
Time bar (total: 8.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 0 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 1 |
| 50% | 0% | 0% | 100% | 0% | 0% | 0% | 2 |
| 50% | 0% | 0% | 100% | 0% | 0% | 0% | 3 |
| 75% | 0% | 0% | 100% | 0% | 0% | 0% | 4 |
| 75% | 0% | 0% | 100% | 0% | 0% | 0% | 5 |
| 87.5% | 0% | 0% | 100% | 0% | 0% | 0% | 6 |
| 87.5% | 0% | 0% | 100% | 0% | 0% | 0% | 7 |
| 93.7% | 0% | 0% | 100% | 0% | 0% | 0% | 8 |
| 93.7% | 0% | 0% | 100% | 0% | 0% | 0% | 9 |
| 96.9% | 0% | 0% | 100% | 0% | 0% | 0% | 10 |
| 96.9% | 0% | 0% | 100% | 0% | 0% | 0% | 11 |
| 98.4% | 0% | 0% | 100% | 0% | 0% | 0% | 12 |
Compiled 37 to 21 computations (43.2% saved)
| 1.2s | 8 256× | 0 | valid |
ival-sinu: 185.0ms (19% of total)ival-mult: 183.0ms (18.8% of total)const: 157.0ms (16.1% of total)ival-sin: 155.0ms (15.9% of total)ival-div: 136.0ms (14% of total)ival-<=: 83.0ms (8.5% of total)ival-pi: 37.0ms (3.8% of total)ival-and: 23.0ms (2.4% of total)exact: 8.0ms (0.8% of total)adjust: 3.0ms (0.3% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 2 | 0 | - | 1 | (0.9845491051673889 2.6406705379486084) | (sin.f32 (*.f32 x (PI.f32))) |
| 1 | 0 | - | 0 | - | (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) |
| 0 | 0 | - | 0 | - | (PI.f32) |
| 0 | 0 | - | 0 | - | (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
| 0 | 0 | - | 0 | - | (*.f32 (*.f32 x (PI.f32)) tau) |
| 0 | 0 | - | 0 | - | (*.f32 x (PI.f32)) |
| 0 | 0 | - | 0 | - | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
| 0 | 0 | - | 0 | - | tau |
| 0 | 0 | - | 0 | - | (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sin.f32 | (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) | cancellation | 1 | 0 |
sin.f32 | (sin.f32 (*.f32 x (PI.f32))) | cancellation | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 2 | 2 |
| - | 0 | 252 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 2 | 0 | 2 |
| - | 0 | 0 | 252 |
| number | freq |
|---|---|
| 0 | 254 |
| 1 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 49.0ms | 512× | 0 | valid |
Compiled 149 to 34 computations (77.2% saved)
ival-mult: 11.0ms (31.8% of total)ival-sinu: 8.0ms (23.1% of total)ival-sin: 7.0ms (20.2% of total)ival-div: 6.0ms (17.3% of total)ival-pi: 2.0ms (5.8% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 123 |
| 1 | 78 | 123 |
| 2 | 362 | 107 |
| 3 | 1859 | 107 |
| 4 | 4136 | 107 |
| 5 | 6121 | 107 |
| 6 | 7082 | 107 |
| 0 | 10 | 21 |
| 0 | 18 | 21 |
| 1 | 31 | 21 |
| 2 | 88 | 21 |
| 3 | 295 | 21 |
| 4 | 692 | 21 |
| 5 | 1137 | 21 |
| 6 | 1748 | 21 |
| 7 | 3844 | 21 |
| 8 | 7458 | 21 |
| 9 | 7574 | 21 |
| 10 | 7771 | 21 |
| 0 | 8011 | 21 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
| Outputs |
|---|
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x))) |
(abs tau)
(abs x)
Compiled 21 to 10 computations (52.4% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.1% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
Compiled 21 to 10 computations (52.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f32 (*.f32 x (PI.f32)) tau) | |
| cost-diff | 0 | (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) | |
| cost-diff | 0 | (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) | |
| cost-diff | 0 | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 62 |
| 0 | 18 | 62 |
| 1 | 31 | 62 |
| 2 | 88 | 62 |
| 3 | 295 | 62 |
| 4 | 692 | 62 |
| 5 | 1137 | 62 |
| 6 | 1748 | 62 |
| 7 | 3844 | 62 |
| 8 | 7458 | 62 |
| 9 | 7574 | 62 |
| 10 | 7771 | 62 |
| 0 | 8011 | 62 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) |
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) |
(*.f32 (*.f32 x (PI.f32)) tau) |
(*.f32 x (PI.f32)) |
x |
(PI.f32) |
tau |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(sin.f32 (*.f32 x (PI.f32))) |
| Outputs |
|---|
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x))) |
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) |
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) |
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) |
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) |
(*.f32 (*.f32 x (PI.f32)) tau) |
(*.f32 tau (*.f32 (PI.f32) x)) |
(*.f32 x (PI.f32)) |
(*.f32 (PI.f32) x) |
x |
(PI.f32) |
tau |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) |
(sin.f32 (*.f32 x (PI.f32))) |
(sin.f32 (*.f32 (PI.f32) x)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2730649789908912 | (sin.f32 (*.f32 x (PI.f32))) | |
| accuracy | 0.35384750976844204 | (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) | |
| accuracy | 0.3671875 | (*.f32 x (PI.f32)) | |
| accuracy | 0.4010925781475362 | (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
| 23.0ms | 256× | 0 | valid |
Compiled 64 to 12 computations (81.3% saved)
ival-mult: 4.0ms (25% of total)ival-sinu: 4.0ms (25% of total)ival-div: 3.0ms (18.7% of total)ival-sin: 3.0ms (18.7% of total)ival-pi: 1.0ms (6.2% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) |
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) |
(*.f32 (*.f32 x (PI.f32)) tau) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(*.f32 x (PI.f32)) |
(sin.f32 (*.f32 x (PI.f32))) |
| Outputs |
|---|
1 |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6)))))))))))))) |
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4))))))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4)))))))) |
(* tau (* x (PI))) |
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI)))) |
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5)))))))) |
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5))))))))) |
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4))))))) |
(* x (PI)) |
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))) |
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5))))))) |
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5)))))))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(/ (sin (* x (PI))) (* x (PI))) |
(sin (* x (PI))) |
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI)))) |
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI)))) |
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI)))) |
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))) |
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))))) |
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))) |
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))))))) |
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5))))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | tau | @ | -inf | ((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)) (sin (* x (PI)))) |
| 5.0ms | x | @ | -inf | ((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)) (sin (* x (PI)))) |
| 4.0ms | x | @ | inf | ((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)) (sin (* x (PI)))) |
| 4.0ms | x | @ | 0 | ((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)) (sin (* x (PI)))) |
| 4.0ms | tau | @ | inf | ((* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (/ (sin (* x (PI))) (* x (PI))) (* x (PI)) (sin (* x (PI)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 213 | 816 |
| 1 | 797 | 792 |
| 2 | 3818 | 766 |
| 0 | 8021 | 709 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6)))))))))))))) |
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4))))))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4)))))))) |
(* tau (* x (PI))) |
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI)))) |
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5)))))))) |
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5))))))))) |
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4))))))) |
(* x (PI)) |
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))) |
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5))))))) |
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5)))))))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(/ (sin (* x (PI))) (* x (PI))) |
(sin (* x (PI))) |
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI)))) |
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI)))) |
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI)))) |
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))) |
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))))) |
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))) |
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))))))) |
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5))))))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary32) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))) |
(fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))))) |
(fma.f32 (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal 1/36 binary32) tau) tau (fma.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1/120 binary32) #s(literal 1/120 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6)))))))))))))) |
(fma.f32 (fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal 1/36 binary32) tau) tau (fma.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1/120 binary32) #s(literal 1/120 binary32))) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/720 binary32) (fma.f32 tau tau (pow.f32 tau #s(literal 4 binary32))) (fma.f32 (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32) #s(literal -1/5040 binary32)))) (*.f32 x x))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)) |
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))) |
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (pow.f32 tau #s(literal 4 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (*.f32 x x) #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4)))))))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) (*.f32 (fma.f32 (*.f32 (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) x) x) (*.f32 (*.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)) |
(* tau (* x (PI))) |
(*.f32 (*.f32 (PI.f32) x) tau) |
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI)))) |
(fma.f32 (*.f32 tau x) (PI.f32) (*.f32 (*.f32 (pow.f32 tau #s(literal 3 binary32)) #s(literal -1/6 binary32)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)))) |
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5)))))))) |
(fma.f32 (*.f32 tau x) (PI.f32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 (pow.f32 tau #s(literal 5 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) x) x) (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32))))) |
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5))))))))) |
(fma.f32 (*.f32 tau x) (PI.f32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 (*.f32 (pow.f32 tau #s(literal 5 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (*.f32 (pow.f32 tau #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) x) x))) (*.f32 x x) (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32))))) |
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) |
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32)) x) x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)) |
(* x (PI)) |
(*.f32 (PI.f32) x) |
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))) |
(fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32) (*.f32 (PI.f32) x)) |
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5))))))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32)) x) x (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 (PI.f32) x)) |
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5)))))))) |
(fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32) (*.f32 (fma.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (PI.f32)) x)) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) |
(sin (* tau (* x (PI)))) |
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) |
(/ (sin (* x (PI))) (* x (PI))) |
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) |
(sin (* x (PI))) |
(sin.f32 (*.f32 (PI.f32) x)) |
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI)))) |
(fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) |
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI)))) |
(fma.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (*.f32 #s(literal -1/6 binary32) x) (PI.f32)))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) |
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI)))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) (sin.f32 (*.f32 (PI.f32) x))) (PI.f32) (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) |
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (PI.f32)) (PI.f32) (*.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) tau) tau))) (*.f32 tau tau) #s(literal 1 binary32)) |
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (PI.f32)) (PI.f32) (*.f32 (fma.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (*.f32 tau tau))) (*.f32 tau tau) #s(literal 1 binary32)) |
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))) |
(*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32)) tau) tau (*.f32 (PI.f32) x)) tau) |
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 tau #s(literal 3 binary32)) (*.f32 (*.f32 (PI.f32) x) tau)) |
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5))))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 x #s(literal 5 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))))) (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 tau #s(literal 3 binary32)) (*.f32 (*.f32 (PI.f32) x) tau)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 59 |
| 0 | 18 | 59 |
| 1 | 54 | 59 |
| 2 | 349 | 57 |
| 3 | 3602 | 57 |
| 0 | 9348 | 57 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) |
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) |
(*.f32 (*.f32 x (PI.f32)) tau) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(*.f32 x (PI.f32)) |
(sin.f32 (*.f32 x (PI.f32))) |
| Outputs |
|---|
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))) tau) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (neg.f32 x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (PI.f32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (sqrt.f32 (PI.f32)) tau))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (*.f32 (cbrt.f32 (PI.f32)) tau))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) tau) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (PI.f32))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (neg.f32 x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 tau)) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 tau))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) tau)) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (PI.f32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (sqrt.f32 (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (sqrt.f32 (PI.f32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (cbrt.f32 (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (PI.f32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau x))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (neg.f32 (sqrt.f32 (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (sqrt.f32 (PI.f32)) x))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (sqrt.f32 (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (sqrt.f32 (PI.f32)) x))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (cbrt.f32 (PI.f32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (cbrt.f32 (PI.f32)) x))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) (cbrt.f32 (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) x))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau x)) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (PI.f32))) |
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32))) |
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) x)) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) x)) |
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(cos.f32 (+.f32 (+.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32)) (PI.f32))) |
(cos.f32 (+.f32 (fma.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32))) |
(cos.f32 (neg.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32))))) |
(cos.f32 (+.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32))) |
(cos.f32 (fma.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32)))) |
(cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32)))) |
(neg.f32 (sin.f32 (*.f32 (PI.f32) x))) |
Compiled 17 471 to 2 166 computations (87.6% saved)
30 alts after pruning (29 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 617 | 29 | 646 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 617 | 30 | 647 |
| Status | Accuracy | Program |
|---|---|---|
| 97.4% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) tau)) (*.f32 x (*.f32 (PI.f32) x))) | |
| 97.7% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x)) | |
| 97.7% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) (PI.f32))) | |
| ▶ | 98.1% | (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x)) |
| 97.3% | (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (PI.f32)))) | |
| 97.3% | (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) | |
| 78.5% | (*.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) | |
| 75.6% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (+.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32))) (*.f32 x (PI.f32)))) | |
| ✓ | 98.1% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
| 79.2% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (neg.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 x (PI.f32)))) | |
| 77.5% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (neg.f32 (+.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 (PI.f32) #s(literal -2 binary32))))) (*.f32 x (PI.f32)))) | |
| ▶ | 80.8% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 x (PI.f32)))) |
| 75.7% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (+.f32 (fma.f32 (+.f32 x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32))) (*.f32 x (PI.f32)))) | |
| 76.6% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (+.f32 (+.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32)) (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 x (PI.f32)))) | |
| 94.4% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))) | |
| 86.4% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) | |
| 97.4% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) | |
| 96.0% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (PI.f32)) x))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) | |
| 96.9% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (*.f32 (sqrt.f32 (PI.f32)) x)) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) | |
| 97.5% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) | |
| 97.4% | (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32))) | |
| ▶ | 97.8% | (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) |
| ▶ | 81.5% | (*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
| 83.1% | (*.f32 (/.f32 (cos.f32 (fma.f32 (*.f32 tau (PI.f32)) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) | |
| 65.2% | (*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) | |
| 81.4% | (*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) | |
| 80.4% | #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) | |
| 81.4% | #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) | |
| 96.9% | #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) | |
| ▶ | 64.4% | #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32)) |
Compiled 1 581 to 860 computations (45.6% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) | |
| cost-diff | 0 | (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) | |
| cost-diff | 0 | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 x (PI.f32)))) | |
| cost-diff | 3 | (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32)))) | |
| cost-diff | 0 | (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) | |
| cost-diff | 0 | (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) | |
| cost-diff | 0 | (*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) | |
| cost-diff | 2 | (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) | |
| cost-diff | 0 | (*.f32 (PI.f32) x) | |
| cost-diff | 0 | (sin.f32 (*.f32 (PI.f32) x)) | |
| cost-diff | 0 | (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) | |
| cost-diff | 0 | (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) | |
| cost-diff | 0 | #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32)) | |
| cost-diff | 0 | (*.f32 (PI.f32) x) | |
| cost-diff | 0 | (sin.f32 (*.f32 (PI.f32) x)) | |
| cost-diff | 0 | (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) | |
| cost-diff | 0 | (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 322 |
| 0 | 73 | 307 |
| 1 | 173 | 307 |
| 2 | 516 | 307 |
| 3 | 1544 | 307 |
| 4 | 3275 | 307 |
| 5 | 6666 | 307 |
| 0 | 8067 | 307 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x)) |
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) |
(sin.f32 (*.f32 (PI.f32) x)) |
(*.f32 (PI.f32) x) |
(PI.f32) |
x |
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) |
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) |
(*.f32 tau (*.f32 (PI.f32) x)) |
tau |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) |
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) |
(sin.f32 (*.f32 (PI.f32) x)) |
(*.f32 (PI.f32) x) |
(PI.f32) |
x |
(*.f32 tau (*.f32 (PI.f32) x)) |
tau |
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) |
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) |
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) |
(sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) |
(neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) |
(fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)) |
(*.f32 tau x) |
tau |
x |
(PI.f32) |
(*.f32 (*.f32 x (PI.f32)) tau) |
(*.f32 x (PI.f32)) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(sin.f32 (*.f32 x (PI.f32))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 x (PI.f32)))) |
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) |
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) |
(*.f32 (*.f32 x (PI.f32)) tau) |
(*.f32 x (PI.f32)) |
x |
(PI.f32) |
tau |
(/.f32 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 x (PI.f32))) |
(cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32)))) |
(fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32))) |
(/.f32 (PI.f32) #s(literal -2 binary32)) |
#s(literal -2 binary32) |
| Outputs |
|---|
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x)) |
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x x))) |
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (sin.f32 (*.f32 x (PI.f32)))) |
(sin.f32 (*.f32 (PI.f32) x)) |
(sin.f32 (*.f32 x (PI.f32))) |
(*.f32 (PI.f32) x) |
(*.f32 x (PI.f32)) |
(PI.f32) |
x |
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) |
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) |
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) |
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) |
(*.f32 tau (*.f32 (PI.f32) x)) |
(*.f32 (*.f32 x (PI.f32)) tau) |
tau |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) |
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x x))) |
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) |
(sin.f32 (*.f32 (PI.f32) x)) |
(sin.f32 (*.f32 x (PI.f32))) |
(*.f32 (PI.f32) x) |
(*.f32 x (PI.f32)) |
(PI.f32) |
x |
(*.f32 tau (*.f32 (PI.f32) x)) |
(*.f32 (*.f32 x (PI.f32)) tau) |
tau |
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) |
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (PI.f32))) |
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) |
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) |
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x x))) |
(/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) |
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) |
(sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) |
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) |
(neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) |
(*.f32 (-.f32 #s(literal -1 binary32) (*.f32 tau x)) (PI.f32)) |
(fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)) |
(*.f32 tau x) |
tau |
x |
(PI.f32) |
(*.f32 (*.f32 x (PI.f32)) tau) |
(*.f32 x (PI.f32)) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(sin.f32 (*.f32 x (PI.f32))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x x))) |
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) |
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) |
(*.f32 (*.f32 x (PI.f32)) tau) |
(*.f32 x (PI.f32)) |
x |
(PI.f32) |
tau |
(/.f32 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 x (PI.f32))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32)))) |
(sin.f32 (*.f32 x (PI.f32))) |
(fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32))) |
(fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32))) |
(/.f32 (PI.f32) #s(literal -2 binary32)) |
#s(literal -2 binary32) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.35384750976844204 | (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) | |
| accuracy | 0.3671875 | (*.f32 x (PI.f32)) | |
| accuracy | 0.4010925781475362 | (/.f32 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 x (PI.f32))) | |
| accuracy | 5.366016890560749 | (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32)))) | |
| accuracy | 0.3671875 | (*.f32 x (PI.f32)) | |
| accuracy | 0.375 | (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)) | |
| accuracy | 0.4010925781475362 | (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) | |
| accuracy | 5.349238096893864 | (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) | |
| accuracy | 0.31154252930532605 | (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) | |
| accuracy | 0.35546875 | (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) | |
| accuracy | 0.3671875 | (*.f32 (PI.f32) x) | |
| accuracy | 0.40529252930532605 | (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) | |
| accuracy | 11.405304241054724 | #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32)) | |
| accuracy | 0.2730649789908912 | (sin.f32 (*.f32 (PI.f32) x)) | |
| accuracy | 0.35384750976844204 | (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) | |
| accuracy | 0.366230029305326 | (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x)) | |
| accuracy | 0.3671875 | (*.f32 (PI.f32) x) |
| 74.0ms | 256× | 0 | valid |
Compiled 331 to 35 computations (89.4% saved)
ival-mult: 15.0ms (25.6% of total)ival-sin: 14.0ms (23.9% of total)ival-div: 12.0ms (20.5% of total)ival-cos: 7.0ms (11.9% of total)ival-sinu: 4.0ms (6.8% of total)ival-add: 2.0ms (3.4% of total)ival-pi: 1.0ms (1.7% of total)ival-neg: 1.0ms (1.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x)) |
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) |
(sin.f32 (*.f32 (PI.f32) x)) |
(*.f32 (PI.f32) x) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32)) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) |
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) |
(sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) |
(neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) |
(cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 x (PI.f32)))) |
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) |
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) |
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) |
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)) |
(*.f32 x (PI.f32)) |
(/.f32 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 x (PI.f32))) |
| Outputs |
|---|
1 |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6)))))))))))))) |
(* x (PI)) |
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3)))))) |
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5))))))))))) |
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7))))))))))))))) |
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))) |
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5))))))) |
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5)))))))) |
(/ 1 tau) |
(+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau)) |
(+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau)) |
(+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau)) |
(sin (neg (PI))) |
(+ (sin (neg (PI))) (* -1 (* tau (* x (* (PI) (cos (neg (PI)))))))) |
(+ (sin (neg (PI))) (* x (+ (* -1 (* tau (* (PI) (cos (neg (PI)))))) (* -1/2 (* (pow tau 2) (* x (* (pow (PI) 2) (sin (neg (PI)))))))))) |
(+ (sin (neg (PI))) (* x (+ (* -1 (* tau (* (PI) (cos (neg (PI)))))) (* x (+ (* -1/2 (* (pow tau 2) (* (pow (PI) 2) (sin (neg (PI)))))) (* 1/6 (* (pow tau 3) (* x (* (pow (PI) 3) (cos (neg (PI)))))))))))) |
(/ (sin (neg (PI))) (* tau (* x (PI)))) |
(/ (+ (* -1 (* x (cos (neg (PI))))) (/ (sin (neg (PI))) (* tau (PI)))) x) |
(/ (+ (* x (+ (* -1 (cos (neg (PI)))) (* x (+ (* -1/2 (* tau (* (PI) (sin (neg (PI)))))) (* -1/6 (/ (* (PI) (sin (neg (PI)))) tau)))))) (/ (sin (neg (PI))) (* tau (PI)))) x) |
(/ (+ (* x (+ (* -1 (cos (neg (PI)))) (* x (+ (* -1/2 (* tau (* (PI) (sin (neg (PI)))))) (+ (* -1/6 (/ (* (PI) (sin (neg (PI)))) tau)) (* x (+ (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (neg (PI)))))) (* 1/6 (* (pow (PI) 2) (cos (neg (PI)))))))))))) (/ (sin (neg (PI))) (* tau (PI)))) x) |
(/ (+ (* x (+ (* -1 (cos (neg (PI)))) (* -1/2 (* tau (* x (* (PI) (sin (neg (PI))))))))) (/ (sin (neg (PI))) (* tau (PI)))) x) |
(/ (+ (* x (+ (* -1 (cos (neg (PI)))) (* x (+ (* -1/2 (* tau (* (PI) (sin (neg (PI)))))) (* 1/6 (* (pow tau 2) (* x (* (pow (PI) 2) (cos (neg (PI))))))))))) (/ (sin (neg (PI))) (* tau (PI)))) x) |
(* -1 (PI)) |
(- (* -1 (* tau (* x (PI)))) (PI)) |
(cos (* -1/2 (PI))) |
(+ (cos (* -1/2 (PI))) (* -1 (* x (* (PI) (sin (* -1/2 (PI))))))) |
(+ (cos (* -1/2 (PI))) (* x (- (* -1/2 (* x (* (pow (PI) 2) (cos (* -1/2 (PI)))))) (* (PI) (sin (* -1/2 (PI))))))) |
(+ (cos (* -1/2 (PI))) (* x (- (* x (+ (* -1/2 (* (pow (PI) 2) (cos (* -1/2 (PI))))) (* 1/6 (* x (* (pow (PI) 3) (sin (* -1/2 (PI)))))))) (* (PI) (sin (* -1/2 (PI))))))) |
(/ (cos (* -1/2 (PI))) (* x (PI))) |
(/ (+ (* -1 (* x (sin (* -1/2 (PI))))) (/ (cos (* -1/2 (PI))) (PI))) x) |
(/ (+ (* x (+ (* -1 (sin (* -1/2 (PI)))) (* x (+ (* -1/2 (* (PI) (cos (* -1/2 (PI))))) (* -1/6 (* (pow tau 2) (* (PI) (cos (* -1/2 (PI)))))))))) (/ (cos (* -1/2 (PI))) (PI))) x) |
(/ (+ (* x (+ (* -1 (sin (* -1/2 (PI)))) (* x (+ (* -1/2 (* (PI) (cos (* -1/2 (PI))))) (+ (* -1/6 (* (pow tau 2) (* (PI) (cos (* -1/2 (PI)))))) (* x (+ (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (sin (* -1/2 (PI)))))) (* 1/6 (* (pow (PI) 2) (sin (* -1/2 (PI)))))))))))) (/ (cos (* -1/2 (PI))) (PI))) x) |
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4))))))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4)))))))) |
(* tau (* x (PI))) |
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI)))) |
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5)))))))) |
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5))))))))) |
tau |
(+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))) |
(+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4))))))) |
(+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 5) (pow (PI) 4)))))))) |
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4))))))) |
(PI) |
(+ (PI) (* tau (* x (PI)))) |
(/ (+ (* x (+ (* -1 (sin (* -1/2 (PI)))) (* -1/2 (* x (* (PI) (cos (* -1/2 (PI)))))))) (/ (cos (* -1/2 (PI))) (PI))) x) |
(/ (+ (* x (+ (* -1 (sin (* -1/2 (PI)))) (* x (+ (* -1/2 (* (PI) (cos (* -1/2 (PI))))) (* 1/6 (* x (* (pow (PI) 2) (sin (* -1/2 (PI)))))))))) (/ (cos (* -1/2 (PI))) (PI))) x) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) |
(sin (* x (PI))) |
(/ (sin (* x (PI))) (* tau (* x (PI)))) |
(sin (neg (+ (PI) (* tau (* x (PI)))))) |
(/ (* (sin (neg (+ (PI) (* tau (* x (PI)))))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (sin (neg (+ (PI) (* tau (* x (PI)))))) (* tau (* x (PI)))) |
(* -1 (* tau (* x (PI)))) |
(* x (- (* -1 (/ (PI) x)) (* tau (PI)))) |
(cos (+ (* -1/2 (PI)) (* x (PI)))) |
(/ (* (cos (+ (* -1/2 (PI)) (* x (PI)))) (sin (* tau (* x (PI))))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(/ (sin (* tau (* x (PI)))) (* x (PI))) |
(/ (sin (* x (PI))) (* x (PI))) |
(* x (+ (* tau (PI)) (/ (PI) x))) |
(/ (cos (+ (* -1/2 (PI)) (* x (PI)))) (* x (PI))) |
(* -1 (* x (- (/ (PI) x) (* -1 (* tau (PI)))))) |
(* -1 (* x (+ (* -1 (* tau (PI))) (* -1 (/ (PI) x))))) |
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI)))) |
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI)))) |
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI)))) |
(+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))) |
(+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))) |
(+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))) |
(+ (sin (neg (PI))) (* tau (+ (* -1 (* x (* (PI) (cos (neg (PI)))))) (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (sin (neg (PI)))))))))) |
(+ (sin (neg (PI))) (* tau (+ (* -1 (* x (* (PI) (cos (neg (PI)))))) (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (sin (neg (PI)))))) (* 1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (cos (neg (PI)))))))))))) |
(/ (* (sin (neg (PI))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (+ (* -1 (/ (* tau (* (cos (neg (PI))) (sin (* x (PI))))) (* x (PI)))) (/ (* (sin (neg (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau) |
(/ (+ (* tau (+ (* -1 (/ (* (cos (neg (PI))) (sin (* x (PI)))) (* x (PI)))) (* -1/2 (* tau (* (sin (neg (PI))) (sin (* x (PI)))))))) (/ (* (sin (neg (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau) |
(/ (+ (* tau (+ (* -1 (/ (* (cos (neg (PI))) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* -1/2 (* (sin (neg (PI))) (sin (* x (PI))))) (* 1/6 (* tau (* x (* (PI) (* (cos (neg (PI))) (sin (* x (PI)))))))))))) (/ (* (sin (neg (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau) |
(/ (+ (* -1 (* tau (cos (neg (PI))))) (/ (sin (neg (PI))) (* x (PI)))) tau) |
(/ (+ (* tau (+ (* -1 (cos (neg (PI)))) (* -1/2 (* tau (* x (* (PI) (sin (neg (PI))))))))) (/ (sin (neg (PI))) (* x (PI)))) tau) |
(/ (+ (* tau (+ (* -1 (cos (neg (PI)))) (* tau (+ (* -1/2 (* x (* (PI) (sin (neg (PI)))))) (* 1/6 (* tau (* (pow x 2) (* (pow (PI) 2) (cos (neg (PI))))))))))) (/ (sin (neg (PI))) (* x (PI)))) tau) |
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (cos (+ (* -1/2 (PI)) (* x (PI)))))))) (/ (cos (+ (* -1/2 (PI)) (* x (PI)))) (* x (PI)))) |
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (cos (+ (* -1/2 (PI)) (* x (PI))))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (cos (+ (* -1/2 (PI)) (* x (PI)))))))))) (/ (cos (+ (* -1/2 (PI)) (* x (PI)))) (* x (PI)))) |
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (cos (+ (* -1/2 (PI)) (* x (PI))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (cos (+ (* -1/2 (PI)) (* x (PI)))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (cos (+ (* -1/2 (PI)) (* x (PI))))))))))) (/ (cos (+ (* -1/2 (PI)) (* x (PI)))) (* x (PI)))) |
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))) |
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))))) |
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))) |
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))))))) |
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5))))))))) |
(* tau (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))) |
(* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))) |
(* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))) |
(* tau (- (* -1 (/ (PI) tau)) (* x (PI)))) |
(* tau (+ (* x (PI)) (/ (PI) tau))) |
(* -1 (* tau (- (/ (PI) tau) (* -1 (* x (PI)))))) |
(* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (PI) tau))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | x | @ | -inf | ((/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (neg (+ (* (* tau x) (PI)) (PI))) (cos (+ (* (PI) x) (/ (PI) -2))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (cos (+ (* (PI) x) (/ (PI) -2))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* tau x) (PI)) (PI)) (* x (PI)) (/ (cos (+ (* (PI) x) (/ (PI) -2))) (* x (PI)))) |
| 11.0ms | tau | @ | -inf | ((/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (neg (+ (* (* tau x) (PI)) (PI))) (cos (+ (* (PI) x) (/ (PI) -2))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (cos (+ (* (PI) x) (/ (PI) -2))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* tau x) (PI)) (PI)) (* x (PI)) (/ (cos (+ (* (PI) x) (/ (PI) -2))) (* x (PI)))) |
| 8.0ms | x | @ | inf | ((/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (neg (+ (* (* tau x) (PI)) (PI))) (cos (+ (* (PI) x) (/ (PI) -2))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (cos (+ (* (PI) x) (/ (PI) -2))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* tau x) (PI)) (PI)) (* x (PI)) (/ (cos (+ (* (PI) x) (/ (PI) -2))) (* x (PI)))) |
| 7.0ms | tau | @ | inf | ((/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (neg (+ (* (* tau x) (PI)) (PI))) (cos (+ (* (PI) x) (/ (PI) -2))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (cos (+ (* (PI) x) (/ (PI) -2))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* tau x) (PI)) (PI)) (* x (PI)) (/ (cos (+ (* (PI) x) (/ (PI) -2))) (* x (PI)))) |
| 6.0ms | x | @ | 0 | ((/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (sin (* (PI) x)) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x))) (/ (sin (* (PI) x)) (* tau (* (PI) x))) (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (neg (+ (* (* tau x) (PI)) (PI))) (cos (+ (* (PI) x) (/ (PI) -2))) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (cos (+ (* (PI) x) (/ (PI) -2))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x))) (/ (sin (* tau (* (PI) x))) (* (PI) x)) (/ (sin (* x (PI))) (* x (PI))) (+ (* (* tau x) (PI)) (PI)) (* x (PI)) (/ (cos (+ (* (PI) x) (/ (PI) -2))) (* x (PI)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 588 | 2604 |
| 1 | 2215 | 2404 |
| 2 | 6999 | 2397 |
| 0 | 8162 | 2230 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6)))))))))))))) |
(* x (PI)) |
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3)))))) |
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5))))))))))) |
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7))))))))))))))) |
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))) |
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5))))))) |
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5)))))))) |
(/ 1 tau) |
(+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau)) |
(+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau)) |
(+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau)) |
(sin (neg (PI))) |
(+ (sin (neg (PI))) (* -1 (* tau (* x (* (PI) (cos (neg (PI)))))))) |
(+ (sin (neg (PI))) (* x (+ (* -1 (* tau (* (PI) (cos (neg (PI)))))) (* -1/2 (* (pow tau 2) (* x (* (pow (PI) 2) (sin (neg (PI)))))))))) |
(+ (sin (neg (PI))) (* x (+ (* -1 (* tau (* (PI) (cos (neg (PI)))))) (* x (+ (* -1/2 (* (pow tau 2) (* (pow (PI) 2) (sin (neg (PI)))))) (* 1/6 (* (pow tau 3) (* x (* (pow (PI) 3) (cos (neg (PI)))))))))))) |
(/ (sin (neg (PI))) (* tau (* x (PI)))) |
(/ (+ (* -1 (* x (cos (neg (PI))))) (/ (sin (neg (PI))) (* tau (PI)))) x) |
(/ (+ (* x (+ (* -1 (cos (neg (PI)))) (* x (+ (* -1/2 (* tau (* (PI) (sin (neg (PI)))))) (* -1/6 (/ (* (PI) (sin (neg (PI)))) tau)))))) (/ (sin (neg (PI))) (* tau (PI)))) x) |
(/ (+ (* x (+ (* -1 (cos (neg (PI)))) (* x (+ (* -1/2 (* tau (* (PI) (sin (neg (PI)))))) (+ (* -1/6 (/ (* (PI) (sin (neg (PI)))) tau)) (* x (+ (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (neg (PI)))))) (* 1/6 (* (pow (PI) 2) (cos (neg (PI)))))))))))) (/ (sin (neg (PI))) (* tau (PI)))) x) |
(/ (+ (* x (+ (* -1 (cos (neg (PI)))) (* -1/2 (* tau (* x (* (PI) (sin (neg (PI))))))))) (/ (sin (neg (PI))) (* tau (PI)))) x) |
(/ (+ (* x (+ (* -1 (cos (neg (PI)))) (* x (+ (* -1/2 (* tau (* (PI) (sin (neg (PI)))))) (* 1/6 (* (pow tau 2) (* x (* (pow (PI) 2) (cos (neg (PI))))))))))) (/ (sin (neg (PI))) (* tau (PI)))) x) |
(* -1 (PI)) |
(- (* -1 (* tau (* x (PI)))) (PI)) |
(cos (* -1/2 (PI))) |
(+ (cos (* -1/2 (PI))) (* -1 (* x (* (PI) (sin (* -1/2 (PI))))))) |
(+ (cos (* -1/2 (PI))) (* x (- (* -1/2 (* x (* (pow (PI) 2) (cos (* -1/2 (PI)))))) (* (PI) (sin (* -1/2 (PI))))))) |
(+ (cos (* -1/2 (PI))) (* x (- (* x (+ (* -1/2 (* (pow (PI) 2) (cos (* -1/2 (PI))))) (* 1/6 (* x (* (pow (PI) 3) (sin (* -1/2 (PI)))))))) (* (PI) (sin (* -1/2 (PI))))))) |
(/ (cos (* -1/2 (PI))) (* x (PI))) |
(/ (+ (* -1 (* x (sin (* -1/2 (PI))))) (/ (cos (* -1/2 (PI))) (PI))) x) |
(/ (+ (* x (+ (* -1 (sin (* -1/2 (PI)))) (* x (+ (* -1/2 (* (PI) (cos (* -1/2 (PI))))) (* -1/6 (* (pow tau 2) (* (PI) (cos (* -1/2 (PI)))))))))) (/ (cos (* -1/2 (PI))) (PI))) x) |
(/ (+ (* x (+ (* -1 (sin (* -1/2 (PI)))) (* x (+ (* -1/2 (* (PI) (cos (* -1/2 (PI))))) (+ (* -1/6 (* (pow tau 2) (* (PI) (cos (* -1/2 (PI)))))) (* x (+ (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (sin (* -1/2 (PI)))))) (* 1/6 (* (pow (PI) 2) (sin (* -1/2 (PI)))))))))))) (/ (cos (* -1/2 (PI))) (PI))) x) |
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4))))))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4)))))))) |
(* tau (* x (PI))) |
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI)))) |
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5)))))))) |
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5))))))))) |
tau |
(+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))) |
(+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4))))))) |
(+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 5) (pow (PI) 4)))))))) |
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4))))))) |
(PI) |
(+ (PI) (* tau (* x (PI)))) |
(/ (+ (* x (+ (* -1 (sin (* -1/2 (PI)))) (* -1/2 (* x (* (PI) (cos (* -1/2 (PI)))))))) (/ (cos (* -1/2 (PI))) (PI))) x) |
(/ (+ (* x (+ (* -1 (sin (* -1/2 (PI)))) (* x (+ (* -1/2 (* (PI) (cos (* -1/2 (PI))))) (* 1/6 (* x (* (pow (PI) 2) (sin (* -1/2 (PI)))))))))) (/ (cos (* -1/2 (PI))) (PI))) x) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) |
(sin (* x (PI))) |
(/ (sin (* x (PI))) (* tau (* x (PI)))) |
(sin (neg (+ (PI) (* tau (* x (PI)))))) |
(/ (* (sin (neg (+ (PI) (* tau (* x (PI)))))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (sin (neg (+ (PI) (* tau (* x (PI)))))) (* tau (* x (PI)))) |
(* -1 (* tau (* x (PI)))) |
(* x (- (* -1 (/ (PI) x)) (* tau (PI)))) |
(cos (+ (* -1/2 (PI)) (* x (PI)))) |
(/ (* (cos (+ (* -1/2 (PI)) (* x (PI)))) (sin (* tau (* x (PI))))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(/ (sin (* tau (* x (PI)))) (* x (PI))) |
(/ (sin (* x (PI))) (* x (PI))) |
(* x (+ (* tau (PI)) (/ (PI) x))) |
(/ (cos (+ (* -1/2 (PI)) (* x (PI)))) (* x (PI))) |
(* -1 (* x (- (/ (PI) x) (* -1 (* tau (PI)))))) |
(* -1 (* x (+ (* -1 (* tau (PI))) (* -1 (/ (PI) x))))) |
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI)))) |
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI)))) |
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI)))) |
(+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))) |
(+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))) |
(+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))) |
(+ (sin (neg (PI))) (* tau (+ (* -1 (* x (* (PI) (cos (neg (PI)))))) (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (sin (neg (PI)))))))))) |
(+ (sin (neg (PI))) (* tau (+ (* -1 (* x (* (PI) (cos (neg (PI)))))) (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (sin (neg (PI)))))) (* 1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (cos (neg (PI)))))))))))) |
(/ (* (sin (neg (PI))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (+ (* -1 (/ (* tau (* (cos (neg (PI))) (sin (* x (PI))))) (* x (PI)))) (/ (* (sin (neg (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau) |
(/ (+ (* tau (+ (* -1 (/ (* (cos (neg (PI))) (sin (* x (PI)))) (* x (PI)))) (* -1/2 (* tau (* (sin (neg (PI))) (sin (* x (PI)))))))) (/ (* (sin (neg (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau) |
(/ (+ (* tau (+ (* -1 (/ (* (cos (neg (PI))) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* -1/2 (* (sin (neg (PI))) (sin (* x (PI))))) (* 1/6 (* tau (* x (* (PI) (* (cos (neg (PI))) (sin (* x (PI)))))))))))) (/ (* (sin (neg (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau) |
(/ (+ (* -1 (* tau (cos (neg (PI))))) (/ (sin (neg (PI))) (* x (PI)))) tau) |
(/ (+ (* tau (+ (* -1 (cos (neg (PI)))) (* -1/2 (* tau (* x (* (PI) (sin (neg (PI))))))))) (/ (sin (neg (PI))) (* x (PI)))) tau) |
(/ (+ (* tau (+ (* -1 (cos (neg (PI)))) (* tau (+ (* -1/2 (* x (* (PI) (sin (neg (PI)))))) (* 1/6 (* tau (* (pow x 2) (* (pow (PI) 2) (cos (neg (PI))))))))))) (/ (sin (neg (PI))) (* x (PI)))) tau) |
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (cos (+ (* -1/2 (PI)) (* x (PI)))))))) (/ (cos (+ (* -1/2 (PI)) (* x (PI)))) (* x (PI)))) |
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (cos (+ (* -1/2 (PI)) (* x (PI))))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (cos (+ (* -1/2 (PI)) (* x (PI)))))))))) (/ (cos (+ (* -1/2 (PI)) (* x (PI)))) (* x (PI)))) |
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (cos (+ (* -1/2 (PI)) (* x (PI))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (cos (+ (* -1/2 (PI)) (* x (PI)))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (cos (+ (* -1/2 (PI)) (* x (PI))))))))))) (/ (cos (+ (* -1/2 (PI)) (* x (PI)))) (* x (PI)))) |
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))) |
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))))) |
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))) |
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))))))) |
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5))))))))) |
(* tau (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))) |
(* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))) |
(* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))) |
(* tau (- (* -1 (/ (PI) tau)) (* x (PI)))) |
(* tau (+ (* x (PI)) (/ (PI) tau))) |
(* -1 (* tau (- (/ (PI) tau) (* -1 (* x (PI)))))) |
(* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (PI) tau))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary32) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))) |
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 tau tau) #s(literal 1/120 binary32)))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 x x) #s(literal 1 binary32)) |
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(* x (PI)) |
(*.f32 (PI.f32) x) |
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3)))))) |
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(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5))))))))))) |
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(/.f32 #s(literal 1 binary32) tau) |
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#s(literal 0 binary32) |
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tau |
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(PI) |
(PI.f32) |
(+ (PI) (* tau (* x (PI)))) |
(fma.f32 (*.f32 (PI.f32) x) tau (PI.f32)) |
(/ (+ (* x (+ (* -1 (sin (* -1/2 (PI)))) (* -1/2 (* x (* (PI) (cos (* -1/2 (PI)))))))) (/ (cos (* -1/2 (PI))) (PI))) x) |
(/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (*.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) x (/.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32))) x) |
(/ (+ (* x (+ (* -1 (sin (* -1/2 (PI)))) (* x (+ (* -1/2 (* (PI) (cos (* -1/2 (PI))))) (* 1/6 (* x (* (pow (PI) 2) (sin (* -1/2 (PI)))))))))) (/ (cos (* -1/2 (PI))) (PI))) x) |
(/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) x) (*.f32 (sin.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) x (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) x (/.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32))) x) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) (PI.f32)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) |
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau))) |
(sin (* x (PI))) |
(sin.f32 (*.f32 (PI.f32) x)) |
(/ (sin (* x (PI))) (* tau (* x (PI)))) |
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) x) tau)) |
(sin (neg (+ (PI) (* tau (* x (PI)))))) |
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) |
(/ (* (sin (neg (+ (PI) (* tau (* x (PI)))))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) (PI.f32)))) |
(/ (sin (neg (+ (PI) (* tau (* x (PI)))))) (* tau (* x (PI)))) |
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) |
(* -1 (* tau (* x (PI)))) |
(*.f32 (*.f32 tau x) (neg.f32 (PI.f32))) |
(* x (- (* -1 (/ (PI) x)) (* tau (PI)))) |
(*.f32 (neg.f32 x) (fma.f32 (PI.f32) tau (/.f32 (PI.f32) x))) |
(cos (+ (* -1/2 (PI)) (* x (PI)))) |
(cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1/2 binary32) x))) |
(/ (* (cos (+ (* -1/2 (PI)) (* x (PI)))) (sin (* tau (* x (PI))))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1/2 binary32) x))) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) (PI.f32)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) |
(sin (* tau (* x (PI)))) |
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) |
(/ (sin (* tau (* x (PI)))) (* x (PI))) |
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) x)) |
(/ (sin (* x (PI))) (* x (PI))) |
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) |
(* x (+ (* tau (PI)) (/ (PI) x))) |
(*.f32 (fma.f32 (PI.f32) tau (/.f32 (PI.f32) x)) x) |
(/ (cos (+ (* -1/2 (PI)) (* x (PI)))) (* x (PI))) |
(/.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1/2 binary32) x))) (*.f32 (PI.f32) x)) |
(* -1 (* x (- (/ (PI) x) (* -1 (* tau (PI)))))) |
(*.f32 (neg.f32 x) (fma.f32 (PI.f32) tau (/.f32 (PI.f32) x))) |
(* -1 (* x (+ (* -1 (* tau (PI))) (* -1 (/ (PI) x))))) |
(*.f32 (neg.f32 x) (neg.f32 (fma.f32 (PI.f32) tau (/.f32 (PI.f32) x)))) |
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI)))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) |
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI)))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) |
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI)))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 x #s(literal 5 binary32))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) |
(+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 x x)) (sin.f32 (*.f32 (PI.f32) x))) |
(+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 x #s(literal 4 binary32))))) (*.f32 tau tau) (sin.f32 (*.f32 (PI.f32) x))) |
(+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 4 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 x #s(literal 6 binary32))))) (*.f32 tau tau))) (*.f32 tau tau) (sin.f32 (*.f32 (PI.f32) x))) |
(+ (sin (neg (PI))) (* tau (+ (* -1 (* x (* (PI) (cos (neg (PI)))))) (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (sin (neg (PI)))))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) tau) (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)) |
(+ (sin (neg (PI))) (* tau (+ (* -1 (* x (* (PI) (cos (neg (PI)))))) (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (sin (neg (PI)))))) (* 1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (cos (neg (PI)))))))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1 binary32)))) tau (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)) |
(/ (* (sin (neg (PI))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(*.f32 (/.f32 #s(literal 0 binary32) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32)))) |
(/ (+ (* -1 (/ (* tau (* (cos (neg (PI))) (sin (* x (PI))))) (* x (PI)))) (/ (* (sin (neg (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau) |
(/.f32 (/.f32 (+.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 #s(literal 0 binary32) (*.f32 x x))) (PI.f32)) (/.f32 (neg.f32 (*.f32 (neg.f32 tau) (sin.f32 (*.f32 (PI.f32) x)))) x)) (PI.f32)) tau) |
(/ (+ (* tau (+ (* -1 (/ (* (cos (neg (PI))) (sin (* x (PI)))) (* x (PI)))) (* -1/2 (* tau (* (sin (neg (PI))) (sin (* x (PI)))))))) (/ (* (sin (neg (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau) |
(/.f32 (fma.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x x)) (*.f32 (fma.f32 (*.f32 (*.f32 tau #s(literal 0 binary32)) (sin.f32 (*.f32 (PI.f32) x))) #s(literal -1/2 binary32) (*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) tau)) tau) |
(/ (+ (* tau (+ (* -1 (/ (* (cos (neg (PI))) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* -1/2 (* (sin (neg (PI))) (sin (* x (PI))))) (* 1/6 (* tau (* x (* (PI) (* (cos (neg (PI))) (sin (* x (PI)))))))))))) (/ (* (sin (neg (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau) |
(/.f32 (fma.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x x)) (*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 tau x) (*.f32 (neg.f32 (PI.f32)) (sin.f32 (*.f32 (PI.f32) x)))) #s(literal 1/6 binary32) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (PI.f32) x)))) tau (*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) tau)) tau) |
(/ (+ (* -1 (* tau (cos (neg (PI))))) (/ (sin (neg (PI))) (* x (PI)))) tau) |
(/.f32 (+.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau) tau) |
(/ (+ (* tau (+ (* -1 (cos (neg (PI)))) (* -1/2 (* tau (* x (* (PI) (sin (neg (PI))))))))) (/ (sin (neg (PI))) (* x (PI)))) tau) |
(/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 #s(literal 0 binary32) (PI.f32)) x) tau) #s(literal -1/2 binary32) #s(literal 1 binary32)) tau (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x))) tau) |
(/ (+ (* tau (+ (* -1 (cos (neg (PI)))) (* tau (+ (* -1/2 (* x (* (PI) (sin (neg (PI)))))) (* 1/6 (* tau (* (pow x 2) (* (pow (PI) 2) (cos (neg (PI))))))))))) (/ (sin (neg (PI))) (* x (PI)))) tau) |
(/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 (*.f32 (*.f32 #s(literal 0 binary32) (PI.f32)) x) #s(literal -1/2 binary32))) tau #s(literal 1 binary32)) tau (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x))) tau) |
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (cos (+ (* -1/2 (PI)) (* x (PI)))))))) (/ (cos (+ (* -1/2 (PI)) (* x (PI)))) (* x (PI)))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) x) (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1/2 binary32) x)))) (/.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1/2 binary32) x))) (*.f32 (PI.f32) x))) |
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (cos (+ (* -1/2 (PI)) (* x (PI))))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (cos (+ (* -1/2 (PI)) (* x (PI)))))))))) (/ (cos (+ (* -1/2 (PI)) (* x (PI)))) (* x (PI)))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1/2 binary32) x))) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1/2 binary32) x)))))) (*.f32 tau tau) (/.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1/2 binary32) x))) (*.f32 (PI.f32) x))) |
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (cos (+ (* -1/2 (PI)) (* x (PI))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (cos (+ (* -1/2 (PI)) (* x (PI)))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (cos (+ (* -1/2 (PI)) (* x (PI))))))))))) (/ (cos (+ (* -1/2 (PI)) (* x (PI)))) (* x (PI)))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1/2 binary32) x))) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1/2 binary32) x))) (pow.f32 (PI.f32) #s(literal 5 binary32))) (pow.f32 x #s(literal 5 binary32))) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1/2 binary32) x)))) #s(literal 1/120 binary32))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1/2 binary32) x))) (*.f32 (PI.f32) x))) |
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (*.f32 tau tau) #s(literal 1 binary32)) |
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (*.f32 tau tau))) (*.f32 tau tau) #s(literal 1 binary32)) |
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (PI.f32) x)) tau) |
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))))))) |
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau) |
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5))))))))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))))) (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 tau tau) (*.f32 (PI.f32) x)) tau) |
(* tau (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32)) tau) |
(* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))) |
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (*.f32 tau tau) #s(literal 1 binary32)) tau) |
(* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))) |
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (*.f32 tau tau))) (*.f32 tau tau) #s(literal 1 binary32)) tau) |
(* tau (- (* -1 (/ (PI) tau)) (* x (PI)))) |
(*.f32 (neg.f32 tau) (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau))) |
(* tau (+ (* x (PI)) (/ (PI) tau))) |
(*.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau) |
(* -1 (* tau (- (/ (PI) tau) (* -1 (* x (PI)))))) |
(*.f32 (neg.f32 tau) (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau))) |
(* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (PI) tau))))) |
(*.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 250 |
| 0 | 73 | 248 |
| 1 | 261 | 238 |
| 2 | 1533 | 234 |
| 0 | 8308 | 234 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x)) |
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) |
(sin.f32 (*.f32 (PI.f32) x)) |
(*.f32 (PI.f32) x) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32)) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) |
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) |
(sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) |
(neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) |
(cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 x (PI.f32)))) |
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) |
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) |
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x))) |
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)) |
(*.f32 x (PI.f32)) |
(/.f32 (cos.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 x (PI.f32))) |
| Outputs |
|---|
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) x) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x)) |
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) x)) |
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau x)) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (PI.f32))) |
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) x)) |
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau x)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (PI.f32))) |
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 tau (PI.f32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) (sin.f32 (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (*.f32 tau (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))) |
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 tau x))) |
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) |
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (*.f32 tau x))) |
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))) |
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))) |
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))) |
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))) |
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))))) |
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) |
(/.f32 (neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (PI.f32)))) (neg.f32 x)) |
(/.f32 (neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau x))) (neg.f32 (PI.f32))) |
(/.f32 (neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32)))) (neg.f32 tau)) |
(/.f32 (neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) x)) (*.f32 (neg.f32 tau) (PI.f32))) |
(/.f32 (neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (PI.f32))) (*.f32 (neg.f32 x) tau)) |
(/.f32 (neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) x)) (neg.f32 (PI.f32))) |
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (*.f32 tau x)))) (neg.f32 (PI.f32))) |
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))) (*.f32 (neg.f32 x) (PI.f32))) |
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))))) (neg.f32 (PI.f32))) |
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))) (neg.f32 tau)) |
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))))) (neg.f32 x)) |
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))))) (neg.f32 x)) |
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))) (neg.f32 tau)) |
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32)))) |
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))) (neg.f32 (PI.f32))) |
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))) (*.f32 (neg.f32 x) (PI.f32))) |
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32)))) (neg.f32 x)) |
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))))) (*.f32 x (PI.f32))) |
(/.f32 (neg.f32 (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))) (neg.f32 (neg.f32 x))) |
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))) (neg.f32 (*.f32 (*.f32 x (PI.f32)) (PI.f32)))) |
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau) (sin.f32 (fma.f32 x (PI.f32) (PI.f32))))) (neg.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (neg.f32 x) (PI.f32))))) |
(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))) (neg.f32 (*.f32 (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x) (PI.f32)))) |
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))) (*.f32 (neg.f32 tau) (PI.f32))) |
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32)))) |
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau))) (neg.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))))) |
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))))) (neg.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)))) |
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))) (*.f32 (neg.f32 tau) (PI.f32))) |
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) (neg.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)))) |
(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau))) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 x (PI.f32))))) |
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))) (neg.f32 (*.f32 x (*.f32 x (PI.f32))))) |
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32)) (sin.f32 (fma.f32 x (PI.f32) (PI.f32))))) (neg.f32 (*.f32 x (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)))) |
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) (neg.f32 (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))))) |
(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 x (PI.f32))))) |
(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32))))) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)))) |
(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32))))) (neg.f32 (*.f32 (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x) (*.f32 (neg.f32 x) (PI.f32))))) |
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau))) (neg.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) |
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32)))) (neg.f32 (*.f32 (*.f32 x (PI.f32)) x))) |
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))))) (neg.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (neg.f32 x) (PI.f32))))) |
(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32)))) (neg.f32 (*.f32 (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x) x))) |
(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))))) (neg.f32 (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)))) |
(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))))) (neg.f32 (*.f32 (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x) (*.f32 (neg.f32 x) (PI.f32))))) |
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))) (neg.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)))) |
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32))))) (neg.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)))) |
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32))))) (neg.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))) |
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32)))) (neg.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) x))) |
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau) (sin.f32 (*.f32 x (PI.f32))))) (neg.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) |
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau))) (neg.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) |
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) (neg.f32 (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)))) |
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))))) (neg.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)))) |
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))))) (neg.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))) |
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (PI.f32))) x) |
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau x)) (PI.f32)) |
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32))) tau) |
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) x) (*.f32 tau (PI.f32))) |
(/.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (PI.f32)) (*.f32 tau x)) |
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(fma.f32 (PI.f32) (*.f32 tau x) (PI.f32)) |
(+.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 (PI.f32) (PI.f32) (-.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32))))) (/.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 3 binary32)) (fma.f32 (PI.f32) (PI.f32) (-.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)))))) |
(+.f32 (/.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 3 binary32)) (fma.f32 (PI.f32) (PI.f32) (-.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32))))) (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 (PI.f32) (PI.f32) (-.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)))))) |
(+.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 (PI.f32) (-.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 3 binary32)) (fma.f32 (PI.f32) (-.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32))))) |
(+.f32 (/.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 3 binary32)) (fma.f32 (PI.f32) (-.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 (PI.f32) (-.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32))))) |
(+.f32 (/.f32 (pow.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 2 binary32)) (-.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32))) (/.f32 (*.f32 (neg.f32 (PI.f32)) (PI.f32)) (-.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)))) |
(+.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)) |
(+.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) |
(log.f32 (pow.f32 (exp.f32 (PI.f32)) x)) |
(*.f32 (neg.f32 (neg.f32 x)) (PI.f32)) |
(*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) |
(*.f32 (*.f32 x (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))) |
(*.f32 (neg.f32 x) (neg.f32 (PI.f32))) |
(*.f32 (neg.f32 (PI.f32)) (neg.f32 x)) |
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) x)) |
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) x)) |
(*.f32 x (PI.f32)) |
(*.f32 (PI.f32) x) |
(neg.f32 (*.f32 (neg.f32 x) (PI.f32))) |
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 #s(literal 0 binary32) (cos.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 (*.f32 #s(literal 0 binary32) (cos.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))) (*.f32 (/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))) (+.f32 (/.f32 (*.f32 #s(literal 0 binary32) (cos.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 #s(literal 0 binary32) (cos.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 #s(literal 0 binary32) (cos.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 (*.f32 #s(literal 0 binary32) (cos.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (fma.f32 (/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 #s(literal 0 binary32) (cos.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))))) |
(/.f32 (neg.f32 (/.f32 (/.f32 (cos.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32)))) x) (sqrt.f32 (PI.f32)))) (neg.f32 (sqrt.f32 (PI.f32)))) |
(/.f32 (neg.f32 (/.f32 (/.f32 (cos.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32)))) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (neg.f32 (cbrt.f32 (PI.f32)))) |
(/.f32 (neg.f32 (/.f32 (cos.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32)))) (PI.f32))) (neg.f32 x)) |
(/.f32 (neg.f32 (neg.f32 (/.f32 (cos.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32)))) x))) (PI.f32)) |
(/.f32 (neg.f32 (neg.f32 (neg.f32 (cos.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32))))))) (*.f32 (neg.f32 x) (PI.f32))) |
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal 0 binary32) (cos.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 x (PI.f32)))))) (pow.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32))) |
(/.f32 (/.f32 (/.f32 (cos.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32)))) x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) |
(/.f32 (/.f32 (/.f32 (cos.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32)))) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))) |
(/.f32 (/.f32 (cos.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32)))) (PI.f32)) x) |
(/.f32 (neg.f32 (/.f32 (cos.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32)))) x)) (neg.f32 (PI.f32))) |
(/.f32 (neg.f32 (neg.f32 (cos.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32)))))) (*.f32 x (PI.f32))) |
(/.f32 (/.f32 (cos.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32)))) x) (PI.f32)) |
(/.f32 (neg.f32 (cos.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32))))) (*.f32 (neg.f32 x) (PI.f32))) |
(/.f32 (cos.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 x (PI.f32))) |
(-.f32 (/.f32 (/.f32 (*.f32 #s(literal 0 binary32) (cos.f32 (*.f32 x (PI.f32)))) x) (PI.f32)) (/.f32 (/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 x (PI.f32)))) x) (PI.f32))) |
(-.f32 (/.f32 (*.f32 #s(literal 0 binary32) (cos.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))) |
(+.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 0 binary32)) (*.f32 x (PI.f32))) (/.f32 (*.f32 (cos.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32)))) #s(literal 1 binary32)) (*.f32 x (PI.f32)))) |
(+.f32 (/.f32 (*.f32 #s(literal 0 binary32) (cos.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 (*.f32 (sin.f32 (fma.f32 x (PI.f32) (PI.f32))) #s(literal -1 binary32)) (*.f32 x (PI.f32)))) |
(neg.f32 (/.f32 (neg.f32 (cos.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32))))) (*.f32 x (PI.f32)))) |
Compiled 23 762 to 2 905 computations (87.8% saved)
37 alts after pruning (35 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 747 | 25 | 772 |
| Fresh | 14 | 10 | 24 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 0 | 1 |
| Total | 765 | 37 | 802 |
| Status | Accuracy | Program |
|---|---|---|
| 97.7% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x)) | |
| 97.9% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32)))) | |
| ▶ | 97.9% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x)) |
| 77.5% | (/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x) (*.f32 (neg.f32 x) (PI.f32)))) | |
| 77.8% | (/.f32 (*.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x)) | |
| 81.4% | (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x))) | |
| 81.5% | (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))) | |
| 79.3% | (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x))) | |
| 79.2% | (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))) | |
| 80.9% | (/.f32 (*.f32 (cos.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32)))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x))) | |
| 76.5% | (/.f32 (*.f32 (cos.f32 (+.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x)) | |
| 79.7% | (/.f32 #s(approx (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (*.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x)) | |
| ▶ | 81.1% | (*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
| 76.9% | (*.f32 (/.f32 (sin.f32 (+.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) | |
| 76.6% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (cos.f32 (+.f32 (+.f32 (fma.f32 (PI.f32) x (PI.f32)) (PI.f32)) (/.f32 (PI.f32) #s(literal -2 binary32)))) (*.f32 x (PI.f32)))) | |
| 79.9% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (cos (+ (* (PI) x) (/ (PI) -2))) (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1/2 binary32) x)))) (*.f32 x (PI.f32)))) | |
| 94.4% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))) | |
| ▶ | 86.4% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
| 96.0% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (PI.f32)) x))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) | |
| 97.5% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) | |
| 97.4% | (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32))) | |
| 80.9% | (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) #s(approx (/ (sin (* tau (* (PI) x))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32)) tau))) | |
| ✓ | 81.5% | (*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
| 71.1% | (*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) | |
| 80.3% | (*.f32 (/.f32 (sin.f32 (neg.f32 #s(approx (+ (* (* tau x) (PI)) (PI)) (*.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) tau)) tau)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) | |
| 93.7% | (*.f32 (/.f32 #s(approx (sin (* (PI) x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) | |
| 81.4% | (*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) | |
| 86.2% | (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) | |
| 71.5% | (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) | |
| 65.2% | (*.f32 #s(approx (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) | |
| 80.4% | #s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) | |
| 97.1% | #s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) (PI.f32))))) | |
| 80.4% | #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) | |
| ▶ | 96.9% | #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) |
| ✓ | 64.4% | #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32)) |
| 80.0% | #s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) tau) (*.f32 #s(literal 0 binary32) (PI.f32)) (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32))) x (*.f32 (/.f32 (*.f32 #s(literal 0 binary32) (PI.f32)) tau) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x)) | |
| ▶ | 6.3% | #s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau)) |
Compiled 2 246 to 1 295 computations (42.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32)) | |
| cost-diff | 0 | (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) | |
| cost-diff | 0 | (*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) | |
| cost-diff | 2 | (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))) | |
| cost-diff | 0 | (sin.f32 (*.f32 (PI.f32) x)) | |
| cost-diff | 0 | (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) | |
| cost-diff | 0 | (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x))) | |
| cost-diff | 0 | #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) | |
| cost-diff | 0 | (*.f32 (*.f32 x (PI.f32)) tau) | |
| cost-diff | 0 | (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) | |
| cost-diff | 0 | (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) | |
| cost-diff | 0 | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) | |
| cost-diff | 0 | (*.f32 (PI.f32) x) | |
| cost-diff | 0 | #s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau)) | |
| cost-diff | 2 | (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau) | |
| cost-diff | 4 | (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) | |
| cost-diff | 0 | (sin.f32 (*.f32 x (PI.f32))) | |
| cost-diff | 0 | (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) | |
| cost-diff | 0 | (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) | |
| cost-diff | 0 | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 422 |
| 0 | 100 | 402 |
| 1 | 218 | 399 |
| 2 | 670 | 397 |
| 3 | 2270 | 397 |
| 4 | 6558 | 397 |
| 0 | 8084 | 397 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x)) |
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) |
(sin.f32 (*.f32 x (PI.f32))) |
(*.f32 x (PI.f32)) |
x |
(PI.f32) |
(*.f32 tau (*.f32 x (PI.f32))) |
tau |
(sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) |
(*.f32 (PI.f32) x) |
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau)) |
(/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau) |
(/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) |
#s(literal 0 binary32) |
(*.f32 (PI.f32) x) |
(PI.f32) |
x |
tau |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) |
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) |
(*.f32 (*.f32 x (PI.f32)) tau) |
(*.f32 x (PI.f32)) |
x |
(PI.f32) |
tau |
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) |
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) |
(*.f32 (*.f32 #s(literal -1/6 binary32) x) x) |
(*.f32 #s(literal -1/6 binary32) x) |
#s(literal -1/6 binary32) |
(*.f32 (PI.f32) (PI.f32)) |
#s(literal 1 binary32) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x))) |
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) |
(sin.f32 (*.f32 (PI.f32) x)) |
(*.f32 (PI.f32) x) |
(PI.f32) |
x |
(*.f32 tau (*.f32 (PI.f32) (PI.f32))) |
tau |
(*.f32 (PI.f32) (PI.f32)) |
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)) |
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) |
(*.f32 (*.f32 (PI.f32) x) tau) |
(*.f32 x x) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(/.f32 (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) |
(sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))) |
(fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32)) |
(neg.f32 x) |
x |
(*.f32 tau (PI.f32)) |
tau |
(PI.f32) |
(*.f32 (*.f32 x (PI.f32)) tau) |
(*.f32 x (PI.f32)) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(sin.f32 (*.f32 x (PI.f32))) |
| Outputs |
|---|
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x)) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 x x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x)) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) |
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) |
(sin.f32 (*.f32 x (PI.f32))) |
(sin.f32 (*.f32 (PI.f32) x)) |
(*.f32 x (PI.f32)) |
(*.f32 (PI.f32) x) |
x |
(PI.f32) |
(*.f32 tau (*.f32 x (PI.f32))) |
(*.f32 (*.f32 tau x) (PI.f32)) |
tau |
(sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) |
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) |
(*.f32 (PI.f32) x) |
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau)) |
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32)) |
(/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau) |
#s(literal 0 binary32) |
(/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) |
#s(literal 0 binary32) |
#s(literal 0 binary32) |
(*.f32 (PI.f32) x) |
(PI.f32) |
x |
tau |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) #s(literal 1 binary32))) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) |
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) |
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) |
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) |
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) |
(*.f32 (*.f32 x (PI.f32)) tau) |
(*.f32 (*.f32 tau x) (PI.f32)) |
(*.f32 x (PI.f32)) |
(*.f32 (PI.f32) x) |
x |
(PI.f32) |
tau |
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) |
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) #s(literal 1 binary32))) |
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) |
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) #s(literal 1 binary32)) |
(*.f32 (*.f32 #s(literal -1/6 binary32) x) x) |
(*.f32 #s(literal -1/6 binary32) x) |
#s(literal -1/6 binary32) |
(*.f32 (PI.f32) (PI.f32)) |
#s(literal 1 binary32) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) |
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 x x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 x x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) |
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) |
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) |
(sin.f32 (*.f32 (PI.f32) x)) |
(*.f32 (PI.f32) x) |
(PI.f32) |
x |
(*.f32 tau (*.f32 (PI.f32) (PI.f32))) |
(*.f32 (*.f32 (PI.f32) (PI.f32)) tau) |
tau |
(*.f32 (PI.f32) (PI.f32)) |
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)) |
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x x)) |
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) |
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) |
(*.f32 (*.f32 (PI.f32) x) tau) |
(*.f32 (*.f32 tau x) (PI.f32)) |
(*.f32 x x) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 x x)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) |
(/.f32 (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) |
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) |
(sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))) |
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) |
(fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32)) |
(-.f32 (PI.f32) (*.f32 (*.f32 tau x) (PI.f32))) |
(neg.f32 x) |
x |
(*.f32 tau (PI.f32)) |
tau |
(PI.f32) |
(*.f32 (*.f32 x (PI.f32)) tau) |
(*.f32 (*.f32 tau x) (PI.f32)) |
(*.f32 x (PI.f32)) |
(*.f32 (PI.f32) x) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) |
(sin.f32 (*.f32 x (PI.f32))) |
(sin.f32 (*.f32 (PI.f32) x)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.3671875 | (*.f32 x (PI.f32)) | |
| accuracy | 0.4010925781475362 | (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) | |
| accuracy | 0.4356627912568931 | (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32)) | |
| accuracy | 5.230105735630855 | (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))) | |
| accuracy | 0.3671875 | (*.f32 (PI.f32) x) | |
| accuracy | 0.3828125 | (*.f32 tau (*.f32 (PI.f32) (PI.f32))) | |
| accuracy | 0.4254875488422101 | (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x))) | |
| accuracy | 1.0 | (*.f32 (PI.f32) (PI.f32)) | |
| accuracy | 0.359375 | (*.f32 #s(literal -1/6 binary32) x) | |
| accuracy | 0.3671875 | (*.f32 x (PI.f32)) | |
| accuracy | 1.0 | (*.f32 (PI.f32) (PI.f32)) | |
| accuracy | 4.149036665181754 | #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) | |
| accuracy | 0.0 | (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) | |
| accuracy | 0.0 | (PI.f32) | |
| accuracy | 0.3671875 | (*.f32 (PI.f32) x) | |
| accuracy | 29.98286225527237 | #s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau)) | |
| accuracy | 0.35546875 | (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) | |
| accuracy | 0.366230029305326 | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x)) | |
| accuracy | 0.3671875 | (*.f32 (PI.f32) x) | |
| accuracy | 0.3671875 | (*.f32 x (PI.f32)) |
| 149.0ms | 256× | 0 | valid |
Compiled 377 to 49 computations (87% saved)
ival-sin: 65.0ms (53.4% of total)ival-mult: 28.0ms (23% of total)ival-div: 13.0ms (10.7% of total)ival-sinu: 5.0ms (4.1% of total)const: 4.0ms (3.3% of total)ival-add: 3.0ms (2.5% of total)ival-neg: 2.0ms (1.6% of total)ival-pi: 1.0ms (0.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x)) |
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) |
(sin.f32 (*.f32 x (PI.f32))) |
(/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) |
(/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau) |
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau)) |
(*.f32 (PI.f32) x) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) |
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) |
(*.f32 (*.f32 x (PI.f32)) tau) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x))) |
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) |
(sin.f32 (*.f32 (PI.f32) x)) |
(sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(/.f32 (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) |
(fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32)) |
(*.f32 x (PI.f32)) |
(PI.f32) |
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) |
(*.f32 (PI.f32) (PI.f32)) |
(*.f32 #s(literal -1/6 binary32) x) |
(*.f32 tau (*.f32 (PI.f32) (PI.f32))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
| Outputs |
|---|
1 |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6)))))))))))))) |
(* x (PI)) |
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3)))))) |
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5))))))))))) |
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7))))))))))))))) |
(/ 1 tau) |
(+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau)) |
(+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau)) |
(+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau)) |
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))) |
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5))))))) |
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5)))))))) |
0 |
(/ (sin (neg (PI))) (* tau (* x (PI)))) |
(/ (+ (* -1 (* x (cos (neg (PI))))) (/ (sin (neg (PI))) (* tau (PI)))) x) |
(/ (+ (* x (+ (* -1 (cos (neg (PI)))) (* x (+ (* -1/2 (* tau (* (PI) (sin (neg (PI)))))) (* -1/6 (/ (* (PI) (sin (neg (PI)))) tau)))))) (/ (sin (neg (PI))) (* tau (PI)))) x) |
(/ (+ (* x (+ (* -1 (cos (neg (PI)))) (* x (+ (* -1/2 (* tau (* (PI) (sin (neg (PI)))))) (+ (* -1/6 (/ (* (PI) (sin (neg (PI)))) tau)) (* x (+ (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (neg (PI)))))) (* 1/6 (* (pow (PI) 2) (cos (neg (PI)))))))))))) (/ (sin (neg (PI))) (* tau (PI)))) x) |
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4))))))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4)))))))) |
(* tau (* x (PI))) |
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI)))) |
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5)))))))) |
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5))))))))) |
(/ x (* tau (PI))) |
(* x (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI))))) |
(* x (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 3)) tau)))) (/ 1 (* tau (PI))))) |
(* x (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 5)) tau)) (* 1/120 (/ (pow (PI) 3) tau)))))) (/ 1 (* tau (PI))))) |
(sin (PI)) |
(+ (sin (PI)) (* -1 (* tau (* x (* (PI) (cos (PI))))))) |
(+ (sin (PI)) (* x (+ (* -1 (* tau (* (PI) (cos (PI))))) (* -1/2 (* (pow tau 2) (* x (* (pow (PI) 2) (sin (PI))))))))) |
(+ (sin (PI)) (* x (+ (* -1 (* tau (* (PI) (cos (PI))))) (* x (+ (* -1/2 (* (pow tau 2) (* (pow (PI) 2) (sin (PI))))) (* 1/6 (* (pow tau 3) (* x (* (pow (PI) 3) (cos (PI))))))))))) |
(/ (sin (PI)) (* tau (* x (PI)))) |
(/ (+ (* -1 (* x (cos (PI)))) (/ (sin (PI)) (* tau (PI)))) x) |
(/ (+ (* x (+ (* -1 (cos (PI))) (* x (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (* -1/6 (/ (* (PI) (sin (PI))) tau)))))) (/ (sin (PI)) (* tau (PI)))) x) |
(/ (+ (* x (+ (* -1 (cos (PI))) (* x (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (+ (* -1/6 (/ (* (PI) (sin (PI))) tau)) (* x (+ (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (PI))))) (* 1/6 (* (pow (PI) 2) (cos (PI))))))))))) (/ (sin (PI)) (* tau (PI)))) x) |
(/ (+ (* x (+ (* -1 (cos (PI))) (* -1/2 (* tau (* x (* (PI) (sin (PI)))))))) (/ (sin (PI)) (* tau (PI)))) x) |
(/ (+ (* x (+ (* -1 (cos (PI))) (* x (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (* 1/6 (* (pow tau 2) (* x (* (pow (PI) 2) (cos (PI)))))))))) (/ (sin (PI)) (* tau (PI)))) x) |
(PI) |
(+ (PI) (* -1 (* tau (* x (PI))))) |
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4))))))) |
(* -1/6 x) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) |
(/ (sin (* x (PI))) (* tau (* x (PI)))) |
(sin (* x (PI))) |
(/ (* (sin (neg (+ (PI) (* tau (* x (PI)))))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(/ (sin (* x (PI))) (* tau (pow (PI) 2))) |
(sin (+ (PI) (* -1 (* tau (* x (PI)))))) |
(/ (* (sin (* x (PI))) (sin (+ (PI) (* -1 (* tau (* x (PI))))))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (sin (+ (PI) (* -1 (* tau (* x (PI)))))) (* tau (* x (PI)))) |
(* -1 (* tau (* x (PI)))) |
(* x (+ (* -1 (* tau (PI))) (/ (PI) x))) |
(/ (sin (* x (PI))) (* x (PI))) |
(* -1 (* x (+ (* -1 (/ (PI) x)) (* tau (PI))))) |
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI)))) |
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI)))) |
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI)))) |
(+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))) |
(+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))) |
(+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))) |
(/ (* (sin (neg (PI))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (+ (* -1 (/ (* tau (* (cos (neg (PI))) (sin (* x (PI))))) (* x (PI)))) (/ (* (sin (neg (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau) |
(/ (+ (* tau (+ (* -1 (/ (* (cos (neg (PI))) (sin (* x (PI)))) (* x (PI)))) (* -1/2 (* tau (* (sin (neg (PI))) (sin (* x (PI)))))))) (/ (* (sin (neg (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau) |
(/ (+ (* tau (+ (* -1 (/ (* (cos (neg (PI))) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* -1/2 (* (sin (neg (PI))) (sin (* x (PI))))) (* 1/6 (* tau (* x (* (PI) (* (cos (neg (PI))) (sin (* x (PI)))))))))))) (/ (* (sin (neg (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau) |
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))) |
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))))) |
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))) |
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))))))) |
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5))))))))) |
(+ (sin (PI)) (* tau (+ (* -1 (* x (* (PI) (cos (PI))))) (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (sin (PI))))))))) |
(+ (sin (PI)) (* tau (+ (* -1 (* x (* (PI) (cos (PI))))) (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (sin (PI))))) (* 1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (cos (PI))))))))))) |
(/ (* (sin (PI)) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (+ (* -1 (/ (* tau (* (cos (PI)) (sin (* x (PI))))) (* x (PI)))) (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau) |
(/ (+ (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* -1/2 (* tau (* (sin (PI)) (sin (* x (PI)))))))) (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau) |
(/ (+ (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* -1/2 (* (sin (PI)) (sin (* x (PI))))) (* 1/6 (* tau (* x (* (PI) (* (cos (PI)) (sin (* x (PI)))))))))))) (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau) |
(/ (+ (* -1 (* tau (cos (PI)))) (/ (sin (PI)) (* x (PI)))) tau) |
(/ (+ (* tau (+ (* -1 (cos (PI))) (* -1/2 (* tau (* x (* (PI) (sin (PI)))))))) (/ (sin (PI)) (* x (PI)))) tau) |
(/ (+ (* tau (+ (* -1 (cos (PI))) (* tau (+ (* -1/2 (* x (* (PI) (sin (PI))))) (* 1/6 (* tau (* (pow x 2) (* (pow (PI) 2) (cos (PI)))))))))) (/ (sin (PI)) (* x (PI)))) tau) |
(* tau (pow (PI) 2)) |
(* tau (+ (* -1 (* x (PI))) (/ (PI) tau))) |
(* -1 (* tau (+ (* -1 (/ (PI) tau)) (* x (PI))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 34.0ms | x | @ | -inf | ((/ (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (* (PI) x)) (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* x (PI))) (/ 0 (* (PI) x)) (/ (/ 0 (* (PI) x)) tau) (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/ (sin (* (* (PI) x) tau)) (* x x))) (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (sin (* (PI) x)) (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (+ (* (neg x) (* tau (PI))) (PI)) (* x (PI)) (PI) (/ (sin (* x (PI))) (* x (PI))) (* (PI) (PI)) (* -1/6 x) (* tau (* (PI) (PI))) (/ (sin (* x (PI))) (* x (PI)))) |
| 7.0ms | tau | @ | -inf | ((/ (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (* (PI) x)) (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* x (PI))) (/ 0 (* (PI) x)) (/ (/ 0 (* (PI) x)) tau) (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/ (sin (* (* (PI) x) tau)) (* x x))) (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (sin (* (PI) x)) (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (+ (* (neg x) (* tau (PI))) (PI)) (* x (PI)) (PI) (/ (sin (* x (PI))) (* x (PI))) (* (PI) (PI)) (* -1/6 x) (* tau (* (PI) (PI))) (/ (sin (* x (PI))) (* x (PI)))) |
| 6.0ms | x | @ | inf | ((/ (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (* (PI) x)) (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* x (PI))) (/ 0 (* (PI) x)) (/ (/ 0 (* (PI) x)) tau) (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/ (sin (* (* (PI) x) tau)) (* x x))) (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (sin (* (PI) x)) (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (+ (* (neg x) (* tau (PI))) (PI)) (* x (PI)) (PI) (/ (sin (* x (PI))) (* x (PI))) (* (PI) (PI)) (* -1/6 x) (* tau (* (PI) (PI))) (/ (sin (* x (PI))) (* x (PI)))) |
| 6.0ms | tau | @ | inf | ((/ (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (* (PI) x)) (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* x (PI))) (/ 0 (* (PI) x)) (/ (/ 0 (* (PI) x)) tau) (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/ (sin (* (* (PI) x) tau)) (* x x))) (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (sin (* (PI) x)) (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (+ (* (neg x) (* tau (PI))) (PI)) (* x (PI)) (PI) (/ (sin (* x (PI))) (* x (PI))) (* (PI) (PI)) (* -1/6 x) (* tau (* (PI) (PI))) (/ (sin (* x (PI))) (* x (PI)))) |
| 4.0ms | tau | @ | 0 | ((/ (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (* (PI) x)) (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* x (PI))) (/ 0 (* (PI) x)) (/ (/ 0 (* (PI) x)) tau) (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (PI) x) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (sin (* (* x (PI)) tau)) (* (* x (PI)) tau) (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/ (sin (* (* (PI) x) tau)) (* x x))) (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (sin (* (PI) x)) (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (+ (* (neg x) (* tau (PI))) (PI)) (* x (PI)) (PI) (/ (sin (* x (PI))) (* x (PI))) (* (PI) (PI)) (* -1/6 x) (* tau (* (PI) (PI))) (/ (sin (* x (PI))) (* x (PI)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 552 | 2014 |
| 1 | 2182 | 1682 |
| 2 | 7920 | 1670 |
| 0 | 8044 | 1557 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6)))))))))))))) |
(* x (PI)) |
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3)))))) |
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5))))))))))) |
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7))))))))))))))) |
(/ 1 tau) |
(+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau)) |
(+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau)) |
(+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau)) |
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))) |
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5))))))) |
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5)))))))) |
0 |
(/ (sin (neg (PI))) (* tau (* x (PI)))) |
(/ (+ (* -1 (* x (cos (neg (PI))))) (/ (sin (neg (PI))) (* tau (PI)))) x) |
(/ (+ (* x (+ (* -1 (cos (neg (PI)))) (* x (+ (* -1/2 (* tau (* (PI) (sin (neg (PI)))))) (* -1/6 (/ (* (PI) (sin (neg (PI)))) tau)))))) (/ (sin (neg (PI))) (* tau (PI)))) x) |
(/ (+ (* x (+ (* -1 (cos (neg (PI)))) (* x (+ (* -1/2 (* tau (* (PI) (sin (neg (PI)))))) (+ (* -1/6 (/ (* (PI) (sin (neg (PI)))) tau)) (* x (+ (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (neg (PI)))))) (* 1/6 (* (pow (PI) 2) (cos (neg (PI)))))))))))) (/ (sin (neg (PI))) (* tau (PI)))) x) |
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4))))))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4)))))))) |
(* tau (* x (PI))) |
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI)))) |
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5)))))))) |
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5))))))))) |
(/ x (* tau (PI))) |
(* x (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI))))) |
(* x (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 3)) tau)))) (/ 1 (* tau (PI))))) |
(* x (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 5)) tau)) (* 1/120 (/ (pow (PI) 3) tau)))))) (/ 1 (* tau (PI))))) |
(sin (PI)) |
(+ (sin (PI)) (* -1 (* tau (* x (* (PI) (cos (PI))))))) |
(+ (sin (PI)) (* x (+ (* -1 (* tau (* (PI) (cos (PI))))) (* -1/2 (* (pow tau 2) (* x (* (pow (PI) 2) (sin (PI))))))))) |
(+ (sin (PI)) (* x (+ (* -1 (* tau (* (PI) (cos (PI))))) (* x (+ (* -1/2 (* (pow tau 2) (* (pow (PI) 2) (sin (PI))))) (* 1/6 (* (pow tau 3) (* x (* (pow (PI) 3) (cos (PI))))))))))) |
(/ (sin (PI)) (* tau (* x (PI)))) |
(/ (+ (* -1 (* x (cos (PI)))) (/ (sin (PI)) (* tau (PI)))) x) |
(/ (+ (* x (+ (* -1 (cos (PI))) (* x (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (* -1/6 (/ (* (PI) (sin (PI))) tau)))))) (/ (sin (PI)) (* tau (PI)))) x) |
(/ (+ (* x (+ (* -1 (cos (PI))) (* x (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (+ (* -1/6 (/ (* (PI) (sin (PI))) tau)) (* x (+ (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (PI))))) (* 1/6 (* (pow (PI) 2) (cos (PI))))))))))) (/ (sin (PI)) (* tau (PI)))) x) |
(/ (+ (* x (+ (* -1 (cos (PI))) (* -1/2 (* tau (* x (* (PI) (sin (PI)))))))) (/ (sin (PI)) (* tau (PI)))) x) |
(/ (+ (* x (+ (* -1 (cos (PI))) (* x (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (* 1/6 (* (pow tau 2) (* x (* (pow (PI) 2) (cos (PI)))))))))) (/ (sin (PI)) (* tau (PI)))) x) |
(PI) |
(+ (PI) (* -1 (* tau (* x (PI))))) |
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4))))))) |
(* -1/6 x) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))) |
(/ (sin (* x (PI))) (* tau (* x (PI)))) |
(sin (* x (PI))) |
(/ (* (sin (neg (+ (PI) (* tau (* x (PI)))))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(/ (sin (* x (PI))) (* tau (pow (PI) 2))) |
(sin (+ (PI) (* -1 (* tau (* x (PI)))))) |
(/ (* (sin (* x (PI))) (sin (+ (PI) (* -1 (* tau (* x (PI))))))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (sin (+ (PI) (* -1 (* tau (* x (PI)))))) (* tau (* x (PI)))) |
(* -1 (* tau (* x (PI)))) |
(* x (+ (* -1 (* tau (PI))) (/ (PI) x))) |
(/ (sin (* x (PI))) (* x (PI))) |
(* -1 (* x (+ (* -1 (/ (PI) x)) (* tau (PI))))) |
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI)))) |
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI)))) |
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI)))) |
(+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))) |
(+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))) |
(+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))) |
(/ (* (sin (neg (PI))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (+ (* -1 (/ (* tau (* (cos (neg (PI))) (sin (* x (PI))))) (* x (PI)))) (/ (* (sin (neg (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau) |
(/ (+ (* tau (+ (* -1 (/ (* (cos (neg (PI))) (sin (* x (PI)))) (* x (PI)))) (* -1/2 (* tau (* (sin (neg (PI))) (sin (* x (PI)))))))) (/ (* (sin (neg (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau) |
(/ (+ (* tau (+ (* -1 (/ (* (cos (neg (PI))) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* -1/2 (* (sin (neg (PI))) (sin (* x (PI))))) (* 1/6 (* tau (* x (* (PI) (* (cos (neg (PI))) (sin (* x (PI)))))))))))) (/ (* (sin (neg (PI))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau) |
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))) |
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))))) |
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))) |
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))))))) |
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5))))))))) |
(+ (sin (PI)) (* tau (+ (* -1 (* x (* (PI) (cos (PI))))) (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (sin (PI))))))))) |
(+ (sin (PI)) (* tau (+ (* -1 (* x (* (PI) (cos (PI))))) (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (sin (PI))))) (* 1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (cos (PI))))))))))) |
(/ (* (sin (PI)) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (+ (* -1 (/ (* tau (* (cos (PI)) (sin (* x (PI))))) (* x (PI)))) (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau) |
(/ (+ (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* -1/2 (* tau (* (sin (PI)) (sin (* x (PI)))))))) (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau) |
(/ (+ (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* -1/2 (* (sin (PI)) (sin (* x (PI))))) (* 1/6 (* tau (* x (* (PI) (* (cos (PI)) (sin (* x (PI)))))))))))) (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau) |
(/ (+ (* -1 (* tau (cos (PI)))) (/ (sin (PI)) (* x (PI)))) tau) |
(/ (+ (* tau (+ (* -1 (cos (PI))) (* -1/2 (* tau (* x (* (PI) (sin (PI)))))))) (/ (sin (PI)) (* x (PI)))) tau) |
(/ (+ (* tau (+ (* -1 (cos (PI))) (* tau (+ (* -1/2 (* x (* (PI) (sin (PI))))) (* 1/6 (* tau (* (pow x 2) (* (pow (PI) 2) (cos (PI)))))))))) (/ (sin (PI)) (* x (PI)))) tau) |
(* tau (pow (PI) 2)) |
(* tau (+ (* -1 (* x (PI))) (/ (PI) tau))) |
(* -1 (* tau (+ (* -1 (/ (PI) tau)) (* x (PI))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary32) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))) |
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 tau tau) #s(literal 1/120 binary32)))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 x x) #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6)))))))))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/720 binary32) (*.f32 tau tau) (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 tau tau) #s(literal 1/120 binary32))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 x x) #s(literal 1 binary32)) |
(* x (PI)) |
(*.f32 (PI.f32) x) |
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3)))))) |
(fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (pow.f32 x #s(literal 3 binary32)) (*.f32 (PI.f32) x)) |
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5))))))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 tau tau) #s(literal 1/120 binary32)))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (pow.f32 x #s(literal 3 binary32)) (*.f32 (PI.f32) x)) |
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7))))))))))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (fma.f32 #s(literal -1/720 binary32) (*.f32 tau tau) (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 tau tau) #s(literal 1/120 binary32))))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (pow.f32 x #s(literal 3 binary32)) (*.f32 (PI.f32) x)) |
(/ 1 tau) |
(/.f32 #s(literal 1 binary32) tau) |
(+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau)) |
(/.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) tau) |
(+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau)) |
(fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) tau)) |
(+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau)) |
(fma.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32))) tau) (*.f32 x x) (*.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) tau) #s(literal -1/6 binary32))) (*.f32 x x) (/.f32 #s(literal 1 binary32) tau)) |
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (PI.f32)) x) |
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 x #s(literal 3 binary32)) (*.f32 (PI.f32) x)) |
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5)))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 x #s(literal 3 binary32)) (*.f32 (PI.f32) x)) |
0 |
#s(literal 0 binary32) |
(/ (sin (neg (PI))) (* tau (* x (PI)))) |
#s(literal 0 binary32) |
(/ (+ (* -1 (* x (cos (neg (PI))))) (/ (sin (neg (PI))) (* tau (PI)))) x) |
(/.f32 x x) |
(/ (+ (* x (+ (* -1 (cos (neg (PI)))) (* x (+ (* -1/2 (* tau (* (PI) (sin (neg (PI)))))) (* -1/6 (/ (* (PI) (sin (neg (PI)))) tau)))))) (/ (sin (neg (PI))) (* tau (PI)))) x) |
(/.f32 x x) |
(/ (+ (* x (+ (* -1 (cos (neg (PI)))) (* x (+ (* -1/2 (* tau (* (PI) (sin (neg (PI)))))) (+ (* -1/6 (/ (* (PI) (sin (neg (PI)))) tau)) (* x (+ (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (neg (PI)))))) (* 1/6 (* (pow (PI) 2) (cos (neg (PI)))))))))))) (/ (sin (neg (PI))) (* tau (PI)))) x) |
(*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) (/.f32 x x)) |
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 x x)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x) #s(literal 1 binary32)) |
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(/ (+ (* tau (+ (* -1 (cos (PI))) (* -1/2 (* tau (* x (* (PI) (sin (PI)))))))) (/ (sin (PI)) (* x (PI)))) tau) |
(/.f32 tau tau) |
(/ (+ (* tau (+ (* -1 (cos (PI))) (* tau (+ (* -1/2 (* x (* (PI) (sin (PI))))) (* 1/6 (* tau (* (pow x 2) (* (pow (PI) 2) (cos (PI)))))))))) (/ (sin (PI)) (* x (PI)))) tau) |
(*.f32 (fma.f32 (fma.f32 (*.f32 tau (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 0 binary32)) tau #s(literal 1 binary32)) (/.f32 tau tau)) |
(* tau (pow (PI) 2)) |
(*.f32 (*.f32 (PI.f32) (PI.f32)) tau) |
(* tau (+ (* -1 (* x (PI))) (/ (PI) tau))) |
(*.f32 (fma.f32 (neg.f32 (PI.f32)) x (/.f32 (PI.f32) tau)) tau) |
(* -1 (* tau (+ (* -1 (/ (PI) tau)) (* x (PI))))) |
(*.f32 (neg.f32 tau) (fma.f32 (PI.f32) x (/.f32 (neg.f32 (PI.f32)) tau))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 326 |
| 0 | 100 | 308 |
| 1 | 331 | 303 |
| 2 | 1846 | 289 |
| 0 | 8295 | 287 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x)) |
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) |
(sin.f32 (*.f32 x (PI.f32))) |
(/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) |
(/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau) |
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau)) |
(*.f32 (PI.f32) x) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) |
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) |
(*.f32 (*.f32 x (PI.f32)) tau) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x))) |
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) |
(sin.f32 (*.f32 (PI.f32) x)) |
(sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(/.f32 (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) |
(fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32)) |
(*.f32 x (PI.f32)) |
(PI.f32) |
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) |
(*.f32 (PI.f32) (PI.f32)) |
(*.f32 #s(literal -1/6 binary32) x) |
(*.f32 tau (*.f32 (PI.f32) (PI.f32))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
| Outputs |
|---|
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x x)) (PI.f32))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x x)) tau)) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (neg.f32 x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 x))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) x) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x)) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) x)) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 tau x))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 tau (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x)) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x x))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) |
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x))) |
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32)))) |
(*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32)))) |
(*.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32)))) |
(*.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x))) |
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))) |
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32))))) |
(/.f32 (neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x x)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 tau (PI.f32)))) (neg.f32 (PI.f32))) |
(/.f32 (neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x x)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (PI.f32)))) (neg.f32 tau)) |
(/.f32 (neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x x)) (sin.f32 (*.f32 (PI.f32) x))) tau)) (neg.f32 (*.f32 (PI.f32) (PI.f32)))) |
(/.f32 (neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) x)) (neg.f32 x)) |
(/.f32 (neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (neg.f32 x))) (neg.f32 (neg.f32 x))) |
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))) (neg.f32 x)) |
(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))) (*.f32 x x)) |
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x x)))) (neg.f32 (*.f32 (PI.f32) (PI.f32)))) |
(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x x)))) (neg.f32 (*.f32 (neg.f32 tau) (*.f32 (PI.f32) (PI.f32))))) |
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau))) (neg.f32 (*.f32 (PI.f32) (PI.f32)))) |
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x x)) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))) (neg.f32 (*.f32 (neg.f32 tau) (*.f32 (PI.f32) (PI.f32))))) |
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x))) (neg.f32 x)) |
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))))) (*.f32 x x)) |
(/.f32 (neg.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 x x)) (sin.f32 (*.f32 (PI.f32) x))))) (neg.f32 (*.f32 (neg.f32 tau) (*.f32 (PI.f32) (PI.f32))))) |
(/.f32 (neg.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))))) (*.f32 x x)) |
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau))) (neg.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x))) |
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (sin.f32 (fma.f32 (PI.f32) x (PI.f32))))) (neg.f32 (*.f32 x (*.f32 (neg.f32 tau) (*.f32 (PI.f32) (PI.f32)))))) |
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (neg.f32 x) tau) (*.f32 (PI.f32) (PI.f32)))) |
(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau))) (neg.f32 (*.f32 (*.f32 (neg.f32 x) x) (*.f32 (PI.f32) (PI.f32))))) |
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x))) (neg.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x))) |
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))))) (neg.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (neg.f32 x) x)))) |
(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x))) (neg.f32 (*.f32 (*.f32 (neg.f32 tau) (*.f32 (PI.f32) (PI.f32))) x))) |
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau))) (neg.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)))) |
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x))) (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) x))) |
(/.f32 (neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32)))) (*.f32 tau x))) (neg.f32 (PI.f32))) |
(/.f32 (neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32)))) tau)) (*.f32 (neg.f32 (PI.f32)) x)) |
(/.f32 (neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32)))) (*.f32 (PI.f32) x))) (neg.f32 tau)) |
(/.f32 (neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32)))) (PI.f32))) (*.f32 (neg.f32 x) tau)) |
(/.f32 (neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32)))) x)) (neg.f32 (*.f32 tau (PI.f32)))) |
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 tau x))) (neg.f32 (PI.f32))) |
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) (neg.f32 tau)) |
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) (PI.f32))) (*.f32 (neg.f32 x) tau)) |
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) x)) (neg.f32 (*.f32 tau (PI.f32)))) |
(/.f32 (neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) x)) (neg.f32 (PI.f32))) |
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x))) (neg.f32 (PI.f32))) |
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) (neg.f32 tau)) |
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))) (neg.f32 (PI.f32))) |
(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))))) (neg.f32 (*.f32 (neg.f32 (PI.f32)) x))) |
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))))) (neg.f32 x)) |
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(*.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (sqrt.f32 (PI.f32))) |
(*.f32 (neg.f32 (PI.f32)) (neg.f32 (PI.f32))) |
(*.f32 (sqrt.f32 (PI.f32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) #s(literal 3/2 binary32))) |
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (fabs.f32 (*.f32 (cbrt.f32 (PI.f32)) (PI.f32)))) |
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (cbrt.f32 (PI.f32)) (PI.f32)) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (PI.f32))) |
(*.f32 (PI.f32) (PI.f32)) |
(cbrt.f32 (pow.f32 (PI.f32) #s(literal 6 binary32))) |
(sqrt.f32 (pow.f32 (PI.f32) #s(literal 4 binary32))) |
(pow.f32 (neg.f32 (neg.f32 (PI.f32))) #s(literal 2 binary32)) |
(pow.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 1/3 binary32)) |
(pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 2/3 binary32)) |
(pow.f32 (neg.f32 (PI.f32)) #s(literal 2 binary32)) |
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 4 binary32)) |
(pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 3 binary32)) |
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32)) |
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) |
(pow.f32 (PI.f32) #s(literal 2 binary32)) |
(fabs.f32 (*.f32 (PI.f32) (neg.f32 (PI.f32)))) |
(fabs.f32 (*.f32 (neg.f32 (PI.f32)) (PI.f32))) |
(fabs.f32 (neg.f32 (*.f32 (PI.f32) (PI.f32)))) |
(fabs.f32 (*.f32 (PI.f32) (PI.f32))) |
(+.f32 (cosh.f32 (log.f32 (*.f32 (PI.f32) (PI.f32)))) (sinh.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))))) |
(+.f32 (cosh.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)))) |
(exp.f32 (*.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))) |
(exp.f32 (*.f32 (log.f32 (neg.f32 (PI.f32))) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) |
(exp.f32 (*.f32 (log.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal 3 binary32))) |
(exp.f32 (log.f32 (*.f32 (PI.f32) (PI.f32)))) |
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) |
(neg.f32 (*.f32 (PI.f32) (neg.f32 (PI.f32)))) |
(neg.f32 (*.f32 (neg.f32 (PI.f32)) (PI.f32))) |
(*.f32 #s(literal -1/6 binary32) x) |
(*.f32 x #s(literal -1/6 binary32)) |
(log.f32 (pow.f32 (exp.f32 (neg.f32 (PI.f32))) (*.f32 tau (neg.f32 (PI.f32))))) |
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) tau) (PI.f32))) |
(*.f32 (*.f32 (*.f32 tau (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) |
(*.f32 (*.f32 (*.f32 tau (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))) |
(*.f32 (*.f32 tau (neg.f32 (PI.f32))) (neg.f32 (PI.f32))) |
(*.f32 (neg.f32 (PI.f32)) (*.f32 (neg.f32 (PI.f32)) tau)) |
(*.f32 (*.f32 tau (PI.f32)) (PI.f32)) |
(*.f32 (*.f32 (PI.f32) (PI.f32)) tau) |
(*.f32 tau (*.f32 (PI.f32) (PI.f32))) |
(*.f32 (PI.f32) (*.f32 tau (PI.f32))) |
(/.f32 (neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sqrt.f32 (PI.f32)))) (neg.f32 (sqrt.f32 (PI.f32)))) |
(/.f32 (neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (neg.f32 (cbrt.f32 (PI.f32)))) |
(/.f32 (neg.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))) (neg.f32 (neg.f32 (PI.f32)))) |
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) (neg.f32 x)) |
(/.f32 (neg.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32)))) (neg.f32 (neg.f32 (*.f32 (neg.f32 (PI.f32)) x)))) |
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) |
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))) |
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) x) |
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (neg.f32 (PI.f32))) |
(/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (neg.f32 (*.f32 (neg.f32 (PI.f32)) x))) |
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (PI.f32)) |
(/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 (PI.f32)) x)) |
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) |
(neg.f32 (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x))) |
(neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (neg.f32 (PI.f32)) x))) |
Compiled 63 199 to 6 383 computations (89.9% saved)
63 alts after pruning (59 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 727 | 44 | 1 771 |
| Fresh | 15 | 15 | 30 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 745 | 63 | 1 808 |
| Status | Accuracy | Program |
|---|---|---|
| 85.9% | (/.f32 (/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (PI.f32)) (*.f32 tau x)) | |
| 85.7% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) tau) | |
| 97.7% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x)) | |
| 78.4% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (PI.f32))) | |
| 97.5% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (PI.f32))) | |
| ▶ | 97.9% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32)))) |
| ✓ | 97.9% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x)) |
| 75.8% | (/.f32 (*.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x))) | |
| 78.5% | (/.f32 (*.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (neg.f32 (*.f32 (*.f32 (neg.f32 x) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))) | |
| 81.5% | (/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)) (*.f32 (PI.f32) x))) | |
| 81.5% | (/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (neg.f32 x) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))) | |
| 71.0% | (/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) | |
| 77.8% | (/.f32 (*.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x)) | |
| 79.3% | (/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (neg.f32 tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) | |
| 81.4% | (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x))) | |
| 79.3% | (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x))) | |
| 79.2% | (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))) | |
| 80.9% | (/.f32 (*.f32 (cos.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32)))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x))) | |
| 71.4% | (/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* tau (* x (PI)))) (/.f32 #s(literal 1 binary32) tau)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x)) | |
| 79.7% | (/.f32 #s(approx (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (*.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x)) | |
| 71.0% | (*.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 tau (PI.f32))) (neg.f32 x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) | |
| 85.7% | (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) | |
| 86.2% | (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (PI.f32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) | |
| 86.1% | (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) | |
| 85.7% | (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (*.f32 tau (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) | |
| 68.5% | (*.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) | |
| 71.0% | (*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) | |
| 80.6% | (*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) | |
| 81.1% | (*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) x)) | |
| 76.0% | (*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (neg.f32 (*.f32 (neg.f32 (PI.f32)) x)))) | |
| 81.1% | (*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))) (*.f32 (*.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) | |
| 80.3% | (*.f32 (/.f32 (sin.f32 (*.f32 (fma.f32 (neg.f32 x) tau #s(literal 1 binary32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) | |
| ▶ | 85.5% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
| 79.9% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (cos (+ (* (PI) x) (/ (PI) -2))) (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1/2 binary32) x)))) (*.f32 x (PI.f32)))) | |
| 86.4% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))) | |
| 85.8% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau (PI.f32)) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) | |
| 85.8% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) | |
| 97.5% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) | |
| ▶ | 85.8% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
| 85.6% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) | |
| 86.4% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) | |
| 86.4% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) | |
| 86.1% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (PI.f32))) | |
| ▶ | 97.4% | (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32))) |
| ✓ | 81.5% | (*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
| 71.1% | (*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) | |
| 76.8% | (*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 x) tau #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) | |
| 80.6% | (*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) | |
| 65.1% | (*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) | |
| 65.2% | (*.f32 #s(approx (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/.f32 x x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) | |
| 81.4% | (*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) | |
| 86.2% | (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) | |
| 71.5% | (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) | |
| 80.4% | #s(approx (/ (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) | |
| 65.2% | #s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)) tau)) | |
| 80.4% | #s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) (/.f32 x x))) | |
| ▶ | 6.3% | #s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32)) |
| 80.4% | #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) | |
| 77.7% | #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (neg.f32 (*.f32 (neg.f32 tau) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) | |
| ✓ | 96.9% | #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) |
| 71.2% | #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) | |
| 85.5% | #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) | |
| ✓ | 64.4% | #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32)) |
Compiled 3 740 to 2 266 computations (39.4% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f32 (PI.f32) x) | |
| cost-diff | 0 | (sin.f32 (*.f32 (PI.f32) x)) | |
| cost-diff | 0 | (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x)) | |
| cost-diff | 0 | (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32))) | |
| cost-diff | 0 | (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) | |
| cost-diff | 0 | (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) | |
| cost-diff | 0 | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) | |
| cost-diff | 4 | (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) | |
| cost-diff | 0 | (*.f32 (*.f32 tau (PI.f32)) x) | |
| cost-diff | 0 | (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) | |
| cost-diff | 0 | (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) | |
| cost-diff | 0 | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) | |
| cost-diff | 0 | #s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32)) | |
| cost-diff | 0 | (sin.f32 (*.f32 x (PI.f32))) | |
| cost-diff | 0 | (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) | |
| cost-diff | 0 | (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) | |
| cost-diff | 0 | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32)))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 407 |
| 0 | 91 | 390 |
| 1 | 188 | 390 |
| 2 | 538 | 388 |
| 3 | 2084 | 388 |
| 4 | 5776 | 388 |
| 5 | 7833 | 388 |
| 0 | 8025 | 388 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(sin.f32 (*.f32 x (PI.f32))) |
(*.f32 x (PI.f32)) |
x |
(PI.f32) |
(sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) |
(*.f32 tau (*.f32 x (PI.f32))) |
tau |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32)) |
#s(literal 0 binary32) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) |
(sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) |
(*.f32 (*.f32 tau (PI.f32)) x) |
(*.f32 tau (PI.f32)) |
tau |
(PI.f32) |
x |
(*.f32 (*.f32 x (PI.f32)) tau) |
(*.f32 x (PI.f32)) |
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) |
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) |
(*.f32 (*.f32 #s(literal -1/6 binary32) x) x) |
(*.f32 #s(literal -1/6 binary32) x) |
#s(literal -1/6 binary32) |
(*.f32 (PI.f32) (PI.f32)) |
#s(literal 1 binary32) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) |
(sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) |
(*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) |
(*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) |
(*.f32 tau x) |
tau |
x |
(sqrt.f32 (PI.f32)) |
(PI.f32) |
(*.f32 (*.f32 x (PI.f32)) tau) |
(*.f32 x (PI.f32)) |
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) |
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) |
(*.f32 (*.f32 #s(literal -1/6 binary32) x) x) |
(*.f32 #s(literal -1/6 binary32) x) |
#s(literal -1/6 binary32) |
(*.f32 (PI.f32) (PI.f32)) |
#s(literal 1 binary32) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32))) |
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x)) |
(sin.f32 (*.f32 (PI.f32) x)) |
(*.f32 (PI.f32) x) |
(PI.f32) |
x |
(*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x) |
(*.f32 tau (*.f32 (PI.f32) x)) |
tau |
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32)) |
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) |
| Outputs |
|---|
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) x))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) |
(sin.f32 (*.f32 x (PI.f32))) |
(sin.f32 (*.f32 (PI.f32) x)) |
(*.f32 x (PI.f32)) |
(*.f32 (PI.f32) x) |
x |
(PI.f32) |
(sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) |
(sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) |
(*.f32 tau (*.f32 x (PI.f32))) |
(*.f32 (*.f32 tau (PI.f32)) x) |
tau |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32)) |
#s(literal 0 binary32) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) #s(literal 1 binary32))) (*.f32 (*.f32 tau (PI.f32)) x)) (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x))) |
(/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) |
(/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 tau (PI.f32)) x)) |
(sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) |
(*.f32 (*.f32 tau (PI.f32)) x) |
(*.f32 tau (PI.f32)) |
tau |
(PI.f32) |
x |
(*.f32 (*.f32 x (PI.f32)) tau) |
(*.f32 (*.f32 tau (PI.f32)) x) |
(*.f32 x (PI.f32)) |
(*.f32 (PI.f32) x) |
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) |
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) #s(literal 1 binary32))) |
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) |
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) #s(literal 1 binary32)) |
(*.f32 (*.f32 #s(literal -1/6 binary32) x) x) |
(*.f32 #s(literal -1/6 binary32) x) |
#s(literal -1/6 binary32) |
(*.f32 (PI.f32) (PI.f32)) |
#s(literal 1 binary32) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) #s(literal 1 binary32))) (*.f32 (*.f32 tau (PI.f32)) x)) (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x))) |
(/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) |
(/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 tau (PI.f32)) x)) |
(sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) |
(sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) |
(*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) |
(*.f32 (*.f32 tau (PI.f32)) x) |
(*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) |
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) x) |
(*.f32 tau x) |
tau |
x |
(sqrt.f32 (PI.f32)) |
(PI.f32) |
(*.f32 (*.f32 x (PI.f32)) tau) |
(*.f32 (*.f32 tau (PI.f32)) x) |
(*.f32 x (PI.f32)) |
(*.f32 (PI.f32) x) |
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) |
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) #s(literal 1 binary32))) |
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) |
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) #s(literal 1 binary32)) |
(*.f32 (*.f32 #s(literal -1/6 binary32) x) x) |
(*.f32 #s(literal -1/6 binary32) x) |
#s(literal -1/6 binary32) |
(*.f32 (PI.f32) (PI.f32)) |
#s(literal 1 binary32) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x x) (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (PI.f32)))) |
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x)) |
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)) |
(sin.f32 (*.f32 (PI.f32) x)) |
(*.f32 (PI.f32) x) |
(PI.f32) |
x |
(*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x) |
(*.f32 (*.f32 (*.f32 tau (PI.f32)) x) x) |
(*.f32 tau (*.f32 (PI.f32) x)) |
(*.f32 (*.f32 tau (PI.f32)) x) |
tau |
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32)) |
(/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (PI.f32)) |
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) |
(sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.34765625 | (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32)) | |
| accuracy | 0.3671875 | (*.f32 (PI.f32) x) | |
| accuracy | 0.40138627930532605 | (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x)) | |
| accuracy | 0.4498825195368841 | (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32))) | |
| accuracy | 0.3951950195368841 | (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) | |
| accuracy | 0.40462875976844204 | (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) | |
| accuracy | 1.0 | (*.f32 (PI.f32) (PI.f32)) | |
| accuracy | 4.149036665181754 | #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) | |
| accuracy | 0.359375 | (*.f32 #s(literal -1/6 binary32) x) | |
| accuracy | 0.3671875 | (*.f32 x (PI.f32)) | |
| accuracy | 1.0 | (*.f32 (PI.f32) (PI.f32)) | |
| accuracy | 4.149036665181754 | #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) | |
| accuracy | 29.98286225527237 | #s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32)) | |
| accuracy | 0.2730649789908912 | (sin.f32 (*.f32 x (PI.f32))) | |
| accuracy | 0.3671875 | (*.f32 x (PI.f32)) | |
| accuracy | 0.4010925781475362 | (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) | |
| accuracy | 0.44664003907376815 | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32)))) |
| 98.0ms | 256× | 0 | valid |
Compiled 365 to 46 computations (87.4% saved)
ival-mult: 34.0ms (43.2% of total)ival-sin: 20.0ms (25.4% of total)ival-div: 9.0ms (11.4% of total)ival-sinu: 4.0ms (5.1% of total)const: 4.0ms (5.1% of total)ival-add: 2.0ms (2.5% of total)ival-sqrt: 2.0ms (2.5% of total)ival-pi: 1.0ms (1.3% of total)ival-neg: 1.0ms (1.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(sin.f32 (*.f32 x (PI.f32))) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32)) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) |
(sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) |
(*.f32 (*.f32 tau (PI.f32)) x) |
(*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) |
(sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32))) |
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x)) |
(sin.f32 (*.f32 (PI.f32) x)) |
(*.f32 (PI.f32) x) |
(*.f32 x (PI.f32)) |
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) |
(*.f32 (PI.f32) (PI.f32)) |
(*.f32 #s(literal -1/6 binary32) x) |
(*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) |
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32)) |
| Outputs |
|---|
1 |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6)))))))))))))) |
(* tau (* x (PI))) |
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3))))))) |
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/36 (* (pow tau 3) (pow (PI) 5))))))))))) |
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 7))) (+ (* -1/5040 (* tau (pow (PI) 7))) (* -1/5040 (* (pow tau 7) (pow (PI) 7)))))))))))))))) |
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4))))))) |
(* x (PI)) |
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))) |
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5))))))) |
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5)))))))) |
(/ (sin (PI)) (* tau (* x (PI)))) |
(/ (+ (* -1 (* x (cos (PI)))) (/ (sin (PI)) (* tau (PI)))) x) |
(/ (+ (* x (+ (* -1 (cos (PI))) (* x (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (* -1/6 (/ (* (PI) (sin (PI))) tau)))))) (/ (sin (PI)) (* tau (PI)))) x) |
(/ (+ (* x (+ (* -1 (cos (PI))) (* x (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (+ (* -1/6 (/ (* (PI) (sin (PI))) tau)) (* x (+ (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (PI))))) (* 1/6 (* (pow (PI) 2) (cos (PI))))))))))) (/ (sin (PI)) (* tau (PI)))) x) |
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4))))))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4)))))))) |
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI)))) |
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5)))))))) |
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5))))))))) |
(/ 1 (* tau x)) |
(/ (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau)) x) |
(/ (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau)) x) |
(/ (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau)) x) |
(* -1/6 x) |
(* (* tau x) (sqrt (PI))) |
(* tau x) |
(* x (+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2)))))) |
(* x (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4)))))))) |
(* x (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 5) (pow (PI) 4))))))))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) |
(/ (sin (* x (PI))) (* x (PI))) |
(sin (* x (PI))) |
(/ (* (sin (* x (PI))) (sin (+ (PI) (* -1 (* tau (* x (PI))))))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(/ (sin (* x (PI))) (* tau (* (pow x 2) (PI)))) |
(/ (sin (* tau (* x (PI)))) (PI)) |
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI)))) |
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI)))) |
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI)))) |
(* tau (sin (* x (PI)))) |
(* tau (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))) |
(* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))) |
(* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))) |
(/ (* (sin (PI)) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (+ (* -1 (/ (* tau (* (cos (PI)) (sin (* x (PI))))) (* x (PI)))) (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau) |
(/ (+ (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* -1/2 (* tau (* (sin (PI)) (sin (* x (PI)))))))) (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau) |
(/ (+ (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* -1/2 (* (sin (PI)) (sin (* x (PI))))) (* 1/6 (* tau (* x (* (PI) (* (cos (PI)) (sin (* x (PI)))))))))))) (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau) |
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))) |
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))))) |
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))) |
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))))))) |
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5))))))))) |
(* tau (+ x (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 2)))))) |
(* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 4)))))))) |
(* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 6)))) (* 1/120 (* (pow x 5) (pow (PI) 4))))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | tau | @ | inf | ((/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (* tau (* x (PI)))) (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (sin (* (* tau (PI)) x)) (* (* tau (PI)) x) (* (* (* tau x) (sqrt (PI))) (sqrt (PI))) (* (/ (sin (* (* (* tau x) (sqrt (PI))) (sqrt (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* (* tau x) (sqrt (PI))) (sqrt (PI)))) (* (* x (PI)) tau)) (sin (* (* (* tau x) (sqrt (PI))) (sqrt (PI)))) (* (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (sin (* (PI) x)) (* (PI) x) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (* (PI) (PI)) (* -1/6 x) (* (* tau x) (sqrt (PI))) (/ (sin (* tau (* (PI) x))) (PI))) |
| 5.0ms | x | @ | -inf | ((/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (* tau (* x (PI)))) (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (sin (* (* tau (PI)) x)) (* (* tau (PI)) x) (* (* (* tau x) (sqrt (PI))) (sqrt (PI))) (* (/ (sin (* (* (* tau x) (sqrt (PI))) (sqrt (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* (* tau x) (sqrt (PI))) (sqrt (PI)))) (* (* x (PI)) tau)) (sin (* (* (* tau x) (sqrt (PI))) (sqrt (PI)))) (* (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (sin (* (PI) x)) (* (PI) x) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (* (PI) (PI)) (* -1/6 x) (* (* tau x) (sqrt (PI))) (/ (sin (* tau (* (PI) x))) (PI))) |
| 5.0ms | tau | @ | -inf | ((/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (* tau (* x (PI)))) (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (sin (* (* tau (PI)) x)) (* (* tau (PI)) x) (* (* (* tau x) (sqrt (PI))) (sqrt (PI))) (* (/ (sin (* (* (* tau x) (sqrt (PI))) (sqrt (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* (* tau x) (sqrt (PI))) (sqrt (PI)))) (* (* x (PI)) tau)) (sin (* (* (* tau x) (sqrt (PI))) (sqrt (PI)))) (* (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (sin (* (PI) x)) (* (PI) x) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (* (PI) (PI)) (* -1/6 x) (* (* tau x) (sqrt (PI))) (/ (sin (* tau (* (PI) x))) (PI))) |
| 5.0ms | tau | @ | 0 | ((/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (* tau (* x (PI)))) (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (sin (* (* tau (PI)) x)) (* (* tau (PI)) x) (* (* (* tau x) (sqrt (PI))) (sqrt (PI))) (* (/ (sin (* (* (* tau x) (sqrt (PI))) (sqrt (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* (* tau x) (sqrt (PI))) (sqrt (PI)))) (* (* x (PI)) tau)) (sin (* (* (* tau x) (sqrt (PI))) (sqrt (PI)))) (* (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (sin (* (PI) x)) (* (PI) x) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (* (PI) (PI)) (* -1/6 x) (* (* tau x) (sqrt (PI))) (/ (sin (* tau (* (PI) x))) (PI))) |
| 5.0ms | x | @ | inf | ((/ (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (* tau (* x (PI)))) (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (/ (sin (* x (PI))) (* x (PI))) (sin (* x (PI))) (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (* (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (sin (* (* tau (PI)) x)) (* (* tau (PI)) x) (* (* (* tau x) (sqrt (PI))) (sqrt (PI))) (* (/ (sin (* (* (* tau x) (sqrt (PI))) (sqrt (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* (* (* tau x) (sqrt (PI))) (sqrt (PI)))) (* (* x (PI)) tau)) (sin (* (* (* tau x) (sqrt (PI))) (sqrt (PI)))) (* (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/ (sin (* tau (* (PI) x))) (PI))) (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (sin (* (PI) x)) (* (PI) x) (* x (PI)) (/ (sin (* x (PI))) (* x (PI))) (* (PI) (PI)) (* -1/6 x) (* (* tau x) (sqrt (PI))) (/ (sin (* tau (* (PI) x))) (PI))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 426 | 1694 |
| 1 | 1647 | 1532 |
| 2 | 7836 | 1528 |
| 0 | 8029 | 1424 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6)))))))))))))) |
(* tau (* x (PI))) |
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3))))))) |
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/36 (* (pow tau 3) (pow (PI) 5))))))))))) |
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 7))) (+ (* -1/5040 (* tau (pow (PI) 7))) (* -1/5040 (* (pow tau 7) (pow (PI) 7)))))))))))))))) |
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4))))))) |
(* x (PI)) |
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))) |
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5))))))) |
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5)))))))) |
(/ (sin (PI)) (* tau (* x (PI)))) |
(/ (+ (* -1 (* x (cos (PI)))) (/ (sin (PI)) (* tau (PI)))) x) |
(/ (+ (* x (+ (* -1 (cos (PI))) (* x (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (* -1/6 (/ (* (PI) (sin (PI))) tau)))))) (/ (sin (PI)) (* tau (PI)))) x) |
(/ (+ (* x (+ (* -1 (cos (PI))) (* x (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (+ (* -1/6 (/ (* (PI) (sin (PI))) tau)) (* x (+ (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (PI))))) (* 1/6 (* (pow (PI) 2) (cos (PI))))))))))) (/ (sin (PI)) (* tau (PI)))) x) |
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4))))))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4)))))))) |
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI)))) |
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5)))))))) |
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5))))))))) |
(/ 1 (* tau x)) |
(/ (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau)) x) |
(/ (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau)) x) |
(/ (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau)) x) |
(* -1/6 x) |
(* (* tau x) (sqrt (PI))) |
(* tau x) |
(* x (+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2)))))) |
(* x (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4)))))))) |
(* x (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 5) (pow (PI) 4))))))))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) |
(/ (sin (* x (PI))) (* x (PI))) |
(sin (* x (PI))) |
(/ (* (sin (* x (PI))) (sin (+ (PI) (* -1 (* tau (* x (PI))))))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(/ (sin (* x (PI))) (* tau (* (pow x 2) (PI)))) |
(/ (sin (* tau (* x (PI)))) (PI)) |
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI)))) |
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI)))) |
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI)))) |
(* tau (sin (* x (PI)))) |
(* tau (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))) |
(* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))) |
(* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))) |
(/ (* (sin (PI)) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (+ (* -1 (/ (* tau (* (cos (PI)) (sin (* x (PI))))) (* x (PI)))) (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau) |
(/ (+ (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* -1/2 (* tau (* (sin (PI)) (sin (* x (PI)))))))) (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau) |
(/ (+ (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* -1/2 (* (sin (PI)) (sin (* x (PI))))) (* 1/6 (* tau (* x (* (PI) (* (cos (PI)) (sin (* x (PI)))))))))))) (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau) |
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))) |
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))))) |
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))) |
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))))))) |
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5))))))))) |
(* tau (+ x (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 2)))))) |
(* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 4)))))))) |
(* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 6)))) (* 1/120 (* (pow x 5) (pow (PI) 4))))))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary32) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))) |
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 tau tau) #s(literal 1/120 binary32)))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32)))) (*.f32 x x) #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6)))))))))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/720 binary32) (*.f32 tau tau) (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32) #s(literal -1/5040 binary32)))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 tau tau) #s(literal 1/120 binary32))))) (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32)))) (*.f32 x x) #s(literal 1 binary32)) |
(* tau (* x (PI))) |
(*.f32 (*.f32 (PI.f32) x) tau) |
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3))))))) |
(*.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (+.f32 tau (pow.f32 tau #s(literal 3 binary32)))) (*.f32 (PI.f32) tau)) x) |
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/36 (* (pow tau 3) (pow (PI) 5))))))))))) |
(*.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (+.f32 tau (pow.f32 tau #s(literal 3 binary32)))) #s(literal -1/6 binary32) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) tau) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 (pow.f32 tau #s(literal 3 binary32)) #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) #s(literal 1/120 binary32))))) (*.f32 x x))) (*.f32 x x) (*.f32 (PI.f32) tau)) x) |
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 7))) (+ (* -1/5040 (* tau (pow (PI) 7))) (* -1/5040 (* (pow tau 7) (pow (PI) 7)))))))))))))))) |
(*.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (+.f32 tau (pow.f32 tau #s(literal 3 binary32)))) #s(literal -1/6 binary32) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) tau) (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (+.f32 tau (pow.f32 tau #s(literal 7 binary32)))) #s(literal -1/5040 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (fma.f32 (pow.f32 tau #s(literal 3 binary32)) #s(literal -1/720 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) #s(literal -1/720 binary32))))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 (pow.f32 tau #s(literal 3 binary32)) #s(literal 1/36 binary32) (*.f32 (pow.f32 tau #s(literal 5 binary32)) #s(literal 1/120 binary32)))))) (*.f32 x x))) (*.f32 x x) (*.f32 (PI.f32) tau)) x) |
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) |
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32)) x) x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)) |
(* x (PI)) |
(*.f32 (PI.f32) x) |
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))) |
(fma.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32) (*.f32 (PI.f32) x)) |
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5))))))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32)) x) x (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 (PI.f32) x)) |
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5)))))))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 (PI.f32) x)) |
(/ (sin (PI)) (* tau (* x (PI)))) |
#s(literal 0 binary32) |
(/ (+ (* -1 (* x (cos (PI)))) (/ (sin (PI)) (* tau (PI)))) x) |
(/.f32 (+.f32 #s(literal 0 binary32) x) x) |
(/ (+ (* x (+ (* -1 (cos (PI))) (* x (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (* -1/6 (/ (* (PI) (sin (PI))) tau)))))) (/ (sin (PI)) (* tau (PI)))) x) |
(/.f32 (fma.f32 (fma.f32 #s(literal 0 binary32) x #s(literal 1 binary32)) x #s(literal 0 binary32)) x) |
(/ (+ (* x (+ (* -1 (cos (PI))) (* x (+ (* -1/2 (* tau (* (PI) (sin (PI))))) (+ (* -1/6 (/ (* (PI) (sin (PI))) tau)) (* x (+ (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (cos (PI))))) (* 1/6 (* (pow (PI) 2) (cos (PI))))))))))) (/ (sin (PI)) (* tau (PI)))) x) |
(/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) x #s(literal 0 binary32)) x) |
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))) |
(fma.f32 (*.f32 tau (*.f32 (*.f32 tau x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4))))))) |
(fma.f32 (fma.f32 (*.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) x) x) (*.f32 (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) (*.f32 x x) #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4)))))))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) (*.f32 (fma.f32 (*.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) x) x))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)) |
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI)))) |
(fma.f32 (*.f32 (pow.f32 tau #s(literal 3 binary32)) #s(literal -1/6 binary32)) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (*.f32 (*.f32 (PI.f32) x) tau)) |
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5)))))))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 (pow.f32 tau #s(literal 5 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) x) x) (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 (*.f32 (PI.f32) x) tau)) |
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5))))))))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (fma.f32 (*.f32 (pow.f32 tau #s(literal 5 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (*.f32 (pow.f32 tau #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) x) x))) (*.f32 x x) (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 (*.f32 (PI.f32) x) tau)) |
(/ 1 (* tau x)) |
(/.f32 (/.f32 #s(literal 1 binary32) tau) x) |
(/ (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau)) x) |
(/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) tau) x) |
(/ (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau)) x) |
(/.f32 (/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32)) x) x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32)) tau) x) |
(/ (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau)) x) |
(/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 x x))) tau) (*.f32 x x) (/.f32 #s(literal 1 binary32) tau)) x) |
(* -1/6 x) |
(*.f32 #s(literal -1/6 binary32) x) |
(* (* tau x) (sqrt (PI))) |
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) x) |
(* tau x) |
(*.f32 tau x) |
(* x (+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2)))))) |
(*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 tau #s(literal 3 binary32)) x) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) tau) x) |
(* x (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4)))))))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 (pow.f32 tau #s(literal 3 binary32)) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) (*.f32 (*.f32 (pow.f32 tau #s(literal 5 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) x) x))) (*.f32 tau x)) |
(* x (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 5) (pow (PI) 4))))))))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 (pow.f32 tau #s(literal 3 binary32)) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) (*.f32 (fma.f32 (*.f32 (pow.f32 tau #s(literal 5 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (pow.f32 tau #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) x) x))) (*.f32 x x))) (*.f32 tau x)) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 tau x) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))) |
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) |
(sin (* x (PI))) |
(sin.f32 (*.f32 (PI.f32) x)) |
(/ (* (sin (* x (PI))) (sin (+ (PI) (* -1 (* tau (* x (PI))))))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(*.f32 (/.f32 (sin.f32 (-.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau))) (*.f32 (*.f32 tau x) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (PI.f32)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) |
(sin (* tau (* x (PI)))) |
(sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) |
(/ (sin (* x (PI))) (* tau (* (pow x 2) (PI)))) |
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau)) |
(/ (sin (* tau (* x (PI)))) (PI)) |
(/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (PI.f32)) |
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI)))) |
(fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) |
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI)))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) |
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI)))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32))) (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 x #s(literal 5 binary32))))) (*.f32 tau tau))) (*.f32 tau tau) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) |
(* tau (sin (* x (PI)))) |
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) |
(* tau (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (*.f32 tau x) x))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x))) tau) |
(* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))) |
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 x #s(literal 4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))))) (*.f32 tau tau) (sin.f32 (*.f32 (PI.f32) x))) tau) |
(* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))) |
(*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (fma.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/120 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (sin.f32 (*.f32 (PI.f32) x))) (pow.f32 x #s(literal 6 binary32))))) (*.f32 tau tau))) (*.f32 tau tau) (sin.f32 (*.f32 (PI.f32) x))) tau) |
(/ (* (sin (PI)) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
#s(literal 0 binary32) |
(/ (+ (* -1 (/ (* tau (* (cos (PI)) (sin (* x (PI))))) (* x (PI)))) (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau) |
(/.f32 (fma.f32 (neg.f32 tau) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)) #s(literal 0 binary32)) tau) |
(/ (+ (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* -1/2 (* tau (* (sin (PI)) (sin (* x (PI)))))))) (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau) |
(/.f32 (fma.f32 (neg.f32 tau) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)) #s(literal 0 binary32)) tau) |
(/ (+ (* tau (+ (* -1 (/ (* (cos (PI)) (sin (* x (PI)))) (* x (PI)))) (* tau (+ (* -1/2 (* (sin (PI)) (sin (* x (PI))))) (* 1/6 (* tau (* x (* (PI) (* (cos (PI)) (sin (* x (PI)))))))))))) (/ (* (sin (PI)) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) tau) |
(/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)) #s(literal 0 binary32)) tau (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))) tau #s(literal 0 binary32)) tau) |
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (PI.f32)) (PI.f32) (*.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) tau) tau))) (*.f32 tau tau) #s(literal 1 binary32)) |
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (PI.f32)) (PI.f32) (*.f32 (fma.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (*.f32 tau tau))) (*.f32 tau tau) #s(literal 1 binary32)) |
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))) |
(*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32)) tau) tau (*.f32 (PI.f32) x)) tau) |
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 tau #s(literal 3 binary32)) (*.f32 (*.f32 (PI.f32) x) tau)) |
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5))))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 (*.f32 (pow.f32 x #s(literal 5 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 tau tau) (*.f32 (pow.f32 (*.f32 (PI.f32) x) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 tau #s(literal 3 binary32)) (*.f32 (*.f32 (PI.f32) x) tau)) |
(* tau (+ x (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 2)))))) |
(*.f32 (fma.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) tau) x) tau) |
(* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 4)))))))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (pow.f32 tau #s(literal 3 binary32)) (*.f32 tau x)) |
(* tau (+ x (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 6)))) (* 1/120 (* (pow x 5) (pow (PI) 4))))))))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 (*.f32 (pow.f32 x #s(literal 5 binary32)) #s(literal 1/120 binary32)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 tau tau))) (pow.f32 tau #s(literal 3 binary32)) (*.f32 tau x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 282 |
| 0 | 91 | 265 |
| 1 | 264 | 263 |
| 2 | 1403 | 254 |
| 0 | 8336 | 251 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(sin.f32 (*.f32 x (PI.f32))) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32)) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) |
(sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) |
(*.f32 (*.f32 tau (PI.f32)) x) |
(*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) |
(sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32))) |
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x)) |
(sin.f32 (*.f32 (PI.f32) x)) |
(*.f32 (PI.f32) x) |
(*.f32 x (PI.f32)) |
#s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) |
(*.f32 (PI.f32) (PI.f32)) |
(*.f32 #s(literal -1/6 binary32) x) |
(*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) |
(/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32)) |
| Outputs |
|---|
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (PI.f32))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sqrt.f32 (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) x))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sqrt.f32 (PI.f32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) x) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau (PI.f32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau)) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 tau (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x)) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) x) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (sqrt.f32 (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) x)) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) tau) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (*.f32 (*.f32 x x) (PI.f32)))) |
(*.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau x) (PI.f32))) x) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (cbrt.f32 (PI.f32)))) |
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(*.f32 (neg.f32 (PI.f32)) (neg.f32 (PI.f32))) |
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (fabs.f32 (*.f32 (cbrt.f32 (PI.f32)) (PI.f32)))) |
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (cbrt.f32 (PI.f32)) (PI.f32)) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (PI.f32))) |
(*.f32 (sqrt.f32 (PI.f32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) #s(literal 3/2 binary32))) |
(*.f32 (PI.f32) (PI.f32)) |
(cbrt.f32 (pow.f32 (PI.f32) #s(literal 6 binary32))) |
(sqrt.f32 (pow.f32 (PI.f32) #s(literal 4 binary32))) |
(fma.f32 (cosh.f32 (log.f32 (PI.f32))) (PI.f32) (*.f32 (sinh.f32 (log.f32 (PI.f32))) (PI.f32))) |
(fma.f32 (PI.f32) (cosh.f32 (log.f32 (PI.f32))) (*.f32 (PI.f32) (sinh.f32 (log.f32 (PI.f32))))) |
(pow.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/2 binary32)) |
(pow.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 1/3 binary32)) |
(pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 2/3 binary32)) |
(pow.f32 (neg.f32 (PI.f32)) #s(literal 2 binary32)) |
(pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 3 binary32)) |
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32)) |
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 4 binary32)) |
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) |
(pow.f32 (PI.f32) #s(literal 2 binary32)) |
(fabs.f32 (*.f32 (neg.f32 (PI.f32)) (PI.f32))) |
(fabs.f32 (*.f32 (PI.f32) (PI.f32))) |
(+.f32 (*.f32 (cosh.f32 (log.f32 (PI.f32))) (PI.f32)) (*.f32 (sinh.f32 (log.f32 (PI.f32))) (PI.f32))) |
(+.f32 (*.f32 (PI.f32) (cosh.f32 (log.f32 (PI.f32)))) (*.f32 (PI.f32) (sinh.f32 (log.f32 (PI.f32))))) |
(+.f32 (cosh.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)))) |
(exp.f32 (*.f32 (log.f32 (neg.f32 (PI.f32))) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32))) |
(exp.f32 (*.f32 (log.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal 3 binary32))) |
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) |
(neg.f32 (*.f32 (neg.f32 (PI.f32)) (PI.f32))) |
(*.f32 #s(literal -1/6 binary32) x) |
(*.f32 x #s(literal -1/6 binary32)) |
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) x) |
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) x) tau) |
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 tau x)) |
(*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) |
(*.f32 tau (*.f32 (sqrt.f32 (PI.f32)) x)) |
(*.f32 x (*.f32 tau (sqrt.f32 (PI.f32)))) |
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (neg.f32 (cbrt.f32 (PI.f32)))) |
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sqrt.f32 (PI.f32)))) (neg.f32 (sqrt.f32 (PI.f32)))) |
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))) |
(/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) |
(/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (neg.f32 (PI.f32))) |
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) |
(-.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(literal -1 binary32)) (PI.f32)) (/.f32 (*.f32 (cos.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(literal 0 binary32)) (PI.f32))) |
(+.f32 (/.f32 (*.f32 (cos.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(literal 0 binary32)) (PI.f32)) (/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(literal -1 binary32)) (PI.f32))) |
(+.f32 (/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (neg.f32 (PI.f32))) (/.f32 (*.f32 (cos.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(literal 0 binary32)) (neg.f32 (PI.f32)))) |
(+.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(literal -1 binary32)) (PI.f32)) (/.f32 (*.f32 (cos.f32 (*.f32 (*.f32 tau x) (PI.f32))) #s(literal 0 binary32)) (PI.f32))) |
(neg.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (neg.f32 (PI.f32)))) |
Compiled 19 481 to 1 967 computations (89.9% saved)
70 alts after pruning (62 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 545 | 20 | 565 |
| Fresh | 12 | 42 | 54 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 558 | 70 | 628 |
| Status | Accuracy | Program |
|---|---|---|
| 85.7% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) tau) | |
| 97.7% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x)) | |
| 78.4% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x) (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (PI.f32))) | |
| ✓ | 97.9% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32)))) |
| ✓ | 97.9% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x)) |
| 75.8% | (/.f32 (*.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x))) | |
| 78.5% | (/.f32 (*.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (neg.f32 (*.f32 (*.f32 (neg.f32 x) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))) | |
| 81.5% | (/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)) (*.f32 (PI.f32) x))) | |
| 81.5% | (/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (neg.f32 x) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))) | |
| 77.8% | (/.f32 (*.f32 (sin.f32 (fma.f32 (neg.f32 x) (PI.f32) (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x)) | |
| 79.3% | (/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (neg.f32 tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) | |
| 81.4% | (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x))) | |
| 79.3% | (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x))) | |
| 79.2% | (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))) | |
| 80.9% | (/.f32 (*.f32 (cos.f32 (fma.f32 x (PI.f32) (/.f32 (PI.f32) #s(literal -2 binary32)))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x))) | |
| 86.2% | (/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32)))) | |
| 86.2% | (/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 tau x) (PI.f32))) | |
| 71.4% | (/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* tau (* x (PI)))) (/.f32 #s(literal 1 binary32) tau)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x)) | |
| 65.2% | (/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 tau (*.f32 x (PI.f32)))) | |
| 79.7% | (/.f32 #s(approx (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (*.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x)) | |
| 71.0% | (*.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (PI.f32) x)) (neg.f32 tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) | |
| 71.0% | (*.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 tau (PI.f32))) (neg.f32 x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) | |
| 85.7% | (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) | |
| 86.1% | (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) | |
| 72.1% | (*.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (neg.f32 (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) | |
| 68.5% | (*.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) | |
| 71.0% | (*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) | |
| 80.6% | (*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) | |
| 81.1% | (*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (PI.f32)) x)) | |
| 76.0% | (*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (neg.f32 (*.f32 (neg.f32 (PI.f32)) x)))) | |
| 81.1% | (*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (PI.f32)) (PI.f32))) (*.f32 (*.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) | |
| 65.7% | (*.f32 (/.f32 (sin.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) | |
| 68.1% | (*.f32 (/.f32 (sin.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) | |
| 80.3% | (*.f32 (/.f32 (sin.f32 (*.f32 (fma.f32 (neg.f32 x) tau #s(literal 1 binary32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) | |
| 69.5% | (*.f32 (/.f32 (sin.f32 (*.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) | |
| 85.7% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) (*.f32 (sqrt.f32 (PI.f32)) x))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) | |
| 79.9% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(approx (cos (+ (* (PI) x) (/ (PI) -2))) (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal -1/2 binary32) x)))) (*.f32 x (PI.f32)))) | |
| 86.4% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))) | |
| 85.8% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau (PI.f32)) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) | |
| 85.8% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) | |
| 97.5% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) | |
| ✓ | 85.8% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
| 85.6% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) | |
| 86.4% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) | |
| 85.6% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) x)) | |
| ✓ | 97.4% | (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32))) |
| 67.6% | (*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) | |
| ✓ | 81.5% | (*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
| 71.1% | (*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) | |
| 76.8% | (*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 x) tau #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) | |
| 66.7% | (*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) | |
| 69.1% | (*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) | |
| 65.1% | (*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) | |
| 97.2% | (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (*.f32 (*.f32 x (*.f32 tau x)) (PI.f32)))) | |
| 81.4% | (*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) | |
| 81.4% | (*.f32 #s(approx (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (fma.f32 (*.f32 tau (*.f32 (*.f32 tau x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) | |
| 71.3% | (*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32))) | |
| 71.5% | (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) | |
| 80.4% | #s(approx (/ (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) | |
| 80.0% | #s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) x #s(literal 0 binary32)) x)) | |
| 65.2% | #s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)) tau)) | |
| 54.6% | #s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (neg.f32 tau) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)) #s(literal 0 binary32)) tau)) | |
| 80.4% | #s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) (/.f32 x x))) | |
| ✓ | 6.3% | #s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32)) |
| 80.4% | #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) | |
| 77.7% | #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) x (PI.f32))) (neg.f32 (*.f32 (neg.f32 tau) (*.f32 (PI.f32) (PI.f32))))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) | |
| ✓ | 96.9% | #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) |
| 71.2% | #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) | |
| 85.5% | #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) | |
| ✓ | 64.4% | #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32)) |
Compiled 5 886 to 1 891 computations (67.9% saved)
| Inputs |
|---|
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32)) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32)) |
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau)) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (/ (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) (/.f32 x x))) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) x #s(literal 0 binary32)) x)) |
(*.f32 #s(approx (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (fma.f32 (*.f32 tau (*.f32 (*.f32 tau x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) tau) (*.f32 #s(literal 0 binary32) (PI.f32)) (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32))) x (*.f32 (/.f32 (*.f32 #s(literal 0 binary32) (PI.f32)) tau) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x)) |
(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 tau (*.f32 x (PI.f32)))) |
(*.f32 #s(approx (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/.f32 x x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)) tau)) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (neg.f32 tau) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)) #s(literal 0 binary32)) tau)) |
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) |
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* tau (* x (PI)))) (/.f32 #s(literal 1 binary32) tau)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x)) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) |
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32))) |
(/.f32 #s(approx (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (*.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x)) |
(*.f32 #s(approx (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau (PI.f32)) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) |
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(*.f32 (/.f32 (sin.f32 (+.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (neg.f32 (+.f32 (fma.f32 (PI.f32) x (/.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 (PI.f32) #s(literal -2 binary32))))) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) (PI.f32) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 x x))) (*.f32 x x) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (neg.f32 x) (*.f32 tau (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 #s(approx (sin (* (PI) x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (PI.f32)) x))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
| Outputs |
|---|
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
4 calls:
| 52.0ms | tau |
| 35.0ms | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
| 33.0ms | x |
| 32.0ms | (*.f32 x (PI.f32)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 1 | (*.f32 x (PI.f32)) |
| 98.1% | 1 | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
| 98.1% | 1 | x |
| 98.1% | 1 | tau |
Compiled 26 to 18 computations (30.8% saved)
| Inputs |
|---|
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32)) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32)) |
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau)) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (/ (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) (/.f32 x x))) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) x #s(literal 0 binary32)) x)) |
(*.f32 #s(approx (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (fma.f32 (*.f32 tau (*.f32 (*.f32 tau x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) tau) (*.f32 #s(literal 0 binary32) (PI.f32)) (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32))) x (*.f32 (/.f32 (*.f32 #s(literal 0 binary32) (PI.f32)) tau) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x)) |
(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 tau (*.f32 x (PI.f32)))) |
(*.f32 #s(approx (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/.f32 x x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)) tau)) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (neg.f32 tau) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)) #s(literal 0 binary32)) tau)) |
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) |
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* tau (* x (PI)))) (/.f32 #s(literal 1 binary32) tau)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x)) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) |
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32))) |
(/.f32 #s(approx (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (*.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x)) |
(*.f32 #s(approx (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau (PI.f32)) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) |
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (neg.f32 (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (*.f32 tau (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (PI.f32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 tau (PI.f32))) (neg.f32 x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (PI.f32) x)) (neg.f32 tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) #s(approx (/ (sin (* tau (* (PI) x))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32)) tau))) |
(*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) (*.f32 (sqrt.f32 (PI.f32)) x))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 tau x) (PI.f32))) |
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (PI.f32))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) x)) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x))) |
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (neg.f32 tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) |
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (neg.f32 x) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))) |
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)) (*.f32 (PI.f32) x))) |
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) tau) |
(/.f32 (/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (PI.f32)) (*.f32 tau x)) |
(/.f32 (*.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x))) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) |
#s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) (PI.f32))))) |
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (*.f32 (*.f32 x (*.f32 tau x)) (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (*.f32 tau (*.f32 (PI.f32) x)) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
| Outputs |
|---|
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) |
4 calls:
| 23.0ms | tau |
| 22.0ms | x |
| 22.0ms | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
| 21.0ms | (*.f32 x (PI.f32)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 1 | (*.f32 x (PI.f32)) |
| 97.8% | 1 | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
| 97.8% | 1 | x |
| 97.8% | 1 | tau |
Compiled 26 to 18 computations (30.8% saved)
| Inputs |
|---|
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32)) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32)) |
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau)) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (/ (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) (/.f32 x x))) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) x #s(literal 0 binary32)) x)) |
(*.f32 #s(approx (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (fma.f32 (*.f32 tau (*.f32 (*.f32 tau x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) tau) (*.f32 #s(literal 0 binary32) (PI.f32)) (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32))) x (*.f32 (/.f32 (*.f32 #s(literal 0 binary32) (PI.f32)) tau) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x)) |
(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 tau (*.f32 x (PI.f32)))) |
(*.f32 #s(approx (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/.f32 x x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)) tau)) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (neg.f32 tau) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)) #s(literal 0 binary32)) tau)) |
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) |
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* tau (* x (PI)))) (/.f32 #s(literal 1 binary32) tau)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x)) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) |
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32))) |
(/.f32 #s(approx (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (*.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x)) |
(*.f32 #s(approx (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau (PI.f32)) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) |
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (neg.f32 (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (*.f32 tau (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (PI.f32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 tau (PI.f32))) (neg.f32 x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (PI.f32) x)) (neg.f32 tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) #s(approx (/ (sin (* tau (* (PI) x))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32)) tau))) |
(*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) (*.f32 (sqrt.f32 (PI.f32)) x))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 tau x) (PI.f32))) |
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (PI.f32))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) x)) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x))) |
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (neg.f32 tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) |
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (neg.f32 x) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))) |
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)) (*.f32 (PI.f32) x))) |
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) tau) |
(/.f32 (/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (PI.f32)) (*.f32 tau x)) |
(/.f32 (*.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x))) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) |
#s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) (PI.f32))))) |
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (*.f32 (*.f32 x (*.f32 tau x)) (PI.f32)))) |
| Outputs |
|---|
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (*.f32 (*.f32 x (*.f32 tau x)) (PI.f32)))) |
4 calls:
| 25.0ms | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
| 23.0ms | (*.f32 x (PI.f32)) |
| 20.0ms | x |
| 20.0ms | tau |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 1 | (*.f32 x (PI.f32)) |
| 97.2% | 1 | x |
| 97.2% | 1 | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
| 97.2% | 1 | tau |
Compiled 26 to 18 computations (30.8% saved)
| Inputs |
|---|
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32)) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32)) |
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau)) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (/ (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) (/.f32 x x))) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) x #s(literal 0 binary32)) x)) |
(*.f32 #s(approx (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (fma.f32 (*.f32 tau (*.f32 (*.f32 tau x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) tau) (*.f32 #s(literal 0 binary32) (PI.f32)) (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32))) x (*.f32 (/.f32 (*.f32 #s(literal 0 binary32) (PI.f32)) tau) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x)) |
(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 tau (*.f32 x (PI.f32)))) |
(*.f32 #s(approx (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/.f32 x x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)) tau)) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (neg.f32 tau) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)) #s(literal 0 binary32)) tau)) |
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) |
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* tau (* x (PI)))) (/.f32 #s(literal 1 binary32) tau)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x)) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) |
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32))) |
(/.f32 #s(approx (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (*.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x)) |
(*.f32 #s(approx (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau (PI.f32)) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) |
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (neg.f32 (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (*.f32 tau (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (PI.f32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 tau (PI.f32))) (neg.f32 x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (PI.f32) x)) (neg.f32 tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) #s(approx (/ (sin (* tau (* (PI) x))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32)) tau))) |
(*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) (*.f32 (sqrt.f32 (PI.f32)) x))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 tau x) (PI.f32))) |
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (PI.f32))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) x)) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x))) |
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (neg.f32 tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) |
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (neg.f32 x) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))) |
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)) (*.f32 (PI.f32) x))) |
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) tau) |
(/.f32 (/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (PI.f32)) (*.f32 tau x)) |
(/.f32 (*.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x))) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) |
#s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) (PI.f32))))) |
| Outputs |
|---|
#s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) (PI.f32))))) |
4 calls:
| 22.0ms | x |
| 22.0ms | tau |
| 20.0ms | (*.f32 x (PI.f32)) |
| 19.0ms | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.1% | 1 | (*.f32 x (PI.f32)) |
| 97.1% | 1 | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
| 97.1% | 1 | x |
| 97.1% | 1 | tau |
Compiled 26 to 18 computations (30.8% saved)
| Inputs |
|---|
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32)) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32)) |
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau)) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (/ (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) (/.f32 x x))) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) x #s(literal 0 binary32)) x)) |
(*.f32 #s(approx (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (fma.f32 (*.f32 tau (*.f32 (*.f32 tau x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) tau) (*.f32 #s(literal 0 binary32) (PI.f32)) (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32))) x (*.f32 (/.f32 (*.f32 #s(literal 0 binary32) (PI.f32)) tau) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x)) |
(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 tau (*.f32 x (PI.f32)))) |
(*.f32 #s(approx (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/.f32 x x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)) tau)) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (neg.f32 tau) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)) #s(literal 0 binary32)) tau)) |
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) |
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* tau (* x (PI)))) (/.f32 #s(literal 1 binary32) tau)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x)) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) |
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32))) |
(/.f32 #s(approx (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (*.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x)) |
(*.f32 #s(approx (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau (PI.f32)) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) |
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (neg.f32 (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (*.f32 tau (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (PI.f32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 tau (PI.f32))) (neg.f32 x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (PI.f32) x)) (neg.f32 tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) #s(approx (/ (sin (* tau (* (PI) x))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32)) tau))) |
(*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) (*.f32 (sqrt.f32 (PI.f32)) x))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 tau x) (PI.f32))) |
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (PI.f32))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) x)) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x))) |
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (neg.f32 tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) |
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (neg.f32 x) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))) |
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)) (*.f32 (PI.f32) x))) |
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) tau) |
(/.f32 (/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (PI.f32)) (*.f32 tau x)) |
(/.f32 (*.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x))) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) |
| Outputs |
|---|
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) |
4 calls:
| 25.0ms | x |
| 25.0ms | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
| 21.0ms | tau |
| 17.0ms | (*.f32 x (PI.f32)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 1 | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
| 96.9% | 1 | (*.f32 x (PI.f32)) |
| 96.9% | 1 | x |
| 96.9% | 1 | tau |
Compiled 26 to 18 computations (30.8% saved)
| Inputs |
|---|
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32)) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32)) |
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau)) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (/ (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) (/.f32 x x))) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) x #s(literal 0 binary32)) x)) |
(*.f32 #s(approx (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (fma.f32 (*.f32 tau (*.f32 (*.f32 tau x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) tau) (*.f32 #s(literal 0 binary32) (PI.f32)) (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32))) x (*.f32 (/.f32 (*.f32 #s(literal 0 binary32) (PI.f32)) tau) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x)) |
(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 tau (*.f32 x (PI.f32)))) |
(*.f32 #s(approx (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/.f32 x x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)) tau)) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (neg.f32 tau) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)) #s(literal 0 binary32)) tau)) |
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) |
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* tau (* x (PI)))) (/.f32 #s(literal 1 binary32) tau)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x)) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) |
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32))) |
(/.f32 #s(approx (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (*.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x)) |
(*.f32 #s(approx (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau (PI.f32)) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) |
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (neg.f32 (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (*.f32 tau (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (PI.f32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 tau (PI.f32))) (neg.f32 x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (PI.f32) x)) (neg.f32 tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) #s(approx (/ (sin (* tau (* (PI) x))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32)) tau))) |
(*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) (*.f32 (sqrt.f32 (PI.f32)) x))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 tau x) (PI.f32))) |
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (PI.f32))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) x)) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x))) |
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (neg.f32 tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) |
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (neg.f32 x) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))) |
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32)) (*.f32 (PI.f32) x))) |
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) tau) |
(/.f32 (/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (PI.f32)) (*.f32 tau x)) |
(/.f32 (*.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (sin.f32 (fma.f32 (PI.f32) x (PI.f32)))) (*.f32 (*.f32 (*.f32 tau x) (PI.f32)) (*.f32 (neg.f32 (PI.f32)) x))) |
| Outputs |
|---|
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (neg.f32 x) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))) |
4 calls:
| 24.0ms | x |
| 22.0ms | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
| 17.0ms | tau |
| 16.0ms | (*.f32 x (PI.f32)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.1% | 2 | (*.f32 x (PI.f32)) |
| 97.0% | 2 | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
| 97.1% | 2 | x |
| 86.4% | 1 | tau |
Compiled 26 to 18 computations (30.8% saved)
| Inputs |
|---|
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32)) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32)) |
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau)) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (/ (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) (/.f32 x x))) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) x #s(literal 0 binary32)) x)) |
(*.f32 #s(approx (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (fma.f32 (*.f32 tau (*.f32 (*.f32 tau x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) tau) (*.f32 #s(literal 0 binary32) (PI.f32)) (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32))) x (*.f32 (/.f32 (*.f32 #s(literal 0 binary32) (PI.f32)) tau) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x)) |
(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 tau (*.f32 x (PI.f32)))) |
(*.f32 #s(approx (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/.f32 x x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)) tau)) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (neg.f32 tau) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)) #s(literal 0 binary32)) tau)) |
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) |
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* tau (* x (PI)))) (/.f32 #s(literal 1 binary32) tau)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x)) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) |
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32))) |
(/.f32 #s(approx (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (*.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x)) |
(*.f32 #s(approx (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau (PI.f32)) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) |
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (neg.f32 (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (*.f32 tau (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (PI.f32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 tau (PI.f32))) (neg.f32 x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (PI.f32) x)) (neg.f32 tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) #s(approx (/ (sin (* tau (* (PI) x))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32)) tau))) |
(*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) (*.f32 (sqrt.f32 (PI.f32)) x))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 tau x) (PI.f32))) |
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (PI.f32))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) x)) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x))) |
(/.f32 (*.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 (neg.f32 tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) |
| Outputs |
|---|
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))) |
2 calls:
| 22.0ms | x |
| 18.0ms | (*.f32 x (PI.f32)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.0% | 2 | (*.f32 x (PI.f32)) |
| 97.0% | 2 | x |
Compiled 4 to 6 computations (-50% saved)
| Inputs |
|---|
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32)) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32)) |
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau)) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (/ (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) (/.f32 x x))) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) x #s(literal 0 binary32)) x)) |
(*.f32 #s(approx (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (fma.f32 (*.f32 tau (*.f32 (*.f32 tau x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) tau) (*.f32 #s(literal 0 binary32) (PI.f32)) (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32))) x (*.f32 (/.f32 (*.f32 #s(literal 0 binary32) (PI.f32)) tau) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x)) |
(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 tau (*.f32 x (PI.f32)))) |
(*.f32 #s(approx (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/.f32 x x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)) tau)) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (neg.f32 tau) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)) #s(literal 0 binary32)) tau)) |
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) |
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* tau (* x (PI)))) (/.f32 #s(literal 1 binary32) tau)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x)) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) |
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32))) |
(/.f32 #s(approx (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (*.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x)) |
(*.f32 #s(approx (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau (PI.f32)) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) |
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (neg.f32 (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (*.f32 tau (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (PI.f32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 tau (PI.f32))) (neg.f32 x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (PI.f32) x)) (neg.f32 tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) #s(approx (/ (sin (* tau (* (PI) x))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32)) tau))) |
(*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) (*.f32 (sqrt.f32 (PI.f32)) x))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 tau x) (PI.f32))) |
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (PI.f32))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) x)) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x))) |
| Outputs |
|---|
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x))) |
3 calls:
| 18.0ms | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
| 17.0ms | x |
| 16.0ms | (*.f32 x (PI.f32)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.6% | 2 | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
| 96.8% | 2 | (*.f32 x (PI.f32)) |
| 96.8% | 2 | x |
Compiled 25 to 16 computations (36% saved)
| Inputs |
|---|
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32)) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32)) |
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau)) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (/ (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) (/.f32 x x))) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) x #s(literal 0 binary32)) x)) |
(*.f32 #s(approx (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (fma.f32 (*.f32 tau (*.f32 (*.f32 tau x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) tau) (*.f32 #s(literal 0 binary32) (PI.f32)) (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32))) x (*.f32 (/.f32 (*.f32 #s(literal 0 binary32) (PI.f32)) tau) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x)) |
(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 tau (*.f32 x (PI.f32)))) |
(*.f32 #s(approx (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/.f32 x x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)) tau)) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (neg.f32 tau) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)) #s(literal 0 binary32)) tau)) |
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) |
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* tau (* x (PI)))) (/.f32 #s(literal 1 binary32) tau)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x)) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) |
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32))) |
(/.f32 #s(approx (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (*.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x)) |
(*.f32 #s(approx (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau (PI.f32)) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) |
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (neg.f32 (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (*.f32 tau (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (PI.f32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 tau (PI.f32))) (neg.f32 x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (PI.f32) x)) (neg.f32 tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) #s(approx (/ (sin (* tau (* (PI) x))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32)) tau))) |
(*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) (*.f32 (sqrt.f32 (PI.f32)) x))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 tau x) (PI.f32))) |
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (PI.f32))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) x)) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))) |
| Outputs |
|---|
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32)))) |
2 calls:
| 18.0ms | x |
| 16.0ms | (*.f32 x (PI.f32)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.7% | 2 | (*.f32 x (PI.f32)) |
| 96.7% | 2 | x |
Compiled 4 to 6 computations (-50% saved)
| Inputs |
|---|
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32)) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32)) |
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau)) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (/ (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) (/.f32 x x))) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) x #s(literal 0 binary32)) x)) |
(*.f32 #s(approx (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (fma.f32 (*.f32 tau (*.f32 (*.f32 tau x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) tau) (*.f32 #s(literal 0 binary32) (PI.f32)) (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32))) x (*.f32 (/.f32 (*.f32 #s(literal 0 binary32) (PI.f32)) tau) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x)) |
(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 tau (*.f32 x (PI.f32)))) |
(*.f32 #s(approx (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/.f32 x x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)) tau)) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (neg.f32 tau) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)) #s(literal 0 binary32)) tau)) |
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) |
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* tau (* x (PI)))) (/.f32 #s(literal 1 binary32) tau)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x)) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) |
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32))) |
(/.f32 #s(approx (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (*.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x)) |
(*.f32 #s(approx (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau (PI.f32)) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) |
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (neg.f32 (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (*.f32 tau (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (PI.f32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 tau (PI.f32))) (neg.f32 x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (PI.f32) x)) (neg.f32 tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) #s(approx (/ (sin (* tau (* (PI) x))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32)) tau))) |
(*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) (*.f32 (sqrt.f32 (PI.f32)) x))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))) (*.f32 (*.f32 tau x) (PI.f32))) |
(/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (PI.f32))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau (PI.f32))) (/.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32))) x)) |
| Outputs |
|---|
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) |
4 calls:
| 18.0ms | x |
| 17.0ms | (*.f32 x (PI.f32)) |
| 15.0ms | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
| 14.0ms | tau |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.4% | 1 | tau |
| 86.4% | 1 | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
| 86.4% | 1 | (*.f32 x (PI.f32)) |
| 86.4% | 1 | x |
Compiled 26 to 18 computations (30.8% saved)
| Inputs |
|---|
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32)) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32)) |
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau)) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (/ (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) (/.f32 x x))) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) x #s(literal 0 binary32)) x)) |
(*.f32 #s(approx (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (fma.f32 (*.f32 tau (*.f32 (*.f32 tau x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) tau) (*.f32 #s(literal 0 binary32) (PI.f32)) (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32))) x (*.f32 (/.f32 (*.f32 #s(literal 0 binary32) (PI.f32)) tau) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x)) |
(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 tau (*.f32 x (PI.f32)))) |
(*.f32 #s(approx (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/.f32 x x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)) tau)) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (neg.f32 tau) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)) #s(literal 0 binary32)) tau)) |
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) |
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* tau (* x (PI)))) (/.f32 #s(literal 1 binary32) tau)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x)) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) |
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32))) |
(/.f32 #s(approx (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (*.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x)) |
(*.f32 #s(approx (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau (PI.f32)) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 tau x #s(literal 1 binary32)) (PI.f32) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (*.f32 (neg.f32 x) tau) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) |
(*.f32 (/.f32 (sin.f32 (neg.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (neg.f32 (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) x) (*.f32 tau (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (*.f32 tau x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 tau x)) (PI.f32)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (PI.f32) x)) tau) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 tau (PI.f32))) (neg.f32 x)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (*.f32 (PI.f32) x)) (neg.f32 tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) #s(approx (/ (sin (* tau (* (PI) x))) (* (PI) x)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32)) tau))) |
(*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (*.f32 tau x) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (cos.f32 (+.f32 (fma.f32 (fma.f32 (neg.f32 tau) x #s(literal 1 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (fma.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) tau) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 x x) (*.f32 (PI.f32) tau)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) tau) (*.f32 (sqrt.f32 (PI.f32)) x))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (PI.f32))) x)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) |
| Outputs |
|---|
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
4 calls:
| 16.0ms | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
| 15.0ms | x |
| 13.0ms | (*.f32 x (PI.f32)) |
| 13.0ms | tau |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.4% | 1 | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
| 86.4% | 1 | (*.f32 x (PI.f32)) |
| 86.4% | 1 | x |
| 86.4% | 1 | tau |
Compiled 26 to 18 computations (30.8% saved)
| Inputs |
|---|
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32)) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32)) |
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau)) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (/ (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) (/.f32 x x))) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) x #s(literal 0 binary32)) x)) |
(*.f32 #s(approx (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (fma.f32 (*.f32 tau (*.f32 (*.f32 tau x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) tau) (*.f32 #s(literal 0 binary32) (PI.f32)) (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32))) x (*.f32 (/.f32 (*.f32 #s(literal 0 binary32) (PI.f32)) tau) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)) x (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) x)) |
(/.f32 #s(approx (* (/ (sin (* x (PI))) (* x (PI))) (sin (* tau (* x (PI))))) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) tau)) (*.f32 tau (*.f32 x (PI.f32)))) |
(*.f32 #s(approx (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/.f32 x x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)) tau #s(literal 0 binary32)) tau)) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (neg.f32 tau) (/.f32 (sin.f32 (fma.f32 (PI.f32) x (PI.f32))) (*.f32 (PI.f32) x)) #s(literal 0 binary32)) tau)) |
(*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) x))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) |
(/.f32 (*.f32 #s(approx (/ (sin (* x (PI))) (* tau (* x (PI)))) (/.f32 #s(literal 1 binary32) tau)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) x)) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 #s(approx (/ (sin (* (PI) x)) (* tau (* (PI) (PI)))) (/.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) |
(*.f32 #s(approx (/ (sin (* (PI) x)) (* (* tau (* (PI) x)) x)) (/.f32 (/.f32 #s(literal 1 binary32) tau) x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (PI.f32))) |
(/.f32 #s(approx (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (*.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) (PI.f32)) x)) (*.f32 (PI.f32) x)) |
(*.f32 #s(approx (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) tau) tau) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 #s(approx (sin (* (* x (PI)) tau)) (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
| Outputs |
|---|
(*.f32 #s(approx (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (fma.f32 (*.f32 tau (*.f32 (*.f32 tau x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
4 calls:
| 7.0ms | x |
| 6.0ms | tau |
| 6.0ms | (*.f32 x (PI.f32)) |
| 6.0ms | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.4% | 1 | (*.f32 x (PI.f32)) |
| 81.4% | 1 | x |
| 81.4% | 1 | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
| 81.4% | 1 | tau |
Compiled 26 to 18 computations (30.8% saved)
| Inputs |
|---|
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32)) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32)) |
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau)) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (/ (* (/ (sin (* x (PI))) (* tau (* x (PI)))) (sin (* tau (* x (PI))))) (* (PI) x)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) (/.f32 x x))) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) tau) tau #s(literal -1/6 binary32))) x #s(literal 0 binary32)) x #s(literal 1 binary32)) x #s(literal 0 binary32)) x)) |
| Outputs |
|---|
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) |
4 calls:
| 3.0ms | x |
| 3.0ms | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
| 3.0ms | (*.f32 x (PI.f32)) |
| 3.0ms | tau |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.4% | 1 | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
| 80.4% | 1 | tau |
| 80.4% | 1 | (*.f32 x (PI.f32)) |
| 80.4% | 1 | x |
Compiled 26 to 18 computations (30.8% saved)
Total -18.6b remaining (-163.3%)
Threshold costs -18.6b (-163.3%)
| Inputs |
|---|
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32)) |
#s(approx (* (/ (sin (+ (* (neg x) (* tau (PI))) (PI))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 0 binary32)) |
#s(approx (* (/ (sin (neg (+ (* (* tau x) (PI)) (PI)))) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)) tau)) |
| Outputs |
|---|
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32)) |
4 calls:
| 3.0ms | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
| 1.0ms | (*.f32 x (PI.f32)) |
| 1.0ms | x |
| 1.0ms | tau |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.4% | 1 | (*.f32 x (PI.f32)) |
| 64.4% | 1 | x |
| 64.4% | 1 | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
| 64.4% | 1 | tau |
Compiled 26 to 18 computations (30.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.023479055613279343 | 0.024755198508501053 |
Compiled 24 to 15 computations (37.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.02638521045446396 | 0.028777895495295525 |
Compiled 24 to 15 computations (37.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.02638521045446396 | 0.028777895495295525 |
Compiled 24 to 15 computations (37.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.03118305839598179 | 0.03671278804540634 |
Compiled 24 to 15 computations (37.5% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 115 | 554 |
| 1 | 171 | 554 |
| 2 | 295 | 554 |
| 3 | 664 | 554 |
| 4 | 1215 | 554 |
| 5 | 2134 | 554 |
| 6 | 3511 | 554 |
| 7 | 6696 | 554 |
| 8 | 6766 | 554 |
| 9 | 6961 | 554 |
| 10 | 7536 | 554 |
| 1× | node limit |
| Inputs |
|---|
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) |
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (*.f32 (*.f32 x (*.f32 tau x)) (PI.f32)))) |
#s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) (PI.f32))))) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) |
(if (<=.f32 x #s(literal 6442451/268435456 binary32)) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (neg.f32 x) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))) |
(if (<=.f32 x #s(literal 7516193/268435456 binary32)) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))) |
(if (<=.f32 x #s(literal 7516193/268435456 binary32)) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)))) |
(if (<=.f32 x #s(literal 9395241/268435456 binary32)) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 #s(approx (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (fma.f32 (*.f32 tau (*.f32 (*.f32 tau x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32)) |
| Outputs |
|---|
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))) |
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (PI.f32)) (*.f32 (*.f32 x (*.f32 tau x)) (PI.f32)))) |
#s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 x x))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 (PI.f32) (PI.f32))))) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) |
#s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x x)))) |
(if (<=.f32 x #s(literal 6442451/268435456 binary32)) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (neg.f32 x) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))) |
(if (<=.f32 x #s(literal 7516193/268435456 binary32)) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))) |
(if (<=.f32 x #s(literal 7516193/268435456 binary32)) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (fma.f32 (*.f32 tau x) (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 (neg.f32 x) (PI.f32))) (*.f32 x (PI.f32))))) |
(if (<=.f32 x #s(literal 7516193/268435456 binary32)) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 tau) (PI.f32)) x)))) |
(if (<=.f32 x #s(literal 7516193/268435456 binary32)) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 (neg.f32 x) (PI.f32)) (*.f32 (*.f32 tau (PI.f32)) x)))) |
(if (<=.f32 x #s(literal 9395241/268435456 binary32)) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (PI.f32))))) |
(if (<=.f32 x #s(literal 9395241/268435456 binary32)) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (fma.f32 x (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 (neg.f32 x) (PI.f32))) (*.f32 x (PI.f32))))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (*.f32 (PI.f32) x) #s(literal 2 binary32)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 tau x) (PI.f32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
(*.f32 #s(approx (/ (sin (* (* tau (PI)) x)) (* (* x (PI)) tau)) (fma.f32 (*.f32 tau (*.f32 (*.f32 tau x) x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) x) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) (fma.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32)) |
#s(approx (/ (* (sin (* (PI) x)) (/ (sin (* tau (* (PI) x))) (* tau (* (PI) x)))) (* (PI) x)) #s(literal 1 binary32)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 59 |
| 0 | 18 | 59 |
| 1 | 54 | 59 |
| 2 | 349 | 57 |
| 3 | 3602 | 57 |
| 0 | 9348 | 57 |
| 0 | 57 | 326 |
| 0 | 100 | 308 |
| 1 | 331 | 303 |
| 2 | 1846 | 289 |
| 0 | 8295 | 287 |
| 0 | 213 | 816 |
| 1 | 797 | 792 |
| 2 | 3818 | 766 |
| 0 | 8021 | 709 |
| 0 | 426 | 1694 |
| 1 | 1647 | 1532 |
| 2 | 7836 | 1528 |
| 0 | 8029 | 1424 |
| 0 | 588 | 2604 |
| 1 | 2215 | 2404 |
| 2 | 6999 | 2397 |
| 0 | 8162 | 2230 |
| 0 | 52 | 282 |
| 0 | 91 | 265 |
| 1 | 264 | 263 |
| 2 | 1403 | 254 |
| 0 | 8336 | 251 |
| 0 | 41 | 250 |
| 0 | 73 | 248 |
| 1 | 261 | 238 |
| 2 | 1533 | 234 |
| 0 | 8308 | 234 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 554 to 112 computations (79.8% saved)
(abs x)
(abs tau)
Compiled 1 570 to 444 computations (71.7% saved)
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