
Time bar (total: 10.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 7 |
| 43.8% | 43.7% | 56.2% | 0.1% | 0% | 0% | 0% | 8 |
| 43.8% | 43.7% | 56.2% | 0.1% | 0% | 0% | 0% | 9 |
| 46.9% | 46.8% | 53.1% | 0.1% | 0% | 0% | 0% | 10 |
| 46.9% | 46.8% | 53.1% | 0.1% | 0% | 0% | 0% | 11 |
| 48.4% | 48.4% | 51.5% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 14 to 12 computations (14.3% saved)
| 791.0ms | 8 256× | 0 | valid |
ival-tan: 176.0ms (28.8% of total)ival-sin: 165.0ms (27% of total)ival-div: 112.0ms (18.4% of total)ival-mult: 70.0ms (11.5% of total)ival-add: 38.0ms (6.2% of total)ival-neg: 34.0ms (5.6% 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 |
| 57.0ms | 512× | 0 | valid |
Compiled 112 to 44 computations (60.7% saved)
ival-sin: 14.0ms (34.5% of total)ival-tan: 10.0ms (24.6% of total)ival-div: 7.0ms (17.2% of total)ival-mult: 4.0ms (9.9% of total)ival-add: 2.0ms (4.9% of total)ival-neg: 2.0ms (4.9% 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% | (tan.f64 B) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (tan.f64 B)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (sin.f64 B)) |
| ✓ | accuracy | 99.5% | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
| 28.0ms | 256× | 0 | valid |
Compiled 42 to 12 computations (71.4% saved)
ival-sin: 6.0ms (31% of total)ival-tan: 6.0ms (31% of total)ival-div: 3.0ms (15.5% of total)ival-mult: 2.0ms (10.3% of total)ival-add: 1.0ms (5.2% of total)ival-neg: 1.0ms (5.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))> |
#<alt (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))> |
#<alt (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))> |
#<alt (/.f64 #s(literal 1 binary64) (tan.f64 B))> |
#<alt (/.f64 #s(literal 1 binary64) (sin.f64 B))> |
#<alt (tan.f64 B)> |
| Outputs |
|---|
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ x B)> |
#<alt (/ (+ x (* -1/3 (* (pow B 2) x))) B)> |
#<alt (/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)> |
#<alt (/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ (* x (cos B)) (sin B))> |
#<alt (/ 1 (sin B))> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))> |
#<alt (* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))> |
#<alt (* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))> |
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))> |
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))> |
#<alt (/ (- 1 x) B)> |
#<alt (/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)> |
#<alt (/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B)> |
#<alt (/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)> |
#<alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))> |
#<alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))> |
#<alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))> |
#<alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))> |
#<alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))> |
#<alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))> |
#<alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))> |
#<alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ x B))> |
#<alt (/ (- (* 1/3 (* (pow B 2) x)) x) B)> |
#<alt (/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B)> |
#<alt (/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))) x) B)> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (/ 1 B)> |
#<alt (/ (+ 1 (* -1/3 (pow B 2))) B)> |
#<alt (/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B)> |
#<alt (/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B)> |
#<alt (/ (cos B) (sin B))> |
#<alt (/ (cos B) (sin B))> |
#<alt (/ (cos B) (sin B))> |
#<alt (/ (cos B) (sin B))> |
#<alt (/ (cos B) (sin B))> |
#<alt (/ (cos B) (sin B))> |
#<alt (/ (cos B) (sin B))> |
#<alt (/ (cos B) (sin B))> |
#<alt (/ 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 (* 1/3 (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))> |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (* x (/ 1 (tan B))) |
| 2.0ms | B | @ | 0 | (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× | egg-herbie |
| 24 678× | lower-fma.f64 |
| 24 678× | lower-fma.f32 |
| 4 750× | lower-*.f64 |
| 4 750× | lower-*.f32 |
| 3 602× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 151 | 999 |
| 1 | 427 | 992 |
| 2 | 1395 | 968 |
| 3 | 5496 | 959 |
| 0 | 8166 | 920 |
| 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)) |
B |
(* B (+ 1 (* 1/3 (pow B 2)))) |
(* B (+ 1 (* (pow B 2) (+ 1/3 (* 2/15 (pow B 2)))))) |
(* B (+ 1 (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 2/15 (* 17/315 (pow B 2)))))))) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
(/ (sin B) (cos B)) |
| Outputs |
|---|
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ x B) |
(/.f64 x B) |
(/ (+ x (* -1/3 (* (pow B 2) x))) B) |
(/.f64 (fma.f64 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 (fma.f64 (*.f64 B B) (*.f64 x (fma.f64 B (*.f64 B #s(literal -1/45 binary64)) #s(literal -1/3 binary64))) x) B) |
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal -1/45 binary64) (*.f64 (*.f64 x (*.f64 B B)) #s(literal -2/945 binary64)))) (*.f64 x #s(literal -1/3 binary64))) x) B) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (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 (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 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ x B)) |
(neg.f64 (/.f64 x B)) |
(/ (- (* 1/3 (* (pow B 2) x)) x) B) |
(-.f64 (*.f64 B (*.f64 x #s(literal 1/3 binary64))) (/.f64 x B)) |
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B) |
(-.f64 (*.f64 B (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))) (/.f64 x B)) |
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))) x) B) |
(fma.f64 B (fma.f64 B (*.f64 B (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 x #s(literal 1/45 binary64)))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 (/.f64 x B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(/ 1 B) |
(/.f64 #s(literal 1 binary64) B) |
(/ (+ 1 (* -1/3 (pow B 2))) B) |
(/.f64 (fma.f64 B (*.f64 B #s(literal -1/3 binary64)) #s(literal 1 binary64)) B) |
(/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal -1/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) B) |
(/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal -2/945 binary64) #s(literal -1/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)) B) |
(/ (cos B) (sin B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/ (cos B) (sin B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/ (cos B) (sin B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/ (cos B) (sin B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/ (cos B) (sin B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/ (cos B) (sin B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/ (cos B) (sin B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/ (cos B) (sin B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/ 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)) |
B |
(* B (+ 1 (* 1/3 (pow B 2)))) |
(fma.f64 B (*.f64 (*.f64 B B) #s(literal 1/3 binary64)) B) |
(* B (+ 1 (* (pow B 2) (+ 1/3 (* 2/15 (pow B 2)))))) |
(fma.f64 (fma.f64 B (*.f64 B #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 B (*.f64 B B)) B) |
(* B (+ 1 (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 2/15 (* 17/315 (pow B 2)))))))) |
(fma.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 B (*.f64 B B)) B) |
(/ (sin B) (cos B)) |
(/.f64 (sin.f64 B) (cos.f64 B)) |
(/ (sin B) (cos B)) |
(/.f64 (sin.f64 B) (cos.f64 B)) |
(/ (sin B) (cos B)) |
(/.f64 (sin.f64 B) (cos.f64 B)) |
(/ (sin B) (cos B)) |
(/.f64 (sin.f64 B) (cos.f64 B)) |
(/ (sin B) (cos B)) |
(/.f64 (sin.f64 B) (cos.f64 B)) |
(/ (sin B) (cos B)) |
(/.f64 (sin.f64 B) (cos.f64 B)) |
(/ (sin B) (cos B)) |
(/.f64 (sin.f64 B) (cos.f64 B)) |
(/ (sin B) (cos B)) |
(/.f64 (sin.f64 B) (cos.f64 B)) |
| 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 | 35 |
| 0 | 17 | 28 |
| 1 | 59 | 27 |
| 2 | 376 | 27 |
| 3 | 4328 | 27 |
| 0 | 8975 | 27 |
| 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)) |
(tan.f64 B) |
| Outputs |
|---|
(+.f64 (/.f64 x (tan.f64 B)) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))) |
(exp.f64 (log.f64 (/.f64 x (tan.f64 B)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (tan.f64 B))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 B) x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(literal 0 binary64) (tan.f64 B)) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)))) (/.f64 x (tan.f64 B))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))) (/.f64 x (tan.f64 B))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (tan.f64 B)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) x #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 (neg.f64 x)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (exp.f64 (log.f64 (neg.f64 x))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (exp.f64 (log.f64 x)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x (tan.f64 B)) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x (tan.f64 B)) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x (tan.f64 B)) (exp.f64 (log.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 B))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) x) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) (neg.f64 x)) #s(literal 0 binary64)) |
(fma.f64 (cos.f64 B) (/.f64 x (sin.f64 B)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 x (tan.f64 B)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 (tan.f64 B) x) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 (tan.f64 B) x) #s(literal -3 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) x) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x (sin.f64 B)) (cos.f64 B) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 B))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x (sin.f64 B)) (*.f64 (cos.f64 B) #s(literal -1 binary64)) #s(literal 0 binary64)) |
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(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B))) |
(*.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) |
(*.f64 (/.f64 x (sin.f64 B)) (*.f64 (cos.f64 B) #s(literal -1 binary64))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(*.f64 (neg.f64 (/.f64 x (sin.f64 B))) (cos.f64 B)) |
(*.f64 (*.f64 x (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) (/.f64 x (sin.f64 B))) (cos.f64 B)) |
(*.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (cos.f64 B)) |
(*.f64 (*.f64 (neg.f64 x) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 (neg.f64 x)) (sin.f64 B)) (cos.f64 B)) |
(*.f64 (/.f64 (neg.f64 (neg.f64 x)) (sin.f64 B)) (neg.f64 (cos.f64 B))) |
(*.f64 (exp.f64 (log.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(*.f64 (exp.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 x (tan.f64 B))) |
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(exp.f64 (neg.f64 (log.f64 (tan.f64 B)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 B) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 B)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 (tan.f64 B)) #s(literal -1/2 binary64) (*.f64 (log.f64 (tan.f64 B)) #s(literal -1/2 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(/.f64 #s(literal 1 binary64) (tan.f64 B)) |
(/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (cos.f64 B))) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(/.f64 #s(literal -1 binary64) (tan.f64 B)) |
(/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 B)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(pow.f64 (tan.f64 B) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (tan.f64 B) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (tan.f64 B))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (cos.f64 B)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (neg.f64 (cos.f64 B))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 B)))) |
(*.f64 (cos.f64 B) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (cos.f64 B))) |
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (cos.f64 B) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(*.f64 (neg.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) |
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(exp.f64 (neg.f64 (log.f64 (sin.f64 B)))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 B))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 B))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 B)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)) |
(neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (sin.f64 B)) |
(/.f64 (+.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) #s(literal 0 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64))))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64))) |
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (sin.f64 B)) |
(pow.f64 (sin.f64 B) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 1 binary64)) |
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (sin.f64 B))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) |
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+.f64 #s(literal 0 binary64) (tan.f64 B)) |
(exp.f64 (log.f64 (tan.f64 B))) |
(exp.f64 (*.f64 (log.f64 (tan.f64 B)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 B))) #s(literal -1 binary64))) |
(tan.f64 B) |
(-.f64 #s(literal 0 binary64) (tan.f64 B)) |
(-.f64 (/.f64 #s(literal 0 binary64) (cos.f64 B)) (tan.f64 B)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 B))) (tan.f64 B)) |
(neg.f64 (tan.f64 B)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(/.f64 (tan.f64 B) #s(literal 1 binary64)) |
(/.f64 (tan.f64 B) #s(literal -1 binary64)) |
(/.f64 (tan.f64 B) (exp.f64 (log.f64 #s(literal -1 binary64)))) |
(/.f64 (sin.f64 B) (cos.f64 B)) |
(/.f64 (sin.f64 B) (neg.f64 (cos.f64 B))) |
(/.f64 (sin.f64 B) (neg.f64 (neg.f64 (cos.f64 B)))) |
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) #s(literal -1 binary64))) |
(/.f64 (sin.f64 B) (*.f64 (neg.f64 (cos.f64 B)) #s(literal 1 binary64))) |
(/.f64 (sin.f64 B) (*.f64 (neg.f64 (cos.f64 B)) #s(literal -1 binary64))) |
(/.f64 (sin.f64 B) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 B)))) |
(/.f64 (sin.f64 B) (*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 B)))) |
(/.f64 (sin.f64 B) (exp.f64 (log.f64 (cos.f64 B)))) |
(/.f64 (sin.f64 B) (exp.f64 (log.f64 (neg.f64 (cos.f64 B))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (tan.f64 B) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (tan.f64 B))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 B) #s(literal 2 binary64))) (tan.f64 B)) |
(/.f64 (pow.f64 (tan.f64 B) #s(literal 1/2 binary64)) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) |
(pow.f64 (tan.f64 B) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (tan.f64 B) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (tan.f64 B)) |
(*.f64 (tan.f64 B) #s(literal 1 binary64)) |
(*.f64 (tan.f64 B) #s(literal -1 binary64)) |
(*.f64 (sin.f64 B) (/.f64 #s(literal 1 binary64) (cos.f64 B))) |
(*.f64 (sin.f64 B) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) #s(literal 1 binary64))) |
(*.f64 (sin.f64 B) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 B)))) |
(*.f64 (sin.f64 B) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)))) |
(*.f64 (sin.f64 B) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) #s(literal 1 binary64))) |
(*.f64 (sin.f64 B) (exp.f64 (neg.f64 (log.f64 (cos.f64 B))))) |
(*.f64 #s(literal -1 binary64) (tan.f64 B)) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) (sin.f64 B)) |
Compiled 10 564 to 1 473 computations (86.1% saved)
20 alts after pruning (20 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 589 | 20 | 609 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 590 | 20 | 610 |
| Status | Accuracy | Program |
|---|---|---|
| 99.7% | (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| 40.9% | (/.f64 (fma.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (sin.f64 B) (/.f64 x (tan.f64 B))) (*.f64 (/.f64 x (tan.f64 B)) (sin.f64 B))) | |
| 41.9% | (/.f64 (fma.f64 x (sin.f64 B) (tan.f64 B)) (*.f64 (tan.f64 B) (sin.f64 B))) | |
| 33.3% | (/.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 6 binary64)) (pow.f64 (sin.f64 B) #s(literal -6 binary64))) (*.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 4 binary64)) (pow.f64 (/.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (sin.f64 B)) #s(literal 2 binary64))))) | |
| 49.4% | (/.f64 (+.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)) (*.f64 (/.f64 (tan.f64 B) x) (sin.f64 B))) | |
| ▶ | 99.7% | (-.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))) |
| 55.4% | (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 x (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| 40.3% | (+.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))) | |
| ▶ | 56.7% | (+.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)))) |
| 70.5% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (exp.f64 (neg.f64 (log.f64 (sin.f64 B))))) | |
| 70.7% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) | |
| 80.3% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) | |
| 51.6% | #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 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)) | |
| 51.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B)) | |
| 51.8% | #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)) | |
| ▶ | 51.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
| 44.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) | |
| ▶ | 55.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 99.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))) |
Compiled 726 to 446 computations (38.6% saved)
| 1× | egg-herbie |
Found 18 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 | (tan.f64 B) |
| ✓ | cost-diff | 0 | (/.f64 (tan.f64 B) x) |
| ✓ | cost-diff | 128 | (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| ✓ | cost-diff | 576 | (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) |
| ✓ | cost-diff | 0 | (sin.f64 B) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sin.f64 B)) |
| ✓ | cost-diff | 0 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) B) |
| ✓ | cost-diff | 0 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
| ✓ | cost-diff | 0 | (/.f64 x (tan.f64 B)) |
| ✓ | cost-diff | 0 | (sin.f64 B) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sin.f64 B)) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| 1 280× | lower-fma.f64 |
| 1 280× | lower-fma.f32 |
| 864× | lower-*.f32 |
| 860× | lower-*.f64 |
| 656× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 236 |
| 0 | 59 | 219 |
| 1 | 99 | 208 |
| 2 | 176 | 204 |
| 3 | 300 | 200 |
| 4 | 541 | 196 |
| 5 | 1089 | 196 |
| 6 | 1913 | 196 |
| 7 | 2593 | 196 |
| 8 | 2808 | 196 |
| 9 | 2895 | 196 |
| 10 | 2956 | 196 |
| 11 | 2993 | 196 |
| 12 | 2997 | 196 |
| 13 | 3005 | 196 |
| 14 | 3033 | 196 |
| 15 | 3183 | 196 |
| 16 | 3187 | 196 |
| 0 | 3187 | 193 |
| 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 |
(+.f64 (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) |
#s(literal -1 binary64) |
(/.f64 (tan.f64 B) x) |
(tan.f64 B) |
B |
x |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
#s(literal 1 binary64) |
(sin.f64 B) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)))) |
(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))) |
(/.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 |
(+.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 x (tan.f64 B))) |
(/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) |
(/.f64 (neg.f64 x) (tan.f64 B)) |
#s(literal -1 binary64) |
(/.f64 (tan.f64 B) x) |
(tan.f64 B) |
B |
x |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
#s(literal 1 binary64) |
(sin.f64 B) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)))) |
(-.f64 (/.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 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) |
| ✓ | accuracy | 99.5% | (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
| ✓ | accuracy | 77.6% | (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) |
| ✓ | accuracy | 74.0% | (/.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% | (tan.f64 B) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (sin.f64 B)) |
| ✓ | accuracy | 99.8% | (/.f64 (tan.f64 B) x) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) |
| ✓ | accuracy | 100.0% | (sin.f64 B) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (sin.f64 B)) |
| ✓ | accuracy | 55.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.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 | 51.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
| ✓ | accuracy | 100.0% | (tan.f64 B) |
| ✓ | accuracy | 99.8% | (/.f64 x (tan.f64 B)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (sin.f64 B)) |
| 110.0ms | 125× | 1 | valid |
| 40.0ms | 131× | 0 | valid |
Compiled 227 to 31 computations (86.3% saved)
ival-tan: 35.0ms (28.6% of total)ival-cos: 28.0ms (22.9% of total)ival-div: 18.0ms (14.7% of total)ival-sin: 13.0ms (10.6% of total)adjust: 8.0ms (6.5% of total)ival-sub: 8.0ms (6.5% of total)ival-add: 6.0ms (4.9% of total)ival-mult: 5.0ms (4.1% of total)ival-neg: 3.0ms (2.5% of total)exact: 1.0ms (0.8% 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 #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))> |
#<alt (/.f64 (-.f64 #s(literal 1 binary64) x) B)> |
#<alt (-.f64 #s(literal 1 binary64) x)> |
#<alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))> |
#<alt (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x))> |
#<alt (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))> |
#<alt (/.f64 (tan.f64 B) x)> |
#<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 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 (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 B)> |
#<alt (+ (* -1 (/ x B)) (/ 1 B))> |
#<alt (+ (* -1 (/ x B)) (/ 1 B))> |
#<alt (+ (* -1 (/ x B)) (/ 1 B))> |
#<alt (* -1 (/ x B))> |
#<alt (* x (- (/ 1 (* B x)) (/ 1 B)))> |
#<alt (* x (- (/ 1 (* B x)) (/ 1 B)))> |
#<alt (* x (- (/ 1 (* B x)) (/ 1 B)))> |
#<alt (* -1 (/ x B))> |
#<alt (* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))> |
#<alt (* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))> |
#<alt (* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))> |
#<alt (/ (- 1 x) B)> |
#<alt (/ (- 1 x) B)> |
#<alt (/ (- 1 x) B)> |
#<alt (/ (- 1 x) B)> |
#<alt (/ (- 1 x) B)> |
#<alt (/ (- 1 x) B)> |
#<alt (/ (- 1 x) B)> |
#<alt (/ (- 1 x) B)> |
#<alt (/ (- 1 x) B)> |
#<alt (/ (- 1 x) B)> |
#<alt (/ (- 1 x) B)> |
#<alt (/ (- 1 x) B)> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (/ 1 (sin B))> |
#<alt (+ (* -1 (/ (* x (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 B))> |
#<alt (/ (+ (* -1 x) (* 1/3 (* (pow B 2) x))) B)> |
#<alt (/ (+ (* -1 x) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))))) B)> |
#<alt (/ (+ (* -1 x) (* (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)))))))))) B)> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (/ (+ 1 (* -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 (/ 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 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 (/ (* 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)))))> |
78 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | B | @ | 0 | (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) |
| 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) |
| 0.0ms | B | @ | inf | (- (/ 1 (- 1/2 (* 1/2 (cos (+ B B))))) 0) |
| 1× | egg-herbie |
| 13 460× | lower-fma.f64 |
| 13 460× | lower-fma.f32 |
| 4 258× | lower-*.f64 |
| 4 258× | lower-*.f32 |
| 4 164× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 245 | 2994 |
| 1 | 704 | 2975 |
| 2 | 2147 | 2915 |
| 3 | 5643 | 2845 |
| 0 | 8177 | 2632 |
| 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 (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 B) |
(+ (* -1 (/ x B)) (/ 1 B)) |
(+ (* -1 (/ x B)) (/ 1 B)) |
(+ (* -1 (/ x B)) (/ 1 B)) |
(* -1 (/ x B)) |
(* x (- (/ 1 (* B x)) (/ 1 B))) |
(* x (- (/ 1 (* B x)) (/ 1 B))) |
(* x (- (/ 1 (* B x)) (/ 1 B))) |
(* -1 (/ x B)) |
(* -1 (* x (- (/ 1 B) (/ 1 (* B x))))) |
(* -1 (* x (- (/ 1 B) (/ 1 (* B x))))) |
(* -1 (* x (- (/ 1 B) (/ 1 (* B x))))) |
(/ (- 1 x) B) |
(/ (- 1 x) B) |
(/ (- 1 x) B) |
(/ (- 1 x) B) |
(/ (- 1 x) B) |
(/ (- 1 x) B) |
(/ (- 1 x) B) |
(/ (- 1 x) B) |
(/ (- 1 x) B) |
(/ (- 1 x) B) |
(/ (- 1 x) B) |
(/ (- 1 x) B) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(/ 1 (sin B)) |
(+ (* -1 (/ (* x (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 B)) |
(/ (+ (* -1 x) (* 1/3 (* (pow B 2) x))) B) |
(/ (+ (* -1 x) (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))))) B) |
(/ (+ (* -1 x) (* (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)))))))))) B) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/ (+ 1 (* -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)))))) |
(/ 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))) |
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)))))) |
(/ (* 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 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (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))) #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 (cos.f64 B) (sin.f64 B)) (neg.f64 x)) |
(* 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 (cos.f64 B) (sin.f64 B)) (neg.f64 x)) |
(* -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 B (*.f64 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 (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 (cos.f64 B) (sin.f64 B)) (neg.f64 x)) |
(* 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 (cos.f64 B) (sin.f64 B)) (neg.f64 x)) |
(* -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 x) B) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) |
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B) |
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(/.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))) |
B |
(* B (+ 1 (* 1/3 (pow B 2)))) |
(fma.f64 B (*.f64 (*.f64 B B) #s(literal 1/3 binary64)) B) |
(* B (+ 1 (* (pow B 2) (+ 1/3 (* 2/15 (pow B 2)))))) |
(fma.f64 (fma.f64 B (*.f64 B #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 B (*.f64 B B)) B) |
(* B (+ 1 (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 2/15 (* 17/315 (pow B 2)))))))) |
(fma.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B #s(literal 17/315 binary64)) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) (*.f64 B (*.f64 B B)) B) |
(/ (sin B) (cos B)) |
(/.f64 (sin.f64 B) (cos.f64 B)) |
(/ (sin B) (cos B)) |
(/.f64 (sin.f64 B) (cos.f64 B)) |
(/ (sin B) (cos B)) |
(/.f64 (sin.f64 B) (cos.f64 B)) |
(/ (sin B) (cos B)) |
(/.f64 (sin.f64 B) (cos.f64 B)) |
(/ (sin B) (cos B)) |
(/.f64 (sin.f64 B) (cos.f64 B)) |
(/ (sin B) (cos B)) |
(/.f64 (sin.f64 B) (cos.f64 B)) |
(/ (sin B) (cos B)) |
(/.f64 (sin.f64 B) (cos.f64 B)) |
(/ (sin B) (cos B)) |
(/.f64 (sin.f64 B) (cos.f64 B)) |
(/ 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) |
(/ (sin B) (- 1/2 (* 1/2 (cos (* 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))) |
(/ (sin B) (- 1/2 (* 1/2 (cos (* 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))) |
(/ (sin B) (- 1/2 (* 1/2 (cos (* 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))) |
(/ (sin B) (- 1/2 (* 1/2 (cos (* 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))) |
(/ (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))) |
(/ (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))) |
(/ (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))) |
(/ (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))) |
(/ (* 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 B (*.f64 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 (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 B (*.f64 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 B (*.f64 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 (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 B (*.f64 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 B (*.f64 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))) |
(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 (*.f64 B 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 |
| 1 194× | lower-fma.f64 |
| 1 194× | lower-fma.f32 |
| 970× | lower-/.f32 |
| 954× | lower-/.f64 |
| 876× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 140 |
| 0 | 54 | 112 |
| 1 | 243 | 96 |
| 0 | 2356 | 96 |
| 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)) |
#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(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) |
(+.f64 (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 (tan.f64 B) 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 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 (/.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 #s(literal 0 binary64) (-.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(-.f64 (/.f64 (tan.f64 B) (*.f64 (tan.f64 B) (sin.f64 B))) (/.f64 (*.f64 x (sin.f64 B)) (*.f64 (tan.f64 B) (sin.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) (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 1 binary64) (neg.f64 (/.f64 x (tan.f64 B)))) |
(fma.f64 x (/.f64 #s(literal -1 binary64) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 (/.f64 x (tan.f64 B)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 #s(literal -1 binary64) (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 B)) (neg.f64 (/.f64 x (tan.f64 B)))) |
(fma.f64 (/.f64 #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) (tan.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
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(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
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(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
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(-.f64 #s(literal 1 binary64) x) |
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(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) |
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#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
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(/.f64 #s(literal 1 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))) (pow.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (pow.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -3 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (sin.f64 B)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 B) (neg.f64 (sin.f64 B)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sin.f64 B)) (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 (sin.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 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (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 (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (neg.f64 (sin.f64 B))) |
(/.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 (pow.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -3 binary64)) (pow.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64))) |
(/.f64 (pow.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #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 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 B) #s(literal -3 binary64))) (*.f64 (neg.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 (*.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) #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 -1 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))) (neg.f64 (sin.f64 B)))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (pow.f64 (sin.f64 B) #s(literal -3 binary64))) (pow.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (/.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 (sin.f64 B) #s(literal -3 binary64))) |
(/.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 (sin.f64 B) #s(literal -3 binary64))) (pow.f64 (sin.f64 B) #s(literal -3 binary64))) |
(/.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -3 binary64))) (neg.f64 (pow.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #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 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (pow.f64 (sin.f64 B) #s(literal -3 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 (*.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)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (neg.f64 (sin.f64 B)))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (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 (/.f64 (pow.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.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 #s(literal 1 binary64) (sin.f64 B)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (sin.f64 B) #s(literal -2 binary64)) |
(*.f64 #s(literal 1 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 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(*.f64 #s(literal -1 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 (/.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)) |
(*.f64 (pow.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) #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) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (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 (pow.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (pow.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -3 binary64))) (pow.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (pow.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #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 1/2 binary64) (*.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(+.f64 (*.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1/8 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 (pow.f64 (*.f64 #s(literal 1/2 binary64) (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 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64))) (/.f64 (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)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (cos.f64 #s(literal 0 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (neg.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) (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.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 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 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))))) |
(/.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 (neg.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) (pow.f64 (*.f64 #s(literal 1/2 binary64) (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 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (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))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1/2 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)))) |
(/.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 #s(literal 0 binary64))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (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 (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) (pow.f64 (*.f64 #s(literal 1/2 binary64) (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 (sin.f64 B) (sin.f64 B)) |
(*.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 24 754 to 2 060 computations (91.7% saved)
35 alts after pruning (33 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 206 | 31 | 1 237 |
| Fresh | 13 | 2 | 15 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 222 | 35 | 1 257 |
| Status | Accuracy | Program |
|---|---|---|
| 41.9% | (/.f64 (fma.f64 x (sin.f64 B) (tan.f64 B)) (*.f64 (tan.f64 B) (sin.f64 B))) | |
| ▶ | 99.7% | (/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B)) |
| 89.6% | (/.f64 (-.f64 (/.f64 (tan.f64 B) x) (sin.f64 B)) (*.f64 (/.f64 (tan.f64 B) x) (sin.f64 B))) | |
| 99.7% | (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 #s(literal 1 binary64) x))) | |
| 70.8% | (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))) | |
| 70.8% | (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) | |
| 69.5% | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (/.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)))) | |
| 56.7% | (+.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))))) | |
| 70.7% | (+.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 #s(literal 1 binary64) B))) | |
| ▶ | 37.3% | (+.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)))) |
| 81.7% | (*.f64 (+.f64 (/.f64 (tan.f64 B) x) (neg.f64 (sin.f64 B))) (/.f64 x (*.f64 (tan.f64 B) (sin.f64 B)))) | |
| 51.6% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (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))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) | |
| 51.6% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) | |
| ▶ | 51.8% | #s(approx (- (/ 1 (sin B)) (/ x (tan 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)) |
| 44.5% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))) | |
| 99.7% | #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)))) | |
| 36.0% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) B)) | |
| 49.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B)) | |
| ▶ | 16.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 x B) (/.f64 x B))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B)))) |
| 37.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 B x)) (*.f64 B B))) | |
| ✓ | 51.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
| 47.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 #s(literal 1 binary64) x))) | |
| 44.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) | |
| 25.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B)) | |
| ▶ | 26.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) |
| 51.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x)))) | |
| ✓ | 55.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 26.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B)))) | |
| 51.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B))) | |
| 38.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)))) | |
| 51.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x))) | |
| 36.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (exp.f64 (*.f64 (log.f64 (sin.f64 B)) #s(literal -1 binary64)))) | |
| 26.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B))) | |
| 26.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin 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))) | |
| 26.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin 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))) |
Compiled 1 051 to 620 computations (41% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 192 | (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)) |
| ✓ | 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 | 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 | 384 | (*.f64 (/.f64 x B) (/.f64 x B)) |
| ✓ | cost-diff | 704 | (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) |
| ✓ | cost-diff | 832 | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 x B) (/.f64 x B))) |
| ✓ | cost-diff | 2624 | (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 x B) (/.f64 x B))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x 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 | 0 | (/.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 | #s(approx (- (/ 1 (sin B)) (/ x (tan 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)) |
| ✓ | cost-diff | 0 | #s(approx (- 1 x) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B) |
| ✓ | cost-diff | 0 | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) |
| ✓ | cost-diff | 0 | (tan.f64 B) |
| ✓ | cost-diff | 0 | (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) |
| ✓ | cost-diff | 6400 | (/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B)) |
| ✓ | cost-diff | 6720 | (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) |
| 8 390× | lower-fma.f32 |
| 8 386× | lower-fma.f64 |
| 4 196× | lower-*.f32 |
| 4 186× | lower-*.f64 |
| 1 666× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 380 |
| 0 | 86 | 368 |
| 1 | 168 | 347 |
| 2 | 346 | 337 |
| 3 | 735 | 304 |
| 4 | 2033 | 298 |
| 5 | 5508 | 296 |
| 0 | 8181 | 292 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B)) |
(/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) |
(-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) |
(tan.f64 B) |
B |
(*.f64 x (sin.f64 B)) |
x |
(sin.f64 B) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) |
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
B |
#s(approx (- (/ 1 (sin B)) (/ x (tan 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) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 x B) (/.f64 x B))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B)))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 x B) (/.f64 x B))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B))) |
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 x B) (/.f64 x B))) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) |
(/.f64 #s(literal 1 binary64) B) |
#s(literal 1 binary64) |
B |
(*.f64 (/.f64 x B) (/.f64 x B)) |
(/.f64 x B) |
x |
(+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x 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) |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B)) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
(/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) |
(-.f64 (/.f64 (tan.f64 B) (sin.f64 B)) x) |
(-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) |
(tan.f64 B) |
B |
(*.f64 x (sin.f64 B)) |
x |
(sin.f64 B) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) |
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
B |
#s(approx (- (/ 1 (sin B)) (/ x (tan 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) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/6 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 (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/6 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) |
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/6 binary64)) x)) |
(fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(*.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) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 x B) (/.f64 x B))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (neg.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) B))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 x B) (/.f64 x B))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B))) |
(neg.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) B)) |
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 x B) (/.f64 x B))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 B B)) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) |
(/.f64 #s(literal 1 binary64) (*.f64 B B)) |
(/.f64 #s(literal 1 binary64) B) |
#s(literal 1 binary64) |
B |
(*.f64 (/.f64 x B) (/.f64 x B)) |
(*.f64 x (/.f64 x (*.f64 B B))) |
(/.f64 x B) |
x |
(+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B)) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 x #s(literal 1 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)))) |
(-.f64 (/.f64 (sin.f64 B) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #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 (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)))) |
#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)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(sin.f64 B) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) |
| ✓ | accuracy | 77.6% | (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) |
| ✓ | accuracy | 74.0% | (/.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 | 52.4% | #s(approx (* x (/ 1 (tan B))) (/.f64 x B)) |
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) |
| ✓ | accuracy | 84.0% | (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 x B) (/.f64 x B))) |
| ✓ | accuracy | 51.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 x B) (/.f64 x B))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B)))) |
| ✓ | accuracy | 47.5% | (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 x B) (/.f64 x B))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B))) |
| ✓ | accuracy | 99.8% | (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.8% | (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 83.1% | (/.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 | 51.9% | #s(approx (- (/ 1 (sin B)) (/ x (tan 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)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B) |
| ✓ | accuracy | 55.5% | #s(approx (- 1 x) #s(literal 1 binary64)) |
| ✓ | accuracy | 51.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) |
| ✓ | accuracy | 100.0% | (tan.f64 B) |
| ✓ | accuracy | 99.8% | (*.f64 x (sin.f64 B)) |
| ✓ | accuracy | 99.7% | (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) |
| ✓ | accuracy | 99.7% | (/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B)) |
| 294.0ms | 125× | 1 | valid |
| 54.0ms | 131× | 0 | valid |
Compiled 327 to 47 computations (85.6% saved)
ival-tan: 190.0ms (60.4% of total)ival-cos: 28.0ms (8.9% of total)ival-div: 25.0ms (8% of total)ival-mult: 16.0ms (5.1% of total)ival-sub: 12.0ms (3.8% of total)ival-sin: 12.0ms (3.8% of total)adjust: 11.0ms (3.5% of total)ival-add: 9.0ms (2.9% of total)const: 8.0ms (2.5% of total)ival-neg: 2.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B))> |
#<alt (/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B))> |
#<alt (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B)))> |
#<alt (tan.f64 B)> |
#<alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))> |
#<alt (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)> |
#<alt #s(approx (- 1 x) #s(literal 1 binary64))> |
#<alt #s(approx (- (/ 1 (sin B)) (/ x (tan 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))> |
#<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 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 x B) (/.f64 x B))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B)))> |
#<alt (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 x B) (/.f64 x B)))> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B))> |
#<alt (*.f64 (/.f64 x B) (/.f64 x 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 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))))> |
#<alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64))> |
#<alt (*.f64 x (sin.f64 B))> |
#<alt (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))> |
#<alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 x B) (/.f64 x B))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B))))> |
#<alt #s(approx (* x (/ 1 (tan B))) (/.f64 x B))> |
#<alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))> |
| Outputs |
|---|
#<alt (- 1 x)> |
#<alt (- (+ 1 (* (pow B 2) (- 1/3 (+ (* -1/6 x) (* -1/6 (- 1 x)))))) x)> |
#<alt (- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- 2/15 (+ (* -1/6 (- 1/3 (+ (* -1/6 x) (* -1/6 (- 1 x))))) (+ (* 1/120 x) (* 1/120 (- 1 x))))))) (+ (* -1/6 x) (* -1/6 (- 1 x)))))) x)> |
#<alt (- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- (+ 2/15 (* (pow B 2) (- 17/315 (+ (* -1/6 (- 2/15 (+ (* -1/6 (- 1/3 (+ (* -1/6 x) (* -1/6 (- 1 x))))) (+ (* 1/120 x) (* 1/120 (- 1 x)))))) (+ (* -1/5040 x) (+ (* -1/5040 (- 1 x)) (* 1/120 (- 1/3 (+ (* -1/6 x) (* -1/6 (- 1 x))))))))))) (+ (* -1/6 (- 1/3 (+ (* -1/6 x) (* -1/6 (- 1 x))))) (+ (* 1/120 x) (* 1/120 (- 1 x))))))) (+ (* -1/6 x) (* -1/6 (- 1 x)))))) x)> |
#<alt (/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B))> |
#<alt (/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B))> |
#<alt (/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B))> |
#<alt (/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B))> |
#<alt (/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B))> |
#<alt (/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B))> |
#<alt (/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B))> |
#<alt (/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B))> |
#<alt (/ 1 (cos B))> |
#<alt (+ (* -1 x) (/ 1 (cos B)))> |
#<alt (+ (* -1 x) (/ 1 (cos B)))> |
#<alt (+ (* -1 x) (/ 1 (cos B)))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ 1 (* x (cos B))) 1))> |
#<alt (* x (- (/ 1 (* x (cos B))) 1))> |
#<alt (* x (- (/ 1 (* x (cos B))) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (/ 1 (* x (cos B))))))> |
#<alt (* -1 (* x (- 1 (/ 1 (* x (cos B))))))> |
#<alt (* -1 (* x (- 1 (/ 1 (* x (cos B))))))> |
#<alt (/ (- 1 x) B)> |
#<alt (/ (- (+ 1 (* (pow B 2) (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x)))))) x) B)> |
#<alt (/ (- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- 2/15 (+ (* 1/120 x) (+ (* 31/360 (- 1 x)) (* 1/6 (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x)))))))))) (+ (* -1/6 x) (* 1/6 (- 1 x)))))) x) B)> |
#<alt (/ (- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- (+ 2/15 (* (pow B 2) (- 17/315 (+ (* -1/5040 x) (+ (* 173/5040 (- 1 x)) (+ (* 31/360 (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x))))) (* 1/6 (- 2/15 (+ (* 1/120 x) (+ (* 31/360 (- 1 x)) (* 1/6 (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x))))))))))))))) (+ (* 1/120 x) (+ (* 31/360 (- 1 x)) (* 1/6 (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x)))))))))) (+ (* -1/6 x) (* 1/6 (- 1 x)))))) x) B)> |
#<alt (/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))> |
#<alt (/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))> |
#<alt (/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))> |
#<alt (/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))> |
#<alt (/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))> |
#<alt (/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))> |
#<alt (/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))> |
#<alt (/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))> |
#<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 (* B (- 1 x))> |
#<alt (* B (- (+ 1 (* (pow B 2) (- 1/3 (* -1/6 x)))) x))> |
#<alt (* B (- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- 2/15 (* 1/120 x)))) (* -1/6 x)))) x))> |
#<alt (* B (- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- (+ 2/15 (* (pow B 2) (- 17/315 (* -1/5040 x)))) (* 1/120 x)))) (* -1/6 x)))) x))> |
#<alt (- (/ (sin B) (cos B)) (* x (sin B)))> |
#<alt (- (/ (sin B) (cos B)) (* x (sin B)))> |
#<alt (- (/ (sin B) (cos B)) (* x (sin B)))> |
#<alt (- (/ (sin B) (cos B)) (* x (sin B)))> |
#<alt (- (/ (sin B) (cos B)) (* x (sin B)))> |
#<alt (- (/ (sin B) (cos B)) (* x (sin B)))> |
#<alt (- (/ (sin B) (cos B)) (* x (sin B)))> |
#<alt (- (/ (sin B) (cos B)) (* x (sin B)))> |
#<alt (/ (sin B) (cos B))> |
#<alt (+ (* -1 (* x (sin B))) (/ (sin B) (cos B)))> |
#<alt (+ (* -1 (* x (sin B))) (/ (sin B) (cos B)))> |
#<alt (+ (* -1 (* x (sin B))) (/ (sin B) (cos B)))> |
#<alt (* -1 (* x (sin B)))> |
#<alt (* x (- (/ (sin B) (* x (cos B))) (sin B)))> |
#<alt (* x (- (/ (sin B) (* x (cos B))) (sin B)))> |
#<alt (* x (- (/ (sin B) (* x (cos B))) (sin B)))> |
#<alt (* -1 (* x (sin B)))> |
#<alt (* -1 (* x (- (* -1 (/ (sin B) (* x (cos B)))) (* -1 (sin B)))))> |
#<alt (* -1 (* x (- (* -1 (/ (sin B) (* x (cos B)))) (* -1 (sin B)))))> |
#<alt (* -1 (* x (- (* -1 (/ (sin B) (* x (cos B)))) (* -1 (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 (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 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 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 (/ (- 1 (pow x 2)) (* B (+ 1 x)))> |
#<alt (/ (- 1 (pow x 2)) (* B (+ 1 x)))> |
#<alt (/ (- 1 (pow x 2)) (* B (+ 1 x)))> |
#<alt (/ (- 1 (pow x 2)) (* B (+ 1 x)))> |
#<alt (/ (- 1 (pow x 2)) (* B (+ 1 x)))> |
#<alt (/ (- 1 (pow x 2)) (* B (+ 1 x)))> |
#<alt (/ (- 1 (pow x 2)) (* B (+ 1 x)))> |
#<alt (/ (- 1 (pow x 2)) (* B (+ 1 x)))> |
#<alt (* -1 (/ (- 1 (pow x 2)) (* B (- (* -1 x) 1))))> |
#<alt (* -1 (/ (- 1 (pow x 2)) (* B (- (* -1 x) 1))))> |
#<alt (* -1 (/ (- 1 (pow x 2)) (* B (- (* -1 x) 1))))> |
#<alt (* -1 (/ (- 1 (pow x 2)) (* B (- (* -1 x) 1))))> |
#<alt (/ 1 B)> |
#<alt (+ (* -1 (/ x B)) (/ 1 B))> |
#<alt (+ (* -1 (/ x B)) (/ 1 B))> |
#<alt (+ (* -1 (/ x B)) (/ 1 B))> |
#<alt (* -1 (/ x B))> |
#<alt (* x (- (/ 1 (* B x)) (/ 1 B)))> |
#<alt (* x (- (/ 1 (* B x)) (/ 1 B)))> |
#<alt (* x (- (/ 1 (* B x)) (/ 1 B)))> |
#<alt (* -1 (/ x B))> |
#<alt (* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))> |
#<alt (* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))> |
#<alt (* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))> |
#<alt (/ (- 1 (pow x 2)) (pow B 2))> |
#<alt (/ (- 1 (pow x 2)) (pow B 2))> |
#<alt (/ (- 1 (pow x 2)) (pow B 2))> |
#<alt (/ (- 1 (pow x 2)) (pow B 2))> |
#<alt (/ (- 1 (pow x 2)) (pow B 2))> |
#<alt (/ (- 1 (pow x 2)) (pow B 2))> |
#<alt (/ (- 1 (pow x 2)) (pow B 2))> |
#<alt (/ (- 1 (pow x 2)) (pow B 2))> |
#<alt (/ (- 1 (pow x 2)) (pow B 2))> |
#<alt (/ (- 1 (pow x 2)) (pow B 2))> |
#<alt (/ (- 1 (pow x 2)) (pow B 2))> |
#<alt (/ (- 1 (pow x 2)) (pow B 2))> |
#<alt (/ 1 (pow B 2))> |
#<alt (+ (* -1 (/ (pow x 2) (pow B 2))) (/ 1 (pow B 2)))> |
#<alt (+ (* -1 (/ (pow x 2) (pow B 2))) (/ 1 (pow B 2)))> |
#<alt (+ (* -1 (/ (pow x 2) (pow B 2))) (/ 1 (pow B 2)))> |
#<alt (* -1 (/ (pow x 2) (pow B 2)))> |
#<alt (* (pow x 2) (- (/ 1 (* (pow B 2) (pow x 2))) (/ 1 (pow B 2))))> |
#<alt (* (pow x 2) (- (/ 1 (* (pow B 2) (pow x 2))) (/ 1 (pow B 2))))> |
#<alt (* (pow x 2) (- (/ 1 (* (pow B 2) (pow x 2))) (/ 1 (pow B 2))))> |
#<alt (* -1 (/ (pow x 2) (pow B 2)))> |
#<alt (* (pow x 2) (- (/ 1 (* (pow B 2) (pow x 2))) (/ 1 (pow B 2))))> |
#<alt (* (pow x 2) (- (/ 1 (* (pow B 2) (pow x 2))) (/ 1 (pow B 2))))> |
#<alt (* (pow x 2) (- (/ 1 (* (pow B 2) (pow x 2))) (/ 1 (pow B 2))))> |
#<alt (/ 1 (pow B 2))> |
#<alt (/ 1 (pow B 2))> |
#<alt (/ 1 (pow B 2))> |
#<alt (/ 1 (pow B 2))> |
#<alt (/ 1 (pow B 2))> |
#<alt (/ 1 (pow B 2))> |
#<alt (/ 1 (pow B 2))> |
#<alt (/ 1 (pow B 2))> |
#<alt (/ 1 (pow B 2))> |
#<alt (/ 1 (pow B 2))> |
#<alt (/ 1 (pow B 2))> |
#<alt (/ 1 (pow B 2))> |
#<alt (/ (pow x 2) (pow B 2))> |
#<alt (/ (pow x 2) (pow B 2))> |
#<alt (/ (pow x 2) (pow B 2))> |
#<alt (/ (pow x 2) (pow B 2))> |
#<alt (/ (pow x 2) (pow B 2))> |
#<alt (/ (pow x 2) (pow B 2))> |
#<alt (/ (pow x 2) (pow B 2))> |
#<alt (/ (pow x 2) (pow B 2))> |
#<alt (/ (pow x 2) (pow B 2))> |
#<alt (/ (pow x 2) (pow B 2))> |
#<alt (/ (pow x 2) (pow B 2))> |
#<alt (/ (pow x 2) (pow B 2))> |
#<alt (/ (pow x 2) (pow B 2))> |
#<alt (/ (pow x 2) (pow B 2))> |
#<alt (/ (pow x 2) (pow B 2))> |
#<alt (/ (pow x 2) (pow B 2))> |
#<alt (/ (pow x 2) (pow B 2))> |
#<alt (/ (pow x 2) (pow B 2))> |
#<alt (/ (pow x 2) (pow B 2))> |
#<alt (/ (pow x 2) (pow B 2))> |
#<alt (/ (pow x 2) (pow B 2))> |
#<alt (/ (pow x 2) (pow B 2))> |
#<alt (/ (pow x 2) (pow B 2))> |
#<alt (/ (pow x 2) (pow B 2))> |
#<alt (/ 1 B)> |
#<alt (/ (+ 1 (* 1/6 (pow B 2))) B)> |
#<alt (/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B)> |
#<alt (/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B)> |
#<alt (/ (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 (/ 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 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 (* x (sin B))> |
#<alt (* x (sin B))> |
#<alt (* x (sin B))> |
#<alt (* x (sin B))> |
#<alt (* x (sin B))> |
#<alt (* x (sin B))> |
#<alt (* x (sin B))> |
#<alt (* x (sin B))> |
#<alt (* x (sin B))> |
#<alt (* x (sin B))> |
#<alt (* x (sin B))> |
#<alt (* x (sin B))> |
#<alt (* B x)> |
#<alt (* B (+ x (* -1/6 (* (pow B 2) x))))> |
#<alt (* B (+ x (* (pow B 2) (+ (* -1/6 x) (* 1/120 (* (pow B 2) x))))))> |
#<alt (* B (+ x (* (pow B 2) (+ (* -1/6 x) (* (pow B 2) (+ (* -1/5040 (* (pow B 2) x)) (* 1/120 x)))))))> |
#<alt (* x (sin B))> |
#<alt (* x (sin B))> |
#<alt (* x (sin B))> |
#<alt (* x (sin B))> |
#<alt (* x (sin B))> |
#<alt (* x (sin B))> |
#<alt (* x (sin B))> |
#<alt (* x (sin B))> |
#<alt 1/6> |
#<alt (+ 1/6 (* 1/3 x))> |
#<alt (+ 1/6 (* 1/3 x))> |
#<alt (+ 1/6 (* 1/3 x))> |
#<alt (* 1/3 x)> |
#<alt (* x (+ 1/3 (* 1/6 (/ 1 x))))> |
#<alt (* x (+ 1/3 (* 1/6 (/ 1 x))))> |
#<alt (* x (+ 1/3 (* 1/6 (/ 1 x))))> |
#<alt (* 1/3 x)> |
#<alt (* x (+ 1/3 (* 1/6 (/ 1 x))))> |
#<alt (* x (+ 1/3 (* 1/6 (/ 1 x))))> |
#<alt (* x (+ 1/3 (* 1/6 (/ 1 x))))> |
#<alt (/ 1 (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 (/ (* 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 (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)))))> |
117 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | 0 | (- (* (/ 1 B) (/ 1 B)) (* (/ x B) (/ x B))) |
| 1.0ms | B | @ | 0 | (/ (- (* (/ 1 B) (/ 1 B)) (* (/ x B) (/ x B))) (+ (/ 1 B) (/ x B))) |
| 1.0ms | B | @ | 0 | (/ (- (tan B) (* x (sin B))) (sin B)) |
| 1.0ms | B | @ | -inf | (/ (- (* (/ 1 B) (/ 1 B)) (* (/ x B) (/ x B))) (+ (/ 1 B) (/ x B))) |
| 1.0ms | B | @ | inf | (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) |
| 1× | egg-herbie |
| 11 176× | lower-fma.f64 |
| 11 176× | lower-fma.f32 |
| 5 086× | lower-+.f64 |
| 5 086× | lower-+.f32 |
| 4 362× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 407 | 4972 |
| 1 | 1240 | 4891 |
| 2 | 3896 | 4724 |
| 0 | 8091 | 4433 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 x) |
(- (+ 1 (* (pow B 2) (- 1/3 (+ (* -1/6 x) (* -1/6 (- 1 x)))))) x) |
(- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- 2/15 (+ (* -1/6 (- 1/3 (+ (* -1/6 x) (* -1/6 (- 1 x))))) (+ (* 1/120 x) (* 1/120 (- 1 x))))))) (+ (* -1/6 x) (* -1/6 (- 1 x)))))) x) |
(- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- (+ 2/15 (* (pow B 2) (- 17/315 (+ (* -1/6 (- 2/15 (+ (* -1/6 (- 1/3 (+ (* -1/6 x) (* -1/6 (- 1 x))))) (+ (* 1/120 x) (* 1/120 (- 1 x)))))) (+ (* -1/5040 x) (+ (* -1/5040 (- 1 x)) (* 1/120 (- 1/3 (+ (* -1/6 x) (* -1/6 (- 1 x))))))))))) (+ (* -1/6 (- 1/3 (+ (* -1/6 x) (* -1/6 (- 1 x))))) (+ (* 1/120 x) (* 1/120 (- 1 x))))))) (+ (* -1/6 x) (* -1/6 (- 1 x)))))) x) |
(/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B)) |
(/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B)) |
(/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B)) |
(/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B)) |
(/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B)) |
(/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B)) |
(/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B)) |
(/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B)) |
(/ 1 (cos B)) |
(+ (* -1 x) (/ 1 (cos B))) |
(+ (* -1 x) (/ 1 (cos B))) |
(+ (* -1 x) (/ 1 (cos B))) |
(* -1 x) |
(* x (- (/ 1 (* x (cos B))) 1)) |
(* x (- (/ 1 (* x (cos B))) 1)) |
(* x (- (/ 1 (* x (cos B))) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 (* x (cos B)))))) |
(* -1 (* x (- 1 (/ 1 (* x (cos B)))))) |
(* -1 (* x (- 1 (/ 1 (* x (cos B)))))) |
(/ (- 1 x) B) |
(/ (- (+ 1 (* (pow B 2) (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x)))))) x) B) |
(/ (- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- 2/15 (+ (* 1/120 x) (+ (* 31/360 (- 1 x)) (* 1/6 (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x)))))))))) (+ (* -1/6 x) (* 1/6 (- 1 x)))))) x) B) |
(/ (- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- (+ 2/15 (* (pow B 2) (- 17/315 (+ (* -1/5040 x) (+ (* 173/5040 (- 1 x)) (+ (* 31/360 (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x))))) (* 1/6 (- 2/15 (+ (* 1/120 x) (+ (* 31/360 (- 1 x)) (* 1/6 (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x))))))))))))))) (+ (* 1/120 x) (+ (* 31/360 (- 1 x)) (* 1/6 (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x)))))))))) (+ (* -1/6 x) (* 1/6 (- 1 x)))))) x) B) |
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2)) |
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2)) |
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2)) |
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2)) |
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2)) |
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2)) |
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2)) |
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2)) |
(/ 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)))))) |
(* B (- 1 x)) |
(* B (- (+ 1 (* (pow B 2) (- 1/3 (* -1/6 x)))) x)) |
(* B (- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- 2/15 (* 1/120 x)))) (* -1/6 x)))) x)) |
(* B (- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- (+ 2/15 (* (pow B 2) (- 17/315 (* -1/5040 x)))) (* 1/120 x)))) (* -1/6 x)))) x)) |
(- (/ (sin B) (cos B)) (* x (sin B))) |
(- (/ (sin B) (cos B)) (* x (sin B))) |
(- (/ (sin B) (cos B)) (* x (sin B))) |
(- (/ (sin B) (cos B)) (* x (sin B))) |
(- (/ (sin B) (cos B)) (* x (sin B))) |
(- (/ (sin B) (cos B)) (* x (sin B))) |
(- (/ (sin B) (cos B)) (* x (sin B))) |
(- (/ (sin B) (cos B)) (* x (sin B))) |
(/ (sin B) (cos B)) |
(+ (* -1 (* x (sin B))) (/ (sin B) (cos B))) |
(+ (* -1 (* x (sin B))) (/ (sin B) (cos B))) |
(+ (* -1 (* x (sin B))) (/ (sin B) (cos B))) |
(* -1 (* x (sin B))) |
(* x (- (/ (sin B) (* x (cos B))) (sin B))) |
(* x (- (/ (sin B) (* x (cos B))) (sin B))) |
(* x (- (/ (sin B) (* x (cos B))) (sin B))) |
(* -1 (* x (sin B))) |
(* -1 (* x (- (* -1 (/ (sin B) (* x (cos B)))) (* -1 (sin B))))) |
(* -1 (* x (- (* -1 (/ (sin B) (* x (cos B)))) (* -1 (sin B))))) |
(* -1 (* x (- (* -1 (/ (sin B) (* x (cos B)))) (* -1 (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 (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 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 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))))) |
(/ (- 1 (pow x 2)) (* B (+ 1 x))) |
(/ (- 1 (pow x 2)) (* B (+ 1 x))) |
(/ (- 1 (pow x 2)) (* B (+ 1 x))) |
(/ (- 1 (pow x 2)) (* B (+ 1 x))) |
(/ (- 1 (pow x 2)) (* B (+ 1 x))) |
(/ (- 1 (pow x 2)) (* B (+ 1 x))) |
(/ (- 1 (pow x 2)) (* B (+ 1 x))) |
(/ (- 1 (pow x 2)) (* B (+ 1 x))) |
(* -1 (/ (- 1 (pow x 2)) (* B (- (* -1 x) 1)))) |
(* -1 (/ (- 1 (pow x 2)) (* B (- (* -1 x) 1)))) |
(* -1 (/ (- 1 (pow x 2)) (* B (- (* -1 x) 1)))) |
(* -1 (/ (- 1 (pow x 2)) (* B (- (* -1 x) 1)))) |
(/ 1 B) |
(+ (* -1 (/ x B)) (/ 1 B)) |
(+ (* -1 (/ x B)) (/ 1 B)) |
(+ (* -1 (/ x B)) (/ 1 B)) |
(* -1 (/ x B)) |
(* x (- (/ 1 (* B x)) (/ 1 B))) |
(* x (- (/ 1 (* B x)) (/ 1 B))) |
(* x (- (/ 1 (* B x)) (/ 1 B))) |
(* -1 (/ x B)) |
(* -1 (* x (- (/ 1 B) (/ 1 (* B x))))) |
(* -1 (* x (- (/ 1 B) (/ 1 (* B x))))) |
(* -1 (* x (- (/ 1 B) (/ 1 (* B x))))) |
(/ (- 1 (pow x 2)) (pow B 2)) |
(/ (- 1 (pow x 2)) (pow B 2)) |
(/ (- 1 (pow x 2)) (pow B 2)) |
(/ (- 1 (pow x 2)) (pow B 2)) |
(/ (- 1 (pow x 2)) (pow B 2)) |
(/ (- 1 (pow x 2)) (pow B 2)) |
(/ (- 1 (pow x 2)) (pow B 2)) |
(/ (- 1 (pow x 2)) (pow B 2)) |
(/ (- 1 (pow x 2)) (pow B 2)) |
(/ (- 1 (pow x 2)) (pow B 2)) |
(/ (- 1 (pow x 2)) (pow B 2)) |
(/ (- 1 (pow x 2)) (pow B 2)) |
(/ 1 (pow B 2)) |
(+ (* -1 (/ (pow x 2) (pow B 2))) (/ 1 (pow B 2))) |
(+ (* -1 (/ (pow x 2) (pow B 2))) (/ 1 (pow B 2))) |
(+ (* -1 (/ (pow x 2) (pow B 2))) (/ 1 (pow B 2))) |
(* -1 (/ (pow x 2) (pow B 2))) |
(* (pow x 2) (- (/ 1 (* (pow B 2) (pow x 2))) (/ 1 (pow B 2)))) |
(* (pow x 2) (- (/ 1 (* (pow B 2) (pow x 2))) (/ 1 (pow B 2)))) |
(* (pow x 2) (- (/ 1 (* (pow B 2) (pow x 2))) (/ 1 (pow B 2)))) |
(* -1 (/ (pow x 2) (pow B 2))) |
(* (pow x 2) (- (/ 1 (* (pow B 2) (pow x 2))) (/ 1 (pow B 2)))) |
(* (pow x 2) (- (/ 1 (* (pow B 2) (pow x 2))) (/ 1 (pow B 2)))) |
(* (pow x 2) (- (/ 1 (* (pow B 2) (pow x 2))) (/ 1 (pow B 2)))) |
(/ 1 (pow B 2)) |
(/ 1 (pow B 2)) |
(/ 1 (pow B 2)) |
(/ 1 (pow B 2)) |
(/ 1 (pow B 2)) |
(/ 1 (pow B 2)) |
(/ 1 (pow B 2)) |
(/ 1 (pow B 2)) |
(/ 1 (pow B 2)) |
(/ 1 (pow B 2)) |
(/ 1 (pow B 2)) |
(/ 1 (pow B 2)) |
(/ (pow x 2) (pow B 2)) |
(/ (pow x 2) (pow B 2)) |
(/ (pow x 2) (pow B 2)) |
(/ (pow x 2) (pow B 2)) |
(/ (pow x 2) (pow B 2)) |
(/ (pow x 2) (pow B 2)) |
(/ (pow x 2) (pow B 2)) |
(/ (pow x 2) (pow B 2)) |
(/ (pow x 2) (pow B 2)) |
(/ (pow x 2) (pow B 2)) |
(/ (pow x 2) (pow B 2)) |
(/ (pow x 2) (pow B 2)) |
(/ (pow x 2) (pow B 2)) |
(/ (pow x 2) (pow B 2)) |
(/ (pow x 2) (pow B 2)) |
(/ (pow x 2) (pow B 2)) |
(/ (pow x 2) (pow B 2)) |
(/ (pow x 2) (pow B 2)) |
(/ (pow x 2) (pow B 2)) |
(/ (pow x 2) (pow B 2)) |
(/ (pow x 2) (pow B 2)) |
(/ (pow x 2) (pow B 2)) |
(/ (pow x 2) (pow B 2)) |
(/ (pow x 2) (pow B 2)) |
(/ 1 B) |
(/ (+ 1 (* 1/6 (pow B 2))) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B) |
(/ (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)))))) |
(/ 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 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)) |
(* x (sin B)) |
(* x (sin B)) |
(* x (sin B)) |
(* x (sin B)) |
(* x (sin B)) |
(* x (sin B)) |
(* x (sin B)) |
(* x (sin B)) |
(* x (sin B)) |
(* x (sin B)) |
(* x (sin B)) |
(* x (sin B)) |
(* B x) |
(* B (+ x (* -1/6 (* (pow B 2) x)))) |
(* B (+ x (* (pow B 2) (+ (* -1/6 x) (* 1/120 (* (pow B 2) x)))))) |
(* B (+ x (* (pow B 2) (+ (* -1/6 x) (* (pow B 2) (+ (* -1/5040 (* (pow B 2) x)) (* 1/120 x))))))) |
(* x (sin B)) |
(* x (sin B)) |
(* x (sin B)) |
(* x (sin B)) |
(* x (sin B)) |
(* x (sin B)) |
(* x (sin B)) |
(* x (sin B)) |
1/6 |
(+ 1/6 (* 1/3 x)) |
(+ 1/6 (* 1/3 x)) |
(+ 1/6 (* 1/3 x)) |
(* 1/3 x) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(* 1/3 x) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(/ 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))) |
(/ (* 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)) |
(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) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (* (pow B 2) (- 1/3 (+ (* -1/6 x) (* -1/6 (- 1 x)))))) x) |
(-.f64 (fma.f64 (*.f64 B B) (fma.f64 #s(literal 1/6 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) x) |
(- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- 2/15 (+ (* -1/6 (- 1/3 (+ (* -1/6 x) (* -1/6 (- 1 x))))) (+ (* 1/120 x) (* 1/120 (- 1 x))))))) (+ (* -1/6 x) (* -1/6 (- 1 x)))))) x) |
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(/.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 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)) |
(* x (sin B)) |
(*.f64 x (sin.f64 B)) |
(* x (sin B)) |
(*.f64 x (sin.f64 B)) |
(* x (sin B)) |
(*.f64 x (sin.f64 B)) |
(* x (sin B)) |
(*.f64 x (sin.f64 B)) |
(* x (sin B)) |
(*.f64 x (sin.f64 B)) |
(* x (sin B)) |
(*.f64 x (sin.f64 B)) |
(* x (sin B)) |
(*.f64 x (sin.f64 B)) |
(* x (sin B)) |
(*.f64 x (sin.f64 B)) |
(* x (sin B)) |
(*.f64 x (sin.f64 B)) |
(* x (sin B)) |
(*.f64 x (sin.f64 B)) |
(* x (sin B)) |
(*.f64 x (sin.f64 B)) |
(* x (sin B)) |
(*.f64 x (sin.f64 B)) |
(* B x) |
(*.f64 x B) |
(* B (+ x (* -1/6 (* (pow B 2) x)))) |
(*.f64 B (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 B B)) x)) |
(* B (+ x (* (pow B 2) (+ (* -1/6 x) (* 1/120 (* (pow B 2) x)))))) |
(*.f64 B (fma.f64 (*.f64 x (*.f64 B B)) (fma.f64 (*.f64 B B) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)) |
(* B (+ x (* (pow B 2) (+ (* -1/6 x) (* (pow B 2) (+ (* -1/5040 (* (pow B 2) x)) (* 1/120 x))))))) |
(*.f64 B (fma.f64 (*.f64 B B) (fma.f64 (*.f64 x (*.f64 B B)) (fma.f64 (*.f64 B B) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x #s(literal -1/6 binary64))) x)) |
(* x (sin B)) |
(*.f64 x (sin.f64 B)) |
(* x (sin B)) |
(*.f64 x (sin.f64 B)) |
(* x (sin B)) |
(*.f64 x (sin.f64 B)) |
(* x (sin B)) |
(*.f64 x (sin.f64 B)) |
(* x (sin B)) |
(*.f64 x (sin.f64 B)) |
(* x (sin B)) |
(*.f64 x (sin.f64 B)) |
(* x (sin B)) |
(*.f64 x (sin.f64 B)) |
(* x (sin B)) |
(*.f64 x (sin.f64 B)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/3 x)) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/3 x)) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
(+ 1/6 (* 1/3 x)) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (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 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 (*.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))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 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 B) |
(/.f64 x B) |
(/ (+ x (* -1/3 (* (pow B 2) x))) B) |
(/.f64 (fma.f64 x (*.f64 B (*.f64 B #s(literal -1/3 binary64))) x) B) |
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/.f64 (fma.f64 B (neg.f64 (*.f64 B (*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))))) x) B) |
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/3 binary64) (neg.f64 (*.f64 (fma.f64 B (*.f64 B (*.f64 x #s(literal 2/945 binary64))) (*.f64 x #s(literal 1/45 binary64))) (*.f64 B B)))) x) B) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(/ (* x (cos B)) (sin B)) |
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) |
(pow B 2) |
(*.f64 B B) |
(* (pow B 2) (+ 1 (* -1/3 (pow B 2)))) |
(*.f64 B (*.f64 B (fma.f64 B (*.f64 B #s(literal -1/3 binary64)) #s(literal 1 binary64)))) |
(* (pow B 2) (+ 1 (* (pow B 2) (- (* 2/45 (pow B 2)) 1/3)))) |
(*.f64 (*.f64 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 |
| 1 958× | lower-fma.f32 |
| 1 954× | lower-fma.f64 |
| 1 804× | lower-/.f32 |
| 1 784× | lower-/.f64 |
| 1 772× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 281 |
| 0 | 82 | 260 |
| 1 | 391 | 186 |
| 0 | 3846 | 186 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) |
(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B)) |
(-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) |
(tan.f64 B) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) |
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B) |
#s(approx (- 1 x) #s(literal 1 binary64)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan 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 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 x B) (/.f64 x B))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B))) |
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 x B) (/.f64 x B))) |
(*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) |
(*.f64 (/.f64 x 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 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 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)) |
(*.f64 x (sin.f64 B)) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 x B) (/.f64 x B))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B)))) |
#s(approx (* x (/ 1 (tan B))) (/.f64 x B)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) |
| Outputs |
|---|
(+.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (*.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) #s(literal 0 binary64))) |
(+.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (*.f64 #s(literal 0 binary64) (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))))) |
(+.f64 (/.f64 (tan.f64 B) (sin.f64 B)) (neg.f64 (/.f64 (*.f64 x (sin.f64 B)) (sin.f64 B)))) |
(-.f64 (/.f64 (tan.f64 B) (sin.f64 B)) (/.f64 (*.f64 x (sin.f64 B)) (sin.f64 B))) |
(fma.f64 (tan.f64 B) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (neg.f64 (/.f64 (*.f64 x (sin.f64 B)) (sin.f64 B)))) |
(fma.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) #s(literal 0 binary64))) |
(fma.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 #s(literal 0 binary64) (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (*.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) #s(literal 0 binary64))) |
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(/.f64 (neg.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (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) (pow.f64 (*.f64 #s(literal 1/2 binary64) (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 26 964 to 2 549 computations (90.5% saved)
46 alts after pruning (43 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 184 | 25 | 1 209 |
| Fresh | 10 | 18 | 28 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 198 | 46 | 1 244 |
| Status | Accuracy | Program |
|---|---|---|
| 41.9% | (/.f64 (fma.f64 x (sin.f64 B) (tan.f64 B)) (*.f64 (tan.f64 B) (sin.f64 B))) | |
| 55.3% | (/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (/.f64 #s(literal 1 binary64) (cos.f64 B))) (tan.f64 B)) | |
| ▶ | 99.7% | (/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)) (tan.f64 B)) |
| 44.6% | (/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (neg.f64 x)) (tan.f64 B)) | |
| 99.7% | (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 #s(literal 1 binary64) x))) | |
| 70.8% | (+.f64 (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) | |
| 70.7% | (+.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 #s(literal 1 binary64) B))) | |
| 57.8% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (pow.f64 (sin.f64 B) #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)))) | |
| 57.8% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 B) #s(literal 2 binary64))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)))) | |
| 37.3% | (+.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 #s(literal 1 binary64) (sin.f64 B)))) | |
| 37.3% | (+.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))))) | |
| 99.6% | (*.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (tan.f64 B))) | |
| 44.6% | #s(approx (/ (/ (- (tan B) (* x (sin B))) (sin B)) (tan B)) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) | |
| 49.6% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) (*.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))) (neg.f64 x)) B)) | |
| 51.6% | #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)) | |
| ▶ | 51.6% | #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)) |
| 36.6% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (*.f64 (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) (*.f64 B x)) (*.f64 B B))) | |
| 51.8% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (fma.f64 x (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))) #s(literal 1 binary64))) x) B)) | |
| ▶ | 25.9% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B)))) x) B)) |
| 48.8% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) x)) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))) (*.f64 B (+.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) x))))) | |
| 26.8% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64))) B)) | |
| 25.9% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B)) | |
| 51.8% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))))) | |
| 51.8% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) B))) | |
| ▶ | 44.5% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))) |
| 99.7% | #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)))) | |
| 38.6% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (fma.f64 x (fma.f64 B (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x B))) (/.f64 x (neg.f64 B))))) | |
| ▶ | 2.9% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) |
| 36.0% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) B)) | |
| 49.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B)) | |
| 37.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 B (*.f64 B x)) (*.f64 B B))) | |
| ✓ | 51.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
| 47.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 #s(literal 1 binary64) x))) | |
| 25.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B)) | |
| ✓ | 26.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) |
| 51.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x)))) | |
| ✓ | 55.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 26.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B)))) | |
| 51.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B))) | |
| 14.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 B B)) (fma.f64 B x B)) (*.f64 B B))) | |
| 51.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x))) | |
| 21.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) B) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B x B)) (*.f64 B B))))) | |
| 36.6% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (exp.f64 (*.f64 (log.f64 (sin.f64 B)) #s(literal -1 binary64)))) | |
| 26.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B))) | |
| 26.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin 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))) | |
| 26.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin 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))) |
Compiled 1 480 to 852 computations (42.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (cos.f64 B) |
| ✓ | cost-diff | 0 | (/.f64 (cos.f64 B) (sin.f64 B)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x)) |
| ✓ | cost-diff | 0 | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))) |
| ✓ | cost-diff | 0 | (*.f64 B B) |
| ✓ | cost-diff | 0 | (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)) |
| ✓ | cost-diff | 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)) |
| ✓ | cost-diff | 192 | (/.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) |
| ✓ | cost-diff | 0 | #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B)))) |
| ✓ | cost-diff | 0 | (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B)))) x) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B)))) x) B) |
| ✓ | cost-diff | 0 | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B)))) x) B)) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) |
| ✓ | cost-diff | 0 | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (cos.f64 B)) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x) |
| ✓ | cost-diff | 0 | #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)) (tan.f64 B)) |
| 23 542× | lower-fma.f32 |
| 23 534× | lower-fma.f64 |
| 4 190× | lower-*.f32 |
| 4 180× | lower-*.f64 |
| 2 658× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 373 |
| 0 | 75 | 373 |
| 1 | 154 | 373 |
| 2 | 381 | 369 |
| 3 | 872 | 367 |
| 4 | 2252 | 367 |
| 5 | 5837 | 365 |
| 0 | 8270 | 359 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)) (tan.f64 B)) |
#s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x) |
(/.f64 #s(literal 1 binary64) (cos.f64 B)) |
#s(literal 1 binary64) |
(cos.f64 B) |
B |
x |
(tan.f64 B) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) |
#s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
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(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B)))) x) B)) |
(/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B)))) x) B) |
(-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B)))) x) |
#s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B)))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B))) |
#s(literal 1/3 binary64) |
(*.f64 x (*.f64 B B)) |
x |
(*.f64 B B) |
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 (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) |
(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)) |
(*.f64 B 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))) |
(fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) |
x |
#s(literal 1/45 binary64) |
#s(literal 7/360 binary64) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
#s(literal 1/3 binary64) |
#s(literal 1/6 binary64) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(cos.f64 B) |
B |
(sin.f64 B) |
(neg.f64 x) |
x |
| Outputs |
|---|
(/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)) (tan.f64 B)) |
#s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x) |
(/.f64 #s(literal 1 binary64) (cos.f64 B)) |
#s(literal 1 binary64) |
(cos.f64 B) |
B |
x |
(tan.f64 B) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) |
#s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
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(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B)))) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 x (*.f64 B (*.f64 B #s(literal 1/3 binary64))))) x) B)) |
(/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B)))) x) B) |
(/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 x (*.f64 B (*.f64 B #s(literal 1/3 binary64))))) x) B) |
(-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B)))) x) |
(-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 x (*.f64 B (*.f64 B #s(literal 1/3 binary64))))) x) |
#s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B)))) |
#s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 x (*.f64 B (*.f64 B #s(literal 1/3 binary64))))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B))) |
(*.f64 x (*.f64 B (*.f64 B #s(literal 1/3 binary64)))) |
#s(literal 1/3 binary64) |
(*.f64 x (*.f64 B B)) |
(*.f64 B (*.f64 B x)) |
x |
(*.f64 B B) |
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)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) B) (*.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))))) |
(/.f64 (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 (/.f64 (-.f64 #s(literal 1 binary64) x) B) (*.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) |
(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)) |
(fma.f64 B (*.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 B 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))) |
(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))) |
(fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) |
x |
#s(literal 1/45 binary64) |
#s(literal 7/360 binary64) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
#s(literal 1/3 binary64) |
#s(literal 1/6 binary64) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (neg.f64 (*.f64 x (cos.f64 B))) (sin.f64 B))) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 x (cos.f64 B))) (sin.f64 B)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(cos.f64 B) |
B |
(sin.f64 B) |
(neg.f64 x) |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (cos.f64 B) |
| ✓ | accuracy | 99.8% | (/.f64 (cos.f64 B) (sin.f64 B)) |
| ✓ | accuracy | 99.5% | (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x)) |
| ✓ | accuracy | 44.7% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))) |
| ✓ | accuracy | 99.8% | (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) |
| ✓ | accuracy | 99.8% | (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 96.3% | (/.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) |
| ✓ | accuracy | 51.6% | #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)) |
| ✓ | accuracy | 86.2% | (*.f64 x (*.f64 B B)) |
| ✓ | accuracy | 83.1% | (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B)))) x) B) |
| ✓ | accuracy | 51.9% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B)))) x) B)) |
| ✓ | accuracy | 28.2% | #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B)))) |
| ✓ | accuracy | 99.8% | (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.6% | (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
| ✓ | accuracy | 51.9% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) |
| ✓ | accuracy | 50.3% | #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) |
| ✓ | accuracy | 100.0% | (tan.f64 B) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (cos.f64 B)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)) (tan.f64 B)) |
| 109.0ms | 256× | 0 | valid |
Compiled 273 to 42 computations (84.6% saved)
ival-sub: 19.0ms (22.6% of total)ival-mult: 16.0ms (19% of total)ival-div: 12.0ms (14.3% of total)const: 11.0ms (13.1% of total)ival-add: 7.0ms (8.3% of total)ival-tan: 6.0ms (7.1% of total)ival-sin: 5.0ms (5.9% of total)ival-cos: 5.0ms (5.9% of total)ival-neg: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)) (tan.f64 B))> |
#<alt #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x))> |
#<alt (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)> |
#<alt (/.f64 #s(literal 1 binary64) (cos.f64 B))> |
#<alt #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))))> |
#<alt #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))> |
#<alt (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))> |
#<alt (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))> |
#<alt #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B)))) x) B))> |
#<alt (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B)))) x) B)> |
#<alt (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B)))) x)> |
#<alt #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B))))> |
#<alt (/.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)> |
#<alt #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))> |
#<alt (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))> |
#<alt (*.f64 B B)> |
#<alt #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x)))> |
#<alt (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))> |
#<alt (/.f64 (cos.f64 B) (sin.f64 B))> |
#<alt (cos.f64 B)> |
#<alt (tan.f64 B)> |
#<alt (*.f64 x (*.f64 B B))> |
#<alt (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))> |
| Outputs |
|---|
#<alt (/ (- 1 x) B)> |
#<alt (/ (- (+ 1 (* (pow B 2) (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x)))))) x) B)> |
#<alt (/ (- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- 2/15 (+ (* 1/120 x) (+ (* 31/360 (- 1 x)) (* 1/6 (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x)))))))))) (+ (* -1/6 x) (* 1/6 (- 1 x)))))) x) B)> |
#<alt (/ (- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- (+ 2/15 (* (pow B 2) (- 17/315 (+ (* -1/5040 x) (+ (* 173/5040 (- 1 x)) (+ (* 31/360 (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x))))) (* 1/6 (- 2/15 (+ (* 1/120 x) (+ (* 31/360 (- 1 x)) (* 1/6 (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x))))))))))))))) (+ (* 1/120 x) (+ (* 31/360 (- 1 x)) (* 1/6 (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x)))))))))) (+ (* -1/6 x) (* 1/6 (- 1 x)))))) x) B)> |
#<alt (/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))> |
#<alt (/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))> |
#<alt (/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))> |
#<alt (/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))> |
#<alt (/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))> |
#<alt (/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))> |
#<alt (/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))> |
#<alt (/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2))> |
#<alt (/ 1 (sin B))> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))> |
#<alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))> |
#<alt (* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))> |
#<alt (* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))> |
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))> |
#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))> |
#<alt (- 1 x)> |
#<alt (- (+ 1 (* (pow B 2) (- 1/3 (+ (* -1/6 x) (* -1/6 (- 1 x)))))) x)> |
#<alt (- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- 2/15 (+ (* -1/6 (- 1/3 (+ (* -1/6 x) (* -1/6 (- 1 x))))) (+ (* 1/120 x) (* 1/120 (- 1 x))))))) (+ (* -1/6 x) (* -1/6 (- 1 x)))))) x)> |
#<alt (- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- (+ 2/15 (* (pow B 2) (- 17/315 (+ (* -1/6 (- 2/15 (+ (* -1/6 (- 1/3 (+ (* -1/6 x) (* -1/6 (- 1 x))))) (+ (* 1/120 x) (* 1/120 (- 1 x)))))) (+ (* -1/5040 x) (+ (* -1/5040 (- 1 x)) (* 1/120 (- 1/3 (+ (* -1/6 x) (* -1/6 (- 1 x))))))))))) (+ (* -1/6 (- 1/3 (+ (* -1/6 x) (* -1/6 (- 1 x))))) (+ (* 1/120 x) (* 1/120 (- 1 x))))))) (+ (* -1/6 x) (* -1/6 (- 1 x)))))) x)> |
#<alt (/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B))> |
#<alt (/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B))> |
#<alt (/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B))> |
#<alt (/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B))> |
#<alt (/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B))> |
#<alt (/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B))> |
#<alt (/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B))> |
#<alt (/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B))> |
#<alt (/ 1 (cos B))> |
#<alt (+ (* -1 x) (/ 1 (cos B)))> |
#<alt (+ (* -1 x) (/ 1 (cos B)))> |
#<alt (+ (* -1 x) (/ 1 (cos B)))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ 1 (* x (cos B))) 1))> |
#<alt (* x (- (/ 1 (* x (cos B))) 1))> |
#<alt (* x (- (/ 1 (* x (cos B))) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (/ 1 (* x (cos B))))))> |
#<alt (* -1 (* x (- 1 (/ 1 (* x (cos B))))))> |
#<alt (* -1 (* x (- 1 (/ 1 (* x (cos B))))))> |
#<alt (- 1 x)> |
#<alt (- (+ 1 (* 1/2 (pow B 2))) x)> |
#<alt (- (+ 1 (* (pow B 2) (+ 1/2 (* 5/24 (pow B 2))))) x)> |
#<alt (- (+ 1 (* (pow B 2) (+ 1/2 (* (pow B 2) (+ 5/24 (* 61/720 (pow B 2))))))) x)> |
#<alt (- (/ 1 (cos B)) x)> |
#<alt (- (/ 1 (cos B)) x)> |
#<alt (- (/ 1 (cos B)) x)> |
#<alt (- (/ 1 (cos B)) x)> |
#<alt (- (/ 1 (cos B)) x)> |
#<alt (- (/ 1 (cos B)) x)> |
#<alt (- (/ 1 (cos B)) x)> |
#<alt (- (/ 1 (cos B)) x)> |
#<alt (/ 1 (cos B))> |
#<alt (+ (* -1 x) (/ 1 (cos B)))> |
#<alt (+ (* -1 x) (/ 1 (cos B)))> |
#<alt (+ (* -1 x) (/ 1 (cos B)))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ 1 (* x (cos B))) 1))> |
#<alt (* x (- (/ 1 (* x (cos B))) 1))> |
#<alt (* x (- (/ 1 (* x (cos B))) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (/ 1 (* x (cos B))))))> |
#<alt (* -1 (* x (- 1 (/ 1 (* x (cos B))))))> |
#<alt (* -1 (* x (- 1 (/ 1 (* x (cos B))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (pow B 2)))> |
#<alt (+ 1 (* (pow B 2) (+ 1/2 (* 5/24 (pow B 2)))))> |
#<alt (+ 1 (* (pow B 2) (+ 1/2 (* (pow B 2) (+ 5/24 (* 61/720 (pow B 2)))))))> |
#<alt (/ 1 (cos B))> |
#<alt (/ 1 (cos B))> |
#<alt (/ 1 (cos B))> |
#<alt (/ 1 (cos B))> |
#<alt (/ 1 (cos B))> |
#<alt (/ 1 (cos B))> |
#<alt (/ 1 (cos B))> |
#<alt (/ 1 (cos B))> |
#<alt (/ (- 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)))> |
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#<alt (* 1/6 B)> |
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#<alt (+ (* 1/6 B) (* 1/3 (* B x)))> |
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#<alt (* x (+ (* 1/6 (/ B x)) (* 1/3 B)))> |
#<alt (* x (+ (* 1/6 (/ B x)) (* 1/3 B)))> |
#<alt (* 1/3 (* B x))> |
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#<alt (* -1 (* x (+ (* -1/3 B) (* -1/6 (/ B x)))))> |
#<alt (* -1 (* x (+ (* -1/3 B) (* -1/6 (/ B x)))))> |
#<alt 1/6> |
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#<alt (* 1/3 x)> |
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#<alt (* x (+ 1/3 (* 1/6 (/ 1 x))))> |
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#<alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))> |
#<alt (/ (- 1 x) B)> |
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#<alt (/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)> |
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#<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)))> |
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#<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)> |
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#<alt 1> |
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#<alt (/ (- 1 x) B)> |
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#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (pow B 2)> |
#<alt (/ (- 1 x) B)> |
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#<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 x) (* -1 (* (pow B 2) (- (* -1/2 x) (* -1/6 x))))) B)> |
#<alt (/ (+ (* -1 x) (* (pow B 2) (+ (* -1 (* (pow B 2) (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))) (* -1 (- (* -1/2 x) (* -1/6 x)))))) B)> |
#<alt (/ (+ (* -1 x) (* (pow B 2) (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (* (pow B 2) (+ (* -1 (* (pow B 2) (- (* -1/720 x) (+ (* -1/6 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)))) (+ (* -1/5040 x) (* 1/120 (- (* -1/2 x) (* -1/6 x)))))))) (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))))))) B)> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (* -1 (/ (* x (cos B)) (sin B)))> |
#<alt (/ 1 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> |
#<alt (+ 1 (* -1/2 (pow B 2)))> |
#<alt (+ 1 (* (pow B 2) (- (* 1/24 (pow B 2)) 1/2)))> |
#<alt (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/24 (* -1/720 (pow B 2)))) 1/2)))> |
#<alt (cos B)> |
#<alt (cos B)> |
#<alt (cos B)> |
#<alt (cos B)> |
#<alt (cos B)> |
#<alt (cos B)> |
#<alt (cos B)> |
#<alt (cos B)> |
#<alt B> |
#<alt (* B (+ 1 (* 1/3 (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 (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt (* (pow B 2) x)> |
#<alt 7/360> |
#<alt (+ 7/360 (* 1/45 x))> |
#<alt (+ 7/360 (* 1/45 x))> |
#<alt (+ 7/360 (* 1/45 x))> |
#<alt (* 1/45 x)> |
#<alt (* x (+ 1/45 (* 7/360 (/ 1 x))))> |
#<alt (* x (+ 1/45 (* 7/360 (/ 1 x))))> |
#<alt (* x (+ 1/45 (* 7/360 (/ 1 x))))> |
#<alt (* 1/45 x)> |
#<alt (* x (+ 1/45 (* 7/360 (/ 1 x))))> |
#<alt (* x (+ 1/45 (* 7/360 (/ 1 x))))> |
#<alt (* x (+ 1/45 (* 7/360 (/ 1 x))))> |
117 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | B | @ | inf | (* (/ (cos B) (sin B)) (neg x)) |
| 1.0ms | x | @ | inf | (/ (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) B) |
| 1.0ms | x | @ | 0 | (/ (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) B) |
| 1.0ms | x | @ | -inf | (/ (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) B) |
| 1.0ms | B | @ | -inf | (* (/ (cos B) (sin B)) (neg x)) |
| 1× | egg-herbie |
| 10 378× | lower-fma.f64 |
| 10 378× | lower-fma.f32 |
| 4 648× | lower-*.f64 |
| 4 648× | lower-*.f32 |
| 4 034× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 437 | 5883 |
| 1 | 1355 | 5755 |
| 2 | 4571 | 5565 |
| 0 | 8164 | 5160 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- 1 x) B) |
(/ (- (+ 1 (* (pow B 2) (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x)))))) x) B) |
(/ (- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- 2/15 (+ (* 1/120 x) (+ (* 31/360 (- 1 x)) (* 1/6 (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x)))))))))) (+ (* -1/6 x) (* 1/6 (- 1 x)))))) x) B) |
(/ (- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- (+ 2/15 (* (pow B 2) (- 17/315 (+ (* -1/5040 x) (+ (* 173/5040 (- 1 x)) (+ (* 31/360 (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x))))) (* 1/6 (- 2/15 (+ (* 1/120 x) (+ (* 31/360 (- 1 x)) (* 1/6 (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x))))))))))))))) (+ (* 1/120 x) (+ (* 31/360 (- 1 x)) (* 1/6 (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x)))))))))) (+ (* -1/6 x) (* 1/6 (- 1 x)))))) x) B) |
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2)) |
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2)) |
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2)) |
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2)) |
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2)) |
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2)) |
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2)) |
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2)) |
(/ 1 (sin B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) |
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) |
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) |
(- 1 x) |
(- (+ 1 (* (pow B 2) (- 1/3 (+ (* -1/6 x) (* -1/6 (- 1 x)))))) x) |
(- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- 2/15 (+ (* -1/6 (- 1/3 (+ (* -1/6 x) (* -1/6 (- 1 x))))) (+ (* 1/120 x) (* 1/120 (- 1 x))))))) (+ (* -1/6 x) (* -1/6 (- 1 x)))))) x) |
(- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- (+ 2/15 (* (pow B 2) (- 17/315 (+ (* -1/6 (- 2/15 (+ (* -1/6 (- 1/3 (+ (* -1/6 x) (* -1/6 (- 1 x))))) (+ (* 1/120 x) (* 1/120 (- 1 x)))))) (+ (* -1/5040 x) (+ (* -1/5040 (- 1 x)) (* 1/120 (- 1/3 (+ (* -1/6 x) (* -1/6 (- 1 x))))))))))) (+ (* -1/6 (- 1/3 (+ (* -1/6 x) (* -1/6 (- 1 x))))) (+ (* 1/120 x) (* 1/120 (- 1 x))))))) (+ (* -1/6 x) (* -1/6 (- 1 x)))))) x) |
(/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B)) |
(/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B)) |
(/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B)) |
(/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B)) |
(/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B)) |
(/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B)) |
(/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B)) |
(/ (- (/ (sin B) (cos B)) (* x (sin B))) (sin B)) |
(/ 1 (cos B)) |
(+ (* -1 x) (/ 1 (cos B))) |
(+ (* -1 x) (/ 1 (cos B))) |
(+ (* -1 x) (/ 1 (cos B))) |
(* -1 x) |
(* x (- (/ 1 (* x (cos B))) 1)) |
(* x (- (/ 1 (* x (cos B))) 1)) |
(* x (- (/ 1 (* x (cos B))) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 (* x (cos B)))))) |
(* -1 (* x (- 1 (/ 1 (* x (cos B)))))) |
(* -1 (* x (- 1 (/ 1 (* x (cos B)))))) |
(- 1 x) |
(- (+ 1 (* 1/2 (pow B 2))) x) |
(- (+ 1 (* (pow B 2) (+ 1/2 (* 5/24 (pow B 2))))) x) |
(- (+ 1 (* (pow B 2) (+ 1/2 (* (pow B 2) (+ 5/24 (* 61/720 (pow B 2))))))) x) |
(- (/ 1 (cos B)) x) |
(- (/ 1 (cos B)) x) |
(- (/ 1 (cos B)) x) |
(- (/ 1 (cos B)) x) |
(- (/ 1 (cos B)) x) |
(- (/ 1 (cos B)) x) |
(- (/ 1 (cos B)) x) |
(- (/ 1 (cos B)) x) |
(/ 1 (cos B)) |
(+ (* -1 x) (/ 1 (cos B))) |
(+ (* -1 x) (/ 1 (cos B))) |
(+ (* -1 x) (/ 1 (cos B))) |
(* -1 x) |
(* x (- (/ 1 (* x (cos B))) 1)) |
(* x (- (/ 1 (* x (cos B))) 1)) |
(* x (- (/ 1 (* x (cos B))) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 (* x (cos B)))))) |
(* -1 (* x (- 1 (/ 1 (* x (cos B)))))) |
(* -1 (* x (- 1 (/ 1 (* x (cos B)))))) |
1 |
(+ 1 (* 1/2 (pow B 2))) |
(+ 1 (* (pow B 2) (+ 1/2 (* 5/24 (pow B 2))))) |
(+ 1 (* (pow B 2) (+ 1/2 (* (pow B 2) (+ 5/24 (* 61/720 (pow B 2))))))) |
(/ 1 (cos B)) |
(/ 1 (cos B)) |
(/ 1 (cos B)) |
(/ 1 (cos B)) |
(/ 1 (cos B)) |
(/ 1 (cos B)) |
(/ 1 (cos B)) |
(/ 1 (cos 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))))) |
(* B (+ 1/6 (* 1/3 x))) |
(* B (+ 1/6 (* 1/3 x))) |
(* B (+ 1/6 (* 1/3 x))) |
(* B (+ 1/6 (* 1/3 x))) |
(* B (+ 1/6 (* 1/3 x))) |
(* B (+ 1/6 (* 1/3 x))) |
(* B (+ 1/6 (* 1/3 x))) |
(* B (+ 1/6 (* 1/3 x))) |
(* B (+ 1/6 (* 1/3 x))) |
(* B (+ 1/6 (* 1/3 x))) |
(* B (+ 1/6 (* 1/3 x))) |
(* B (+ 1/6 (* 1/3 x))) |
(* 1/6 B) |
(+ (* 1/6 B) (* 1/3 (* B x))) |
(+ (* 1/6 B) (* 1/3 (* B x))) |
(+ (* 1/6 B) (* 1/3 (* B x))) |
(* 1/3 (* B x)) |
(* x (+ (* 1/6 (/ B x)) (* 1/3 B))) |
(* x (+ (* 1/6 (/ B x)) (* 1/3 B))) |
(* x (+ (* 1/6 (/ B x)) (* 1/3 B))) |
(* 1/3 (* B x)) |
(* -1 (* x (+ (* -1/3 B) (* -1/6 (/ B x))))) |
(* -1 (* x (+ (* -1/3 B) (* -1/6 (/ B x))))) |
(* -1 (* x (+ (* -1/3 B) (* -1/6 (/ B x))))) |
1/6 |
(+ 1/6 (* 1/3 x)) |
(+ 1/6 (* 1/3 x)) |
(+ 1/6 (* 1/3 x)) |
(* 1/3 x) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(* 1/3 x) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(* x (+ 1/3 (* 1/6 (/ 1 x)))) |
(/ (- 1 x) B) |
(/ (- (+ 1 (* (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))))) |
(/ (- 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 (* 1/45 x))))))) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (* 1/45 x))))))) x) B) |
(* (pow B 3) (+ 7/360 (* 1/45 x))) |
(* (pow B 3) (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (* 1/6 (/ 1 (pow B 2))))))) |
(* (pow B 3) (- (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4)))))) (/ x (pow B 4)))) |
(* (pow B 3) (- (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4)))))) (/ x (pow B 4)))) |
(* (pow B 3) (+ 7/360 (* 1/45 x))) |
(* -1 (* (pow B 3) (+ (* -1 (+ 7/360 (* 1/45 x))) (* -1 (/ (+ 1/6 (* 1/3 x)) (pow B 2)))))) |
(* -1 (* (pow B 3) (+ (* -1 (+ 7/360 (* 1/45 x))) (+ (* -1 (/ (+ 1/6 (* 1/3 x)) (pow B 2))) (* -1 (/ (- 1 x) (pow B 4))))))) |
(* -1 (* (pow B 3) (+ (* -1 (+ 7/360 (* 1/45 x))) (+ (* -1 (/ (+ 1/6 (* 1/3 x)) (pow B 2))) (* -1 (/ (- 1 x) (pow B 4))))))) |
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B) |
(+ (* B (+ 1/6 (* 7/360 (pow B 2)))) (+ (* x (- (* B (+ 1/3 (* 1/45 (pow B 2)))) (/ 1 B))) (/ 1 B))) |
(+ (* B (+ 1/6 (* 7/360 (pow B 2)))) (+ (* x (- (* B (+ 1/3 (* 1/45 (pow B 2)))) (/ 1 B))) (/ 1 B))) |
(+ (* B (+ 1/6 (* 7/360 (pow B 2)))) (+ (* x (- (* B (+ 1/3 (* 1/45 (pow B 2)))) (/ 1 B))) (/ 1 B))) |
(/ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)) B) |
(* x (- (+ (* B (+ 1/3 (* 1/45 (pow B 2)))) (+ (/ 1 (* B x)) (/ (* B (+ 1/6 (* 7/360 (pow B 2)))) x))) (/ 1 B))) |
(* x (- (+ (* B (+ 1/3 (* 1/45 (pow B 2)))) (+ (/ 1 (* B x)) (/ (* B (+ 1/6 (* 7/360 (pow B 2)))) x))) (/ 1 B))) |
(* x (- (+ (* B (+ 1/3 (* 1/45 (pow B 2)))) (+ (/ 1 (* B x)) (/ (* B (+ 1/6 (* 7/360 (pow B 2)))) x))) (/ 1 B))) |
(* -1 (/ (* x (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3)))) B)) |
(* -1 (* x (+ (* -1 (/ (+ (* B (+ 1/6 (* 7/360 (pow B 2)))) (/ 1 B)) x)) (+ (* B (- (* -1/45 (pow B 2)) 1/3)) (/ 1 B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* B (+ 1/6 (* 7/360 (pow B 2)))) (/ 1 B)) x)) (+ (* B (- (* -1/45 (pow B 2)) 1/3)) (/ 1 B))))) |
(* -1 (* x (+ (* -1 (/ (+ (* B (+ 1/6 (* 7/360 (pow B 2)))) (/ 1 B)) x)) (+ (* B (- (* -1/45 (pow B 2)) 1/3)) (/ 1 B))))) |
(/ (- 1 x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) |
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (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) |
(- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) |
(- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (* 1/45 x))))))) x) |
(- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (* 1/45 x))))))) x) |
(* (pow B 4) (+ 7/360 (* 1/45 x))) |
(* (pow B 4) (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (* 1/6 (/ 1 (pow B 2))))))) |
(* (pow B 4) (- (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4)))))) (/ x (pow B 4)))) |
(* (pow B 4) (- (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4)))))) (/ x (pow B 4)))) |
(* (pow B 4) (+ 7/360 (* 1/45 x))) |
(* (pow B 4) (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (* 1/6 (/ 1 (pow B 2))))))) |
(* (pow B 4) (- (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4)))))) (/ x (pow B 4)))) |
(* (pow B 4) (- (+ 7/360 (+ (* 1/45 x) (+ (* 1/3 (/ x (pow B 2))) (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4)))))) (/ x (pow B 4)))) |
(+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) |
(+ 1 (+ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)) (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))))) |
(+ 1 (+ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)) (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))))) |
(+ 1 (+ (* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)) (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))))) |
(* x (- (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) 1)) |
(* x (- (+ (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) (+ (/ 1 x) (/ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))) x))) 1)) |
(* x (- (+ (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) (+ (/ 1 x) (/ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))) x))) 1)) |
(* x (- (+ (* (pow B 2) (+ 1/3 (* 1/45 (pow B 2)))) (+ (/ 1 x) (/ (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2)))) x))) 1)) |
(* -1 (* x (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) x)) (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3)))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) x)) (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3)))))) |
(* -1 (* x (+ 1 (+ (* -1 (/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) x)) (* (pow B 2) (- (* -1/45 (pow B 2)) 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) |
(/ (- 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 x) (* -1 (* (pow B 2) (- (* -1/2 x) (* -1/6 x))))) B) |
(/ (+ (* -1 x) (* (pow B 2) (+ (* -1 (* (pow B 2) (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))) (* -1 (- (* -1/2 x) (* -1/6 x)))))) B) |
(/ (+ (* -1 x) (* (pow B 2) (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (* (pow B 2) (+ (* -1 (* (pow B 2) (- (* -1/720 x) (+ (* -1/6 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)))) (+ (* -1/5040 x) (* 1/120 (- (* -1/2 x) (* -1/6 x)))))))) (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))))))) B) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/ 1 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 |
(+ 1 (* -1/2 (pow B 2))) |
(+ 1 (* (pow B 2) (- (* 1/24 (pow B 2)) 1/2))) |
(+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/24 (* -1/720 (pow B 2)))) 1/2))) |
(cos B) |
(cos B) |
(cos B) |
(cos B) |
(cos B) |
(cos B) |
(cos B) |
(cos B) |
B |
(* B (+ 1 (* 1/3 (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)) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
(* (pow B 2) x) |
7/360 |
(+ 7/360 (* 1/45 x)) |
(+ 7/360 (* 1/45 x)) |
(+ 7/360 (* 1/45 x)) |
(* 1/45 x) |
(* x (+ 1/45 (* 7/360 (/ 1 x)))) |
(* x (+ 1/45 (* 7/360 (/ 1 x)))) |
(* x (+ 1/45 (* 7/360 (/ 1 x)))) |
(* 1/45 x) |
(* x (+ 1/45 (* 7/360 (/ 1 x)))) |
(* x (+ 1/45 (* 7/360 (/ 1 x)))) |
(* x (+ 1/45 (* 7/360 (/ 1 x)))) |
| Outputs |
|---|
(/ (- 1 x) B) |
(/.f64 (-.f64 #s(literal 1 binary64) x) B) |
(/ (- (+ 1 (* (pow B 2) (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x)))))) x) B) |
(/.f64 (fma.f64 B (*.f64 B (+.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/6 binary64))) (*.f64 x #s(literal 1/6 binary64)))) (-.f64 #s(literal 1 binary64) x)) B) |
(/ (- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- 2/15 (+ (* 1/120 x) (+ (* 31/360 (- 1 x)) (* 1/6 (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x)))))))))) (+ (* -1/6 x) (* 1/6 (- 1 x)))))) x) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (-.f64 #s(literal 2/15 binary64) (fma.f64 #s(literal 1/6 binary64) (+.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/6 binary64))) (*.f64 x #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/120 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 31/360 binary64))))) (+.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/6 binary64))) (*.f64 x #s(literal 1/6 binary64)))) (-.f64 #s(literal 1 binary64) x)) B) |
(/ (- (+ 1 (* (pow B 2) (- (+ 1/3 (* (pow B 2) (- (+ 2/15 (* (pow B 2) (- 17/315 (+ (* -1/5040 x) (+ (* 173/5040 (- 1 x)) (+ (* 31/360 (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x))))) (* 1/6 (- 2/15 (+ (* 1/120 x) (+ (* 31/360 (- 1 x)) (* 1/6 (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x))))))))))))))) (+ (* 1/120 x) (+ (* 31/360 (- 1 x)) (* 1/6 (- 1/3 (+ (* -1/6 x) (* 1/6 (- 1 x)))))))))) (+ (* -1/6 x) (* 1/6 (- 1 x)))))) x) B) |
(/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (-.f64 (fma.f64 (*.f64 B B) (-.f64 #s(literal 17/315 binary64) (fma.f64 x #s(literal -1/5040 binary64) (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 2/15 binary64) (fma.f64 #s(literal 1/6 binary64) (+.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/6 binary64))) (*.f64 x #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/120 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 31/360 binary64))))) (fma.f64 (+.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/6 binary64))) (*.f64 x #s(literal 1/6 binary64))) #s(literal 31/360 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 173/5040 binary64)))))) #s(literal 2/15 binary64)) (fma.f64 #s(literal 1/6 binary64) (+.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/6 binary64))) (*.f64 x #s(literal 1/6 binary64))) (fma.f64 x #s(literal 1/120 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 31/360 binary64))))) (+.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/6 binary64))) (*.f64 x #s(literal 1/6 binary64)))) (-.f64 #s(literal 1 binary64) x)) B) |
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (-.f64 (/.f64 (sin.f64 B) (*.f64 (sin.f64 B) (cos.f64 B))) x)) |
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (-.f64 (/.f64 (sin.f64 B) (*.f64 (sin.f64 B) (cos.f64 B))) x)) |
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (-.f64 (/.f64 (sin.f64 B) (*.f64 (sin.f64 B) (cos.f64 B))) x)) |
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (-.f64 (/.f64 (sin.f64 B) (*.f64 (sin.f64 B) (cos.f64 B))) x)) |
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (-.f64 (/.f64 (sin.f64 B) (*.f64 (sin.f64 B) (cos.f64 B))) x)) |
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (-.f64 (/.f64 (sin.f64 B) (*.f64 (sin.f64 B) (cos.f64 B))) x)) |
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (-.f64 (/.f64 (sin.f64 B) (*.f64 (sin.f64 B) (cos.f64 B))) x)) |
(/ (* (cos B) (- (/ (sin B) (cos B)) (* x (sin B)))) (pow (sin B) 2)) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (-.f64 (/.f64 (sin.f64 B) (*.f64 (sin.f64 B) (cos.f64 B))) x)) |
(/ 1 (sin B)) |
(/.f64 #s(literal 1 binary64) (sin.f64 B)) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(* -1 (/ (* x (cos B)) (sin B))) |
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))) |
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) |
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(/ (sin B) (cos B)) |
(/.f64 (sin.f64 B) (cos.f64 B)) |
(/ (sin B) (cos B)) |
(/.f64 (sin.f64 B) (cos.f64 B)) |
(/ (sin B) (cos B)) |
(/.f64 (sin.f64 B) (cos.f64 B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B B)) |
(* (pow B 2) x) |
(*.f64 x (*.f64 B B)) |
7/360 |
#s(literal 7/360 binary64) |
(+ 7/360 (* 1/45 x)) |
(fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) |
(+ 7/360 (* 1/45 x)) |
(fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) |
(+ 7/360 (* 1/45 x)) |
(fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) |
(* 1/45 x) |
(*.f64 x #s(literal 1/45 binary64)) |
(* x (+ 1/45 (* 7/360 (/ 1 x)))) |
(fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) |
(* x (+ 1/45 (* 7/360 (/ 1 x)))) |
(fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) |
(* x (+ 1/45 (* 7/360 (/ 1 x)))) |
(fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) |
(* 1/45 x) |
(*.f64 x #s(literal 1/45 binary64)) |
(* x (+ 1/45 (* 7/360 (/ 1 x)))) |
(fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) |
(* x (+ 1/45 (* 7/360 (/ 1 x)))) |
(fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) |
(* x (+ 1/45 (* 7/360 (/ 1 x)))) |
(fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) |
| 1× | batch-egg-rewrite |
| 5 926× | lower-*.f32 |
| 5 916× | lower-*.f64 |
| 3 308× | lower-/.f32 |
| 3 298× | lower-/.f64 |
| 2 658× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 319 |
| 0 | 75 | 316 |
| 1 | 339 | 312 |
| 2 | 2885 | 312 |
| 0 | 8397 | 306 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)) (tan.f64 B)) |
#s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x) |
(/.f64 #s(literal 1 binary64) (cos.f64 B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) |
#s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) |
(*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B)))) x) B)) |
(/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B)))) x) B) |
(-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B)))) x) |
#s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B 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) |
#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)) |
(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)) |
(*.f64 B B) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))) |
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x)) |
(/.f64 (cos.f64 B) (sin.f64 B)) |
(cos.f64 B) |
(tan.f64 B) |
(*.f64 x (*.f64 B B)) |
(fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 B) #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)) (neg.f64 (tan.f64 B)))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x))) (tan.f64 B))) |
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (tan.f64 B) #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x))) #s(literal 1 binary64))) |
(/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)) (tan.f64 B)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (tan.f64 B) #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x))))) |
(/.f64 (neg.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x))) (neg.f64 (tan.f64 B))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)))) (neg.f64 (neg.f64 (tan.f64 B)))) |
(/.f64 (*.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)) (cos.f64 B)) (sin.f64 B)) |
(/.f64 (*.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)) #s(literal 1 binary64)) (tan.f64 B)) |
(/.f64 (*.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)) (neg.f64 (cos.f64 B))) (neg.f64 (sin.f64 B))) |
(pow.f64 (/.f64 (tan.f64 B) #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (tan.f64 B) #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)) (tan.f64 B))) |
(*.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)) (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 B)))) |
(*.f64 (*.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)) (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(*.f64 (/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)) (sin.f64 B)) (cos.f64 B)) |
#s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)) |
(+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) (neg.f64 x)) |
(+.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 B))) |
(-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x) |
(-.f64 (/.f64 (pow.f64 (cos.f64 B) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (fma.f64 x x (/.f64 x (cos.f64 B))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (fma.f64 x x (/.f64 x (cos.f64 B)))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (+.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 B)))) (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 B))))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) #s(literal 0 binary64)) x) |
(fma.f64 x #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 B))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 B)) (neg.f64 x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) #s(literal 1 binary64) (neg.f64 x)) |
(fma.f64 #s(literal -1 binary64) x (/.f64 #s(literal 1 binary64) (cos.f64 B))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 B))) (neg.f64 x)) |
(fma.f64 (pow.f64 (cos.f64 B) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 B) #s(literal -1/2 binary64)) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (fma.f64 x x (/.f64 x (cos.f64 B)))) (-.f64 (pow.f64 (cos.f64 B) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 B))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 B) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (fma.f64 x x (/.f64 x (cos.f64 B))))) |
(/.f64 (-.f64 (pow.f64 (cos.f64 B) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (-.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (cos.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 #s(literal 2 binary64) B))))) (*.f64 x x)) (+.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 B)))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) (neg.f64 x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 B) #s(literal -3 binary64)) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (fma.f64 x x (/.f64 x (cos.f64 B)))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (*.f64 x x))) (neg.f64 (+.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 B))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 B) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (fma.f64 x x (/.f64 x (cos.f64 B))))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (fma.f64 x x (/.f64 x (cos.f64 B)))) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (fma.f64 x x (/.f64 x (cos.f64 B)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (fma.f64 x x (/.f64 x (cos.f64 B)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (+.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 B)))) (*.f64 (+.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 B))) (*.f64 x x))) (*.f64 (+.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 B))) (+.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 B))))) |
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (fma.f64 x x (/.f64 x (cos.f64 B)))) (-.f64 (pow.f64 (cos.f64 B) #s(literal -3 binary64)) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 B))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (pow.f64 (cos.f64 B) #s(literal -3 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (fma.f64 x x (/.f64 x (cos.f64 B)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B))))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 B))))) |
(exp.f64 (neg.f64 (log.f64 (cos.f64 B)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 B))) |
(/.f64 #s(literal 1 binary64) (cos.f64 B)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cos.f64 B)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 B))) |
(pow.f64 (cos.f64 B) #s(literal -1 binary64)) |
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) B)))) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (cos.f64 B))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (cos.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 B))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 B)))) |
(*.f64 (pow.f64 (cos.f64 B) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 B) #s(literal -1/2 binary64))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) |
#s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) |
(+.f64 (*.f64 B #s(literal 1/6 binary64)) (*.f64 B (*.f64 x #s(literal 1/3 binary64)))) |
(+.f64 (*.f64 B (*.f64 x #s(literal 1/3 binary64))) (*.f64 B #s(literal 1/6 binary64))) |
(fma.f64 B (*.f64 x #s(literal 1/3 binary64)) (*.f64 B #s(literal 1/6 binary64))) |
(fma.f64 B #s(literal 1/6 binary64) (*.f64 B (*.f64 x #s(literal 1/3 binary64)))) |
(fma.f64 x (*.f64 #s(literal 1/3 binary64) B) (*.f64 B #s(literal 1/6 binary64))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 B x) (*.f64 B #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x #s(literal 1/3 binary64)) B (*.f64 B #s(literal 1/6 binary64))) |
(fma.f64 #s(literal 1/6 binary64) B (*.f64 B (*.f64 x #s(literal 1/3 binary64)))) |
(fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (*.f64 B #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 B #s(literal 1/3 binary64)) x (*.f64 B #s(literal 1/6 binary64))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 B))) |
(/.f64 (neg.f64 (cos.f64 B)) (neg.f64 (sin.f64 B))) |
(/.f64 (neg.f64 (neg.f64 (cos.f64 B))) (neg.f64 (neg.f64 (sin.f64 B)))) |
(/.f64 (*.f64 (cos.f64 B) #s(literal -1 binary64)) (neg.f64 (sin.f64 B))) |
(pow.f64 (tan.f64 B) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (tan.f64 B) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(*.f64 (cos.f64 B) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (cos.f64 B)) |
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 B)))) |
(exp.f64 (log.f64 (cos.f64 B))) |
(cos.f64 B) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 B))) |
(/.f64 (cos.f64 B) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (cos.f64 B)) #s(literal -1 binary64)) |
(pow.f64 (cos.f64 B) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) #s(literal -1 binary64)) |
(*.f64 (cos.f64 B) #s(literal 1 binary64)) |
(tan.f64 B) |
(/.f64 (sin.f64 B) (cos.f64 B)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 B))) |
(/.f64 (neg.f64 (sin.f64 B)) (neg.f64 (cos.f64 B))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 B)) (cos.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)) |
(*.f64 (sin.f64 B) (/.f64 #s(literal 1 binary64) (cos.f64 B))) |
(*.f64 #s(literal 1 binary64) (tan.f64 B)) |
(*.f64 (tan.f64 B) #s(literal 1 binary64)) |
(*.f64 B (*.f64 B x)) |
(*.f64 x (*.f64 B B)) |
(*.f64 (*.f64 B B) x) |
(*.f64 (*.f64 B x) B) |
(+.f64 #s(literal 7/360 binary64) (*.f64 x #s(literal 1/45 binary64))) |
(+.f64 (*.f64 x #s(literal 1/45 binary64)) #s(literal 7/360 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)) (fma.f64 x #s(literal 1/45 binary64) #s(literal -7/360 binary64))) (/.f64 #s(literal 49/129600 binary64) (fma.f64 x #s(literal 1/45 binary64) #s(literal -7/360 binary64)))) |
(fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) |
(fma.f64 #s(literal 1/45 binary64) x #s(literal 7/360 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal 49/129600 binary64)) (*.f64 x #s(literal 7/16200 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/91125 binary64) #s(literal 343/46656000 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/45 binary64) #s(literal -7/360 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -49/129600 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/91125 binary64) #s(literal 343/46656000 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal 49/129600 binary64)) (*.f64 x #s(literal 7/16200 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/91125 binary64) #s(literal 343/46656000 binary64)) (+.f64 #s(literal 49/129600 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)) (*.f64 x #s(literal 7/16200 binary64))))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -49/129600 binary64)) (fma.f64 x #s(literal 1/45 binary64) #s(literal -7/360 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/91125 binary64) #s(literal 343/46656000 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal 49/129600 binary64)) (*.f64 x #s(literal 7/16200 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -49/129600 binary64))) (neg.f64 (fma.f64 x #s(literal 1/45 binary64) #s(literal -7/360 binary64)))) |
(/.f64 (-.f64 #s(literal 49/129600 binary64) (*.f64 (*.f64 x x) #s(literal 1/2025 binary64))) (-.f64 #s(literal 7/360 binary64) (*.f64 x #s(literal 1/45 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2025 binary64)) (fma.f64 x #s(literal 1/45 binary64) #s(literal -7/360 binary64))) (*.f64 (fma.f64 x #s(literal 1/45 binary64) #s(literal -7/360 binary64)) #s(literal 49/129600 binary64))) (*.f64 (fma.f64 x #s(literal 1/45 binary64) #s(literal -7/360 binary64)) (fma.f64 x #s(literal 1/45 binary64) #s(literal -7/360 binary64)))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal 49/129600 binary64)) (*.f64 x #s(literal 7/16200 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/91125 binary64) #s(literal 343/46656000 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x #s(literal 1/45 binary64) #s(literal -7/360 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -49/129600 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/91125 binary64) #s(literal 343/46656000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal 49/129600 binary64)) (*.f64 x #s(literal 7/16200 binary64))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2025 binary64) #s(literal -49/129600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/45 binary64) #s(literal -7/360 binary64)))) |
Compiled 17 872 to 1 374 computations (92.3% saved)
54 alts after pruning (49 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 848 | 26 | 874 |
| Fresh | 15 | 23 | 38 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 866 | 54 | 920 |
| Status | Accuracy | Program |
|---|---|---|
| 99.6% | (/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (neg.f64 x))) (tan.f64 B)) | |
| 55.3% | (/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (/.f64 #s(literal 1 binary64) (cos.f64 B))) (tan.f64 B)) | |
| ✓ | 99.7% | (/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)) (tan.f64 B)) |
| 44.6% | (/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (neg.f64 x)) (tan.f64 B)) | |
| 99.7% | (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 #s(literal 1 binary64) x))) | |
| 57.8% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (pow.f64 (sin.f64 B) #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)))) | |
| 57.8% | (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 B) #s(literal 2 binary64))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)))) | |
| 37.3% | (+.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 #s(literal 1 binary64) (sin.f64 B)))) | |
| 37.3% | (+.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))))) | |
| 99.6% | (*.f64 (/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x)) (sin.f64 B)) (cos.f64 B)) | |
| 99.6% | (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) x))) | |
| 44.6% | #s(approx (/ (/ (- (tan B) (* x (sin B))) (sin B)) (tan B)) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) | |
| 36.6% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (*.f64 (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) (*.f64 B x)) (*.f64 B B))) | |
| 10.9% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) (*.f64 (/.f64 B #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 B B))))) #s(literal 1 binary64))) (*.f64 (/.f64 B #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 B B))))) (/.f64 B x)))) | |
| 51.8% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (fma.f64 x (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))) #s(literal 1 binary64))) x) B)) | |
| 26.2% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B x) B))) x) B)) | |
| 26.8% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) B)) | |
| 25.9% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)))) B)) | |
| 25.9% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B)) | |
| 26.5% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) (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)) | |
| 25.7% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) (*.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)) (neg.f64 x))) B)) | |
| 25.7% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B)) | |
| 44.6% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x))) | |
| 51.8% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) B))) | |
| ✓ | 44.5% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))) |
| 44.5% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x))) | |
| 25.9% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 B B)))) x))) | |
| 99.7% | #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)))) | |
| 25.6% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 B (*.f64 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)) (neg.f64 x))) | |
| 25.6% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)) B)) (neg.f64 x))) | |
| 25.5% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 #s(approx (/ (cos B) (sin B)) (/.f64 #s(literal 1 binary64) B)) (neg.f64 x))) | |
| 2.9% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (*.f64 B #s(literal 1/6 binary64))))) | |
| 2.4% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (/.f64 (-.f64 (*.f64 (*.f64 B (*.f64 x #s(literal 1/3 binary64))) (*.f64 B (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 B #s(literal 1/6 binary64)) (*.f64 B #s(literal 1/6 binary64)))) (-.f64 (*.f64 B (*.f64 x #s(literal 1/3 binary64))) (*.f64 B #s(literal 1/6 binary64)))))) | |
| 2.8% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)))))) | |
| 3.1% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) (*.f64 x #s(literal 1/3 binary64)))))) | |
| 3.0% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) #s(literal 1/6 binary64))))) | |
| 2.8% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) #s(approx (* B (+ (* x 1/3) 1/6)) (*.f64 x (*.f64 B (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))))))) | |
| 3.1% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) #s(approx (* B (+ (* x 1/3) 1/6)) (*.f64 x (*.f64 B #s(literal 1/3 binary64)))))) | |
| 25.7% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) B) (/.f64 (fma.f64 (*.f64 x (*.f64 B B)) (fma.f64 (*.f64 B B) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) x) (neg.f64 B)))) | |
| 25.7% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (* (/ (cos B) (sin B)) (neg x)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/24 binary64) (*.f64 x #s(literal 23/360 binary64))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B))) | |
| 25.6% | #s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (* (/ (cos B) (sin B)) (neg x)) (/.f64 x (neg.f64 B)))) | |
| 36.0% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) B)) | |
| 49.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B)) | |
| 37.1% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 B (*.f64 B x)) (*.f64 B B))) | |
| ✓ | 51.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
| 47.2% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 #s(literal 1 binary64) x))) | |
| ✓ | 26.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) |
| 51.8% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x)))) | |
| ✓ | 55.4% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 26.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B)))) | |
| 51.9% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B))) | |
| 14.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 B B)) (fma.f64 B x B)) (*.f64 B B))) | |
| 21.7% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) B) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B x B)) (*.f64 B B))))) | |
| 26.5% | #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin 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))) |
Compiled 2 433 to 832 computations (65.8% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) #s(literal 1/6 binary64))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) #s(approx (* B (+ (* x 1/3) 1/6)) (*.f64 x (*.f64 B #s(literal 1/3 binary64)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) (*.f64 x #s(literal 1/3 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (* (/ (cos B) (sin B)) (neg x)) (/.f64 x (neg.f64 B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
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(+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 x (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (/.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (sin.f64 B) (/.f64 x (tan.f64 B))) (*.f64 (/.f64 x (tan.f64 B)) (sin.f64 B))) |
(/.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 6 binary64)) (pow.f64 (sin.f64 B) #s(literal -6 binary64))) (*.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 4 binary64)) (pow.f64 (/.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (sin.f64 B)) #s(literal 2 binary64))))) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
3 calls:
| 57.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 30.0ms | x |
| 29.0ms | 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 (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) #s(literal 1/6 binary64))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) #s(approx (* B (+ (* x 1/3) 1/6)) (*.f64 x (*.f64 B #s(literal 1/3 binary64)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) (*.f64 x #s(literal 1/3 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (* (/ (cos B) (sin B)) (neg x)) (/.f64 x (neg.f64 B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (*.f64 B #s(literal 1/6 binary64))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 #s(approx (/ (cos B) (sin B)) (/.f64 #s(literal 1 binary64) B)) (neg.f64 x))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 B (*.f64 B x)) (*.f64 B B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) #s(approx (* B (+ (* x 1/3) 1/6)) (*.f64 x (*.f64 B (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B)))) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B x) B))) 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 (*.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))) #s(approx (/ 1 (sin 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))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) (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)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 B B)))) x))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) B) (/.f64 (fma.f64 (*.f64 x (*.f64 B B)) (fma.f64 (*.f64 B B) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) x) (neg.f64 B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)) B)) (neg.f64 x))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) (*.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)) (neg.f64 x))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin 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))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (fma.f64 x (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))) #s(literal 1 binary64))) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (*.f64 (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) (*.f64 B x)) (*.f64 B 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 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 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) |
#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)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 B B)) (fma.f64 B x B)) (*.f64 B B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (* (/ (cos B) (sin B)) (neg x)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/24 binary64) (*.f64 x #s(literal 23/360 binary64))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 B (*.f64 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)) (neg.f64 x))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (fma.f64 x (fma.f64 B (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x B))) (/.f64 x (neg.f64 B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (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))) #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 (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) B) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B x B)) (*.f64 B B))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (/.f64 (-.f64 (*.f64 (*.f64 B (*.f64 x #s(literal 1/3 binary64))) (*.f64 B (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 B #s(literal 1/6 binary64)) (*.f64 B #s(literal 1/6 binary64)))) (-.f64 (*.f64 B (*.f64 x #s(literal 1/3 binary64))) (*.f64 B #s(literal 1/6 binary64)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) x)) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))) (*.f64 B (+.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) x))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) (*.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 x B) (/.f64 x B))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) (*.f64 (/.f64 B #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 B B))))) #s(literal 1 binary64))) (*.f64 (/.f64 B #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 B B))))) (/.f64 B x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (neg.f64 x)) (tan.f64 B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x))) |
(-.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))) |
(+.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 (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 #s(literal 1 binary64) B))) |
(+.f64 (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) |
#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 (cos.f64 B) (sin.f64 B)) (neg.f64 x))) |
#s(approx (/ (/ (- (tan B) (* x (sin B))) (sin B)) (tan B)) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))) |
#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 (/ (- (tan B) (* x (sin B))) (sin B)) (/.f64 #s(literal 1 binary64) (cos.f64 B))) (tan.f64 B)) |
| 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)))) |
3 calls:
| 22.0ms | x |
| 20.0ms | B |
| 20.0ms | (+.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 (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) #s(literal 1/6 binary64))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) #s(approx (* B (+ (* x 1/3) 1/6)) (*.f64 x (*.f64 B #s(literal 1/3 binary64)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) (*.f64 x #s(literal 1/3 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (* (/ (cos B) (sin B)) (neg x)) (/.f64 x (neg.f64 B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (*.f64 B #s(literal 1/6 binary64))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 #s(approx (/ (cos B) (sin B)) (/.f64 #s(literal 1 binary64) B)) (neg.f64 x))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 B (*.f64 B x)) (*.f64 B B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) #s(approx (* B (+ (* x 1/3) 1/6)) (*.f64 x (*.f64 B (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B)))) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B x) B))) 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 (*.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))) #s(approx (/ 1 (sin 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))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) (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)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 B B)))) x))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) B) (/.f64 (fma.f64 (*.f64 x (*.f64 B B)) (fma.f64 (*.f64 B B) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) x) (neg.f64 B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)) B)) (neg.f64 x))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) (*.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)) (neg.f64 x))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin 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))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (fma.f64 x (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))) #s(literal 1 binary64))) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (*.f64 (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) (*.f64 B x)) (*.f64 B 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 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 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) |
#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)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 B B)) (fma.f64 B x B)) (*.f64 B B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (* (/ (cos B) (sin B)) (neg x)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/24 binary64) (*.f64 x #s(literal 23/360 binary64))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 B (*.f64 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)) (neg.f64 x))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (fma.f64 x (fma.f64 B (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x B))) (/.f64 x (neg.f64 B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (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))) #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 (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) B) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B x B)) (*.f64 B B))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (/.f64 (-.f64 (*.f64 (*.f64 B (*.f64 x #s(literal 1/3 binary64))) (*.f64 B (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 B #s(literal 1/6 binary64)) (*.f64 B #s(literal 1/6 binary64)))) (-.f64 (*.f64 B (*.f64 x #s(literal 1/3 binary64))) (*.f64 B #s(literal 1/6 binary64)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) x)) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))) (*.f64 B (+.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) x))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) (*.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 x B) (/.f64 x B))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) (*.f64 (/.f64 B #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 B B))))) #s(literal 1 binary64))) (*.f64 (/.f64 B #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 B B))))) (/.f64 B x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (neg.f64 x)) (tan.f64 B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x))) |
(-.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))) |
(+.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 (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 #s(literal 1 binary64) B))) |
(+.f64 (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B))) |
#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 (cos.f64 B) (sin.f64 B)) (neg.f64 x))) |
#s(approx (/ (/ (- (tan B) (* x (sin B))) (sin B)) (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))) |
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (neg.f64 x)) (tan.f64 B)) |
3 calls:
| 30.0ms | B |
| 20.0ms | x |
| 19.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.3% | 1 | B |
| 99.1% | 3 | x |
| 99.1% | 3 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) #s(literal 1/6 binary64))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) #s(approx (* B (+ (* x 1/3) 1/6)) (*.f64 x (*.f64 B #s(literal 1/3 binary64)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) (*.f64 x #s(literal 1/3 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (* (/ (cos B) (sin B)) (neg x)) (/.f64 x (neg.f64 B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (*.f64 B #s(literal 1/6 binary64))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 #s(approx (/ (cos B) (sin B)) (/.f64 #s(literal 1 binary64) B)) (neg.f64 x))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 B (*.f64 B x)) (*.f64 B B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) #s(approx (* B (+ (* x 1/3) 1/6)) (*.f64 x (*.f64 B (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B)))) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B x) B))) 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 (*.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))) #s(approx (/ 1 (sin 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))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) (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)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 B B)))) x))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) B) (/.f64 (fma.f64 (*.f64 x (*.f64 B B)) (fma.f64 (*.f64 B B) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) x) (neg.f64 B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)) B)) (neg.f64 x))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) (*.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)) (neg.f64 x))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin 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))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (fma.f64 x (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))) #s(literal 1 binary64))) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (*.f64 (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) (*.f64 B x)) (*.f64 B 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 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 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) |
#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)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 B B)) (fma.f64 B x B)) (*.f64 B B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (* (/ (cos B) (sin B)) (neg x)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/24 binary64) (*.f64 x #s(literal 23/360 binary64))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 B (*.f64 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)) (neg.f64 x))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (fma.f64 x (fma.f64 B (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x B))) (/.f64 x (neg.f64 B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (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))) #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 (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) B) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B x B)) (*.f64 B B))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (/.f64 (-.f64 (*.f64 (*.f64 B (*.f64 x #s(literal 1/3 binary64))) (*.f64 B (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 B #s(literal 1/6 binary64)) (*.f64 B #s(literal 1/6 binary64)))) (-.f64 (*.f64 B (*.f64 x #s(literal 1/3 binary64))) (*.f64 B #s(literal 1/6 binary64)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) x)) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))) (*.f64 B (+.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) x))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) (*.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 x B) (/.f64 x B))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) (*.f64 (/.f64 B #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 B B))))) #s(literal 1 binary64))) (*.f64 (/.f64 B #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 B B))))) (/.f64 B x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (neg.f64 x)) (tan.f64 B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x))) |
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.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))) |
1 calls:
| 17.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) #s(literal 1/6 binary64))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) #s(approx (* B (+ (* x 1/3) 1/6)) (*.f64 x (*.f64 B #s(literal 1/3 binary64)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) (*.f64 x #s(literal 1/3 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (* (/ (cos B) (sin B)) (neg x)) (/.f64 x (neg.f64 B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (*.f64 B #s(literal 1/6 binary64))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 #s(approx (/ (cos B) (sin B)) (/.f64 #s(literal 1 binary64) B)) (neg.f64 x))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 B (*.f64 B x)) (*.f64 B B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) #s(approx (* B (+ (* x 1/3) 1/6)) (*.f64 x (*.f64 B (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B)))) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B x) B))) 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 (*.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))) #s(approx (/ 1 (sin 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))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) (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)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 B B)))) x))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) B) (/.f64 (fma.f64 (*.f64 x (*.f64 B B)) (fma.f64 (*.f64 B B) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) x) (neg.f64 B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)) B)) (neg.f64 x))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) (*.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)) (neg.f64 x))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin 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))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (fma.f64 x (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))) #s(literal 1 binary64))) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (*.f64 (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) (*.f64 B x)) (*.f64 B 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 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 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) |
#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)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 B B)) (fma.f64 B x B)) (*.f64 B B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (* (/ (cos B) (sin B)) (neg x)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/24 binary64) (*.f64 x #s(literal 23/360 binary64))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 B (*.f64 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)) (neg.f64 x))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (fma.f64 x (fma.f64 B (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x B))) (/.f64 x (neg.f64 B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (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))) #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 (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) B) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B x B)) (*.f64 B B))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (/.f64 (-.f64 (*.f64 (*.f64 B (*.f64 x #s(literal 1/3 binary64))) (*.f64 B (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 B #s(literal 1/6 binary64)) (*.f64 B #s(literal 1/6 binary64)))) (-.f64 (*.f64 B (*.f64 x #s(literal 1/3 binary64))) (*.f64 B #s(literal 1/6 binary64)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) x)) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))) (*.f64 B (+.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) x))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) (*.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 x B) (/.f64 x B))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) (*.f64 (/.f64 B #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 B B))))) #s(literal 1 binary64))) (*.f64 (/.f64 B #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 B B))))) (/.f64 B x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
(/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (neg.f64 x)) (tan.f64 B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x))) |
| Outputs |
|---|
(/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (neg.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 (/ (- (tan B) (* x (sin B))) (sin B)) (neg.f64 x)) (tan.f64 B)) |
2 calls:
| 18.0ms | x |
| 17.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.3% | 3 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 96.7% | 3 | x |
Compiled 17 to 12 computations (29.4% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) #s(literal 1/6 binary64))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) #s(approx (* B (+ (* x 1/3) 1/6)) (*.f64 x (*.f64 B #s(literal 1/3 binary64)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) (*.f64 x #s(literal 1/3 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (* (/ (cos B) (sin B)) (neg x)) (/.f64 x (neg.f64 B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (*.f64 B #s(literal 1/6 binary64))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 #s(approx (/ (cos B) (sin B)) (/.f64 #s(literal 1 binary64) B)) (neg.f64 x))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 B (*.f64 B x)) (*.f64 B B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) #s(approx (* B (+ (* x 1/3) 1/6)) (*.f64 x (*.f64 B (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B)))) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B x) B))) 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 (*.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))) #s(approx (/ 1 (sin 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))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) (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)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 B B)))) x))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) B) (/.f64 (fma.f64 (*.f64 x (*.f64 B B)) (fma.f64 (*.f64 B B) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) x) (neg.f64 B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)) B)) (neg.f64 x))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) (*.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)) (neg.f64 x))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin 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))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (fma.f64 x (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))) #s(literal 1 binary64))) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (*.f64 (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) (*.f64 B x)) (*.f64 B 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 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 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) |
#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)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 B B)) (fma.f64 B x B)) (*.f64 B B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (* (/ (cos B) (sin B)) (neg x)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/24 binary64) (*.f64 x #s(literal 23/360 binary64))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 B (*.f64 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)) (neg.f64 x))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (fma.f64 x (fma.f64 B (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x B))) (/.f64 x (neg.f64 B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (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))) #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 (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) B) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B x B)) (*.f64 B B))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (/.f64 (-.f64 (*.f64 (*.f64 B (*.f64 x #s(literal 1/3 binary64))) (*.f64 B (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 B #s(literal 1/6 binary64)) (*.f64 B #s(literal 1/6 binary64)))) (-.f64 (*.f64 B (*.f64 x #s(literal 1/3 binary64))) (*.f64 B #s(literal 1/6 binary64)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) x)) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))) (*.f64 B (+.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) x))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) (*.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 x B) (/.f64 x B))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) (*.f64 (/.f64 B #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 B B))))) #s(literal 1 binary64))) (*.f64 (/.f64 B #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 B B))))) (/.f64 B x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
3 calls:
| 25.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 17.0ms | x |
| 16.0ms | B |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.5% | 2 | B |
| 80.6% | 3 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 80.5% | 3 | x |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) #s(literal 1/6 binary64))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) #s(approx (* B (+ (* x 1/3) 1/6)) (*.f64 x (*.f64 B #s(literal 1/3 binary64)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) (*.f64 x #s(literal 1/3 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (* (/ (cos B) (sin B)) (neg x)) (/.f64 x (neg.f64 B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (*.f64 B #s(literal 1/6 binary64))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 #s(approx (/ (cos B) (sin B)) (/.f64 #s(literal 1 binary64) B)) (neg.f64 x))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 B (*.f64 B x)) (*.f64 B B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) #s(approx (* B (+ (* x 1/3) 1/6)) (*.f64 x (*.f64 B (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 B (*.f64 (*.f64 B B) #s(literal -1/6 binary64)) B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (*.f64 x (fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64)))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) B) (*.f64 B x)) (*.f64 B B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 B B)))) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 B x) B))) 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 (*.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))) #s(approx (/ 1 (sin 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))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/36 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/6 binary64)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) (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)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 B B)))) x))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) (*.f64 x (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) B) (/.f64 (fma.f64 (*.f64 x (*.f64 B B)) (fma.f64 (*.f64 B B) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) x) (neg.f64 B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)) B)) (neg.f64 x))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (+ (* (* B B) (+ (* (* B B) (+ (* x 1/45) 7/360)) (+ (* x 1/3) 1/6))) (- 1 x)) (*.f64 (fma.f64 B (*.f64 B (fma.f64 (*.f64 B B) #s(literal -1/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64)) (neg.f64 x))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(literal 1 binary64) (/.f64 B (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin 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))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (fma.f64 x (*.f64 (*.f64 B B) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))) #s(literal 1 binary64))) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (*.f64 (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) (*.f64 B x)) (*.f64 B 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 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 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) |
#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)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 B B)) (fma.f64 B x B)) (*.f64 B B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (* (/ (cos B) (sin B)) (neg x)) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal -1/24 binary64) (*.f64 x #s(literal 23/360 binary64))) (*.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 #s(approx (/ (cos B) (sin B)) (/.f64 (fma.f64 B (*.f64 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)) (neg.f64 x))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (fma.f64 x (fma.f64 B (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x B))) (/.f64 x (neg.f64 B))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (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))) #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 (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) B) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B x B)) (*.f64 B B))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (/.f64 (-.f64 (*.f64 (*.f64 B (*.f64 x #s(literal 1/3 binary64))) (*.f64 B (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 B #s(literal 1/6 binary64)) (*.f64 B #s(literal 1/6 binary64)))) (-.f64 (*.f64 B (*.f64 x #s(literal 1/3 binary64))) (*.f64 B #s(literal 1/6 binary64)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) x)) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x))) (*.f64 B (+.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) x))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (fma.f64 (*.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) (*.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 #s(literal 1 binary64) B)) (*.f64 (/.f64 x B) (/.f64 x B))) (+.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B)))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 B x)) (*.f64 (/.f64 B #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 B B))))) #s(literal 1 binary64))) (*.f64 (/.f64 B #s(approx (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 B B))))) (/.f64 B x)))) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (-.f64 (/.f64 #s(literal 1 binary64) B) (/.f64 x B))) |
3 calls:
| 29.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 16.0ms | x |
| 15.0ms | B |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.9% | 1 | x |
| 51.9% | 1 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 51.9% | 1 | B |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) #s(literal 1/6 binary64))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) #s(approx (* B (+ (* x 1/3) 1/6)) (*.f64 x (*.f64 B #s(literal 1/3 binary64)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) (*.f64 x #s(literal 1/3 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (* (/ (cos B) (sin B)) (neg x)) (/.f64 x (neg.f64 B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (fma.f64 (*.f64 B x) #s(literal 1/3 binary64) (*.f64 B #s(literal 1/6 binary64))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (*.f64 #s(approx (/ (cos B) (sin B)) (/.f64 #s(literal 1 binary64) B)) (neg.f64 x))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64))) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 #s(approx (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64))) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 B (*.f64 B x)) (*.f64 B B))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) #s(approx (* B (+ (* x 1/3) 1/6)) (*.f64 x (*.f64 B (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) x))))))) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
3 calls:
| 14.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 5.0ms | x |
| 5.0ms | B |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.9% | 1 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 51.9% | 1 | x |
| 51.9% | 1 | B |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) #s(literal 1/6 binary64))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) #s(approx (* B (+ (* x 1/3) 1/6)) (*.f64 x (*.f64 B #s(literal 1/3 binary64)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) (*.f64 x #s(literal 1/3 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (* (/ (cos B) (sin B)) (neg x)) (/.f64 x (neg.f64 B)))) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B)) |
3 calls:
| 3.0ms | x |
| 3.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 3.0ms | B |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.3% | 3 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 49.5% | 3 | x |
| 32.7% | 4 | B |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) #s(literal 1/6 binary64))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) #s(approx (* B (+ (* x 1/3) 1/6)) (*.f64 x (*.f64 B #s(literal 1/3 binary64)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) (*.f64 x #s(literal 1/3 binary64)))))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))))) |
| Outputs |
|---|
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) |
3 calls:
| 30.0ms | B |
| 2.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 26.9% | 1 | B |
| 26.9% | 1 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 26.9% | 1 | x |
Compiled 20 to 14 computations (30% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) #s(literal 1/6 binary64))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) #s(approx (* B (+ (* x 1/3) 1/6)) (*.f64 x (*.f64 B #s(literal 1/3 binary64)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) (*.f64 x #s(literal 1/3 binary64)))))) |
| Outputs |
|---|
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) #s(approx (* B (+ (* x 1/3) 1/6)) (*.f64 x (*.f64 B #s(literal 1/3 binary64)))))) |
3 calls:
| 2.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 2.0ms | x |
| 2.0ms | B |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.1% | 1 | x |
| 3.1% | 1 | B |
| 3.1% | 1 | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
Compiled 20 to 14 computations (30% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) #s(literal 1/6 binary64))))) |
| Outputs |
|---|
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) #s(literal 1/6 binary64))))) |
3 calls:
| 1.0ms | x |
| 1.0ms | (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) |
| 1.0ms | B |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.0% | 1 | x |
| 3.0% | 1 | B |
| 3.0% | 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)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 12999458278.190498 | 97264109226308140.0 |
| 4.0ms | -2552.6239900239584 | -2172.933405921891 |
| 18.0ms | 176× | 0 | valid |
Compiled 265 to 184 computations (30.6% saved)
ival-sin: 5.0ms (37% of total)ival-tan: 4.0ms (29.6% of total)ival-div: 2.0ms (14.8% of total)ival-add: 1.0ms (7.4% of total)ival-mult: 1.0ms (7.4% of total)ival-neg: 1.0ms (7.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 5.3779867488219575e-14 | 3.995577609694086e-8 |
| 17.0ms | -0.000996570552122858 | -3.2879914152825833e-7 |
| 32.0ms | 272× | 0 | valid |
Compiled 357 to 253 computations (29.1% saved)
ival-sin: 6.0ms (23.5% of total)ival-tan: 6.0ms (23.5% of total)ival-mult: 5.0ms (19.6% of total)ival-div: 4.0ms (15.7% of total)ival-add: 3.0ms (11.7% of total)ival-neg: 1.0ms (3.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 0.00047679026100504347 | 48853.44646627718 |
| 20.0ms | -403.267647300766 | -0.14910094932359033 |
| 30.0ms | 272× | 0 | valid |
Compiled 306 to 219 computations (28.4% saved)
ival-tan: 9.0ms (38.5% of total)ival-sin: 6.0ms (25.7% of total)ival-div: 4.0ms (17.1% of total)ival-mult: 2.0ms (8.6% of total)ival-add: 1.0ms (4.3% of total)ival-neg: 1.0ms (4.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 31.0ms | 5.798764813917654 | 419702.63599521434 |
| 23.0ms | 144× | 0 | valid |
Compiled 386 to 249 computations (35.5% saved)
ival-sin: 5.0ms (36.4% of total)ival-tan: 5.0ms (36.4% of total)ival-div: 2.0ms (14.5% of total)ival-add: 1.0ms (7.3% of total)ival-mult: 1.0ms (7.3% of total)ival-neg: 1.0ms (7.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.00047679026100504347 | 48853.44646627718 |
| 13.0ms | -403.267647300766 | -0.14910094932359033 |
| 9.0ms | 96× | 0 | valid |
Compiled 306 to 185 computations (39.5% saved)
ival-sin: 2.0ms (28.9% of total)ival-tan: 2.0ms (28.9% of total)ival-div: 1.0ms (14.4% of total)ival-mult: 1.0ms (14.4% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 1× | egg-herbie |
| 24× | +-commutative_binary64 |
| 22× | *-commutative_binary64 |
| 22× | sub-neg_binary64 |
| 12× | neg-sub0_binary64 |
| 12× | neg-mul-1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 455 |
| 1 | 126 | 454 |
| 2 | 146 | 454 |
| 3 | 156 | 454 |
| 4 | 162 | 454 |
| 5 | 164 | 454 |
| 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 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64)))) |
(if (<=.f64 x #s(literal -2200 binary64)) (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))) (if (<=.f64 x #s(literal 13000000000 binary64)) (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (neg.f64 x)) (tan.f64 B)))) |
(if (<=.f64 x #s(literal -6375194751874021/4722366482869645213696 binary64)) (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))) (if (<=.f64 x #s(literal 3475661731392059/151115727451828646838272 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 x #s(literal -5944751508129055/4503599627370496 binary64)) (/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (neg.f64 x)) (tan.f64 B)) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (neg.f64 x)) (tan.f64 B)))) |
(if (<=.f64 B #s(literal 6530219459687219/1125899906842624 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B)) #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) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B)) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) #s(approx (* B (+ (* x 1/3) 1/6)) (*.f64 x (*.f64 B #s(literal 1/3 binary64)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) #s(literal 1/6 binary64))))) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) |
#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)))) |
(if (<=.f64 x #s(literal -2200 binary64)) (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))) (if (<=.f64 x #s(literal 13000000000 binary64)) (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (neg.f64 x)) (tan.f64 B)))) |
(if (<=.f64 x #s(literal -2200 binary64)) (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))) (if (<=.f64 x #s(literal 13000000000 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (neg.f64 x)) (tan.f64 B)))) |
(if (<=.f64 x #s(literal -6375194751874021/4722366482869645213696 binary64)) (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))) (if (<=.f64 x #s(literal 3475661731392059/151115727451828646838272 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 x #s(literal -5944751508129055/4503599627370496 binary64)) (/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (neg.f64 x)) (tan.f64 B)) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (/.f64 #s(approx (/ (- (tan B) (* x (sin B))) (sin B)) (neg.f64 x)) (tan.f64 B)))) |
(if (<=.f64 B #s(literal 6530219459687219/1125899906842624 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/45 binary64) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B)) #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) B) (/.f64 x B))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) |
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B)) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B)))) |
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) #s(approx (* B (+ (* x 1/3) 1/6)) (*.f64 x (*.f64 B #s(literal 1/3 binary64)))))) |
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) #s(approx (/ (- (+ (* (* B B) (+ (* x 1/3) 1/6)) 1) x) B) (*.f64 B #s(approx (+ (* x 1/3) 1/6) #s(literal 1/6 binary64))))) |
| 24 678× | lower-fma.f64 |
| 24 678× | lower-fma.f32 |
| 13 460× | lower-fma.f64 |
| 13 460× | lower-fma.f32 |
| 11 176× | lower-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 245 | 2994 |
| 1 | 704 | 2975 |
| 2 | 2147 | 2915 |
| 3 | 5643 | 2845 |
| 0 | 8177 | 2632 |
| 0 | 437 | 5883 |
| 1 | 1355 | 5755 |
| 2 | 4571 | 5565 |
| 0 | 8164 | 5160 |
| 0 | 151 | 999 |
| 1 | 427 | 992 |
| 2 | 1395 | 968 |
| 3 | 5496 | 959 |
| 0 | 8166 | 920 |
| 0 | 407 | 4972 |
| 1 | 1240 | 4891 |
| 2 | 3896 | 4724 |
| 0 | 8091 | 4433 |
| 0 | 35 | 140 |
| 0 | 54 | 112 |
| 1 | 243 | 96 |
| 0 | 2356 | 96 |
| 0 | 10 | 35 |
| 0 | 17 | 28 |
| 1 | 59 | 27 |
| 2 | 376 | 27 |
| 3 | 4328 | 27 |
| 0 | 8975 | 27 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 394 to 192 computations (51.3% saved)
(negabs B)
Compiled 464 to 166 computations (64.2% saved)
Loading profile data...