sin.f64 B) (tan.f64 B))) |
(/.f64 (fma.f64 (neg.f64 x) (neg.f64 (sin.f64 B)) (*.f64 (tan.f64 B) #s(literal -1 binary64))) (*.f64 (tan.f64 B) (neg.f64 (sin.f64 B)))) |
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(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64)) (*.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64)))))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64)) (*.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64)))) |
(pow.f64 (sin.f64 B) #s(literal 2 binary64)) |
(*.f64 (sin.f64 B) (sin.f64 B)) |
(*.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)))) |
Compiled 21 733 to 1 853 computations (91.5% saved)
20 alts after pruning (16 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 970 | 13 | 983 |
| Fresh | 10 | 3 | 13 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 981 | 20 | 1 001 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.7% | (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 76.0% | (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) | |
| 99.7% | (fma.f64 #s(approx (/ 1 (tan B)) (/.f64 (cos.f64 B) (sin.f64 B))) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| 36.6% | (/.f64 (fma.f64 x (sin.f64 B) (tan.f64 B)) (*.f64 (tan.f64 B) (sin.f64 B))) | |
| ✓ | 99.8% | (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| ▶ | 99.7% | (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))) |
| 75.3% | (-.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 B)) #s(literal -1 binary64))) (/.f64 x (tan.f64 B))) | |
| ▶ | 76.1% | (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))) |
| ▶ | 60.1% | (+.f64 (neg.f64 (/.f64 x (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)))) |
| 50.2% | (+.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))) | |
| 60.0% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (sin.f64 B) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) | |
| ▶ | 33.7% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)))) |
| 50.0% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) | |
| 50.0% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 B (*.f64 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)) | |
| 50.2% | #s(approx (- (/ 1 (sin B)) (/ x (tan 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)) | |
| 52.5% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) | |
| 99.6% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64)))) | |
| ▶ | 50.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin 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)) |
| ✓ | 50.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
| ✓ | 49.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
Compiled 587 to 399 computations (32% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 384 | (/.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))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (sin.f64 B)) |
| ✓ | cost-diff | 4992 | (sin.f64 B) |
| ✓ | cost-diff | 6400 | (/.f64 x (tan.f64 B)) |
| ✓ | cost-diff | 192 | (-.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)) |
| ✓ | cost-diff | 384 | (/.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))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (sin.f64 B)) |
| ✓ | cost-diff | 4992 | (sin.f64 B) |
| ✓ | cost-diff | 0 | (tan.f64 B) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) B) |
| ✓ | cost-diff | 0 | (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))) |
| ✓ | cost-diff | 6400 | (/.f64 x (tan.f64 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 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (sin.f64 B)) |
| ✓ | cost-diff | 4992 | (sin.f64 B) |
| ✓ | cost-diff | 7104 | (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x)) |
| 18 744× | lower-fma.f32 |
| 18 740× | lower-fma.f64 |
| 3 064× | lower-*.f32 |
| 3 060× | lower-*.f64 |
| 2 148× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 351 |
| 0 | 78 | 336 |
| 1 | 138 | 312 |
| 2 | 263 | 304 |
| 3 | 476 | 296 |
| 4 | 881 | 288 |
| 5 | 1819 | 288 |
| 6 | 3825 | 287 |
| 7 | 5405 | 287 |
| 8 | 6081 | 287 |
| 9 | 6357 | 287 |
| 10 | 6449 | 287 |
| 11 | 6471 | 287 |
| 12 | 6484 | 287 |
| 13 | 6619 | 287 |
| 14 | 6700 | 287 |
| 15 | 6780 | 287 |
| 16 | 6784 | 287 |
| 17 | 6786 | 287 |
| 18 | 6786 | 287 |
| 0 | 8797 | 280 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
#s(literal 1 binary64) |
(sin.f64 B) |
B |
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x)) |
(/.f64 (tan.f64 B) x) |
(tan.f64 B) |
x |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B)) |
(/.f64 (-.f64 (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 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))) |
#s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) |
(/.f64 #s(literal 1 binary64) B) |
#s(literal 1 binary64) |
B |
(/.f64 x (tan.f64 B)) |
x |
(tan.f64 B) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)))) |
(neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) |
#s(approx (* x (/ 1 (tan B))) (/.f64 x B)) |
(/.f64 x B) |
x |
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 (/.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 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) |
#s(literal 1 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 0 binary64) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(sin.f64 B) |
(+.f64 (neg.f64 (/.f64 x (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)))) |
(neg.f64 (/.f64 x (tan.f64 B))) |
(/.f64 x (tan.f64 B)) |
x |
(tan.f64 B) |
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 (/.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 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) |
#s(literal 1 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 0 binary64) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(sin.f64 B) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
#s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) |
#s(literal 1 binary64) |
(sin.f64 B) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) |
B |
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x)) |
#s(approx (* x (/ 1 (tan B))) (/.f64 x B)) |
(/.f64 (tan.f64 B) x) |
(tan.f64 B) |
x |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin 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 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) |
(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 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) |
#s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) |
(/.f64 #s(literal 1 binary64) B) |
#s(literal 1 binary64) |
B |
(/.f64 x (tan.f64 B)) |
#s(approx (* x (/ 1 (tan B))) (/.f64 x B)) |
x |
(tan.f64 B) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 B B))))) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) |
(neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) |
#s(approx (* x (/ 1 (tan B))) (/.f64 x B)) |
(/.f64 x B) |
x |
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 #s(literal 2 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 B B))))) |
(-.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 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 B B)))) |
(/.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 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 B B)))) |
#s(literal 1 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 0 binary64) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)) |
#s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
#s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) |
(sin.f64 B) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) |
(+.f64 (neg.f64 (/.f64 x (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 (/.f64 #s(literal 2 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 B B))))) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) |
(neg.f64 (/.f64 x (tan.f64 B))) |
(neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) |
(/.f64 x (tan.f64 B)) |
#s(approx (* x (/ 1 (tan B))) (/.f64 x B)) |
x |
(tan.f64 B) |
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 #s(literal 2 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 B B))))) |
(-.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 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 B B)))) |
(/.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 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 B B)))) |
#s(literal 1 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 0 binary64) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)) |
#s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
#s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) |
(sin.f64 B) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (/.f64 x (tan.f64 B)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) |
| ✓ | accuracy | 79.6% | (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) |
| ✓ | accuracy | 74.1% | (/.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))) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (sin.f64 B)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) |
| ✓ | accuracy | 79.6% | (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) |
| ✓ | accuracy | 74.1% | (/.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))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) B) |
| ✓ | accuracy | 100.0% | (tan.f64 B) |
| ✓ | accuracy | 100.0% | (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))) |
| ✓ | accuracy | 99.8% | (/.f64 x (tan.f64 B)) |
| ✓ | 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 | 99.9% | (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.7% | (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 82.9% | (/.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 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (sin.f64 B)) |
| ✓ | accuracy | 99.8% | (/.f64 (tan.f64 B) x) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x)) |
| 136.0ms | 122× | 1 | valid |
| 50.0ms | 134× | 0 | valid |
Compiled 360 to 41 computations (88.6% saved)
ival-tan: 36.0ms (23.9% of total)ival-cos: 26.0ms (17.3% of total)ival-div: 24.0ms (15.9% of total)ival-add: 13.0ms (8.6% of total)ival-sin: 11.0ms (7.3% of total)ival-mult: 10.0ms (6.6% of total)ival-sub: 10.0ms (6.6% of total)adjust: 9.0ms (6% of total)const: 8.0ms (5.3% of total)ival-neg: 3.0ms (2% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))> |
#<alt (sin.f64 B)> |
#<alt (/.f64 #s(literal 1 binary64) (sin.f64 B))> |
#<alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x)))> |
#<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 x (tan.f64 B))> |
#<alt (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B)))> |
#<alt (/.f64 #s(literal 1 binary64) B)> |
#<alt (tan.f64 B)> |
#<alt (/.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)))> |
#<alt (-.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))> |
#<alt (/.f64 (tan.f64 B) x)> |
#<alt (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))> |
#<alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))> |
#<alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))))> |
| Outputs |
|---|
#<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 (/ (* 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 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 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 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 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 (/ (* 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 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 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 B> |
#<alt (* B (+ 1 (* 1/3 (pow B 2))))> |
#<alt (* B (+ 1 (* (pow B 2) (+ 1/3 (* 2/15 (pow B 2))))))> |
#<alt (* B (+ 1 (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 2/15 (* 17/315 (pow B 2))))))))> |
#<alt (/ (sin B) (cos B))> |
#<alt (/ (sin B) (cos B))> |
#<alt (/ (sin B) (cos B))> |
#<alt (/ (sin B) (cos B))> |
#<alt (/ (sin B) (cos B))> |
#<alt (/ (sin B) (cos B))> |
#<alt (/ (sin B) (cos B))> |
#<alt (/ (sin B) (cos B))> |
#<alt (/ 1 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 (/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B)))))> |
#<alt (/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B)))))> |
#<alt (/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B)))))> |
#<alt (/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B)))))> |
#<alt (/ (sin B) (- 1/2 (* 1/2 (cos (neg (* -2 B))))))> |
#<alt (/ (sin B) (- 1/2 (* 1/2 (cos (neg (* -2 B))))))> |
#<alt (/ (sin B) (- 1/2 (* 1/2 (cos (neg (* -2 B))))))> |
#<alt (/ (sin B) (- 1/2 (* 1/2 (cos (neg (* -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 (neg (* -2 B))))))> |
#<alt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))> |
#<alt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))> |
#<alt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))> |
#<alt (/ B x)> |
#<alt (* B (+ (* 1/3 (/ (pow B 2) x)) (/ 1 x)))> |
#<alt (* B (+ (* (pow B 2) (+ (* 2/15 (/ (pow B 2) x)) (* 1/3 (/ 1 x)))) (/ 1 x)))> |
#<alt (* B (+ (* (pow B 2) (+ (* (pow B 2) (+ (* 17/315 (/ (pow B 2) x)) (* 2/15 (/ 1 x)))) (* 1/3 (/ 1 x)))) (/ 1 x)))> |
#<alt (/ (sin B) (* x (cos B)))> |
#<alt (/ (sin B) (* x (cos B)))> |
#<alt (/ (sin B) (* x (cos B)))> |
#<alt (/ (sin B) (* x (cos B)))> |
#<alt (/ (sin B) (* x (cos B)))> |
#<alt (/ (sin B) (* x (cos B)))> |
#<alt (/ (sin B) (* x (cos B)))> |
#<alt (/ (sin B) (* x (cos B)))> |
#<alt (/ (sin B) (* x (cos B)))> |
#<alt (/ (sin B) (* x (cos B)))> |
#<alt (/ (sin B) (* x (cos B)))> |
#<alt (/ (sin B) (* x (cos B)))> |
#<alt (/ (sin B) (* x (cos B)))> |
#<alt (/ (sin B) (* x (cos B)))> |
#<alt (/ (sin B) (* x (cos B)))> |
#<alt (/ (sin B) (* x (cos B)))> |
#<alt (/ (sin B) (* x (cos B)))> |
#<alt (/ (sin B) (* x (cos B)))> |
#<alt (/ (sin B) (* x (cos B)))> |
#<alt (/ (sin B) (* x (cos 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 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 (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 (neg (* -2 B))))))> |
#<alt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))> |
#<alt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))> |
#<alt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))> |
78 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | B | @ | 0 | (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) |
| 1.0ms | B | @ | inf | (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) |
| 1.0ms | x | @ | 0 | (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) |
| 1.0ms | x | @ | inf | (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) |
| 0.0ms | x | @ | -inf | (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) |
| 1× | egg-herbie |
| 16 558× | lower-fma.f64 |
| 16 558× | lower-fma.f32 |
| 5 216× | lower-+.f64 |
| 5 216× | lower-+.f32 |
| 4 878× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 269 | 3168 |
| 1 | 833 | 3101 |
| 2 | 2593 | 3007 |
| 3 | 6780 | 2996 |
| 0 | 8029 | 2775 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 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)) |
(/ (* 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)) |
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 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 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 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) |
(/ (* 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 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 B) |
(/ 1 B) |
(/ 1 B) |
(/ 1 B) |
(/ 1 B) |
(/ 1 B) |
(/ 1 B) |
(/ 1 B) |
(/ 1 B) |
(/ 1 B) |
(/ 1 B) |
B |
(* B (+ 1 (* 1/3 (pow B 2)))) |
(* B (+ 1 (* (pow B 2) (+ 1/3 (* 2/15 (pow B 2)))))) |
(* B (+ 1 (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 2/15 (* 17/315 (pow B 2)))))))) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(/ 1 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) |
(/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B))))) |
(/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B))))) |
(/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B))))) |
(/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B))))) |
(/ (sin B) (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) |
(/ (sin B) (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) |
(/ (sin B) (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) |
(/ (sin B) (- 1/2 (* 1/2 (cos (neg (* -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 (neg (* -2 B)))))) |
(/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) |
(/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) |
(/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) |
(/ B x) |
(* B (+ (* 1/3 (/ (pow B 2) x)) (/ 1 x))) |
(* B (+ (* (pow B 2) (+ (* 2/15 (/ (pow B 2) x)) (* 1/3 (/ 1 x)))) (/ 1 x))) |
(* B (+ (* (pow B 2) (+ (* (pow B 2) (+ (* 17/315 (/ (pow B 2) x)) (* 2/15 (/ 1 x)))) (* 1/3 (/ 1 x)))) (/ 1 x))) |
(/ (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 (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))) |
1/6 |
(+ 1/6 (* 1/3 x)) |
(+ 1/6 (* 1/3 x)) |
(+ 1/6 (* 1/3 x)) |
(* 1/3 x) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(* 1/3 x) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(pow B 2) |
(* (pow B 2) (+ 1 (* -1/3 (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 (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 (neg (* -2 B)))))) |
(/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) |
(/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) |
(/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) |
| Outputs |
|---|
(/ x B) |
(/.f64 x B) |
(/ (+ x (* -1/3 (* (pow B 2) x))) B) |
(/.f64 (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 B B)) x) B) |
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/.f64 (-.f64 x (*.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (*.f64 B B))) 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 (*.f64 B B) (fma.f64 (*.f64 x #s(literal 2/945 binary64)) (neg.f64 (*.f64 B B)) (*.f64 x #s(literal -1/45 binary64))) (*.f64 x #s(literal -1/3 binary64))) x) B) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* 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)) |
B |
(* B (+ 1 (* -1/6 (pow B 2)))) |
(fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B) |
(* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6)))) |
(fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B) |
(* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 B (*.f64 B B)) B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(/ 1 B) |
(/.f64 #s(literal 1 binary64) B) |
(/ (+ 1 (* 1/6 (pow B 2))) B) |
(/.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.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 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(/ (- 1 x) B) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.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 (/.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 (* x (sin B))) (/ (cos B) (sin B)))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (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 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)))) 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)))) 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) |
(* 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) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(*.f64 B (+.f64 #s(literal 1/6 binary64) (fma.f64 x #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 B B))))) |
(* B (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(*.f64 B (+.f64 #s(literal 1/6 binary64) (fma.f64 x #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 B B))))) |
(* B (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(*.f64 B (+.f64 #s(literal 1/6 binary64) (fma.f64 x #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 B B))))) |
(* B (+ 1/6 (* 1/3 x))) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
(* -1 (* B (+ (* -1 (+ 1/6 (* 1/3 x))) (* -1 (/ (- 1 x) (pow B 2)))))) |
(*.f64 B (+.f64 #s(literal 1/6 binary64) (fma.f64 x #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 B B))))) |
(* -1 (* B (+ (* -1 (+ 1/6 (* 1/3 x))) (* -1 (/ (- 1 x) (pow B 2)))))) |
(*.f64 B (+.f64 #s(literal 1/6 binary64) (fma.f64 x #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 B B))))) |
(* -1 (* B (+ (* -1 (+ 1/6 (* 1/3 x))) (* -1 (/ (- 1 x) (pow B 2)))))) |
(*.f64 B (+.f64 #s(literal 1/6 binary64) (fma.f64 x #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 B B))))) |
(/ (+ 1 (* 1/6 (pow B 2))) B) |
(/.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) B) |
(+ (* 1/6 B) (+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 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))) |
(+ (* 1/6 B) (+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 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))) |
(+ (* 1/6 B) (+ (* x (- (* 1/3 B) (/ 1 B))) (/ 1 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))) |
(/ (* x (- (* 1/3 (pow B 2)) 1)) B) |
(/.f64 (*.f64 x (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64))) B) |
(* x (- (+ (* 1/6 (/ B x)) (+ (* 1/3 B) (/ 1 (* B x)))) (/ 1 B))) |
(-.f64 (*.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 B)) |
(* x (- (+ (* 1/6 (/ B x)) (+ (* 1/3 B) (/ 1 (* B x)))) (/ 1 B))) |
(-.f64 (*.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 B)) |
(* x (- (+ (* 1/6 (/ B x)) (+ (* 1/3 B) (/ 1 (* B x)))) (/ 1 B))) |
(-.f64 (*.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 B)) |
(* -1 (/ (* x (+ 1 (* -1/3 (pow B 2)))) B)) |
(/.f64 (*.f64 x (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64))) B) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/6 B) (/ 1 B)) x)) (+ (* -1/3 B) (/ 1 B))))) |
(neg.f64 (fma.f64 x (fma.f64 B #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) B)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) B) (*.f64 B #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/6 B) (/ 1 B)) x)) (+ (* -1/3 B) (/ 1 B))))) |
(neg.f64 (fma.f64 x (fma.f64 B #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) B)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) B) (*.f64 B #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(* -1 (* x (+ (* -1 (/ (+ (* 1/6 B) (/ 1 B)) x)) (+ (* -1/3 B) (/ 1 B))))) |
(neg.f64 (fma.f64 x (fma.f64 B #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) B)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) B) (*.f64 B #s(literal 1/6 binary64))) #s(literal 1 binary64)))) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) |
(-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) |
(- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) |
(-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) |
(- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) |
(-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) |
(* (pow B 2) (+ 1/6 (* 1/3 x))) |
(*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
(* (pow B 2) (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 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))) |
(* (pow B 2) (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 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))) |
(* (pow B 2) (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 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))) |
(* (pow B 2) (+ 1/6 (* 1/3 x))) |
(*.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
(* (pow B 2) (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 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))) |
(* (pow B 2) (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 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))) |
(* (pow B 2) (- (+ 1/6 (+ (* 1/3 x) (/ 1 (pow B 2)))) (/ x (pow B 2)))) |
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(/.f64 (sin.f64 B) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(/ (sin B) (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) |
(/.f64 (sin.f64 B) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(/ 1 (pow B 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 B B)) |
(/ (+ 1 (* 1/3 (pow B 2))) (pow B 2)) |
(/.f64 (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (*.f64 B B)) |
(/ (+ 1 (* (pow B 2) (+ 1/3 (* 1/15 (pow B 2))))) (pow B 2)) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/15 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (*.f64 B B)) |
(/ (+ 1 (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/15 (* 2/189 (pow B 2))))))) (pow B 2)) |
(/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (*.f64 B B)) |
(/ 1 (- 1/2 (* 1/2 (cos (* 2 B))))) |
(/.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 (- 1/2 (* 1/2 (cos (* 2 B))))) |
(/.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 (- 1/2 (* 1/2 (cos (* 2 B))))) |
(/.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 (- 1/2 (* 1/2 (cos (* 2 B))))) |
(/.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 (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) |
(/.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 (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) |
(/.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 (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) |
(/.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 (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) |
(/.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))) |
(/ B x) |
(/.f64 B x) |
(* B (+ (* 1/3 (/ (pow B 2) x)) (/ 1 x))) |
(*.f64 B (*.f64 (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))) |
(* B (+ (* (pow B 2) (+ (* 2/15 (/ (pow B 2) x)) (* 1/3 (/ 1 x)))) (/ 1 x))) |
(fma.f64 B (*.f64 (/.f64 (*.f64 B B) x) (fma.f64 (*.f64 B B) #s(literal 2/15 binary64) #s(literal 1/3 binary64))) (/.f64 B x)) |
(* B (+ (* (pow B 2) (+ (* (pow B 2) (+ (* 17/315 (/ (pow B 2) x)) (* 2/15 (/ 1 x)))) (* 1/3 (/ 1 x)))) (/ 1 x))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 B B) x) (fma.f64 (*.f64 B B) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 B (*.f64 B B)) (/.f64 B x)) |
(/ (sin B) (* x (cos B))) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/ (sin B) (* x (cos B))) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/ (sin B) (* x (cos B))) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/ (sin B) (* x (cos B))) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/ (sin B) (* x (cos B))) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/ (sin B) (* x (cos B))) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/ (sin B) (* x (cos B))) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/ (sin B) (* x (cos B))) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/ (sin B) (* x (cos B))) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/ (sin B) (* x (cos B))) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/ (sin B) (* x (cos B))) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/ (sin B) (* x (cos B))) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/ (sin B) (* x (cos B))) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/ (sin B) (* x (cos B))) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/ (sin B) (* x (cos B))) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/ (sin B) (* x (cos B))) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/ (sin B) (* x (cos B))) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/ (sin B) (* x (cos B))) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/ (sin B) (* x (cos B))) |
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) |
(/ (sin B) (* x (cos B))) |
(/.f64 (sin.f64 B) (*.f64 x (cos.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 B 2) |
(*.f64 B B) |
(* (pow B 2) (+ 1 (* -1/3 (pow B 2)))) |
(*.f64 B (fma.f64 B (*.f64 #s(literal -1/3 binary64) (*.f64 B B)) B)) |
(* (pow B 2) (+ 1 (* (pow B 2) (- (* 2/45 (pow B 2)) 1/3)))) |
(*.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal 2/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64))) |
(* (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 B (*.f64 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 (pow B 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 B B)) |
(/ (+ 1 (* 1/3 (pow B 2))) (pow B 2)) |
(/.f64 (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (*.f64 B B)) |
(/ (+ 1 (* (pow B 2) (+ 1/3 (* 1/15 (pow B 2))))) (pow B 2)) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/15 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (*.f64 B B)) |
(/ (+ 1 (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/15 (* 2/189 (pow B 2))))))) (pow B 2)) |
(/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (*.f64 B B)) |
(/ 1 (- 1/2 (* 1/2 (cos (* 2 B))))) |
(/.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 (- 1/2 (* 1/2 (cos (* 2 B))))) |
(/.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 (- 1/2 (* 1/2 (cos (* 2 B))))) |
(/.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 (- 1/2 (* 1/2 (cos (* 2 B))))) |
(/.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 (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) |
(/.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 (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) |
(/.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 (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) |
(/.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 (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) |
(/.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× | batch-egg-rewrite |
| 1 220× | lower-fma.f32 |
| 1 216× | lower-fma.f64 |
| 1 068× | lower-*.f32 |
| 1 064× | lower-*.f64 |
| 1 032× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 134 |
| 0 | 58 | 113 |
| 1 | 265 | 97 |
| 0 | 2505 | 97 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x)) |
(sin.f64 B) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))) |
(/.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 x (tan.f64 B)) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))) |
(/.f64 #s(literal 1 binary64) B) |
(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 (/.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 (tan.f64 B) x) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 B) x)) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 (/.f64 x (tan.f64 B)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x)) |
(/.f64 x (tan.f64 B)) |
(/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) (neg.f64 x))) |
(/.f64 (neg.f64 x) (neg.f64 (tan.f64 B))) |
(/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) x) (tan.f64 B)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 (tan.f64 B))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (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)) |
(*.f64 #s(literal 1 binary64) (/.f64 x (tan.f64 B))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(*.f64 (/.f64 x (tan.f64 B)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (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 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 B))) (neg.f64 x)) |
(*.f64 (pow.f64 (/.f64 (tan.f64 B) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (tan.f64 B) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))) (cos.f64 B)) |
(-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) (/.f64 #s(literal 0 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(sin.f64 B) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(literal 1 binary64))) |
(/.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))) |
(/.f64 (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) (neg.f64 (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(/.f64 (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))) (*.f64 (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(literal 1 binary64)) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))) |
(pow.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))) |
(*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(*.f64 (/.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))))) |
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 3 binary64))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))) (*.f64 (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) (*.f64 (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))))) (*.f64 (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))) (*.f64 (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))) |
Compiled 31 913 to 2 083 computations (93.5% saved)
30 alts after pruning (24 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 234 | 16 | 1 250 |
| Fresh | 3 | 8 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 240 | 30 | 1 270 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.7% | (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 76.0% | (fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) | |
| 36.6% | (/.f64 (fma.f64 x (sin.f64 B) (tan.f64 B)) (*.f64 (tan.f64 B) (sin.f64 B))) | |
| ✓ | 99.8% | (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| 75.3% | (-.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 B)) #s(literal -1 binary64))) (/.f64 x (tan.f64 B))) | |
| 76.0% | (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 #s(literal 1 binary64) x))) | |
| ✓ | 76.1% | (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))) |
| 50.1% | (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x #s(approx (tan B) (fma.f64 (*.f64 B B) (*.f64 B #s(literal 1/3 binary64)) B)))) | |
| 76.0% | (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))) | |
| 49.9% | (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ x (tan B)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 x #s(literal 2/945 binary64)) (neg.f64 (*.f64 B B)) (*.f64 x #s(literal -1/45 binary64))) (*.f64 x #s(literal -1/3 binary64))) x) B))) | |
| 50.1% | (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ x (tan B)) (/.f64 (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 B B)) x) B))) | |
| 50.0% | (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ x (tan B)) (/.f64 (-.f64 x (*.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (*.f64 B B))) B))) | |
| ▶ | 50.1% | (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ x (tan B)) (/.f64 x B))) |
| 60.1% | (+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 #s(approx (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 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)))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)))) | |
| 50.2% | (+.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))) | |
| 50.1% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) | |
| 30.1% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))) | |
| ▶ | 30.1% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
| 49.9% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B))) | |
| ▶ | 49.9% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B))) |
| 50.1% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) B))) | |
| ▶ | 33.7% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (sin.f64 B) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
| 50.0% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) | |
| 50.0% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) | |
| 50.2% | #s(approx (- (/ 1 (sin B)) (/ x (tan 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)) | |
| 52.5% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) | |
| ▶ | 99.6% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64)))) |
| ✓ | 50.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin 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)) |
| ✓ | 50.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
| ✓ | 49.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
Compiled 942 to 592 computations (37.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) |
| ✓ | cost-diff | 128 | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (sin.f64 B) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
| ✓ | cost-diff | 384 | (/.f64 (sin.f64 B) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 4992 | (sin.f64 B) |
| ✓ | cost-diff | 128 | (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
| ✓ | cost-diff | 128 | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))) |
| ✓ | cost-diff | 2048 | (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B) |
| ✓ | cost-diff | 0 | (/.f64 x B) |
| ✓ | cost-diff | 0 | (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) |
| ✓ | cost-diff | 128 | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B))) |
| ✓ | cost-diff | 0 | (/.f64 x B) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) B) |
| ✓ | cost-diff | 0 | (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ x (tan B)) (/.f64 x B))) |
| ✓ | cost-diff | 0 | (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64))) |
| ✓ | cost-diff | 1280 | (/.f64 #s(literal -1 binary64) (sin.f64 B)) |
| ✓ | cost-diff | 4992 | (sin.f64 B) |
| 4 074× | lower-fma.f32 |
| 4 066× | lower-fma.f64 |
| 4 038× | lower-*.f32 |
| 4 028× | lower-*.f64 |
| 1 586× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 376 |
| 0 | 89 | 319 |
| 1 | 167 | 286 |
| 2 | 391 | 264 |
| 3 | 954 | 264 |
| 4 | 2236 | 264 |
| 5 | 4880 | 264 |
| 6 | 6481 | 264 |
| 7 | 7578 | 264 |
| 0 | 8117 | 260 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (sin.f64 B)) |
#s(literal -1 binary64) |
(sin.f64 B) |
B |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
x |
(cos.f64 B) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) |
(/.f64 #s(literal 1 binary64) B) |
#s(literal 1 binary64) |
B |
#s(approx (/ x (tan B)) (/.f64 x B)) |
(/.f64 x B) |
x |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B))) |
(neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) |
#s(approx (* x (/ 1 (tan B))) (/.f64 x B)) |
(/.f64 x B) |
x |
B |
#s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B)) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B) |
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 B B) |
(fma.f64 (*.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) |
#s(literal 7/360 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) |
#s(approx (* x (/ 1 (tan B))) (/.f64 x B)) |
(/.f64 x B) |
x |
B |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))) |
#s(literal -1 binary64) |
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))) |
#s(literal 1 binary64) |
(*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) |
#s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) |
(/.f64 #s(literal 1 binary64) B) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (sin.f64 B) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) |
#s(approx (* x (/ 1 (tan B))) (/.f64 x B)) |
(/.f64 x B) |
x |
B |
#s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (sin.f64 B) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(/.f64 (sin.f64 B) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(sin.f64 B) |
(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)) |
#s(literal -2 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64)))) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64))) |
(neg.f64 (*.f64 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))) |
(/.f64 #s(literal -1 binary64) (sin.f64 B)) |
(neg.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) |
#s(literal -1 binary64) |
(sin.f64 B) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) |
B |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
x |
(cos.f64 B) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ x (tan B)) (/.f64 x B))) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) |
#s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) |
(/.f64 #s(literal 1 binary64) B) |
#s(literal 1 binary64) |
B |
#s(approx (/ x (tan B)) (/.f64 x B)) |
#s(approx (* x (/ 1 (tan B))) (/.f64 x B)) |
(/.f64 x B) |
x |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B))) |
(-.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) |
(neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) |
#s(approx (* x (/ 1 (tan B))) (/.f64 x B)) |
(/.f64 x B) |
x |
B |
#s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B)) |
#s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B)) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B) |
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 B B) |
(fma.f64 (*.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) |
(fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) |
#s(literal 7/360 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) |
(neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) |
#s(approx (* x (/ 1 (tan B))) (/.f64 x B)) |
(/.f64 x B) |
x |
B |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))) |
#s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) |
#s(literal -1 binary64) |
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) |
(/.f64 #s(literal -1 binary64) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))) |
#s(literal 1 binary64) |
(*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) |
#s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) |
(/.f64 #s(literal 1 binary64) B) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (sin.f64 B) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(-.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) |
(neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) |
#s(approx (* x (/ 1 (tan B))) (/.f64 x B)) |
(/.f64 x B) |
x |
B |
#s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (sin.f64 B) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B)) |
(/.f64 (sin.f64 B) (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) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(sin.f64 B) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) |
(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)) |
#s(literal -2 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 B) |
| ✓ | accuracy | 100.0% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (sin.f64 B) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
| ✓ | accuracy | 79.6% | (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 75.0% | (/.f64 (sin.f64 B) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))) |
| ✓ | accuracy | 99.4% | (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))) |
| ✓ | accuracy | 74.9% | (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) |
| ✓ | accuracy | 100.0% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B))) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 95.6% | (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B) |
| ✓ | accuracy | 100.0% | (/.f64 x B) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) B) |
| ✓ | accuracy | 100.0% | (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ x (tan B)) (/.f64 x B))) |
| ✓ | accuracy | 100.0% | (sin.f64 B) |
| ✓ | accuracy | 99.9% | (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal -1 binary64) (sin.f64 B)) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64))) |
| 252.0ms | 66× | 2 | valid |
| 146.0ms | 134× | 0 | valid |
| 48.0ms | 20× | 3 | valid |
| 33.0ms | 32× | 1 | valid |
| 13.0ms | 4× | 4 | valid |
Compiled 387 to 53 computations (86.3% saved)
adjust: 159.0ms (36.1% of total)ival-div: 99.0ms (22.5% of total)ival-cos: 74.0ms (16.8% of total)ival-tan: 38.0ms (8.6% of total)ival-mult: 27.0ms (6.1% of total)ival-add: 12.0ms (2.7% of total)ival-sin: 12.0ms (2.7% of total)const: 8.0ms (1.8% of total)ival-sub: 7.0ms (1.6% of total)ival-neg: 3.0ms (0.7% of total)exact: 1.0ms (0.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (sin.f64 B)> |
#<alt (/.f64 #s(literal -1 binary64) (sin.f64 B))> |
#<alt (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64)))> |
#<alt (fma.f64 x (cos.f64 B) #s(literal -1 binary64))> |
#<alt (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ x (tan B)) (/.f64 x B)))> |
#<alt (/.f64 #s(literal 1 binary64) B)> |
#<alt (/.f64 x B)> |
#<alt (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B)))> |
#<alt (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))> |
#<alt (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B)> |
#<alt (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))> |
#<alt (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))> |
#<alt (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))))> |
#<alt (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))))> |
#<alt (/.f64 (sin.f64 B) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))> |
#<alt (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (sin.f64 B) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))> |
#<alt (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))> |
#<alt (fma.f64 (*.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64))> |
#<alt (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))> |
#<alt (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))> |
#<alt (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))> |
| Outputs |
|---|
#<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 B)> |
#<alt (/ (- (* -1/6 (pow B 2)) 1) B)> |
#<alt (/ (- (* (pow B 2) (- (* -7/360 (pow B 2)) 1/6)) 1) B)> |
#<alt (/ (- (* (pow B 2) (- (* (pow B 2) (- (* -31/15120 (pow B 2)) 7/360)) 1/6)) 1) 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 (/ (- x 1) B))> |
#<alt (/ (+ (* -1 (* (pow B 2) (- (* -1/2 x) (* -1/6 (- x 1))))) (* -1 (- x 1))) B)> |
#<alt (/ (+ (* -1 (- x 1)) (* (pow B 2) (+ (* -1 (* (pow B 2) (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 (- x 1)))) (* 1/120 (- x 1)))))) (* -1 (- (* -1/2 x) (* -1/6 (- x 1))))))) B)> |
#<alt (/ (+ (* -1 (- x 1)) (* (pow B 2) (+ (* -1 (- (* -1/2 x) (* -1/6 (- x 1)))) (* (pow B 2) (+ (* -1 (* (pow B 2) (- (* -1/720 x) (+ (* -1/6 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 (- x 1)))) (* 1/120 (- x 1))))) (+ (* -1/5040 (- x 1)) (* 1/120 (- (* -1/2 x) (* -1/6 (- x 1))))))))) (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 (- x 1)))) (* 1/120 (- x 1)))))))))) B)> |
#<alt (* -1 (/ (- (* x (cos B)) 1) (sin B)))> |
#<alt (* -1 (/ (- (* x (cos B)) 1) (sin B)))> |
#<alt (* -1 (/ (- (* x (cos B)) 1) (sin B)))> |
#<alt (* -1 (/ (- (* x (cos B)) 1) (sin B)))> |
#<alt (* -1 (/ (- (* x (cos B)) 1) (sin B)))> |
#<alt (* -1 (/ (- (* x (cos B)) 1) (sin B)))> |
#<alt (* -1 (/ (- (* x (cos B)) 1) (sin B)))> |
#<alt (* -1 (/ (- (* x (cos B)) 1) (sin B)))> |
#<alt (/ 1 (sin B))> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))> |
#<alt (* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))> |
#<alt (* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))> |
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))> |
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))> |
#<alt -1> |
#<alt (- (* x (cos B)) 1)> |
#<alt (- (* x (cos B)) 1)> |
#<alt (- (* x (cos B)) 1)> |
#<alt (* x (cos B))> |
#<alt (* x (- (cos B) (/ 1 x)))> |
#<alt (* x (- (cos B) (/ 1 x)))> |
#<alt (* x (- (cos B) (/ 1 x)))> |
#<alt (* x (cos B))> |
#<alt (* -1 (* x (+ (* -1 (cos B)) (/ 1 x))))> |
#<alt (* -1 (* x (+ (* -1 (cos B)) (/ 1 x))))> |
#<alt (* -1 (* x (+ (* -1 (cos B)) (/ 1 x))))> |
#<alt (- x 1)> |
#<alt (- (+ x (* -1/2 (* (pow B 2) x))) 1)> |
#<alt (- (+ x (* (pow B 2) (+ (* -1/2 x) (* 1/24 (* (pow B 2) x))))) 1)> |
#<alt (- (+ x (* (pow B 2) (+ (* -1/2 x) (* (pow B 2) (+ (* -1/720 (* (pow B 2) x)) (* 1/24 x)))))) 1)> |
#<alt (- (* x (cos B)) 1)> |
#<alt (- (* x (cos B)) 1)> |
#<alt (- (* x (cos B)) 1)> |
#<alt (- (* x (cos B)) 1)> |
#<alt (- (* x (cos B)) 1)> |
#<alt (- (* x (cos B)) 1)> |
#<alt (- (* x (cos B)) 1)> |
#<alt (- (* x (cos B)) 1)> |
#<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 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 (/ x B)> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (/ x B)> |
#<alt (/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B)))))> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B))))))> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B))))))> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B))))))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* x (- (/ (sin B) (* x (- 1/2 (* 1/2 (cos (* 2 B)))))) (/ (cos B) (sin B))))> |
#<alt (* x (- (/ (sin B) (* x (- 1/2 (* 1/2 (cos (* 2 B)))))) (/ (cos B) (sin B))))> |
#<alt (* x (- (/ (sin B) (* x (- 1/2 (* 1/2 (cos (* 2 B)))))) (/ (cos B) (sin B))))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (* x (+ (* -1 (/ (sin B) (* x (- 1/2 (* 1/2 (cos (* 2 B))))))) (/ (cos B) (sin B)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (sin B) (* x (- 1/2 (* 1/2 (cos (* 2 B))))))) (/ (cos B) (sin B)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (sin B) (* x (- 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 (- (/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B))))) (/ (* x (cos B)) (sin B)))> |
#<alt (- (/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B))))) (/ (* x (cos B)) (sin B)))> |
#<alt (- (/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B))))) (/ (* x (cos B)) (sin B)))> |
#<alt (- (/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B))))) (/ (* x (cos B)) (sin B)))> |
#<alt (- (/ (sin B) (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) (/ (* x (cos B)) (sin B)))> |
#<alt (- (/ (sin B) (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) (/ (* x (cos B)) (sin B)))> |
#<alt (- (/ (sin B) (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) (/ (* x (cos B)) (sin B)))> |
#<alt (- (/ (sin B) (- 1/2 (* 1/2 (cos (neg (* -2 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 (* 1/6 (pow B 2))) B)> |
#<alt (/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B)> |
#<alt (/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B)> |
#<alt (* 7/360 (pow B 3))> |
#<alt (* (pow B 3) (+ 7/360 (* 1/6 (/ 1 (pow B 2)))))> |
#<alt (* (pow B 3) (+ 7/360 (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4)))))> |
#<alt (* (pow B 3) (+ 7/360 (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4)))))> |
#<alt (* 7/360 (pow B 3))> |
#<alt (* (pow B 3) (+ 7/360 (* 1/6 (/ 1 (pow B 2)))))> |
#<alt (* -1 (* (pow B 3) (- (* -1 (/ (+ 1/6 (/ 1 (pow B 2))) (pow B 2))) 7/360)))> |
#<alt (* -1 (* (pow B 3) (- (* -1 (/ (+ 1/6 (/ 1 (pow B 2))) (pow B 2))) 7/360)))> |
#<alt (* -1 B)> |
#<alt (* B (- (* 1/6 (pow B 2)) 1))> |
#<alt (* B (- (* (pow B 2) (+ 1/6 (* -1/120 (pow B 2)))) 1))> |
#<alt (* B (- (* (pow B 2) (+ 1/6 (* (pow B 2) (- (* 1/5040 (pow B 2)) 1/120)))) 1))> |
#<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 (* 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 (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 (pow B 2))> |
#<alt (* (pow B 2) (- (* 1/3 (pow B 2)) 1))> |
#<alt (* (pow B 2) (- (* (pow B 2) (+ 1/3 (* -2/45 (pow B 2)))) 1))> |
#<alt (* (pow B 2) (- (* (pow B 2) (+ 1/3 (* (pow B 2) (- (* 1/315 (pow B 2)) 2/45)))) 1))> |
#<alt (* -1 (pow (sin B) 2))> |
#<alt (* -1 (pow (sin B) 2))> |
#<alt (* -1 (pow (sin B) 2))> |
#<alt (* -1 (pow (sin B) 2))> |
#<alt (* -1 (pow (sin B) 2))> |
#<alt (* -1 (pow (sin B) 2))> |
#<alt (* -1 (pow (sin B) 2))> |
#<alt (* -1 (pow (sin 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 (/ (sin B) (+ 1/2 (* -1/2 (cos (* -2 B)))))> |
#<alt (/ (sin B) (+ 1/2 (* -1/2 (cos (* -2 B)))))> |
#<alt (/ (sin B) (+ 1/2 (* -1/2 (cos (* -2 B)))))> |
#<alt (/ (sin B) (+ 1/2 (* -1/2 (cos (* -2 B)))))> |
#<alt (/ (sin B) (+ 1/2 (* -1/2 (cos (* -2 B)))))> |
#<alt (/ (sin B) (+ 1/2 (* -1/2 (cos (* -2 B)))))> |
#<alt (/ (sin B) (+ 1/2 (* -1/2 (cos (* -2 B)))))> |
#<alt (/ (sin B) (+ 1/2 (* -1/2 (cos (* -2 B)))))> |
#<alt (/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B)))))> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B))))))> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B))))))> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B))))))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* x (- (/ (sin B) (* x (- 1/2 (* 1/2 (cos (* 2 B)))))) (/ (cos B) (sin B))))> |
#<alt (* x (- (/ (sin B) (* x (- 1/2 (* 1/2 (cos (* 2 B)))))) (/ (cos B) (sin B))))> |
#<alt (* x (- (/ (sin B) (* x (- 1/2 (* 1/2 (cos (* 2 B)))))) (/ (cos B) (sin B))))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (* x (+ (* -1 (/ (sin B) (* x (- 1/2 (* 1/2 (cos (* 2 B))))))) (/ (cos B) (sin B)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (sin B) (* x (- 1/2 (* 1/2 (cos (* 2 B))))))) (/ (cos B) (sin B)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (sin B) (* x (- 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 (- (/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B))))) (/ (* x (cos B)) (sin B)))> |
#<alt (- (/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B))))) (/ (* x (cos B)) (sin B)))> |
#<alt (- (/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B))))) (/ (* x (cos B)) (sin B)))> |
#<alt (- (/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B))))) (/ (* x (cos B)) (sin B)))> |
#<alt (- (/ (sin B) (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) (/ (* x (cos B)) (sin B)))> |
#<alt (- (/ (sin B) (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) (/ (* x (cos B)) (sin B)))> |
#<alt (- (/ (sin B) (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) (/ (* x (cos B)) (sin B)))> |
#<alt (- (/ (sin B) (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) (/ (* x (cos B)) (sin B)))> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow B 2)))> |
#<alt (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))))> |
#<alt (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))))> |
#<alt (* 7/360 (pow B 4))> |
#<alt (* (pow B 4) (+ 7/360 (* 1/6 (/ 1 (pow B 2)))))> |
#<alt (* (pow B 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4)))))> |
#<alt (* (pow B 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4)))))> |
#<alt (* 7/360 (pow B 4))> |
#<alt (* (pow B 4) (+ 7/360 (* 1/6 (/ 1 (pow B 2)))))> |
#<alt (* (pow B 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4)))))> |
#<alt (* (pow B 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4)))))> |
#<alt 1/6> |
#<alt (+ 1/6 (* 7/360 (pow B 2)))> |
#<alt (+ 1/6 (* 7/360 (pow B 2)))> |
#<alt (+ 1/6 (* 7/360 (pow B 2)))> |
#<alt (* 7/360 (pow B 2))> |
#<alt (* (pow B 2) (+ 7/360 (* 1/6 (/ 1 (pow B 2)))))> |
#<alt (* (pow B 2) (+ 7/360 (* 1/6 (/ 1 (pow B 2)))))> |
#<alt (* (pow B 2) (+ 7/360 (* 1/6 (/ 1 (pow B 2)))))> |
#<alt (* 7/360 (pow B 2))> |
#<alt (* (pow B 2) (+ 7/360 (* 1/6 (/ 1 (pow B 2)))))> |
#<alt (* (pow B 2) (+ 7/360 (* 1/6 (/ 1 (pow B 2)))))> |
#<alt (* (pow B 2) (+ 7/360 (* 1/6 (/ 1 (pow B 2)))))> |
#<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 (pow (sin B) 2)> |
#<alt (pow (sin B) 2)> |
#<alt (pow (sin B) 2)> |
#<alt (pow (sin B) 2)> |
#<alt (pow (sin B) 2)> |
#<alt (pow (sin B) 2)> |
#<alt (pow (sin B) 2)> |
#<alt (pow (sin B) 2)> |
#<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 (pow (sin B) 2))> |
#<alt (/ 1 (pow (sin B) 2))> |
#<alt (/ 1 (pow (sin B) 2))> |
#<alt (/ 1 (pow (sin B) 2))> |
#<alt (/ 1 (pow (sin B) 2))> |
#<alt (/ 1 (pow (sin B) 2))> |
#<alt (/ 1 (pow (sin B) 2))> |
#<alt (/ 1 (pow (sin B) 2))> |
#<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))))> |
87 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | B | @ | 0 | (neg (/ 1 (* (/ 1 (sin B)) (/ 1 (sin B))))) |
| 1.0ms | B | @ | inf | (* (/ -1 (sin B)) (+ (* x (cos B)) -1)) |
| 1.0ms | B | @ | -inf | (* (/ -1 (sin B)) (+ (* x (cos B)) -1)) |
| 1.0ms | x | @ | 0 | (+ (neg (* x (/ 1 (tan B)))) (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0))) |
| 1.0ms | B | @ | 0 | (* (/ -1 (sin B)) (+ (* x (cos B)) -1)) |
| 1× | egg-herbie |
| 13 768× | lower-fma.f64 |
| 13 768× | lower-fma.f32 |
| 6 056× | lower-+.f64 |
| 6 056× | lower-+.f32 |
| 4 534× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 330 | 3508 |
| 1 | 949 | 3476 |
| 2 | 2862 | 3363 |
| 3 | 7725 | 3363 |
| 0 | 8048 | 3121 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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 B) |
(/ (- (* -1/6 (pow B 2)) 1) B) |
(/ (- (* (pow B 2) (- (* -7/360 (pow B 2)) 1/6)) 1) B) |
(/ (- (* (pow B 2) (- (* (pow B 2) (- (* -31/15120 (pow B 2)) 7/360)) 1/6)) 1) 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 (/ (- x 1) B)) |
(/ (+ (* -1 (* (pow B 2) (- (* -1/2 x) (* -1/6 (- x 1))))) (* -1 (- x 1))) B) |
(/ (+ (* -1 (- x 1)) (* (pow B 2) (+ (* -1 (* (pow B 2) (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 (- x 1)))) (* 1/120 (- x 1)))))) (* -1 (- (* -1/2 x) (* -1/6 (- x 1))))))) B) |
(/ (+ (* -1 (- x 1)) (* (pow B 2) (+ (* -1 (- (* -1/2 x) (* -1/6 (- x 1)))) (* (pow B 2) (+ (* -1 (* (pow B 2) (- (* -1/720 x) (+ (* -1/6 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 (- x 1)))) (* 1/120 (- x 1))))) (+ (* -1/5040 (- x 1)) (* 1/120 (- (* -1/2 x) (* -1/6 (- x 1))))))))) (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 (- x 1)))) (* 1/120 (- x 1)))))))))) B) |
(* -1 (/ (- (* x (cos B)) 1) (sin B))) |
(* -1 (/ (- (* x (cos B)) 1) (sin B))) |
(* -1 (/ (- (* x (cos B)) 1) (sin B))) |
(* -1 (/ (- (* x (cos B)) 1) (sin B))) |
(* -1 (/ (- (* x (cos B)) 1) (sin B))) |
(* -1 (/ (- (* x (cos B)) 1) (sin B))) |
(* -1 (/ (- (* x (cos B)) 1) (sin B))) |
(* -1 (/ (- (* x (cos B)) 1) (sin B))) |
(/ 1 (sin B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) |
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) |
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
-1 |
(- (* x (cos B)) 1) |
(- (* x (cos B)) 1) |
(- (* x (cos B)) 1) |
(* x (cos B)) |
(* x (- (cos B) (/ 1 x))) |
(* x (- (cos B) (/ 1 x))) |
(* x (- (cos B) (/ 1 x))) |
(* x (cos B)) |
(* -1 (* x (+ (* -1 (cos B)) (/ 1 x)))) |
(* -1 (* x (+ (* -1 (cos B)) (/ 1 x)))) |
(* -1 (* x (+ (* -1 (cos B)) (/ 1 x)))) |
(- x 1) |
(- (+ x (* -1/2 (* (pow B 2) x))) 1) |
(- (+ x (* (pow B 2) (+ (* -1/2 x) (* 1/24 (* (pow B 2) x))))) 1) |
(- (+ x (* (pow B 2) (+ (* -1/2 x) (* (pow B 2) (+ (* -1/720 (* (pow B 2) x)) (* 1/24 x)))))) 1) |
(- (* x (cos B)) 1) |
(- (* x (cos B)) 1) |
(- (* x (cos B)) 1) |
(- (* x (cos B)) 1) |
(- (* x (cos B)) 1) |
(- (* x (cos B)) 1) |
(- (* x (cos B)) 1) |
(- (* x (cos B)) 1) |
(/ (- 1 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 B) |
(/ 1 B) |
(/ 1 B) |
(/ 1 B) |
(/ 1 B) |
(/ 1 B) |
(/ 1 B) |
(/ 1 B) |
(/ 1 B) |
(/ 1 B) |
(/ 1 B) |
(/ x B) |
(/ x B) |
(/ x B) |
(/ x B) |
(/ x B) |
(/ x B) |
(/ x B) |
(/ x B) |
(/ x B) |
(/ x B) |
(/ x B) |
(/ x B) |
(/ x B) |
(/ x B) |
(/ x B) |
(/ x B) |
(/ x B) |
(/ x B) |
(/ x B) |
(/ x B) |
(/ x B) |
(/ x B) |
(/ x B) |
(/ x B) |
(/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B)))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B)))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B)))))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* x (- (/ (sin B) (* x (- 1/2 (* 1/2 (cos (* 2 B)))))) (/ (cos B) (sin B)))) |
(* x (- (/ (sin B) (* x (- 1/2 (* 1/2 (cos (* 2 B)))))) (/ (cos B) (sin B)))) |
(* x (- (/ (sin B) (* x (- 1/2 (* 1/2 (cos (* 2 B)))))) (/ (cos B) (sin B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (* x (+ (* -1 (/ (sin B) (* x (- 1/2 (* 1/2 (cos (* 2 B))))))) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (sin B) (* x (- 1/2 (* 1/2 (cos (* 2 B))))))) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (sin B) (* x (- 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) |
(- (/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B))))) (/ (* x (cos B)) (sin B))) |
(- (/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B))))) (/ (* x (cos B)) (sin B))) |
(- (/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B))))) (/ (* x (cos B)) (sin B))) |
(- (/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B))))) (/ (* x (cos B)) (sin B))) |
(- (/ (sin B) (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) (/ (* x (cos B)) (sin B))) |
(- (/ (sin B) (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) (/ (* x (cos B)) (sin B))) |
(- (/ (sin B) (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) (/ (* x (cos B)) (sin B))) |
(- (/ (sin B) (- 1/2 (* 1/2 (cos (neg (* -2 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 (* 1/6 (pow B 2))) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B) |
(* 7/360 (pow B 3)) |
(* (pow B 3) (+ 7/360 (* 1/6 (/ 1 (pow B 2))))) |
(* (pow B 3) (+ 7/360 (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4))))) |
(* (pow B 3) (+ 7/360 (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4))))) |
(* 7/360 (pow B 3)) |
(* (pow B 3) (+ 7/360 (* 1/6 (/ 1 (pow B 2))))) |
(* -1 (* (pow B 3) (- (* -1 (/ (+ 1/6 (/ 1 (pow B 2))) (pow B 2))) 7/360))) |
(* -1 (* (pow B 3) (- (* -1 (/ (+ 1/6 (/ 1 (pow B 2))) (pow B 2))) 7/360))) |
(* -1 B) |
(* B (- (* 1/6 (pow B 2)) 1)) |
(* B (- (* (pow B 2) (+ 1/6 (* -1/120 (pow B 2)))) 1)) |
(* B (- (* (pow B 2) (+ 1/6 (* (pow B 2) (- (* 1/5040 (pow B 2)) 1/120)))) 1)) |
(* -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 (* 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 (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 (pow B 2)) |
(* (pow B 2) (- (* 1/3 (pow B 2)) 1)) |
(* (pow B 2) (- (* (pow B 2) (+ 1/3 (* -2/45 (pow B 2)))) 1)) |
(* (pow B 2) (- (* (pow B 2) (+ 1/3 (* (pow B 2) (- (* 1/315 (pow B 2)) 2/45)))) 1)) |
(* -1 (pow (sin B) 2)) |
(* -1 (pow (sin B) 2)) |
(* -1 (pow (sin B) 2)) |
(* -1 (pow (sin B) 2)) |
(* -1 (pow (sin B) 2)) |
(* -1 (pow (sin B) 2)) |
(* -1 (pow (sin B) 2)) |
(* -1 (pow (sin 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) |
(/ (sin B) (+ 1/2 (* -1/2 (cos (* -2 B))))) |
(/ (sin B) (+ 1/2 (* -1/2 (cos (* -2 B))))) |
(/ (sin B) (+ 1/2 (* -1/2 (cos (* -2 B))))) |
(/ (sin B) (+ 1/2 (* -1/2 (cos (* -2 B))))) |
(/ (sin B) (+ 1/2 (* -1/2 (cos (* -2 B))))) |
(/ (sin B) (+ 1/2 (* -1/2 (cos (* -2 B))))) |
(/ (sin B) (+ 1/2 (* -1/2 (cos (* -2 B))))) |
(/ (sin B) (+ 1/2 (* -1/2 (cos (* -2 B))))) |
(/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B)))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B)))))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B)))))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* x (- (/ (sin B) (* x (- 1/2 (* 1/2 (cos (* 2 B)))))) (/ (cos B) (sin B)))) |
(* x (- (/ (sin B) (* x (- 1/2 (* 1/2 (cos (* 2 B)))))) (/ (cos B) (sin B)))) |
(* x (- (/ (sin B) (* x (- 1/2 (* 1/2 (cos (* 2 B)))))) (/ (cos B) (sin B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (* x (+ (* -1 (/ (sin B) (* x (- 1/2 (* 1/2 (cos (* 2 B))))))) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (sin B) (* x (- 1/2 (* 1/2 (cos (* 2 B))))))) (/ (cos B) (sin B))))) |
(* -1 (* x (+ (* -1 (/ (sin B) (* x (- 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) |
(- (/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B))))) (/ (* x (cos B)) (sin B))) |
(- (/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B))))) (/ (* x (cos B)) (sin B))) |
(- (/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B))))) (/ (* x (cos B)) (sin B))) |
(- (/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B))))) (/ (* x (cos B)) (sin B))) |
(- (/ (sin B) (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) (/ (* x (cos B)) (sin B))) |
(- (/ (sin B) (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) (/ (* x (cos B)) (sin B))) |
(- (/ (sin B) (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) (/ (* x (cos B)) (sin B))) |
(- (/ (sin B) (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) (/ (* x (cos B)) (sin B))) |
1 |
(+ 1 (* 1/6 (pow B 2))) |
(+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) |
(+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) |
(* 7/360 (pow B 4)) |
(* (pow B 4) (+ 7/360 (* 1/6 (/ 1 (pow B 2))))) |
(* (pow B 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4))))) |
(* (pow B 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4))))) |
(* 7/360 (pow B 4)) |
(* (pow B 4) (+ 7/360 (* 1/6 (/ 1 (pow B 2))))) |
(* (pow B 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4))))) |
(* (pow B 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4))))) |
1/6 |
(+ 1/6 (* 7/360 (pow B 2))) |
(+ 1/6 (* 7/360 (pow B 2))) |
(+ 1/6 (* 7/360 (pow B 2))) |
(* 7/360 (pow B 2)) |
(* (pow B 2) (+ 7/360 (* 1/6 (/ 1 (pow B 2))))) |
(* (pow B 2) (+ 7/360 (* 1/6 (/ 1 (pow B 2))))) |
(* (pow B 2) (+ 7/360 (* 1/6 (/ 1 (pow B 2))))) |
(* 7/360 (pow B 2)) |
(* (pow B 2) (+ 7/360 (* 1/6 (/ 1 (pow B 2))))) |
(* (pow B 2) (+ 7/360 (* 1/6 (/ 1 (pow B 2))))) |
(* (pow B 2) (+ 7/360 (* 1/6 (/ 1 (pow B 2))))) |
(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)))) |
(pow (sin B) 2) |
(pow (sin B) 2) |
(pow (sin B) 2) |
(pow (sin B) 2) |
(pow (sin B) 2) |
(pow (sin B) 2) |
(pow (sin B) 2) |
(pow (sin B) 2) |
(/ 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 (pow (sin B) 2)) |
(/ 1 (pow (sin B) 2)) |
(/ 1 (pow (sin B) 2)) |
(/ 1 (pow (sin B) 2)) |
(/ 1 (pow (sin B) 2)) |
(/ 1 (pow (sin B) 2)) |
(/ 1 (pow (sin B) 2)) |
(/ 1 (pow (sin B) 2)) |
(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)))) |
| Outputs |
|---|
B |
(* B (+ 1 (* -1/6 (pow B 2)))) |
(fma.f64 B (*.f64 #s(literal -1/6 binary64) (*.f64 B B)) B) |
(* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6)))) |
(fma.f64 (*.f64 B B) (*.f64 (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) B) B) |
(* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6)))) |
(fma.f64 (*.f64 B B) (*.f64 (fma.f64 B (*.f64 B (fma.f64 B (*.f64 B #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) B) B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(sin B) |
(sin.f64 B) |
(/ -1 B) |
(/.f64 #s(literal -1 binary64) B) |
(/ (- (* -1/6 (pow B 2)) 1) B) |
(/.f64 (fma.f64 B (*.f64 B #s(literal -1/6 binary64)) #s(literal -1 binary64)) B) |
(/ (- (* (pow B 2) (- (* -7/360 (pow B 2)) 1/6)) 1) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal -7/360 binary64)) #s(literal -1/6 binary64)) #s(literal -1 binary64)) B) |
(/ (- (* (pow B 2) (- (* (pow B 2) (- (* -31/15120 (pow B 2)) 7/360)) 1/6)) 1) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal -31/15120 binary64) #s(literal -7/360 binary64)) #s(literal -1/6 binary64)) #s(literal -1 binary64)) B) |
(/ -1 (sin B)) |
(/.f64 #s(literal -1 binary64) (sin.f64 B)) |
(/ -1 (sin B)) |
(/.f64 #s(literal -1 binary64) (sin.f64 B)) |
(/ -1 (sin B)) |
(/.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 (/ (- x 1) B)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(/ (+ (* -1 (* (pow B 2) (- (* -1/2 x) (* -1/6 (- x 1))))) (* -1 (- x 1))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(/ (+ (* -1 (- x 1)) (* (pow B 2) (+ (* -1 (* (pow B 2) (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 (- x 1)))) (* 1/120 (- x 1)))))) (* -1 (- (* -1/2 x) (* -1/6 (- x 1))))))) B) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/24 binary64) (fma.f64 #s(literal -1/6 binary64) (fma.f64 x #s(literal -1/2 binary64) (fma.f64 #s(literal 1/6 binary64) x #s(literal -1/6 binary64))) (fma.f64 #s(literal 1/120 binary64) x #s(literal -1/120 binary64)))) (fma.f64 x #s(literal 1/2 binary64) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/6 binary64)))) #s(literal 1 binary64)) x) B) |
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(*.f64 x (-.f64 (/.f64 (sin.f64 B) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(* x (- (/ (sin B) (* x (- 1/2 (* 1/2 (cos (* 2 B)))))) (/ (cos B) (sin B)))) |
(*.f64 x (-.f64 (/.f64 (sin.f64 B) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (* x (+ (* -1 (/ (sin B) (* x (- 1/2 (* 1/2 (cos (* 2 B))))))) (/ (cos B) (sin B))))) |
(*.f64 x (-.f64 (/.f64 (sin.f64 B) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(* -1 (* x (+ (* -1 (/ (sin B) (* x (- 1/2 (* 1/2 (cos (* 2 B))))))) (/ (cos B) (sin B))))) |
(*.f64 x (-.f64 (/.f64 (sin.f64 B) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (/.f64 (cos.f64 B) (sin.f64 B)))) |
(* -1 (* x (+ (* -1 (/ (sin B) (* x (- 1/2 (* 1/2 (cos (* 2 B))))))) (/ (cos B) (sin B))))) |
(*.f64 x (-.f64 (/.f64 (sin.f64 B) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (/.f64 (cos.f64 B) (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 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(- (/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B))) (/.f64 (sin.f64 B) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(- (/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B))) (/.f64 (sin.f64 B) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(- (/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B))) (/.f64 (sin.f64 B) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(- (/ (sin B) (- 1/2 (* 1/2 (cos (* 2 B))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B))) (/.f64 (sin.f64 B) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(- (/ (sin B) (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B))) (/.f64 (sin.f64 B) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(- (/ (sin B) (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B))) (/.f64 (sin.f64 B) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(- (/ (sin B) (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B))) (/.f64 (sin.f64 B) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
(- (/ (sin B) (- 1/2 (* 1/2 (cos (neg (* -2 B)))))) (/ (* x (cos B)) (sin B))) |
(fma.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B))) (/.f64 (sin.f64 B) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow B 2))) |
(fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) |
(fma.f64 B (*.f64 B (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) |
(fma.f64 B (*.f64 B (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(* 7/360 (pow B 4)) |
(*.f64 B (*.f64 B (*.f64 (*.f64 B B) #s(literal 7/360 binary64)))) |
(* (pow B 4) (+ 7/360 (* 1/6 (/ 1 (pow B 2))))) |
(*.f64 (+.f64 #s(literal 7/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 B B))) (*.f64 (*.f64 B B) (*.f64 B B))) |
(* (pow B 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4))))) |
(fma.f64 (+.f64 #s(literal 7/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 B B))) (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1 binary64)) |
(* (pow B 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4))))) |
(fma.f64 (+.f64 #s(literal 7/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 B B))) (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1 binary64)) |
(* 7/360 (pow B 4)) |
(*.f64 B (*.f64 B (*.f64 (*.f64 B B) #s(literal 7/360 binary64)))) |
(* (pow B 4) (+ 7/360 (* 1/6 (/ 1 (pow B 2))))) |
(*.f64 (+.f64 #s(literal 7/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 B B))) (*.f64 (*.f64 B B) (*.f64 B B))) |
(* (pow B 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4))))) |
(fma.f64 (+.f64 #s(literal 7/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 B B))) (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1 binary64)) |
(* (pow B 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4))))) |
(fma.f64 (+.f64 #s(literal 7/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 B B))) (*.f64 (*.f64 B B) (*.f64 B B)) #s(literal 1 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 7/360 (pow B 2))) |
(fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) |
(+ 1/6 (* 7/360 (pow B 2))) |
(fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) |
(+ 1/6 (* 7/360 (pow B 2))) |
(fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) |
(* 7/360 (pow B 2)) |
(*.f64 (*.f64 B B) #s(literal 7/360 binary64)) |
(* (pow B 2) (+ 7/360 (* 1/6 (/ 1 (pow B 2))))) |
(fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) |
(* (pow B 2) (+ 7/360 (* 1/6 (/ 1 (pow B 2))))) |
(fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) |
(* (pow B 2) (+ 7/360 (* 1/6 (/ 1 (pow B 2))))) |
(fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) |
(* 7/360 (pow B 2)) |
(*.f64 (*.f64 B B) #s(literal 7/360 binary64)) |
(* (pow B 2) (+ 7/360 (* 1/6 (/ 1 (pow B 2))))) |
(fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) |
(* (pow B 2) (+ 7/360 (* 1/6 (/ 1 (pow B 2))))) |
(fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) |
(* (pow B 2) (+ 7/360 (* 1/6 (/ 1 (pow B 2))))) |
(fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) |
(pow B 2) |
(*.f64 B B) |
(* (pow B 2) (+ 1 (* -1/3 (pow B 2)))) |
(*.f64 B (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/3 binary64)) B)) |
(* (pow B 2) (+ 1 (* (pow B 2) (- (* 2/45 (pow B 2)) 1/3)))) |
(*.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal 2/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64))) |
(* (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 B (*.f64 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))) |
(pow (sin B) 2) |
(pow.f64 (sin.f64 B) #s(literal 2 binary64)) |
(pow (sin B) 2) |
(pow.f64 (sin.f64 B) #s(literal 2 binary64)) |
(pow (sin B) 2) |
(pow.f64 (sin.f64 B) #s(literal 2 binary64)) |
(pow (sin B) 2) |
(pow.f64 (sin.f64 B) #s(literal 2 binary64)) |
(pow (sin B) 2) |
(pow.f64 (sin.f64 B) #s(literal 2 binary64)) |
(pow (sin B) 2) |
(pow.f64 (sin.f64 B) #s(literal 2 binary64)) |
(pow (sin B) 2) |
(pow.f64 (sin.f64 B) #s(literal 2 binary64)) |
(pow (sin B) 2) |
(pow.f64 (sin.f64 B) #s(literal 2 binary64)) |
(/ 1 (pow B 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 B B)) |
(/ (+ 1 (* 1/3 (pow B 2))) (pow B 2)) |
(/.f64 (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal 1 binary64)) (*.f64 B B)) |
(/ (+ 1 (* (pow B 2) (+ 1/3 (* 1/15 (pow B 2))))) (pow B 2)) |
(/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/15 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (*.f64 B B)) |
(/ (+ 1 (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/15 (* 2/189 (pow B 2))))))) (pow B 2)) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (*.f64 B B)) |
(/ 1 (pow (sin B) 2)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 B) #s(literal 2 binary64))) |
(/ 1 (pow (sin B) 2)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 B) #s(literal 2 binary64))) |
(/ 1 (pow (sin B) 2)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 B) #s(literal 2 binary64))) |
(/ 1 (pow (sin B) 2)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 B) #s(literal 2 binary64))) |
(/ 1 (pow (sin B) 2)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 B) #s(literal 2 binary64))) |
(/ 1 (pow (sin B) 2)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 B) #s(literal 2 binary64))) |
(/ 1 (pow (sin B) 2)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 B) #s(literal 2 binary64))) |
(/ 1 (pow (sin B) 2)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 B) #s(literal 2 binary64))) |
(pow B 2) |
(*.f64 B B) |
(* (pow B 2) (+ 1 (* -1/3 (pow B 2)))) |
(*.f64 B (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/3 binary64)) B)) |
(* (pow B 2) (+ 1 (* (pow B 2) (- (* 2/45 (pow B 2)) 1/3)))) |
(*.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal 2/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64))) |
(* (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 B (*.f64 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 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (* -2 B)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (* -2 B)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (* -2 B)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (* -2 B)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (* -2 B)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (* -2 B)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1/2 (cos (* -2 B)))) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
| 1× | batch-egg-rewrite |
| 1 680× | lower-fma.f32 |
| 1 672× | lower-fma.f64 |
| 1 370× | lower-*.f32 |
| 1 360× | lower-*.f64 |
| 1 208× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 239 |
| 0 | 87 | 152 |
| 1 | 369 | 134 |
| 0 | 3506 | 134 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(sin.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))) |
(fma.f64 x (cos.f64 B) #s(literal -1 binary64)) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ x (tan B)) (/.f64 x B))) |
(/.f64 #s(literal 1 binary64) B) |
(/.f64 x B) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B))) |
(neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B) |
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(/.f64 (sin.f64 B) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (sin.f64 B) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))) |
(*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) |
(fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)))) #s(literal 0 binary64))) |
(+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B))) (/.f64 #s(literal 0 binary64) (*.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B))))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)))) |
(sin.f64 B) |
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(*.f64 (/.f64 (*.f64 (*.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B))) (*.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)))) (*.f64 (*.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B))) (*.f64 (*.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B))) (*.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)))))) (*.f64 (*.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B))) (*.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B))))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B))) (*.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)))) (*.f64 (*.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B))) (*.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B))))) (*.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64))) |
(+.f64 (*.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 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)) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/4 binary64)))) (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) (/.f64 (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal -1/4 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 (pow.f64 (*.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64)) #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 (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 1/4 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/4 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) |
(/.f64 (neg.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))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64)) #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 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 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) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64)) #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 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64)) #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)))) |
Compiled 17 874 to 1 629 computations (90.9% saved)
36 alts after pruning (31 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 775 | 17 | 792 |
| Fresh | 5 | 14 | 19 |
| Picked | 4 | 1 | 5 |
| Done | 2 | 4 | 6 |
| Total | 786 | 36 | 822 |
| Status | Accuracy | Program |
|---|---|---|
| 76.0% | (fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B))) | |
| 36.6% | (/.f64 (fma.f64 x (sin.f64 B) (tan.f64 B)) (*.f64 (tan.f64 B) (sin.f64 B))) | |
| 37.2% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B))) (/.f64 #s(literal 1 binary64) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))))) | |
| 17.7% | (/.f64 (*.f64 (+.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (-.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))) (+.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))) | |
| 17.7% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (*.f64 (+.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (-.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))))) | |
| 75.3% | (-.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 B)) #s(literal -1 binary64))) (/.f64 x (tan.f64 B))) | |
| 76.0% | (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 #s(literal 1 binary64) x))) | |
| ✓ | 76.1% | (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))) |
| 50.1% | (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x #s(approx (tan B) (fma.f64 (*.f64 B B) (*.f64 B #s(literal 1/3 binary64)) B)))) | |
| 76.0% | (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))) | |
| 49.9% | (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ x (tan B)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 x #s(literal 2/945 binary64)) (neg.f64 (*.f64 B B)) (*.f64 x #s(literal -1/45 binary64))) (*.f64 x #s(literal -1/3 binary64))) x) B))) | |
| 50.1% | (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ x (tan B)) (/.f64 (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 B B)) x) B))) | |
| 50.0% | (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ x (tan B)) (/.f64 (-.f64 x (*.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (*.f64 B B))) B))) | |
| ✓ | 50.1% | (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ x (tan B)) (/.f64 x B))) |
| 30.0% | (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) | |
| 50.2% | (+.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))) | |
| 50.1% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (-.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B))) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B))))) | |
| 29.4% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (/ 1 (sin B)) (/ 1 (sin B))) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal 1 binary64)) (*.f64 B B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) | |
| 29.1% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (/ 1 (sin B)) (/ 1 (sin B))) (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/15 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (*.f64 B B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) | |
| 50.1% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal -1 binary64) #s(approx (* (neg (/ 1 (* (/ 1 (sin B)) (/ 1 (sin B))))) (/ 1 (sin B))) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))))) | |
| 50.2% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal -1 binary64) #s(approx (* (neg (/ 1 (* (/ 1 (sin B)) (/ 1 (sin B))))) (/ 1 (sin B))) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal -1 binary64)))))) | |
| 50.0% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal -1 binary64) #s(approx (* (neg (/ 1 (* (/ 1 (sin B)) (/ 1 (sin B))))) (/ 1 (sin B))) (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal -1 binary64)))))) | |
| 49.9% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B))) | |
| 49.9% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B))) | |
| 50.1% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) B))) | |
| 30.1% | (+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64))) B)) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) | |
| 17.7% | (*.f64 (*.f64 (+.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (-.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))))) | |
| 50.0% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) | |
| 50.0% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) | |
| 99.7% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (neg.f64 (sin.f64 B)))) | |
| 50.2% | #s(approx (- (/ 1 (sin B)) (/ x (tan 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)) | |
| 52.5% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) | |
| 33.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0))) (/.f64 (sin.f64 B) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64)))) | |
| ✓ | 50.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin 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)) |
| ✓ | 50.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
| ✓ | 49.3% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
Compiled 1 817 to 658 computations (63.8% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin 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)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan 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)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) B))) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ x (tan B)) (/.f64 (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 B B)) x) B))) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x #s(approx (tan B) (fma.f64 (*.f64 B B) (*.f64 B #s(literal 1/3 binary64)) B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal -1 binary64) #s(approx (* (neg (/ 1 (* (/ 1 (sin B)) (/ 1 (sin B))))) (/ 1 (sin B))) (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal -1 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin 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)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 B (*.f64 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)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal -1 binary64) #s(approx (* (neg (/ 1 (* (/ 1 (sin B)) (/ 1 (sin B))))) (/ 1 (sin B))) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))))) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ x (tan B)) (/.f64 (-.f64 x (*.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (*.f64 B B))) B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin 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)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal -1 binary64) #s(approx (* (neg (/ 1 (* (/ 1 (sin B)) (/ 1 (sin B))))) (/ 1 (sin B))) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal -1 binary64)))))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ x (tan B)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 x #s(literal 2/945 binary64)) (neg.f64 (*.f64 B B)) (*.f64 x #s(literal -1/45 binary64))) (*.f64 x #s(literal -1/3 binary64))) x) B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (/ 1 (sin B)) (/ 1 (sin B))) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal 1 binary64)) (*.f64 B B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(/.f64 (*.f64 (+.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (-.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))) (+.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (/ 1 (sin B)) (/ 1 (sin B))) (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/15 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (*.f64 B B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(*.f64 (*.f64 (+.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (-.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64))) B)) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (*.f64 (+.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (-.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))))) |
(+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (-.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B))) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B))) (/.f64 #s(literal 1 binary64) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))))) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (neg.f64 (sin.f64 B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0))) (/.f64 (sin.f64 B) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+.f64 (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (sin.f64 B) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)))) |
(fma.f64 #s(approx (/ 1 (tan B)) (/.f64 (cos.f64 B) (sin.f64 B))) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+.f64 (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 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (sin.f64 B) (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 (tan.f64 B))) (/.f64 #s(approx (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 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)))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)))) |
(+.f64 (neg.f64 (/.f64 x (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 (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 (exp.f64 (*.f64 (log.f64 (sin.f64 B)) #s(literal -1 binary64))) (/.f64 x (tan.f64 B))) |
(/.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 (+.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)) (*.f64 (/.f64 (tan.f64 B) x) (sin.f64 B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))))) (/.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))))) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
3 calls:
| 20.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 18.0ms | B |
| 17.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 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 |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin 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)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan 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)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) B))) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ x (tan B)) (/.f64 (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 B B)) x) B))) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x #s(approx (tan B) (fma.f64 (*.f64 B B) (*.f64 B #s(literal 1/3 binary64)) B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal -1 binary64) #s(approx (* (neg (/ 1 (* (/ 1 (sin B)) (/ 1 (sin B))))) (/ 1 (sin B))) (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal -1 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin 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)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 B (*.f64 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)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal -1 binary64) #s(approx (* (neg (/ 1 (* (/ 1 (sin B)) (/ 1 (sin B))))) (/ 1 (sin B))) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))))) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ x (tan B)) (/.f64 (-.f64 x (*.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (*.f64 B B))) B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin 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)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal -1 binary64) #s(approx (* (neg (/ 1 (* (/ 1 (sin B)) (/ 1 (sin B))))) (/ 1 (sin B))) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal -1 binary64)))))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ x (tan B)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 x #s(literal 2/945 binary64)) (neg.f64 (*.f64 B B)) (*.f64 x #s(literal -1/45 binary64))) (*.f64 x #s(literal -1/3 binary64))) x) B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (/ 1 (sin B)) (/ 1 (sin B))) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal 1 binary64)) (*.f64 B B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(/.f64 (*.f64 (+.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (-.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))) (+.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (/ 1 (sin B)) (/ 1 (sin B))) (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/15 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (*.f64 B B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(*.f64 (*.f64 (+.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (-.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64))) B)) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (*.f64 (+.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (-.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))))) |
(+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (-.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B))) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B))) (/.f64 #s(literal 1 binary64) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))))) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (neg.f64 (sin.f64 B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0))) (/.f64 (sin.f64 B) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64)))) |
| Outputs |
|---|
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (neg.f64 (sin.f64 B)))) |
3 calls:
| 16.0ms | B |
| 12.0ms | x |
| 12.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | B |
| 99.7% | 1 | x |
| 99.7% | 1 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin 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)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan 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)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) B))) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ x (tan B)) (/.f64 (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 B B)) x) B))) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x #s(approx (tan B) (fma.f64 (*.f64 B B) (*.f64 B #s(literal 1/3 binary64)) B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal -1 binary64) #s(approx (* (neg (/ 1 (* (/ 1 (sin B)) (/ 1 (sin B))))) (/ 1 (sin B))) (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal -1 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin 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)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 B (*.f64 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)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal -1 binary64) #s(approx (* (neg (/ 1 (* (/ 1 (sin B)) (/ 1 (sin B))))) (/ 1 (sin B))) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))))) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ x (tan B)) (/.f64 (-.f64 x (*.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (*.f64 B B))) B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin 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)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal -1 binary64) #s(approx (* (neg (/ 1 (* (/ 1 (sin B)) (/ 1 (sin B))))) (/ 1 (sin B))) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal -1 binary64)))))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ x (tan B)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 x #s(literal 2/945 binary64)) (neg.f64 (*.f64 B B)) (*.f64 x #s(literal -1/45 binary64))) (*.f64 x #s(literal -1/3 binary64))) x) B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (/ 1 (sin B)) (/ 1 (sin B))) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal 1 binary64)) (*.f64 B B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(/.f64 (*.f64 (+.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (-.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))) (+.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (/ 1 (sin B)) (/ 1 (sin B))) (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/15 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (*.f64 B B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(*.f64 (*.f64 (+.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (-.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64))) B)) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (*.f64 (+.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (-.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))))) |
(+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (-.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B))) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B))) (/.f64 #s(literal 1 binary64) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))))) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x))) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) |
| Outputs |
|---|
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))) |
3 calls:
| 12.0ms | x |
| 12.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 11.0ms | B |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.2% | 4 | B |
| 99.2% | 3 | x |
| 99.2% | 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 |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin 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)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan 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)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) B))) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ x (tan B)) (/.f64 (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 B B)) x) B))) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x #s(approx (tan B) (fma.f64 (*.f64 B B) (*.f64 B #s(literal 1/3 binary64)) B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal -1 binary64) #s(approx (* (neg (/ 1 (* (/ 1 (sin B)) (/ 1 (sin B))))) (/ 1 (sin B))) (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal -1 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin 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)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 B (*.f64 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)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal -1 binary64) #s(approx (* (neg (/ 1 (* (/ 1 (sin B)) (/ 1 (sin B))))) (/ 1 (sin B))) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))))) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ x (tan B)) (/.f64 (-.f64 x (*.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (*.f64 B B))) B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin 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)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal -1 binary64) #s(approx (* (neg (/ 1 (* (/ 1 (sin B)) (/ 1 (sin B))))) (/ 1 (sin B))) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal -1 binary64)))))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ x (tan B)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 x #s(literal 2/945 binary64)) (neg.f64 (*.f64 B B)) (*.f64 x #s(literal -1/45 binary64))) (*.f64 x #s(literal -1/3 binary64))) x) B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (/ 1 (sin B)) (/ 1 (sin B))) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal 1 binary64)) (*.f64 B B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(/.f64 (*.f64 (+.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (-.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))) (+.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (/ 1 (sin B)) (/ 1 (sin B))) (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/15 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (*.f64 B B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(*.f64 (*.f64 (+.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (-.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64))) B)) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (*.f64 (+.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (-.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))))) |
(+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (-.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B))) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B))) (/.f64 #s(literal 1 binary64) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))))) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin 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)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
3 calls:
| 19.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 9.0ms | x |
| 9.0ms | B |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.5% | 2 | B |
| 73.7% | 3 | x |
| 73.9% | 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 |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ x (tan B)) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin 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)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan 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)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) B))) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ x (tan B)) (/.f64 (fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 B B)) x) B))) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x #s(approx (tan B) (fma.f64 (*.f64 B B) (*.f64 B #s(literal 1/3 binary64)) B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal -1 binary64) #s(approx (* (neg (/ 1 (* (/ 1 (sin B)) (/ 1 (sin B))))) (/ 1 (sin B))) (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal -1 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin 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)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 B (*.f64 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)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal -1 binary64) #s(approx (* (neg (/ 1 (* (/ 1 (sin B)) (/ 1 (sin B))))) (/ 1 (sin B))) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal -1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))))) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ x (tan B)) (/.f64 (-.f64 x (*.f64 (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (*.f64 B B))) B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin 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)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal -1 binary64) #s(approx (* (neg (/ 1 (* (/ 1 (sin B)) (/ 1 (sin B))))) (/ 1 (sin B))) (*.f64 B (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)) #s(literal -1 binary64)))))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ x (tan B)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 (*.f64 x #s(literal 2/945 binary64)) (neg.f64 (*.f64 B B)) (*.f64 x #s(literal -1/45 binary64))) (*.f64 x #s(literal -1/3 binary64))) x) B))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (/ 1 (sin B)) (/ 1 (sin B))) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal 1 binary64)) (*.f64 B B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(/.f64 (*.f64 (+.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (-.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))) (+.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (/ 1 (sin B)) (/ 1 (sin B))) (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal 1/15 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (*.f64 B B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(*.f64 (*.f64 (+.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (-.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))))) |
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (*.f64 x (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64))) B)) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (*.f64 (+.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (-.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))))) |
(+.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (-.f64 #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B))) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B))) #s(approx (/ (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) (- (/ 1 (sin B)) 0)) (/.f64 #s(literal 1 binary64) B))))) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin 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)) |
3 calls:
| 16.0ms | B |
| 9.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.2% | 1 | x |
| 50.2% | 1 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 50.2% | 1 | B |
Compiled 20 to 14 computations (30% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) #s(approx (/ x (tan B)) (/.f64 x B))) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) 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))) |
| 1.0ms | B |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.1% | 1 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 50.1% | 1 | B |
| 50.1% | 1 | x |
Compiled 20 to 14 computations (30% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 70.21536597093245 | 559931642.0365226 |
| 0.0ms | -5175897583639.453 | -40.86793662095709 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.7900972316549131 | 2.4811328735531992 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | egg-herbie |
| 26× | +-commutative_binary64 |
| 26× | sub-neg_binary64 |
| 22× | *-commutative_binary64 |
| 18× | neg-sub0_binary64 |
| 18× | neg-mul-1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 208 |
| 1 | 84 | 206 |
| 2 | 112 | 206 |
| 3 | 128 | 206 |
| 4 | 140 | 206 |
| 5 | 142 | 206 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (neg.f64 (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 -5000000000000 binary64)) (-.f64 #s(approx (/ 1 (sin B)) (/.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 100 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))))) |
(if (<=.f64 B #s(literal 1 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin 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)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin 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)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 x (cos.f64 B) #s(literal -1 binary64)) (neg.f64 (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 -5000000000000 binary64)) (-.f64 #s(approx (/ 1 (sin B)) (/.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 100 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (-.f64 #s(approx (/ 1 (sin B)) (/.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 -5000000000000 binary64)) (-.f64 #s(approx (/ 1 (sin B)) (/.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 100 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))))) |
(if (<=.f64 B #s(literal 1 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin 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)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin 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)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
| 25 592× | lower-fma.f64 |
| 25 592× | lower-fma.f32 |
| 16 558× | lower-fma.f64 |
| 16 558× | lower-fma.f32 |
| 13 768× | lower-fma.f64 |
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 |
| 0 | 135 | 913 |
| 1 | 368 | 906 |
| 2 | 1218 | 888 |
| 3 | 4458 | 883 |
| 4 | 7788 | 881 |
| 0 | 8237 | 848 |
| 0 | 330 | 3508 |
| 1 | 949 | 3476 |
| 2 | 2862 | 3363 |
| 3 | 7725 | 3363 |
| 0 | 8048 | 3121 |
| 0 | 269 | 3168 |
| 1 | 833 | 3101 |
| 2 | 2593 | 3007 |
| 3 | 6780 | 2996 |
| 0 | 8029 | 2775 |
| 0 | 227 | 2050 |
| 1 | 615 | 2040 |
| 2 | 1785 | 2002 |
| 3 | 4748 | 1966 |
| 4 | 7603 | 1966 |
| 0 | 8113 | 1816 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 197 to 100 computations (49.2% saved)
(negabs B)
Compiled 296 to 130 computations (56.1% saved)
Loading profile data...