
Time bar (total: 15.4s)
| 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 38 to 20 computations (47.4% saved)
ival-sin: 4.0ms (20.8% of total)ival-<=: 4.0ms (20.8% of total)ival-div: 3.0ms (15.6% of total)ival-mult: 3.0ms (15.6% of total)...c/correct-round.rkt:119:19: 3.0ms (15.6% of total)ival-pi: 1.0ms (5.2% of total)ival-and: 1.0ms (5.2% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1.4s | 8256× | 0 | valid |
ival-sin: 301.0ms (30% of total)ival-mult: 173.0ms (17.2% of total)...c/correct-round.rkt:119:19: 153.0ms (15.2% of total)ival-<=: 143.0ms (14.2% of total)ival-div: 134.0ms (13.3% of total)ival-pi: 53.0ms (5.3% of total)ival-and: 35.0ms (3.5% of total)const: 8.0ms (0.8% of total)backward-pass: 3.0ms (0.3% of total)| 2× | egg-herbie |
| 892× | fma-define |
| 838× | associate-*l* |
| 792× | fnmadd-define |
| 760× | distribute-lft-neg-in |
| 756× | distribute-frac-neg2 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 136 |
| 1 | 106 | 136 |
| 2 | 488 | 128 |
| 3 | 2592 | 110 |
| 4 | 5352 | 110 |
| 0 | 10 | 21 |
| 1 | 23 | 21 |
| 2 | 80 | 21 |
| 3 | 284 | 18 |
| 4 | 677 | 18 |
| 5 | 1036 | 18 |
| 6 | 1072 | 18 |
| 7 | 1072 | 18 |
| 0 | 1072 | 18 |
| 1× | iter limit |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) |
| Outputs |
|---|
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
| Inputs |
|---|
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) |
(* (/ (sin (* (* (neg x) (PI)) tau)) (* (* (neg x) (PI)) tau)) (/ (sin (* (neg x) (PI))) (* (neg x) (PI)))) |
(* (/ (sin (* (* x (PI)) (neg tau))) (* (* x (PI)) (neg tau))) (/ (sin (* x (PI))) (* x (PI)))) |
(neg (* (/ (sin (* (* (neg x) (PI)) tau)) (* (* (neg x) (PI)) tau)) (/ (sin (* (neg x) (PI))) (* (neg x) (PI))))) |
(neg (* (/ (sin (* (* x (PI)) (neg tau))) (* (* x (PI)) (neg tau))) (/ (sin (* x (PI))) (* x (PI))))) |
(* (/ (sin (* (* tau (PI)) x)) (* (* tau (PI)) x)) (/ (sin (* tau (PI))) (* tau (PI)))) |
| Outputs |
|---|
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) |
(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* tau (square (* x (PI)))))) |
(* (/ (sin (* (* (neg x) (PI)) tau)) (* (* (neg x) (PI)) tau)) (/ (sin (* (neg x) (PI))) (* (neg x) (PI)))) |
(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* tau (square (* x (PI)))))) |
(* (/ (sin (* (* x (PI)) (neg tau))) (* (* x (PI)) (neg tau))) (/ (sin (* x (PI))) (* x (PI)))) |
(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* tau (square (* x (PI)))))) |
(neg (* (/ (sin (* (* (neg x) (PI)) tau)) (* (* (neg x) (PI)) tau)) (/ (sin (* (neg x) (PI))) (* (neg x) (PI))))) |
(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* tau (neg (square (* x (PI))))))) |
(neg (* (/ (sin (* (* x (PI)) (neg tau))) (* (* x (PI)) (neg tau))) (/ (sin (* x (PI))) (* x (PI))))) |
(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* tau (neg (square (* x (PI))))))) |
(* (/ (sin (* (* tau (PI)) x)) (* (* tau (PI)) x)) (/ (sin (* tau (PI))) (* tau (PI)))) |
(* (/ (sin (* x (* (PI) tau))) x) (/ (sin (* (PI) tau)) (square (* (PI) tau)))) |
(abs x)
(abs tau)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | x |
| 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 | - | (*.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 | - | (sin.f32 (*.f32 x (PI.f32))) |
| 0 | 0 | - | 0 | - | (*.f32 x (PI.f32)) |
| 0 | 0 | - | 0 | - | (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
| 0 | 0 | - | 0 | - | (PI.f32) |
| 0 | 0 | - | 0 | - | (*.f32 (*.f32 x (PI.f32)) tau) |
| 0 | 0 | - | 0 | - | (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) |
| 78.0ms | 512× | 0 | valid |
Compiled 153 to 32 computations (79.1% saved)
ival-sin: 16.0ms (43.6% of total)ival-mult: 11.0ms (30% of total)ival-div: 7.0ms (19.1% of total)ival-pi: 2.0ms (5.4% of total)const: 1.0ms (2.7% of total)backward-pass: 0.0ms (0% of total)Compiled 23 to 13 computations (43.5% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.2% | (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
| ▶ | 98.2% | (*.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)))) |
Compiled 46 to 23 computations (50% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f32 x (*.f32 (PI.f32) tau)) |
| ✓ | cost-diff | 0 | (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) |
| ✓ | cost-diff | 0 | (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))) |
| ✓ | cost-diff | 0 | (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
| ✓ | 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)))) |
| 578× | *-lowering-*.f32 |
| 578× | *-lowering-*.f64 |
| 564× | times-frac |
| 540× | /-lowering-/.f32 |
| 540× | /-lowering-/.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 135 |
| 1 | 49 | 134 |
| 2 | 160 | 130 |
| 3 | 496 | 128 |
| 4 | 977 | 128 |
| 5 | 1123 | 128 |
| 6 | 1124 | 128 |
| 0 | 1124 | 128 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (/ (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) |
(* x (PI)) |
x |
(PI) |
tau |
(/ (sin (* x (PI))) (* x (PI))) |
(sin (* x (PI))) |
(/ (* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x x))) (* (PI) (* (PI) tau))) |
(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x x))) |
(sin (* x (* (PI) tau))) |
(* x (* (PI) tau)) |
x |
(* (PI) tau) |
(PI) |
tau |
(/ (sin (* x (PI))) (* x x)) |
(sin (* x (PI))) |
(* x (PI)) |
(* x x) |
(* (PI) (* (PI) tau)) |
| Outputs |
|---|
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) |
(/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) |
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) |
(sin (* (* x (PI)) tau)) |
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) |
(* (* x (PI)) tau) |
(*.f32 x (*.f32 (PI.f32) tau)) |
(* x (PI)) |
(*.f32 x (PI.f32)) |
x |
(PI) |
(PI.f32) |
tau |
(/ (sin (* x (PI))) (* x (PI))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(sin (* x (PI))) |
(sin.f32 (*.f32 x (PI.f32))) |
(/ (* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x x))) (* (PI) (* (PI) tau))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) |
(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x x))) |
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x x))) |
(sin (* x (* (PI) tau))) |
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) |
(* x (* (PI) tau)) |
(*.f32 x (*.f32 (PI.f32) tau)) |
x |
(* (PI) tau) |
(*.f32 (PI.f32) tau) |
(PI) |
(PI.f32) |
tau |
(/ (sin (* x (PI))) (* x x)) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x)) |
(sin (* x (PI))) |
(sin.f32 (*.f32 x (PI.f32))) |
(* x (PI)) |
(*.f32 x (PI.f32)) |
(* x x) |
(*.f32 x x) |
(* (PI) (* (PI) tau)) |
(*.f32 tau (*.f32 (PI.f32) (PI.f32))) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.0% | (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) |
| ✓ | accuracy | 98.9% | (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x)) |
| ✓ | accuracy | 98.8% | (*.f32 (PI.f32) tau) |
| ✓ | accuracy | 98.8% | (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
| ✓ | accuracy | 99.0% | (*.f32 (*.f32 x (PI.f32)) tau) |
| ✓ | accuracy | 99.0% | (*.f32 x (PI.f32)) |
| ✓ | accuracy | 98.9% | (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) |
| ✓ | accuracy | 98.8% | (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
| 82.0ms | 256× | 0 | valid |
Compiled 141 to 19 computations (86.5% saved)
ival-mult: 16.0ms (37.6% of total)ival-sin: 15.0ms (35.2% of total)ival-div: 10.0ms (23.5% of total)ival-pi: 1.0ms (2.3% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))> |
#<alt (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau))> |
#<alt (sin (* (* x (PI)) tau))> |
#<alt (* (* x (PI)) tau)> |
#<alt (/ (* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x x))) (* (PI) (* (PI) tau)))> |
#<alt (* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x x)))> |
#<alt (sin (* x (* (PI) tau)))> |
#<alt (* x (* (PI) tau))> |
#<alt (/ (sin (* x (PI))) (* x (PI)))> |
#<alt (* x (PI))> |
#<alt (* (PI) tau)> |
#<alt (/ (sin (* x (PI))) (* x x))> |
#<alt (* (PI) (* (PI) tau))> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))> |
#<alt (+ 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))))))))))> |
#<alt (+ 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))))))))))))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (sin (* x (PI))) (* x (PI)))> |
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))> |
#<alt (+ (* (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))))> |
#<alt (+ (* (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))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))> |
#<alt (+ 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))))))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))> |
#<alt (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))> |
#<alt (+ 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))))))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (* tau (* x (PI)))> |
#<alt (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))> |
#<alt (* 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))))))))> |
#<alt (* 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)))))))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))> |
#<alt (* 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))))))))> |
#<alt (* 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)))))))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt 1> |
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))> |
#<alt (+ 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))))))))))> |
#<alt (+ 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))))))))))))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (sin (* x (PI))) (* x (PI)))> |
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))> |
#<alt (+ (* (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))))> |
#<alt (+ (* (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))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (* tau (pow (PI) 2))> |
#<alt (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))))> |
#<alt (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6))))))))))> |
#<alt (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8)))))))))))))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))> |
#<alt (/ (* tau (* (PI) (sin (* x (PI))))) x)> |
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* x (* (pow (PI) 3) (sin (* x (PI))))))) (/ (* (PI) (sin (* x (PI)))) x)))> |
#<alt (* tau (+ (* (pow tau 2) (+ (* -1/6 (* x (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 5) (sin (* x (PI))))))))) (/ (* (PI) (sin (* x (PI)))) x)))> |
#<alt (* tau (+ (* (pow tau 2) (+ (* -1/6 (* x (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 5) (sin (* x (PI)))))))))) (/ (* (PI) (sin (* x (PI)))) x)))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))> |
#<alt (* tau (* x (PI)))> |
#<alt (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))> |
#<alt (* 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))))))))> |
#<alt (* 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)))))))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))> |
#<alt (* 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))))))))> |
#<alt (* 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)))))))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))> |
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))> |
#<alt (+ 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)))))))> |
#<alt (/ (sin (* x (PI))) (* x (PI)))> |
#<alt (/ (sin (* x (PI))) (* x (PI)))> |
#<alt (/ (sin (* x (PI))) (* x (PI)))> |
#<alt (/ (sin (* x (PI))) (* x (PI)))> |
#<alt (/ (sin (* x (PI))) (* x (PI)))> |
#<alt (/ (sin (* x (PI))) (* x (PI)))> |
#<alt (/ (sin (* x (PI))) (* x (PI)))> |
#<alt (/ (sin (* x (PI))) (* x (PI)))> |
#<alt (* x (PI))> |
#<alt (* x (PI))> |
#<alt (* x (PI))> |
#<alt (* x (PI))> |
#<alt (* x (PI))> |
#<alt (* x (PI))> |
#<alt (* x (PI))> |
#<alt (* x (PI))> |
#<alt (* x (PI))> |
#<alt (* x (PI))> |
#<alt (* x (PI))> |
#<alt (* x (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (/ (PI) x)> |
#<alt (/ (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))) x)> |
#<alt (/ (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))) x)> |
#<alt (/ (+ (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))))))) x)> |
#<alt (/ (sin (* x (PI))) (pow x 2))> |
#<alt (/ (sin (* x (PI))) (pow x 2))> |
#<alt (/ (sin (* x (PI))) (pow x 2))> |
#<alt (/ (sin (* x (PI))) (pow x 2))> |
#<alt (/ (sin (* x (PI))) (pow x 2))> |
#<alt (/ (sin (* x (PI))) (pow x 2))> |
#<alt (/ (sin (* x (PI))) (pow x 2))> |
#<alt (/ (sin (* x (PI))) (pow x 2))> |
#<alt (* tau (pow (PI) 2))> |
#<alt (* tau (pow (PI) 2))> |
#<alt (* tau (pow (PI) 2))> |
#<alt (* tau (pow (PI) 2))> |
#<alt (* tau (pow (PI) 2))> |
#<alt (* tau (pow (PI) 2))> |
#<alt (* tau (pow (PI) 2))> |
#<alt (* tau (pow (PI) 2))> |
#<alt (* tau (pow (PI) 2))> |
#<alt (* tau (pow (PI) 2))> |
#<alt (* tau (pow (PI) 2))> |
#<alt (* tau (pow (PI) 2))> |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | tau | @ | -inf | (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) |
| 3.0ms | tau | @ | inf | (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) |
| 3.0ms | x | @ | -inf | (/ (sin (* x (PI))) (* x x)) |
| 3.0ms | x | @ | -inf | (/ (* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x x))) (* (PI) (* (PI) tau))) |
| 2.0ms | x | @ | 0 | (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) |
| 1× | batch-egg-rewrite |
| 5606× | *-lowering-*.f32 |
| 5606× | *-lowering-*.f64 |
| 3046× | /-lowering-/.f32 |
| 3046× | /-lowering-/.f64 |
| 1034× | associate-*l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 116 |
| 1 | 101 | 115 |
| 2 | 803 | 109 |
| 3 | 6742 | 109 |
| 0 | 8052 | 109 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (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))) (/ (sin (* x (PI))) (* x x))) (* (PI) (* (PI) tau))) |
(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x x))) |
(sin (* x (* (PI) tau))) |
(* x (* (PI) tau)) |
(/ (sin (* x (PI))) (* x (PI))) |
(* x (PI)) |
(* (PI) tau) |
(/ (sin (* x (PI))) (* x x)) |
(* (PI) (* (PI) tau)) |
| Outputs |
|---|
(neg.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32))))))) |
(neg.f32 (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))) |
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))) |
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))))) |
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (neg.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))))) |
(neg.f32 (*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32)))))))) |
(neg.f32 (/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))) |
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))) (/.f32 tau (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))))) |
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (PI.f32))))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))) |
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))))) |
(neg.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau)))) |
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) (*.f32 x (PI.f32)))) |
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x (*.f32 (PI.f32) tau)))) |
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32)))))))) |
(neg.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (*.f32 x (PI.f32))))) (*.f32 (PI.f32) tau))) |
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32))))))) #s(literal -1 binary32))) |
(pow.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32)))))) #s(literal -1 binary32)) |
(-.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32))))))) |
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32))))))) |
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))) |
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (neg.f32 tau) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 x (PI.f32)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 tau (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32))))))) |
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(/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (sin.f32 (*.f32 x (PI.f32))))) |
(/.f32 #s(literal -1 binary32) (*.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (sin.f32 (*.f32 x (PI.f32)))))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (*.f32 x x))) #s(literal -1 binary32)) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)) (neg.f32 x)) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)) (*.f32 #s(literal 1 binary32) (neg.f32 x))) |
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) |
(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x))) (neg.f32 x)) |
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x x))) |
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32))) |
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x)) #s(literal 1 binary32)) |
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))) |
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal -1 binary32) (*.f32 x x))) |
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 x x)) #s(literal 1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (sin.f32 (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32))) |
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) x)) |
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))) |
(*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (*.f32 x x)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)) (/.f32 #s(literal 1 binary32) (neg.f32 x))) |
(*.f32 (/.f32 #s(literal -1 binary32) (*.f32 x x)) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) |
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) |
(neg.f32 (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau)))) |
(-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau)))) |
(/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) #s(literal 1 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (PI.f32) tau))) |
(/.f32 (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) #s(literal -1 binary32)) |
(*.f32 (PI.f32) (*.f32 (PI.f32) tau)) |
(*.f32 (PI.f32) (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau)))) |
(*.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) tau) #s(literal 1 binary32))) |
(*.f32 tau (*.f32 (PI.f32) (PI.f32))) |
(*.f32 tau (/.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) |
(*.f32 (*.f32 (PI.f32) tau) (PI.f32)) |
(*.f32 (*.f32 (PI.f32) tau) (neg.f32 (neg.f32 (PI.f32)))) |
(*.f32 (*.f32 (PI.f32) tau) (/.f32 (PI.f32) #s(literal 1 binary32))) |
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) #s(literal 1 binary32)) |
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (PI.f32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32))))) |
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) tau))) |
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 3/2 binary32))))) |
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) tau)) |
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) tau) #s(literal 1 binary32))) |
(*.f32 (*.f32 (PI.f32) (PI.f32)) tau) |
(*.f32 (*.f32 (PI.f32) (PI.f32)) (neg.f32 (neg.f32 tau))) |
(*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 tau #s(literal 1 binary32))) |
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 3/2 binary32)))) |
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 3/2 binary32))) #s(literal 1 binary32))) |
(*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau)))) |
(*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 3/2 binary32))))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau)) (neg.f32 (PI.f32))) |
(*.f32 (neg.f32 (PI.f32)) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) (neg.f32 tau)) |
(*.f32 (*.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/3 binary32)))) |
(*.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) |
(*.f32 (*.f32 (PI.f32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) |
(*.f32 (*.f32 (PI.f32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 1 binary32))) |
(*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) |
(*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) |
(*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 4/3 binary32))) |
(*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 3/2 binary32))) |
(*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) |
(*.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) (PI.f32)) |
(*.f32 (neg.f32 (neg.f32 (PI.f32))) (*.f32 (PI.f32) tau)) |
(*.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) tau) |
(*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) |
(*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 1/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 1/3 binary32))) |
(*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32))) |
(*.f32 (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 3/2 binary32))) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) |
(*.f32 (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) |
(*.f32 (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) |
| 1× | egg-herbie |
| 5302× | *-lowering-*.f32 |
| 5302× | *-lowering-*.f64 |
| 4992× | +-lowering-+.f64 |
| 4992× | +-lowering-+.f32 |
| 1182× | sum3-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 286 | 3358 |
| 1 | 980 | 3060 |
| 2 | 4245 | 2996 |
| 0 | 8086 | 2996 |
| 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)))))))))))))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (sin (* x (PI))) (* 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)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
1 |
(+ 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)))))))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
1 |
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))) |
(+ 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)))))))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(* 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))))))))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(* tau (* x (PI))) |
(* 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 (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
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)))))))))))))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (sin (* x (PI))) (* 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)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(* tau (pow (PI) 2)) |
(+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))) |
(+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))) |
(+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2)) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2)) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2)) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2)) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2)) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2)) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2)) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2)) |
(/ (* tau (* (PI) (sin (* x (PI))))) x) |
(* tau (+ (* -1/6 (* (pow tau 2) (* x (* (pow (PI) 3) (sin (* x (PI))))))) (/ (* (PI) (sin (* x (PI)))) x))) |
(* tau (+ (* (pow tau 2) (+ (* -1/6 (* x (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 5) (sin (* x (PI))))))))) (/ (* (PI) (sin (* x (PI)))) x))) |
(* tau (+ (* (pow tau 2) (+ (* -1/6 (* x (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 5) (sin (* x (PI)))))))))) (/ (* (PI) (sin (* x (PI)))) x))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2)) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2)) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2)) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2)) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2)) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2)) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2)) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2)) |
(* 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))))))))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(* tau (* x (PI))) |
(* 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 (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
1 |
(+ 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))))))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/ (sin (* x (PI))) (* x (PI))) |
(* x (PI)) |
(* x (PI)) |
(* x (PI)) |
(* x (PI)) |
(* x (PI)) |
(* x (PI)) |
(* x (PI)) |
(* x (PI)) |
(* x (PI)) |
(* x (PI)) |
(* x (PI)) |
(* x (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(/ (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))))))) x) |
(/ (sin (* x (PI))) (pow x 2)) |
(/ (sin (* x (PI))) (pow x 2)) |
(/ (sin (* x (PI))) (pow x 2)) |
(/ (sin (* x (PI))) (pow x 2)) |
(/ (sin (* x (PI))) (pow x 2)) |
(/ (sin (* x (PI))) (pow x 2)) |
(/ (sin (* x (PI))) (pow x 2)) |
(/ (sin (* x (PI))) (pow x 2)) |
(* tau (pow (PI) 2)) |
(* tau (pow (PI) 2)) |
(* tau (pow (PI) 2)) |
(* tau (pow (PI) 2)) |
(* tau (pow (PI) 2)) |
(* tau (pow (PI) 2)) |
(* tau (pow (PI) 2)) |
(* tau (pow (PI) 2)) |
(* tau (pow (PI) 2)) |
(* tau (pow (PI) 2)) |
(* tau (pow (PI) 2)) |
(* tau (pow (PI) 2)) |
| Outputs |
|---|
1 |
#s(literal 1 binary32) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))))) |
(+ 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)))))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (*.f32 x (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 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)))))))))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (*.f32 x (*.f32 x (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))))) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal -1/5040 binary32) (*.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)))) (*.f32 #s(literal -1/720 binary32) (+.f32 (*.f32 tau tau) (pow.f32 tau #s(literal 4 binary32))))))))))))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI)))) |
(+.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 x (*.f32 tau tau)) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))) |
(+ (* (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)))) |
(+.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (*.f32 tau tau) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))) |
(+ (* (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)))) |
(+.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 tau (*.f32 tau (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau tau) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (+.f32 (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/5040 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x x))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 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)))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) (+.f32 (*.f32 (pow.f32 tau #s(literal 4 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32))))))))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 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 #s(literal 1 binary32) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (pow.f32 x #s(literal 4 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)))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (pow.f32 x #s(literal 6 binary32))) (*.f32 (*.f32 tau tau) #s(literal -1/5040 binary32))) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (pow.f32 x #s(literal 4 binary32)))))))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) |
(* tau (* x (PI))) |
(*.f32 tau (*.f32 x (PI.f32))) |
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI)))) |
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(* tau (+ (* -1/6 (* (pow tau 2) (* x (* (pow (PI) 3) (sin (* x (PI))))))) (/ (* (PI) (sin (* x (PI)))) x))) |
(*.f32 tau (+.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (PI.f32) x)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 tau tau))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) |
(* tau (+ (* (pow tau 2) (+ (* -1/6 (* x (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 5) (sin (* x (PI))))))))) (/ (* (PI) (sin (* x (PI)))) x))) |
(*.f32 tau (+.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (PI.f32) x)) (*.f32 (*.f32 tau tau) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)) (*.f32 (*.f32 x x) (*.f32 x (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))) |
(* tau (+ (* (pow tau 2) (+ (* -1/6 (* x (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 5) (sin (* x (PI)))))))))) (/ (* (PI) (sin (* x (PI)))) x))) |
(*.f32 tau (+.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (PI.f32) x)) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x #s(literal -1/6 binary32))) (*.f32 (*.f32 tau tau) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (+.f32 (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/5040 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x x))) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2)) |
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2)) |
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2)) |
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2)) |
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2)) |
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2)) |
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2)) |
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2)) |
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))) |
(* tau (* x (PI))) |
(*.f32 tau (*.f32 x (PI.f32))) |
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI)))) |
(*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) 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)))))))) |
(*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) tau)) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (*.f32 x (*.f32 x (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 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))))))))) |
(*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 x (*.f32 x (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) tau)) (*.f32 (*.f32 x x) (+.f32 (*.f32 (pow.f32 tau #s(literal 7 binary32)) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -1/5040 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))))))))))) |
(sin (* tau (* x (PI)))) |
(sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) |
(sin (* tau (* x (PI)))) |
(sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) |
(sin (* tau (* x (PI)))) |
(sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) |
(sin (* tau (* x (PI)))) |
(sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) |
(sin (* tau (* x (PI)))) |
(sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) |
(sin (* tau (* x (PI)))) |
(sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) |
(sin (* tau (* x (PI)))) |
(sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) |
(sin (* tau (* x (PI)))) |
(sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) |
(* tau (* x (PI))) |
(*.f32 tau (*.f32 x (PI.f32))) |
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))) |
(*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (*.f32 tau (*.f32 x (*.f32 x x)))))))) |
(* 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 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))) |
(* 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 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 tau (+.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 7 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 tau tau)))) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))) |
(sin (* tau (* x (PI)))) |
(sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) |
(sin (* tau (* x (PI)))) |
(sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) |
(sin (* tau (* x (PI)))) |
(sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) |
(sin (* tau (* x (PI)))) |
(sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) |
(sin (* tau (* x (PI)))) |
(sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) |
(sin (* tau (* x (PI)))) |
(sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) |
(sin (* tau (* x (PI)))) |
(sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) |
(sin (* tau (* x (PI)))) |
(sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) |
(* tau (* x (PI))) |
(*.f32 tau (*.f32 x (PI.f32))) |
(* tau (* x (PI))) |
(*.f32 tau (*.f32 x (PI.f32))) |
(* tau (* x (PI))) |
(*.f32 tau (*.f32 x (PI.f32))) |
(* tau (* x (PI))) |
(*.f32 tau (*.f32 x (PI.f32))) |
(* tau (* x (PI))) |
(*.f32 tau (*.f32 x (PI.f32))) |
(* tau (* x (PI))) |
(*.f32 tau (*.f32 x (PI.f32))) |
(* tau (* x (PI))) |
(*.f32 tau (*.f32 x (PI.f32))) |
(* tau (* x (PI))) |
(*.f32 tau (*.f32 x (PI.f32))) |
(* tau (* x (PI))) |
(*.f32 tau (*.f32 x (PI.f32))) |
(* tau (* x (PI))) |
(*.f32 tau (*.f32 x (PI.f32))) |
(* tau (* x (PI))) |
(*.f32 tau (*.f32 x (PI.f32))) |
(* tau (* x (PI))) |
(*.f32 tau (*.f32 x (PI.f32))) |
(* tau (* x (PI))) |
(*.f32 tau (*.f32 x (PI.f32))) |
(* tau (* x (PI))) |
(*.f32 tau (*.f32 x (PI.f32))) |
(* tau (* x (PI))) |
(*.f32 tau (*.f32 x (PI.f32))) |
(* tau (* x (PI))) |
(*.f32 tau (*.f32 x (PI.f32))) |
(* tau (* x (PI))) |
(*.f32 tau (*.f32 x (PI.f32))) |
(* tau (* x (PI))) |
(*.f32 tau (*.f32 x (PI.f32))) |
(* tau (* x (PI))) |
(*.f32 tau (*.f32 x (PI.f32))) |
(* tau (* x (PI))) |
(*.f32 tau (*.f32 x (PI.f32))) |
(* tau (* x (PI))) |
(*.f32 tau (*.f32 x (PI.f32))) |
(* tau (* x (PI))) |
(*.f32 tau (*.f32 x (PI.f32))) |
(* tau (* x (PI))) |
(*.f32 tau (*.f32 x (PI.f32))) |
(* tau (* x (PI))) |
(*.f32 tau (*.f32 x (PI.f32))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 x (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 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))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -1/5040 binary32)))))))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(* x (PI)) |
(*.f32 x (PI.f32)) |
(* x (PI)) |
(*.f32 x (PI.f32)) |
(* x (PI)) |
(*.f32 x (PI.f32)) |
(* x (PI)) |
(*.f32 x (PI.f32)) |
(* x (PI)) |
(*.f32 x (PI.f32)) |
(* x (PI)) |
(*.f32 x (PI.f32)) |
(* x (PI)) |
(*.f32 x (PI.f32)) |
(* x (PI)) |
(*.f32 x (PI.f32)) |
(* x (PI)) |
(*.f32 x (PI.f32)) |
(* x (PI)) |
(*.f32 x (PI.f32)) |
(* x (PI)) |
(*.f32 x (PI.f32)) |
(* x (PI)) |
(*.f32 x (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(/ (PI) x) |
(/.f32 (PI.f32) x) |
(/ (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))) x) |
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (PI.f32)) x) |
(/ (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))) x) |
(/.f32 (+.f32 (PI.f32) (*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))) 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))))))) x) |
(/.f32 (+.f32 (PI.f32) (*.f32 x (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -1/5040 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))) x) |
(/ (sin (* x (PI))) (pow x 2)) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x)) |
(/ (sin (* x (PI))) (pow x 2)) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x)) |
(/ (sin (* x (PI))) (pow x 2)) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x)) |
(/ (sin (* x (PI))) (pow x 2)) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x)) |
(/ (sin (* x (PI))) (pow x 2)) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x)) |
(/ (sin (* x (PI))) (pow x 2)) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x)) |
(/ (sin (* x (PI))) (pow x 2)) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x)) |
(/ (sin (* x (PI))) (pow x 2)) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x)) |
(* tau (pow (PI) 2)) |
(*.f32 tau (*.f32 (PI.f32) (PI.f32))) |
(* tau (pow (PI) 2)) |
(*.f32 tau (*.f32 (PI.f32) (PI.f32))) |
(* tau (pow (PI) 2)) |
(*.f32 tau (*.f32 (PI.f32) (PI.f32))) |
(* tau (pow (PI) 2)) |
(*.f32 tau (*.f32 (PI.f32) (PI.f32))) |
(* tau (pow (PI) 2)) |
(*.f32 tau (*.f32 (PI.f32) (PI.f32))) |
(* tau (pow (PI) 2)) |
(*.f32 tau (*.f32 (PI.f32) (PI.f32))) |
(* tau (pow (PI) 2)) |
(*.f32 tau (*.f32 (PI.f32) (PI.f32))) |
(* tau (pow (PI) 2)) |
(*.f32 tau (*.f32 (PI.f32) (PI.f32))) |
(* tau (pow (PI) 2)) |
(*.f32 tau (*.f32 (PI.f32) (PI.f32))) |
(* tau (pow (PI) 2)) |
(*.f32 tau (*.f32 (PI.f32) (PI.f32))) |
(* tau (pow (PI) 2)) |
(*.f32 tau (*.f32 (PI.f32) (PI.f32))) |
(* tau (pow (PI) 2)) |
(*.f32 tau (*.f32 (PI.f32) (PI.f32))) |
Compiled 37698 to 2786 computations (92.6% saved)
33 alts after pruning (32 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1525 | 32 | 1557 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 0 | 0 |
| Total | 1526 | 33 | 1559 |
| Status | Accuracy | Program |
|---|---|---|
| 97.4% | (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (PI.f32) tau)) | |
| 67.5% | (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (*.f32 (*.f32 x x) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) | |
| 67.5% | (/.f32 (/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) | |
| 97.9% | (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x (*.f32 (PI.f32) tau))) | |
| 97.9% | (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) | |
| 97.0% | (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (/.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32))))))) | |
| 79.4% | (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 tau (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) | |
| 97.7% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32)))) x) | |
| ▶ | 97.9% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) x) |
| 97.5% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (PI.f32))))) tau) | |
| 97.6% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 x (*.f32 (PI.f32) tau))) | |
| 86.1% | (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) | |
| 95.8% | (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))) (*.f32 (PI.f32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) | |
| ✓ | 97.2% | (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
| 71.2% | (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) | |
| 64.7% | (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) | |
| 64.0% | (/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) | |
| 65.0% | (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) | |
| 80.1% | (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))))) | |
| 96.3% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 1/3 binary32))))) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) | |
| 97.4% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) | |
| 96.5% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 1/3 binary32))))) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) | |
| 97.9% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)) | |
| 96.2% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))) (*.f32 x (PI.f32)))) | |
| ▶ | 86.8% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
| 71.4% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32)) | |
| 97.5% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) | |
| 97.5% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) | |
| ▶ | 98.0% | (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) |
| 80.7% | (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) | |
| 93.2% | (*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 tau (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))) #s(literal -1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) | |
| ▶ | 93.2% | (exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32))))))) #s(literal -1 binary32))) |
| ▶ | 64.1% | #s(literal 1 binary32) |
Compiled 1557 to 873 computations (43.9% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32)))))) |
| ✓ | cost-diff | 0 | (log.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32))))))) |
| ✓ | cost-diff | 32 | (*.f32 (log.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32))))))) #s(literal -1 binary32)) |
| ✓ | cost-diff | 6464 | (exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32))))))) #s(literal -1 binary32))) |
| ✓ | cost-diff | 0 | (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) |
| ✓ | cost-diff | 0 | (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) |
| ✓ | cost-diff | 0 | (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
| ✓ | cost-diff | 0 | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) 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 | 128 | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
| ✓ | cost-diff | 0 | (*.f32 x (*.f32 (PI.f32) tau)) |
| ✓ | cost-diff | 0 | (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) |
| ✓ | cost-diff | 0 | (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) |
| ✓ | cost-diff | 0 | (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) |
| 5922× | *-lowering-*.f32 |
| 5922× | *-lowering-*.f64 |
| 3934× | /-lowering-/.f32 |
| 3934× | /-lowering-/.f64 |
| 2628× | *-commutative |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 363 |
| 1 | 101 | 360 |
| 2 | 346 | 353 |
| 3 | 1396 | 350 |
| 4 | 3124 | 349 |
| 5 | 3679 | 348 |
| 6 | 3997 | 347 |
| 7 | 4144 | 347 |
| 8 | 4328 | 347 |
| 9 | 4484 | 347 |
| 10 | 6700 | 347 |
| 11 | 6921 | 347 |
| 12 | 6967 | 347 |
| 13 | 6967 | 347 |
| 14 | 6967 | 347 |
| 15 | 6967 | 347 |
| 16 | 7073 | 347 |
| 17 | 7075 | 347 |
| 18 | 7079 | 347 |
| 19 | 7079 | 347 |
| 20 | 7600 | 347 |
| 0 | 8066 | 347 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (sin (* x (* (PI) tau))) (* x (PI))) (/ (sin (* x (PI))) (* x (* (PI) tau)))) |
(/ (sin (* x (* (PI) tau))) (* x (PI))) |
(sin (* x (* (PI) tau))) |
(* x (* (PI) tau)) |
x |
(* (PI) tau) |
(PI) |
tau |
(* x (PI)) |
(/ (sin (* x (PI))) (* x (* (PI) tau))) |
(sin (* x (PI))) |
1 |
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ 1 (* x (* x (* -1/6 (* (PI) (PI))))))) |
(/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) |
(sin (* (* x (PI)) tau)) |
(* (* x (PI)) tau) |
(* x (PI)) |
x |
(PI) |
tau |
(+ 1 (* x (* x (* -1/6 (* (PI) (PI)))))) |
1 |
(* x (* x (* -1/6 (* (PI) (PI))))) |
(* x (* -1/6 (* (PI) (PI)))) |
(* -1/6 (* (PI) (PI))) |
-1/6 |
(* (PI) (PI)) |
(/ (* (/ (sin (* x (* (PI) tau))) (* (PI) tau)) (/ (sin (* x (PI))) (* x (PI)))) x) |
(* (/ (sin (* x (* (PI) tau))) (* (PI) tau)) (/ (sin (* x (PI))) (* x (PI)))) |
(/ (sin (* x (* (PI) tau))) (* (PI) tau)) |
(sin (* x (* (PI) tau))) |
(* x (* (PI) tau)) |
x |
(* (PI) tau) |
(PI) |
tau |
(/ (sin (* x (PI))) (* x (PI))) |
(sin (* x (PI))) |
(* x (PI)) |
(exp (* (log (/ (* (PI) (* (PI) tau)) (/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI))))))) -1)) |
(* (log (/ (* (PI) (* (PI) tau)) (/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI))))))) -1) |
(log (/ (* (PI) (* (PI) tau)) (/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI))))))) |
(/ (* (PI) (* (PI) tau)) (/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI)))))) |
(* (PI) (* (PI) tau)) |
(PI) |
(* (PI) tau) |
tau |
(/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI))))) |
(sin (* x (* (PI) tau))) |
(* x (* (PI) tau)) |
x |
(/ (* x x) (sin (* x (PI)))) |
(* x x) |
(sin (* x (PI))) |
(* x (PI)) |
-1 |
| Outputs |
|---|
(* (/ (sin (* x (* (PI) tau))) (* x (PI))) (/ (sin (* x (PI))) (* x (* (PI) tau)))) |
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (*.f32 x x)) (sin.f32 (*.f32 x (PI.f32))))) |
(/ (sin (* x (* (PI) tau))) (* x (PI))) |
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) |
(sin (* x (* (PI) tau))) |
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) |
(* x (* (PI) tau)) |
(*.f32 (PI.f32) (*.f32 x tau)) |
x |
(* (PI) tau) |
(*.f32 (PI.f32) tau) |
(PI) |
(PI.f32) |
tau |
(* x (PI)) |
(*.f32 x (PI.f32)) |
(/ (sin (* x (PI))) (* x (* (PI) tau))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau))) |
(sin (* x (PI))) |
(sin.f32 (*.f32 x (PI.f32))) |
1 |
#s(literal 1 binary32) |
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ 1 (* x (* x (* -1/6 (* (PI) (PI))))))) |
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (+.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))) tau) |
(/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) |
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) |
(sin (* (* x (PI)) tau)) |
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) |
(* (* x (PI)) tau) |
(*.f32 (PI.f32) (*.f32 x tau)) |
(* x (PI)) |
(*.f32 x (PI.f32)) |
x |
(PI) |
(PI.f32) |
tau |
(+ 1 (* x (* x (* -1/6 (* (PI) (PI)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)))))) |
1 |
#s(literal 1 binary32) |
(* x (* x (* -1/6 (* (PI) (PI))))) |
(*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))))) |
(* x (* -1/6 (* (PI) (PI)))) |
(*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) |
(* -1/6 (* (PI) (PI))) |
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) |
-1/6 |
#s(literal -1/6 binary32) |
(* (PI) (PI)) |
(*.f32 (PI.f32) (PI.f32)) |
(/ (* (/ (sin (* x (* (PI) tau))) (* (PI) tau)) (/ (sin (* x (PI))) (* x (PI)))) x) |
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (*.f32 x x)) (sin.f32 (*.f32 x (PI.f32))))) |
(* (/ (sin (* x (* (PI) tau))) (* (PI) tau)) (/ (sin (* x (PI))) (* x (PI)))) |
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) |
(/ (sin (* x (* (PI) tau))) (* (PI) tau)) |
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) tau)) |
(sin (* x (* (PI) tau))) |
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) |
(* x (* (PI) tau)) |
(*.f32 (PI.f32) (*.f32 x tau)) |
x |
(* (PI) tau) |
(*.f32 (PI.f32) tau) |
(PI) |
(PI.f32) |
tau |
(/ (sin (* x (PI))) (* x (PI))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(sin (* x (PI))) |
(sin.f32 (*.f32 x (PI.f32))) |
(* x (PI)) |
(*.f32 x (PI.f32)) |
(exp (* (log (/ (* (PI) (* (PI) tau)) (/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI))))))) -1)) |
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (*.f32 x x)) (sin.f32 (*.f32 x (PI.f32))))) |
(* (log (/ (* (PI) (* (PI) tau)) (/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI))))))) -1) |
(neg.f32 (log.f32 (/.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))))) |
(log (/ (* (PI) (* (PI) tau)) (/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI))))))) |
(log.f32 (/.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x)))) |
(/ (* (PI) (* (PI) tau)) (/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI)))))) |
(/.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))) |
(* (PI) (* (PI) tau)) |
(*.f32 (PI.f32) (*.f32 (PI.f32) tau)) |
(PI) |
(PI.f32) |
(* (PI) tau) |
(*.f32 (PI.f32) tau) |
tau |
(/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI))))) |
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32))))) |
(sin (* x (* (PI) tau))) |
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) |
(* x (* (PI) tau)) |
(*.f32 (PI.f32) (*.f32 x tau)) |
x |
(/ (* x x) (sin (* x (PI)))) |
(/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32)))) |
(* x x) |
(*.f32 x x) |
(sin (* x (PI))) |
(sin.f32 (*.f32 x (PI.f32))) |
(* x (PI)) |
(*.f32 x (PI.f32)) |
-1 |
#s(literal -1 binary32) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.9% | (*.f32 (PI.f32) tau) |
| ✓ | accuracy | 98.9% | (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32)))) |
| ✓ | accuracy | 96.0% | (PI.f32) |
| ✓ | accuracy | 60.8% | (log.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32))))))) |
| ✓ | accuracy | 98.9% | (*.f32 (PI.f32) tau) |
| ✓ | accuracy | 98.9% | (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) |
| ✓ | accuracy | 98.8% | (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
| ✓ | accuracy | 96.0% | (PI.f32) |
| ✓ | accuracy | 99.0% | (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) |
| ✓ | accuracy | 99.0% | (*.f32 x (PI.f32)) |
| ✓ | accuracy | 97.0% | (*.f32 (PI.f32) (PI.f32)) |
| ✓ | accuracy | 96.0% | (PI.f32) |
| ✓ | accuracy | 99.0% | (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) |
| ✓ | accuracy | 98.9% | (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) |
| ✓ | accuracy | 98.9% | (*.f32 (PI.f32) tau) |
| ✓ | accuracy | 96.0% | (PI.f32) |
| 170.0ms | 245× | 0 | valid |
| 6.0ms | 11× | 0 | invalid |
Compiled 389 to 36 computations (90.7% saved)
ival-mult: 24.0ms (35.2% of total)ival-div: 14.0ms (20.5% of total)ival-sin: 13.0ms (19.1% of total)ival-log: 6.0ms (8.8% of total)...c/correct-round.rkt:119:19: 5.0ms (7.3% of total)ival-exp: 2.0ms (2.9% of total)ival-pi: 1.0ms (1.5% of total)ival-add: 1.0ms (1.5% of total)const: 1.0ms (1.5% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (/ (sin (* x (* (PI) tau))) (* x (PI))) (/ (sin (* x (PI))) (* x (* (PI) tau))))> |
#<alt (/ (sin (* x (* (PI) tau))) (* x (PI)))> |
#<alt (sin (* x (* (PI) tau)))> |
#<alt (* x (* (PI) tau))> |
#<alt (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ 1 (* x (* x (* -1/6 (* (PI) (PI)))))))> |
#<alt (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau))> |
#<alt (sin (* (* x (PI)) tau))> |
#<alt (* (* x (PI)) tau)> |
#<alt (/ (* (/ (sin (* x (* (PI) tau))) (* (PI) tau)) (/ (sin (* x (PI))) (* x (PI)))) x)> |
#<alt (* (/ (sin (* x (* (PI) tau))) (* (PI) tau)) (/ (sin (* x (PI))) (* x (PI))))> |
#<alt (/ (sin (* x (* (PI) tau))) (* (PI) tau))> |
#<alt (exp (* (log (/ (* (PI) (* (PI) tau)) (/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI))))))) -1))> |
#<alt (* (log (/ (* (PI) (* (PI) tau)) (/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI))))))) -1)> |
#<alt (log (/ (* (PI) (* (PI) tau)) (/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI)))))))> |
#<alt (/ (* (PI) (* (PI) tau)) (/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI))))))> |
#<alt (PI)> |
#<alt (* (PI) tau)> |
#<alt (* (PI) (PI))> |
#<alt (* x (PI))> |
#<alt (/ (sin (* x (PI))) (* x (PI)))> |
#<alt (/ (* x x) (sin (* x (PI))))> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))> |
#<alt (+ 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))))))))))> |
#<alt (+ 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))))))))))))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (sin (* x (PI))) (* x (PI)))> |
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))> |
#<alt (+ (* (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))))> |
#<alt (+ (* (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))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt tau> |
#<alt (+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2)))))> |
#<alt (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4)))))))> |
#<alt (+ 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))))))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))> |
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))> |
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))> |
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))> |
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))> |
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))> |
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))> |
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))> |
#<alt tau> |
#<alt (* tau (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))> |
#<alt (* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))))> |
#<alt (* 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)))))))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))> |
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))> |
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))> |
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))> |
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))> |
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))> |
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))> |
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))> |
#<alt (* 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))))))))> |
#<alt (* 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)))))))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))> |
#<alt (* 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))))))))> |
#<alt (* 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)))))))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt 1> |
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))> |
#<alt (+ 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))) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))))> |
#<alt (+ 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))) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (* -1/5040 (* (pow tau 6) (pow (PI) 6))))))))))))> |
#<alt (* -1/6 (/ (* x (* (PI) (sin (* tau (* x (PI)))))) tau))> |
#<alt (* x (+ (* -1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))))> |
#<alt (* x (+ (* -1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))))> |
#<alt (* x (+ (* -1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))))> |
#<alt (* -1/6 (/ (* x (* (PI) (sin (* tau (* x (PI)))))) tau))> |
#<alt (* -1 (* x (+ (* -1 (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))) (* 1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))) (* 1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))) (* 1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)))))> |
#<alt (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))> |
#<alt (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))> |
#<alt (+ 1 (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))))))))> |
#<alt (+ 1 (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))))))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))> |
#<alt (+ 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))))))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))> |
#<alt (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))> |
#<alt (+ 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))))))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (* tau (* x (PI)))> |
#<alt (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))> |
#<alt (* 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))))))))> |
#<alt (* 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)))))))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))> |
#<alt (* 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))))))))> |
#<alt (* 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)))))))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt 1> |
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))> |
#<alt (+ 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))))))))))> |
#<alt (+ 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))))))))))))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (sin (* x (PI))) (* x (PI)))> |
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))> |
#<alt (+ (* (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))))> |
#<alt (+ (* (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))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt x> |
#<alt (* x (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))))> |
#<alt (* x (+ 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)))))))))))> |
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#<alt (+ (log (/ (* tau (pow (PI) 2)) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))) (* -2 (log (/ 1 x))))> |
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#<alt 1> |
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#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
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#<alt (* x (PI))> |
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#<alt (* x (PI))> |
#<alt (* x (PI))> |
#<alt (* x (PI))> |
#<alt (* x (PI))> |
#<alt (* x (PI))> |
#<alt (* x (PI))> |
#<alt (* x (PI))> |
#<alt (* x (PI))> |
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#<alt 1> |
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#<alt (/ (sin (* x (PI))) (* x (PI)))> |
#<alt (/ (sin (* x (PI))) (* x (PI)))> |
#<alt (/ (sin (* x (PI))) (* x (PI)))> |
#<alt (/ (sin (* x (PI))) (* x (PI)))> |
#<alt (/ (sin (* x (PI))) (* x (PI)))> |
#<alt (/ (sin (* x (PI))) (* x (PI)))> |
#<alt (/ (sin (* x (PI))) (* x (PI)))> |
#<alt (/ x (PI))> |
#<alt (* x (+ (* 1/6 (* (pow x 2) (PI))) (/ 1 (PI))))> |
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#<alt (/ (pow x 2) (sin (* x (PI))))> |
#<alt (/ (pow x 2) (sin (* x (PI))))> |
#<alt (/ (pow x 2) (sin (* x (PI))))> |
#<alt (/ (pow x 2) (sin (* x (PI))))> |
#<alt (/ (pow x 2) (sin (* x (PI))))> |
#<alt (/ (pow x 2) (sin (* x (PI))))> |
#<alt (/ (pow x 2) (sin (* x (PI))))> |
102 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 76.0ms | x | @ | inf | (* (log (/ (* (PI) (* (PI) tau)) (/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI))))))) -1) |
| 46.0ms | tau | @ | inf | (* (log (/ (* (PI) (* (PI) tau)) (/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI))))))) -1) |
| 32.0ms | tau | @ | -inf | (* (log (/ (* (PI) (* (PI) tau)) (/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI))))))) -1) |
| 24.0ms | x | @ | -inf | (* (log (/ (* (PI) (* (PI) tau)) (/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI))))))) -1) |
| 8.0ms | x | @ | 0 | (* (log (/ (* (PI) (* (PI) tau)) (/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI))))))) -1) |
| 1× | batch-egg-rewrite |
| 4446× | *-lowering-*.f32 |
| 4446× | *-lowering-*.f64 |
| 4332× | /-lowering-/.f32 |
| 4332× | /-lowering-/.f64 |
| 1062× | frac-2neg |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 243 |
| 1 | 192 | 237 |
| 2 | 1461 | 226 |
| 0 | 8767 | 226 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (sin (* x (* (PI) tau))) (* x (PI))) (/ (sin (* x (PI))) (* x (* (PI) tau)))) |
(/ (sin (* x (* (PI) tau))) (* x (PI))) |
(sin (* x (* (PI) tau))) |
(* x (* (PI) tau)) |
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ 1 (* x (* x (* -1/6 (* (PI) (PI))))))) |
(/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) |
(sin (* (* x (PI)) tau)) |
(* (* x (PI)) tau) |
(/ (* (/ (sin (* x (* (PI) tau))) (* (PI) tau)) (/ (sin (* x (PI))) (* x (PI)))) x) |
(* (/ (sin (* x (* (PI) tau))) (* (PI) tau)) (/ (sin (* x (PI))) (* x (PI)))) |
(/ (sin (* x (* (PI) tau))) (* (PI) tau)) |
(exp (* (log (/ (* (PI) (* (PI) tau)) (/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI))))))) -1)) |
(* (log (/ (* (PI) (* (PI) tau)) (/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI))))))) -1) |
(log (/ (* (PI) (* (PI) tau)) (/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI))))))) |
(/ (* (PI) (* (PI) tau)) (/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI)))))) |
(PI) |
(* (PI) tau) |
(* (PI) (PI)) |
(* x (PI)) |
(/ (sin (* x (PI))) (* x (PI))) |
(/ (* x x) (sin (* x (PI)))) |
| Outputs |
|---|
(neg.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))) |
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))) |
(neg.f32 (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))) |
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (neg.f32 tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))) |
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))) |
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))))) |
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))))) |
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))))) |
(neg.f32 (*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))))) |
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (neg.f32 tau)))))) |
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) (neg.f32 tau))))) |
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))) (/.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))) |
(neg.f32 (/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) |
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) |
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) tau) (/.f32 (neg.f32 x) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 x (PI.f32)))) |
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))))) |
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (log.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))))) |
(pow.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal 1 binary32)) |
(pow.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))) #s(literal -1 binary32)) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))) |
(-.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))) |
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 x)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))) |
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))) |
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (neg.f32 tau)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))) |
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))) |
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))) |
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x)))) |
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (neg.f32 (/.f32 (*.f32 x (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))))) |
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (*.f32 (/.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))))) |
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (neg.f32 tau))) (/.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))))) |
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (/.f32 (*.f32 (PI.f32) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))) |
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau)))) |
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))) |
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 (PI.f32) tau)))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32)))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 (PI.f32) (neg.f32 tau)))))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) (neg.f32 tau))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32))))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (/.f32 (*.f32 x (PI.f32)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau))))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 x (PI.f32))) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 tau (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau x) (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (PI.f32)) x) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 (PI.f32) (neg.f32 tau)))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))) |
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (/.f32 (*.f32 x (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (neg.f32 tau))) x) (/.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))) (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (sin.f32 (*.f32 x (PI.f32)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (neg.f32 tau))) x) (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 x (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) (neg.f32 tau))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (neg.f32 tau)))) (*.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (neg.f32 tau))) x) (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 x (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (PI.f32) tau) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (neg.f32 tau))) x) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 x (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) tau) (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 x (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) x)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (neg.f32 tau)) (neg.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 x (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 tau (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (/.f32 x (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))) (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) x))) |
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(*.f32 (*.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) |
(*.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) |
(*.f32 (pow.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 4 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) |
(*.f32 (pow.f32 (*.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) |
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) |
(neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))) |
(-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))) |
(/.f32 (*.f32 x (PI.f32)) #s(literal 1 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))) |
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))) #s(literal -1 binary32)) |
(*.f32 x (PI.f32)) |
(*.f32 x (neg.f32 (neg.f32 (PI.f32)))) |
(*.f32 (PI.f32) x) |
(*.f32 (*.f32 x (PI.f32)) #s(literal 1 binary32)) |
(*.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) |
(*.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))) |
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) x)) |
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) x)) |
(*.f32 (neg.f32 x) (neg.f32 (PI.f32))) |
(*.f32 (neg.f32 (PI.f32)) (neg.f32 x)) |
(*.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) |
(*.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) |
(*.f32 (neg.f32 (neg.f32 (PI.f32))) x) |
(neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))) |
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))) #s(literal 1 binary32))) |
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32))) |
(pow.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)) |
(-.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))) |
(-.f32 (/.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) x)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) x)))) |
(/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))) |
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32)) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (neg.f32 (neg.f32 (PI.f32)))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)) (neg.f32 (PI.f32))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) x)) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) x)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) |
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (neg.f32 x)) |
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) x))) (neg.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)))) |
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) x))) (neg.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) |
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))) |
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 1 binary32)) |
(*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))) |
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32))) |
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32))) |
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)) (/.f32 #s(literal 1 binary32) (neg.f32 (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) x)) |
(*.f32 (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) |
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) x)) (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) x)) (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) |
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x)))) |
(neg.f32 (/.f32 (/.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))) #s(literal 1 binary32))) |
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))) #s(literal -1 binary32))) |
(pow.f32 (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32)) |
(pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x)) #s(literal -1 binary32)) |
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x)))) |
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (/.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x)))) |
(/.f32 x (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) |
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))) |
(/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32)))) |
(/.f32 (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32)) |
(/.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (neg.f32 x)))) |
(/.f32 (/.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))) #s(literal -1 binary32)) |
(/.f32 (*.f32 x (neg.f32 x)) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) |
(*.f32 x (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) |
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32))))) |
(*.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32))))) |
(*.f32 (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32)) |
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x)))) |
(*.f32 (*.f32 x (neg.f32 x)) (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 x (PI.f32))))) |
(*.f32 (neg.f32 x) (/.f32 (neg.f32 x) (sin.f32 (*.f32 x (PI.f32))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x x)) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32))) |
(*.f32 (/.f32 x (sin.f32 (*.f32 x (PI.f32)))) x) |
(*.f32 (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (neg.f32 x))) |
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32))))) |
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 x (PI.f32))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32))))) |
| 1× | egg-herbie |
| 5668× | *-lowering-*.f32 |
| 5668× | *-lowering-*.f64 |
| 5304× | +-lowering-+.f64 |
| 5304× | +-lowering-+.f32 |
| 2110× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 626 | 10717 |
| 1 | 2409 | 9138 |
| 2 | 7924 | 9138 |
| 0 | 8012 | 9138 |
| 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)))))))))))))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (sin (* x (PI))) (* 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)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
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)))))))) |
(/ (sin (* tau (* x (PI)))) (* x (PI))) |
(/ (sin (* tau (* x (PI)))) (* x (PI))) |
(/ (sin (* tau (* x (PI)))) (* x (PI))) |
(/ (sin (* tau (* x (PI)))) (* x (PI))) |
(/ (sin (* tau (* x (PI)))) (* x (PI))) |
(/ (sin (* tau (* x (PI)))) (* x (PI))) |
(/ (sin (* tau (* x (PI)))) (* x (PI))) |
(/ (sin (* tau (* x (PI)))) (* x (PI))) |
tau |
(* 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))))))))) |
(/ (sin (* tau (* x (PI)))) (* x (PI))) |
(/ (sin (* tau (* x (PI)))) (* x (PI))) |
(/ (sin (* tau (* x (PI)))) (* x (PI))) |
(/ (sin (* tau (* x (PI)))) (* x (PI))) |
(/ (sin (* tau (* x (PI)))) (* x (PI))) |
(/ (sin (* tau (* x (PI)))) (* x (PI))) |
(/ (sin (* tau (* x (PI)))) (* x (PI))) |
(/ (sin (* tau (* x (PI)))) (* x (PI))) |
(* 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))))))))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(* tau (* x (PI))) |
(* 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 (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
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))) (* 1/36 (* (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))) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (* -1/5040 (* (pow tau 6) (pow (PI) 6)))))))))))) |
(* -1/6 (/ (* x (* (PI) (sin (* tau (* x (PI)))))) tau)) |
(* x (+ (* -1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI)))))) |
(* x (+ (* -1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI)))))) |
(* x (+ (* -1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI)))))) |
(* -1/6 (/ (* x (* (PI) (sin (* tau (* x (PI)))))) tau)) |
(* -1 (* x (+ (* -1 (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))) (* 1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau))))) |
(* -1 (* x (+ (* -1 (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))) (* 1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau))))) |
(* -1 (* x (+ (* -1 (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))) (* 1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau))))) |
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) |
(+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))) (* -1/6 (* (pow x 2) (pow (PI) 2))))) |
(+ 1 (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))))))) |
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(* -1 (/ (* (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (* tau (pow (PI) 2)))) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))) (+ (* -720 (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (* tau (pow (PI) 2)))) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (* tau (pow (PI) 2)))) (+ (* -1 (/ (* (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))) (* tau (pow (PI) 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)))))))) (* -240 (pow (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))) 3))))))))))) |
(+ (log (/ (* tau (pow (PI) 2)) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))) (* -2 (log (/ 1 x)))) |
(+ (log (/ (* tau (pow (PI) 2)) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))) (* -2 (log (/ 1 x)))) |
(+ (log (/ (* tau (pow (PI) 2)) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))) (* -2 (log (/ 1 x)))) |
(+ (log (/ (* tau (pow (PI) 2)) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))) (* -2 (log (/ 1 x)))) |
(+ (log (/ (* tau (pow (PI) 2)) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))) (* -2 (log (/ -1 x)))) |
(+ (log (/ (* tau (pow (PI) 2)) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))) (* -2 (log (/ -1 x)))) |
(+ (log (/ (* tau (pow (PI) 2)) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))) (* -2 (log (/ -1 x)))) |
(+ (log (/ (* tau (pow (PI) 2)) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))) (* -2 (log (/ -1 x)))) |
(/ (* x (PI)) (sin (* x (PI)))) |
(+ (* 1/6 (/ (* (pow tau 2) (* (pow x 3) (pow (PI) 3))) (sin (* x (PI))))) (/ (* x (PI)) (sin (* x (PI))))) |
(+ (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (/ (* (pow x 5) (pow (PI) 5)) (sin (* x (PI))))) (* 1/120 (/ (* (pow x 5) (pow (PI) 5)) (sin (* x (PI)))))))) (* -1/6 (/ (* (pow x 3) (pow (PI) 3)) (sin (* x (PI))))))) (/ (* x (PI)) (sin (* x (PI))))) |
(+ (* (pow tau 2) (- (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/5040 (/ (* (pow x 7) (pow (PI) 7)) (sin (* x (PI))))) (+ (* 1/720 (/ (* (pow x 7) (pow (PI) 7)) (sin (* x (PI))))) (* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ (* -1/36 (/ (* (pow x 5) (pow (PI) 5)) (sin (* x (PI))))) (* 1/120 (/ (* (pow x 5) (pow (PI) 5)) (sin (* x (PI))))))))))))) (+ (* -1/36 (/ (* (pow x 5) (pow (PI) 5)) (sin (* x (PI))))) (* 1/120 (/ (* (pow x 5) (pow (PI) 5)) (sin (* x (PI)))))))) (* -1/6 (/ (* (pow x 3) (pow (PI) 3)) (sin (* x (PI))))))) (/ (* x (PI)) (sin (* x (PI))))) |
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI))))) |
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI))))) |
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI))))) |
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI))))) |
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI))))) |
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI))))) |
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI))))) |
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI))))) |
1 |
(+ 1 (* -1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))) |
(+ 1 (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (/ (* (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (* tau (pow (PI) 2)))) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (* tau (pow (PI) 2)))) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (* tau (pow (PI) 2)))) (+ (* -1 (/ (* (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))) (* tau (pow (PI) 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 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (* tau (pow (PI) 2)))) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))) |
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI))))) |
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI))))) |
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI))))) |
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI))))) |
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI))))) |
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI))))) |
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI))))) |
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI))))) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* x (PI)) |
(* x (PI)) |
(* x (PI)) |
(* x (PI)) |
(* x (PI)) |
(* x (PI)) |
(* x (PI)) |
(* x (PI)) |
(* x (PI)) |
(* x (PI)) |
(* x (PI)) |
(* x (PI)) |
1 |
(+ 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))))))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/ x (PI)) |
(* x (+ (* 1/6 (* (pow x 2) (PI))) (/ 1 (PI)))) |
(* x (+ (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (pow (PI) 3)) (* 1/120 (pow (PI) 3))))) (* -1/6 (PI)))) (/ 1 (PI)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (pow (PI) 5)) (+ (* 1/720 (pow (PI) 5)) (* 1/6 (* (pow (PI) 2) (+ (* -1/36 (pow (PI) 3)) (* 1/120 (pow (PI) 3))))))))) (+ (* -1/36 (pow (PI) 3)) (* 1/120 (pow (PI) 3))))) (* -1/6 (PI)))) (/ 1 (PI)))) |
(/ (pow x 2) (sin (* x (PI)))) |
(/ (pow x 2) (sin (* x (PI)))) |
(/ (pow x 2) (sin (* x (PI)))) |
(/ (pow x 2) (sin (* x (PI)))) |
(/ (pow x 2) (sin (* x (PI)))) |
(/ (pow x 2) (sin (* x (PI)))) |
(/ (pow x 2) (sin (* x (PI)))) |
(/ (pow x 2) (sin (* 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))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 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)))))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (+.f32 (*.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)) (+.f32 #s(literal 1/120 binary32) (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau))))))))) |
(+ 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)))))))))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (+.f32 (+.f32 (*.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)) (+.f32 #s(literal 1/120 binary32) (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau))))) (*.f32 (*.f32 x x) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32))) #s(literal -1/5040 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 tau tau)) (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32)))))))))))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI)))) |
(+.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))) |
(+ (* (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)))) |
(+.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 x (*.f32 x x))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) |
(+ (* (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)))) |
(+.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (*.f32 (*.f32 tau tau) (pow.f32 x #s(literal 5 binary32))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 5 binary32))))) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x x))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) |
tau |
(+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2))))) |
(+.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (*.f32 tau tau))))) |
(+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4))))))) |
(+.f32 tau (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (*.f32 x x) (pow.f32 (PI.f32) #s(literal 4 binary32))))))) |
(+ 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)))))))) |
(+.f32 tau (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (*.f32 (*.f32 x x) (pow.f32 (PI.f32) #s(literal 6 binary32))))) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))) |
(/ (sin (* tau (* x (PI)))) (* x (PI))) |
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) |
(/ (sin (* tau (* x (PI)))) (* x (PI))) |
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) |
(/ (sin (* tau (* x (PI)))) (* x (PI))) |
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) |
(/ (sin (* tau (* x (PI)))) (* x (PI))) |
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) |
(/ (sin (* tau (* x (PI)))) (* x (PI))) |
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) |
(/ (sin (* tau (* x (PI)))) (* x (PI))) |
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) |
(/ (sin (* tau (* x (PI)))) (* x (PI))) |
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) |
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tau |
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1 |
#s(literal 1 binary32) |
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(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (* tau (pow (PI) 2)))) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (* tau (pow (PI) 2)))) (+ (* -1 (/ (* (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))) (* tau (pow (PI) 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 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (* tau (pow (PI) 2)))) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) (neg.f32 (+.f32 (*.f32 (*.f32 x x) (-.f32 (-.f32 (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (+.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32))) #s(literal -1/5040 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 tau tau)) (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32)))))) (*.f32 (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 tau (*.f32 tau tau)))))) (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (*.f32 tau (*.f32 tau tau))))) (-.f32 (+.f32 (*.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)) (+.f32 #s(literal 1/120 binary32) (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau))))) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (*.f32 tau (*.f32 tau tau)))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) (-.f32 (+.f32 (*.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)) (+.f32 #s(literal 1/120 binary32) (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau))))) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (*.f32 tau (*.f32 tau tau)))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))) (*.f32 #s(literal 1/6 binary32) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))))))) |
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI))))) |
(/.f32 (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))) |
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI))))) |
(/.f32 (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))) |
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI))))) |
(/.f32 (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))) |
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI))))) |
(/.f32 (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))) |
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI))))) |
(/.f32 (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))) |
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI))))) |
(/.f32 (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))) |
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI))))) |
(/.f32 (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))) |
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI))))) |
(/.f32 (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* x (PI)) |
(*.f32 x (PI.f32)) |
(* x (PI)) |
(*.f32 x (PI.f32)) |
(* x (PI)) |
(*.f32 x (PI.f32)) |
(* x (PI)) |
(*.f32 x (PI.f32)) |
(* x (PI)) |
(*.f32 x (PI.f32)) |
(* x (PI)) |
(*.f32 x (PI.f32)) |
(* x (PI)) |
(*.f32 x (PI.f32)) |
(* x (PI)) |
(*.f32 x (PI.f32)) |
(* x (PI)) |
(*.f32 x (PI.f32)) |
(* x (PI)) |
(*.f32 x (PI.f32)) |
(* x (PI)) |
(*.f32 x (PI.f32)) |
(* x (PI)) |
(*.f32 x (PI.f32)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 4 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))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(/ x (PI)) |
(/.f32 x (PI.f32)) |
(* x (+ (* 1/6 (* (pow x 2) (PI))) (/ 1 (PI)))) |
(*.f32 x (+.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(* x (+ (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (pow (PI) 3)) (* 1/120 (pow (PI) 3))))) (* -1/6 (PI)))) (/ 1 (PI)))) |
(*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 7/360 binary32))) (*.f32 (PI.f32) #s(literal 1/6 binary32)))))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (pow (PI) 5)) (+ (* 1/720 (pow (PI) 5)) (* 1/6 (* (pow (PI) 2) (+ (* -1/36 (pow (PI) 3)) (* 1/120 (pow (PI) 3))))))))) (+ (* -1/36 (pow (PI) 3)) (* 1/120 (pow (PI) 3))))) (* -1/6 (PI)))) (/ 1 (PI)))) |
(*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) (+.f32 (*.f32 (+.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -7/360 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/840 binary32))) (*.f32 #s(literal -1 binary32) (*.f32 x x))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 7/360 binary32)))) (*.f32 (PI.f32) #s(literal 1/6 binary32)))))) |
(/ (pow x 2) (sin (* x (PI)))) |
(/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32)))) |
(/ (pow x 2) (sin (* x (PI)))) |
(/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32)))) |
(/ (pow x 2) (sin (* x (PI)))) |
(/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32)))) |
(/ (pow x 2) (sin (* x (PI)))) |
(/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32)))) |
(/ (pow x 2) (sin (* x (PI)))) |
(/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32)))) |
(/ (pow x 2) (sin (* x (PI)))) |
(/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32)))) |
(/ (pow x 2) (sin (* x (PI)))) |
(/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32)))) |
(/ (pow x 2) (sin (* x (PI)))) |
(/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32)))) |
Compiled 98313 to 8559 computations (91.3% saved)
70 alts after pruning (68 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3556 | 55 | 3611 |
| Fresh | 14 | 13 | 27 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 3574 | 70 | 3644 |
| Status | Accuracy | Program |
|---|---|---|
| 97.8% | (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) x) | |
| 97.4% | (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (PI.f32) tau)) | |
| 67.5% | (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (*.f32 (*.f32 x x) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) | |
| 67.5% | (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))) #s(literal 2 binary32))) x) | |
| 86.1% | (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) tau) | |
| 86.5% | (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (PI.f32) tau)) x) | |
| 86.0% | (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 x (PI.f32))) tau) | |
| 86.1% | (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32))) | |
| 97.4% | (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) | |
| 97.6% | (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (*.f32 (/.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (PI.f32))) | |
| 64.9% | (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x) | |
| 97.9% | (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) | |
| 97.4% | (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 x (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) | |
| 97.0% | (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (/.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32))))))) | |
| 97.3% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) x) | |
| 96.3% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) tau))) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) x) | |
| 97.7% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32)))) x) | |
| 96.0% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) (log.f32 (E.f32))))) (*.f32 x (PI.f32)))) x) | |
| 86.5% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))) x) | |
| 71.4% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) #s(literal 1 binary32)) x) | |
| ▶ | 97.7% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) x)) |
| 86.1% | (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) | |
| ✓ | 97.2% | (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
| 71.2% | (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) | |
| 64.7% | (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) | |
| 91.4% | (/.f32 (*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal -1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) x) | |
| 79.8% | (/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) x) | |
| 64.0% | (/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) | |
| 86.4% | (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) | |
| 86.6% | (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))) | |
| 86.4% | (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (PI.f32) tau)))) | |
| 86.1% | (/.f32 #s(literal 1 binary32) (/.f32 tau (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))) | |
| 80.1% | (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))) | |
| ▶ | 64.9% | (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) |
| 81.3% | (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))))))) | |
| 86.2% | (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (*.f32 x tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 86.1% | (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (*.f32 x (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 86.1% | (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 86.0% | (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) | |
| 86.1% | (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (/.f32 #s(literal 1 binary32) tau)) | |
| 80.2% | (*.f32 (/.f32 (*.f32 x (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 80.5% | (*.f32 (/.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 86.2% | (*.f32 (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 85.5% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 86.2% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 86.2% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) x)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| ▶ | 97.9% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)) |
| 71.4% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32)) | |
| 97.5% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) | |
| 86.2% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 86.2% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 86.5% | (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) x)) | |
| 86.2% | (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) tau)) | |
| 97.6% | (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau))) | |
| 86.0% | (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x (PI.f32)))) | |
| 86.4% | (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) tau) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 80.7% | (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) | |
| 81.1% | (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 86.1% | (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (/.f32 #s(literal 1 binary32) tau)) | |
| ▶ | 86.1% | (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) |
| 86.7% | (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))) | |
| 64.8% | (*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) | |
| 64.9% | (*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 92.6% | (exp.f32 (*.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32))) (log.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 (PI.f32) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))))))) #s(literal -1 binary32))) | |
| ▶ | 81.8% | (exp.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal 1/6 binary32) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))))) #s(literal -1 binary32))) |
| 81.8% | (exp.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))) | |
| 93.4% | (exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))) #s(literal -1 binary32))) | |
| 93.0% | (exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32))))))) #s(literal -1 binary32))) | |
| 92.9% | (exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x x))) (/.f32 tau (sin.f32 (*.f32 x (PI.f32)))))) #s(literal -1 binary32))) | |
| ✓ | 64.1% | #s(literal 1 binary32) |
Compiled 3454 to 2096 computations (39.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f32 (*.f32 x (PI.f32))) |
| ✓ | cost-diff | 0 | (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) |
| ✓ | cost-diff | 0 | (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) |
| ✓ | cost-diff | 0 | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) x)) |
| ✓ | cost-diff | 0 | (*.f32 x (*.f32 (PI.f32) tau)) |
| ✓ | cost-diff | 0 | (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) |
| ✓ | cost-diff | 128 | (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
| ✓ | cost-diff | 128 | (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) |
| ✓ | cost-diff | 0 | (*.f32 x x) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 x x) (*.f32 #s(literal 1/6 binary32) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))))) |
| ✓ | cost-diff | 64 | (*.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal 1/6 binary32) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))))) #s(literal -1 binary32)) |
| ✓ | cost-diff | 64 | (exp.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal 1/6 binary32) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))))) #s(literal -1 binary32))) |
| ✓ | cost-diff | 0 | (*.f32 x x) |
| ✓ | cost-diff | 0 | (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) |
| ✓ | cost-diff | 0 | (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) |
| ✓ | 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 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)) |
| 4898× | *-lowering-*.f32 |
| 4898× | *-lowering-*.f64 |
| 1616× | /-lowering-/.f32 |
| 1616× | /-lowering-/.f64 |
| 1544× | +-lowering-+.f64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 341 |
| 1 | 128 | 332 |
| 2 | 462 | 324 |
| 3 | 2143 | 313 |
| 4 | 5103 | 311 |
| 0 | 8396 | 311 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* x (PI))) (PI)) x)) |
(/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) |
(sin (* (* x (PI)) tau)) |
(* (* x (PI)) tau) |
(* x (PI)) |
x |
(PI) |
tau |
(/ (/ (sin (* x (PI))) (PI)) x) |
(/ (sin (* x (PI))) (PI)) |
(sin (* x (PI))) |
(+ 1 (* (* -1/6 (* x x)) (* (PI) (PI)))) |
1 |
(* (* -1/6 (* x x)) (* (PI) (PI))) |
(* -1/6 (* x x)) |
-1/6 |
(* x x) |
x |
(* (PI) (PI)) |
(PI) |
(exp (* (* (* x x) (* 1/6 (* (+ (* tau tau) 1) (* (PI) (PI))))) -1)) |
(* (* (* x x) (* 1/6 (* (+ (* tau tau) 1) (* (PI) (PI))))) -1) |
(* (* x x) (* 1/6 (* (+ (* tau tau) 1) (* (PI) (PI))))) |
(* x x) |
x |
(* 1/6 (* (+ (* tau tau) 1) (* (PI) (PI)))) |
1/6 |
(* (+ (* tau tau) 1) (* (PI) (PI))) |
(+ (* tau tau) 1) |
(* tau tau) |
tau |
1 |
(* (PI) (PI)) |
(PI) |
-1 |
(* (sin (* x (* (PI) tau))) (* (/ (/ 1 (* x (PI))) tau) (+ 1 (* x (* x (* -1/6 (* (PI) (PI)))))))) |
(sin (* x (* (PI) tau))) |
(* x (* (PI) tau)) |
x |
(* (PI) tau) |
(PI) |
tau |
(* (/ (/ 1 (* x (PI))) tau) (+ 1 (* x (* x (* -1/6 (* (PI) (PI))))))) |
(/ (/ 1 (* x (PI))) tau) |
(/ 1 (* x (PI))) |
1 |
(* x (PI)) |
(+ 1 (* x (* x (* -1/6 (* (PI) (PI)))))) |
(* x (* x (* -1/6 (* (PI) (PI))))) |
(* x (* -1/6 (* (PI) (PI)))) |
(* -1/6 (* (PI) (PI))) |
-1/6 |
(* (PI) (PI)) |
(/ (* (/ (sin (* x (PI))) (* (PI) tau)) (sin (* x (* (PI) tau)))) (* (* x (PI)) x)) |
(* (/ (sin (* x (PI))) (* (PI) tau)) (sin (* x (* (PI) tau)))) |
(/ (sin (* x (PI))) (* (PI) tau)) |
(sin (* x (PI))) |
(* x (PI)) |
x |
(PI) |
(* (PI) tau) |
tau |
(sin (* x (* (PI) tau))) |
(* x (* (PI) tau)) |
(* (* x (PI)) x) |
| Outputs |
|---|
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* x (PI))) (PI)) x)) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))) |
(/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) |
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) |
(sin (* (* x (PI)) tau)) |
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) |
(* (* x (PI)) tau) |
(*.f32 x (*.f32 (PI.f32) tau)) |
(* x (PI)) |
(*.f32 x (PI.f32)) |
x |
(PI) |
(PI.f32) |
tau |
(/ (/ (sin (* x (PI))) (PI)) x) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(/ (sin (* x (PI))) (PI)) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) |
(sin (* x (PI))) |
(sin.f32 (*.f32 x (PI.f32))) |
(+ 1 (* (* -1/6 (* x x)) (* (PI) (PI)))) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))) |
1 |
#s(literal 1 binary32) |
(* (* -1/6 (* x x)) (* (PI) (PI))) |
(*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) |
(* -1/6 (* x x)) |
(*.f32 x (*.f32 x #s(literal -1/6 binary32))) |
-1/6 |
#s(literal -1/6 binary32) |
(* x x) |
(*.f32 x x) |
x |
(* (PI) (PI)) |
(*.f32 (PI.f32) (PI.f32)) |
(PI) |
(PI.f32) |
(exp (* (* (* x x) (* 1/6 (* (+ (* tau tau) 1) (* (PI) (PI))))) -1)) |
(exp.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 #s(literal -1/6 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau))))))) |
(* (* (* x x) (* 1/6 (* (+ (* tau tau) 1) (* (PI) (PI))))) -1) |
(*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 #s(literal -1/6 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)))))) |
(* (* x x) (* 1/6 (* (+ (* tau tau) 1) (* (PI) (PI))))) |
(*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 #s(literal 1/6 binary32) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))))) |
(* x x) |
(*.f32 x x) |
x |
(* 1/6 (* (+ (* tau tau) 1) (* (PI) (PI)))) |
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 #s(literal 1/6 binary32) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))))) |
1/6 |
#s(literal 1/6 binary32) |
(* (+ (* tau tau) 1) (* (PI) (PI))) |
(*.f32 (PI.f32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))) |
(+ (* tau tau) 1) |
(+.f32 #s(literal 1 binary32) (*.f32 tau tau)) |
(* tau tau) |
(*.f32 tau tau) |
tau |
1 |
#s(literal 1 binary32) |
(* (PI) (PI)) |
(*.f32 (PI.f32) (PI.f32)) |
(PI) |
(PI.f32) |
-1 |
#s(literal -1 binary32) |
(* (sin (* x (* (PI) tau))) (* (/ (/ 1 (* x (PI))) tau) (+ 1 (* x (* x (* -1/6 (* (PI) (PI)))))))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32)))) tau) |
(sin (* x (* (PI) tau))) |
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) |
(* x (* (PI) tau)) |
(*.f32 x (*.f32 (PI.f32) tau)) |
x |
(* (PI) tau) |
(*.f32 (PI.f32) tau) |
(PI) |
(PI.f32) |
tau |
(* (/ (/ 1 (* x (PI))) tau) (+ 1 (* x (* x (* -1/6 (* (PI) (PI))))))) |
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))) tau) |
(/ (/ 1 (* x (PI))) tau) |
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) |
(/ 1 (* x (PI))) |
(/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) |
1 |
#s(literal 1 binary32) |
(* x (PI)) |
(*.f32 x (PI.f32)) |
(+ 1 (* x (* x (* -1/6 (* (PI) (PI)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))) |
(* x (* x (* -1/6 (* (PI) (PI))))) |
(*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) |
(* x (* -1/6 (* (PI) (PI)))) |
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) |
(* -1/6 (* (PI) (PI))) |
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) |
-1/6 |
#s(literal -1/6 binary32) |
(* (PI) (PI)) |
(*.f32 (PI.f32) (PI.f32)) |
(/ (* (/ (sin (* x (PI))) (* (PI) tau)) (sin (* x (* (PI) tau)))) (* (* x (PI)) x)) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))) |
(* (/ (sin (* x (PI))) (* (PI) tau)) (sin (* x (* (PI) tau)))) |
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau))) |
(/ (sin (* x (PI))) (* (PI) tau)) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) |
(sin (* x (PI))) |
(sin.f32 (*.f32 x (PI.f32))) |
(* x (PI)) |
(*.f32 x (PI.f32)) |
x |
(PI) |
(PI.f32) |
(* (PI) tau) |
(*.f32 (PI.f32) tau) |
tau |
(sin (* x (* (PI) tau))) |
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) |
(* x (* (PI) tau)) |
(*.f32 x (*.f32 (PI.f32) tau)) |
(* (* x (PI)) x) |
(*.f32 (PI.f32) (*.f32 x x)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 98.9% | (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) |
| ✓ | accuracy | 98.8% | (*.f32 (PI.f32) tau) |
| ✓ | accuracy | 98.8% | (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) |
| ✓ | accuracy | 98.6% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) x)) |
| ✓ | accuracy | 99.0% | (*.f32 x (PI.f32)) |
| ✓ | accuracy | 98.8% | (*.f32 (PI.f32) tau) |
| ✓ | accuracy | 98.6% | (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) |
| ✓ | accuracy | 96.9% | (*.f32 (PI.f32) (PI.f32)) |
| ✓ | accuracy | 98.8% | (*.f32 (*.f32 x x) (*.f32 #s(literal 1/6 binary32) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))))) |
| ✓ | accuracy | 98.7% | (*.f32 #s(literal 1/6 binary32) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))) |
| ✓ | accuracy | 98.6% | (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) |
| ✓ | accuracy | 96.9% | (*.f32 (PI.f32) (PI.f32)) |
| ✓ | accuracy | 99.9% | (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) |
| ✓ | accuracy | 98.8% | (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) |
| ✓ | accuracy | 98.8% | (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) |
| ✓ | accuracy | 96.9% | (*.f32 (PI.f32) (PI.f32)) |
| ✓ | accuracy | 99.0% | (*.f32 (*.f32 x (PI.f32)) tau) |
| ✓ | accuracy | 99.0% | (*.f32 x (PI.f32)) |
| ✓ | accuracy | 98.9% | (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) |
| ✓ | accuracy | 98.8% | (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) |
| 250.0ms | 256× | 0 | valid |
Compiled 383 to 43 computations (88.8% saved)
ival-mult: 30.0ms (41.9% of total)ival-sin: 13.0ms (18.2% of total)ival-div: 11.0ms (15.4% of total)...c/correct-round.rkt:119:19: 7.0ms (9.8% of total)ival-add: 4.0ms (5.6% of total)ival-exp: 4.0ms (5.6% of total)ival-pi: 1.0ms (1.4% of total)const: 1.0ms (1.4% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* x (PI))) (PI)) x))> |
#<alt (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau))> |
#<alt (sin (* (* x (PI)) tau))> |
#<alt (* (* x (PI)) tau)> |
#<alt (+ 1 (* (* -1/6 (* x x)) (* (PI) (PI))))> |
#<alt (* (* -1/6 (* x x)) (* (PI) (PI)))> |
#<alt (* -1/6 (* x x))> |
#<alt (* x x)> |
#<alt (exp (* (* (* x x) (* 1/6 (* (+ (* tau tau) 1) (* (PI) (PI))))) -1))> |
#<alt (* (* (* x x) (* 1/6 (* (+ (* tau tau) 1) (* (PI) (PI))))) -1)> |
#<alt (* (* x x) (* 1/6 (* (+ (* tau tau) 1) (* (PI) (PI)))))> |
#<alt (* (sin (* x (* (PI) tau))) (* (/ (/ 1 (* x (PI))) tau) (+ 1 (* x (* x (* -1/6 (* (PI) (PI))))))))> |
#<alt (* (/ (/ 1 (* x (PI))) tau) (+ 1 (* x (* x (* -1/6 (* (PI) (PI)))))))> |
#<alt (sin (* x (* (PI) tau)))> |
#<alt (* x (* (PI) tau))> |
#<alt (/ (* (/ (sin (* x (PI))) (* (PI) tau)) (sin (* x (* (PI) tau)))) (* (* x (PI)) x))> |
#<alt (* (/ (sin (* x (PI))) (* (PI) tau)) (sin (* x (* (PI) tau))))> |
#<alt (/ (sin (* x (PI))) (* (PI) tau))> |
#<alt (sin (* x (PI)))> |
#<alt (/ (sin (* x (PI))) (PI))> |
#<alt (* x (PI))> |
#<alt (* (PI) (PI))> |
#<alt (* (+ (* tau tau) 1) (* (PI) (PI)))> |
#<alt (* 1/6 (* (+ (* tau tau) 1) (* (PI) (PI))))> |
#<alt (* (PI) tau)> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))> |
#<alt (+ 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))))))))))> |
#<alt (+ 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))))))))))))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (sin (* x (PI))) (* x (PI)))> |
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))> |
#<alt (+ (* (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))))> |
#<alt (+ (* (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))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))> |
#<alt (+ 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))))))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))> |
#<alt (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))> |
#<alt (+ 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))))))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))> |
#<alt (* tau (* x (PI)))> |
#<alt (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))> |
#<alt (* 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))))))))> |
#<alt (* 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)))))))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))> |
#<alt (* 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))))))))> |
#<alt (* 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)))))))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (sin (* tau (* x (PI))))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt (* tau (* x (PI)))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))> |
#<alt (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))> |
#<alt (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))> |
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))> |
#<alt (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))> |
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))> |
#<alt (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))> |
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))> |
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))> |
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))> |
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))> |
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))> |
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))> |
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))> |
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))> |
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))> |
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))> |
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))> |
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))> |
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (* 1/72 (* (pow x 2) (* (pow (PI) 4) (pow (+ 1 (pow tau 2)) 2)))))))> |
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (* (pow x 2) (+ (* -1/1296 (* (pow x 2) (* (pow (PI) 6) (pow (+ 1 (pow tau 2)) 3)))) (* 1/72 (* (pow (PI) 4) (pow (+ 1 (pow tau 2)) 2))))))))> |
#<alt (exp (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))> |
#<alt (exp (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))> |
#<alt (exp (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))> |
#<alt (exp (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))> |
#<alt (exp (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))> |
#<alt (exp (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))> |
#<alt (exp (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))> |
#<alt (exp (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))> |
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#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (PI)))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (PI)))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (PI)))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (PI)))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (PI)))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (PI)))> |
#<alt (/ x tau)> |
#<alt (* x (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau)))> |
#<alt (* x (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau)))> |
#<alt (* 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)))> |
#<alt (/ (sin (* x (PI))) (* tau (PI)))> |
#<alt (/ (sin (* x (PI))) (* tau (PI)))> |
#<alt (/ (sin (* x (PI))) (* tau (PI)))> |
#<alt (/ (sin (* x (PI))) (* tau (PI)))> |
#<alt (/ (sin (* x (PI))) (* tau (PI)))> |
#<alt (/ (sin (* x (PI))) (* tau (PI)))> |
#<alt (/ (sin (* x (PI))) (* tau (PI)))> |
#<alt (/ (sin (* x (PI))) (* tau (PI)))> |
#<alt (/ (sin (* x (PI))) (* tau (PI)))> |
#<alt (/ (sin (* x (PI))) (* tau (PI)))> |
#<alt (/ (sin (* x (PI))) (* tau (PI)))> |
#<alt (/ (sin (* x (PI))) (* tau (PI)))> |
#<alt (/ (sin (* x (PI))) (* tau (PI)))> |
#<alt (/ (sin (* x (PI))) (* tau (PI)))> |
#<alt (/ (sin (* x (PI))) (* tau (PI)))> |
#<alt (/ (sin (* x (PI))) (* tau (PI)))> |
#<alt (/ (sin (* x (PI))) (* tau (PI)))> |
#<alt (/ (sin (* x (PI))) (* tau (PI)))> |
#<alt (/ (sin (* x (PI))) (* tau (PI)))> |
#<alt (/ (sin (* x (PI))) (* tau (PI)))> |
#<alt (* x (PI))> |
#<alt (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))> |
#<alt (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))> |
#<alt (* 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))))))))> |
#<alt (sin (* x (PI)))> |
#<alt (sin (* x (PI)))> |
#<alt (sin (* x (PI)))> |
#<alt (sin (* x (PI)))> |
#<alt (sin (* x (PI)))> |
#<alt (sin (* x (PI)))> |
#<alt (sin (* x (PI)))> |
#<alt (sin (* x (PI)))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))))> |
#<alt (* x (+ 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))))))))> |
#<alt (/ (sin (* x (PI))) (PI))> |
#<alt (/ (sin (* x (PI))) (PI))> |
#<alt (/ (sin (* x (PI))) (PI))> |
#<alt (/ (sin (* x (PI))) (PI))> |
#<alt (/ (sin (* x (PI))) (PI))> |
#<alt (/ (sin (* x (PI))) (PI))> |
#<alt (/ (sin (* x (PI))) (PI))> |
#<alt (/ (sin (* x (PI))) (PI))> |
#<alt (* x (PI))> |
#<alt (* x (PI))> |
#<alt (* x (PI))> |
#<alt (* x (PI))> |
#<alt (* x (PI))> |
#<alt (* x (PI))> |
#<alt (* x (PI))> |
#<alt (* x (PI))> |
#<alt (* x (PI))> |
#<alt (* x (PI))> |
#<alt (* x (PI))> |
#<alt (* x (PI))> |
#<alt (pow (PI) 2)> |
#<alt (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2))> |
#<alt (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2))> |
#<alt (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2))> |
#<alt (* (pow tau 2) (pow (PI) 2))> |
#<alt (* (pow tau 2) (+ (/ (pow (PI) 2) (pow tau 2)) (pow (PI) 2)))> |
#<alt (* (pow tau 2) (+ (/ (pow (PI) 2) (pow tau 2)) (pow (PI) 2)))> |
#<alt (* (pow tau 2) (+ (/ (pow (PI) 2) (pow tau 2)) (pow (PI) 2)))> |
#<alt (* (pow tau 2) (pow (PI) 2))> |
#<alt (* (pow tau 2) (+ (/ (pow (PI) 2) (pow tau 2)) (pow (PI) 2)))> |
#<alt (* (pow tau 2) (+ (/ (pow (PI) 2) (pow tau 2)) (pow (PI) 2)))> |
#<alt (* (pow tau 2) (+ (/ (pow (PI) 2) (pow tau 2)) (pow (PI) 2)))> |
#<alt (* 1/6 (pow (PI) 2))> |
#<alt (+ (* 1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/6 (pow (PI) 2)))> |
#<alt (+ (* 1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/6 (pow (PI) 2)))> |
#<alt (+ (* 1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/6 (pow (PI) 2)))> |
#<alt (* 1/6 (* (pow tau 2) (pow (PI) 2)))> |
#<alt (* (pow tau 2) (+ (* 1/6 (/ (pow (PI) 2) (pow tau 2))) (* 1/6 (pow (PI) 2))))> |
#<alt (* (pow tau 2) (+ (* 1/6 (/ (pow (PI) 2) (pow tau 2))) (* 1/6 (pow (PI) 2))))> |
#<alt (* (pow tau 2) (+ (* 1/6 (/ (pow (PI) 2) (pow tau 2))) (* 1/6 (pow (PI) 2))))> |
#<alt (* 1/6 (* (pow tau 2) (pow (PI) 2)))> |
#<alt (* (pow tau 2) (+ (* 1/6 (/ (pow (PI) 2) (pow tau 2))) (* 1/6 (pow (PI) 2))))> |
#<alt (* (pow tau 2) (+ (* 1/6 (/ (pow (PI) 2) (pow tau 2))) (* 1/6 (pow (PI) 2))))> |
#<alt (* (pow tau 2) (+ (* 1/6 (/ (pow (PI) 2) (pow tau 2))) (* 1/6 (pow (PI) 2))))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
114 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | inf | (/ (sin (* x (PI))) (PI)) |
| 3.0ms | tau | @ | 0 | (* (/ (sin (* x (PI))) (* (PI) tau)) (sin (* x (* (PI) tau)))) |
| 1.0ms | x | @ | 0 | (* (* (* x x) (* 1/6 (* (+ (* tau tau) 1) (* (PI) (PI))))) -1) |
| 1.0ms | tau | @ | -inf | (* (/ (sin (* x (PI))) (* (PI) tau)) (sin (* x (* (PI) tau)))) |
| 1.0ms | tau | @ | 0 | (exp (* (* (* x x) (* 1/6 (* (+ (* tau tau) 1) (* (PI) (PI))))) -1)) |
| 1× | batch-egg-rewrite |
| 4316× | *-lowering-*.f32 |
| 4316× | *-lowering-*.f64 |
| 3190× | /-lowering-/.f32 |
| 3190× | /-lowering-/.f64 |
| 1046× | sum5-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 234 |
| 1 | 203 | 224 |
| 2 | 1335 | 220 |
| 3 | 7591 | 211 |
| 0 | 8135 | 211 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* x (PI))) (PI)) x)) |
(/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) |
(sin (* (* x (PI)) tau)) |
(* (* x (PI)) tau) |
(+ 1 (* (* -1/6 (* x x)) (* (PI) (PI)))) |
(* (* -1/6 (* x x)) (* (PI) (PI))) |
(* -1/6 (* x x)) |
(* x x) |
(exp (* (* (* x x) (* 1/6 (* (+ (* tau tau) 1) (* (PI) (PI))))) -1)) |
(* (* (* x x) (* 1/6 (* (+ (* tau tau) 1) (* (PI) (PI))))) -1) |
(* (* x x) (* 1/6 (* (+ (* tau tau) 1) (* (PI) (PI))))) |
(* (sin (* x (* (PI) tau))) (* (/ (/ 1 (* x (PI))) tau) (+ 1 (* x (* x (* -1/6 (* (PI) (PI)))))))) |
(* (/ (/ 1 (* x (PI))) tau) (+ 1 (* x (* x (* -1/6 (* (PI) (PI))))))) |
(sin (* x (* (PI) tau))) |
(* x (* (PI) tau)) |
(/ (* (/ (sin (* x (PI))) (* (PI) tau)) (sin (* x (* (PI) tau)))) (* (* x (PI)) x)) |
(* (/ (sin (* x (PI))) (* (PI) tau)) (sin (* x (* (PI) tau)))) |
(/ (sin (* x (PI))) (* (PI) tau)) |
(sin (* x (PI))) |
(/ (sin (* x (PI))) (PI)) |
(* x (PI)) |
(* (PI) (PI)) |
(* (+ (* tau tau) 1) (* (PI) (PI))) |
(* 1/6 (* (+ (* tau tau) 1) (* (PI) (PI)))) |
(* (PI) tau) |
| Outputs |
|---|
(neg.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (*.f32 (PI.f32) (neg.f32 x))) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (PI.f32))))))) |
(neg.f32 (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))) |
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))) |
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (neg.f32 x))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))) |
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (neg.f32 x))))) |
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (neg.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))))) |
(neg.f32 (*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (*.f32 (PI.f32) (neg.f32 x))) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (PI.f32)))))))) |
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) (/.f32 (/.f32 (/.f32 #s(literal -1 binary32) x) (PI.f32)) tau))) |
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))))) |
(neg.f32 (/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))) |
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32))) (/.f32 x (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))))) |
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (neg.f32 x))) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) |
(neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 x (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau)))))) |
(neg.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (neg.f32 x))) |
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))))) |
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (PI.f32)))))))) |
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (neg.f32 (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) |
(neg.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32))) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) x)) |
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 x (*.f32 (PI.f32) tau)))) |
(neg.f32 (/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 x (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) (*.f32 (PI.f32) tau))) |
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 x (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (PI.f32))))))) #s(literal -1 binary32))) |
(pow.f32 (/.f32 (*.f32 x (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (PI.f32)))))) #s(literal -1 binary32)) |
(-.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (*.f32 (PI.f32) (neg.f32 x))) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (PI.f32))))))) |
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 x (*.f32 (PI.f32) (neg.f32 x)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (*.f32 (PI.f32) (neg.f32 x))) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (PI.f32))))))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 x (PI.f32)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 x (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))) (PI.f32))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 x (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (neg.f32 (/.f32 (neg.f32 x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (PI.f32))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 x (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (neg.f32 x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x tau) (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 x (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (PI.f32)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau)))) (neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (*.f32 x (*.f32 x (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))))) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (neg.f32 x)) (neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) (neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 x (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 tau (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (*.f32 x (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (PI.f32)))))) |
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(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) |
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/3 binary32)))) |
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (/.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/3 binary32))) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) |
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 1 binary32))) |
(*.f32 (neg.f32 (PI.f32)) (neg.f32 tau)) |
(*.f32 (neg.f32 tau) (neg.f32 (PI.f32))) |
(*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) |
(*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 1 binary32))) |
(*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) |
(*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) |
(*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) |
| 1× | egg-herbie |
| 6880× | *-lowering-*.f32 |
| 6880× | *-lowering-*.f64 |
| 2018× | +-lowering-+.f64 |
| 2018× | +-lowering-+.f32 |
| 1812× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 460 | 6518 |
| 1 | 1663 | 5643 |
| 2 | 7226 | 5618 |
| 0 | 8607 | 5618 |
| 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)))))))))))))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (sin (* x (PI))) (* 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)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
1 |
(+ 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)))))))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
1 |
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))) |
(+ 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)))))))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) |
(* 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))))))))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(* tau (* x (PI))) |
(* 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 (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
1 |
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) |
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) |
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) |
(* -1/6 (* (pow x 2) (pow (PI) 2))) |
(* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2)))) |
(* -1/6 (* (pow x 2) (pow (PI) 2))) |
(* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2)))) |
(* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2)))) |
(* -1/6 (* (pow x 2) (pow (PI) 2))) |
(* -1/6 (* (pow x 2) (pow (PI) 2))) |
(* -1/6 (* (pow x 2) (pow (PI) 2))) |
(* -1/6 (* (pow x 2) (pow (PI) 2))) |
(* -1/6 (* (pow x 2) (pow (PI) 2))) |
(* -1/6 (* (pow x 2) (pow (PI) 2))) |
(* -1/6 (* (pow x 2) (pow (PI) 2))) |
(* -1/6 (* (pow x 2) (pow (PI) 2))) |
(* -1/6 (* (pow x 2) (pow (PI) 2))) |
(* -1/6 (* (pow x 2) (pow (PI) 2))) |
(* -1/6 (* (pow x 2) (pow (PI) 2))) |
(* -1/6 (* (pow x 2) (pow (PI) 2))) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
1 |
(+ 1 (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (* 1/72 (* (pow x 2) (* (pow (PI) 4) (pow (+ 1 (pow tau 2)) 2))))))) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (* (pow x 2) (+ (* -1/1296 (* (pow x 2) (* (pow (PI) 6) (pow (+ 1 (pow tau 2)) 3)))) (* 1/72 (* (pow (PI) 4) (pow (+ 1 (pow tau 2)) 2)))))))) |
(exp (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))) |
(exp (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))) |
(exp (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))) |
(exp (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))) |
(exp (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))) |
(exp (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))) |
(exp (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))) |
(exp (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))) |
(exp (* -1/6 (* (pow x 2) (pow (PI) 2)))) |
(+ (exp (* -1/6 (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (exp (* -1/6 (* (pow x 2) (pow (PI) 2))))))))) |
(+ (exp (* -1/6 (* (pow x 2) (pow (PI) 2)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (exp (* -1/6 (* (pow x 2) (pow (PI) 2))))))) (* 1/72 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (exp (* -1/6 (* (pow x 2) (pow (PI) 2))))))))))) |
(+ (exp (* -1/6 (* (pow x 2) (pow (PI) 2)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (exp (* -1/6 (* (pow x 2) (pow (PI) 2))))))) (* (pow tau 2) (+ (* -1/1296 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (exp (* -1/6 (* (pow x 2) (pow (PI) 2)))))))) (* 1/72 (* (pow x 4) (* (pow (PI) 4) (exp (* -1/6 (* (pow x 2) (pow (PI) 2)))))))))))) |
(exp (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))) |
(exp (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))) |
(exp (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))) |
(exp (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))) |
(exp (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))) |
(exp (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))) |
(exp (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))) |
(exp (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))) |
(* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))) |
(* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))) |
(* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))) |
(* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))) |
(* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))) |
(* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))) |
(* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))) |
(* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))) |
(* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))) |
(* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))) |
(* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))) |
(* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))) |
(* -1/6 (* (pow x 2) (pow (PI) 2))) |
(+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))) |
(+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))) |
(+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))) |
(* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) |
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))))) |
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))))) |
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))))) |
(* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) |
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))))) |
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))))) |
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))))) |
(* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))) |
(* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))) |
(* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))) |
(* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))) |
(* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))) |
(* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))) |
(* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))) |
(* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))) |
(* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))) |
(* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))) |
(* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))) |
(* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))) |
(* 1/6 (* (pow x 2) (pow (PI) 2))) |
(+ (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* 1/6 (* (pow x 2) (pow (PI) 2)))) |
(+ (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* 1/6 (* (pow x 2) (pow (PI) 2)))) |
(+ (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* 1/6 (* (pow x 2) (pow (PI) 2)))) |
(* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) |
(* (pow tau 2) (+ (* 1/6 (* (pow x 2) (pow (PI) 2))) (* 1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))))) |
(* (pow tau 2) (+ (* 1/6 (* (pow x 2) (pow (PI) 2))) (* 1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))))) |
(* (pow tau 2) (+ (* 1/6 (* (pow x 2) (pow (PI) 2))) (* 1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))))) |
(* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) |
(* (pow tau 2) (+ (* 1/6 (* (pow x 2) (pow (PI) 2))) (* 1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))))) |
(* (pow tau 2) (+ (* 1/6 (* (pow x 2) (pow (PI) 2))) (* 1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))))) |
(* (pow tau 2) (+ (* 1/6 (* (pow x 2) (pow (PI) 2))) (* 1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))))) |
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))) (* 1/36 (* (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))) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (* -1/5040 (* (pow tau 6) (pow (PI) 6)))))))))))) |
(* -1/6 (/ (* x (* (PI) (sin (* tau (* x (PI)))))) tau)) |
(* x (+ (* -1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI)))))) |
(* x (+ (* -1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI)))))) |
(* x (+ (* -1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI)))))) |
(* -1/6 (/ (* x (* (PI) (sin (* tau (* x (PI)))))) tau)) |
(* -1 (* x (+ (* -1 (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))) (* 1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau))))) |
(* -1 (* x (+ (* -1 (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))) (* 1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau))))) |
(* -1 (* x (+ (* -1 (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))) (* 1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau))))) |
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) |
(+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))) (* -1/6 (* (pow x 2) (pow (PI) 2))))) |
(+ 1 (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))))))) |
(+ 1 (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))))))))) |
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI)))) |
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI)))) |
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI)))) |
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI)))) |
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI)))) |
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI)))) |
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI)))) |
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI)))) |
(/ 1 (* tau (* x (PI)))) |
(/ (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI)))) x) |
(/ (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI)))) x) |
(/ (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI)))) x) |
(* -1/6 (/ (* x (PI)) tau)) |
(* x (+ (* -1/6 (/ (PI) tau)) (/ 1 (* tau (* (pow x 2) (PI)))))) |
(* x (+ (* -1/6 (/ (PI) tau)) (/ 1 (* tau (* (pow x 2) (PI)))))) |
(* x (+ (* -1/6 (/ (PI) tau)) (/ 1 (* tau (* (pow x 2) (PI)))))) |
(* -1/6 (/ (* x (PI)) tau)) |
(* -1 (* x (- (* 1/6 (/ (PI) tau)) (/ 1 (* tau (* (pow x 2) (PI))))))) |
(* -1 (* x (- (* 1/6 (/ (PI) tau)) (/ 1 (* tau (* (pow x 2) (PI))))))) |
(* -1 (* x (- (* 1/6 (/ (PI) tau)) (/ 1 (* tau (* (pow x 2) (PI))))))) |
(/ (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) (* tau (* x (PI)))) |
(/ (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) (* tau (* x (PI)))) |
(/ (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) (* tau (* x (PI)))) |
(/ (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) (* tau (* x (PI)))) |
(/ (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) (* tau (* x (PI)))) |
(/ (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) (* tau (* x (PI)))) |
(/ (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) (* tau (* x (PI)))) |
(/ (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) (* tau (* x (PI)))) |
(/ (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) (* tau (* x (PI)))) |
(/ (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) (* tau (* x (PI)))) |
(/ (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) (* tau (* x (PI)))) |
(/ (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) (* tau (* x (PI)))) |
(* 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))))))))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(* tau (* x (PI))) |
(* 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 (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
(* tau (* x (PI))) |
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)))))))))))))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (sin (* x (PI))) (* 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)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(* (pow x 2) (PI)) |
(* (pow x 2) (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3)))))) |
(* (pow x 2) (+ (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) (+ (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))))))))))))))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (PI))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (PI))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (PI))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (PI))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (PI))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (PI))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (PI))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (PI))) |
(* x (sin (* x (PI)))) |
(+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 2) (sin (* x (PI))))))) (* x (sin (* x (PI))))) |
(+ (* x (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 4) (sin (* x (PI)))))))))) |
(+ (* x (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 4) (sin (* x (PI))))))))))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (PI))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (PI))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (PI))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (PI))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (PI))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (PI))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (PI))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (PI))) |
(/ x 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))) |
(/ (sin (* x (PI))) (* tau (PI))) |
(/ (sin (* x (PI))) (* tau (PI))) |
(/ (sin (* x (PI))) (* tau (PI))) |
(/ (sin (* x (PI))) (* tau (PI))) |
(/ (sin (* x (PI))) (* tau (PI))) |
(/ (sin (* x (PI))) (* tau (PI))) |
(/ (sin (* x (PI))) (* tau (PI))) |
(/ (sin (* x (PI))) (* tau (PI))) |
(/ (sin (* x (PI))) (* tau (PI))) |
(/ (sin (* x (PI))) (* tau (PI))) |
(/ (sin (* x (PI))) (* tau (PI))) |
(/ (sin (* x (PI))) (* tau (PI))) |
(/ (sin (* x (PI))) (* tau (PI))) |
(/ (sin (* x (PI))) (* tau (PI))) |
(/ (sin (* x (PI))) (* tau (PI))) |
(/ (sin (* x (PI))) (* tau (PI))) |
(/ (sin (* x (PI))) (* tau (PI))) |
(/ (sin (* x (PI))) (* tau (PI))) |
(/ (sin (* x (PI))) (* tau (PI))) |
(/ (sin (* x (PI))) (* tau (PI))) |
(* 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 (* x (PI))) |
(sin (* x (PI))) |
(sin (* x (PI))) |
(sin (* x (PI))) |
(sin (* x (PI))) |
(sin (* x (PI))) |
(sin (* x (PI))) |
(sin (* x (PI))) |
x |
(* x (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) |
(* x (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))) |
(* x (+ 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)))))))) |
(/ (sin (* x (PI))) (PI)) |
(/ (sin (* x (PI))) (PI)) |
(/ (sin (* x (PI))) (PI)) |
(/ (sin (* x (PI))) (PI)) |
(/ (sin (* x (PI))) (PI)) |
(/ (sin (* x (PI))) (PI)) |
(/ (sin (* x (PI))) (PI)) |
(/ (sin (* x (PI))) (PI)) |
(* x (PI)) |
(* x (PI)) |
(* x (PI)) |
(* x (PI)) |
(* x (PI)) |
(* x (PI)) |
(* x (PI)) |
(* x (PI)) |
(* x (PI)) |
(* x (PI)) |
(* x (PI)) |
(* x (PI)) |
(pow (PI) 2) |
(+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2)) |
(+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2)) |
(+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2)) |
(* (pow tau 2) (pow (PI) 2)) |
(* (pow tau 2) (+ (/ (pow (PI) 2) (pow tau 2)) (pow (PI) 2))) |
(* (pow tau 2) (+ (/ (pow (PI) 2) (pow tau 2)) (pow (PI) 2))) |
(* (pow tau 2) (+ (/ (pow (PI) 2) (pow tau 2)) (pow (PI) 2))) |
(* (pow tau 2) (pow (PI) 2)) |
(* (pow tau 2) (+ (/ (pow (PI) 2) (pow tau 2)) (pow (PI) 2))) |
(* (pow tau 2) (+ (/ (pow (PI) 2) (pow tau 2)) (pow (PI) 2))) |
(* (pow tau 2) (+ (/ (pow (PI) 2) (pow tau 2)) (pow (PI) 2))) |
(* 1/6 (pow (PI) 2)) |
(+ (* 1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/6 (pow (PI) 2))) |
(+ (* 1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/6 (pow (PI) 2))) |
(+ (* 1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/6 (pow (PI) 2))) |
(* 1/6 (* (pow tau 2) (pow (PI) 2))) |
(* (pow tau 2) (+ (* 1/6 (/ (pow (PI) 2) (pow tau 2))) (* 1/6 (pow (PI) 2)))) |
(* (pow tau 2) (+ (* 1/6 (/ (pow (PI) 2) (pow tau 2))) (* 1/6 (pow (PI) 2)))) |
(* (pow tau 2) (+ (* 1/6 (/ (pow (PI) 2) (pow tau 2))) (* 1/6 (pow (PI) 2)))) |
(* 1/6 (* (pow tau 2) (pow (PI) 2))) |
(* (pow tau 2) (+ (* 1/6 (/ (pow (PI) 2) (pow tau 2))) (* 1/6 (pow (PI) 2)))) |
(* (pow tau 2) (+ (* 1/6 (/ (pow (PI) 2) (pow tau 2))) (* 1/6 (pow (PI) 2)))) |
(* (pow tau 2) (+ (* 1/6 (/ (pow (PI) 2) (pow tau 2))) (* 1/6 (pow (PI) 2)))) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
| Outputs |
|---|
1 |
#s(literal 1 binary32) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 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)))))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) (+.f32 (*.f32 (pow.f32 tau #s(literal 4 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 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)))))))))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) (+.f32 (*.f32 (pow.f32 tau #s(literal 4 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (+.f32 (pow.f32 tau #s(literal 6 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (+.f32 (*.f32 (*.f32 tau tau) #s(literal -1/720 binary32)) (*.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal -1/720 binary32))))))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI)))) |
(+.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 x (*.f32 tau tau)) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))) |
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(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
Compiled 51544 to 4302 computations (91.7% saved)
105 alts after pruning (101 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2110 | 51 | 2161 |
| Fresh | 13 | 50 | 63 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 1 | 2 |
| Total | 2126 | 105 | 2231 |
| Status | Accuracy | Program |
|---|---|---|
| 64.9% | (fma.f32 (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (PI.f32) #s(literal 1 binary32)) | |
| 97.8% | (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) x) | |
| 97.4% | (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (PI.f32) tau)) | |
| 67.5% | (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))) #s(literal 2 binary32))) x) | |
| 86.1% | (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) tau) | |
| 86.5% | (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (PI.f32) tau)) x) | |
| ▶ | 86.1% | (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32))) |
| 97.4% | (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) | |
| 97.6% | (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (*.f32 (/.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (PI.f32))) | |
| 64.9% | (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x) | |
| ▶ | 97.9% | (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) |
| 97.4% | (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 x (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) | |
| 97.0% | (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (/.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32))))))) | |
| 67.6% | (/.f32 (-.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (*.f32 x (PI.f32)))) #s(literal 2 binary32))) | |
| 86.1% | (/.f32 (*.f32 (/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) x)) | |
| 97.2% | (/.f32 (*.f32 (/.f32 (sin.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) x))) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) x)) | |
| 97.3% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) x) | |
| 96.3% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) tau))) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) x) | |
| 97.7% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32)))) x) | |
| 96.0% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) (log.f32 (E.f32))))) (*.f32 x (PI.f32)))) x) | |
| 86.5% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))) x) | |
| 71.4% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) #s(literal 1 binary32)) x) | |
| 64.6% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (*.f32 x (PI.f32)) x)) | |
| 97.3% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) (sin.f32 (/.f32 tau (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))))) (*.f32 (*.f32 x (PI.f32)) x)) | |
| ✓ | 97.7% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) x)) |
| 71.1% | (/.f32 (*.f32 (/.f32 x tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) x)) | |
| 85.9% | (/.f32 (*.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 x (*.f32 x (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) tau))))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) x)) | |
| 86.1% | (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) | |
| 71.2% | (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) | |
| ▶ | 64.7% | (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
| 79.8% | (/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) x) | |
| 64.0% | (/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) | |
| 86.2% | (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 tau (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x (PI.f32))))) | |
| 86.6% | (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))) | |
| 81.3% | (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau))))))) | |
| 64.9% | (+.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) | |
| 64.9% | (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) #s(literal -1/6 binary32))) | |
| 64.9% | (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)))) | |
| 80.1% | (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))) | |
| ✓ | 64.9% | (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) |
| 80.1% | (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) | |
| 81.3% | (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))))))) | |
| 81.3% | (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 tau tau)))))) | |
| 86.1% | (*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) tau) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) | |
| 86.2% | (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (*.f32 x tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 97.6% | (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)) | |
| 86.1% | (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (*.f32 x (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 86.1% | (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 86.0% | (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) | |
| 97.2% | (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (pow.f32 (/.f32 x (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (PI.f32)))))) #s(literal -1 binary32))) | |
| 86.1% | (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))) | |
| 80.2% | (*.f32 (/.f32 (*.f32 x (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 80.5% | (*.f32 (/.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 86.2% | (*.f32 (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 96.4% | (*.f32 (/.f32 (sin.f32 (*.f32 (-.f32 (/.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) x)) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)) | |
| 85.5% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 86.2% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 86.2% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) x)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 71.4% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32)) | |
| 97.5% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) | |
| 86.2% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 97.6% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)) | |
| 86.2% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 97.9% | (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)) | |
| 86.5% | (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) x)) | |
| 86.2% | (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) tau)) | |
| 80.7% | (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) | |
| 81.1% | (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 86.1% | (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (/.f32 #s(literal 1 binary32) tau)) | |
| 64.7% | (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) | |
| 80.1% | (*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) | |
| 80.3% | (*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (PI.f32)) (*.f32 x (*.f32 x x))))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) | |
| 86.0% | (*.f32 (sin.f32 (/.f32 tau (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) | |
| 86.1% | (*.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) tau))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) | |
| 86.1% | (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) | |
| 86.5% | (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 x tau)))) | |
| 86.1% | (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x (PI.f32))) tau)) | |
| 86.2% | (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (PI.f32)))) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x)) | |
| 85.9% | (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) tau) (*.f32 tau (/.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32))))) (*.f32 tau tau))) | |
| 86.0% | (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) (*.f32 tau (/.f32 #s(literal 1 binary32) x))) (*.f32 tau (*.f32 (PI.f32) tau)))) | |
| 86.3% | (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) tau) (*.f32 tau (*.f32 x (*.f32 (PI.f32) tau))))) | |
| 85.9% | (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32))) x) (*.f32 tau (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))) (*.f32 x tau))) | |
| ▶ | 85.6% | (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) |
| 85.7% | (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau))))) | |
| 86.3% | (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (/.f32 #s(literal 1 binary32) x)) (*.f32 (PI.f32) tau))) | |
| 86.5% | (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))) | |
| 71.1% | (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))) | |
| ✓ | 86.1% | (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) |
| 86.1% | (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau))) | |
| 85.9% | (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) tau)))))) | |
| 86.7% | (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))) | |
| ▶ | 4.4% | (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) |
| 64.8% | (*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) | |
| 92.6% | (exp.f32 (*.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32))) (log.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 (PI.f32) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))))))) #s(literal -1 binary32))) | |
| 81.8% | (exp.f32 (*.f32 (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau))) (neg.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32)))))) | |
| 81.8% | (exp.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) (neg.f32 (*.f32 (PI.f32) (PI.f32))))) | |
| 81.8% | (exp.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32)) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (neg.f32 (PI.f32)))) | |
| 81.8% | (exp.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))) (neg.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32))))) | |
| 81.8% | (exp.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau))))) | |
| 81.8% | (exp.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))) #s(literal -1/6 binary32))) | |
| 81.8% | (exp.f32 (*.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))))) x)) | |
| 93.4% | (exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))) #s(literal -1 binary32))) | |
| 92.9% | (exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x x))) (/.f32 tau (sin.f32 (*.f32 x (PI.f32)))))) #s(literal -1 binary32))) | |
| 81.8% | (exp.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) | |
| ✓ | 64.1% | #s(literal 1 binary32) |
Compiled 5259 to 3189 computations (39.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 320 | (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) |
| ✓ | cost-diff | 320 | (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
| ✓ | cost-diff | 320 | (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))) |
| ✓ | cost-diff | 320 | (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) |
| ✓ | cost-diff | 0 | (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) |
| ✓ | cost-diff | 0 | (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
| ✓ | cost-diff | 0 | (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) |
| ✓ | cost-diff | 0 | (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32))) |
| ✓ | cost-diff | 0 | (*.f32 x (PI.f32)) |
| ✓ | cost-diff | 0 | (sin.f32 (*.f32 x (PI.f32))) |
| ✓ | cost-diff | 0 | (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (PI.f32)) x)) |
| ✓ | cost-diff | 256 | (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
| ✓ | cost-diff | 0 | (*.f32 (PI.f32) (PI.f32)) |
| ✓ | cost-diff | 0 | (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) |
| ✓ | cost-diff | 0 | (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) |
| ✓ | cost-diff | 0 | (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) |
| ✓ | cost-diff | 0 | (*.f32 x (PI.f32)) |
| ✓ | cost-diff | 0 | (sin.f32 (*.f32 x (PI.f32))) |
| ✓ | cost-diff | 0 | (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) |
| ✓ | cost-diff | 0 | (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) |
| 4852× | *-lowering-*.f32 |
| 4852× | *-lowering-*.f64 |
| 3340× | fma-define |
| 2166× | *-commutative |
| 1988× | /-lowering-/.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 406 |
| 1 | 111 | 382 |
| 2 | 403 | 348 |
| 3 | 1990 | 346 |
| 4 | 2968 | 345 |
| 5 | 3655 | 345 |
| 6 | 4232 | 345 |
| 7 | 4320 | 345 |
| 8 | 4432 | 345 |
| 9 | 5314 | 345 |
| 10 | 6035 | 345 |
| 11 | 6276 | 345 |
| 12 | 7246 | 345 |
| 13 | 7772 | 345 |
| 14 | 7900 | 345 |
| 15 | 7900 | 345 |
| 0 | 8180 | 345 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (sin (* x (PI))) x) (/ (* (PI) (* x (* (PI) tau))) (sin (* x (* (PI) tau))))) |
(/ (sin (* x (PI))) x) |
(sin (* x (PI))) |
(* x (PI)) |
x |
(PI) |
(/ (* (PI) (* x (* (PI) tau))) (sin (* x (* (PI) tau)))) |
(* (PI) (* x (* (PI) tau))) |
(* x (* (PI) tau)) |
(* (PI) tau) |
tau |
(sin (* x (* (PI) tau))) |
(* x (* x (* -1/6 (* (PI) (PI))))) |
x |
(* x (* -1/6 (* (PI) (PI)))) |
(* -1/6 (* (PI) (PI))) |
-1/6 |
(* (PI) (PI)) |
(PI) |
(/ (* (sin (* x (PI))) (/ (* tau (PI)) x)) (* (PI) (* (PI) tau))) |
(* (sin (* x (PI))) (/ (* tau (PI)) x)) |
(sin (* x (PI))) |
(* x (PI)) |
x |
(PI) |
(/ (* tau (PI)) x) |
(* tau (PI)) |
tau |
(* (PI) (* (PI) tau)) |
(* (PI) tau) |
(/ (/ (* (sin (* x (* (PI) tau))) (+ 1 (* x (* x (* -1/6 (* (PI) (PI))))))) tau) (* x (PI))) |
(/ (* (sin (* x (* (PI) tau))) (+ 1 (* x (* x (* -1/6 (* (PI) (PI))))))) tau) |
(* (sin (* x (* (PI) tau))) (+ 1 (* x (* x (* -1/6 (* (PI) (PI))))))) |
(sin (* x (* (PI) tau))) |
(* x (* (PI) tau)) |
x |
(* (PI) tau) |
(PI) |
tau |
(+ 1 (* x (* x (* -1/6 (* (PI) (PI)))))) |
1 |
(* x (* x (* -1/6 (* (PI) (PI))))) |
(* x (* -1/6 (* (PI) (PI)))) |
(* -1/6 (* (PI) (PI))) |
-1/6 |
(* (PI) (PI)) |
(* x (PI)) |
(* (sin (* x (* (PI) tau))) (/ (+ (* (/ 1 (* (PI) tau)) (* x (* (PI) tau))) (* x (* x (* x (* -1/6 (* (PI) (PI))))))) (* (* x (PI)) (* x tau)))) |
(sin (* x (* (PI) tau))) |
(* x (* (PI) tau)) |
x |
(* (PI) tau) |
(PI) |
tau |
(/ (+ (* (/ 1 (* (PI) tau)) (* x (* (PI) tau))) (* x (* x (* x (* -1/6 (* (PI) (PI))))))) (* (* x (PI)) (* x tau))) |
(+ (* (/ 1 (* (PI) tau)) (* x (* (PI) tau))) (* x (* x (* x (* -1/6 (* (PI) (PI))))))) |
(* (/ 1 (* (PI) tau)) (* x (* (PI) tau))) |
(/ 1 (* (PI) tau)) |
1 |
(* x (* x (* x (* -1/6 (* (PI) (PI)))))) |
(* x (* x (* -1/6 (* (PI) (PI))))) |
(* x (* -1/6 (* (PI) (PI)))) |
(* -1/6 (* (PI) (PI))) |
-1/6 |
(* (PI) (PI)) |
(* (* x (PI)) (* x tau)) |
(* x (PI)) |
(* x tau) |
| Outputs |
|---|
(/ (/ (sin (* x (PI))) x) (/ (* (PI) (* x (* (PI) tau))) (sin (* x (* (PI) tau))))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) |
(/ (sin (* x (PI))) x) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) x) |
(sin (* x (PI))) |
(sin.f32 (*.f32 x (PI.f32))) |
(* x (PI)) |
(*.f32 x (PI.f32)) |
x |
(PI) |
(PI.f32) |
(/ (* (PI) (* x (* (PI) tau))) (sin (* x (* (PI) tau)))) |
(/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) |
(* (PI) (* x (* (PI) tau))) |
(*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) |
(* x (* (PI) tau)) |
(*.f32 x (*.f32 (PI.f32) tau)) |
(* (PI) tau) |
(*.f32 (PI.f32) tau) |
tau |
(sin (* x (* (PI) tau))) |
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) |
(* x (* x (* -1/6 (* (PI) (PI))))) |
(*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))))) |
x |
(* x (* -1/6 (* (PI) (PI)))) |
(*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)))) |
(* -1/6 (* (PI) (PI))) |
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) |
-1/6 |
#s(literal -1/6 binary32) |
(* (PI) (PI)) |
(*.f32 (PI.f32) (PI.f32)) |
(PI) |
(PI.f32) |
(/ (* (sin (* x (PI))) (/ (* tau (PI)) x)) (* (PI) (* (PI) tau))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(* (sin (* x (PI))) (/ (* tau (PI)) x)) |
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 (PI.f32) tau) x)) |
(sin (* x (PI))) |
(sin.f32 (*.f32 x (PI.f32))) |
(* x (PI)) |
(*.f32 x (PI.f32)) |
x |
(PI) |
(PI.f32) |
(/ (* tau (PI)) x) |
(/.f32 (*.f32 (PI.f32) tau) x) |
(* tau (PI)) |
(*.f32 (PI.f32) tau) |
tau |
(* (PI) (* (PI) tau)) |
(*.f32 (PI.f32) (*.f32 (PI.f32) tau)) |
(* (PI) tau) |
(*.f32 (PI.f32) tau) |
(/ (/ (* (sin (* x (* (PI) tau))) (+ 1 (* x (* x (* -1/6 (* (PI) (PI))))))) tau) (* x (PI))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))) (*.f32 x (*.f32 (PI.f32) tau))) |
(/ (* (sin (* x (* (PI) tau))) (+ 1 (* x (* x (* -1/6 (* (PI) (PI))))))) tau) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))) tau) |
(* (sin (* x (* (PI) tau))) (+ 1 (* x (* x (* -1/6 (* (PI) (PI))))))) |
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))) |
(sin (* x (* (PI) tau))) |
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) |
(* x (* (PI) tau)) |
(*.f32 x (*.f32 (PI.f32) tau)) |
x |
(* (PI) tau) |
(*.f32 (PI.f32) tau) |
(PI) |
(PI.f32) |
tau |
(+ 1 (* x (* x (* -1/6 (* (PI) (PI)))))) |
(+.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32)) |
1 |
#s(literal 1 binary32) |
(* x (* x (* -1/6 (* (PI) (PI))))) |
(*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))))) |
(* x (* -1/6 (* (PI) (PI)))) |
(*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)))) |
(* -1/6 (* (PI) (PI))) |
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) |
-1/6 |
#s(literal -1/6 binary32) |
(* (PI) (PI)) |
(*.f32 (PI.f32) (PI.f32)) |
(* x (PI)) |
(*.f32 x (PI.f32)) |
(* (sin (* x (* (PI) tau))) (/ (+ (* (/ 1 (* (PI) tau)) (* x (* (PI) tau))) (* x (* x (* x (* -1/6 (* (PI) (PI))))))) (* (* x (PI)) (* x tau)))) |
(/.f32 (*.f32 x (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) |
(sin (* x (* (PI) tau))) |
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) |
(* x (* (PI) tau)) |
(*.f32 x (*.f32 (PI.f32) tau)) |
x |
(* (PI) tau) |
(*.f32 (PI.f32) tau) |
(PI) |
(PI.f32) |
tau |
(/ (+ (* (/ 1 (* (PI) tau)) (* x (* (PI) tau))) (* x (* x (* x (* -1/6 (* (PI) (PI))))))) (* (* x (PI)) (* x tau))) |
(/.f32 (*.f32 x (+.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) |
(+ (* (/ 1 (* (PI) tau)) (* x (* (PI) tau))) (* x (* x (* x (* -1/6 (* (PI) (PI))))))) |
(*.f32 x (+.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))) |
(* (/ 1 (* (PI) tau)) (* x (* (PI) tau))) |
x |
(/ 1 (* (PI) tau)) |
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) |
1 |
#s(literal 1 binary32) |
(* x (* x (* x (* -1/6 (* (PI) (PI)))))) |
(*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) |
(* x (* x (* -1/6 (* (PI) (PI))))) |
(*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))))) |
(* x (* -1/6 (* (PI) (PI)))) |
(*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)))) |
(* -1/6 (* (PI) (PI))) |
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) |
-1/6 |
#s(literal -1/6 binary32) |
(* (PI) (PI)) |
(*.f32 (PI.f32) (PI.f32)) |
(* (* x (PI)) (* x tau)) |
(*.f32 x (*.f32 x (*.f32 (PI.f32) tau))) |
(* x (PI)) |
(*.f32 x (PI.f32)) |
(* x tau) |
(*.f32 x tau) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.0% | (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)) |
| ✓ | accuracy | 98.8% | (*.f32 (PI.f32) tau) |
| ✓ | accuracy | 98.6% | (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) |
| ✓ | accuracy | 96.9% | (*.f32 (PI.f32) (PI.f32)) |
| ✓ | accuracy | 99.0% | (*.f32 x (PI.f32)) |
| ✓ | accuracy | 98.8% | (*.f32 (PI.f32) tau) |
| ✓ | accuracy | 98.7% | (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32))) |
| ✓ | accuracy | 96.9% | (*.f32 (PI.f32) (PI.f32)) |
| ✓ | accuracy | 98.8% | (*.f32 (PI.f32) tau) |
| ✓ | accuracy | 98.8% | (*.f32 tau (PI.f32)) |
| ✓ | accuracy | 98.8% | (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
| ✓ | accuracy | 98.8% | (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (PI.f32)) x)) |
| ✓ | accuracy | 100.0% | (PI.f32) |
| ✓ | accuracy | 99.8% | (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) |
| ✓ | accuracy | 99.1% | (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) |
| ✓ | accuracy | 96.9% | (*.f32 (PI.f32) (PI.f32)) |
| ✓ | accuracy | 98.9% | (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) |
| ✓ | accuracy | 98.8% | (*.f32 (PI.f32) tau) |
| ✓ | accuracy | 98.8% | (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) |
| ✓ | accuracy | 98.8% | (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) |
| 214.0ms | 256× | 0 | valid |
Compiled 448 to 36 computations (92% saved)
ival-mult: 28.0ms (45.9% of total)ival-div: 17.0ms (27.8% of total)ival-sin: 8.0ms (13.1% of total)...c/correct-round.rkt:119:19: 4.0ms (6.6% of total)ival-add: 2.0ms (3.3% of total)ival-pi: 1.0ms (1.6% of total)const: 1.0ms (1.6% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (/ (sin (* x (PI))) x) (/ (* (PI) (* x (* (PI) tau))) (sin (* x (* (PI) tau)))))> |
#<alt (/ (sin (* x (PI))) x)> |
#<alt (sin (* x (PI)))> |
#<alt (* x (PI))> |
#<alt (* x (* x (* -1/6 (* (PI) (PI)))))> |
#<alt (* x (* -1/6 (* (PI) (PI))))> |
#<alt (* -1/6 (* (PI) (PI)))> |
#<alt (* (PI) (PI))> |
#<alt (/ (* (sin (* x (PI))) (/ (* tau (PI)) x)) (* (PI) (* (PI) tau)))> |
#<alt (* (sin (* x (PI))) (/ (* tau (PI)) x))> |
#<alt (/ (/ (* (sin (* x (* (PI) tau))) (+ 1 (* x (* x (* -1/6 (* (PI) (PI))))))) tau) (* x (PI)))> |
#<alt (/ (* (sin (* x (* (PI) tau))) (+ 1 (* x (* x (* -1/6 (* (PI) (PI))))))) tau)> |
#<alt (* (sin (* x (* (PI) tau))) (+ 1 (* x (* x (* -1/6 (* (PI) (PI)))))))> |
#<alt (sin (* x (* (PI) tau)))> |
#<alt (* (sin (* x (* (PI) tau))) (/ (+ (* (/ 1 (* (PI) tau)) (* x (* (PI) tau))) (* x (* x (* x (* -1/6 (* (PI) (PI))))))) (* (* x (PI)) (* x tau))))> |
#<alt (/ (+ (* (/ 1 (* (PI) tau)) (* x (* (PI) tau))) (* x (* x (* x (* -1/6 (* (PI) (PI))))))) (* (* x (PI)) (* x tau)))> |
#<alt (+ (* (/ 1 (* (PI) tau)) (* x (* (PI) tau))) (* x (* x (* x (* -1/6 (* (PI) (PI)))))))> |
#<alt (* (/ 1 (* (PI) tau)) (* x (* (PI) tau)))> |
#<alt (* (PI) (* x (* (PI) tau)))> |
#<alt (/ (* (PI) (* x (* (PI) tau))) (sin (* x (* (PI) tau))))> |
#<alt (* (PI) tau)> |
#<alt (PI)> |
#<alt (* tau (PI))> |
#<alt (* (* x (PI)) (* x tau))> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))> |
#<alt (+ 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))))))))))> |
#<alt (+ 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))))))))))))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (sin (* x (PI))) (* x (PI)))> |
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))> |
#<alt (+ (* (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))))> |
#<alt (+ (* (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))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))> |
#<alt (PI)> |
#<alt (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))> |
#<alt (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5))))))> |
#<alt (+ (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)))))))> |
#<alt (/ (sin (* x (PI))) x)> |
#<alt (/ (sin (* x (PI))) x)> |
#<alt (/ (sin (* x (PI))) x)> |
#<alt (/ (sin (* x (PI))) x)> |
#<alt (/ (sin (* x (PI))) x)> |
#<alt (/ (sin (* x (PI))) x)> |
#<alt (/ (sin (* x (PI))) x)> |
#<alt (/ (sin (* x (PI))) x)> |
#<alt (* x (PI))> |
#<alt (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))> |
#<alt (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))> |
#<alt (* 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))))))))> |
#<alt (sin (* x (PI)))> |
#<alt (sin (* x (PI)))> |
#<alt (sin (* x (PI)))> |
#<alt (sin (* x (PI)))> |
#<alt (sin (* x (PI)))> |
#<alt (sin (* x (PI)))> |
#<alt (sin (* x (PI)))> |
#<alt (sin (* x (PI)))> |
#<alt (* x (PI))> |
#<alt (* x (PI))> |
#<alt (* x (PI))> |
#<alt (* x (PI))> |
#<alt (* x (PI))> |
#<alt (* x (PI))> |
#<alt (* x (PI))> |
#<alt (* x (PI))> |
#<alt (* x (PI))> |
#<alt (* x (PI))> |
#<alt (* x (PI))> |
#<alt (* x (PI))> |
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))> |
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))> |
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))> |
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))> |
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))> |
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))> |
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))> |
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))> |
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))> |
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))> |
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))> |
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))> |
#<alt (* -1/6 (* x (pow (PI) 2)))> |
#<alt (* -1/6 (* x (pow (PI) 2)))> |
#<alt (* -1/6 (* x (pow (PI) 2)))> |
#<alt (* -1/6 (* x (pow (PI) 2)))> |
#<alt (* -1/6 (* x (pow (PI) 2)))> |
#<alt (* -1/6 (* x (pow (PI) 2)))> |
#<alt (* -1/6 (* x (pow (PI) 2)))> |
#<alt (* -1/6 (* x (pow (PI) 2)))> |
#<alt (* -1/6 (* x (pow (PI) 2)))> |
#<alt (* -1/6 (* x (pow (PI) 2)))> |
#<alt (* -1/6 (* x (pow (PI) 2)))> |
#<alt (* -1/6 (* x (pow (PI) 2)))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))> |
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))> |
#<alt (+ 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)))))))> |
#<alt (/ (sin (* x (PI))) (* x (PI)))> |
#<alt (/ (sin (* x (PI))) (* x (PI)))> |
#<alt (/ (sin (* x (PI))) (* x (PI)))> |
#<alt (/ (sin (* x (PI))) (* x (PI)))> |
#<alt (/ (sin (* x (PI))) (* x (PI)))> |
#<alt (/ (sin (* x (PI))) (* x (PI)))> |
#<alt (/ (sin (* x (PI))) (* x (PI)))> |
#<alt (/ (sin (* x (PI))) (* x (PI)))> |
#<alt (/ (sin (* x (PI))) (* x (PI)))> |
#<alt (/ (sin (* x (PI))) (* x (PI)))> |
#<alt (/ (sin (* x (PI))) (* x (PI)))> |
#<alt (/ (sin (* x (PI))) (* x (PI)))> |
#<alt (/ (sin (* x (PI))) (* x (PI)))> |
#<alt (/ (sin (* x (PI))) (* x (PI)))> |
#<alt (/ (sin (* x (PI))) (* x (PI)))> |
#<alt (/ (sin (* x (PI))) (* x (PI)))> |
#<alt (/ (sin (* x (PI))) (* x (PI)))> |
#<alt (/ (sin (* x (PI))) (* x (PI)))> |
#<alt (/ (sin (* x (PI))) (* x (PI)))> |
#<alt (/ (sin (* x (PI))) (* x (PI)))> |
#<alt (* tau (pow (PI) 2))> |
#<alt (+ (* -1/6 (* tau (* (pow x 2) (pow (PI) 4)))) (* tau (pow (PI) 2)))> |
#<alt (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* 1/120 (* tau (* (pow x 2) (pow (PI) 6)))))))> |
#<alt (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* (pow x 2) (+ (* -1/5040 (* tau (* (pow x 2) (pow (PI) 8)))) (* 1/120 (* tau (pow (PI) 6))))))))> |
#<alt (/ (* tau (* (PI) (sin (* x (PI))))) x)> |
#<alt (/ (* tau (* (PI) (sin (* x (PI))))) x)> |
#<alt (/ (* tau (* (PI) (sin (* x (PI))))) x)> |
#<alt (/ (* tau (* (PI) (sin (* x (PI))))) x)> |
#<alt (/ (* tau (* (PI) (sin (* x (PI))))) x)> |
#<alt (/ (* tau (* (PI) (sin (* x (PI))))) x)> |
#<alt (/ (* tau (* (PI) (sin (* x (PI))))) x)> |
#<alt (/ (* tau (* (PI) (sin (* x (PI))))) x)> |
#<alt (/ (* tau (* (PI) (sin (* x (PI))))) x)> |
#<alt (/ (* tau (* (PI) (sin (* x (PI))))) x)> |
#<alt (/ (* tau (* (PI) (sin (* x (PI))))) x)> |
#<alt (/ (* tau (* (PI) (sin (* x (PI))))) x)> |
#<alt (/ (* tau (* (PI) (sin (* x (PI))))) x)> |
#<alt (/ (* tau (* (PI) (sin (* x (PI))))) x)> |
#<alt (/ (* tau (* (PI) (sin (* x (PI))))) x)> |
#<alt (/ (* tau (* (PI) (sin (* x (PI))))) x)> |
#<alt (/ (* tau (* (PI) (sin (* x (PI))))) x)> |
#<alt (/ (* tau (* (PI) (sin (* x (PI))))) x)> |
#<alt (/ (* tau (* (PI) (sin (* x (PI))))) x)> |
#<alt (/ (* tau (* (PI) (sin (* x (PI))))) x)> |
#<alt 1> |
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))> |
#<alt (+ 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))) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))))> |
#<alt (+ 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))) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (* -1/5040 (* (pow tau 6) (pow (PI) 6))))))))))))> |
#<alt (* -1/6 (/ (* x (* (PI) (sin (* tau (* x (PI)))))) tau))> |
#<alt (* x (+ (* -1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))))> |
#<alt (* x (+ (* -1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))))> |
#<alt (* x (+ (* -1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))))> |
#<alt (* -1/6 (/ (* x (* (PI) (sin (* tau (* x (PI)))))) tau))> |
#<alt (* -1 (* x (+ (* -1 (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))) (* 1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))) (* 1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))) (* 1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)))))> |
#<alt (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))> |
#<alt (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))> |
#<alt (+ 1 (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))))))))> |
#<alt (+ 1 (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))))))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))> |
#<alt (/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))> |
#<alt (* x (PI))> |
#<alt (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))> |
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#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))> |
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))> |
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))> |
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))> |
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (PI))> |
#<alt (* tau (* (pow x 2) (PI)))> |
#<alt (* tau (* (pow x 2) (PI)))> |
#<alt (* tau (* (pow x 2) (PI)))> |
#<alt (* tau (* (pow x 2) (PI)))> |
#<alt (* tau (* (pow x 2) (PI)))> |
#<alt (* tau (* (pow x 2) (PI)))> |
#<alt (* tau (* (pow x 2) (PI)))> |
#<alt (* tau (* (pow x 2) (PI)))> |
#<alt (* tau (* (pow x 2) (PI)))> |
#<alt (* tau (* (pow x 2) (PI)))> |
#<alt (* tau (* (pow x 2) (PI)))> |
#<alt (* tau (* (pow x 2) (PI)))> |
#<alt (* tau (* (pow x 2) (PI)))> |
#<alt (* tau (* (pow x 2) (PI)))> |
#<alt (* tau (* (pow x 2) (PI)))> |
#<alt (* tau (* (pow x 2) (PI)))> |
#<alt (* tau (* (pow x 2) (PI)))> |
#<alt (* tau (* (pow x 2) (PI)))> |
#<alt (* tau (* (pow x 2) (PI)))> |
#<alt (* tau (* (pow x 2) (PI)))> |
#<alt (* tau (* (pow x 2) (PI)))> |
#<alt (* tau (* (pow x 2) (PI)))> |
#<alt (* tau (* (pow x 2) (PI)))> |
#<alt (* tau (* (pow x 2) (PI)))> |
105 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (* (sin (* x (* (PI) tau))) (/ (+ (* (/ 1 (* (PI) tau)) (* x (* (PI) tau))) (* x (* x (* x (* -1/6 (* (PI) (PI))))))) (* (* x (PI)) (* x tau)))) |
| 2.0ms | tau | @ | inf | (* (sin (* x (* (PI) tau))) (/ (+ (* (/ 1 (* (PI) tau)) (* x (* (PI) tau))) (* x (* x (* x (* -1/6 (* (PI) (PI))))))) (* (* x (PI)) (* x tau)))) |
| 2.0ms | tau | @ | -inf | (* (sin (* x (* (PI) tau))) (/ (+ (* (/ 1 (* (PI) tau)) (* x (* (PI) tau))) (* x (* x (* x (* -1/6 (* (PI) (PI))))))) (* (* x (PI)) (* x tau)))) |
| 1.0ms | tau | @ | 0 | (* (sin (* x (* (PI) tau))) (/ (+ (* (/ 1 (* (PI) tau)) (* x (* (PI) tau))) (* x (* x (* x (* -1/6 (* (PI) (PI))))))) (* (* x (PI)) (* x tau)))) |
| 1.0ms | x | @ | -inf | (* (sin (* x (PI))) (/ (* tau (PI)) x)) |
| 1× | batch-egg-rewrite |
| 4406× | *-lowering-*.f32 |
| 4406× | *-lowering-*.f64 |
| 4110× | /-lowering-/.f32 |
| 4110× | /-lowering-/.f64 |
| 972× | frac-2neg |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 272 |
| 1 | 195 | 252 |
| 2 | 1369 | 210 |
| 3 | 7160 | 210 |
| 0 | 8214 | 210 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (sin (* x (PI))) x) (/ (* (PI) (* x (* (PI) tau))) (sin (* x (* (PI) tau))))) |
(/ (sin (* x (PI))) x) |
(sin (* x (PI))) |
(* x (PI)) |
(* x (* x (* -1/6 (* (PI) (PI))))) |
(* x (* -1/6 (* (PI) (PI)))) |
(* -1/6 (* (PI) (PI))) |
(* (PI) (PI)) |
(/ (* (sin (* x (PI))) (/ (* tau (PI)) x)) (* (PI) (* (PI) tau))) |
(* (sin (* x (PI))) (/ (* tau (PI)) x)) |
(/ (/ (* (sin (* x (* (PI) tau))) (+ 1 (* x (* x (* -1/6 (* (PI) (PI))))))) tau) (* x (PI))) |
(/ (* (sin (* x (* (PI) tau))) (+ 1 (* x (* x (* -1/6 (* (PI) (PI))))))) tau) |
(* (sin (* x (* (PI) tau))) (+ 1 (* x (* x (* -1/6 (* (PI) (PI))))))) |
(sin (* x (* (PI) tau))) |
(* (sin (* x (* (PI) tau))) (/ (+ (* (/ 1 (* (PI) tau)) (* x (* (PI) tau))) (* x (* x (* x (* -1/6 (* (PI) (PI))))))) (* (* x (PI)) (* x tau)))) |
(/ (+ (* (/ 1 (* (PI) tau)) (* x (* (PI) tau))) (* x (* x (* x (* -1/6 (* (PI) (PI))))))) (* (* x (PI)) (* x tau))) |
(+ (* (/ 1 (* (PI) tau)) (* x (* (PI) tau))) (* x (* x (* x (* -1/6 (* (PI) (PI))))))) |
(* (/ 1 (* (PI) tau)) (* x (* (PI) tau))) |
(* (PI) (* x (* (PI) tau))) |
(/ (* (PI) (* x (* (PI) tau))) (sin (* x (* (PI) tau)))) |
(* (PI) tau) |
(PI) |
(* tau (PI)) |
(* (* x (PI)) (* x tau)) |
| Outputs |
|---|
(neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (neg.f32 x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))))) |
(neg.f32 (*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (neg.f32 x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))))))) |
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)))) |
(neg.f32 (/.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) x)) |
(exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))) #s(literal -1 binary32))) |
(pow.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) #s(literal -1 binary32)) |
(-.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (neg.f32 x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))))) |
(-.f32 (/.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (neg.f32 x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))))) |
(-.f32 (/.f32 #s(literal 0 binary32) (/.f32 (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (neg.f32 x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 x (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 x))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) |
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 x (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))))) #s(literal 1 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))) |
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)))) |
(/.f32 #s(literal -1 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)))) |
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 x (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) |
(/.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (/.f32 x (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 (PI.f32) tau)))))) |
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (neg.f32 x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))))) |
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 (PI.f32) tau))))))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)) (/.f32 (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (/.f32 x (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) |
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 (PI.f32) tau))))) (/.f32 (neg.f32 x) (sin.f32 (*.f32 x (PI.f32))))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (*.f32 (/.f32 x (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (*.f32 (/.f32 x (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau)))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (*.f32 (/.f32 x (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) |
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) |
(/.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (neg.f32 x)) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) x) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (PI.f32)))) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 (PI.f32) tau)))))) (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (neg.f32 x) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 (PI.f32) tau))))) |
(/.f32 (neg.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) x) |
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)) #s(literal 1 binary32)) (/.f32 (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) |
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 (PI.f32) tau))))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))) |
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau)) |
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) |
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))) (PI.f32)) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 (PI.f32) tau)))))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x))) (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 (PI.f32) tau))))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (PI.f32))))) (*.f32 (PI.f32) tau)) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))) (PI.f32)) |
(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) x) |
(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) (neg.f32 x)) |
(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))) |
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))) #s(literal -1 binary32)) (/.f32 (neg.f32 x) (sin.f32 (*.f32 x (PI.f32))))) |
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) |
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 (PI.f32) tau)))))) |
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(*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 1 binary32)) |
(*.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (*.f32 x tau))) |
(*.f32 (neg.f32 x) (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 (PI.f32) tau)))) |
(*.f32 (*.f32 x (*.f32 x (PI.f32))) tau) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x tau)) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))) |
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x (PI.f32)))) (neg.f32 tau)) |
(*.f32 (*.f32 x (*.f32 x tau)) (PI.f32)) |
(*.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 x tau))) (*.f32 x (PI.f32))) |
(*.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x (PI.f32))))) tau) |
| 1× | egg-herbie |
| 7020× | *-lowering-*.f32 |
| 7020× | *-lowering-*.f64 |
| 3236× | +-lowering-+.f64 |
| 3236× | +-lowering-+.f32 |
| 1722× | associate-*l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 485 | 6224 |
| 1 | 1815 | 5432 |
| 2 | 6765 | 5430 |
| 0 | 8071 | 5430 |
| 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)))))))))))))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (sin (* x (PI))) (* 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)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(PI) |
(+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))) |
(+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))) |
(+ (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 (* x (PI))) x) |
(/ (sin (* x (PI))) x) |
(/ (sin (* x (PI))) x) |
(/ (sin (* x (PI))) x) |
(/ (sin (* x (PI))) x) |
(/ (sin (* x (PI))) x) |
(/ (sin (* x (PI))) x) |
(/ (sin (* x (PI))) x) |
(* 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 (* x (PI))) |
(sin (* x (PI))) |
(sin (* x (PI))) |
(sin (* x (PI))) |
(sin (* x (PI))) |
(sin (* x (PI))) |
(sin (* x (PI))) |
(sin (* x (PI))) |
(* x (PI)) |
(* x (PI)) |
(* x (PI)) |
(* x (PI)) |
(* x (PI)) |
(* x (PI)) |
(* x (PI)) |
(* x (PI)) |
(* x (PI)) |
(* x (PI)) |
(* x (PI)) |
(* x (PI)) |
(* -1/6 (* (pow x 2) (pow (PI) 2))) |
(* -1/6 (* (pow x 2) (pow (PI) 2))) |
(* -1/6 (* (pow x 2) (pow (PI) 2))) |
(* -1/6 (* (pow x 2) (pow (PI) 2))) |
(* -1/6 (* (pow x 2) (pow (PI) 2))) |
(* -1/6 (* (pow x 2) (pow (PI) 2))) |
(* -1/6 (* (pow x 2) (pow (PI) 2))) |
(* -1/6 (* (pow x 2) (pow (PI) 2))) |
(* -1/6 (* (pow x 2) (pow (PI) 2))) |
(* -1/6 (* (pow x 2) (pow (PI) 2))) |
(* -1/6 (* (pow x 2) (pow (PI) 2))) |
(* -1/6 (* (pow x 2) (pow (PI) 2))) |
(* -1/6 (* x (pow (PI) 2))) |
(* -1/6 (* x (pow (PI) 2))) |
(* -1/6 (* x (pow (PI) 2))) |
(* -1/6 (* x (pow (PI) 2))) |
(* -1/6 (* x (pow (PI) 2))) |
(* -1/6 (* x (pow (PI) 2))) |
(* -1/6 (* x (pow (PI) 2))) |
(* -1/6 (* x (pow (PI) 2))) |
(* -1/6 (* x (pow (PI) 2))) |
(* -1/6 (* x (pow (PI) 2))) |
(* -1/6 (* x (pow (PI) 2))) |
(* -1/6 (* x (pow (PI) 2))) |
1 |
(+ 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))))))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/ (sin (* x (PI))) (* x (PI))) |
(* tau (pow (PI) 2)) |
(+ (* -1/6 (* tau (* (pow x 2) (pow (PI) 4)))) (* tau (pow (PI) 2))) |
(+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* 1/120 (* tau (* (pow x 2) (pow (PI) 6))))))) |
(+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* (pow x 2) (+ (* -1/5040 (* tau (* (pow x 2) (pow (PI) 8)))) (* 1/120 (* tau (pow (PI) 6)))))))) |
(/ (* tau (* (PI) (sin (* x (PI))))) x) |
(/ (* tau (* (PI) (sin (* x (PI))))) x) |
(/ (* tau (* (PI) (sin (* x (PI))))) x) |
(/ (* tau (* (PI) (sin (* x (PI))))) x) |
(/ (* tau (* (PI) (sin (* x (PI))))) x) |
(/ (* tau (* (PI) (sin (* x (PI))))) x) |
(/ (* tau (* (PI) (sin (* x (PI))))) x) |
(/ (* tau (* (PI) (sin (* x (PI))))) x) |
(/ (* tau (* (PI) (sin (* x (PI))))) x) |
(/ (* tau (* (PI) (sin (* x (PI))))) x) |
(/ (* tau (* (PI) (sin (* x (PI))))) x) |
(/ (* tau (* (PI) (sin (* x (PI))))) x) |
(/ (* tau (* (PI) (sin (* x (PI))))) x) |
(/ (* tau (* (PI) (sin (* x (PI))))) x) |
(/ (* tau (* (PI) (sin (* x (PI))))) x) |
(/ (* tau (* (PI) (sin (* x (PI))))) x) |
(/ (* tau (* (PI) (sin (* x (PI))))) x) |
(/ (* tau (* (PI) (sin (* x (PI))))) x) |
(/ (* tau (* (PI) (sin (* x (PI))))) x) |
(/ (* tau (* (PI) (sin (* x (PI))))) x) |
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))) (* 1/36 (* (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))) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (* -1/5040 (* (pow tau 6) (pow (PI) 6)))))))))))) |
(* -1/6 (/ (* x (* (PI) (sin (* tau (* x (PI)))))) tau)) |
(* x (+ (* -1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI)))))) |
(* x (+ (* -1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI)))))) |
(* x (+ (* -1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI)))))) |
(* -1/6 (/ (* x (* (PI) (sin (* tau (* x (PI)))))) tau)) |
(* -1 (* x (+ (* -1 (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))) (* 1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau))))) |
(* -1 (* x (+ (* -1 (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))) (* 1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau))))) |
(* -1 (* x (+ (* -1 (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))) (* 1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau))))) |
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))) |
(+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))) (* -1/6 (* (pow x 2) (pow (PI) 2))))) |
(+ 1 (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))))))) |
(+ 1 (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))))))))) |
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI)))) |
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI)))) |
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI)))) |
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI)))) |
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI)))) |
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI)))) |
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI)))) |
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI)))) |
(* 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))) (* 1/36 (* (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))) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (* -1/5040 (* (pow tau 6) (pow (PI) 7))))))))))))) |
(* -1/6 (/ (* (pow x 2) (* (pow (PI) 2) (sin (* tau (* x (PI)))))) tau)) |
(* (pow x 2) (+ (* -1/6 (/ (* (pow (PI) 2) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (pow x 2))))) |
(* (pow x 2) (+ (* -1/6 (/ (* (pow (PI) 2) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (pow x 2))))) |
(* (pow x 2) (+ (* -1/6 (/ (* (pow (PI) 2) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (pow x 2))))) |
(* -1/6 (/ (* (pow x 2) (* (pow (PI) 2) (sin (* tau (* x (PI)))))) tau)) |
(* (pow x 2) (+ (* -1/6 (/ (* (pow (PI) 2) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (pow x 2))))) |
(* (pow x 2) (+ (* -1/6 (/ (* (pow (PI) 2) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (pow x 2))))) |
(* (pow x 2) (+ (* -1/6 (/ (* (pow (PI) 2) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (pow x 2))))) |
(* x (* (PI) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))) |
(+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))) (* x (* (PI) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))) |
(+ (* x (* (PI) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))))))) |
(+ (* x (* (PI) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))))))) |
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) tau) |
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) tau) |
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) tau) |
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) tau) |
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) tau) |
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) tau) |
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) tau) |
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) tau) |
(* 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 (* (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 (* (pow tau 5) (pow (PI) 5))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 5) (pow (PI) 7))) (* -1/5040 (* (pow tau 7) (pow (PI) 7))))))))))))) |
(* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* tau (* x (PI))))))) |
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (sin (* tau (* x (PI)))))) (/ (sin (* tau (* x (PI)))) (pow x 2)))) |
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (sin (* tau (* x (PI)))))) (/ (sin (* tau (* x (PI)))) (pow x 2)))) |
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (sin (* tau (* x (PI)))))) (/ (sin (* tau (* x (PI)))) (pow x 2)))) |
(* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* tau (* x (PI))))))) |
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (sin (* tau (* x (PI)))))) (/ (sin (* tau (* x (PI)))) (pow x 2)))) |
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (sin (* tau (* x (PI)))))) (/ (sin (* tau (* x (PI)))) (pow x 2)))) |
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (sin (* tau (* x (PI)))))) (/ (sin (* tau (* x (PI)))) (pow x 2)))) |
(* tau (* x (* (PI) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))) |
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))) (* x (* (PI) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))) |
(* tau (+ (* x (* (PI) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))))))) |
(* tau (+ (* x (* (PI) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))))))))) |
(* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) |
(* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) |
(* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) |
(* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) |
(* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) |
(* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) |
(* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) |
(* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) |
(* 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))))))))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(* tau (* x (PI))) |
(* 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 (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
(sin (* tau (* x (PI)))) |
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))) (* 1/36 (* (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))) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (* -1/5040 (* (pow tau 6) (pow (PI) 6)))))))))))) |
(* -1/6 (/ (* x (* (PI) (sin (* tau (* x (PI)))))) tau)) |
(* x (+ (* -1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI)))))) |
(* x (+ (* -1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI)))))) |
(* x (+ (* -1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI)))))) |
(* -1/6 (/ (* x (* (PI) (sin (* tau (* x (PI)))))) tau)) |
(* -1 (* x (+ (* -1 (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))) (* 1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau))))) |
(* -1 (* x (+ (* -1 (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))) (* 1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau))))) |
(* -1 (* x (+ (* -1 (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))) (* 1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau))))) |
(/ (+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) x) |
(+ 1 (+ (* -1/6 (* (pow tau 2) (* x (* (pow (PI) 2) (+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))))))) (* -1/6 (* (pow x 2) (pow (PI) 2))))) |
(+ 1 (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/6 (* x (* (pow (PI) 2) (+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 4) (+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))))))))))) |
(+ 1 (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/6 (* x (* (pow (PI) 2) (+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 6) (+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 4) (+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))))))))))) |
(/ (* (sin (* tau (* x (PI)))) (+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))) (* tau (* (pow x 2) (PI)))) |
(/ (* (sin (* tau (* x (PI)))) (+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))) (* tau (* (pow x 2) (PI)))) |
(/ (* (sin (* tau (* x (PI)))) (+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))) (* tau (* (pow x 2) (PI)))) |
(/ (* (sin (* tau (* x (PI)))) (+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))) (* tau (* (pow x 2) (PI)))) |
(/ (* (sin (* tau (* x (PI)))) (+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))) (* tau (* (pow x 2) (PI)))) |
(/ (* (sin (* tau (* x (PI)))) (+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))) (* tau (* (pow x 2) (PI)))) |
(/ (* (sin (* tau (* x (PI)))) (+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))) (* tau (* (pow x 2) (PI)))) |
(/ (* (sin (* tau (* x (PI)))) (+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))) (* tau (* (pow x 2) (PI)))) |
(/ (+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) (* tau (* (pow x 2) (PI)))) |
(/ (+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) (* tau (* (pow x 2) (PI)))) |
(/ (+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) (* tau (* (pow x 2) (PI)))) |
(/ (+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) (* tau (* (pow x 2) (PI)))) |
(/ (+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) (* tau (* (pow x 2) (PI)))) |
(/ (+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) (* tau (* (pow x 2) (PI)))) |
(/ (+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) (* tau (* (pow x 2) (PI)))) |
(/ (+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) (* tau (* (pow x 2) (PI)))) |
(/ (+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) (* tau (* (pow x 2) (PI)))) |
(/ (+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) (* tau (* (pow x 2) (PI)))) |
(/ (+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) (* tau (* (pow x 2) (PI)))) |
(/ (+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) (* tau (* (pow x 2) (PI)))) |
(/ 1 (* tau (* x (PI)))) |
(/ (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI)))) x) |
(/ (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI)))) x) |
(/ (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI)))) x) |
(* -1/6 (/ (* x (PI)) tau)) |
(* x (+ (* -1/6 (/ (PI) tau)) (/ 1 (* tau (* (pow x 2) (PI)))))) |
(* x (+ (* -1/6 (/ (PI) tau)) (/ 1 (* tau (* (pow x 2) (PI)))))) |
(* x (+ (* -1/6 (/ (PI) tau)) (/ 1 (* tau (* (pow x 2) (PI)))))) |
(* -1/6 (/ (* x (PI)) tau)) |
(* -1 (* x (- (* 1/6 (/ (PI) tau)) (/ 1 (* tau (* (pow x 2) (PI))))))) |
(* -1 (* x (- (* 1/6 (/ (PI) tau)) (/ 1 (* tau (* (pow x 2) (PI))))))) |
(* -1 (* x (- (* 1/6 (/ (PI) tau)) (/ 1 (* tau (* (pow x 2) (PI))))))) |
(+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) |
(+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) |
(+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) |
(+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) |
(+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) |
(+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) |
(+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) |
(+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) |
(+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) |
(+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) |
(+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) |
(+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) |
x |
(* x (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) |
(* x (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) |
(* x (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) |
(* -1/6 (* (pow x 3) (pow (PI) 2))) |
(* (pow x 3) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2)))) |
(* (pow x 3) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2)))) |
(* (pow x 3) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2)))) |
(* -1/6 (* (pow x 3) (pow (PI) 2))) |
(* -1 (* (pow x 3) (- (* 1/6 (pow (PI) 2)) (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- (* 1/6 (pow (PI) 2)) (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- (* 1/6 (pow (PI) 2)) (/ 1 (pow x 2))))) |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
(* tau (* x (pow (PI) 2))) |
(* tau (* x (pow (PI) 2))) |
(* tau (* x (pow (PI) 2))) |
(* tau (* x (pow (PI) 2))) |
(* tau (* x (pow (PI) 2))) |
(* tau (* x (pow (PI) 2))) |
(* tau (* x (pow (PI) 2))) |
(* tau (* x (pow (PI) 2))) |
(* tau (* x (pow (PI) 2))) |
(* tau (* x (pow (PI) 2))) |
(* tau (* x (pow (PI) 2))) |
(* tau (* x (pow (PI) 2))) |
(* tau (* x (pow (PI) 2))) |
(* tau (* x (pow (PI) 2))) |
(* tau (* x (pow (PI) 2))) |
(* tau (* x (pow (PI) 2))) |
(* tau (* x (pow (PI) 2))) |
(* tau (* x (pow (PI) 2))) |
(* tau (* x (pow (PI) 2))) |
(* tau (* x (pow (PI) 2))) |
(* tau (* x (pow (PI) 2))) |
(* tau (* x (pow (PI) 2))) |
(* tau (* x (pow (PI) 2))) |
(* tau (* x (pow (PI) 2))) |
(PI) |
(+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))) |
(+ (PI) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3)))))) |
(+ (PI) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (+ (* 1/720 (* (pow tau 6) (pow (PI) 7))) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3)))))) |
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI))))) |
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI))))) |
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI))))) |
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI))))) |
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI))))) |
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI))))) |
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI))))) |
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI))))) |
(PI) |
(+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))) |
(+ (PI) (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (* (pow x 4) (pow (PI) 5))) (* 1/120 (* (pow x 4) (pow (PI) 5)))))) (* -1/6 (* (pow x 2) (pow (PI) 3)))))) |
(+ (PI) (* (pow tau 2) (- (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/5040 (* (pow x 6) (pow (PI) 7))) (+ (* 1/720 (* (pow x 6) (pow (PI) 7))) (* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow x 4) (pow (PI) 5))) (* 1/120 (* (pow x 4) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow x 4) (pow (PI) 5))) (* 1/120 (* (pow x 4) (pow (PI) 5)))))) (* -1/6 (* (pow x 2) (pow (PI) 3)))))) |
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI))))) |
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI))))) |
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI))))) |
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI))))) |
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI))))) |
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI))))) |
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI))))) |
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI))))) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (PI)) |
(* tau (* (pow x 2) (PI))) |
(* tau (* (pow x 2) (PI))) |
(* tau (* (pow x 2) (PI))) |
(* tau (* (pow x 2) (PI))) |
(* tau (* (pow x 2) (PI))) |
(* tau (* (pow x 2) (PI))) |
(* tau (* (pow x 2) (PI))) |
(* tau (* (pow x 2) (PI))) |
(* tau (* (pow x 2) (PI))) |
(* tau (* (pow x 2) (PI))) |
(* tau (* (pow x 2) (PI))) |
(* tau (* (pow x 2) (PI))) |
(* tau (* (pow x 2) (PI))) |
(* tau (* (pow x 2) (PI))) |
(* tau (* (pow x 2) (PI))) |
(* tau (* (pow x 2) (PI))) |
(* tau (* (pow x 2) (PI))) |
(* tau (* (pow x 2) (PI))) |
(* tau (* (pow x 2) (PI))) |
(* tau (* (pow x 2) (PI))) |
(* tau (* (pow x 2) (PI))) |
(* tau (* (pow x 2) (PI))) |
(* tau (* (pow x 2) (PI))) |
(* tau (* (pow x 2) (PI))) |
| Outputs |
|---|
1 |
#s(literal 1 binary32) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 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)))))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (+.f32 (*.f32 (pow.f32 tau #s(literal 4 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 #s(literal 1/120 binary32) (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau))))))))) |
(+ 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)))))))))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (+.f32 (+.f32 (*.f32 (pow.f32 tau #s(literal 4 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 #s(literal 1/120 binary32) (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau))))) (*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (+.f32 (pow.f32 tau #s(literal 6 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 tau tau)) (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32))))))))))))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) |
(/ (sin (* x (PI))) (* x (PI))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI)))) |
(+.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) |
(+ (* (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)))) |
(+.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 tau tau))))))) |
(+ (* (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)))) |
(+.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (*.f32 tau tau) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 5 binary32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) |
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))) |
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(PI) |
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(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) tau) |
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) tau)) |
(* tau (* x (PI))) |
(*.f32 x (*.f32 tau (PI.f32))) |
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3))))))) |
(*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau)))))))) |
(* 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 (* (pow tau 5) (pow (PI) 5))) (* 1/36 (* (pow tau 3) (pow (PI) 5)))))))))) |
(*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau))))) (*.f32 x (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 tau (*.f32 tau tau))))))))))) |
(* 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 (* (pow tau 5) (pow (PI) 5))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 5) (pow (PI) 7))) (* -1/5040 (* (pow tau 7) (pow (PI) 7))))))))))))) |
(*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau))))) (*.f32 x (*.f32 x (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 tau (*.f32 tau tau))))) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 7 binary32))))))))))))) |
(* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* tau (* x (PI))))))) |
(*.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) |
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (sin (* tau (* x (PI)))))) (/ (sin (* tau (* x (PI)))) (pow x 2)))) |
(*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x x)))) |
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (sin (* tau (* x (PI)))))) (/ (sin (* tau (* x (PI)))) (pow x 2)))) |
(*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x x)))) |
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (sin (* tau (* x (PI)))))) (/ (sin (* tau (* x (PI)))) (pow x 2)))) |
(*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x x)))) |
(* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* tau (* x (PI))))))) |
(*.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) |
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (sin (* tau (* x (PI)))))) (/ (sin (* tau (* x (PI)))) (pow x 2)))) |
(*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x x)))) |
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (sin (* tau (* x (PI)))))) (/ (sin (* tau (* x (PI)))) (pow x 2)))) |
(*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x x)))) |
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (sin (* tau (* x (PI)))))) (/ (sin (* tau (* x (PI)))) (pow x 2)))) |
(*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x x)))) |
(* tau (* x (* (PI) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))) |
(*.f32 tau (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))) |
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))) (* x (* (PI) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))) |
(*.f32 tau (+.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))) |
(* tau (+ (* x (* (PI) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))))))) |
(*.f32 tau (+.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau))))))) |
(* tau (+ (* x (* (PI) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))))))))) |
(*.f32 tau (+.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (pow.f32 x #s(literal 7 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))) |
(* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) |
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) |
(* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) |
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) |
(* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) |
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) |
(* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) |
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) |
(* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) |
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) |
(* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) |
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) |
(* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) |
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) |
(* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) |
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) |
(* tau (* x (PI))) |
(*.f32 x (*.f32 tau (PI.f32))) |
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI)))) |
(*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal -1/6 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)))))))) |
(*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal -1/6 binary32))) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (*.f32 x (*.f32 x (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 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))))))))) |
(*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (+.f32 (*.f32 (pow.f32 tau #s(literal 5 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 (*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 7 binary32)))) (*.f32 (pow.f32 tau #s(literal 7 binary32)) #s(literal -1/5040 binary32))))))))) |
(sin (* tau (* x (PI)))) |
(sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) |
(sin (* tau (* x (PI)))) |
(sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) |
(sin (* tau (* x (PI)))) |
(sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) |
(sin (* tau (* x (PI)))) |
(sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) |
(sin (* tau (* x (PI)))) |
(sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) |
(sin (* tau (* x (PI)))) |
(sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) |
(sin (* tau (* x (PI)))) |
(sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) |
(sin (* tau (* x (PI)))) |
(sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) |
(* tau (* x (PI))) |
(*.f32 x (*.f32 tau (PI.f32))) |
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))) |
(*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) |
(* 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 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau (*.f32 tau (pow.f32 x #s(literal 5 binary32)))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))) |
(* 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 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (*.f32 tau tau) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (pow.f32 x #s(literal 7 binary32))))) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))) |
(sin (* tau (* x (PI)))) |
(sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) |
(sin (* tau (* x (PI)))) |
(sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) |
(sin (* tau (* x (PI)))) |
(sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) |
(sin (* tau (* x (PI)))) |
(sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) |
(sin (* tau (* x (PI)))) |
(sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) |
(sin (* tau (* x (PI)))) |
(sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) |
(sin (* tau (* x (PI)))) |
(sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) |
(sin (* tau (* x (PI)))) |
(sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 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))) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))) |
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(+ 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))) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (* -1/5040 (* (pow tau 6) (pow (PI) 6)))))))))))) |
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(* -1/6 (/ (* x (* (PI) (sin (* tau (* x (PI)))))) tau)) |
(/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))) tau) |
(* x (+ (* -1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI)))))) |
(*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))))) |
(* x (+ (* -1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI)))))) |
(*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))))) |
(* x (+ (* -1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI)))))) |
(*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))))) |
(* -1/6 (/ (* x (* (PI) (sin (* tau (* x (PI)))))) tau)) |
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(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) |
(* tau (* x (pow (PI) 2))) |
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) |
(* tau (* x (pow (PI) 2))) |
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) |
(* tau (* x (pow (PI) 2))) |
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) |
(* tau (* x (pow (PI) 2))) |
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) |
(* tau (* x (pow (PI) 2))) |
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) |
(* tau (* x (pow (PI) 2))) |
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) |
(* tau (* x (pow (PI) 2))) |
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) |
(* tau (* x (pow (PI) 2))) |
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) |
(* tau (* x (pow (PI) 2))) |
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) |
(* tau (* x (pow (PI) 2))) |
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) |
(* tau (* x (pow (PI) 2))) |
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) |
(* tau (* x (pow (PI) 2))) |
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) |
(* tau (* x (pow (PI) 2))) |
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) |
(* tau (* x (pow (PI) 2))) |
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) |
(* tau (* x (pow (PI) 2))) |
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) |
(* tau (* x (pow (PI) 2))) |
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) |
(* tau (* x (pow (PI) 2))) |
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) |
(* tau (* x (pow (PI) 2))) |
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) |
(PI) |
(PI.f32) |
(+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))) |
(+.f32 (PI.f32) (*.f32 (*.f32 tau (*.f32 (*.f32 x x) tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)))) |
(+ (PI) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3)))))) |
(+.f32 (PI.f32) (*.f32 (*.f32 x x) (-.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal -7/360 binary32))))))) |
(+ (PI) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (+ (* 1/720 (* (pow tau 6) (pow (PI) 7))) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3)))))) |
(+.f32 (PI.f32) (*.f32 x (*.f32 x (+.f32 (*.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) #s(literal 7/360 binary32)) (*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal -7/360 binary32)))))) (*.f32 (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))) #s(literal 1/840 binary32)))))) (*.f32 #s(literal 1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))))) |
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI))))) |
(/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) |
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI))))) |
(/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) |
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI))))) |
(/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) |
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI))))) |
(/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) |
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI))))) |
(/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) |
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI))))) |
(/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) |
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI))))) |
(/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) |
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI))))) |
(/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) |
(PI) |
(PI.f32) |
(+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))) |
(+.f32 (PI.f32) (*.f32 (*.f32 tau (*.f32 (*.f32 x x) tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)))) |
(+ (PI) (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (* (pow x 4) (pow (PI) 5))) (* 1/120 (* (pow x 4) (pow (PI) 5)))))) (* -1/6 (* (pow x 2) (pow (PI) 3)))))) |
(+.f32 (PI.f32) (*.f32 tau (*.f32 tau (-.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/6 binary32) (*.f32 x x))) (*.f32 (*.f32 tau tau) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -7/360 binary32)))))))) |
(+ (PI) (* (pow tau 2) (- (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/5040 (* (pow x 6) (pow (PI) 7))) (+ (* 1/720 (* (pow x 6) (pow (PI) 7))) (* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow x 4) (pow (PI) 5))) (* 1/120 (* (pow x 4) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow x 4) (pow (PI) 5))) (* 1/120 (* (pow x 4) (pow (PI) 5)))))) (* -1/6 (* (pow x 2) (pow (PI) 3)))))) |
(+.f32 (PI.f32) (*.f32 tau (*.f32 tau (+.f32 (*.f32 (*.f32 tau tau) (-.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal 7/360 binary32)) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -7/360 binary32))) (*.f32 x x)))) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (pow.f32 x #s(literal 6 binary32))) #s(literal 1/840 binary32)))))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/6 binary32) (*.f32 x x))))))) |
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI))))) |
(/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) |
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI))))) |
(/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) |
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI))))) |
(/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) |
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI))))) |
(/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) |
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI))))) |
(/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) |
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI))))) |
(/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) |
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI))))) |
(/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) |
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI))))) |
(/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (PI)) |
(*.f32 tau (PI.f32)) |
(* tau (* (pow x 2) (PI))) |
(*.f32 tau (*.f32 x (*.f32 x (PI.f32)))) |
(* tau (* (pow x 2) (PI))) |
(*.f32 tau (*.f32 x (*.f32 x (PI.f32)))) |
(* tau (* (pow x 2) (PI))) |
(*.f32 tau (*.f32 x (*.f32 x (PI.f32)))) |
(* tau (* (pow x 2) (PI))) |
(*.f32 tau (*.f32 x (*.f32 x (PI.f32)))) |
(* tau (* (pow x 2) (PI))) |
(*.f32 tau (*.f32 x (*.f32 x (PI.f32)))) |
(* tau (* (pow x 2) (PI))) |
(*.f32 tau (*.f32 x (*.f32 x (PI.f32)))) |
(* tau (* (pow x 2) (PI))) |
(*.f32 tau (*.f32 x (*.f32 x (PI.f32)))) |
(* tau (* (pow x 2) (PI))) |
(*.f32 tau (*.f32 x (*.f32 x (PI.f32)))) |
(* tau (* (pow x 2) (PI))) |
(*.f32 tau (*.f32 x (*.f32 x (PI.f32)))) |
(* tau (* (pow x 2) (PI))) |
(*.f32 tau (*.f32 x (*.f32 x (PI.f32)))) |
(* tau (* (pow x 2) (PI))) |
(*.f32 tau (*.f32 x (*.f32 x (PI.f32)))) |
(* tau (* (pow x 2) (PI))) |
(*.f32 tau (*.f32 x (*.f32 x (PI.f32)))) |
(* tau (* (pow x 2) (PI))) |
(*.f32 tau (*.f32 x (*.f32 x (PI.f32)))) |
(* tau (* (pow x 2) (PI))) |
(*.f32 tau (*.f32 x (*.f32 x (PI.f32)))) |
(* tau (* (pow x 2) (PI))) |
(*.f32 tau (*.f32 x (*.f32 x (PI.f32)))) |
(* tau (* (pow x 2) (PI))) |
(*.f32 tau (*.f32 x (*.f32 x (PI.f32)))) |
(* tau (* (pow x 2) (PI))) |
(*.f32 tau (*.f32 x (*.f32 x (PI.f32)))) |
(* tau (* (pow x 2) (PI))) |
(*.f32 tau (*.f32 x (*.f32 x (PI.f32)))) |
(* tau (* (pow x 2) (PI))) |
(*.f32 tau (*.f32 x (*.f32 x (PI.f32)))) |
(* tau (* (pow x 2) (PI))) |
(*.f32 tau (*.f32 x (*.f32 x (PI.f32)))) |
(* tau (* (pow x 2) (PI))) |
(*.f32 tau (*.f32 x (*.f32 x (PI.f32)))) |
(* tau (* (pow x 2) (PI))) |
(*.f32 tau (*.f32 x (*.f32 x (PI.f32)))) |
(* tau (* (pow x 2) (PI))) |
(*.f32 tau (*.f32 x (*.f32 x (PI.f32)))) |
(* tau (* (pow x 2) (PI))) |
(*.f32 tau (*.f32 x (*.f32 x (PI.f32)))) |
Compiled 85579 to 7696 computations (91% saved)
144 alts after pruning (139 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2963 | 76 | 3039 |
| Fresh | 33 | 63 | 96 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 4 | 4 |
| Total | 3000 | 144 | 3144 |
| Status | Accuracy | Program |
|---|---|---|
| 97.8% | (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) x) | |
| 97.4% | (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (PI.f32) tau)) | |
| 67.5% | (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))) #s(literal 2 binary32))) x) | |
| 86.1% | (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) tau) | |
| 80.1% | (/.f32 (/.f32 (*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal -1/6 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32))) | |
| 64.7% | (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 tau (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32))) | |
| 80.4% | (/.f32 (/.f32 (*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32))) | |
| 86.0% | (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) tau)))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32))) | |
| 85.6% | (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (-.f32 (/.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) tau)) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32))) | |
| 85.6% | (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32)) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32))) | |
| 86.2% | (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32))) (PI.f32)) (*.f32 x tau)) | |
| 86.1% | (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32))))) tau) (*.f32 x (PI.f32))) | |
| 85.9% | (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (/.f32 x tau)) (PI.f32))) | |
| 86.1% | (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (/.f32 (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 (PI.f32) tau)))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau)))) | |
| 86.1% | (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (/.f32 (*.f32 (PI.f32) tau) tau))) | |
| 86.0% | (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (/.f32 #s(literal 1 binary32) tau)))) | |
| 79.2% | (/.f32 (/.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau)))))))) tau) (*.f32 x (PI.f32))) | |
| 63.9% | (/.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) tau) (*.f32 x (PI.f32))) | |
| 97.1% | (/.f32 (/.f32 (sin.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (/.f32 x (PI.f32))) tau)) x) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) | |
| 97.4% | (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) | |
| 97.6% | (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (*.f32 (/.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (PI.f32))) | |
| 64.7% | (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 x tau)) (*.f32 (PI.f32) tau)) | |
| 96.3% | (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (-.f32 (/.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) tau)) tau))))) | |
| ✓ | 97.9% | (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) |
| 97.2% | (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (exp.f32 (neg.f32 (*.f32 #s(literal -1 binary32) (log.f32 (*.f32 (PI.f32) tau))))))))) | |
| 79.7% | (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (+.f32 (PI.f32) (*.f32 (*.f32 tau (*.f32 (*.f32 x x) tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32))))) | |
| 97.4% | (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 x (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) | |
| 64.9% | (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32)) | |
| 86.2% | (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 tau (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 x (PI.f32))) | |
| 97.0% | (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (/.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32))))))) | |
| 86.2% | (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 (/.f32 tau (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) | |
| 86.2% | (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 x (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 tau (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32)))))) | |
| 67.6% | (/.f32 (-.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (*.f32 x (PI.f32)))) #s(literal 2 binary32))) | |
| 80.6% | (/.f32 (+.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (*.f32 x (PI.f32))) | |
| 86.5% | (/.f32 (*.f32 (/.f32 (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32)) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) x) | |
| 86.4% | (/.f32 (*.f32 (/.f32 (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32)) x) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (PI.f32) tau)) | |
| 86.2% | (/.f32 (*.f32 (/.f32 (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32)) tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32))) | |
| 86.2% | (/.f32 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32))) (PI.f32)) (/.f32 #s(literal 1 binary32) tau)) x) | |
| 97.2% | (/.f32 (*.f32 (/.f32 (sin.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) x))) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) x)) | |
| 97.3% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) x) | |
| 96.3% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) tau))) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) x) | |
| 97.7% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32)))) x) | |
| 86.5% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32))) x) | |
| 71.4% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) #s(literal 1 binary32)) x) | |
| 86.3% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32)) tau)) x) | |
| 86.1% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32))) (*.f32 x (PI.f32))) | |
| 97.3% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) (sin.f32 (/.f32 tau (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))))) (*.f32 (*.f32 x (PI.f32)) x)) | |
| ✓ | 97.7% | (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) x)) |
| 71.1% | (/.f32 (*.f32 (/.f32 x tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) x)) | |
| 64.7% | (/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) | |
| 86.0% | (/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32)))) (neg.f32 tau)) | |
| 63.9% | (/.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) | |
| 64.9% | (/.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 x (PI.f32))) | |
| 64.5% | (/.f32 (*.f32 (sin.f32 (*.f32 x (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32)))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) | |
| 71.2% | (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) | |
| 86.1% | (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))) (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))) | |
| 64.6% | (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) tau)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) | |
| 64.7% | (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) tau)))) | |
| 79.4% | (/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) (*.f32 x (PI.f32))) | |
| 79.8% | (/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) x) | |
| 64.9% | (/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) x) | |
| 64.0% | (/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) | |
| 86.4% | (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32))))) | |
| 86.2% | (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 tau (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x (PI.f32))))) | |
| 71.4% | (/.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) | |
| 86.6% | (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))) | |
| 85.9% | (/.f32 #s(literal 1 binary32) (/.f32 tau (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32)))) (*.f32 x (*.f32 x (PI.f32)))))) | |
| 81.3% | (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau))))))) | |
| 86.1% | (/.f32 #s(literal -1 binary32) (*.f32 (/.f32 (/.f32 tau (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))) | |
| 85.5% | (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/120 binary32))))))) | |
| 64.9% | (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) #s(literal -1/6 binary32))) | |
| 64.9% | (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)))) | |
| 80.1% | (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))) | |
| ✓ | 64.9% | (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) |
| 80.1% | (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) | |
| 64.9% | (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) | |
| 81.3% | (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))))))) | |
| 81.3% | (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 tau tau)))))) | |
| 81.3% | (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))))))))) | |
| 97.6% | (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)) | |
| 97.2% | (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (pow.f32 (/.f32 x (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (PI.f32)))))) #s(literal -1 binary32))) | |
| 86.0% | (*.f32 (/.f32 (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32)) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau)) | |
| 86.1% | (*.f32 (/.f32 (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32)) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32))) | |
| 86.0% | (*.f32 (/.f32 (*.f32 x (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x tau))) | |
| 80.2% | (*.f32 (/.f32 (*.f32 x (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 80.5% | (*.f32 (/.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 86.2% | (*.f32 (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 85.5% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 86.2% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) x)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 71.4% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32)) | |
| 97.5% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) | |
| 86.2% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 97.6% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)) | |
| 86.2% | (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 97.9% | (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)) | |
| 85.9% | (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 x tau))) | |
| 80.7% | (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) | |
| 81.1% | (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) | |
| 4.4% | (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)) | |
| 64.7% | (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) | |
| 79.8% | (*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal -1/6 binary32))))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) | |
| 80.1% | (*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) | |
| 64.6% | (*.f32 (*.f32 x (*.f32 tau (PI.f32))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) | |
| 80.3% | (*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (PI.f32)) (*.f32 x (*.f32 x x))))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) | |
| 79.9% | (*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) | |
| 86.0% | (*.f32 (sin.f32 (/.f32 tau (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) | |
| 86.1% | (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) | |
| 86.5% | (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 x tau)))) | |
| 85.6% | (*.f32 (sin.f32 (*.f32 x (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) tau)))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) | |
| 85.4% | (*.f32 (sin.f32 (*.f32 x (-.f32 (/.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) tau)) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) | |
| 85.6% | (*.f32 (sin.f32 (*.f32 x (*.f32 (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32)) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) | |
| 85.5% | (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (PI.f32)) tau) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) | |
| 85.6% | (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (/.f32 (*.f32 (/.f32 x (PI.f32)) (*.f32 (PI.f32) tau)) tau) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) | |
| 85.6% | (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (/.f32 (*.f32 (PI.f32) tau) (/.f32 tau (/.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) | |
| 85.8% | (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) | |
| 85.9% | (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) tau) (*.f32 tau (/.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32))))) (*.f32 tau tau))) | |
| 85.4% | (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (PI.f32)) (/.f32 #s(literal 1 binary32) tau)) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) | |
| 85.4% | (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (-.f32 (/.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) tau)) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) | |
| 85.5% | (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32)) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) | |
| 85.6% | (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) | |
| 85.6% | (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x #s(literal -1/6 binary32))) (PI.f32))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) | |
| 85.6% | (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (/.f32 (*.f32 (PI.f32) tau) tau)) (*.f32 x tau)))) | |
| 85.5% | (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (/.f32 #s(literal 1 binary32) tau))) (*.f32 x tau)))) | |
| 71.1% | (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))) | |
| 71.3% | (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32))))) | |
| ✓ | 86.1% | (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) |
| 86.2% | (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 x (*.f32 x x)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 tau (PI.f32))))) | |
| 85.9% | (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) tau)))))) | |
| 85.7% | (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))))) | |
| 86.7% | (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))) | |
| 4.4% | (*.f32 x (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (PI.f32)))) | |
| 4.4% | (*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) | |
| 4.4% | (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) (PI.f32))))) | |
| 81.8% | (exp.f32 (*.f32 (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau))) (neg.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32)))))) | |
| 81.8% | (exp.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) (neg.f32 (*.f32 (PI.f32) (PI.f32))))) | |
| 81.8% | (exp.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32)) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (neg.f32 (PI.f32)))) | |
| 81.8% | (exp.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))) (neg.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32))))) | |
| 81.8% | (exp.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau))))) | |
| 81.8% | (exp.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))) #s(literal -1/6 binary32))) | |
| 81.8% | (exp.f32 (*.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))))) x)) | |
| 93.4% | (exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))) #s(literal -1 binary32))) | |
| 92.9% | (exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x x))) (/.f32 tau (sin.f32 (*.f32 x (PI.f32)))))) #s(literal -1 binary32))) | |
| 81.8% | (exp.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) | |
| ✓ | 64.1% | #s(literal 1 binary32) |
Compiled 9423 to 3187 computations (66.2% saved)
| Inputs |
|---|
#s(literal 1 binary32) |
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) |
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) |
(*.f32 x (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (PI.f32)))) |
(*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) #s(literal -1/6 binary32))) |
(+.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) |
(/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) tau) (*.f32 x (PI.f32))) |
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) x) |
(/.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))) |
(/.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 x (PI.f32))) |
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) x) |
(/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 tau (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32))) |
(*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) |
(/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) (*.f32 x (PI.f32))) |
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 (/.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau)))))))) tau) (*.f32 x (PI.f32))) |
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(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (/.f32 #s(literal 1 binary32) tau))) (*.f32 x tau)))) |
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (-.f32 (/.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) tau)) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) |
(*.f32 (sin.f32 (*.f32 x (-.f32 (/.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) tau)) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) |
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/120 binary32))))))) |
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) (/.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 (*.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 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) x)) |
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 x (*.f32 (PI.f32) tau))) |
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (PI.f32))))) tau) |
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) x) |
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32)))) x) |
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) x) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 x (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (*.f32 (/.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (PI.f32))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x (*.f32 (PI.f32) tau))) |
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (PI.f32) tau)) |
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) x) |
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) (sin.f32 (/.f32 tau (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))))) (*.f32 (*.f32 x (PI.f32)) x)) |
(/.f32 (*.f32 (/.f32 (sin.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) x))) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) x)) |
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (/.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32))))))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (-.f32 (/.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) x)) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (-.f32 (/.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) tau)) tau))))) |
(/.f32 (-.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (*.f32 x (PI.f32)))) #s(literal 2 binary32))) |
(/.f32 (/.f32 (sin.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (/.f32 x (PI.f32))) tau)) x) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) |
(/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))) #s(literal 2 binary32))) x) |
(/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (*.f32 (*.f32 x x) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 (/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) (log.f32 (E.f32))))) (*.f32 x (PI.f32)))) x) |
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) tau))) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) x) |
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (pow.f32 (/.f32 x (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (PI.f32)))))) #s(literal -1 binary32))) |
(exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x x))) (/.f32 tau (sin.f32 (*.f32 x (PI.f32)))))) #s(literal -1 binary32))) |
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32))))))) #s(literal -1 binary32))) |
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32))))))) #s(literal -1 binary32))) |
(exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))) #s(literal -1 binary32))) |
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 tau (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))) #s(literal -1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(/.f32 (*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal -1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) x) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (exp.f32 (neg.f32 (*.f32 #s(literal -1 binary32) (log.f32 (*.f32 (PI.f32) tau))))))))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) tau)) (*.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 (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 1/3 binary32))))) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 1/3 binary32))))) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))) (*.f32 (PI.f32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) |
(exp.f32 (*.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32))) (log.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 (PI.f32) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))))))) #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)))) |
4 calls:
| 66.0ms | (*.f32 x (PI.f32)) |
| 64.0ms | (*.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)))) |
| 61.0ms | tau |
| 58.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 1 | x |
| 98.2% | 1 | tau |
| 98.2% | 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)))) |
| 98.2% | 1 | (*.f32 x (PI.f32)) |
Compiled 34 to 18 computations (47.1% saved)
| Inputs |
|---|
#s(literal 1 binary32) |
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) |
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) |
(*.f32 x (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (PI.f32)))) |
(*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) #s(literal -1/6 binary32))) |
(+.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) |
(/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) tau) (*.f32 x (PI.f32))) |
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) x) |
(/.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))) |
(/.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 x (PI.f32))) |
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) x) |
(/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 tau (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32))) |
(*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) |
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(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
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(*.f32 (sin.f32 (*.f32 x (*.f32 (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32)) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) |
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (/.f32 #s(literal 1 binary32) tau))) (*.f32 x tau)))) |
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (-.f32 (/.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) tau)) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) |
(*.f32 (sin.f32 (*.f32 x (-.f32 (/.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) tau)) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) |
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/120 binary32))))))) |
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
| Outputs |
|---|
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) |
3 calls:
| 52.0ms | (*.f32 x (PI.f32)) |
| 49.0ms | tau |
| 47.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 1 | x |
| 98.0% | 1 | (*.f32 x (PI.f32)) |
| 98.0% | 1 | tau |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(literal 1 binary32) |
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) |
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) |
(*.f32 x (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (PI.f32)))) |
(*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) #s(literal -1/6 binary32))) |
(+.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) |
(/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) tau) (*.f32 x (PI.f32))) |
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) x) |
(/.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))) |
(/.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 x (PI.f32))) |
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) x) |
(/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 tau (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32))) |
(*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) |
(/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) (*.f32 x (PI.f32))) |
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 (/.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau)))))))) tau) (*.f32 x (PI.f32))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 tau tau)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))))))) |
(*.f32 (*.f32 x (*.f32 tau (PI.f32))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) |
(*.f32 (/.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (/.f32 (*.f32 x (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(/.f32 (/.f32 (*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32))) |
(/.f32 (/.f32 (*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal -1/6 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32))) |
(*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (PI.f32)) (*.f32 x (*.f32 x x))))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) |
(*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) |
(/.f32 (+.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (*.f32 x (PI.f32))) |
(*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) |
(*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal -1/6 binary32))))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32)) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x) |
(fma.f32 (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (PI.f32) #s(literal 1 binary32)) |
(*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) |
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) (PI.f32))))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 x tau)) (*.f32 (PI.f32) tau)) |
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32))))) |
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32)) |
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) #s(literal 1 binary32)) x) |
(exp.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) |
(exp.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))) |
(exp.f32 (*.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))))) x)) |
(exp.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))) #s(literal -1/6 binary32))) |
(/.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 (*.f32 (/.f32 x tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) x)) |
(exp.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau))))) |
(exp.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))) (neg.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32))))) |
(exp.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32)) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (neg.f32 (PI.f32)))) |
(exp.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) (neg.f32 (*.f32 (PI.f32) (PI.f32))))) |
(exp.f32 (*.f32 (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau))) (neg.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32)))))) |
(exp.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal 1/6 binary32) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))))) #s(literal -1 binary32))) |
(/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau))))))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) tau)))) |
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(/.f32 #s(literal 1 binary32) (/.f32 tau (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32)))) (*.f32 x (*.f32 x (PI.f32)))))) |
(/.f32 (*.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 x (*.f32 x (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) tau))))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) x)) |
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (/.f32 #s(literal 1 binary32) tau)))) |
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (-.f32 (/.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) tau)) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32))) |
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) |
(/.f32 (*.f32 (/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) x)) |
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (/.f32 x tau)) (PI.f32))) |
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32))) x) (*.f32 tau (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))) (*.f32 x tau))) |
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) tau) (*.f32 tau (/.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32))))) (*.f32 tau tau))) |
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) tau) (*.f32 tau (*.f32 x (*.f32 (PI.f32) tau))))) |
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) (*.f32 tau (/.f32 #s(literal 1 binary32) x))) (*.f32 tau (*.f32 (PI.f32) tau)))) |
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (/.f32 (*.f32 (PI.f32) tau) (/.f32 tau (/.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) |
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (/.f32 (*.f32 (/.f32 x (PI.f32)) (*.f32 (PI.f32) tau)) tau) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) |
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (PI.f32)) tau) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) |
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (/.f32 (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 (PI.f32) tau)))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau)))) |
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) |
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x #s(literal -1/6 binary32))) (PI.f32))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) |
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) |
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (PI.f32)) (/.f32 #s(literal 1 binary32) tau)) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) |
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau))))) |
(*.f32 (sin.f32 (*.f32 x (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) tau)))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) |
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (/.f32 (*.f32 (PI.f32) tau) tau)) (*.f32 x tau)))) |
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32)) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) |
(*.f32 (sin.f32 (*.f32 x (*.f32 (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32)) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) |
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (/.f32 #s(literal 1 binary32) tau))) (*.f32 x tau)))) |
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (-.f32 (/.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) tau)) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) |
(*.f32 (sin.f32 (*.f32 x (-.f32 (/.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) tau)) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) |
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/120 binary32))))))) |
| Outputs |
|---|
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
3 calls:
| 48.0ms | tau |
| 45.0ms | x |
| 44.0ms | (*.f32 x (PI.f32)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.8% | 1 | x |
| 86.8% | 1 | tau |
| 86.8% | 1 | (*.f32 x (PI.f32)) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(literal 1 binary32) |
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) |
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) |
(*.f32 x (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (PI.f32)))) |
(*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) #s(literal -1/6 binary32))) |
(+.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) |
(/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) tau) (*.f32 x (PI.f32))) |
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) x) |
(/.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))) |
(/.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 x (PI.f32))) |
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) x) |
(/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 tau (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32))) |
(*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) |
(/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) (*.f32 x (PI.f32))) |
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 (/.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau)))))))) tau) (*.f32 x (PI.f32))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 tau tau)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))))))) |
(*.f32 (*.f32 x (*.f32 tau (PI.f32))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) |
(*.f32 (/.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (/.f32 (*.f32 x (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(/.f32 (/.f32 (*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32))) |
(/.f32 (/.f32 (*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal -1/6 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32))) |
(*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (PI.f32)) (*.f32 x (*.f32 x x))))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) |
(*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) |
(/.f32 (+.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (*.f32 x (PI.f32))) |
(*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) |
(*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal -1/6 binary32))))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32)) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x) |
(fma.f32 (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (PI.f32) #s(literal 1 binary32)) |
(*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) |
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) (PI.f32))))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 x tau)) (*.f32 (PI.f32) tau)) |
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32))))) |
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32)) |
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) #s(literal 1 binary32)) x) |
(exp.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) |
(exp.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))) |
(exp.f32 (*.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))))) x)) |
(exp.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))) #s(literal -1/6 binary32))) |
(/.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 (*.f32 (/.f32 x tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) x)) |
(exp.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau))))) |
(exp.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))) (neg.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32))))) |
(exp.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32)) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (neg.f32 (PI.f32)))) |
(exp.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) (neg.f32 (*.f32 (PI.f32) (PI.f32))))) |
(exp.f32 (*.f32 (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau))) (neg.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32)))))) |
(exp.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal 1/6 binary32) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))))) #s(literal -1 binary32))) |
(/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau))))))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) tau)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) tau)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32)))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (*.f32 x (PI.f32)) x)) |
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))) |
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))))) |
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) tau)))))) |
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (PI.f32)))) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x)) |
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x (PI.f32))) tau)) |
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 x tau)))) |
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x (PI.f32)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) tau)) |
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) x)) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
| Outputs |
|---|
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))) |
3 calls:
| 24.0ms | tau |
| 24.0ms | (*.f32 x (PI.f32)) |
| 22.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.7% | 1 | x |
| 86.7% | 1 | tau |
| 86.7% | 1 | (*.f32 x (PI.f32)) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(literal 1 binary32) |
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) |
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) |
(*.f32 x (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (PI.f32)))) |
(*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) #s(literal -1/6 binary32))) |
(+.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) |
(/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) tau) (*.f32 x (PI.f32))) |
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) x) |
(/.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))) |
(/.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 x (PI.f32))) |
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) x) |
(/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 tau (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32))) |
(*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) |
(/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) (*.f32 x (PI.f32))) |
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 (/.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau)))))))) tau) (*.f32 x (PI.f32))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 tau tau)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))))))) |
(*.f32 (*.f32 x (*.f32 tau (PI.f32))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) |
(*.f32 (/.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (/.f32 (*.f32 x (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(/.f32 (/.f32 (*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32))) |
(/.f32 (/.f32 (*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal -1/6 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32))) |
(*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (PI.f32)) (*.f32 x (*.f32 x x))))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) |
(*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) |
(/.f32 (+.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (*.f32 x (PI.f32))) |
(*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) |
(*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal -1/6 binary32))))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32)) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x) |
(fma.f32 (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (PI.f32) #s(literal 1 binary32)) |
(*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) |
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) (PI.f32))))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 x tau)) (*.f32 (PI.f32) tau)) |
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32))))) |
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32)) |
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) #s(literal 1 binary32)) x) |
(exp.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) |
(exp.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))) |
(exp.f32 (*.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))))) x)) |
(exp.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))) #s(literal -1/6 binary32))) |
(/.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 (*.f32 (/.f32 x tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) x)) |
(exp.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau))))) |
(exp.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))) (neg.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32))))) |
(exp.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32)) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (neg.f32 (PI.f32)))) |
(exp.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) (neg.f32 (*.f32 (PI.f32) (PI.f32))))) |
(exp.f32 (*.f32 (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau))) (neg.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32)))))) |
(exp.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal 1/6 binary32) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))))) #s(literal -1 binary32))) |
(/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau))))))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) tau)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) tau)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32)))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (*.f32 x (PI.f32)) x)) |
| Outputs |
|---|
(exp.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) (neg.f32 (*.f32 (PI.f32) (PI.f32))))) |
3 calls:
| 39.0ms | tau |
| 20.0ms | x |
| 19.0ms | (*.f32 x (PI.f32)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.8% | 1 | x |
| 81.8% | 1 | (*.f32 x (PI.f32)) |
| 81.8% | 1 | tau |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(literal 1 binary32) |
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) |
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) |
(*.f32 x (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (PI.f32)))) |
(*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) #s(literal -1/6 binary32))) |
(+.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) |
(/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) tau) (*.f32 x (PI.f32))) |
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) x) |
(/.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))) |
(/.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 x (PI.f32))) |
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) x) |
(/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 tau (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32))) |
(*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) |
(/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) (*.f32 x (PI.f32))) |
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 (/.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau)))))))) tau) (*.f32 x (PI.f32))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 tau tau)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))))))) |
(*.f32 (*.f32 x (*.f32 tau (PI.f32))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) |
(*.f32 (/.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (/.f32 (*.f32 x (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(/.f32 (/.f32 (*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32))) |
(/.f32 (/.f32 (*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal -1/6 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32))) |
(*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (PI.f32)) (*.f32 x (*.f32 x x))))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) |
(*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) |
(/.f32 (+.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (*.f32 x (PI.f32))) |
(*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) |
(*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal -1/6 binary32))))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32)) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x) |
(fma.f32 (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (PI.f32) #s(literal 1 binary32)) |
(*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) |
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) (PI.f32))))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 x tau)) (*.f32 (PI.f32) tau)) |
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32))))) |
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32)) |
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) #s(literal 1 binary32)) x) |
(exp.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) |
(exp.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))) |
(exp.f32 (*.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))))) x)) |
(exp.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))) #s(literal -1/6 binary32))) |
(/.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 (*.f32 (/.f32 x tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) x)) |
(exp.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau))))) |
(exp.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))) (neg.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32))))) |
(exp.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32)) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (neg.f32 (PI.f32)))) |
| Outputs |
|---|
(exp.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau))))) |
3 calls:
| 19.0ms | x |
| 17.0ms | (*.f32 x (PI.f32)) |
| 17.0ms | tau |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.8% | 1 | tau |
| 81.8% | 1 | x |
| 81.8% | 1 | (*.f32 x (PI.f32)) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(literal 1 binary32) |
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) |
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) |
(*.f32 x (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (PI.f32)))) |
(*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) #s(literal -1/6 binary32))) |
(+.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) |
(/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) tau) (*.f32 x (PI.f32))) |
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) x) |
(/.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))) |
(/.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 x (PI.f32))) |
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) x) |
(/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 tau (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32))) |
(*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) |
(/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) (*.f32 x (PI.f32))) |
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 (/.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau)))))))) tau) (*.f32 x (PI.f32))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 tau tau)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))))))) |
(*.f32 (*.f32 x (*.f32 tau (PI.f32))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) |
(*.f32 (/.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (/.f32 (*.f32 x (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(/.f32 (/.f32 (*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32))) |
(/.f32 (/.f32 (*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal -1/6 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32))) |
(*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (PI.f32)) (*.f32 x (*.f32 x x))))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) |
(*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) |
(/.f32 (+.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (*.f32 x (PI.f32))) |
(*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) |
(*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal -1/6 binary32))))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32)) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x) |
(fma.f32 (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (PI.f32) #s(literal 1 binary32)) |
(*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) |
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) (PI.f32))))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 x tau)) (*.f32 (PI.f32) tau)) |
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32))))) |
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32)) |
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) #s(literal 1 binary32)) x) |
(exp.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) |
(exp.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))) |
(exp.f32 (*.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))))) x)) |
(exp.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))) #s(literal -1/6 binary32))) |
(/.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 (*.f32 (/.f32 x tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) x)) |
| Outputs |
|---|
(exp.f32 (*.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))))) x)) |
3 calls:
| 17.0ms | x |
| 17.0ms | tau |
| 15.0ms | (*.f32 x (PI.f32)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.8% | 1 | x |
| 81.8% | 1 | tau |
| 81.8% | 1 | (*.f32 x (PI.f32)) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(literal 1 binary32) |
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) |
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) |
(*.f32 x (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (PI.f32)))) |
(*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) #s(literal -1/6 binary32))) |
(+.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) |
(/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) tau) (*.f32 x (PI.f32))) |
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) x) |
(/.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))) |
(/.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 x (PI.f32))) |
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) x) |
(/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 tau (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32))) |
(*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) |
(/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) (*.f32 x (PI.f32))) |
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 (/.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau)))))))) tau) (*.f32 x (PI.f32))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 tau tau)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))))))) |
(*.f32 (*.f32 x (*.f32 tau (PI.f32))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) |
(*.f32 (/.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (/.f32 (*.f32 x (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(/.f32 (/.f32 (*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32))) |
(/.f32 (/.f32 (*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal -1/6 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32))) |
(*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (PI.f32)) (*.f32 x (*.f32 x x))))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) |
(*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) |
(/.f32 (+.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (*.f32 x (PI.f32))) |
(*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) |
(*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal -1/6 binary32))))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32)) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x) |
(fma.f32 (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (PI.f32) #s(literal 1 binary32)) |
(*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) |
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) (PI.f32))))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 x tau)) (*.f32 (PI.f32) tau)) |
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32))))) |
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32)) |
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) #s(literal 1 binary32)) x) |
(exp.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) |
(exp.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))) |
| Outputs |
|---|
(exp.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) |
3 calls:
| 19.0ms | (*.f32 x (PI.f32)) |
| 17.0ms | tau |
| 16.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.8% | 1 | x |
| 81.8% | 1 | tau |
| 81.8% | 1 | (*.f32 x (PI.f32)) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(literal 1 binary32) |
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) |
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) |
(*.f32 x (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (PI.f32)))) |
(*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) #s(literal -1/6 binary32))) |
(+.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) |
(/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) tau) (*.f32 x (PI.f32))) |
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) x) |
(/.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))) |
(/.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 x (PI.f32))) |
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) x) |
(/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 tau (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32))) |
(*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) |
(/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) (*.f32 x (PI.f32))) |
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 (/.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau)))))))) tau) (*.f32 x (PI.f32))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 tau tau)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))))))) |
(*.f32 (*.f32 x (*.f32 tau (PI.f32))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) |
(*.f32 (/.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (/.f32 (*.f32 x (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(/.f32 (/.f32 (*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32))) |
(/.f32 (/.f32 (*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal -1/6 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32))) |
(*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (PI.f32)) (*.f32 x (*.f32 x x))))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) |
(*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) |
(/.f32 (+.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (*.f32 x (PI.f32))) |
(*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) |
(*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal -1/6 binary32))))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))) |
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32)) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x) |
(fma.f32 (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (PI.f32) #s(literal 1 binary32)) |
(*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) |
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) (PI.f32))))) |
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 x tau)) (*.f32 (PI.f32) tau)) |
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32))))) |
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32)) |
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) #s(literal 1 binary32)) x) |
| Outputs |
|---|
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))))))) |
3 calls:
| 19.0ms | tau |
| 16.0ms | (*.f32 x (PI.f32)) |
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.3% | 1 | x |
| 81.3% | 1 | (*.f32 x (PI.f32)) |
| 81.3% | 1 | tau |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(literal 1 binary32) |
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) |
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) |
(*.f32 x (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (PI.f32)))) |
(*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) #s(literal -1/6 binary32))) |
(+.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) |
(/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) tau) (*.f32 x (PI.f32))) |
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) x) |
(/.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))) |
(/.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 x (PI.f32))) |
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) x) |
(/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 tau (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32))) |
(*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) |
(/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) (*.f32 x (PI.f32))) |
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 (/.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau)))))))) tau) (*.f32 x (PI.f32))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 tau tau)))))) |
| Outputs |
|---|
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 tau tau)))))) |
3 calls:
| 11.0ms | x |
| 8.0ms | tau |
| 8.0ms | (*.f32 x (PI.f32)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.3% | 1 | x |
| 81.3% | 1 | (*.f32 x (PI.f32)) |
| 81.3% | 1 | tau |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(literal 1 binary32) |
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) |
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) |
(*.f32 x (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (PI.f32)))) |
(*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) #s(literal -1/6 binary32))) |
(+.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) |
(/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) tau) (*.f32 x (PI.f32))) |
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) x) |
(/.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))) |
(/.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 x (PI.f32))) |
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) x) |
(/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 tau (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32))) |
(*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) |
(/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) (*.f32 x (PI.f32))) |
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 (/.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau)))))))) tau) (*.f32 x (PI.f32))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))))))))) |
| Outputs |
|---|
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))))))))) |
3 calls:
| 17.0ms | (*.f32 x (PI.f32)) |
| 8.0ms | tau |
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.3% | 1 | x |
| 81.3% | 1 | (*.f32 x (PI.f32)) |
| 81.3% | 1 | tau |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(literal 1 binary32) |
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) |
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) |
(*.f32 x (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (PI.f32)))) |
(*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) #s(literal -1/6 binary32))) |
(+.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) |
(/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) tau) (*.f32 x (PI.f32))) |
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) x) |
(/.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))) |
(/.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 x (PI.f32))) |
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) x) |
(/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 tau (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32))) |
(*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) |
(/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) (*.f32 x (PI.f32))) |
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 (/.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau)))))))) tau) (*.f32 x (PI.f32))) |
| Outputs |
|---|
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
3 calls:
| 10.0ms | tau |
| 7.0ms | (*.f32 x (PI.f32)) |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.1% | 1 | tau |
| 81.1% | 1 | x |
| 81.1% | 1 | (*.f32 x (PI.f32)) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(literal 1 binary32) |
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) |
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) |
(*.f32 x (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (PI.f32)))) |
(*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) #s(literal -1/6 binary32))) |
(+.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) |
(/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) tau) (*.f32 x (PI.f32))) |
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) x) |
(/.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))) |
(/.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 x (PI.f32))) |
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) x) |
(/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 tau (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32))) |
(*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) |
(/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) (*.f32 x (PI.f32))) |
| Outputs |
|---|
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))))) |
3 calls:
| 9.0ms | x |
| 7.0ms | (*.f32 x (PI.f32)) |
| 7.0ms | tau |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.1% | 1 | tau |
| 80.1% | 1 | x |
| 80.1% | 1 | (*.f32 x (PI.f32)) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(literal 1 binary32) |
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) |
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) |
(*.f32 x (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (PI.f32)))) |
(*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) #s(literal -1/6 binary32))) |
(+.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) |
(/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) tau) (*.f32 x (PI.f32))) |
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) x) |
(/.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) |
| Outputs |
|---|
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) |
3 calls:
| 9.0ms | x |
| 5.0ms | tau |
| 5.0ms | (*.f32 x (PI.f32)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.1% | 1 | x |
| 80.1% | 1 | (*.f32 x (PI.f32)) |
| 80.1% | 1 | tau |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(literal 1 binary32) |
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) |
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) |
(*.f32 x (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (PI.f32)))) |
(*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) #s(literal -1/6 binary32))) |
(+.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) |
(/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) tau) (*.f32 x (PI.f32))) |
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) x) |
(/.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
| Outputs |
|---|
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) x) |
3 calls:
| 7.0ms | x |
| 5.0ms | tau |
| 5.0ms | (*.f32 x (PI.f32)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.9% | 1 | x |
| 64.9% | 1 | (*.f32 x (PI.f32)) |
| 64.9% | 1 | tau |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(literal 1 binary32) |
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) |
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) |
(*.f32 x (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (PI.f32)))) |
(*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) #s(literal -1/6 binary32))) |
(+.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) |
(/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) |
(/.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) tau) (*.f32 x (PI.f32))) |
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
| Outputs |
|---|
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) |
3 calls:
| 4.0ms | (*.f32 x (PI.f32)) |
| 4.0ms | tau |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.9% | 1 | tau |
| 64.9% | 1 | x |
| 64.9% | 1 | (*.f32 x (PI.f32)) |
Compiled 11 to 8 computations (27.3% saved)
Total -19.4b remaining (-168.9%)
Threshold costs -19.4b (-168.9%)
| Inputs |
|---|
#s(literal 1 binary32) |
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) |
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))) |
(*.f32 x (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (PI.f32)))) |
(*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)) |
| Outputs |
|---|
#s(literal 1 binary32) |
2 calls:
| 5.0ms | x |
| 2.0ms | tau |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.1% | 1 | x |
| 64.1% | 1 | tau |
Compiled 6 to 4 computations (33.3% saved)
| 1× | egg-herbie |
| 142× | *-commutative_binary32 |
| 68× | neg-mul-1_binary32 |
| 58× | +-commutative_binary32 |
| 50× | unsub-neg_binary32 |
| 48× | distribute-rgt-neg-in_binary32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 349 |
| 1 | 170 | 349 |
| 2 | 197 | 347 |
| 3 | 231 | 347 |
| 4 | 282 | 347 |
| 5 | 352 | 347 |
| 6 | 374 | 347 |
| 7 | 392 | 347 |
| 8 | 401 | 347 |
| 9 | 403 | 347 |
| 1× | saturated |
| 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 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))) |
(exp.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) (neg.f32 (*.f32 (PI.f32) (PI.f32))))) |
(exp.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau))))) |
(exp.f32 (*.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))))) x)) |
(exp.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 tau tau)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))))))))) |
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) |
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) x) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) |
#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 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))) |
(*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)))) (*.f32 (*.f32 x (PI.f32)) tau))) |
(exp.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) (neg.f32 (*.f32 (PI.f32) (PI.f32))))) |
(exp.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 tau tau))))) |
(exp.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau))))) |
(exp.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 tau tau)))) |
(exp.f32 (*.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))))) x)) |
(exp.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))))))) |
(exp.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) |
(exp.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (*.f32 (*.f32 tau tau) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 tau tau)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))))))))) |
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) |
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))))) |
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) x) |
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) |
#s(literal 1 binary32) |
| 7020× | *-lowering-*.f32 |
| 7020× | *-lowering-*.f64 |
| 6880× | *-lowering-*.f32 |
| 6880× | *-lowering-*.f64 |
| 5668× | *-lowering-*.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 21 |
| 1 | 23 | 21 |
| 2 | 80 | 21 |
| 3 | 284 | 18 |
| 4 | 677 | 18 |
| 5 | 1036 | 18 |
| 6 | 1072 | 18 |
| 7 | 1072 | 18 |
| 0 | 1072 | 18 |
| 0 | 460 | 6518 |
| 1 | 1663 | 5643 |
| 2 | 7226 | 5618 |
| 0 | 8607 | 5618 |
| 0 | 42 | 234 |
| 1 | 203 | 224 |
| 2 | 1335 | 220 |
| 3 | 7591 | 211 |
| 0 | 8135 | 211 |
| 0 | 626 | 10717 |
| 1 | 2409 | 9138 |
| 2 | 7924 | 9138 |
| 0 | 8012 | 9138 |
| 0 | 286 | 3358 |
| 1 | 980 | 3060 |
| 2 | 4245 | 2996 |
| 0 | 8086 | 2996 |
| 0 | 18 | 116 |
| 1 | 101 | 115 |
| 2 | 803 | 109 |
| 3 | 6742 | 109 |
| 0 | 8052 | 109 |
| 0 | 485 | 6224 |
| 1 | 1815 | 5432 |
| 2 | 6765 | 5430 |
| 0 | 8071 | 5430 |
| 0 | 35 | 243 |
| 1 | 192 | 237 |
| 2 | 1461 | 226 |
| 0 | 8767 | 226 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
Compiled 782 to 371 computations (52.6% saved)
(abs tau)
(abs x)
Compiled 1756 to 630 computations (64.1% saved)
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