Time bar (total: 22.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 3 |
| 37.5% | 37.5% | 62.5% | 0% | 0% | 0% | 0% | 4 |
| 43.8% | 43.7% | 56.2% | 0% | 0% | 0% | 0% | 5 |
| 46.9% | 46.9% | 53.1% | 0% | 0% | 0% | 0% | 6 |
| 48.4% | 48.4% | 51.5% | 0% | 0% | 0% | 0% | 7 |
| 49.2% | 49.2% | 50.8% | 0% | 0% | 0% | 0% | 8 |
| 49.6% | 49.6% | 50.4% | 0% | 0% | 0% | 0% | 9 |
| 49.8% | 49.8% | 50.2% | 0% | 0% | 0% | 0% | 10 |
| 49.9% | 49.9% | 50.1% | 0% | 0% | 0% | 0% | 11 |
| 50% | 49.9% | 50% | 0% | 0% | 0% | 0% | 12 |
Compiled 9 to 7 computations (22.2% saved)
| 4.7s | 2114× | body | 2048 | valid |
| 4.2s | 3071× | body | 1024 | valid |
| 763.0ms | 1523× | body | 512 | valid |
| 703.0ms | 90× | body | 4096 | valid |
| 422.0ms | 1457× | body | 256 | valid |
| 2.0ms | 1× | body | 8192 | valid |
| 2× | egg-herbie |
| 1432× | rational.json-simplify-35 |
| 964× | rational.json-simplify-50 |
| 910× | rational.json-simplify-2 |
| 896× | rational.json-simplify-1 |
| 854× | rational.json-simplify-26 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 1 | 18 | 21 |
| 2 | 30 | 21 |
| 3 | 51 | 21 |
| 4 | 97 | 21 |
| 5 | 202 | 21 |
| 6 | 484 | 21 |
| 7 | 1308 | 21 |
| 8 | 2611 | 21 |
| 9 | 3783 | 21 |
| 10 | 4673 | 21 |
| 11 | 5739 | 21 |
| 12 | 6775 | 21 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
| Outputs |
|---|
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
Compiled 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
| 1432× | rational.json-simplify-35 |
| 964× | rational.json-simplify-50 |
| 910× | rational.json-simplify-2 |
| 896× | rational.json-simplify-1 |
| 854× | rational.json-simplify-26 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 1 | 18 | 21 |
| 2 | 30 | 21 |
| 3 | 51 | 21 |
| 4 | 97 | 21 |
| 5 | 202 | 21 |
| 6 | 484 | 21 |
| 7 | 1308 | 21 |
| 8 | 2611 | 21 |
| 9 | 3783 | 21 |
| 10 | 4673 | 21 |
| 11 | 5739 | 21 |
| 12 | 6775 | 21 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
| Outputs |
|---|
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
Compiled 8 to 6 computations (25% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 31.9b | (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
Compiled 8 to 6 computations (25% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
| ✓ | 2.2b | (-.f64 1 (cos.f64 x)) |
Compiled 18 to 9 computations (50% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
| 0.0ms | x | @ | 0 | (-.f64 1 (cos.f64 x)) |
| 0.0ms | x | @ | inf | (-.f64 1 (cos.f64 x)) |
| 1× | batch-egg-rewrite |
| 1436× | rational.json-1 |
| 1436× | rational.json-2 |
| 1436× | rational.json-4 |
| 1436× | rational.json-3 |
| 1428× | exponential.json-3 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 32 |
| 1 | 72 | 32 |
| 2 | 190 | 32 |
| 3 | 449 | 32 |
| 4 | 1115 | 32 |
| 5 | 3972 | 32 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (cos.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
| Outputs |
|---|
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(cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 1 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 x) 2) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 1/2 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 1 (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) (*.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (*.f64 (sin.f64 x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (neg.f64 (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (*.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) (/.f64 2 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 x) 8)) (*.f64 (-.f64 1 (cos.f64 x)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 x) -2)) (*.f64 (-.f64 1 (cos.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (*.f64 (sin.f64 x) 2))) (*.f64 (-.f64 1 (cos.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (*.f64 (sin.f64 x) 2)))))))) |
| 1× | egg-herbie |
| 1296× | rational.json-simplify-35 |
| 1002× | rational.json-simplify-39 |
| 900× | rational.json-simplify-2 |
| 726× | rational.json-simplify-1 |
| 660× | exponential.json-simplify-26 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 230 | 3147 |
| 1 | 488 | 3127 |
| 2 | 1865 | 3007 |
| 3 | 4273 | 3007 |
| 4 | 7239 | 3007 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3))))) |
(+.f64 (-.f64 1 (cos.f64 x)) 0) |
(+.f64 0 (-.f64 1 (cos.f64 x))) |
(+.f64 -1 (neg.f64 (+.f64 -2 (cos.f64 x)))) |
(+.f64 (neg.f64 (+.f64 -2 (cos.f64 x))) -1) |
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) 1/2)) |
(*.f64 1 (-.f64 1 (cos.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) 1) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 1/2) |
(*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 1/2)) |
(*.f64 -1 (+.f64 (cos.f64 x) -1)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) 1/4) |
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) 4)) |
(*.f64 (+.f64 (cos.f64 x) -1) -1) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) 1/8) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) -1/2) |
(*.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) 2)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) 2) |
(*.f64 1/4 (*.f64 (-.f64 1 (cos.f64 x)) 4)) |
(*.f64 -1/2 (*.f64 (-.f64 1 (cos.f64 x)) -2)) |
(*.f64 1/8 (*.f64 (-.f64 1 (cos.f64 x)) 8)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 4) 4) |
(/.f64 (-.f64 1 (cos.f64 x)) 1) |
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 2) |
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) 4) |
(/.f64 (+.f64 (cos.f64 x) -1) -1) |
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) 8) |
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) -2) |
(/.f64 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 8)) 16) |
(/.f64 (*.f64 4 (+.f64 (cos.f64 x) -1)) -4) |
(/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2)) 2) |
(/.f64 (neg.f64 (*.f64 4 (+.f64 (cos.f64 x) -1))) 4) |
(pow.f64 (-.f64 1 (cos.f64 x)) 1) |
(neg.f64 (+.f64 (cos.f64 x) -1)) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0) |
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x)))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0) |
(-.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 1/2 (*.f64 2 (/.f64 1 (sin.f64 x))))) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 1/2 (/.f64 2 (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1/2 (sin.f64 x))) |
(*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x)))) |
(*.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (*.f64 (sin.f64 x) 2)))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) 1/2) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 (/.f64 1 (sin.f64 x)) 4)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 (/.f64 1 (sin.f64 x)) 1/4)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 1/2 (/.f64 1/2 (sin.f64 x)))) |
(*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 4))) |
(*.f64 4 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)) |
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))) |
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 2 (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) |
(*.f64 (*.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 1 (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) |
(*.f64 (*.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 1/2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 1/4) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8) (/.f64 1 (*.f64 (sin.f64 x) 8))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) (/.f64 1/2 (neg.f64 (sin.f64 x)))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) (/.f64 1 (*.f64 (sin.f64 x) -2))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) (/.f64 1 (neg.f64 (*.f64 (sin.f64 x) 2)))) |
(*.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))) |
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2)) |
(*.f64 (*.f64 2 (/.f64 1 (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 1/2)) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -1) |
(*.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) 2) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1/2) (/.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))) 2) |
(*.f64 (/.f64 2 (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 1/2)) |
(*.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) (*.f64 2 (/.f64 1 (sin.f64 x)))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) (/.f64 2 (sin.f64 x))) |
(*.f64 1/4 (/.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) 4) (*.f64 (-.f64 1 (cos.f64 x)) 4)) |
(*.f64 (/.f64 -1 (sin.f64 x)) (+.f64 (cos.f64 x) -1)) |
(*.f64 (*.f64 (/.f64 1 (sin.f64 x)) 1/4) (*.f64 (-.f64 1 (cos.f64 x)) 4)) |
(*.f64 (*.f64 1/2 (*.f64 2 (/.f64 1 (sin.f64 x)))) (-.f64 1 (cos.f64 x))) |
(*.f64 (*.f64 1/2 (/.f64 2 (sin.f64 x))) (-.f64 1 (cos.f64 x))) |
(*.f64 (*.f64 1/2 (/.f64 1/2 (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 4)) |
(*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 1 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) 2) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 1/2 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1/2)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 1 (+.f64 (cos.f64 x) -1))) |
(*.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (sin.f64 x)) |
(*.f64 (/.f64 1 (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) (*.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 2 (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (*.f64 (sin.f64 x) 2))) -1) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 4)) 4) |
(*.f64 (/.f64 1/2 (neg.f64 (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) -2)) |
(*.f64 (/.f64 1/2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (*.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) (/.f64 2 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 4) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) 8)) (*.f64 (-.f64 1 (cos.f64 x)) 8)) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) -2)) (*.f64 (-.f64 1 (cos.f64 x)) -2)) |
(*.f64 (/.f64 1 (neg.f64 (*.f64 (sin.f64 x) 2))) (*.f64 (-.f64 1 (cos.f64 x)) -2)) |
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1) |
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(neg.f64 (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (*.f64 (sin.f64 x) 2)))) |
| Outputs |
|---|
(*.f64 1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))))) |
(+.f64 (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8))) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/2 x))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3))))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 17/40320 (pow.f64 x 7))))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))) |
(+.f64 (-.f64 1 (cos.f64 x)) 0) |
(-.f64 1 (cos.f64 x)) |
(+.f64 0 (-.f64 1 (cos.f64 x))) |
(-.f64 1 (cos.f64 x)) |
(+.f64 -1 (neg.f64 (+.f64 -2 (cos.f64 x)))) |
(+.f64 -1 (neg.f64 (+.f64 (cos.f64 x) -2))) |
(-.f64 -1 (+.f64 (cos.f64 x) -2)) |
(+.f64 (neg.f64 (+.f64 -2 (cos.f64 x))) -1) |
(+.f64 -1 (neg.f64 (+.f64 (cos.f64 x) -2))) |
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(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) |
(*.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) |
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x)))))) |
(/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 1 (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) (*.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) |
(*.f64 (*.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 1/2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) 1/2)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 2)) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 2 (/.f64 1/2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) |
(*.f64 (/.f64 2 (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (*.f64 (sin.f64 x) 2))) -1) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 4)) 4) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 1/2 (neg.f64 (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 1/2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (*.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) |
(*.f64 (*.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 1/2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) 1/2)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 2)) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 2 (/.f64 1/2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) (/.f64 2 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (*.f64 2 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 2 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 4) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) 8)) (*.f64 (-.f64 1 (cos.f64 x)) 8)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) -2)) (*.f64 (-.f64 1 (cos.f64 x)) -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 1 (neg.f64 (*.f64 (sin.f64 x) 2))) (*.f64 (-.f64 1 (cos.f64 x)) -2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(neg.f64 (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (*.f64 (sin.f64 x) 2)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
Compiled 2166 to 1322 computations (39% saved)
17 alts after pruning (16 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 126 | 16 | 142 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 126 | 17 | 143 |
| Status | Error | Program |
|---|---|---|
| ✓ | 31.9b | (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
| 32.1b | (/.f64 (-.f64 -1 (+.f64 (cos.f64 x) -2)) (sin.f64 x)) | |
| 33.7b | (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) | |
| 30.6b | (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) | |
| ▶ | 30.4b | (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) |
| ▶ | 32.0b | (+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
| 33.7b | (*.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (sin.f64 x)) | |
| ▶ | 33.7b | (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
| 33.6b | (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) 1/2)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 2)) | |
| 31.9b | (*.f64 (/.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 1/4) | |
| 32.0b | (*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x))) | |
| 33.7b | (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) | |
| 31.9b | (*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x))) | |
| 33.7b | (*.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) | |
| ▶ | 33.7b | (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x)))))) |
| 33.7b | (*.f64 (sin.f64 x) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) | |
| ▶ | 29.8b | (*.f64 1/2 x) |
Compiled 580 to 394 computations (32.1% saved)
Compiled 6 to 4 computations (33.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) |
| ✓ | 0.1b | (*.f64 1/24 (pow.f64 x 3)) |
Compiled 25 to 19 computations (24% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 1/24 (pow.f64 x 3)) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) |
| 0.0ms | x | @ | inf | (*.f64 1/24 (pow.f64 x 3)) |
| 0.0ms | x | @ | -inf | (*.f64 1/24 (pow.f64 x 3)) |
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) |
| 1× | batch-egg-rewrite |
| 1560× | rational.json-simplify-1 |
| 1546× | rational.json-simplify-35 |
| 1312× | exponential.json-3 |
| 1312× | rational.json-1 |
| 1312× | rational.json-2 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 38 |
| 1 | 65 | 38 |
| 2 | 125 | 38 |
| 3 | 243 | 38 |
| 4 | 445 | 38 |
| 5 | 1029 | 38 |
| 6 | 2827 | 38 |
| 7 | 4860 | 38 |
| 8 | 5542 | 38 |
| 9 | 6773 | 38 |
| 10 | 7618 | 38 |
| 11 | 7618 | 38 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/24 (pow.f64 x 3)) |
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/24 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/24 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) 1/48) (*.f64 (pow.f64 x 3) 1/48))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/24 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/24 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) 1/12) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) 1/6) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) 1/3) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 3) 1/3)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 1/3))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 1/3)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 1/3))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 1/3)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/24 (pow.f64 x 3)) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 x 1/4) (*.f64 (pow.f64 x 3) 1/48)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 x (*.f64 (pow.f64 x 3) 1/12))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (+.f64 x (*.f64 (pow.f64 x 3) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (+.f64 (+.f64 x x) (*.f64 (pow.f64 x 3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x 1/4) (*.f64 (pow.f64 x 3) 1/48)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (+.f64 (*.f64 x 4) (*.f64 (pow.f64 x 3) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 1/8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x 4) (*.f64 (pow.f64 x 3) 1/3)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 x x) (*.f64 (pow.f64 x 3) 1/6)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 x (*.f64 (pow.f64 x 3) 1/12))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) 1))))) |
| 1× | egg-herbie |
| 4382× | rational.json-simplify-41 |
| 2798× | rational.json-simplify-43 |
| 2152× | rational.json-simplify-35 |
| 1164× | rational.json-simplify-2 |
| 648× | rational.json-simplify-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 914 |
| 1 | 203 | 914 |
| 2 | 374 | 914 |
| 3 | 820 | 914 |
| 4 | 2023 | 914 |
| 5 | 2798 | 914 |
| 6 | 3310 | 914 |
| 7 | 3597 | 914 |
| 8 | 3737 | 914 |
| 9 | 3856 | 914 |
| 10 | 3963 | 914 |
| 11 | 4068 | 914 |
| 12 | 4173 | 914 |
| 13 | 4278 | 914 |
| 14 | 4278 | 914 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 x) |
(*.f64 1/24 (pow.f64 x 3)) |
(*.f64 1/24 (pow.f64 x 3)) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) 0) |
(+.f64 0 (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 (*.f64 (pow.f64 x 3) 1/48) (*.f64 (pow.f64 x 3) 1/48)) |
(-.f64 (*.f64 1/24 (pow.f64 x 3)) 0) |
(/.f64 (*.f64 1/24 (pow.f64 x 3)) 1) |
(/.f64 (*.f64 (pow.f64 x 3) 1/12) 2) |
(/.f64 (*.f64 (pow.f64 x 3) 1/6) 4) |
(/.f64 (*.f64 (pow.f64 x 3) 1/3) 8) |
(/.f64 (*.f64 2 (*.f64 (pow.f64 x 3) 1/3)) 16) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 1/3))) 32) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 1/3)))) 64) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 1/3))))) 128) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 1/3)))))) 256) |
(pow.f64 (*.f64 1/24 (pow.f64 x 3)) 1) |
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) 0) |
(*.f64 1/2 (+.f64 x (*.f64 (pow.f64 x 3) 1/12))) |
(*.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) 1) |
(*.f64 1 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2))) |
(*.f64 2 (+.f64 (*.f64 x 1/4) (*.f64 (pow.f64 x 3) 1/48))) |
(*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 1/2) |
(*.f64 4 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 1/8)) |
(*.f64 (*.f64 2 (+.f64 x (*.f64 (pow.f64 x 3) 1/12))) 1/4) |
(*.f64 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4) 1/8) |
(*.f64 1/4 (*.f64 2 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)))) |
(*.f64 1/4 (+.f64 (+.f64 x x) (*.f64 (pow.f64 x 3) 1/6))) |
(*.f64 (+.f64 (*.f64 x 1/4) (*.f64 (pow.f64 x 3) 1/48)) 2) |
(*.f64 1/8 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4)) |
(*.f64 1/8 (+.f64 (*.f64 x 4) (*.f64 (pow.f64 x 3) 1/3))) |
(*.f64 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 1/8) 4) |
(*.f64 (+.f64 (*.f64 x 4) (*.f64 (pow.f64 x 3) 1/3)) 1/8) |
(*.f64 (+.f64 (+.f64 x x) (*.f64 (pow.f64 x 3) 1/6)) 1/4) |
(/.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) 1) |
(/.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 2) |
(/.f64 (*.f64 2 (+.f64 x (*.f64 (pow.f64 x 3) 1/12))) 4) |
(/.f64 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4) 8) |
(/.f64 (*.f64 2 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4)) 16) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4))) 32) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4)))) 64) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4))))) 128) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4)))))) 256) |
(pow.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) 1) |
| Outputs |
|---|
(*.f64 1/2 x) |
(*.f64 1/24 (pow.f64 x 3)) |
(*.f64 1/24 (pow.f64 x 3)) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) 0) |
(*.f64 1/24 (pow.f64 x 3)) |
(+.f64 0 (*.f64 1/24 (pow.f64 x 3))) |
(*.f64 1/24 (pow.f64 x 3)) |
(+.f64 (*.f64 (pow.f64 x 3) 1/48) (*.f64 (pow.f64 x 3) 1/48)) |
(*.f64 1/24 (pow.f64 x 3)) |
(-.f64 (*.f64 1/24 (pow.f64 x 3)) 0) |
(*.f64 1/24 (pow.f64 x 3)) |
(/.f64 (*.f64 1/24 (pow.f64 x 3)) 1) |
(*.f64 1/24 (pow.f64 x 3)) |
(/.f64 (*.f64 (pow.f64 x 3) 1/12) 2) |
(*.f64 1/24 (pow.f64 x 3)) |
(/.f64 (*.f64 (pow.f64 x 3) 1/6) 4) |
(*.f64 1/24 (pow.f64 x 3)) |
(/.f64 (*.f64 (pow.f64 x 3) 1/3) 8) |
(*.f64 1/24 (pow.f64 x 3)) |
(/.f64 (*.f64 2 (*.f64 (pow.f64 x 3) 1/3)) 16) |
(*.f64 1/24 (pow.f64 x 3)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 1/3))) 32) |
(*.f64 1/24 (pow.f64 x 3)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 1/3)))) 64) |
(*.f64 1/24 (pow.f64 x 3)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 1/3))))) 128) |
(*.f64 1/24 (pow.f64 x 3)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 1/3)))))) 256) |
(*.f64 1/24 (pow.f64 x 3)) |
(pow.f64 (*.f64 1/24 (pow.f64 x 3)) 1) |
(*.f64 1/24 (pow.f64 x 3)) |
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) 0) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(*.f64 1/2 (+.f64 x (*.f64 (pow.f64 x 3) 1/12))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(*.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) 1) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(*.f64 1 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(*.f64 2 (+.f64 (*.f64 x 1/4) (*.f64 (pow.f64 x 3) 1/48))) |
(*.f64 2 (+.f64 (*.f64 (pow.f64 x 3) 1/48) (*.f64 x 1/4))) |
(*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 1/2) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(*.f64 4 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 1/8)) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(*.f64 (*.f64 2 (+.f64 x (*.f64 (pow.f64 x 3) 1/12))) 1/4) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(*.f64 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4) 1/8) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(*.f64 1/4 (*.f64 2 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(*.f64 1/4 (+.f64 (+.f64 x x) (*.f64 (pow.f64 x 3) 1/6))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(*.f64 (+.f64 (*.f64 x 1/4) (*.f64 (pow.f64 x 3) 1/48)) 2) |
(*.f64 2 (+.f64 (*.f64 (pow.f64 x 3) 1/48) (*.f64 x 1/4))) |
(*.f64 1/8 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4)) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(*.f64 1/8 (+.f64 (*.f64 x 4) (*.f64 (pow.f64 x 3) 1/3))) |
(*.f64 1/8 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x 4))) |
(*.f64 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 1/8) 4) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(*.f64 (+.f64 (*.f64 x 4) (*.f64 (pow.f64 x 3) 1/3)) 1/8) |
(*.f64 1/8 (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x 4))) |
(*.f64 (+.f64 (+.f64 x x) (*.f64 (pow.f64 x 3) 1/6)) 1/4) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(/.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) 1) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(/.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 2) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(/.f64 (*.f64 2 (+.f64 x (*.f64 (pow.f64 x 3) 1/12))) 4) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(/.f64 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4) 8) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(/.f64 (*.f64 2 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4)) 16) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4))) 32) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4)))) 64) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4))))) 128) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 (pow.f64 x 3) 1/12)) 4)))))) 256) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
(pow.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 x 1/2)) 1) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/2 x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
| ✓ | 0.2b | (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) |
| ✓ | 1.3b | (+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
| ✓ | 2.2b | (+.f64 (cos.f64 x) -1) |
Compiled 39 to 22 computations (43.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
| 1.0ms | x | @ | inf | (+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
| 1.0ms | x | @ | -inf | (+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) |
| 1× | batch-egg-rewrite |
| 1650× | rational.json-1 |
| 1650× | rational.json-2 |
| 1650× | rational.json-4 |
| 1650× | rational.json-3 |
| 1642× | exponential.json-3 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 92 |
| 1 | 94 | 92 |
| 2 | 225 | 86 |
| 3 | 528 | 84 |
| 4 | 1315 | 80 |
| 5 | 4694 | 80 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (cos.f64 x) -1) |
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 x) -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (cos.f64 x) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (cos.f64 x) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (cos.f64 x) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 x) -1) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (-.f64 1 (cos.f64 x))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (-.f64 1 (cos.f64 x))) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 1 (cos.f64 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) (/.f64 1/2 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) 1/2) (/.f64 2 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 x) -1) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) (*.f64 (sin.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 (sin.f64 x) -2) (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) (*.f64 4 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 x) -1) 8) (*.f64 8 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)) (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) (neg.f64 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) (neg.f64 (sin.f64 x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 8) (neg.f64 (sin.f64 x))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) 2)) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) (neg.f64 (*.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) (*.f64 (*.f64 2 (/.f64 1 (sin.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) (*.f64 (/.f64 2 (sin.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) (/.f64 1/2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (sin.f64 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) (/.f64 1 (*.f64 (sin.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) (*.f64 (/.f64 1 (*.f64 (sin.f64 x) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) (*.f64 1/4 (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) (*.f64 1/2 (/.f64 1/2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (/.f64 -1 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 -1 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 1 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 2 (*.f64 2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 x) -2) (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 x) -2) (-.f64 1 (cos.f64 x))) (/.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) 8) (/.f64 1 (*.f64 (sin.f64 x) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) 2) (*.f64 2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 (*.f64 (cos.f64 x) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2) (/.f64 1/2 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2) (/.f64 1 (*.f64 (sin.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2) (/.f64 1 (neg.f64 (*.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 (sin.f64 x))) (*.f64 (+.f64 (cos.f64 x) -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 (cos.f64 x) -1)) (/.f64 (*.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) (/.f64 2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 (sin.f64 x) (*.f64 2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 x) -1) 1/2) (/.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 4 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 x) 4)) (*.f64 (+.f64 (cos.f64 x) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4)) (*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))))) |
| 1× | egg-herbie |
| 1356× | rational.json-simplify-53 |
| 1080× | rational.json-simplify-2 |
| 708× | rational.json-simplify-52 |
| 648× | rational.json-simplify-50 |
| 614× | rational.json-simplify-1 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 316 | 5842 |
| 1 | 717 | 5134 |
| 2 | 2704 | 5006 |
| 3 | 4535 | 4994 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (*.f64 1/40320 (pow.f64 x 8))))) |
(-.f64 (cos.f64 x) 1) |
(-.f64 (cos.f64 x) 1) |
(-.f64 (cos.f64 x) 1) |
(-.f64 (cos.f64 x) 1) |
(-.f64 (cos.f64 x) 1) |
(-.f64 (cos.f64 x) 1) |
(-.f64 (cos.f64 x) 1) |
(-.f64 (cos.f64 x) 1) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3))))) |
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) |
(*.f64 -1/2 x) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 -1/2 x)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (*.f64 -1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -17/40320 (pow.f64 x 7)) (*.f64 -1/240 (pow.f64 x 5))))) |
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)) |
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)) |
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)) |
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)) |
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)) |
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)) |
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)) |
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)) |
1 |
(+.f64 (*.f64 1/2 x) 1) |
(+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2 x) (+.f64 1 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))) |
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 (cos.f64 x) 1) |
(-.f64 (+.f64 (cos.f64 x) -1) 0) |
(-.f64 0 (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (-.f64 1 (cos.f64 x))) |
(*.f64 (+.f64 (cos.f64 x) -1) 1) |
(*.f64 1 (+.f64 (cos.f64 x) -1)) |
(*.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) 1/2) |
(*.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) 1/2)) |
(*.f64 4 (/.f64 (+.f64 (cos.f64 x) -1) 4)) |
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) 1/4) |
(*.f64 (-.f64 1 (cos.f64 x)) -1) |
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) 8) 1/8) |
(*.f64 1/2 (+.f64 (*.f64 (cos.f64 x) 2) -2)) |
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2) -1/2) |
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) 1/2) 2) |
(*.f64 1/4 (*.f64 (+.f64 (cos.f64 x) -1) 4)) |
(/.f64 (+.f64 (cos.f64 x) -1) 1) |
(/.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) 2) |
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) 4) |
(/.f64 (-.f64 1 (cos.f64 x)) -1) |
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 8) 8) |
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2) -2) |
(/.f64 (*.f64 2 (*.f64 (+.f64 (cos.f64 x) -1) 8)) 16) |
(/.f64 (*.f64 4 (-.f64 1 (cos.f64 x))) -4) |
(/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2)) 2) |
(/.f64 (/.f64 (*.f64 4 (-.f64 1 (cos.f64 x))) -1) 4) |
(pow.f64 (+.f64 (cos.f64 x) -1) 1) |
(neg.f64 (-.f64 1 (cos.f64 x))) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(-.f64 1 (+.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(-.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0) |
(-.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x))) |
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -1) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1) |
(*.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) (/.f64 1/2 (neg.f64 (sin.f64 x)))) |
(*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1/2)) |
(*.f64 4 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)) |
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 1/2) |
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 1/4) |
(*.f64 1/2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2)) |
(*.f64 1/2 (/.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) (neg.f64 (sin.f64 x)))) |
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) 1/2) (/.f64 2 (neg.f64 (sin.f64 x)))) |
(*.f64 1/4 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) (neg.f64 (sin.f64 x)))) |
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1/2) 2) |
(/.f64 -1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) |
(/.f64 (+.f64 (cos.f64 x) -1) (neg.f64 (sin.f64 x))) |
(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -1) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1) |
(/.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) (*.f64 (sin.f64 x) -2)) |
(/.f64 2 (/.f64 (*.f64 (sin.f64 x) -2) (+.f64 (cos.f64 x) -1))) |
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 2) |
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) (*.f64 4 (neg.f64 (sin.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 4) |
(/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 8) (*.f64 8 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)) 8) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)) (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4))) 16) |
(/.f64 (/.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) (neg.f64 (sin.f64 x))) 2) |
(/.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) (neg.f64 (sin.f64 x))) 4) |
(/.f64 (/.f64 (*.f64 (+.f64 (cos.f64 x) -1) 8) (neg.f64 (sin.f64 x))) 8) |
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1) |
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(+.f64 -1 (+.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(+.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0) |
(+.f64 0 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(+.f64 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1) |
(+.f64 (+.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1) |
(+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) 2)) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) 2))) |
(-.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0) |
(-.f64 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1) |
(-.f64 (+.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1) |
(*.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) (neg.f64 (*.f64 (sin.f64 x) 2)))) |
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (sin.f64 x))) |
(*.f64 (+.f64 (cos.f64 x) -1) (*.f64 (*.f64 2 (/.f64 1 (sin.f64 x))) 1/2)) |
(*.f64 (+.f64 (cos.f64 x) -1) (*.f64 (/.f64 2 (sin.f64 x)) 1/2)) |
(*.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))))) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 1) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(*.f64 (+.f64 (*.f64 (cos.f64 x) 2) -2) (/.f64 1/2 (sin.f64 x))) |
(*.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) 2))) |
(*.f64 4 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) 4))) |
(*.f64 4 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 4)) |
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (sin.f64 x))) 1/2) |
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) (/.f64 1 (*.f64 (sin.f64 x) 4))) |
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) (*.f64 (/.f64 1 (*.f64 (sin.f64 x) 4)) 1)) |
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) (*.f64 1/4 (/.f64 1 (sin.f64 x)))) |
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) 4) (*.f64 1/2 (/.f64 1/2 (sin.f64 x)))) |
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 (cos.f64 x) -1)) |
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (/.f64 -1 (-.f64 1 (cos.f64 x))))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (sin.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 -1 (sin.f64 x)) 1)) |
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 1 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))))) |
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (/.f64 2 (*.f64 2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) -2) (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) -2) (-.f64 1 (cos.f64 x))) (/.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))))) |
(*.f64 (/.f64 4 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) 1/4) |
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) 8) (/.f64 1 (*.f64 (sin.f64 x) 8))) |
(*.f64 1/2 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (sin.f64 x)))) |
(*.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))))) |
(*.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) 2) (*.f64 2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))) |
(*.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 (*.f64 (cos.f64 x) 2) -2)) |
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2) (/.f64 1/2 (neg.f64 (sin.f64 x)))) |
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2) (/.f64 1 (*.f64 (sin.f64 x) -2))) |
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) -2) (/.f64 1 (neg.f64 (*.f64 (sin.f64 x) 2)))) |
(*.f64 (*.f64 2 (/.f64 1 (sin.f64 x))) (*.f64 (+.f64 (cos.f64 x) -1) 1/2)) |
(*.f64 (/.f64 2 (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) -1) 1/2)) |
(*.f64 (/.f64 1/2 (+.f64 (cos.f64 x) -1)) (/.f64 (*.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))))) |
(*.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) (/.f64 2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))))) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) 2)) 2) |
(*.f64 (/.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 (sin.f64 x) (*.f64 2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1)))))) |
(*.f64 (*.f64 (+.f64 (cos.f64 x) -1) 1/2) (/.f64 2 (sin.f64 x))) |
(*.f64 1/4 (/.f64 4 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))) |
(*.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (+.f64 (cos.f64 x) -1))))) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) 4)) (*.f64 (+.f64 (cos.f64 x) -1) 4)) |
(*.f64 (/.f64 -1 (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
(pow.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 1) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(+.f64 -1 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))) |
(+.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 0) |
(+.f64 0 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(+.f64 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1) |
(*.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(*.f64 1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1) |
(*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1/2)) |
(*.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 2) 1/2) |
(*.f64 4 (/.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4)) |
(*.f64 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1) |
(*.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4) 1/4) |
(*.f64 1/2 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 2)) |
(*.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1/2) 2) |
(/.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1) |
(/.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 2) 2) |
(/.f64 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1) |
(/.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4)) 8) |
(/.f64 (*.f64 2 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -2) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4)) (*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4))) 16) |
(/.f64 (/.f64 (*.f64 2 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1) 2) |
(pow.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1) |
(neg.f64 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
| Outputs |
|---|
(*.f64 -1/2 (pow.f64 x 2)) |
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/720 (pow.f64 x 6)))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (*.f64 1/24 (pow.f64 x 4)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (*.f64 1/40320 (pow.f64 x 8))))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (*.f64 1/40320 (pow.f64 x 8))) (*.f64 1/24 (pow.f64 x 4)))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (*.f64 1/40320 (pow.f64 x 8))))) |
(-.f64 (cos.f64 x) 1) |
(+.f64 (cos.f64 x) -1) |
(-.f64 (cos.f64 x) 1) |
(+.f64 (cos.f64 x) -1) |
(-.f64 (cos.f64 x) 1) |
(+.f64 (cos.f64 x) -1) |
(-.f64 (cos.f64 x) 1) |
(+.f64 (cos.f64 x) -1) |
(-.f64 (cos.f64 x) 1) |
(+.f64 (cos.f64 x) -1) |
(-.f64 (cos.f64 x) 1) |
(+.f64 (cos.f64 x) -1) |
(-.f64 (cos.f64 x) 1) |
(+.f64 (cos.f64 x) -1) |
(-.f64 (cos.f64 x) 1) |
(+.f64 (cos.f64 x) -1) |
(*.f64 1/2 x) |
(*.f64 x 1/2) |
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))) |
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3))))) |
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 17/40320 (pow.f64 x 7))))) |
(+.f64 (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 17/40320 (pow.f64 x 7))) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 x 1/2))) |
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))) |
(+.f64 (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3))) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7)))) |
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) |
(*.f64 -1/2 x) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 -1/2 x)) |
(+.f64 (*.f64 -1/2 x) (*.f64 (pow.f64 x 3) -1/24)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (*.f64 -1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 (pow.f64 x 3) -1/24) (+.f64 (*.f64 -1/2 x) (*.f64 (pow.f64 x 5) -1/240))) |
(+.f64 (*.f64 (pow.f64 x 5) -1/240) (+.f64 (*.f64 -1/2 x) (*.f64 (pow.f64 x 3) -1/24))) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 (pow.f64 x 3) -1/24) (*.f64 (pow.f64 x 5) -1/240))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -17/40320 (pow.f64 x 7)) (*.f64 -1/240 (pow.f64 x 5))))) |
(+.f64 (*.f64 (pow.f64 x 3) -1/24) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 (pow.f64 x 5) -1/240) (*.f64 (pow.f64 x 7) -17/40320)))) |
(+.f64 (*.f64 (pow.f64 x 7) -17/40320) (+.f64 (*.f64 (pow.f64 x 5) -1/240) (+.f64 (*.f64 -1/2 x) (*.f64 (pow.f64 x 3) -1/24)))) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 (pow.f64 x 3) -1/24) (+.f64 (*.f64 (pow.f64 x 5) -1/240) (*.f64 (pow.f64 x 7) -17/40320)))) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 (pow.f64 x 5) -1/240) (+.f64 (*.f64 (pow.f64 x 3) -1/24) (*.f64 (pow.f64 x 7) -17/40320)))) |
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)) |
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) |
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)) |
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) |
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)) |
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) |
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)) |
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) |
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)) |
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) |
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)) |
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) |
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)) |
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) |
(/.f64 (-.f64 (cos.f64 x) 1) (sin.f64 x)) |
(/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) |
1 |
(+.f64 (*.f64 1/2 x) 1) |
(+.f64 1 (*.f64 x 1/2)) |
(+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))) |
(+.f64 1 (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 1 (*.f64 x 1/2))) |
(+.f64 (*.f64 1/2 x) (+.f64 1 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))) |
(+.f64 1 (+.f64 (*.f64 x 1/2) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 1 (*.f64 x 1/2)))) |
(+.f64 (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3))) (+.f64 1 (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 1 (*.f64 1/240 (pow.f64 x 5))))) |
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x))) |
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) |
(-.f64 (+.f64 1 (/.f64 1 (sin.f64 x))) (/.f64 (cos.f64 x) (sin.f64 x))) |
(+.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (/.f64 (cos.f64 x) (sin.f64 x)))) |
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x))) |
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) |
(-.f64 (+.f64 1 (/.f64 1 (sin.f64 x))) (/.f64 (cos.f64 x) (sin.f64 x))) |
(+.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (/.f64 (cos.f64 x) (sin.f64 x)))) |
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(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 2) 1/2) |
(+.f64 -1 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 4 (/.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4)) |
(+.f64 -1 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1) |
(+.f64 -1 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4) 1/4) |
(+.f64 -1 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 1/2 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 2)) |
(+.f64 -1 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1/2) 2) |
(+.f64 -1 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1) |
(+.f64 -1 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 2) 2) |
(+.f64 -1 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) -1) |
(+.f64 -1 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4) 4) |
(+.f64 -1 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4)) 8) |
(+.f64 -1 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (*.f64 2 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -2) |
(+.f64 -1 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4)) (*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 4))) 16) |
(+.f64 -1 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (/.f64 (*.f64 2 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1) 2) |
(+.f64 -1 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(pow.f64 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) 1) |
(+.f64 -1 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(neg.f64 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(+.f64 -1 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(+.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) | |
| ✓ | 0.2b | (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x))))) |
| ✓ | 0.2b | (/.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x)))) |
| 2.2b | (-.f64 1 (cos.f64 x)) |
Compiled 88 to 43 computations (51.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x)))) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x))))) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x))))) |
| 0.0ms | x | @ | inf | (/.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x)))) |
| 0.0ms | x | @ | 0 | (/.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x)))) |
| 1× | batch-egg-rewrite |
| 1452× | rational.json-simplify-2 |
| 1422× | exponential.json-3 |
| 1422× | rational.json-1 |
| 1422× | rational.json-2 |
| 1422× | rational.json-4 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 110 |
| 1 | 107 | 110 |
| 2 | 401 | 46 |
| 3 | 1894 | 46 |
| 4 | 4949 | 46 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 2 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (fabs.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) (fabs.f64 (/.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (/.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))) (fabs.f64 (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 1/2) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (sin.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (sin.f64 x)) 2) (/.f64 1 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (sin.f64 x)) 2) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (/.f64 1 (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (*.f64 (/.f64 1 (sin.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 1 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 x) 2)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) (*.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))) (*.f64 (/.f64 1 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1/2) (*.f64 (/.f64 1 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (sin.f64 x)) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2)))) (*.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (+.f64 (cos.f64 x) -1))) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (cos.f64 x) -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) 2))) (*.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x))))))) |
| 1× | egg-herbie |
| 1110× | rational.json-simplify-61 |
| 1040× | rational.json-simplify-43 |
| 948× | rational.json-simplify-44 |
| 946× | rational.json-simplify-47 |
| 862× | rational.json-simplify-35 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 189 | 4233 |
| 1 | 457 | 4121 |
| 2 | 1497 | 4025 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 x 2) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
1/2 |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) 1/2) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (*.f64 1/48 (pow.f64 x 4)))) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (+.f64 (*.f64 17/5760 (pow.f64 x 6)) (*.f64 1/48 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) |
(+.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 0) |
(+.f64 0 (*.f64 (sin.f64 x) (sin.f64 x))) |
(-.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 0) |
(*.f64 (sin.f64 x) (sin.f64 x)) |
(*.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 2 (sin.f64 x))))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 1/2)) |
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) 2))) |
(*.f64 (*.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) 1/2)) |
(*.f64 (*.f64 (sin.f64 x) 2) (*.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) 1/2) |
(*.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (-.f64 1 (cos.f64 x))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))) |
(*.f64 (/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 2 (sin.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) 2)) |
(*.f64 (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) 2)) (*.f64 (sin.f64 x) 2)) |
(*.f64 (/.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) (+.f64 (cos.f64 x) -1)) |
(*.f64 (fabs.f64 (sin.f64 x)) (fabs.f64 (sin.f64 x))) |
(*.f64 (fabs.f64 (-.f64 1 (cos.f64 x))) (fabs.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(*.f64 (fabs.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (fabs.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2)) (fabs.f64 (/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 2 (sin.f64 x)))))) |
(*.f64 (fabs.f64 (/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 2 (sin.f64 x))))) (fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (fabs.f64 (*.f64 (sin.f64 x) 2)) (fabs.f64 (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) 2)))) |
(*.f64 (fabs.f64 (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) 2))) (fabs.f64 (*.f64 (sin.f64 x) 2))) |
(*.f64 (fabs.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) |
(*.f64 (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (fabs.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) |
(*.f64 (fabs.f64 (+.f64 (cos.f64 x) -1)) (fabs.f64 (/.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))))) |
(*.f64 (fabs.f64 (/.f64 -1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))) (fabs.f64 (+.f64 (cos.f64 x) -1))) |
(*.f64 (*.f64 (sin.f64 x) 1/2) (*.f64 (sin.f64 x) 2)) |
(*.f64 (*.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 (sin.f64 x) 2)) |
(*.f64 (*.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) 2)) |
(pow.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1) |
(fabs.f64 (*.f64 (sin.f64 x) (sin.f64 x))) |
(fabs.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) |
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 0) |
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)))) |
(-.f64 0 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 0) |
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4)))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) 2)))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) 1/2)) |
(*.f64 (*.f64 (/.f64 1 (sin.f64 x)) 2) (/.f64 1 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))) |
(*.f64 (*.f64 (/.f64 1 (sin.f64 x)) 2) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1/2)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (/.f64 1 (*.f64 (sin.f64 x) 2))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (*.f64 (/.f64 1 (sin.f64 x)) 1/2)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (/.f64 -1 (sin.f64 x))) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 1) |
(*.f64 -1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x))) |
(*.f64 -1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (cos.f64 x) -1)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)) -1) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) 2)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))) |
(*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(*.f64 (/.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) (*.f64 (-.f64 1 (cos.f64 x)) 2)) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))) (*.f64 (/.f64 1 (sin.f64 x)) 2)) |
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1/2) (*.f64 (/.f64 1 (sin.f64 x)) 2)) |
(*.f64 (*.f64 (/.f64 1 (sin.f64 x)) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))) |
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2)))) (*.f64 (-.f64 1 (cos.f64 x)) 2)) |
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))) |
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (+.f64 (cos.f64 x) -1))) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (cos.f64 x) -1))) -1) |
(*.f64 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) 2))) (*.f64 (-.f64 1 (cos.f64 x)) 2)) |
(*.f64 (*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) 2)) |
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 1) |
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x))) |
| Outputs |
|---|
(pow.f64 x 2) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2)) |
(+.f64 (pow.f64 x 2) (*.f64 -1/3 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (*.f64 2/45 (pow.f64 x 6)))) |
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(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 2 (*.f64 (sin.f64 x) (*.f64 4 (sin.f64 x)))))) |
(*.f64 2 (*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x)))) |
(*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 2 (-.f64 1 (cos.f64 x)))))))) |
(*.f64 (/.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (sin.f64 x)) (*.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(*.f64 2 (*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x))))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) 2)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 2 (*.f64 (sin.f64 x) (*.f64 4 (sin.f64 x)))))) |
(*.f64 2 (*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x)))) |
(*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) 1/2)) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.f64 (*.f64 (/.f64 1 (sin.f64 x)) 2) (/.f64 1 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 2 (/.f64 1 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))))) |
(*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (/.f64 1 (sin.f64 x)))) (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) 1/2)))) |
(*.f64 (*.f64 (/.f64 1 (sin.f64 x)) 2) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1/2)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 1/2 (*.f64 2 (/.f64 1 (sin.f64 x))))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 1 (sin.f64 x)) 1)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 1 (/.f64 1 (sin.f64 x)))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (/.f64 1 (*.f64 (sin.f64 x) 2))) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) 2))) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x)))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (*.f64 (/.f64 1 (sin.f64 x)) 1/2)) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 (sin.f64 x)) (*.f64 1/2 (/.f64 1 (sin.f64 x))))) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 1/2 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x))))) |
(*.f64 (/.f64 2 (sin.f64 x)) (*.f64 (*.f64 1/2 (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x)))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (*.f64 2 (-.f64 1 (cos.f64 x)))))) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (/.f64 2 (sin.f64 x))))) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1/2 (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (/.f64 -1 (sin.f64 x))) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (/.f64 -1 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (/.f64 1 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) |
(*.f64 -1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) |
(*.f64 -1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (cos.f64 x) -1)))) |
(neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (cos.f64 x) -1)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (cos.f64 x) -1)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (sin.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 1 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 1 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (-.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (sin.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 1 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 1 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (-.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (sin.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 1 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 1 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (-.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (sin.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 1 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 1 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (-.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))) (sin.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)) -1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) 2)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) 2))) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x)))) |
(*.f64 (/.f64 -1 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (/.f64 -1 (sin.f64 x))) |
(*.f64 (/.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) (*.f64 (-.f64 1 (cos.f64 x)) 2)) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 2 (*.f64 (sin.f64 x) (*.f64 4 (sin.f64 x)))))) |
(*.f64 2 (*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x)))) |
(*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))) (*.f64 (/.f64 1 (sin.f64 x)) 2)) |
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 2 (/.f64 1 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))))) |
(*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (/.f64 1 (sin.f64 x)))) (/.f64 1 (sin.f64 x)))) |
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) 1/2)))) |
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1/2) (*.f64 (/.f64 1 (sin.f64 x)) 2)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 1/2 (*.f64 2 (/.f64 1 (sin.f64 x))))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 1 (sin.f64 x)) 1)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 1 (/.f64 1 (sin.f64 x)))) |
(*.f64 (*.f64 (/.f64 1 (sin.f64 x)) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 (sin.f64 x)) (*.f64 1/2 (/.f64 1 (sin.f64 x))))) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 1/2 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x))))) |
(*.f64 (/.f64 2 (sin.f64 x)) (*.f64 (*.f64 1/2 (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x)))) |
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2)))) (*.f64 (-.f64 1 (cos.f64 x)) 2)) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 2 (-.f64 1 (cos.f64 x)))))))) |
(*.f64 (/.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (sin.f64 x)) (*.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(*.f64 2 (*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x))))) |
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (*.f64 2 (-.f64 1 (cos.f64 x)))))) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (/.f64 2 (sin.f64 x))))) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1/2 (-.f64 1 (cos.f64 x)))))) |
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1 (+.f64 (cos.f64 x) -1))) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (/.f64 -1 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (/.f64 1 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (cos.f64 x) -1))) -1) |
(neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (cos.f64 x) -1)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (neg.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (cos.f64 x) -1)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (sin.f64 x)))) |
(*.f64 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) 2))) (*.f64 (-.f64 1 (cos.f64 x)) 2)) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 2 (*.f64 (sin.f64 x) (*.f64 4 (sin.f64 x)))))) |
(*.f64 2 (*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x)))) |
(*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(*.f64 (*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) 1/2) (*.f64 (-.f64 1 (cos.f64 x)) 2)) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x)))) |
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) |
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 1 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) |
| ✓ | 0.2b | (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
| ✓ | 0.3b | (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
| 2.2b | (-.f64 1 (cos.f64 x)) |
Compiled 75 to 38 computations (49.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
| 1.0ms | x | @ | -inf | (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
| 0.0ms | x | @ | inf | (/.f64 1 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) |
| 0.0ms | x | @ | -inf | (/.f64 1 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
| 1× | batch-egg-rewrite |
| 1118× | rational.json-simplify-51 |
| 880× | rational.json-simplify-49 |
| 854× | rational.json-simplify-46 |
| 692× | rational.json-simplify-35 |
| 582× | rational.json-simplify-43 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 179 |
| 1 | 100 | 167 |
| 2 | 297 | 115 |
| 3 | 1057 | 115 |
| 4 | 5239 | 115 |
| 5 | 7714 | 115 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(/.f64 1 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1470× | rational.json-simplify-38 |
| 1018× | rational.json-simplify-2 |
| 866× | rational.json-simplify-50 |
| 736× | rational.json-simplify-35 |
| 720× | rational.json-simplify-43 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 704 | 24286 |
| 1 | 2828 | 23544 |
| 2 | 4990 | 23138 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 4 (pow.f64 x 2)) |
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) 2/3) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/60 (pow.f64 x 2))) 2/3) |
(-.f64 (+.f64 (*.f64 1/1512 (pow.f64 x 4)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/60 (pow.f64 x 2)))) 2/3) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 1/4 (pow.f64 x 2)) |
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 17/2880 (pow.f64 x 6)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))) |
(+.f64 (*.f64 31/40320 (pow.f64 x 8)) (+.f64 (*.f64 17/2880 (pow.f64 x 6)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) |
(+.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) 0) |
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) |
(-.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) 0) |
(-.f64 0 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(-.f64 0 (/.f64 (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)))) |
(/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) 1) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) 2) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))) |
(/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) 2) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(/.f64 -1 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) |
(/.f64 4 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) 4)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) 4) 4) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2) (/.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) |
(/.f64 (*.f64 (sin.f64 x) 4) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4))) |
(/.f64 (*.f64 (sin.f64 x) -2) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -2 (sin.f64 x))))) |
(/.f64 (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(/.f64 (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (fabs.f64 (/.f64 1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))) |
(/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 -1 (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) -1) |
(/.f64 (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(/.f64 (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (-.f64 1 (cos.f64 x))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2)) (*.f64 (-.f64 1 (cos.f64 x)) 2)) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2)) (neg.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) (+.f64 (cos.f64 x) -1)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (*.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) 4)) (*.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) 4)) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4) (*.f64 2 (/.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) 2) 4) (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) 4) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (+.f64 (cos.f64 x) -1) 4))) |
(/.f64 -2 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 4)) (*.f64 (-.f64 1 (cos.f64 x)) 4)) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) -2)) (*.f64 2 (+.f64 (cos.f64 x) -1))) |
(/.f64 (*.f64 2 (*.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) 4)) 8) |
(/.f64 (*.f64 2 (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -2 (sin.f64 x)))) |
(/.f64 (*.f64 2 (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (*.f64 2 (/.f64 1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(/.f64 (fabs.f64 (sin.f64 x)) (fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) |
(/.f64 (fabs.f64 (sin.f64 x)) (fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) 4) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) 4)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) -2) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 2 (+.f64 (cos.f64 x) -1))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 1 (+.f64 (cos.f64 x) -1)) (/.f64 1 (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)))) |
(/.f64 (fabs.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2)) (fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))) |
(/.f64 (fabs.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2)) (fabs.f64 (/.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(/.f64 (*.f64 2 (fabs.f64 (sin.f64 x))) (fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))))) |
(/.f64 (*.f64 2 (fabs.f64 (sin.f64 x))) (fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -2 (sin.f64 x)))))) |
(/.f64 (*.f64 (fabs.f64 (sin.f64 x)) 4) (fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)))) |
(/.f64 (/.f64 (/.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 2) |
(/.f64 (*.f64 2 (*.f64 (*.f64 (sin.f64 x) 4) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 4)) |
(/.f64 (*.f64 2 (*.f64 (*.f64 (sin.f64 x) -2) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (*.f64 (+.f64 (cos.f64 x) -1) 4)) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2)) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (fabs.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2))) (fabs.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2))) |
(/.f64 (*.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 2 (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 2 (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) |
(/.f64 (fabs.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (fabs.f64 (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (sin.f64 x)) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))))) |
(/.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2)) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 1/2 (sin.f64 x))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (+.f64 (cos.f64 x) -1)) (/.f64 -1 (sin.f64 x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (*.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))) (sin.f64 x)) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (*.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) 1/2) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (*.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1/2)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (*.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))) (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) |
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(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
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(/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) (*.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
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(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))) |
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(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) 2) |
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(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 (sin.f64 x) 4)) |
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 4)))) |
(/.f64 (*.f64 (sin.f64 x) -2) (*.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (*.f64 2 (+.f64 (cos.f64 x) -1)))) |
(/.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (*.f64 (sin.f64 x) -2)) |
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(/.f64 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 4) (*.f64 (*.f64 (sin.f64 x) 2) 4)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) 4) (*.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (*.f64 (+.f64 (cos.f64 x) -1) 4))) |
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(/.f64 -2 (*.f64 2 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))) |
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(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 4) |
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(/.f64 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)))) (+.f64 (cos.f64 x) -1)) |
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(/.f64 (*.f64 (*.f64 (sin.f64 x) -2) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)))) (*.f64 2 (+.f64 (cos.f64 x) -1))) |
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(/.f64 (/.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 2) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) |
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(/.f64 (/.f64 -1 (sin.f64 x)) (/.f64 1 (+.f64 (cos.f64 x) -1))) |
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(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (sin.f64 x))) 1/2) |
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(/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4)) |
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(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)) |
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(/.f64 (/.f64 (/.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 2) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) |
(/.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))) 2) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (fabs.f64 (sin.f64 x))) (/.f64 1 (fabs.f64 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1) |
(/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4)) (neg.f64 (*.f64 (sin.f64 x) 4))) |
(/.f64 (neg.f64 (*.f64 2 (+.f64 (cos.f64 x) -1))) (*.f64 (sin.f64 x) 2)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2)) (neg.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -2 (sin.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))))) (+.f64 (cos.f64 x) -1)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (/.f64 2 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))))) (-.f64 1 (cos.f64 x))) |
(/.f64 (neg.f64 (/.f64 (/.f64 (*.f64 (sin.f64 x) 4) (sin.f64 x)) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 x) -2) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))))) (neg.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) (neg.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2)))) |
(/.f64 (neg.f64 (/.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (neg.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) |
(/.f64 (neg.f64 (/.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (neg.f64 (*.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) 4))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))) (neg.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) (neg.f64 (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2))) (*.f64 (sin.f64 x) 2)) |
(/.f64 (/.f64 (*.f64 (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) |
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1) |
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(+.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) 0) |
(+.f64 0 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)))) |
(-.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) 0) |
(-.f64 0 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (neg.f64 (sin.f64 x)))) |
(-.f64 0 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) (sin.f64 x))) |
(*.f64 (sin.f64 x) (*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(*.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -1 (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 -1 (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) 1)) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (*.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))))) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) 1) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 1/2 (sin.f64 x)))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 1)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 2 (*.f64 (*.f64 (sin.f64 x) 4) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(*.f64 2 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) 2)) |
(*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2)))) |
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 1 (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))) |
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x))) |
(*.f64 (+.f64 (cos.f64 x) -1) (*.f64 (/.f64 1 (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) 1)) |
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 2 (*.f64 (*.f64 (sin.f64 x) -2) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(*.f64 -1 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) 1/2) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (/.f64 1 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 4)))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 (*.f64 (sin.f64 x) 4) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(*.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 1 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) -2)))) |
(*.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 1 (*.f64 (*.f64 (sin.f64 x) -2) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(*.f64 (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (*.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (/.f64 1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (*.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))))) |
(*.f64 (*.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)))) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(*.f64 (/.f64 -1 (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) 2)) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (+.f64 (cos.f64 x) -1)) |
(*.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) |
(*.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))) |
(*.f64 (/.f64 -1 (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1/2) (/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2) (*.f64 (sin.f64 x) (*.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (neg.f64 (sin.f64 x))) -1) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) (sin.f64 x)) -1) |
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) 1) |
(neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (neg.f64 (sin.f64 x)))) |
(neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) (sin.f64 x))) |
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)))) |
(fabs.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))))) |
(fabs.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))))) |
(fabs.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (*.f64 (sin.f64 x) (*.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))))) |
(fabs.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)))))) |
| Outputs |
|---|
(/.f64 4 (pow.f64 x 2)) |
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) 2/3) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/60 (pow.f64 x 2))) 2/3) |
(+.f64 (*.f64 (pow.f64 x 2) 1/60) (-.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) 2/3)) |
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (-.f64 (*.f64 (pow.f64 x 2) 1/60) 2/3)) |
(-.f64 (+.f64 (*.f64 1/1512 (pow.f64 x 4)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/60 (pow.f64 x 2)))) 2/3) |
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 (pow.f64 x 2) 1/60) (*.f64 1/1512 (pow.f64 x 4)))) 2/3) |
(+.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 (pow.f64 x 2) 1/60)) (-.f64 (*.f64 1/1512 (pow.f64 x 4)) 2/3)) |
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/60) 2/3) (*.f64 1/1512 (pow.f64 x 4)))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
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(*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) 2)) |
(*.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 1/2 (sin.f64 x))))) |
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (+.f64 (cos.f64 x) -1)) |
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (/.f64 (sin.f64 x) 1))) |
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) 1/2)) |
(*.f64 (/.f64 2 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (*.f64 1/2 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (/.f64 1/2 (sin.f64 x)))) |
(*.f64 (/.f64 -1 (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (/.f64 -1 (sin.f64 x)))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1/2) (/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 2) (*.f64 (sin.f64 x) (*.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))))) |
(*.f64 (*.f64 1/2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 2 (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))))))) |
(*.f64 2 (*.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 (*.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) (-.f64 1 (cos.f64 x))))) (*.f64 1/2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(*.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (neg.f64 (sin.f64 x))) -1) |
(neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (sin.f64 x))))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (sin.f64 x))))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) (sin.f64 x)) -1) |
(neg.f64 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) 1) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (neg.f64 (sin.f64 x)))) |
(neg.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (sin.f64 x))))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (sin.f64 x))))) |
(neg.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) (sin.f64 x))) |
(neg.f64 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)))) |
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))) |
(fabs.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))))) |
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))) |
(fabs.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))))) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))))) |
(*.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (sin.f64 x)) (*.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))))) |
(/.f64 (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) |
(fabs.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (*.f64 (sin.f64 x) (*.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))))) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))))) |
(*.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (sin.f64 x)) (*.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))))) |
(/.f64 (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (fabs.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) |
(fabs.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)))))) |
(fabs.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))) |
Compiled 38934 to 22359 computations (42.6% saved)
38 alts after pruning (34 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1440 | 31 | 1471 |
| Fresh | 8 | 3 | 11 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 4 | 5 |
| Total | 1450 | 38 | 1488 |
| Status | Error | Program |
|---|---|---|
| 33.7b | (/.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (sin.f64 x)) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) | |
| ▶ | 33.7b | (/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x))) |
| 33.7b | (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) | |
| 32.0b | (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) | |
| 31.9b | (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (/.f64 1/2 (sin.f64 x)))) | |
| ✓ | 31.9b | (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
| 32.1b | (/.f64 (-.f64 -1 (+.f64 (cos.f64 x) -2)) (sin.f64 x)) | |
| 33.6b | (/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) | |
| 33.7b | (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) (*.f64 (sin.f64 x) (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 1 (-.f64 1 (cos.f64 x)))))) | |
| 33.7b | (/.f64 (sin.f64 x) (/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) | |
| 33.7b | (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) | |
| 31.9b | (/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) | |
| 33.7b | (/.f64 -1 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) | |
| 31.9b | (/.f64 -1 (*.f64 (sin.f64 x) (/.f64 -1 (-.f64 1 (cos.f64 x))))) | |
| 32.0b | (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) | |
| 31.9b | (-.f64 1 (+.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) | |
| 30.6b | (+.f64 (*.f64 x 1/2) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) | |
| ✓ | 30.4b | (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) |
| 33.7b | (+.f64 -1 (-.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) (+.f64 (cos.f64 x) -1)))) | |
| ✓ | 32.0b | (+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
| ▶ | 32.0b | (+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1)) |
| ▶ | 61.3b | (+.f64 -1 1) |
| ▶ | 33.7b | (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))) |
| 33.7b | (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))) | |
| 33.8b | (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x))))))) | |
| 33.9b | (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (/.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))) | |
| 33.7b | (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))))) | |
| 33.8b | (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))) | |
| 33.7b | (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))) | |
| 33.8b | (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) | |
| 31.9b | (*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x))) | |
| 33.0b | (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))) | |
| 33.8b | (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (-.f64 1 (cos.f64 x)))))) | |
| 32.0b | (*.f64 (sin.f64 x) (+.f64 -1 (-.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x))))) | |
| 33.1b | (*.f64 (sin.f64 x) (*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x)))) | |
| 31.9b | (*.f64 (sin.f64 x) (neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)))) | |
| ▶ | 24.5b | (*.f64 (sin.f64 x) 1/2) |
| ✓ | 29.8b | (*.f64 1/2 x) |
Compiled 1786 to 1117 computations (37.5% saved)
Compiled 9 to 5 computations (44.4% saved)
Compiled 6 to 6 computations (0% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) | |
| ✓ | 0.3b | (+.f64 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1) |
| ✓ | 1.3b | (+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1)) |
| 2.2b | (+.f64 (cos.f64 x) -1) |
Compiled 67 to 42 computations (37.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1)) |
| 0.0ms | x | @ | inf | (+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1)) |
| 0.0ms | x | @ | -inf | (+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1)) |
| 0.0ms | x | @ | -inf | (+.f64 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1) |
| 0.0ms | x | @ | inf | (+.f64 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1) |
| 1× | batch-egg-rewrite |
| 1528× | rational.json-1 |
| 1528× | rational.json-2 |
| 1528× | rational.json-4 |
| 1528× | rational.json-3 |
| 1520× | exponential.json-3 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 78 |
| 1 | 112 | 72 |
| 2 | 260 | 60 |
| 3 | 596 | 54 |
| 4 | 1469 | 52 |
| 5 | 4708 | 48 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1)) |
(+.f64 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -2 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 2) (/.f64 1/2 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 2) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 1/2) (/.f64 2 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 4) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 2) (*.f64 (sin.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 (sin.f64 x) -2) (+.f64 -1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 4) (*.f64 4 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 8) (*.f64 8 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)) (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 2) (neg.f64 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 4) (neg.f64 (sin.f64 x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 8) (neg.f64 (sin.f64 x))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2) -2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (neg.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4)) (*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))))))) |
| 1× | egg-herbie |
| 1610× | rational.json-simplify-35 |
| 1064× | rational.json-simplify-1 |
| 942× | rational.json-simplify-51 |
| 896× | rational.json-simplify-2 |
| 536× | rational.json-simplify-41 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 165 | 3183 |
| 1 | 406 | 3099 |
| 2 | 967 | 2679 |
| 3 | 2775 | 2493 |
| 4 | 5482 | 2493 |
| 5 | 6976 | 2493 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3))))) |
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) |
1 |
(+.f64 (*.f64 1/2 x) 1) |
(+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2 x) (+.f64 1 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))) |
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))) |
(-.f64 1 (+.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))) |
(-.f64 1 (-.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -2)) |
(-.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0) |
(-.f64 0 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) |
(-.f64 0 (-.f64 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2) -2)) |
(-.f64 -2 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2)) |
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (sin.f64 x))) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -1) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1) |
(*.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 2) (/.f64 1/2 (neg.f64 (sin.f64 x)))) |
(*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1/2)) |
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 1/2) |
(*.f64 4 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)) |
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 1/4) |
(*.f64 1/2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 2) (neg.f64 (sin.f64 x)))) |
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1/2) 2) |
(*.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 1/2) (/.f64 2 (neg.f64 (sin.f64 x)))) |
(*.f64 1/4 (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 4) (neg.f64 (sin.f64 x)))) |
(/.f64 -1 (/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))) |
(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (sin.f64 x))) |
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -1) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1) |
(/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 2) (*.f64 (sin.f64 x) -2)) |
(/.f64 2 (/.f64 (*.f64 (sin.f64 x) -2) (+.f64 -1 (cos.f64 x)))) |
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 2) |
(/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 4) (*.f64 4 (neg.f64 (sin.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 8) (*.f64 8 (neg.f64 (sin.f64 x)))) |
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)) 8) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)) (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4))) 16) |
(/.f64 (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 2) (neg.f64 (sin.f64 x))) 2) |
(/.f64 (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 4) (neg.f64 (sin.f64 x))) 4) |
(/.f64 (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 8) (neg.f64 (sin.f64 x))) 8) |
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) |
(neg.f64 (-.f64 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2) -2)) |
(-.f64 -1 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2)) |
(-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) |
(-.f64 (neg.f64 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2)) 1) |
(-.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 0) |
(-.f64 0 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))) |
(*.f64 -1 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))) |
(*.f64 1 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))) |
(*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -1) |
(*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1) |
(*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1/2)) |
(*.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -2) 1/2) |
(*.f64 4 (/.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4)) |
(*.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4) 1/4) |
(*.f64 1/2 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -2)) |
(*.f64 1/2 (neg.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 2))) |
(*.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1/2) -2) |
(*.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1/2) 2) |
(/.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -1) |
(/.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1) |
(/.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 2) -2) |
(/.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -2) 2) |
(/.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4) -4) |
(/.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4)) -8) |
(/.f64 (*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4)) 8) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4)) (*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4))) 16) |
(/.f64 (neg.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 2)) 2) |
(/.f64 (neg.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4)) 4) |
(/.f64 (neg.f64 (*.f64 2 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4))) 8) |
(pow.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1) |
(neg.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))) |
| Outputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3))))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/240 (pow.f64 x 5))))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))) |
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) |
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) |
1 |
(+.f64 (*.f64 1/2 x) 1) |
(+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) 1)) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) 1)) |
(+.f64 (*.f64 1/2 x) (+.f64 1 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) 1))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 1 (*.f64 1/240 (pow.f64 x 5))))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) 1) (*.f64 1/2 x))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) 1))) |
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x))) |
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) |
(+.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (/.f64 (cos.f64 x) (sin.f64 x)))) |
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x))) |
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) |
(+.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (/.f64 (cos.f64 x) (sin.f64 x)))) |
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x))) |
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) |
(+.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (/.f64 (cos.f64 x) (sin.f64 x)))) |
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x))) |
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) |
(+.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (/.f64 (cos.f64 x) (sin.f64 x)))) |
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x))) |
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) |
(+.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (/.f64 (cos.f64 x) (sin.f64 x)))) |
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x))) |
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) |
(+.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (/.f64 (cos.f64 x) (sin.f64 x)))) |
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x))) |
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) |
(+.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (/.f64 (cos.f64 x) (sin.f64 x)))) |
(-.f64 (+.f64 (/.f64 1 (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x))) |
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x)))) |
(+.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (/.f64 (cos.f64 x) (sin.f64 x)))) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(-.f64 1 (+.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(-.f64 1 (-.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -2)) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(-.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(-.f64 0 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(-.f64 0 (-.f64 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2) -2)) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(-.f64 -2 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2)) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -1 (sin.f64 x))) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -1) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 2) (/.f64 1/2 (neg.f64 (sin.f64 x)))) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1/2)) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 1/2) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 4 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 1/4) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 1/2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2)) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 1/2 (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 2) (neg.f64 (sin.f64 x)))) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1/2) 2) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 1/2) (/.f64 2 (neg.f64 (sin.f64 x)))) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 1/4 (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 4) (neg.f64 (sin.f64 x)))) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 -1 (/.f64 (sin.f64 x) (+.f64 -1 (cos.f64 x)))) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (+.f64 -1 (cos.f64 x)) (neg.f64 (sin.f64 x))) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -1) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 2) (*.f64 (sin.f64 x) -2)) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 2 (/.f64 (*.f64 (sin.f64 x) -2) (+.f64 -1 (cos.f64 x)))) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 2) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 4) (*.f64 4 (neg.f64 (sin.f64 x)))) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)) |
(/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 8) (*.f64 8 (neg.f64 (sin.f64 x)))) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) 4) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)) 8) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4)) (*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4))) 16) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 2) (neg.f64 (sin.f64 x))) 2) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 4) (neg.f64 (sin.f64 x))) 4) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (/.f64 (*.f64 (+.f64 -1 (cos.f64 x)) 8) (neg.f64 (sin.f64 x))) 8) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(neg.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(neg.f64 (-.f64 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2) -2)) |
(-.f64 -1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(neg.f64 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) 0)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(-.f64 -1 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2)) |
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2)) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) |
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2)) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(-.f64 (neg.f64 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2)) 1) |
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2)) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(-.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 0) |
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2)) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(-.f64 0 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))) |
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2)) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(*.f64 -1 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))) |
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2)) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(*.f64 1 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))) |
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2)) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -1) |
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2)) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1) |
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2)) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1/2)) |
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2)) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(*.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -2) 1/2) |
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2)) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(*.f64 4 (/.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4)) |
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2)) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(*.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4) 1/4) |
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2)) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(*.f64 1/2 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -2)) |
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2)) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(*.f64 1/2 (neg.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 2))) |
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2)) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(*.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1/2) -2) |
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2)) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(*.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1/2) 2) |
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2)) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(/.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -1) |
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2)) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(/.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1) |
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2)) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(/.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 2) -2) |
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2)) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(/.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) -2) 2) |
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2)) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(/.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4) -4) |
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2)) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(/.f64 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4) 4) |
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2)) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(/.f64 (*.f64 2 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4)) -8) |
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2)) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(/.f64 (*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4)) 8) |
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2)) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4)) (*.f64 2 (*.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4))) 16) |
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2)) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(/.f64 (neg.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 2)) 2) |
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2)) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(/.f64 (neg.f64 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4)) 4) |
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2)) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(/.f64 (neg.f64 (*.f64 2 (*.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 4))) 8) |
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2)) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(pow.f64 (-.f64 1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x))) 1) |
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2)) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
(neg.f64 (+.f64 -1 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)))) |
(-.f64 -1 (+.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -2)) |
(-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -1) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (pow.f64 (-.f64 1 (cos.f64 x)) 2) |
| ✓ | 0.3b | (pow.f64 (sin.f64 x) 2) |
| 2.2b | (-.f64 1 (cos.f64 x)) | |
| ✓ | 15.4b | (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) |
Compiled 59 to 34 computations (42.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (pow.f64 (-.f64 1 (cos.f64 x)) 2) |
| 0.0ms | x | @ | 0 | (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) |
| 0.0ms | x | @ | -inf | (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) |
| 0.0ms | x | @ | inf | (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) |
| 0.0ms | x | @ | 0 | (pow.f64 (sin.f64 x) 2) |
| 1× | batch-egg-rewrite |
| 1516× | rational.json-1 |
| 1516× | rational.json-2 |
| 1516× | rational.json-4 |
| 1516× | rational.json-3 |
| 1508× | exponential.json-3 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 61 |
| 1 | 89 | 61 |
| 2 | 212 | 61 |
| 3 | 489 | 61 |
| 4 | 1183 | 61 |
| 5 | 4282 | 61 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (-.f64 1 (cos.f64 x)) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (pow.f64 (sin.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 2 (pow.f64 (sin.f64 x) 2))) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 2 (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) 2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 4 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))))) |
| 1× | egg-herbie |
| 1508× | rational.json-simplify-39 |
| 1372× | rational.json-simplify-2 |
| 802× | rational.json-simplify-53 |
| 554× | rational.json-simplify-50 |
| 530× | rational.json-simplify-43 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 293 | 5987 |
| 1 | 585 | 5873 |
| 2 | 3137 | 5449 |
| 3 | 5822 | 5329 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/4 (pow.f64 x 2)) |
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 17/2880 (pow.f64 x 6)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))) |
(+.f64 (*.f64 31/40320 (pow.f64 x 8)) (+.f64 (*.f64 17/2880 (pow.f64 x 6)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))) |
(pow.f64 x 2) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
(*.f64 1/4 (pow.f64 x 4)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 6)) (*.f64 1/4 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 6)) (+.f64 (*.f64 1/320 (pow.f64 x 8)) (*.f64 1/4 (pow.f64 x 4)))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 6)) (+.f64 (*.f64 1/320 (pow.f64 x 8)) (+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 -17/120960 (pow.f64 x 10))))) |
(+.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) 0) |
(+.f64 0 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))) |
(+.f64 -1 (-.f64 1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (pow.f64 (sin.f64 x) 2))))) |
(+.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 2 (pow.f64 (sin.f64 x) 2))) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 2 (pow.f64 (sin.f64 x) 2)))) |
(-.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) 0) |
(-.f64 0 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (pow.f64 (sin.f64 x) 2)))) |
(*.f64 1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))) |
(*.f64 2 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 2 (pow.f64 (sin.f64 x) 2)))) |
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (pow.f64 (sin.f64 x) 2))) |
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 1/2 (*.f64 2 (/.f64 1 (pow.f64 (sin.f64 x) 2))))) |
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 1/2 (/.f64 2 (pow.f64 (sin.f64 x) 2)))) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) 1) |
(*.f64 (*.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 1/2 (pow.f64 (sin.f64 x) 2))) |
(*.f64 -1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (pow.f64 (sin.f64 x) 2)))) |
(*.f64 -1 (/.f64 (*.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (neg.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2))))) |
(*.f64 4 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (pow.f64 (sin.f64 x) 2) 4))) |
(*.f64 4 (/.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) 4)) |
(*.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 2 (pow.f64 (sin.f64 x) 2))) 1/2) |
(*.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4) (/.f64 1 (*.f64 (pow.f64 (sin.f64 x) 2) 4))) |
(*.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4) (*.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/4)) |
(*.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4) (*.f64 (/.f64 1/2 (pow.f64 (sin.f64 x) 2)) 1/2)) |
(*.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(*.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 -1 (pow.f64 (sin.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 2 (*.f64 2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (/.f64 1 (*.f64 2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (/.f64 1/2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4) (pow.f64 (sin.f64 x) 2)) 1/4) |
(*.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 8) (/.f64 1 (*.f64 (pow.f64 (sin.f64 x) 2) 8))) |
(*.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) (*.f64 2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) |
(*.f64 (/.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 1/2 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 2 (pow.f64 (sin.f64 x) 2)))) |
(*.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) -2) (/.f64 1/2 (neg.f64 (pow.f64 (sin.f64 x) 2)))) |
(*.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) -2) (/.f64 1 (*.f64 (pow.f64 (sin.f64 x) 2) -2))) |
(*.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) -2) (/.f64 1 (neg.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2))))) |
(*.f64 (*.f64 2 (/.f64 1 (pow.f64 (sin.f64 x) 2))) (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2)) |
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (pow.f64 (sin.f64 x) 2))) -1) |
(*.f64 (/.f64 1/2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 2 (pow.f64 (sin.f64 x) 2))) 2) |
(*.f64 (/.f64 2 (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2)) |
(*.f64 (/.f64 -1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 (/.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) |
(*.f64 1/4 (/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4) (pow.f64 (sin.f64 x) 2))) |
(*.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 x) 2) 4)) (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4)) |
(*.f64 (/.f64 -1 (pow.f64 (sin.f64 x) 2)) (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2) (*.f64 2 (/.f64 1 (pow.f64 (sin.f64 x) 2)))) |
(*.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2) (/.f64 2 (pow.f64 (sin.f64 x) 2))) |
(*.f64 (*.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/4) (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4)) |
(*.f64 (*.f64 (/.f64 1/2 (pow.f64 (sin.f64 x) 2)) 1/2) (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4)) |
(*.f64 (*.f64 1/2 (*.f64 2 (/.f64 1 (pow.f64 (sin.f64 x) 2)))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(*.f64 (*.f64 1/2 (/.f64 2 (pow.f64 (sin.f64 x) 2))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(*.f64 (/.f64 1 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (/.f64 2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (/.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (/.f64 1/2 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (/.f64 1 (pow.f64 (sin.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (/.f64 -1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (pow.f64 (sin.f64 x) 2)) |
(*.f64 (/.f64 1 (*.f64 2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (/.f64 2 (*.f64 2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (/.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) (*.f64 2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (/.f64 (*.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (neg.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)))) -1) |
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (pow.f64 (sin.f64 x) 2) 4)) 4) |
(*.f64 (/.f64 1/2 (neg.f64 (pow.f64 (sin.f64 x) 2))) (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) -2)) |
(*.f64 (/.f64 1/2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) (/.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) 4) 4) |
(*.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 x) 2) 8)) (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 8)) |
(*.f64 (/.f64 1 (*.f64 (pow.f64 (sin.f64 x) 2) -2)) (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) -2)) |
(*.f64 (/.f64 1 (neg.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)))) (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) -2)) |
(pow.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) 1) |
(neg.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (pow.f64 (sin.f64 x) 2)))) |
(neg.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(neg.f64 (/.f64 (*.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (neg.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2))))) |
(+.f64 (pow.f64 (sin.f64 x) 2) 0) |
(+.f64 0 (pow.f64 (sin.f64 x) 2)) |
(+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2)))) |
(-.f64 (pow.f64 (sin.f64 x) 2) 0) |
(-.f64 0 (neg.f64 (pow.f64 (sin.f64 x) 2))) |
(*.f64 1 (pow.f64 (sin.f64 x) 2)) |
(*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2)) |
(*.f64 (pow.f64 (sin.f64 x) 2) 1) |
(*.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 1/2) |
(*.f64 -1 (neg.f64 (pow.f64 (sin.f64 x) 2))) |
(*.f64 4 (/.f64 (pow.f64 (sin.f64 x) 2) 4)) |
(*.f64 4 (pow.f64 (*.f64 (sin.f64 x) 1/2) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 1/4) |
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 8) 1/8) |
(*.f64 1/2 (*.f64 2 (pow.f64 (sin.f64 x) 2))) |
(*.f64 1/4 (*.f64 (pow.f64 (sin.f64 x) 2) 4)) |
(*.f64 1/4 (pow.f64 (*.f64 2 (sin.f64 x)) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2) 2) |
(*.f64 1/8 (*.f64 (pow.f64 (sin.f64 x) 2) 8)) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 4) 4) |
(*.f64 (pow.f64 (*.f64 (sin.f64 x) 1/2) 2) 4) |
(*.f64 (pow.f64 (*.f64 2 (sin.f64 x)) 2) 1/4) |
(/.f64 1 (/.f64 1 (pow.f64 (sin.f64 x) 2))) |
(/.f64 2 (*.f64 2 (/.f64 1 (pow.f64 (sin.f64 x) 2)))) |
(/.f64 2 (/.f64 2 (pow.f64 (sin.f64 x) 2))) |
(/.f64 (pow.f64 (sin.f64 x) 2) 1) |
(/.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 2) |
(/.f64 -1 (/.f64 -1 (pow.f64 (sin.f64 x) 2))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 4) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 8) 8) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2) -2) |
(/.f64 1/2 (/.f64 1/2 (pow.f64 (sin.f64 x) 2))) |
(/.f64 (neg.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2))) -2) |
(/.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8)) 16) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2)) 2) |
(neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 2))) |
(+.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 0) |
(+.f64 0 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(+.f64 (-.f64 1 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) -1) |
(-.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 0) |
(-.f64 0 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(*.f64 2 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2)) |
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1) |
(*.f64 (*.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1/2) |
(*.f64 -1 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 4 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4)) |
(*.f64 4 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) 2)) |
(*.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4) 1/4) |
(*.f64 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) -1) |
(*.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 8) 1/8) |
(*.f64 1/2 (*.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) -2) -1/2) |
(*.f64 1/4 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4)) |
(*.f64 1/4 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 2)) |
(*.f64 -1/2 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) -2)) |
(*.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2) 2) |
(*.f64 1/8 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 8)) |
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4) 4) |
(*.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) 2) 4) |
(*.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 2) 1/4) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1) |
(/.f64 (*.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 2) |
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4) 4) |
(/.f64 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) -1) |
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 8) 8) |
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) -2) -2) |
(/.f64 (*.f64 2 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 8)) 16) |
(/.f64 (*.f64 4 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) -4) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) -2)) 2) |
(/.f64 (neg.f64 (*.f64 4 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) 4) |
(neg.f64 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
| Outputs |
|---|
(*.f64 1/4 (pow.f64 x 2)) |
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))) |
(+.f64 (*.f64 17/2880 (pow.f64 x 6)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))) |
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 17/2880 (pow.f64 x 6)))) |
(+.f64 (*.f64 31/40320 (pow.f64 x 8)) (+.f64 (*.f64 17/2880 (pow.f64 x 6)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))) |
(+.f64 (*.f64 17/2880 (pow.f64 x 6)) (+.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))) (*.f64 31/40320 (pow.f64 x 8)))) |
(+.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))) (+.f64 (*.f64 31/40320 (pow.f64 x 8)) (*.f64 17/2880 (pow.f64 x 6)))) |
(+.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))) (+.f64 (*.f64 17/2880 (pow.f64 x 6)) (*.f64 31/40320 (pow.f64 x 8)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 31/40320 (pow.f64 x 8))) (*.f64 17/2880 (pow.f64 x 6)))) |
(pow.f64 x 2) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2)) |
(+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) -1/3)) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))) |
(+.f64 (*.f64 (pow.f64 x 4) -1/3) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 2/45))) |
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 6) 2/45) (*.f64 (pow.f64 x 4) -1/3))) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
(+.f64 (*.f64 (pow.f64 x 4) -1/3) (+.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 6) 2/45)) (*.f64 (pow.f64 x 8) -1/315))) |
(+.f64 (*.f64 (pow.f64 x 4) -1/3) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 8) -1/315) (*.f64 (pow.f64 x 6) 2/45)))) |
(+.f64 (*.f64 (pow.f64 x 4) -1/3) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 6) 2/45) (*.f64 (pow.f64 x 8) -1/315)))) |
(*.f64 1/4 (pow.f64 x 4)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 6)) (*.f64 1/4 (pow.f64 x 4))) |
(+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 (pow.f64 x 6) -1/24)) |
(+.f64 (*.f64 -1/24 (pow.f64 x 6)) (+.f64 (*.f64 1/320 (pow.f64 x 8)) (*.f64 1/4 (pow.f64 x 4)))) |
(+.f64 (*.f64 (pow.f64 x 6) -1/24) (+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 (pow.f64 x 8) 1/320))) |
(+.f64 (*.f64 1/4 (pow.f64 x 4)) (+.f64 (*.f64 (pow.f64 x 8) 1/320) (*.f64 (pow.f64 x 6) -1/24))) |
(+.f64 (*.f64 1/4 (pow.f64 x 4)) (+.f64 (*.f64 (pow.f64 x 6) -1/24) (*.f64 (pow.f64 x 8) 1/320))) |
(+.f64 (*.f64 -1/24 (pow.f64 x 6)) (+.f64 (*.f64 1/320 (pow.f64 x 8)) (+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 -17/120960 (pow.f64 x 10))))) |
(+.f64 (*.f64 (pow.f64 x 6) -1/24) (+.f64 (*.f64 1/4 (pow.f64 x 4)) (+.f64 (*.f64 -17/120960 (pow.f64 x 10)) (*.f64 (pow.f64 x 8) 1/320)))) |
(+.f64 (*.f64 1/4 (pow.f64 x 4)) (+.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/320) (*.f64 -17/120960 (pow.f64 x 10))) (*.f64 (pow.f64 x 6) -1/24))) |
(+.f64 (*.f64 1/4 (pow.f64 x 4)) (+.f64 (*.f64 (pow.f64 x 6) -1/24) (+.f64 (*.f64 (pow.f64 x 8) 1/320) (*.f64 -17/120960 (pow.f64 x 10))))) |
(+.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) 0) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) |
(+.f64 0 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) |
(+.f64 -1 (-.f64 1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (pow.f64 (sin.f64 x) 2))))) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) |
(+.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 2 (pow.f64 (sin.f64 x) 2))) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 2 (pow.f64 (sin.f64 x) 2)))) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) |
(-.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) 0) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) |
(-.f64 0 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (pow.f64 (sin.f64 x) 2)))) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) |
(*.f64 1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) |
(*.f64 2 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 2 (pow.f64 (sin.f64 x) 2)))) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) |
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (pow.f64 (sin.f64 x) 2))) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) |
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 1/2 (*.f64 2 (/.f64 1 (pow.f64 (sin.f64 x) 2))))) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) |
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 1/2 (/.f64 2 (pow.f64 (sin.f64 x) 2)))) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (/.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(/.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(/.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) 1) |
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(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1) |
(pow.f64 (sin.f64 x) 2) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 8) 1/8) |
(pow.f64 (sin.f64 x) 2) |
(*.f64 1/2 (*.f64 2 (pow.f64 (sin.f64 x) 2))) |
(pow.f64 (sin.f64 x) 2) |
(*.f64 1/4 (*.f64 (pow.f64 (sin.f64 x) 2) 4)) |
(pow.f64 (sin.f64 x) 2) |
(*.f64 1/4 (pow.f64 (*.f64 2 (sin.f64 x)) 2)) |
(pow.f64 (sin.f64 x) 2) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2) 2) |
(pow.f64 (sin.f64 x) 2) |
(*.f64 1/8 (*.f64 (pow.f64 (sin.f64 x) 2) 8)) |
(pow.f64 (sin.f64 x) 2) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 4) 4) |
(pow.f64 (sin.f64 x) 2) |
(*.f64 (pow.f64 (*.f64 (sin.f64 x) 1/2) 2) 4) |
(pow.f64 (sin.f64 x) 2) |
(*.f64 (pow.f64 (*.f64 2 (sin.f64 x)) 2) 1/4) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 1 (/.f64 1 (pow.f64 (sin.f64 x) 2))) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 2 (*.f64 2 (/.f64 1 (pow.f64 (sin.f64 x) 2)))) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 2 (/.f64 2 (pow.f64 (sin.f64 x) 2))) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (pow.f64 (sin.f64 x) 2) 1) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 2) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 -1 (/.f64 -1 (pow.f64 (sin.f64 x) 2))) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 4) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 8) 8) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2) -2) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 1/2 (/.f64 1/2 (pow.f64 (sin.f64 x) 2))) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (neg.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2))) -2) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8)) 16) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2)) 2) |
(pow.f64 (sin.f64 x) 2) |
(neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 2))) |
(pow.f64 (sin.f64 x) 2) |
(+.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 0) |
(pow.f64 (-.f64 1 (cos.f64 x)) 2) |
(+.f64 0 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(pow.f64 (-.f64 1 (cos.f64 x)) 2) |
(+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(pow.f64 (-.f64 1 (cos.f64 x)) 2) |
(+.f64 (-.f64 1 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) -1) |
(pow.f64 (-.f64 1 (cos.f64 x)) 2) |
(-.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 0) |
(pow.f64 (-.f64 1 (cos.f64 x)) 2) |
(-.f64 0 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(pow.f64 (-.f64 1 (cos.f64 x)) 2) |
(*.f64 1 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) |
(pow.f64 (-.f64 1 (cos.f64 x)) 2) |
(*.f64 2 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2)) |
(pow.f64 (-.f64 1 (cos.f64 x)) 2) |
(*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1) |
(pow.f64 (-.f64 1 (cos.f64 x)) 2) |
(*.f64 (*.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1/2) |
(pow.f64 (-.f64 1 (cos.f64 x)) 2) |
(*.f64 -1 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(pow.f64 (-.f64 1 (cos.f64 x)) 2) |
(*.f64 4 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4)) |
(pow.f64 (-.f64 1 (cos.f64 x)) 2) |
(*.f64 4 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) 2)) |
(pow.f64 (-.f64 1 (cos.f64 x)) 2) |
(*.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4) 1/4) |
(pow.f64 (-.f64 1 (cos.f64 x)) 2) |
(*.f64 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) -1) |
(pow.f64 (-.f64 1 (cos.f64 x)) 2) |
(*.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 8) 1/8) |
(pow.f64 (-.f64 1 (cos.f64 x)) 2) |
(*.f64 1/2 (*.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(pow.f64 (-.f64 1 (cos.f64 x)) 2) |
(*.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) -2) -1/2) |
(pow.f64 (-.f64 1 (cos.f64 x)) 2) |
(*.f64 1/4 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4)) |
(pow.f64 (-.f64 1 (cos.f64 x)) 2) |
(*.f64 1/4 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 2)) |
(pow.f64 (-.f64 1 (cos.f64 x)) 2) |
(*.f64 -1/2 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) -2)) |
(pow.f64 (-.f64 1 (cos.f64 x)) 2) |
(*.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2) 2) |
(pow.f64 (-.f64 1 (cos.f64 x)) 2) |
(*.f64 1/8 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 8)) |
(pow.f64 (-.f64 1 (cos.f64 x)) 2) |
(*.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4) 4) |
(pow.f64 (-.f64 1 (cos.f64 x)) 2) |
(*.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1/2) 2) 4) |
(pow.f64 (-.f64 1 (cos.f64 x)) 2) |
(*.f64 (pow.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) 2) 1/4) |
(pow.f64 (-.f64 1 (cos.f64 x)) 2) |
(/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1) |
(pow.f64 (-.f64 1 (cos.f64 x)) 2) |
(/.f64 (*.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 2) |
(pow.f64 (-.f64 1 (cos.f64 x)) 2) |
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 4) 4) |
(pow.f64 (-.f64 1 (cos.f64 x)) 2) |
(/.f64 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) -1) |
(pow.f64 (-.f64 1 (cos.f64 x)) 2) |
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 8) 8) |
(pow.f64 (-.f64 1 (cos.f64 x)) 2) |
(/.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) -2) -2) |
(pow.f64 (-.f64 1 (cos.f64 x)) 2) |
(/.f64 (*.f64 2 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 8)) 16) |
(pow.f64 (-.f64 1 (cos.f64 x)) 2) |
(/.f64 (*.f64 4 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) -4) |
(pow.f64 (-.f64 1 (cos.f64 x)) 2) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) -2)) 2) |
(pow.f64 (-.f64 1 (cos.f64 x)) 2) |
(/.f64 (neg.f64 (*.f64 4 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) 4) |
(pow.f64 (-.f64 1 (cos.f64 x)) 2) |
(neg.f64 (neg.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) |
(pow.f64 (-.f64 1 (cos.f64 x)) 2) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)) |
| 0.2b | (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) | |
| ✓ | 0.2b | (/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x))) |
| 2.2b | (-.f64 1 (cos.f64 x)) |
Compiled 92 to 45 computations (51.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x))) |
| 0.0ms | x | @ | -inf | (/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x))) |
| 0.0ms | x | @ | inf | (/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x))) |
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)) |
| 0.0ms | x | @ | -inf | (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)) |
| 1× | batch-egg-rewrite |
| 2124× | rational.json-1 |
| 2124× | rational.json-2 |
| 2124× | rational.json-3 |
| 1278× | rational.json-simplify-35 |
| 706× | exponential.json-3 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 110 |
| 1 | 125 | 104 |
| 2 | 443 | 52 |
| 3 | 1944 | 52 |
| 4 | 5996 | 52 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 0 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 2)))))) (#(struct:change 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(-.f64 1 (cos.f64 x)) 2) (/.f64 (sin.f64 x) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2)))) (/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (-.f64 1 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))) (-.f64 1 (cos.f64 x)))))))) |
| 1× | egg-herbie |
| 1428× | rational.json-simplify-49 |
| 1378× | rational.json-simplify-61 |
| 1196× | rational.json-simplify-50 |
| 1066× | rational.json-simplify-46 |
| 964× | rational.json-simplify-2 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 698 | 23965 |
| 1 | 2379 | 22781 |
| 2 | 6847 | 22703 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
1/2 |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) 1/2) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (*.f64 1/48 (pow.f64 x 4)))) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (+.f64 (*.f64 17/5760 (pow.f64 x 6)) (*.f64 1/48 (pow.f64 x 4))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 0 (-.f64 1 (cos.f64 x)))) |
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
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(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (+.f64 (cos.f64 x) -1) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x))))) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4))) (/.f64 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 4))) (*.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 2 (*.f64 2 (+.f64 (cos.f64 x) -1)))) (/.f64 (*.f64 2 (*.f64 2 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))))) (*.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 2 (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 2) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (*.f64 (sin.f64 x) 4) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) (/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 2))) (/.f64 (/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4)) (*.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4))) (/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2))) (/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (sin.f64 x) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2)))) (/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (-.f64 1 (cos.f64 x)) 2))) |
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 1) |
(neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))) |
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))) (-.f64 1 (cos.f64 x)))) |
| Outputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3))))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 17/40320 (pow.f64 x 7))))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))) |
(+.f64 (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
1/2 |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) 1/2) |
(+.f64 1/2 (*.f64 1/8 (pow.f64 x 2))) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (*.f64 1/48 (pow.f64 x 4)))) |
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 2)))) |
(+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/48 (pow.f64 x 4)))) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (+.f64 (*.f64 17/5760 (pow.f64 x 6)) (*.f64 1/48 (pow.f64 x 4))))) |
(+.f64 1/2 (+.f64 (+.f64 (*.f64 1/48 (pow.f64 x 4)) (*.f64 17/5760 (pow.f64 x 6))) (*.f64 1/8 (pow.f64 x 2)))) |
(+.f64 (+.f64 (*.f64 1/48 (pow.f64 x 4)) (*.f64 17/5760 (pow.f64 x 6))) (+.f64 1/2 (*.f64 1/8 (pow.f64 x 2)))) |
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 x 4)) (+.f64 (*.f64 17/5760 (pow.f64 x 6)) (*.f64 1/8 (pow.f64 x 2))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 0 (-.f64 1 (cos.f64 x)))) |
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(+.f64 (/.f64 0 (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 0 (-.f64 1 (cos.f64 x)))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (+.f64 (/.f64 0 (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 2) (/.f64 1 (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2))) (/.f64 1 (sin.f64 x)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 1 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (-.f64 1 (cos.f64 x)))))) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 -1 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (/.f64 1 (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) 1/2)) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (*.f64 2 (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (*.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (/.f64 (sin.f64 x) (/.f64 -1 (+.f64 (cos.f64 x) -1))) (/.f64 -1 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))) |
(*.f64 2 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 2 (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))) (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1 (*.f64 (sin.f64 x) 2))) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 2 (/.f64 1/2 (sin.f64 x)))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 2 (/.f64 (+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 0 (-.f64 1 (cos.f64 x)))) 2)) |
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 1 (*.f64 2 (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))))) |
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(*.f64 2 (*.f64 (/.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (sin.f64 x))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) 1/2) |
(*.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (/.f64 (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 (sin.f64 x)) (sin.f64 x))) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (/.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) (/.f64 2 (sin.f64 x))))) |
(*.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 2 (sin.f64 x)) (sin.f64 x))) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 0 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) -1))) (/.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 (cos.f64 x) -1))) (/.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
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(*.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 2)))) (/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 2 (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 (sin.f64 x) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2)))) (/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (-.f64 1 (cos.f64 x)) 2))) |
(*.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (neg.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2))))) (/.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (-.f64 1 (cos.f64 x)) 2)))) |
(*.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) -2)))) (/.f64 (/.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (+.f64 (cos.f64 x) -1)) 2) (*.f64 (-.f64 1 (cos.f64 x)) 2))) |
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) |
(neg.f64 (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) |
(neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x)))) (-.f64 1 (cos.f64 x)))) |
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (-.f64 1 (cos.f64 x)))))) |
Compiled 43706 to 26614 computations (39.1% saved)
42 alts after pruning (34 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1457 | 12 | 1469 |
| Fresh | 7 | 22 | 29 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 7 | 8 |
| Total | 1465 | 42 | 1507 |
| Status | Error | Program |
|---|---|---|
| 33.7b | (/.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (sin.f64 x)) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) | |
| ✓ | 33.7b | (/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x))) |
| 33.7b | (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) | |
| 32.0b | (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) | |
| 33.7b | (/.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 -1 (+.f64 (cos.f64 x) -1)))) | |
| ▶ | 31.9b | (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (/.f64 1/2 (sin.f64 x)))) |
| ✓ | 31.9b | (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
| 32.1b | (/.f64 (-.f64 -1 (+.f64 (cos.f64 x) -2)) (sin.f64 x)) | |
| 31.9b | (/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) | |
| 33.7b | (/.f64 -1 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) | |
| 31.9b | (/.f64 -1 (*.f64 (sin.f64 x) (/.f64 -1 (-.f64 1 (cos.f64 x))))) | |
| 32.0b | (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) | |
| 31.9b | (-.f64 1 (+.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) | |
| 32.0b | (-.f64 -2 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2)) | |
| ▶ | 30.6b | (+.f64 (*.f64 x 1/2) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) |
| ✓ | 30.4b | (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) |
| 33.7b | (+.f64 -1 (-.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) (+.f64 (cos.f64 x) -1)))) | |
| ✓ | 32.0b | (+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
| 61.0b | (+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 -1/2 x)))) -1)) | |
| ▶ | 60.3b | (+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (*.f64 -1/2 x))) -1)) |
| ✓ | 61.3b | (+.f64 -1 1) |
| 33.1b | (*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) | |
| 31.9b | (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (/.f64 1 (sin.f64 x)))) (/.f64 1 (sin.f64 x))) | |
| ✓ | 33.7b | (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))) |
| ▶ | 34.0b | (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2)))))) |
| 33.7b | (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))) | |
| 33.9b | (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (/.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))) | |
| 33.7b | (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))))) | |
| 33.7b | (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))) | |
| 34.0b | (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (+.f64 -1 (-.f64 1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (pow.f64 (sin.f64 x) 2)))))) | |
| 33.8b | (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) | |
| 33.8b | (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1/2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) | |
| 33.7b | (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) | |
| 31.9b | (*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x))) | |
| 33.1b | (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))))) | |
| ▶ | 31.9b | (*.f64 (*.f64 (sin.f64 x) 2) (/.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
| 33.0b | (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))) | |
| 33.8b | (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (-.f64 1 (cos.f64 x)))))) | |
| 33.1b | (*.f64 (sin.f64 x) (*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x)))) | |
| 31.9b | (*.f64 (sin.f64 x) (neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)))) | |
| ✓ | 24.5b | (*.f64 (sin.f64 x) 1/2) |
| ✓ | 29.8b | (*.f64 1/2 x) |
Compiled 1727 to 1143 computations (33.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))) |
| ✓ | 0.0b | (+.f64 (*.f64 x 1/2) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) |
| ✓ | 0.1b | (*.f64 1/240 (pow.f64 x 5)) |
| 0.1b | (*.f64 1/24 (pow.f64 x 3)) |
Compiled 52 to 41 computations (21.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 1/240 (pow.f64 x 5)) |
| 0.0ms | x | @ | inf | (*.f64 1/240 (pow.f64 x 5)) |
| 0.0ms | x | @ | -inf | (*.f64 1/240 (pow.f64 x 5)) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 x 1/2) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))) |
| 1× | batch-egg-rewrite |
| 1762× | rational.json-simplify-35 |
| 1622× | rational.json-1 |
| 1622× | rational.json-2 |
| 1622× | rational.json-4 |
| 1622× | rational.json-3 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 87 |
| 1 | 99 | 87 |
| 2 | 185 | 87 |
| 3 | 364 | 87 |
| 4 | 746 | 87 |
| 5 | 1949 | 87 |
| 6 | 4202 | 87 |
| 7 | 5863 | 87 |
| 8 | 7312 | 87 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/240 (pow.f64 x 5)) |
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/240 (pow.f64 x 5)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/240 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 5) 1/480) (*.f64 (pow.f64 x 5) 1/480))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/240 (pow.f64 x 5)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/240 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 5) 1/120) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 5) 1/60) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/240 (pow.f64 x 5)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 1/240 (pow.f64 x 5)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/240 (pow.f64 x 5)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/240 (pow.f64 x 5)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/240 (pow.f64 x 5)) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/240 (pow.f64 x 5)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/240 (pow.f64 x 5)) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 x (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (+.f64 x (*.f64 (pow.f64 x 5) 1/120)) (*.f64 (pow.f64 x 3) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (pow.f64 x 3) 1/12) (+.f64 x (*.f64 (pow.f64 x 5) 1/120))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (pow.f64 x 5) 1/120) (+.f64 x (*.f64 (pow.f64 x 3) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 x 1/4) (+.f64 (*.f64 (pow.f64 x 5) 1/480) (*.f64 (pow.f64 x 3) 1/48))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x 1/4) (+.f64 (*.f64 (pow.f64 x 5) 1/480) (*.f64 (pow.f64 x 3) 1/48))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (+.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 4) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (pow.f64 x 3) 1/12) (*.f64 (pow.f64 x 5) 1/120)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (pow.f64 x 5) 1/120) (*.f64 (pow.f64 x 3) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (pow.f64 x 5) 1/480) (*.f64 (pow.f64 x 3) 1/48)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 5) 1/480) (*.f64 (pow.f64 x 3) 1/48)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 1))))) |
| 1× | egg-herbie |
| 3102× | rational.json-simplify-51 |
| 2938× | rational.json-simplify-35 |
| 1832× | rational.json-simplify-1 |
| 1050× | rational.json-simplify-2 |
| 986× | rational.json-simplify-41 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 131 | 2603 |
| 1 | 266 | 2603 |
| 2 | 619 | 2603 |
| 3 | 2104 | 2603 |
| 4 | 3744 | 2603 |
| 5 | 4012 | 2603 |
| 6 | 4120 | 2603 |
| 7 | 4203 | 2603 |
| 8 | 4283 | 2603 |
| 9 | 4363 | 2603 |
| 10 | 4942 | 2603 |
| 11 | 5028 | 2603 |
| 12 | 5114 | 2603 |
| 13 | 5192 | 2603 |
| 14 | 5270 | 2603 |
| 15 | 5270 | 2603 |
| 16 | 7608 | 2603 |
| 17 | 7700 | 2603 |
| 18 | 7773 | 2603 |
| 19 | 7846 | 2603 |
| 20 | 7917 | 2603 |
| 21 | 7987 | 2603 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))) |
(*.f64 1/240 (pow.f64 x 5)) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))) |
(*.f64 1/240 (pow.f64 x 5)) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))) |
(*.f64 1/24 (pow.f64 x 3)) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) |
(*.f64 1/240 (pow.f64 x 5)) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) |
(*.f64 1/240 (pow.f64 x 5)) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) 0) |
(+.f64 0 (*.f64 1/240 (pow.f64 x 5))) |
(+.f64 (*.f64 (pow.f64 x 5) 1/480) (*.f64 (pow.f64 x 5) 1/480)) |
(-.f64 (*.f64 1/240 (pow.f64 x 5)) 0) |
(/.f64 (*.f64 1/240 (pow.f64 x 5)) 1) |
(/.f64 (*.f64 (pow.f64 x 5) 1/120) 2) |
(/.f64 (*.f64 (pow.f64 x 5) 1/60) 4) |
(/.f64 (*.f64 (*.f64 1/240 (pow.f64 x 5)) 8) 8) |
(/.f64 (*.f64 2 (*.f64 (*.f64 1/240 (pow.f64 x 5)) 8)) 16) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/240 (pow.f64 x 5)) 8))) 32) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/240 (pow.f64 x 5)) 8)))) 64) |
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/240 (pow.f64 x 5)) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/240 (pow.f64 x 5)) 8))))) 128) |
(pow.f64 (*.f64 1/240 (pow.f64 x 5)) 1) |
(-.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 0) |
(*.f64 1/2 (+.f64 x (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 2))) |
(*.f64 1/2 (+.f64 (+.f64 x (*.f64 (pow.f64 x 5) 1/120)) (*.f64 (pow.f64 x 3) 1/12))) |
(*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 3) 1/12) (+.f64 x (*.f64 (pow.f64 x 5) 1/120)))) |
(*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 5) 1/120) (+.f64 x (*.f64 (pow.f64 x 3) 1/12)))) |
(*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 1) |
(*.f64 1 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3))))) |
(*.f64 2 (+.f64 (*.f64 x 1/4) (+.f64 (*.f64 (pow.f64 x 5) 1/480) (*.f64 (pow.f64 x 3) 1/48)))) |
(*.f64 (+.f64 x (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 2)) 1/2) |
(*.f64 4 (/.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 4)) |
(*.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 4) 1/4) |
(*.f64 (+.f64 (*.f64 x 1/4) (+.f64 (*.f64 (pow.f64 x 5) 1/480) (*.f64 (pow.f64 x 3) 1/48))) 2) |
(*.f64 1/4 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 4)) |
(*.f64 1/4 (+.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 4) (+.f64 x x))) |
(*.f64 (/.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 4) 4) |
(/.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 1) |
(/.f64 (+.f64 x (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 2)) 2) |
(/.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 4) 4) |
(/.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 8) 8) |
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 8)) 16) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 8))) 32) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 8)))) 64) |
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 8))))) 128) |
(pow.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 1) |
(-.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 0) |
(*.f64 1/2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 2)) |
(*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 3) 1/12) (*.f64 (pow.f64 x 5) 1/120))) |
(*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 5) 1/120) (*.f64 (pow.f64 x 3) 1/12))) |
(*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 1) |
(*.f64 1 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))) |
(*.f64 2 (+.f64 (*.f64 (pow.f64 x 5) 1/480) (*.f64 (pow.f64 x 3) 1/48))) |
(*.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 2) 1/2) |
(*.f64 4 (/.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 4)) |
(*.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 4) 1/4) |
(*.f64 1/4 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 4)) |
(*.f64 (+.f64 (*.f64 (pow.f64 x 5) 1/480) (*.f64 (pow.f64 x 3) 1/48)) 2) |
(*.f64 (/.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 4) 4) |
(/.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 1) |
(/.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 2) 2) |
(/.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 4) 4) |
(/.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 8) 8) |
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 8)) 16) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 8))) 32) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 8)))) 64) |
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 8))))) 128) |
(pow.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 1) |
| Outputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))) |
(*.f64 1/240 (pow.f64 x 5)) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))) |
(*.f64 1/240 (pow.f64 x 5)) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))) |
(*.f64 1/24 (pow.f64 x 3)) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))) |
(*.f64 1/240 (pow.f64 x 5)) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))) |
(*.f64 1/240 (pow.f64 x 5)) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) 0) |
(*.f64 1/240 (pow.f64 x 5)) |
(+.f64 0 (*.f64 1/240 (pow.f64 x 5))) |
(*.f64 1/240 (pow.f64 x 5)) |
(+.f64 (*.f64 (pow.f64 x 5) 1/480) (*.f64 (pow.f64 x 5) 1/480)) |
(*.f64 1/240 (pow.f64 x 5)) |
(-.f64 (*.f64 1/240 (pow.f64 x 5)) 0) |
(*.f64 1/240 (pow.f64 x 5)) |
(/.f64 (*.f64 1/240 (pow.f64 x 5)) 1) |
(*.f64 1/240 (pow.f64 x 5)) |
(/.f64 (*.f64 (pow.f64 x 5) 1/120) 2) |
(*.f64 1/240 (pow.f64 x 5)) |
(/.f64 (*.f64 (pow.f64 x 5) 1/60) 4) |
(*.f64 1/240 (pow.f64 x 5)) |
(/.f64 (*.f64 (*.f64 1/240 (pow.f64 x 5)) 8) 8) |
(*.f64 1/240 (pow.f64 x 5)) |
(/.f64 (*.f64 2 (*.f64 (*.f64 1/240 (pow.f64 x 5)) 8)) 16) |
(*.f64 1/240 (pow.f64 x 5)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/240 (pow.f64 x 5)) 8))) 32) |
(*.f64 1/240 (pow.f64 x 5)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/240 (pow.f64 x 5)) 8)))) 64) |
(*.f64 1/240 (pow.f64 x 5)) |
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/240 (pow.f64 x 5)) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/240 (pow.f64 x 5)) 8))))) 128) |
(*.f64 1/240 (pow.f64 x 5)) |
(pow.f64 (*.f64 1/240 (pow.f64 x 5)) 1) |
(*.f64 1/240 (pow.f64 x 5)) |
(-.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 0) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))) |
(*.f64 1/2 (+.f64 x (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 2))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))) |
(*.f64 1/2 (+.f64 (+.f64 x (*.f64 (pow.f64 x 5) 1/120)) (*.f64 (pow.f64 x 3) 1/12))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))) |
(*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 3) 1/12) (+.f64 x (*.f64 (pow.f64 x 5) 1/120)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))) |
(*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 5) 1/120) (+.f64 x (*.f64 (pow.f64 x 3) 1/12)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))) |
(*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 1) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))) |
(*.f64 1 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3))))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))) |
(*.f64 2 (+.f64 (*.f64 x 1/4) (+.f64 (*.f64 (pow.f64 x 5) 1/480) (*.f64 (pow.f64 x 3) 1/48)))) |
(*.f64 2 (+.f64 (*.f64 (pow.f64 x 5) 1/480) (+.f64 (*.f64 (pow.f64 x 3) 1/48) (*.f64 x 1/4)))) |
(*.f64 2 (+.f64 (*.f64 (pow.f64 x 5) 1/480) (+.f64 (*.f64 x 1/4) (*.f64 (pow.f64 x 3) 1/48)))) |
(*.f64 (+.f64 x (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 2)) 1/2) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))) |
(*.f64 4 (/.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 4)) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))) |
(*.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 4) 1/4) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))) |
(*.f64 (+.f64 (*.f64 x 1/4) (+.f64 (*.f64 (pow.f64 x 5) 1/480) (*.f64 (pow.f64 x 3) 1/48))) 2) |
(*.f64 2 (+.f64 (*.f64 (pow.f64 x 5) 1/480) (+.f64 (*.f64 (pow.f64 x 3) 1/48) (*.f64 x 1/4)))) |
(*.f64 2 (+.f64 (*.f64 (pow.f64 x 5) 1/480) (+.f64 (*.f64 x 1/4) (*.f64 (pow.f64 x 3) 1/48)))) |
(*.f64 1/4 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 4)) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))) |
(*.f64 1/4 (+.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 4) (+.f64 x x))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))) |
(*.f64 (/.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 4) 4) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))) |
(/.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 1) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))) |
(/.f64 (+.f64 x (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 2)) 2) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))) |
(/.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 4) 4) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))) |
(/.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 8) 8) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))) |
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 8)) 16) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 8))) 32) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 8)))) 64) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))) |
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 8))))) 128) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))) |
(pow.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 x 1/2) (*.f64 1/24 (pow.f64 x 3)))) 1) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 0) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))) |
(*.f64 1/2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 2)) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))) |
(*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 3) 1/12) (*.f64 (pow.f64 x 5) 1/120))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))) |
(*.f64 1/2 (+.f64 (*.f64 (pow.f64 x 5) 1/120) (*.f64 (pow.f64 x 3) 1/12))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))) |
(*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 1) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))) |
(*.f64 1 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))) |
(*.f64 2 (+.f64 (*.f64 (pow.f64 x 5) 1/480) (*.f64 (pow.f64 x 3) 1/48))) |
(*.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 2) 1/2) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))) |
(*.f64 4 (/.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 4)) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))) |
(*.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 4) 1/4) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))) |
(*.f64 1/4 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 4)) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))) |
(*.f64 (+.f64 (*.f64 (pow.f64 x 5) 1/480) (*.f64 (pow.f64 x 3) 1/48)) 2) |
(*.f64 2 (+.f64 (*.f64 (pow.f64 x 5) 1/480) (*.f64 (pow.f64 x 3) 1/48))) |
(*.f64 (/.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 4) 4) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))) |
(/.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 1) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))) |
(/.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 2) 2) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))) |
(/.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 4) 4) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))) |
(/.f64 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 8) 8) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))) |
(/.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 8)) 16) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 8))) 32) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 8)))) 64) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))) |
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 8))))) 128) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))) |
(pow.f64 (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))) 1) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 1 (+.f64 -1 (*.f64 -1/2 x))) |
| ✓ | 0.0b | (+.f64 (-.f64 1 (+.f64 -1 (*.f64 -1/2 x))) -1) |
| ✓ | 3.3b | (+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (*.f64 -1/2 x))) -1)) |
Compiled 40 to 34 computations (15% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (*.f64 -1/2 x))) -1)) |
| 0.0ms | x | @ | inf | (+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (*.f64 -1/2 x))) -1)) |
| 0.0ms | x | @ | -inf | (+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (*.f64 -1/2 x))) -1)) |
| 0.0ms | x | @ | inf | (+.f64 (-.f64 1 (+.f64 -1 (*.f64 -1/2 x))) -1) |
| 0.0ms | x | @ | 0 | (+.f64 (-.f64 1 (+.f64 -1 (*.f64 -1/2 x))) -1) |
| 1× | batch-egg-rewrite |
| 1490× | rational.json-simplify-35 |
| 1240× | exponential.json-3 |
| 1240× | rational.json-1 |
| 1240× | rational.json-2 |
| 1240× | rational.json-4 |
Useful iterations: 8 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 69 |
| 1 | 87 | 63 |
| 2 | 180 | 49 |
| 3 | 333 | 43 |
| 4 | 650 | 41 |
| 5 | 1567 | 41 |
| 6 | 3243 | 41 |
| 7 | 4781 | 37 |
| 8 | 6392 | 33 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (*.f64 -1/2 x))) -1)) |
(+.f64 (-.f64 1 (+.f64 -1 (*.f64 -1/2 x))) -1) |
(-.f64 1 (+.f64 -1 (*.f64 -1/2 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 -1 (*.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 (+.f64 (+.f64 (*.f64 -1/2 x) -3) -1) -3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (*.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -2 (+.f64 (*.f64 -1/2 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 -1 (*.f64 -1/2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -3 (+.f64 (*.f64 -1/2 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x 4) (*.f64 x -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x 4) (-.f64 (+.f64 (*.f64 x -1/4) -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x 4) (-.f64 (+.f64 1 (*.f64 x -1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (-.f64 x -2) 4) -1) (/.f64 (-.f64 -2 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 x) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 8) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 x 8)) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 x 8))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 x 8)))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1/2 x)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 (*.f64 -1/2 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (*.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 x 1/2) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 -1 (*.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (/.f64 (+.f64 (*.f64 -1/2 x) -2) 2) (+.f64 (*.f64 (-.f64 (*.f64 x 1/2) -2) 1/2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -2 (+.f64 (*.f64 -1/2 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x 4) (+.f64 (*.f64 x -1/4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 x -2) 4) (/.f64 (-.f64 -2 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (-.f64 (*.f64 x 1/2) -2) 1/2) -1) (/.f64 (+.f64 (*.f64 -1/2 x) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 -1 (*.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (*.f64 -1/2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (-.f64 -2 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (-.f64 x -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 -2 x) -8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 x -2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (-.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -2 x) 4) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x -2) 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -2 x) -8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (*.f64 -1/2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -2 x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 -2 x)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 x -2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -2 x) 4) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (-.f64 x -2)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 -2 x) 4)) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (-.f64 x -2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (-.f64 -2 x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 -2 x) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 -2 x) 4))) -32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 4 (-.f64 x -2)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 2 (-.f64 -2 x)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 (-.f64 -2 x) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 (-.f64 -2 x) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 -2 x) 4)))) -64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (-.f64 x -2))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (-.f64 -2 x))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 (-.f64 -2 x) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (-.f64 -2 x) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (-.f64 x -2)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (-.f64 -2 x)))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 (-.f64 -2 x) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (-.f64 -2 x) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 -1 (*.f64 -1/2 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (neg.f64 (+.f64 (*.f64 -1/2 x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x 1/2) -2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 x 1/2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 1 (+.f64 (*.f64 -1/2 x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (*.f64 -1/2 x) -3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (*.f64 x 1/2) -2) 1/2) (*.f64 (-.f64 (*.f64 x 1/2) -2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 x) -2) 2)) (-.f64 1 (/.f64 (+.f64 (*.f64 -1/2 x) -2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (*.f64 -1/2 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 x 1/2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x 1/2) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 (*.f64 x 1/2) -2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 (*.f64 x 1/2) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 -2 (-.f64 -2 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -1/2 x) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 x 1/2) -2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (neg.f64 (+.f64 -2 (-.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 (*.f64 x 1/2) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 x 1/2) -2) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 -1/2 x) -2) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 x 1/2) -2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x 1/2) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -2 (-.f64 -2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1/2 x) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x 1/2) -2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -2 (-.f64 -2 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x 1/2) -2) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 -2 (-.f64 -2 x))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 x 1/2) -2) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 x 1/2) -2) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (+.f64 -2 (-.f64 -2 x)))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (+.f64 -2 (-.f64 -2 x)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (+.f64 -2 (-.f64 -2 x))))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 x 1/2) -2) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 2 (+.f64 -2 (-.f64 -2 x))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 x 1/2) -2) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (+.f64 -2 (-.f64 -2 x)))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 x 1/2) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (*.f64 -1/2 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 0 (-.f64 (*.f64 x 1/2) -2))))))) |
| 1× | egg-herbie |
| 1924× | rational.json-simplify-35 |
| 1330× | rational.json-simplify-2 |
| 974× | rational.json-simplify-26 |
| 856× | rational.json-simplify-52 |
| 752× | rational.json-simplify-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 236 | 1906 |
| 1 | 550 | 1906 |
| 2 | 1153 | 1906 |
| 3 | 3000 | 1906 |
| 4 | 4471 | 1906 |
| 5 | 5875 | 1906 |
| 6 | 7434 | 1906 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
1 |
(+.f64 (*.f64 1/2 x) 1) |
(+.f64 (*.f64 1/2 x) 1) |
(+.f64 (*.f64 1/2 x) 1) |
(*.f64 1/2 x) |
(+.f64 1 (*.f64 1/2 x)) |
(+.f64 1 (*.f64 1/2 x)) |
(+.f64 1 (*.f64 1/2 x)) |
(*.f64 1/2 x) |
(+.f64 1 (*.f64 1/2 x)) |
(+.f64 1 (*.f64 1/2 x)) |
(+.f64 1 (*.f64 1/2 x)) |
2 |
(+.f64 (*.f64 1/2 x) 2) |
(+.f64 (*.f64 1/2 x) 2) |
(+.f64 (*.f64 1/2 x) 2) |
(*.f64 1/2 x) |
(+.f64 2 (*.f64 1/2 x)) |
(+.f64 2 (*.f64 1/2 x)) |
(+.f64 2 (*.f64 1/2 x)) |
(*.f64 1/2 x) |
(+.f64 2 (*.f64 1/2 x)) |
(+.f64 2 (*.f64 1/2 x)) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 -1 (+.f64 -1 (*.f64 -1/2 x))) |
(-.f64 -1 (-.f64 (+.f64 (+.f64 (*.f64 -1/2 x) -3) -1) -3)) |
(-.f64 1 (+.f64 1 (*.f64 -1/2 x))) |
(-.f64 (+.f64 1 (*.f64 x 1/2)) 1) |
(-.f64 (*.f64 x 1/2) 0) |
(-.f64 0 (*.f64 -1/2 x)) |
(-.f64 -2 (+.f64 (*.f64 -1/2 x) -2)) |
(-.f64 (-.f64 -1 (*.f64 -1/2 x)) -1) |
(-.f64 -3 (+.f64 (*.f64 -1/2 x) -3)) |
(-.f64 (/.f64 x 4) (*.f64 x -1/4)) |
(-.f64 (/.f64 x 4) (-.f64 (+.f64 (*.f64 x -1/4) -1) -1)) |
(-.f64 (/.f64 x 4) (-.f64 (+.f64 1 (*.f64 x -1/4)) 1)) |
(-.f64 (+.f64 (/.f64 (-.f64 x -2) 4) -1) (/.f64 (-.f64 -2 x) 4)) |
(*.f64 -1 (*.f64 -1/2 x)) |
(*.f64 1 (*.f64 x 1/2)) |
(*.f64 (*.f64 -1/2 x) -1) |
(*.f64 (*.f64 x 1/2) 1) |
(*.f64 2 (/.f64 x 4)) |
(*.f64 x 1/2) |
(*.f64 4 (/.f64 x 8)) |
(*.f64 (+.f64 x x) 1/4) |
(*.f64 1/2 x) |
(*.f64 1/4 (+.f64 x x)) |
(*.f64 (/.f64 x 4) 2) |
(*.f64 (/.f64 x 8) 4) |
(/.f64 (*.f64 -1/2 x) -1) |
(/.f64 (*.f64 x 1/2) 1) |
(/.f64 x 2) |
(/.f64 (+.f64 x x) 4) |
(/.f64 (neg.f64 x) -2) |
(/.f64 (*.f64 x 4) 8) |
(/.f64 (*.f64 -2 x) -4) |
(/.f64 (*.f64 x 8) 16) |
(/.f64 (*.f64 2 (*.f64 x 8)) 32) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 x 8))) 64) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 x 8)))) 128) |
(pow.f64 (*.f64 x 1/2) 1) |
(neg.f64 (*.f64 -1/2 x)) |
(-.f64 -1 (+.f64 (*.f64 -1/2 x) -2)) |
(-.f64 1 (*.f64 -1/2 x)) |
(-.f64 (-.f64 (*.f64 x 1/2) -2) 1) |
(-.f64 (+.f64 1 (*.f64 x 1/2)) 0) |
(-.f64 (*.f64 x 1/2) -1) |
(-.f64 0 (+.f64 -1 (*.f64 -1/2 x))) |
(-.f64 0 (-.f64 (/.f64 (+.f64 (*.f64 -1/2 x) -2) 2) (+.f64 (*.f64 (-.f64 (*.f64 x 1/2) -2) 1/2) -1))) |
(-.f64 -2 (+.f64 (*.f64 -1/2 x) -3)) |
(-.f64 (/.f64 x 4) (+.f64 (*.f64 x -1/4) -1)) |
(-.f64 (/.f64 (-.f64 x -2) 4) (/.f64 (-.f64 -2 x) 4)) |
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 x 1/2) -2) 1/2) -1) (/.f64 (+.f64 (*.f64 -1/2 x) -2) 2)) |
(*.f64 -1 (+.f64 -1 (*.f64 -1/2 x))) |
(*.f64 1 (+.f64 1 (*.f64 x 1/2))) |
(*.f64 (+.f64 -1 (*.f64 -1/2 x)) -1) |
(*.f64 (+.f64 1 (*.f64 x 1/2)) 1) |
(*.f64 -2 (/.f64 (-.f64 -2 x) 4)) |
(*.f64 2 (/.f64 (-.f64 x -2) 4)) |
(*.f64 4 (/.f64 (-.f64 -2 x) -8)) |
(*.f64 (-.f64 x -2) 1/2) |
(*.f64 (*.f64 2 (-.f64 x -2)) 1/4) |
(*.f64 1/2 (-.f64 x -2)) |
(*.f64 1/4 (*.f64 2 (-.f64 x -2))) |
(*.f64 (/.f64 (-.f64 -2 x) 4) -2) |
(*.f64 (/.f64 (-.f64 x -2) 4) 2) |
(*.f64 (/.f64 (-.f64 -2 x) -8) 4) |
(/.f64 (+.f64 -1 (*.f64 -1/2 x)) -1) |
(/.f64 (+.f64 1 (*.f64 x 1/2)) 1) |
(/.f64 (-.f64 -2 x) -2) |
(/.f64 (-.f64 x -2) 2) |
(/.f64 (*.f64 2 (-.f64 -2 x)) -4) |
(/.f64 (*.f64 2 (-.f64 x -2)) 4) |
(/.f64 (*.f64 (-.f64 -2 x) 4) -8) |
(/.f64 (*.f64 4 (-.f64 x -2)) 8) |
(/.f64 (*.f64 2 (*.f64 (-.f64 -2 x) 4)) -16) |
(/.f64 (*.f64 2 (*.f64 4 (-.f64 x -2))) 16) |
(/.f64 (neg.f64 (*.f64 2 (-.f64 -2 x))) 4) |
(/.f64 (neg.f64 (*.f64 (-.f64 -2 x) 4)) 8) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 -2 x) 4))) -32) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 4 (-.f64 x -2)))) 32) |
(/.f64 (*.f64 2 (neg.f64 (*.f64 2 (-.f64 -2 x)))) 8) |
(/.f64 (*.f64 2 (neg.f64 (*.f64 (-.f64 -2 x) 4))) 16) |
(/.f64 (neg.f64 (*.f64 2 (*.f64 (-.f64 -2 x) 4))) 16) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 -2 x) 4)))) -64) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (-.f64 x -2))))) 64) |
(/.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (-.f64 -2 x))))) 16) |
(/.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 (-.f64 -2 x) 4)))) 32) |
(/.f64 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (-.f64 -2 x) 4)))) 32) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (-.f64 x -2)))))) 128) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (-.f64 -2 x)))))) 32) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 (-.f64 -2 x) 4))))) 64) |
(/.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (-.f64 -2 x) 4))))) 64) |
(pow.f64 (+.f64 1 (*.f64 x 1/2)) 1) |
(neg.f64 (+.f64 -1 (*.f64 -1/2 x))) |
(+.f64 -1 (neg.f64 (+.f64 (*.f64 -1/2 x) -3))) |
(+.f64 (-.f64 (*.f64 x 1/2) -2) 0) |
(+.f64 0 (-.f64 (*.f64 x 1/2) -2)) |
(+.f64 -2 (-.f64 1 (+.f64 (*.f64 -1/2 x) -3))) |
(+.f64 (neg.f64 (+.f64 (*.f64 -1/2 x) -3)) -1) |
(+.f64 (*.f64 (-.f64 (*.f64 x 1/2) -2) 1/2) (*.f64 (-.f64 (*.f64 x 1/2) -2) 1/2)) |
(+.f64 (-.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 x) -2) 2)) (-.f64 1 (/.f64 (+.f64 (*.f64 -1/2 x) -2) 2))) |
(*.f64 -1 (+.f64 (*.f64 -1/2 x) -2)) |
(*.f64 1 (-.f64 (*.f64 x 1/2) -2)) |
(*.f64 (-.f64 (*.f64 x 1/2) -2) 1) |
(*.f64 2 (*.f64 (-.f64 (*.f64 x 1/2) -2) 1/2)) |
(*.f64 4 (/.f64 (-.f64 (*.f64 x 1/2) -2) 4)) |
(*.f64 (neg.f64 (+.f64 -2 (-.f64 -2 x))) 1/2) |
(*.f64 (+.f64 (*.f64 -1/2 x) -2) -1) |
(*.f64 (*.f64 (-.f64 (*.f64 x 1/2) -2) 4) 1/4) |
(*.f64 1/2 (neg.f64 (+.f64 -2 (-.f64 -2 x)))) |
(*.f64 1/4 (*.f64 (-.f64 (*.f64 x 1/2) -2) 4)) |
(*.f64 (*.f64 (-.f64 (*.f64 x 1/2) -2) 1/2) 2) |
(*.f64 (/.f64 (+.f64 (*.f64 -1/2 x) -2) 2) -2) |
(*.f64 (/.f64 (-.f64 (*.f64 x 1/2) -2) 4) 4) |
(/.f64 (-.f64 (*.f64 x 1/2) -2) 1) |
(/.f64 (neg.f64 (+.f64 -2 (-.f64 -2 x))) 2) |
(/.f64 (+.f64 (*.f64 -1/2 x) -2) -1) |
(/.f64 (*.f64 (-.f64 (*.f64 x 1/2) -2) 4) 4) |
(/.f64 (+.f64 -2 (-.f64 -2 x)) -2) |
(/.f64 (*.f64 (-.f64 (*.f64 x 1/2) -2) 8) 8) |
(/.f64 (*.f64 2 (+.f64 -2 (-.f64 -2 x))) -4) |
(/.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 x 1/2) -2) 8)) 16) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 x 1/2) -2) 8))) 32) |
(/.f64 (*.f64 2 (*.f64 2 (+.f64 -2 (-.f64 -2 x)))) -8) |
(/.f64 (neg.f64 (*.f64 2 (+.f64 -2 (-.f64 -2 x)))) 4) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (+.f64 -2 (-.f64 -2 x))))) -16) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 x 1/2) -2) 8)))) 64) |
(/.f64 (*.f64 2 (neg.f64 (*.f64 2 (+.f64 -2 (-.f64 -2 x))))) 8) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 x 1/2) -2) 8))))) 128) |
(/.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (+.f64 -2 (-.f64 -2 x)))))) 16) |
(pow.f64 (-.f64 (*.f64 x 1/2) -2) 1) |
(neg.f64 (+.f64 (*.f64 -1/2 x) -2)) |
(neg.f64 (-.f64 0 (-.f64 (*.f64 x 1/2) -2))) |
| Outputs |
|---|
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
1 |
(+.f64 (*.f64 1/2 x) 1) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(+.f64 (*.f64 1/2 x) 1) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(+.f64 (*.f64 1/2 x) 1) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(*.f64 1/2 x) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(*.f64 1/2 x) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
2 |
(+.f64 (*.f64 1/2 x) 2) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(+.f64 (*.f64 1/2 x) 2) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(+.f64 (*.f64 1/2 x) 2) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(*.f64 1/2 x) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(*.f64 1/2 x) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(-.f64 -1 (+.f64 -1 (*.f64 -1/2 x))) |
(*.f64 1/2 x) |
(-.f64 -1 (-.f64 (+.f64 (+.f64 (*.f64 -1/2 x) -3) -1) -3)) |
(*.f64 1/2 x) |
(-.f64 1 (+.f64 1 (*.f64 -1/2 x))) |
(*.f64 1/2 x) |
(-.f64 (+.f64 1 (*.f64 x 1/2)) 1) |
(*.f64 1/2 x) |
(-.f64 (*.f64 x 1/2) 0) |
(*.f64 1/2 x) |
(-.f64 0 (*.f64 -1/2 x)) |
(*.f64 1/2 x) |
(-.f64 -2 (+.f64 (*.f64 -1/2 x) -2)) |
(*.f64 1/2 x) |
(-.f64 (-.f64 -1 (*.f64 -1/2 x)) -1) |
(*.f64 1/2 x) |
(-.f64 -3 (+.f64 (*.f64 -1/2 x) -3)) |
(*.f64 1/2 x) |
(-.f64 (/.f64 x 4) (*.f64 x -1/4)) |
(-.f64 (*.f64 x 1/4) (*.f64 x -1/4)) |
(-.f64 (/.f64 x 4) (-.f64 (+.f64 (*.f64 x -1/4) -1) -1)) |
(-.f64 (/.f64 x 4) (*.f64 x -1/4)) |
(-.f64 (*.f64 x 1/4) (*.f64 x -1/4)) |
(-.f64 (/.f64 x 4) (-.f64 (+.f64 1 (*.f64 x -1/4)) 1)) |
(-.f64 (/.f64 x 4) (*.f64 x -1/4)) |
(-.f64 (*.f64 x 1/4) (*.f64 x -1/4)) |
(-.f64 (+.f64 (/.f64 (-.f64 x -2) 4) -1) (/.f64 (-.f64 -2 x) 4)) |
(+.f64 -1 (-.f64 (/.f64 (-.f64 x -2) 4) (/.f64 (-.f64 -2 x) 4))) |
(+.f64 -1 (-.f64 (*.f64 -1/4 (-.f64 -2 x)) (/.f64 (-.f64 -2 x) 4))) |
(*.f64 -1 (*.f64 -1/2 x)) |
(*.f64 1/2 x) |
(*.f64 1 (*.f64 x 1/2)) |
(*.f64 1/2 x) |
(*.f64 (*.f64 -1/2 x) -1) |
(*.f64 1/2 x) |
(*.f64 (*.f64 x 1/2) 1) |
(*.f64 1/2 x) |
(*.f64 2 (/.f64 x 4)) |
(*.f64 1/2 x) |
(*.f64 x 1/2) |
(*.f64 1/2 x) |
(*.f64 4 (/.f64 x 8)) |
(*.f64 1/2 x) |
(*.f64 (+.f64 x x) 1/4) |
(*.f64 1/2 x) |
(*.f64 1/2 x) |
(*.f64 1/4 (+.f64 x x)) |
(*.f64 1/2 x) |
(*.f64 (/.f64 x 4) 2) |
(*.f64 1/2 x) |
(*.f64 (/.f64 x 8) 4) |
(*.f64 1/2 x) |
(/.f64 (*.f64 -1/2 x) -1) |
(*.f64 1/2 x) |
(/.f64 (*.f64 x 1/2) 1) |
(*.f64 1/2 x) |
(/.f64 x 2) |
(*.f64 1/2 x) |
(/.f64 (+.f64 x x) 4) |
(*.f64 1/2 x) |
(/.f64 (neg.f64 x) -2) |
(*.f64 1/2 x) |
(/.f64 (*.f64 x 4) 8) |
(*.f64 1/2 x) |
(/.f64 (*.f64 -2 x) -4) |
(*.f64 1/2 x) |
(/.f64 (*.f64 x 8) 16) |
(*.f64 1/2 x) |
(/.f64 (*.f64 2 (*.f64 x 8)) 32) |
(*.f64 1/2 x) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 x 8))) 64) |
(*.f64 1/2 x) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 x 8)))) 128) |
(*.f64 1/2 x) |
(pow.f64 (*.f64 x 1/2) 1) |
(*.f64 1/2 x) |
(neg.f64 (*.f64 -1/2 x)) |
(*.f64 1/2 x) |
(-.f64 -1 (+.f64 (*.f64 -1/2 x) -2)) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(-.f64 1 (*.f64 -1/2 x)) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(-.f64 (-.f64 (*.f64 x 1/2) -2) 1) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(-.f64 (+.f64 1 (*.f64 x 1/2)) 0) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(-.f64 (*.f64 x 1/2) -1) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(-.f64 0 (+.f64 -1 (*.f64 -1/2 x))) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(-.f64 0 (-.f64 (/.f64 (+.f64 (*.f64 -1/2 x) -2) 2) (+.f64 (*.f64 (-.f64 (*.f64 x 1/2) -2) 1/2) -1))) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(-.f64 -2 (+.f64 (*.f64 -1/2 x) -3)) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(-.f64 (/.f64 x 4) (+.f64 (*.f64 x -1/4) -1)) |
(-.f64 (/.f64 x 4) (+.f64 -1 (*.f64 x -1/4))) |
(-.f64 1 (-.f64 (*.f64 x -1/4) (/.f64 x 4))) |
(-.f64 1 (-.f64 (*.f64 x -1/4) (*.f64 x 1/4))) |
(-.f64 1 (+.f64 (*.f64 x -1/4) (/.f64 x -4))) |
(-.f64 (/.f64 (-.f64 x -2) 4) (/.f64 (-.f64 -2 x) 4)) |
(-.f64 (*.f64 -1/4 (-.f64 -2 x)) (/.f64 (-.f64 -2 x) 4)) |
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 x 1/2) -2) 1/2) -1) (/.f64 (+.f64 (*.f64 -1/2 x) -2) 2)) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(*.f64 -1 (+.f64 -1 (*.f64 -1/2 x))) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(*.f64 1 (+.f64 1 (*.f64 x 1/2))) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(*.f64 (+.f64 -1 (*.f64 -1/2 x)) -1) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(*.f64 (+.f64 1 (*.f64 x 1/2)) 1) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(*.f64 -2 (/.f64 (-.f64 -2 x) 4)) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(*.f64 2 (/.f64 (-.f64 x -2) 4)) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(*.f64 4 (/.f64 (-.f64 -2 x) -8)) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(*.f64 (-.f64 x -2) 1/2) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(*.f64 (*.f64 2 (-.f64 x -2)) 1/4) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(*.f64 1/2 (-.f64 x -2)) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(*.f64 1/4 (*.f64 2 (-.f64 x -2))) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(*.f64 (/.f64 (-.f64 -2 x) 4) -2) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(*.f64 (/.f64 (-.f64 x -2) 4) 2) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(*.f64 (/.f64 (-.f64 -2 x) -8) 4) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(/.f64 (+.f64 -1 (*.f64 -1/2 x)) -1) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(/.f64 (+.f64 1 (*.f64 x 1/2)) 1) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(/.f64 (-.f64 -2 x) -2) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(/.f64 (-.f64 x -2) 2) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(/.f64 (*.f64 2 (-.f64 -2 x)) -4) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(/.f64 (*.f64 2 (-.f64 x -2)) 4) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(/.f64 (*.f64 (-.f64 -2 x) 4) -8) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(/.f64 (*.f64 4 (-.f64 x -2)) 8) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(/.f64 (*.f64 2 (*.f64 (-.f64 -2 x) 4)) -16) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(/.f64 (*.f64 2 (*.f64 4 (-.f64 x -2))) 16) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(/.f64 (neg.f64 (*.f64 2 (-.f64 -2 x))) 4) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(/.f64 (neg.f64 (*.f64 (-.f64 -2 x) 4)) 8) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 -2 x) 4))) -32) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 4 (-.f64 x -2)))) 32) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(/.f64 (*.f64 2 (neg.f64 (*.f64 2 (-.f64 -2 x)))) 8) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(/.f64 (*.f64 2 (neg.f64 (*.f64 (-.f64 -2 x) 4))) 16) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(/.f64 (neg.f64 (*.f64 2 (*.f64 (-.f64 -2 x) 4))) 16) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 -2 x) 4)))) -64) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (-.f64 x -2))))) 64) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(/.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (-.f64 -2 x))))) 16) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(/.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 (-.f64 -2 x) 4)))) 32) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(/.f64 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (-.f64 -2 x) 4)))) 32) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (-.f64 x -2)))))) 128) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (-.f64 -2 x)))))) 32) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 (-.f64 -2 x) 4))))) 64) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(/.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (*.f64 (-.f64 -2 x) 4))))) 64) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(pow.f64 (+.f64 1 (*.f64 x 1/2)) 1) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(neg.f64 (+.f64 -1 (*.f64 -1/2 x))) |
(+.f64 1 (*.f64 1/2 x)) |
(-.f64 1 (*.f64 x -1/2)) |
(+.f64 -1 (neg.f64 (+.f64 (*.f64 -1/2 x) -3))) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(+.f64 (-.f64 (*.f64 x 1/2) -2) 0) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(+.f64 0 (-.f64 (*.f64 x 1/2) -2)) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(+.f64 -2 (-.f64 1 (+.f64 (*.f64 -1/2 x) -3))) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(+.f64 (neg.f64 (+.f64 (*.f64 -1/2 x) -3)) -1) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(+.f64 (*.f64 (-.f64 (*.f64 x 1/2) -2) 1/2) (*.f64 (-.f64 (*.f64 x 1/2) -2) 1/2)) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(+.f64 (-.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 x) -2) 2)) (-.f64 1 (/.f64 (+.f64 (*.f64 -1/2 x) -2) 2))) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(*.f64 -1 (+.f64 (*.f64 -1/2 x) -2)) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(*.f64 1 (-.f64 (*.f64 x 1/2) -2)) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(*.f64 (-.f64 (*.f64 x 1/2) -2) 1) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(*.f64 2 (*.f64 (-.f64 (*.f64 x 1/2) -2) 1/2)) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(*.f64 4 (/.f64 (-.f64 (*.f64 x 1/2) -2) 4)) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(*.f64 (neg.f64 (+.f64 -2 (-.f64 -2 x))) 1/2) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(*.f64 (+.f64 (*.f64 -1/2 x) -2) -1) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(*.f64 (*.f64 (-.f64 (*.f64 x 1/2) -2) 4) 1/4) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(*.f64 1/2 (neg.f64 (+.f64 -2 (-.f64 -2 x)))) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(*.f64 1/4 (*.f64 (-.f64 (*.f64 x 1/2) -2) 4)) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(*.f64 (*.f64 (-.f64 (*.f64 x 1/2) -2) 1/2) 2) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(*.f64 (/.f64 (+.f64 (*.f64 -1/2 x) -2) 2) -2) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(*.f64 (/.f64 (-.f64 (*.f64 x 1/2) -2) 4) 4) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(/.f64 (-.f64 (*.f64 x 1/2) -2) 1) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(/.f64 (neg.f64 (+.f64 -2 (-.f64 -2 x))) 2) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(/.f64 (+.f64 (*.f64 -1/2 x) -2) -1) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(/.f64 (*.f64 (-.f64 (*.f64 x 1/2) -2) 4) 4) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(/.f64 (+.f64 -2 (-.f64 -2 x)) -2) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(/.f64 (*.f64 (-.f64 (*.f64 x 1/2) -2) 8) 8) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(/.f64 (*.f64 2 (+.f64 -2 (-.f64 -2 x))) -4) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(/.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 x 1/2) -2) 8)) 16) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 x 1/2) -2) 8))) 32) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(/.f64 (*.f64 2 (*.f64 2 (+.f64 -2 (-.f64 -2 x)))) -8) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(/.f64 (neg.f64 (*.f64 2 (+.f64 -2 (-.f64 -2 x)))) 4) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (+.f64 -2 (-.f64 -2 x))))) -16) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 x 1/2) -2) 8)))) 64) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(/.f64 (*.f64 2 (neg.f64 (*.f64 2 (+.f64 -2 (-.f64 -2 x))))) 8) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 x 1/2) -2) 8))))) 128) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(/.f64 (*.f64 2 (*.f64 2 (neg.f64 (*.f64 2 (+.f64 -2 (-.f64 -2 x)))))) 16) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(pow.f64 (-.f64 (*.f64 x 1/2) -2) 1) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(neg.f64 (+.f64 (*.f64 -1/2 x) -2)) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
(neg.f64 (-.f64 0 (-.f64 (*.f64 x 1/2) -2))) |
(+.f64 2 (*.f64 1/2 x)) |
(-.f64 2 (*.f64 x -1/2)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 1/2 (sin.f64 x)) |
| ✓ | 0.2b | (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (/.f64 1/2 (sin.f64 x)))) |
| ✓ | 0.2b | (/.f64 1/2 (/.f64 1/2 (sin.f64 x))) |
| 2.2b | (-.f64 1 (cos.f64 x)) |
Compiled 33 to 20 computations (39.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 1/2 (sin.f64 x)) |
| 0.0ms | x | @ | -inf | (/.f64 1/2 (sin.f64 x)) |
| 0.0ms | x | @ | 0 | (/.f64 1/2 (sin.f64 x)) |
| 0.0ms | x | @ | 0 | (/.f64 1/2 (/.f64 1/2 (sin.f64 x))) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (/.f64 1/2 (sin.f64 x)))) |
| 1× | batch-egg-rewrite |
| 2284× | rational.json-1 |
| 1124× | exponential.json-3 |
| 1124× | rational.json-2 |
| 1124× | rational.json-4 |
| 1124× | rational.json-3 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 37 |
| 1 | 100 | 37 |
| 2 | 273 | 37 |
| 3 | 882 | 37 |
| 4 | 3205 | 37 |
| 5 | 7770 | 37 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1/2 (/.f64 1/2 (sin.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (/.f64 1/2 (sin.f64 x)))) |
(/.f64 1/2 (sin.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (sin.f64 x)) (*.f64 1/2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 2 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4)) (/.f64 1 (*.f64 (sin.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (/.f64 1/2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (sin.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sin.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))) (/.f64 1/2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x)))) (/.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x)))) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 x) 4)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (-.f64 (PI.f64) x)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 1/2 (sin.f64 x))) (/.f64 1 (/.f64 -1/2 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 8 (sin.f64 x)) (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (*.f64 8 (sin.f64 x)))) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4)) (*.f64 1/4 (/.f64 1/2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (sin.f64 x)) 4) (*.f64 1/4 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x))) (*.f64 (/.f64 1 (/.f64 2 (sin.f64 x))) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (neg.f64 (/.f64 1/2 (sin.f64 x)))) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 1/2 (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) (neg.f64 (/.f64 1/2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)) (/.f64 2 (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)) (*.f64 (*.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))) (/.f64 4 (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 -1/2 (-.f64 1 (cos.f64 x)))) (neg.f64 (/.f64 1/2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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(/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (*.f64 (sin.f64 x) 4) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (*.f64 (sin.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (*.f64 (sin.f64 x) 4) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 x)) (+.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 -1/2 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (/.f64 1/2 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (/.f64 1/2 (sin.f64 x))) (*.f64 1/2 (/.f64 1/2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 1/2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 2) (/.f64 2 (*.f64 (sin.f64 x) (*.f64 8 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (/.f64 1/2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 1/2 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 1/2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sin.f64 x)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (/.f64 1 (/.f64 2 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 8 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 1/2 (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 1/2 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 2 (sin.f64 x))) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x))) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sin.f64 x) (*.f64 8 (sin.f64 x)))) (*.f64 (sin.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (sin.f64 x) (*.f64 8 (sin.f64 x)))) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 1/2 (sin.f64 x)))))))) |
| 1× | egg-herbie |
| 1210× | rational.json-simplify-35 |
| 1118× | rational.json-simplify-51 |
| 992× | rational.json-simplify-57 |
| 930× | rational.json-simplify-2 |
| 674× | rational.json-simplify-53 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 291 | 2701 |
| 1 | 619 | 2689 |
| 2 | 2092 | 2671 |
| 3 | 4688 | 2671 |
| 1× | node limit |
| Inputs |
|---|
x |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 1/2 x) |
(+.f64 (*.f64 1/12 x) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 1/12 x) (+.f64 (*.f64 7/720 (pow.f64 x 3)) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (*.f64 1/12 x) (+.f64 (*.f64 7/720 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 31/30240 (pow.f64 x 5))))) |
(+.f64 (sin.f64 x) 0) |
(+.f64 0 (sin.f64 x)) |
(+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 x)))) |
(+.f64 (*.f64 1/2 (sin.f64 x)) (*.f64 1/2 (sin.f64 x))) |
(-.f64 (sin.f64 x) 0) |
(-.f64 0 (neg.f64 (sin.f64 x))) |
(*.f64 1/2 (*.f64 (sin.f64 x) 2)) |
(*.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))) |
(*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 2 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)))) |
(*.f64 (sin.f64 x) 1) |
(*.f64 1 (sin.f64 x)) |
(*.f64 (*.f64 (sin.f64 x) 2) 1/2) |
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))) |
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) |
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)))) |
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x))))) |
(*.f64 2 (*.f64 1/2 (sin.f64 x))) |
(*.f64 2 (/.f64 (sin.f64 x) 2)) |
(*.f64 2 (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)))) |
(*.f64 -1 (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x))))) |
(*.f64 (*.f64 (sin.f64 x) 4) 1/4) |
(*.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4)) (/.f64 1 (*.f64 (sin.f64 x) 4))) |
(*.f64 (neg.f64 (sin.f64 x)) -1) |
(*.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (/.f64 1/2 (sin.f64 x))) |
(*.f64 (*.f64 1/2 (sin.f64 x)) 2) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))) |
(*.f64 1/4 (*.f64 (sin.f64 x) 4)) |
(*.f64 (/.f64 (sin.f64 x) 2) 2) |
(*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))) 2) |
(*.f64 (/.f64 1 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))) (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 2 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))) (/.f64 1/2 (sin.f64 x))) |
(*.f64 (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x)))) (/.f64 2 (sin.f64 x))) |
(*.f64 (/.f64 2 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x)))) (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) 4)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) 2)) |
(pow.f64 (sin.f64 x) 1) |
(neg.f64 (neg.f64 (sin.f64 x))) |
(sin.f64 x) |
(sin.f64 (-.f64 (PI.f64) x)) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0) |
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(+.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0) |
(*.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))) |
(*.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2)) |
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1/2 (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 2 (*.f64 (*.f64 (sin.f64 x) 4) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(*.f64 (*.f64 (sin.f64 x) 2) (*.f64 (/.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x))))) |
(*.f64 2 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) |
(*.f64 2 (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))) |
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2)) |
(*.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(*.f64 (/.f64 2 (sin.f64 x)) (*.f64 1/2 (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (*.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) 4))) |
(*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 2 (sin.f64 x)) (*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x))) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (/.f64 1 (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (*.f64 (*.f64 (sin.f64 x) 4) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(*.f64 (*.f64 (sin.f64 x) 4) (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (sin.f64 x) 4) (*.f64 (/.f64 2 (*.f64 (sin.f64 x) (*.f64 8 (sin.f64 x)))) (-.f64 1 (cos.f64 x)))) |
(*.f64 4 (*.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) (-.f64 1 (cos.f64 x)))) |
(*.f64 4 (*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) 2) (-.f64 1 (cos.f64 x)))) |
(*.f64 4 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1/2 (sin.f64 x)))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) 1/2) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 1/2 (/.f64 1/2 (sin.f64 x)))) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 (sin.f64 x) 4))) |
(*.f64 (neg.f64 (/.f64 1/2 (sin.f64 x))) (/.f64 1 (/.f64 -1/2 (-.f64 1 (cos.f64 x))))) |
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x))) |
(*.f64 (*.f64 8 (sin.f64 x)) (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (*.f64 8 (sin.f64 x)))) (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4)) (*.f64 1/4 (/.f64 1/2 (sin.f64 x)))) |
(*.f64 (*.f64 (/.f64 1 (sin.f64 x)) 4) (*.f64 1/4 (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x))) (*.f64 (/.f64 1 (/.f64 2 (sin.f64 x))) (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 2 (neg.f64 (/.f64 1/2 (sin.f64 x)))) (+.f64 (cos.f64 x) -1)) |
(*.f64 -2 (*.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 (cos.f64 x) -1))) |
(*.f64 (*.f64 1/2 (/.f64 1/2 (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 4)) |
(*.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 2) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) (neg.f64 (/.f64 1/2 (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)) (/.f64 2 (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)) (*.f64 (*.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))) (/.f64 4 (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1 (/.f64 -1/2 (-.f64 1 (cos.f64 x)))) (neg.f64 (/.f64 1/2 (sin.f64 x)))) |
(*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) 2) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -1) |
(*.f64 (*.f64 1/2 (-.f64 1 (cos.f64 x))) (/.f64 2 (sin.f64 x))) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) 4)) (*.f64 (-.f64 1 (cos.f64 x)) 4)) |
(*.f64 (/.f64 1 (*.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) 4)) (/.f64 2 (sin.f64 x))) |
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 x)))) (/.f64 2 (sin.f64 x))) |
(*.f64 (/.f64 1 (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 2 (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x))) |
(*.f64 (/.f64 4 (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x)))) |
(*.f64 (/.f64 1 (*.f64 (*.f64 (sin.f64 x) 4) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (*.f64 (sin.f64 x) 4)) |
(*.f64 (/.f64 2 (*.f64 (*.f64 (sin.f64 x) 4) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (*.f64 (sin.f64 x) 2)) |
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 2) |
(*.f64 (/.f64 -1 (sin.f64 x)) (+.f64 (cos.f64 x) -1)) |
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1) |
(neg.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 -1/2 (-.f64 1 (cos.f64 x))))) |
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(+.f64 (/.f64 1/2 (sin.f64 x)) 0) |
(+.f64 0 (/.f64 1/2 (sin.f64 x))) |
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 1/2 (sin.f64 x))))) |
(+.f64 (*.f64 1/2 (/.f64 1/2 (sin.f64 x))) (*.f64 1/2 (/.f64 1/2 (sin.f64 x)))) |
(-.f64 (/.f64 1/2 (sin.f64 x)) 0) |
(-.f64 0 (neg.f64 (/.f64 1/2 (sin.f64 x)))) |
(*.f64 1/2 (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 1/2 (sin.f64 x)) 1) |
(*.f64 (sin.f64 x) (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4)))) |
(*.f64 1 (/.f64 1/2 (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 x) 2) (*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x)))) |
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4)))) |
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 2 (*.f64 (sin.f64 x) (*.f64 8 (sin.f64 x))))) |
(*.f64 (/.f64 1 (sin.f64 x)) 1/2) |
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x)))) |
(*.f64 2 (*.f64 1/2 (/.f64 1/2 (sin.f64 x)))) |
(*.f64 2 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4)))) |
(*.f64 2 (/.f64 (/.f64 1/2 (sin.f64 x)) 2)) |
(*.f64 -1 (neg.f64 (/.f64 1/2 (sin.f64 x)))) |
(*.f64 (/.f64 2 (sin.f64 x)) 1/4) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (/.f64 1 (/.f64 2 (sin.f64 x)))) |
(*.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 8 (sin.f64 x))))) |
(*.f64 (neg.f64 (/.f64 1/2 (sin.f64 x))) -1) |
(*.f64 (*.f64 1/2 (/.f64 1/2 (sin.f64 x))) 2) |
(*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))) (*.f64 (sin.f64 x) 2)) |
(*.f64 1/4 (/.f64 2 (sin.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) 2) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) (*.f64 (sin.f64 x) 2)) |
(*.f64 (/.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) 2) 2) |
(*.f64 (/.f64 1 (/.f64 2 (sin.f64 x))) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x))) (/.f64 1 (sin.f64 x))) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (*.f64 8 (sin.f64 x)))) (*.f64 (sin.f64 x) 4)) |
(*.f64 (/.f64 2 (*.f64 (sin.f64 x) (*.f64 8 (sin.f64 x)))) (*.f64 (sin.f64 x) 2)) |
(pow.f64 (/.f64 1/2 (sin.f64 x)) 1) |
(neg.f64 (neg.f64 (/.f64 1/2 (sin.f64 x)))) |
| Outputs |
|---|
x |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) |
(+.f64 x (*.f64 -1/6 (pow.f64 x 3))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x (*.f64 1/120 (pow.f64 x 5)))) |
(+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5)))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))) |
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (+.f64 x (*.f64 -1/5040 (pow.f64 x 7))))) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 x) |
(*.f64 1/2 x) |
(*.f64 x 1/2) |
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 (*.f64 x 1/2) (*.f64 (pow.f64 x 3) 1/24)) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))) |
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 (pow.f64 x 3) 1/24) (*.f64 (pow.f64 x 5) 1/240))) |
(+.f64 (*.f64 (pow.f64 x 3) 1/24) (+.f64 (*.f64 (pow.f64 x 5) 1/240) (*.f64 x 1/2))) |
(+.f64 (*.f64 (pow.f64 x 3) 1/24) (+.f64 (*.f64 x 1/2) (*.f64 (pow.f64 x 5) 1/240))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3))))) |
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 (pow.f64 x 5) 1/240) (+.f64 (*.f64 (pow.f64 x 3) 1/24) (*.f64 (pow.f64 x 7) 17/40320)))) |
(+.f64 (*.f64 (pow.f64 x 7) 17/40320) (+.f64 (*.f64 (pow.f64 x 3) 1/24) (+.f64 (*.f64 (pow.f64 x 5) 1/240) (*.f64 x 1/2)))) |
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 (pow.f64 x 3) 1/24) (+.f64 (*.f64 (pow.f64 x 5) 1/240) (*.f64 (pow.f64 x 7) 17/40320)))) |
(+.f64 (*.f64 (pow.f64 x 3) 1/24) (+.f64 (*.f64 x 1/2) (+.f64 (*.f64 (pow.f64 x 5) 1/240) (*.f64 (pow.f64 x 7) 17/40320)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 1/2 x) |
(+.f64 (*.f64 1/12 x) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 x 1/12) (*.f64 1/2 (/.f64 1 x))) |
(+.f64 (*.f64 1/12 x) (+.f64 (*.f64 7/720 (pow.f64 x 3)) (*.f64 1/2 (/.f64 1 x)))) |
(+.f64 (*.f64 x 1/12) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 (pow.f64 x 3) 7/720))) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 x 1/12) (*.f64 (pow.f64 x 3) 7/720))) |
(+.f64 (*.f64 1/12 x) (+.f64 (*.f64 7/720 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 31/30240 (pow.f64 x 5))))) |
(+.f64 (*.f64 x 1/12) (+.f64 (*.f64 (pow.f64 x 3) 7/720) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 (pow.f64 x 5) 31/30240)))) |
(+.f64 (*.f64 x 1/12) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 (pow.f64 x 3) 7/720) (*.f64 (pow.f64 x 5) 31/30240)))) |
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 x 1/12) (+.f64 (*.f64 (pow.f64 x 3) 7/720) (*.f64 (pow.f64 x 5) 31/30240)))) |
(+.f64 (sin.f64 x) 0) |
(sin.f64 x) |
(+.f64 0 (sin.f64 x)) |
(sin.f64 x) |
(+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 x)))) |
(sin.f64 x) |
(+.f64 (*.f64 1/2 (sin.f64 x)) (*.f64 1/2 (sin.f64 x))) |
(sin.f64 x) |
(-.f64 (sin.f64 x) 0) |
(sin.f64 x) |
(-.f64 0 (neg.f64 (sin.f64 x))) |
(sin.f64 x) |
(*.f64 1/2 (*.f64 (sin.f64 x) 2)) |
(sin.f64 x) |
(*.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))) |
(sin.f64 x) |
(*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 2 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)))) |
(sin.f64 x) |
(*.f64 (sin.f64 x) 1) |
(sin.f64 x) |
(*.f64 1 (sin.f64 x)) |
(sin.f64 x) |
(*.f64 (*.f64 (sin.f64 x) 2) 1/2) |
(sin.f64 x) |
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))) |
(sin.f64 x) |
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) |
(sin.f64 x) |
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)))) |
(sin.f64 x) |
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x))))) |
(sin.f64 x) |
(*.f64 2 (*.f64 1/2 (sin.f64 x))) |
(sin.f64 x) |
(*.f64 2 (/.f64 (sin.f64 x) 2)) |
(sin.f64 x) |
(*.f64 2 (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)))) |
(sin.f64 x) |
(*.f64 -1 (neg.f64 (sin.f64 x))) |
(sin.f64 x) |
(*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x))))) |
(sin.f64 x) |
(*.f64 (*.f64 (sin.f64 x) 4) 1/4) |
(sin.f64 x) |
(*.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4)) (/.f64 1 (*.f64 (sin.f64 x) 4))) |
(sin.f64 x) |
(*.f64 (neg.f64 (sin.f64 x)) -1) |
(sin.f64 x) |
(*.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (/.f64 1/2 (sin.f64 x))) |
(sin.f64 x) |
(*.f64 (*.f64 1/2 (sin.f64 x)) 2) |
(sin.f64 x) |
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (sin.f64 x))) |
(sin.f64 x) |
(*.f64 1/4 (*.f64 (sin.f64 x) 4)) |
(sin.f64 x) |
(*.f64 (/.f64 (sin.f64 x) 2) 2) |
(sin.f64 x) |
(*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))) 2) |
(sin.f64 x) |
(*.f64 (/.f64 1 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))) (/.f64 1 (sin.f64 x))) |
(sin.f64 x) |
(*.f64 (/.f64 2 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))) (/.f64 1/2 (sin.f64 x))) |
(sin.f64 x) |
(*.f64 (/.f64 1 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x)))) (/.f64 2 (sin.f64 x))) |
(sin.f64 x) |
(*.f64 (/.f64 2 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x)))) (/.f64 1 (sin.f64 x))) |
(sin.f64 x) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) 4)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) |
(sin.f64 x) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) 2)) |
(sin.f64 x) |
(pow.f64 (sin.f64 x) 1) |
(sin.f64 x) |
(neg.f64 (neg.f64 (sin.f64 x))) |
(sin.f64 x) |
(sin.f64 x) |
(sin.f64 (-.f64 (PI.f64) x)) |
(sin.f64 x) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(+.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (sin.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1/2 (sin.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 2 (*.f64 (*.f64 (sin.f64 x) 4) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (*.f64 (sin.f64 x) 2) (*.f64 (/.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 2 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 2 (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 2 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 2 (sin.f64 x)) (*.f64 1/2 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (*.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) 4))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 2 (sin.f64 x)) (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 2 (sin.f64 x)) (*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x))) (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (/.f64 1 (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (*.f64 (*.f64 (sin.f64 x) 4) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (*.f64 (sin.f64 x) 4) (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (*.f64 (sin.f64 x) 4) (*.f64 (/.f64 2 (*.f64 (sin.f64 x) (*.f64 8 (sin.f64 x)))) (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 4 (*.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 4 (*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) 2) (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 4 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (/.f64 1/2 (sin.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))) 1/2) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 1/2 (/.f64 1/2 (sin.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 1 (*.f64 (sin.f64 x) 4))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (neg.f64 (/.f64 1/2 (sin.f64 x))) (/.f64 1 (/.f64 -1/2 (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -1 (sin.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (*.f64 8 (sin.f64 x)) (*.f64 (/.f64 1 (*.f64 (sin.f64 x) (*.f64 8 (sin.f64 x)))) (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4)) (*.f64 1/4 (/.f64 1/2 (sin.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 1 (sin.f64 x)) 4) (*.f64 1/4 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x))) (*.f64 (/.f64 1 (/.f64 2 (sin.f64 x))) (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) 2))) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) 1/2) (*.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x))))) |
(*.f64 (/.f64 (/.f64 2 (sin.f64 x)) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 1/2))) |
(*.f64 (*.f64 2 (neg.f64 (/.f64 1/2 (sin.f64 x)))) (+.f64 (cos.f64 x) -1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 -2 (*.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 (cos.f64 x) -1))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (*.f64 1/2 (/.f64 1/2 (sin.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) 4)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 2) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) -2) (neg.f64 (/.f64 1/2 (sin.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)) (/.f64 2 (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)) (*.f64 (*.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))) (/.f64 4 (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) 4))))) |
(*.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/4 (sin.f64 x)))) |
(*.f64 (/.f64 1/4 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/4 (sin.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 -1/2 (-.f64 1 (cos.f64 x)))) (neg.f64 (/.f64 1/2 (sin.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) 2) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -1) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (*.f64 1/2 (-.f64 1 (cos.f64 x))) (/.f64 2 (sin.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) 4)) (*.f64 (-.f64 1 (cos.f64 x)) 4)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 1 (*.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) 4)) (/.f64 2 (sin.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 x)))) (/.f64 2 (sin.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 1 (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 2 (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 4 (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) (*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x)))) |
(*.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) 4))))) |
(*.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/4 (sin.f64 x)))) |
(*.f64 (/.f64 1/4 (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/4 (sin.f64 x)))) |
(*.f64 (/.f64 1 (*.f64 (*.f64 (sin.f64 x) 4) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (*.f64 (sin.f64 x) 4)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 2 (*.f64 (*.f64 (sin.f64 x) 4) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (*.f64 (sin.f64 x) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 2) 2) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 -1 (sin.f64 x)) (+.f64 (cos.f64 x) -1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(neg.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 -1/2 (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(+.f64 (/.f64 1/2 (sin.f64 x)) 0) |
(/.f64 1/2 (sin.f64 x)) |
(+.f64 0 (/.f64 1/2 (sin.f64 x))) |
(/.f64 1/2 (sin.f64 x)) |
(+.f64 -1 (-.f64 1 (neg.f64 (/.f64 1/2 (sin.f64 x))))) |
(/.f64 1/2 (sin.f64 x)) |
(+.f64 (*.f64 1/2 (/.f64 1/2 (sin.f64 x))) (*.f64 1/2 (/.f64 1/2 (sin.f64 x)))) |
(/.f64 1/2 (sin.f64 x)) |
(-.f64 (/.f64 1/2 (sin.f64 x)) 0) |
(/.f64 1/2 (sin.f64 x)) |
(-.f64 0 (neg.f64 (/.f64 1/2 (sin.f64 x)))) |
(/.f64 1/2 (sin.f64 x)) |
(*.f64 1/2 (/.f64 1 (sin.f64 x))) |
(/.f64 1/2 (sin.f64 x)) |
(*.f64 (/.f64 1/2 (sin.f64 x)) 1) |
(/.f64 1/2 (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x))) |
(/.f64 1/2 (sin.f64 x)) |
(*.f64 (sin.f64 x) (/.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4)))) |
(/.f64 1/2 (sin.f64 x)) |
(*.f64 1 (/.f64 1/2 (sin.f64 x))) |
(/.f64 1/2 (sin.f64 x)) |
(*.f64 (*.f64 (sin.f64 x) 2) (*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x)))) |
(/.f64 1/2 (sin.f64 x)) |
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4)))) |
(/.f64 1/2 (sin.f64 x)) |
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 2 (*.f64 (sin.f64 x) (*.f64 8 (sin.f64 x))))) |
(/.f64 1/2 (sin.f64 x)) |
(*.f64 (/.f64 1 (sin.f64 x)) 1/2) |
(/.f64 1/2 (sin.f64 x)) |
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x)))) |
(/.f64 1/2 (sin.f64 x)) |
(*.f64 2 (*.f64 1/2 (/.f64 1/2 (sin.f64 x)))) |
(/.f64 1/2 (sin.f64 x)) |
(*.f64 2 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4)))) |
(/.f64 1/2 (sin.f64 x)) |
(*.f64 2 (/.f64 (/.f64 1/2 (sin.f64 x)) 2)) |
(/.f64 1/2 (sin.f64 x)) |
(*.f64 -1 (neg.f64 (/.f64 1/2 (sin.f64 x)))) |
(/.f64 1/2 (sin.f64 x)) |
(*.f64 (/.f64 2 (sin.f64 x)) 1/4) |
(/.f64 1/2 (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (/.f64 1 (/.f64 2 (sin.f64 x)))) |
(/.f64 1/2 (sin.f64 x)) |
(*.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (*.f64 (sin.f64 x) (*.f64 8 (sin.f64 x))))) |
(/.f64 1/2 (sin.f64 x)) |
(*.f64 (neg.f64 (/.f64 1/2 (sin.f64 x))) -1) |
(/.f64 1/2 (sin.f64 x)) |
(*.f64 (*.f64 1/2 (/.f64 1/2 (sin.f64 x))) 2) |
(/.f64 1/2 (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)) (sin.f64 x)) |
(/.f64 1/2 (sin.f64 x)) |
(*.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (sin.f64 x))) (*.f64 (sin.f64 x) 2)) |
(/.f64 1/2 (sin.f64 x)) |
(*.f64 1/4 (/.f64 2 (sin.f64 x))) |
(/.f64 1/2 (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) 2) |
(/.f64 1/2 (sin.f64 x)) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) (*.f64 (sin.f64 x) 2)) |
(/.f64 1/2 (sin.f64 x)) |
(*.f64 (/.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) (sin.f64 x)) |
(/.f64 1/2 (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) 2) 2) |
(/.f64 1/2 (sin.f64 x)) |
(*.f64 (/.f64 1 (/.f64 2 (sin.f64 x))) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))) |
(/.f64 1/2 (sin.f64 x)) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 2 (sin.f64 x))) (/.f64 1 (sin.f64 x))) |
(/.f64 1/2 (sin.f64 x)) |
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) (*.f64 8 (sin.f64 x)))) (*.f64 (sin.f64 x) 4)) |
(/.f64 1/2 (sin.f64 x)) |
(*.f64 (/.f64 2 (*.f64 (sin.f64 x) (*.f64 8 (sin.f64 x)))) (*.f64 (sin.f64 x) 2)) |
(/.f64 1/2 (sin.f64 x)) |
(pow.f64 (/.f64 1/2 (sin.f64 x)) 1) |
(/.f64 1/2 (sin.f64 x)) |
(neg.f64 (neg.f64 (/.f64 1/2 (sin.f64 x)))) |
(/.f64 1/2 (sin.f64 x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) |
| ✓ | 0.2b | (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
| ✓ | 0.2b | (*.f64 (*.f64 (sin.f64 x) 2) (/.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
| 2.2b | (-.f64 1 (cos.f64 x)) |
Compiled 63 to 32 computations (49.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | inf | (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
| 0.0ms | x | @ | -inf | (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
| 0.0ms | x | @ | -inf | (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) |
| 0.0ms | x | @ | 0 | (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) |
| 1× | batch-egg-rewrite |
| 1562× | exponential.json-3 |
| 1562× | rational.json-1 |
| 1562× | rational.json-2 |
| 1562× | rational.json-4 |
| 1562× | rational.json-3 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 105 |
| 1 | 118 | 105 |
| 2 | 316 | 93 |
| 3 | 1016 | 93 |
| 4 | 4415 | 73 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4)) (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 (sin.f64 x) 4) (*.f64 2 (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (*.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (sin.f64 x) (*.f64 2 (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) (/.f64 2 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 1/2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4)) (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 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(/.f64 1/2 (sin.f64 x)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) (*.f64 -1 (/.f64 1 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) -2) (/.f64 1 (*.f64 2 (+.f64 (cos.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) 1/2) (/.f64 2 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) 2)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) 2)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 4)) (*.f64 (sin.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (+.f64 (cos.f64 x) -1))) (*.f64 (sin.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))))))) |
| 1× | egg-herbie |
| 1588× | rational.json-simplify-53 |
| 1394× | rational.json-simplify-2 |
| 1394× | rational.json-simplify-35 |
| 898× | rational.json-simplify-61 |
| 834× | rational.json-simplify-44 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 366 | 5342 |
| 1 | 1273 | 5282 |
| 2 | 5354 | 5258 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
2 |
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))) |
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x))) |
(/.f64 2 x) |
(+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x))) |
(+.f64 (*.f64 -1/360 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) |
(+.f64 (*.f64 -1/360 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 x) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1/15120 (pow.f64 x 5))))) |
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0) |
(/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) |
(/.f64 2 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))) |
(/.f64 2 (/.f64 (*.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4)) (*.f64 (sin.f64 x) 2))) |
(/.f64 2 (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))) (sin.f64 x))) |
(/.f64 2 (/.f64 (*.f64 (sin.f64 x) 4) (*.f64 2 (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) |
(/.f64 (*.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))) |
(/.f64 1/2 (*.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x))))) |
(/.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) 2))) |
(/.f64 1/2 (/.f64 (sin.f64 x) (*.f64 2 (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) |
(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 1 (/.f64 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) (/.f64 2 (sin.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) 2))) |
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 1/2 (sin.f64 x))) |
(/.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2)) |
(/.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4)) (*.f64 (sin.f64 x) 2))) |
(/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (sin.f64 x)))) |
(/.f64 (+.f64 (cos.f64 x) -1) (neg.f64 (sin.f64 x))) |
(/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) -2)) (*.f64 (sin.f64 x) 2))) |
(/.f64 -1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) |
(/.f64 (*.f64 2 (/.f64 1/2 (sin.f64 x))) (/.f64 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) 2))) |
(/.f64 4 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4)) |
(/.f64 4 (/.f64 (*.f64 (sin.f64 x) 4) (-.f64 1 (cos.f64 x)))) |
(/.f64 4 (/.f64 (*.f64 2 (*.f64 (sin.f64 x) 4)) (*.f64 2 (-.f64 1 (cos.f64 x))))) |
(/.f64 4 (/.f64 (*.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4)) (sin.f64 x))) |
(/.f64 4 (/.f64 (*.f64 2 (*.f64 (sin.f64 x) 4)) (*.f64 2 (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) |
(/.f64 (*.f64 (sin.f64 x) 4) (*.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4))) |
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (*.f64 (sin.f64 x) 4)) |
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (/.f64 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) (*.f64 (sin.f64 x) 2))) |
(/.f64 (*.f64 (sin.f64 x) -2) (neg.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))))) |
(/.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (*.f64 (sin.f64 x) -2)) |
(/.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (/.f64 (/.f64 (sin.f64 x) (/.f64 -1/4 (sin.f64 x))) (*.f64 (sin.f64 x) 2))) |
(/.f64 (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1/2) |
(/.f64 (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))) |
(/.f64 (/.f64 -1/2 (sin.f64 x)) (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (*.f64 (sin.f64 x) 2))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (*.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) 2))) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (sin.f64 x) (sin.f64 x))) |
(/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 2) |
(/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (sin.f64 x) (/.f64 2 (sin.f64 x)))) |
(/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (*.f64 2 (*.f64 (sin.f64 x) 4)) (*.f64 2 (*.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4)))) |
(/.f64 (*.f64 2 (*.f64 (sin.f64 x) 4)) (*.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))) 4)) |
(/.f64 -2 (/.f64 (*.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) -1))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4) (*.f64 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 4) |
(/.f64 (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4)) (*.f64 2 (*.f64 (sin.f64 x) 4))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) 4) (+.f64 (neg.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))) (neg.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))))) |
(/.f64 (*.f64 2 (*.f64 2 (+.f64 (cos.f64 x) -1))) (*.f64 (neg.f64 (sin.f64 x)) 4)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) -2)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) 2))) |
(/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 2 (sin.f64 x))) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))) |
(/.f64 (*.f64 2 (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (*.f64 (sin.f64 x) 2)) |
(/.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 (cos.f64 x) -1)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) 2))) |
(/.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 2 (+.f64 (cos.f64 x) -1))) (/.f64 (*.f64 (sin.f64 x) -2) (*.f64 (sin.f64 x) 2))) |
(/.f64 (neg.f64 (*.f64 2 (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) -2)) |
(/.f64 (/.f64 -1 (sin.f64 x)) (/.f64 -1 (-.f64 1 (cos.f64 x)))) |
(/.f64 (+.f64 (*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) 8) |
(/.f64 (+.f64 (*.f64 (sin.f64 x) (/.f64 2 (sin.f64 x))) (*.f64 (sin.f64 x) (/.f64 2 (sin.f64 x)))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4)) |
(/.f64 (+.f64 (*.f64 2 (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (*.f64 2 (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) (*.f64 (sin.f64 x) 4)) |
(/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) -1) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4) (sin.f64 x)) 4) |
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) -1) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) 4) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) 4) |
(/.f64 (/.f64 (*.f64 2 (*.f64 (sin.f64 x) 4)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))) 4) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))) (sin.f64 x)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) 2)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (sin.f64 x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 2) (*.f64 (sin.f64 x) 1/2)) |
(/.f64 (/.f64 (*.f64 2 (+.f64 (cos.f64 x) -1)) (neg.f64 (sin.f64 x))) 2) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (sin.f64 x)) |
(/.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x))))) |
(/.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))) (*.f64 (sin.f64 x) 1/2)) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) 2) (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 2 (sin.f64 x))) 2) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (*.f64 2 (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) 2) (sin.f64 x)) |
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (sin.f64 x))) -1) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) 4)) (-.f64 0 (*.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4)))) |
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (/.f64 2 (sin.f64 x)))) (neg.f64 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (neg.f64 (*.f64 2 (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) (*.f64 (sin.f64 x) -2)) |
(pow.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1) |
(neg.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (neg.f64 (sin.f64 x)))) |
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 0) |
(+.f64 0 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) |
(-.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 0) |
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 2 (/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) 2) (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(/.f64 1/2 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(/.f64 1 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) |
(/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 2 (/.f64 1/2 (sin.f64 x)))) |
(/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 1) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))) 2) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 2 (+.f64 (cos.f64 x) -1)))) |
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))) |
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) -2)))) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4)) 4) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) (*.f64 2 (*.f64 2 (/.f64 1/2 (sin.f64 x))))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) (/.f64 2 (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) 4) (*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) -2) (*.f64 2 (*.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 2 (+.f64 (cos.f64 x) -1))))) |
(/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (*.f64 2 (/.f64 -1/2 (sin.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (*.f64 2 (-.f64 1 (cos.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4)) (*.f64 (-.f64 1 (cos.f64 x)) 4)) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) -2)) (*.f64 2 (+.f64 (cos.f64 x) -1))) |
(/.f64 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4))) 8) |
(/.f64 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 -1/4 (sin.f64 x))) (*.f64 2 (*.f64 2 (+.f64 (cos.f64 x) -1)))) |
(/.f64 (*.f64 (sin.f64 x) 1/2) (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x)))) (/.f64 1/2 (sin.f64 x))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) 2) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) -2))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) 2) (*.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 (cos.f64 x) -1))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) 2) (/.f64 -1/2 (sin.f64 x))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 2) 1/2) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) -2)) 2) (+.f64 (cos.f64 x) -1)) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 1) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(+.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 0) |
(+.f64 0 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(-.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 0) |
(-.f64 0 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) |
(*.f64 (sin.f64 x) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) 2))) |
(*.f64 2 (*.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x))))) |
(*.f64 2 (/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) 2))) |
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 1/2 (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (sin.f64 x) 2) (*.f64 1/2 (/.f64 1 (-.f64 1 (cos.f64 x))))) |
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))) |
(*.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) 2))) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x))) |
(*.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))) (/.f64 1/2 (sin.f64 x))) |
(*.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 (-.f64 1 (cos.f64 x)))) |
(*.f64 (neg.f64 (sin.f64 x)) (*.f64 -1 (/.f64 1 (-.f64 1 (cos.f64 x))))) |
(*.f64 -1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) 1/2) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))) |
(*.f64 4 (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 4))) |
(*.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 4))) |
(*.f64 (*.f64 (sin.f64 x) -2) (/.f64 1 (*.f64 2 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (sin.f64 x)) |
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) -1) |
(*.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2))) |
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) |
(*.f64 (*.f64 (sin.f64 x) 1/2) (/.f64 2 (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x)))) 2) |
(*.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2)) |
(*.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (neg.f64 (sin.f64 x))) |
(*.f64 (*.f64 1/2 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) 2)) |
(*.f64 (*.f64 -1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (neg.f64 (sin.f64 x))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) 2)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) 2)) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) 2)) 2) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) 2)) (sin.f64 x)) |
(*.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 1/2)) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 4)) 4) |
(*.f64 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 4)) (*.f64 (sin.f64 x) 4)) |
(*.f64 (/.f64 1 (*.f64 2 (+.f64 (cos.f64 x) -1))) (*.f64 (sin.f64 x) -2)) |
(*.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))) |
(pow.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1) |
(neg.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) |
| Outputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3))))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 17/40320 (pow.f64 x 7))))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 17/40320 (pow.f64 x 7))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
2 |
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2))) |
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))) |
(+.f64 2 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6))))) |
(+.f64 2 (+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (*.f64 -1/2 (pow.f64 x 2))))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x))) |
(/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 x))) |
(/.f64 2 x) |
(+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x))) |
(+.f64 (*.f64 x -1/6) (*.f64 2 (/.f64 1 x))) |
(+.f64 (*.f64 -1/360 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) |
(+.f64 (*.f64 x -1/6) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 (pow.f64 x 3) -1/360))) |
(+.f64 (*.f64 -1/360 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 x) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1/15120 (pow.f64 x 5))))) |
(+.f64 (*.f64 x -1/6) (+.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 (pow.f64 x 5) -1/15120)) (*.f64 (pow.f64 x 3) -1/360))) |
(+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (+.f64 (*.f64 x -1/6) (*.f64 (pow.f64 x 5) -1/15120)) (*.f64 (pow.f64 x 3) -1/360))) |
(+.f64 (*.f64 x -1/6) (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 (pow.f64 x 5) -1/15120) (*.f64 (pow.f64 x 3) -1/360)))) |
(+.f64 0 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(+.f64 (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(+.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(-.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 0) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 2 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 2 (/.f64 (*.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4)) (*.f64 (sin.f64 x) 2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 2 (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))) (sin.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 2 (/.f64 (*.f64 (sin.f64 x) 4) (*.f64 2 (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (*.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 1/2 (*.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 1/2 (/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) 2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 1/2 (/.f64 (sin.f64 x) (*.f64 2 (/.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 1 (/.f64 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) (/.f64 2 (sin.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) 2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 1/2 (sin.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (*.f64 2 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4)) (*.f64 (sin.f64 x) 2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 1/2 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
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(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4)) 4) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) (*.f64 2 (*.f64 2 (/.f64 1/2 (sin.f64 x))))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) (/.f64 2 (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) 4) (*.f64 4 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) -2) (*.f64 2 (*.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 2 (+.f64 (cos.f64 x) -1))))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) (*.f64 2 (/.f64 -1/2 (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (*.f64 2 (-.f64 1 (cos.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4)) (*.f64 (-.f64 1 (cos.f64 x)) 4)) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) -2)) (*.f64 2 (+.f64 (cos.f64 x) -1))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 4))) 8) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (*.f64 2 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 4))) (*.f64 2 (*.f64 (-.f64 1 (cos.f64 x)) 4))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 -1/4 (sin.f64 x))) (*.f64 2 (*.f64 2 (+.f64 (cos.f64 x) -1)))) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 -1/4 (sin.f64 x))) (*.f64 (+.f64 (cos.f64 x) -1) 4)) |
(/.f64 (/.f64 (sin.f64 x) (/.f64 -1/4 (sin.f64 x))) (*.f64 4 (+.f64 (cos.f64 x) -1))) |
(/.f64 (*.f64 (sin.f64 x) 1/2) (*.f64 1/2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (*.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x)))) (/.f64 1/2 (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) 2) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) -2))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) 2) (*.f64 (/.f64 1/2 (sin.f64 x)) (+.f64 (cos.f64 x) -1))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) 2) (/.f64 -1/2 (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) -1) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 2) 1/2) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) 2) (-.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) -2)) 2) (+.f64 (cos.f64 x) -1)) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 1) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(+.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 0) |
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) |
(+.f64 0 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 0) |
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) |
(-.f64 0 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) |
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) 2))) |
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) |
(*.f64 2 (*.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x))))) |
(*.f64 (sin.f64 x) (*.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) 2)) |
(*.f64 (sin.f64 x) (*.f64 2 (/.f64 1/2 (-.f64 1 (cos.f64 x))))) |
(*.f64 2 (/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) 2))) |
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) |
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 1/2 (-.f64 1 (cos.f64 x)))) |
(*.f64 (sin.f64 x) (*.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) 2)) |
(*.f64 (sin.f64 x) (*.f64 2 (/.f64 1/2 (-.f64 1 (cos.f64 x))))) |
(*.f64 (*.f64 (sin.f64 x) 2) (*.f64 1/2 (/.f64 1 (-.f64 1 (cos.f64 x))))) |
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) |
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2))) |
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) |
(*.f64 1/2 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))) |
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) |
(*.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1) |
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) 2))) |
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x))) |
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) |
(*.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))) (/.f64 1/2 (sin.f64 x))) |
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))))) |
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 (-.f64 1 (cos.f64 x)))) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (+.f64 (cos.f64 x) -1))) |
(/.f64 (sin.f64 (neg.f64 x)) (neg.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (neg.f64 (sin.f64 x)) (*.f64 -1 (/.f64 1 (-.f64 1 (cos.f64 x))))) |
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) |
(*.f64 -1 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) |
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) 1/2) |
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))) |
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) |
(*.f64 4 (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 4))) |
(*.f64 4 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1/4)) |
(*.f64 (*.f64 (sin.f64 x) 4) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 4))) |
(*.f64 (sin.f64 x) (*.f64 4 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 4)))) |
(*.f64 (sin.f64 x) (*.f64 4 (/.f64 1/4 (-.f64 1 (cos.f64 x))))) |
(*.f64 (*.f64 (sin.f64 x) -2) (/.f64 1 (*.f64 2 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (sin.f64 x) (*.f64 -2 (/.f64 1/2 (+.f64 (cos.f64 x) -1)))) |
(*.f64 -2 (*.f64 (/.f64 1/2 (+.f64 (cos.f64 x) -1)) (sin.f64 x))) |
(*.f64 -2 (*.f64 (sin.f64 x) (/.f64 1/2 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (sin.f64 x)) |
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1)) -1) |
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) |
(*.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2))) |
(*.f64 (sin.f64 x) (*.f64 (*.f64 (sin.f64 x) 2) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 2))))) |
(*.f64 (sin.f64 x) (*.f64 (*.f64 (sin.f64 x) 2) (/.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))))) |
(*.f64 (sin.f64 x) (*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2))) |
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) |
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) |
(*.f64 (*.f64 (sin.f64 x) 1/2) (/.f64 2 (-.f64 1 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) |
(*.f64 (*.f64 (sin.f64 x) (/.f64 1/2 (-.f64 1 (cos.f64 x)))) 2) |
(*.f64 (sin.f64 x) (*.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) 2)) |
(*.f64 (sin.f64 x) (*.f64 2 (/.f64 1/2 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2)) |
(*.f64 (sin.f64 x) (*.f64 (/.f64 1/2 (-.f64 1 (cos.f64 x))) 2)) |
(*.f64 (sin.f64 x) (*.f64 2 (/.f64 1/2 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 -1 (-.f64 1 (cos.f64 x))) (neg.f64 (sin.f64 x))) |
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (+.f64 (cos.f64 x) -1))) |
(/.f64 (sin.f64 (neg.f64 x)) (neg.f64 (-.f64 1 (cos.f64 x)))) |
(*.f64 (*.f64 1/2 (/.f64 1 (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) 2)) |
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) |
(*.f64 (*.f64 -1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (neg.f64 (sin.f64 x))) |
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) 2)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))) |
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) 2)) |
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) 2)) 2) |
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x)))) (*.f64 (sin.f64 x) 2)) (sin.f64 x)) |
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 1/2)) |
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) |
(*.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 4)) 4) |
(*.f64 4 (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) 4))) |
(*.f64 4 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1/4)) |
(*.f64 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 4)) (*.f64 (sin.f64 x) 4)) |
(*.f64 (sin.f64 x) (*.f64 4 (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) 4)))) |
(*.f64 (sin.f64 x) (*.f64 4 (/.f64 1/4 (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 1 (*.f64 2 (+.f64 (cos.f64 x) -1))) (*.f64 (sin.f64 x) -2)) |
(*.f64 (sin.f64 x) (*.f64 -2 (/.f64 1/2 (+.f64 (cos.f64 x) -1)))) |
(*.f64 -2 (*.f64 (/.f64 1/2 (+.f64 (cos.f64 x) -1)) (sin.f64 x))) |
(*.f64 -2 (*.f64 (sin.f64 x) (/.f64 1/2 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) 2))) |
(*.f64 (sin.f64 x) (*.f64 (*.f64 (sin.f64 x) 2) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 2))))) |
(*.f64 (sin.f64 x) (*.f64 (*.f64 (sin.f64 x) 2) (/.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))))) |
(*.f64 (sin.f64 x) (*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2))) |
(pow.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) 1) |
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) |
(neg.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) |
(/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (pow.f64 (-.f64 1 (cos.f64 x)) 2) | |
| 0.3b | (pow.f64 (sin.f64 x) 2) | |
| 2.2b | (-.f64 1 (cos.f64 x)) | |
| ✓ | 2.6b | (+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2)))) |
Compiled 91 to 60 computations (34.1% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2)))) |
| 0.0ms | x | @ | inf | (+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2)))) |
| 0.0ms | x | @ | -inf | (+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2)))) |
| 1× | batch-egg-rewrite |
| 1316× | exponential.json-3 |
| 1316× | rational.json-1 |
| 1316× | rational.json-2 |
| 1316× | rational.json-4 |
| 1316× | rational.json-3 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 27 |
| 1 | 89 | 23 |
| 2 | 187 | 21 |
| 3 | 384 | 11 |
| 4 | 779 | 11 |
| 5 | 1809 | 11 |
| 6 | 4014 | 11 |
| 7 | 6547 | 11 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 -1 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 2 (-.f64 2 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (sin.f64 x) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (sin.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -2 (-.f64 -2 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (pow.f64 (sin.f64 x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (pow.f64 (sin.f64 x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2) (*.f64 (pow.f64 (sin.f64 x) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 (sin.f64 x) 2) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (pow.f64 (sin.f64 x) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (pow.f64 (sin.f64 x) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 16 (pow.f64 (/.f64 (sin.f64 x) 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (pow.f64 (sin.f64 x) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 16) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sin.f64 x) 4) 2) 16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/16 (*.f64 (pow.f64 (sin.f64 x) 2) 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -8) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) -8)) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) -8))) -32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) -8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8))) (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8))) (neg.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8)))) -32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2)) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -4)) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -8)) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) -8))) (neg.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) -8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (sin.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 2))))))) |
| 1× | egg-herbie |
| 1828× | rational.json-simplify-1 |
| 1696× | rational.json-simplify-35 |
| 1368× | rational.json-simplify-53 |
| 1068× | rational.json-simplify-2 |
| 870× | rational.json-simplify-48 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 134 | 875 |
| 1 | 286 | 875 |
| 2 | 1054 | 875 |
| 3 | 2656 | 875 |
| 4 | 5032 | 875 |
| 5 | 5681 | 875 |
| 6 | 5956 | 875 |
| 7 | 6189 | 875 |
| 8 | 6454 | 875 |
| 9 | 7924 | 875 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 x 2) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2)) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(-.f64 -1 (-.f64 -1 (pow.f64 (sin.f64 x) 2))) |
(-.f64 1 (-.f64 1 (pow.f64 (sin.f64 x) 2))) |
(-.f64 2 (-.f64 2 (pow.f64 (sin.f64 x) 2))) |
(-.f64 (pow.f64 (sin.f64 x) 2) 0) |
(-.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) -2)) |
(-.f64 (+.f64 1 (pow.f64 (sin.f64 x) 2)) 1) |
(-.f64 0 (neg.f64 (pow.f64 (sin.f64 x) 2))) |
(-.f64 -2 (-.f64 -2 (pow.f64 (sin.f64 x) 2))) |
(-.f64 (+.f64 -1 (pow.f64 (sin.f64 x) 2)) -1) |
(-.f64 (+.f64 2 (pow.f64 (sin.f64 x) 2)) 2) |
(-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2) (*.f64 (pow.f64 (sin.f64 x) 2) -1/2)) |
(-.f64 (+.f64 (pow.f64 (sin.f64 x) 2) -2) -2) |
(*.f64 -1 (neg.f64 (pow.f64 (sin.f64 x) 2))) |
(*.f64 1 (pow.f64 (sin.f64 x) 2)) |
(*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2)) |
(*.f64 (pow.f64 (sin.f64 x) 2) 1) |
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1) |
(*.f64 4 (/.f64 (pow.f64 (sin.f64 x) 2) 4)) |
(*.f64 4 (*.f64 (pow.f64 (sin.f64 x) 2) 1/4)) |
(*.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 1/2) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 1/4) |
(*.f64 1/2 (*.f64 2 (pow.f64 (sin.f64 x) 2))) |
(*.f64 16 (pow.f64 (/.f64 (sin.f64 x) 4) 2)) |
(*.f64 1/4 (*.f64 (pow.f64 (sin.f64 x) 2) 4)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2) 2) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 4) 4) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/4) 4) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 16) 1/16) |
(*.f64 (pow.f64 (/.f64 (sin.f64 x) 4) 2) 16) |
(*.f64 1/16 (*.f64 (pow.f64 (sin.f64 x) 2) 16)) |
(/.f64 (pow.f64 (sin.f64 x) 2) 1) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1) |
(/.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 2) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2) -2) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 4) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -4) -4) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 8) 8) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -8) -8) |
(/.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8)) 16) |
(/.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) -8)) -16) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8))) 32) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) -8))) -32) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2)) 2) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -4)) 4) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -8)) 8) |
(/.f64 (neg.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8))) -16) |
(/.f64 (neg.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) -8))) 16) |
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8))) (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8)))) 64) |
(/.f64 (+.f64 (neg.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8))) (neg.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8)))) -32) |
(/.f64 (+.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2)) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2))) 4) |
(/.f64 (+.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -4)) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -4))) 8) |
(/.f64 (+.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -8)) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -8))) 16) |
(/.f64 (+.f64 (neg.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) -8))) (neg.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) -8)))) 32) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (pow.f64 (sin.f64 x) 2) 1) |
(pow.f64 (neg.f64 (sin.f64 x)) 2) |
(neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 2))) |
| Outputs |
|---|
(pow.f64 x 2) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (pow.f64 x 2)) |
(+.f64 (pow.f64 x 2) (*.f64 -1/3 (pow.f64 x 4))) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2))) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (*.f64 2/45 (pow.f64 x 6)))) |
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/3 (pow.f64 x 4)) (*.f64 2/45 (pow.f64 x 6)))) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (pow.f64 x 2)))) |
(+.f64 (*.f64 -1/3 (pow.f64 x 4)) (+.f64 (+.f64 (pow.f64 x 2) (*.f64 2/45 (pow.f64 x 6))) (*.f64 -1/315 (pow.f64 x 8)))) |
(+.f64 (+.f64 (pow.f64 x 2) (*.f64 2/45 (pow.f64 x 6))) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (*.f64 -1/3 (pow.f64 x 4)))) |
(+.f64 (+.f64 (pow.f64 x 2) (*.f64 -1/3 (pow.f64 x 4))) (+.f64 (*.f64 2/45 (pow.f64 x 6)) (*.f64 -1/315 (pow.f64 x 8)))) |
(+.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/315 (pow.f64 x 8)) (+.f64 (*.f64 -1/3 (pow.f64 x 4)) (*.f64 2/45 (pow.f64 x 6))))) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(-.f64 -1 (-.f64 -1 (pow.f64 (sin.f64 x) 2))) |
(pow.f64 (sin.f64 x) 2) |
(-.f64 1 (-.f64 1 (pow.f64 (sin.f64 x) 2))) |
(pow.f64 (sin.f64 x) 2) |
(-.f64 2 (-.f64 2 (pow.f64 (sin.f64 x) 2))) |
(pow.f64 (sin.f64 x) 2) |
(-.f64 (pow.f64 (sin.f64 x) 2) 0) |
(pow.f64 (sin.f64 x) 2) |
(-.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) -2)) |
(pow.f64 (sin.f64 x) 2) |
(-.f64 (+.f64 1 (pow.f64 (sin.f64 x) 2)) 1) |
(pow.f64 (sin.f64 x) 2) |
(-.f64 0 (neg.f64 (pow.f64 (sin.f64 x) 2))) |
(pow.f64 (sin.f64 x) 2) |
(-.f64 -2 (-.f64 -2 (pow.f64 (sin.f64 x) 2))) |
(pow.f64 (sin.f64 x) 2) |
(-.f64 (+.f64 -1 (pow.f64 (sin.f64 x) 2)) -1) |
(pow.f64 (sin.f64 x) 2) |
(-.f64 (+.f64 2 (pow.f64 (sin.f64 x) 2)) 2) |
(pow.f64 (sin.f64 x) 2) |
(-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2) (*.f64 (pow.f64 (sin.f64 x) 2) -1/2)) |
(pow.f64 (sin.f64 x) 2) |
(-.f64 (+.f64 (pow.f64 (sin.f64 x) 2) -2) -2) |
(pow.f64 (sin.f64 x) 2) |
(*.f64 -1 (neg.f64 (pow.f64 (sin.f64 x) 2))) |
(pow.f64 (sin.f64 x) 2) |
(*.f64 1 (pow.f64 (sin.f64 x) 2)) |
(pow.f64 (sin.f64 x) 2) |
(*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2)) |
(pow.f64 (sin.f64 x) 2) |
(*.f64 (pow.f64 (sin.f64 x) 2) 1) |
(pow.f64 (sin.f64 x) 2) |
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1) |
(pow.f64 (sin.f64 x) 2) |
(*.f64 4 (/.f64 (pow.f64 (sin.f64 x) 2) 4)) |
(pow.f64 (sin.f64 x) 2) |
(*.f64 4 (*.f64 (pow.f64 (sin.f64 x) 2) 1/4)) |
(pow.f64 (sin.f64 x) 2) |
(*.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 1/2) |
(pow.f64 (sin.f64 x) 2) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 1/4) |
(pow.f64 (sin.f64 x) 2) |
(*.f64 1/2 (*.f64 2 (pow.f64 (sin.f64 x) 2))) |
(pow.f64 (sin.f64 x) 2) |
(*.f64 16 (pow.f64 (/.f64 (sin.f64 x) 4) 2)) |
(*.f64 1/4 (*.f64 (pow.f64 (sin.f64 x) 2) 4)) |
(pow.f64 (sin.f64 x) 2) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/2) 2) |
(pow.f64 (sin.f64 x) 2) |
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 4) 4) |
(pow.f64 (sin.f64 x) 2) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1/4) 4) |
(pow.f64 (sin.f64 x) 2) |
(*.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 16) 1/16) |
(pow.f64 (sin.f64 x) 2) |
(*.f64 (pow.f64 (/.f64 (sin.f64 x) 4) 2) 16) |
(*.f64 16 (pow.f64 (/.f64 (sin.f64 x) 4) 2)) |
(*.f64 1/16 (*.f64 (pow.f64 (sin.f64 x) 2) 16)) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (pow.f64 (sin.f64 x) 2) 1) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) -1) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (*.f64 2 (pow.f64 (sin.f64 x) 2)) 2) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2) -2) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 4) 4) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -4) -4) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 8) 8) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -8) -8) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8)) 16) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) -8)) -16) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8))) 32) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) -8))) -32) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2)) 2) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -4)) 4) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -8)) 8) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (neg.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8))) -16) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (neg.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) -8))) 16) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8))) (*.f64 2 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8)))) 64) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (+.f64 (neg.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8))) (neg.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) 8)))) -32) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (+.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2)) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -2))) 4) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (+.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -4)) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -4))) 8) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (+.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -8)) (neg.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -8))) 16) |
(pow.f64 (sin.f64 x) 2) |
(/.f64 (+.f64 (neg.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) -8))) (neg.f64 (*.f64 2 (*.f64 (pow.f64 (sin.f64 x) 2) -8)))) 32) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (pow.f64 (sin.f64 x) 2) 1) |
(pow.f64 (sin.f64 x) 2) |
(pow.f64 (neg.f64 (sin.f64 x)) 2) |
(pow.f64 (sin.f64 x) 2) |
(neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 2))) |
(pow.f64 (sin.f64 x) 2) |
Compiled 18740 to 12991 computations (30.7% saved)
42 alts after pruning (32 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 964 | 11 | 975 |
| Fresh | 8 | 21 | 29 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 10 | 12 |
| Total | 975 | 42 | 1017 |
| Status | Error | Program |
|---|---|---|
| ✓ | 33.7b | (/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x))) |
| 33.7b | (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) | |
| 32.0b | (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) | |
| 33.7b | (/.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 -1 (+.f64 (cos.f64 x) -1)))) | |
| ✓ | 31.9b | (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (/.f64 1/2 (sin.f64 x)))) |
| 33.0b | (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)) (sin.f64 x)))) | |
| 33.7b | (/.f64 (-.f64 1 (cos.f64 x)) (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 x))))) | |
| 33.0b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))) 2)) | |
| 33.0b | (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) | |
| ✓ | 31.9b | (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
| 32.1b | (/.f64 (-.f64 -1 (+.f64 (cos.f64 x) -2)) (sin.f64 x)) | |
| 31.9b | (/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (sin.f64 x) (/.f64 2 (sin.f64 x)))) | |
| 31.9b | (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) | |
| 31.9b | (/.f64 2 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))) | |
| 31.9b | (/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) | |
| 33.7b | (/.f64 -1 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) | |
| 32.0b | (-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) | |
| 31.9b | (-.f64 1 (+.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) | |
| 32.0b | (-.f64 -2 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2)) | |
| 60.3b | (-.f64 -2 (+.f64 (*.f64 -1/2 x) -2)) | |
| ✓ | 30.6b | (+.f64 (*.f64 x 1/2) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) |
| ✓ | 30.4b | (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) |
| ✓ | 32.0b | (+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
| 61.0b | (+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 -1/2 x)))) -1)) | |
| ✓ | 61.3b | (+.f64 -1 1) |
| 33.1b | (*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (/.f64 1 (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x))))) | |
| 34.0b | (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (-.f64 (+.f64 (pow.f64 (sin.f64 x) 2) -2) -2))) | |
| 33.9b | (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (-.f64 (+.f64 -1 (pow.f64 (sin.f64 x) 2)) -1))) | |
| 33.7b | (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))) | |
| 33.9b | (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (/.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))) | |
| 33.7b | (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))))) | |
| 33.7b | (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))) | |
| 34.0b | (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (+.f64 -1 (-.f64 1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (pow.f64 (sin.f64 x) 2)))))) | |
| 33.8b | (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) | |
| 33.8b | (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1/2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) | |
| 31.9b | (*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x))) | |
| 33.1b | (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))))) | |
| ✓ | 31.9b | (*.f64 (*.f64 (sin.f64 x) 2) (/.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
| 33.0b | (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))) | |
| 33.8b | (*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (-.f64 1 (cos.f64 x)))))) | |
| ✓ | 24.5b | (*.f64 (sin.f64 x) 1/2) |
| ✓ | 29.8b | (*.f64 1/2 x) |
Compiled 895 to 599 computations (33.1% saved)
| Inputs |
|---|
(*.f64 1/2 x) |
(+.f64 -1 1) |
(-.f64 -2 (+.f64 (*.f64 -1/2 x) -2)) |
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (*.f64 -1/2 x))) -1)) |
(*.f64 (sin.f64 x) 1/2) |
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 -1/2 x)))) -1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 -1 (+.f64 (cos.f64 x) -2)) (sin.f64 x)) |
(*.f64 (/.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 1/4) |
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(-.f64 -2 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2)) |
(-.f64 1 (+.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(/.f64 -1 (*.f64 (sin.f64 x) (/.f64 -1 (-.f64 1 (cos.f64 x))))) |
(/.f64 2 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (/.f64 1/2 (sin.f64 x)))) |
(/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 x))))) |
(*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x))) |
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1)) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) |
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) |
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2))) |
(/.f64 (sin.f64 x) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) |
(*.f64 (sin.f64 x) (neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x)))) |
(*.f64 (sin.f64 x) (*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x)))) |
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (/.f64 1 (*.f64 (sin.f64 x) (sin.f64 x))))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (*.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) |
(*.f64 (sin.f64 x) (+.f64 -1 (-.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (sin.f64 x))))) |
(*.f64 (*.f64 (sin.f64 x) 2) (/.f64 1/2 (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (/.f64 1 (sin.f64 x)))) (/.f64 1 (sin.f64 x))) |
(/.f64 (*.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (*.f64 (sin.f64 x) (/.f64 2 (sin.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (sin.f64 x)) (sin.f64 x)))) |
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x)) (/.f64 1 (/.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (/.f64 1 (sin.f64 x)) (sin.f64 x))) 2)) |
(+.f64 -1 (-.f64 1 (/.f64 (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) -1))) (+.f64 (cos.f64 x) -1)))) |
(/.f64 (/.f64 -1 (+.f64 (cos.f64 x) -1)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 -1 (+.f64 (cos.f64 x) -1)))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))) |
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (-.f64 1 (cos.f64 x)))))) |
(*.f64 (sin.f64 x) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (+.f64 (cos.f64 x) -1) (/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x))))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (-.f64 (+.f64 -1 (pow.f64 (sin.f64 x) 2)) -1))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (-.f64 (+.f64 (pow.f64 (sin.f64 x) 2) -2) -2))) |
(/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (sin.f64 x)) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (+.f64 -1 (-.f64 1 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (neg.f64 (pow.f64 (sin.f64 x) 2)))))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) (+.f64 -1 (-.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2)))))) |
(*.f64 (sin.f64 x) (/.f64 1 (*.f64 (-.f64 1 (cos.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))) (sin.f64 x)) |
(/.f64 -1 (*.f64 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(/.f64 (sin.f64 x) (/.f64 1 (*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))))) |
(/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x))) |
(*.f64 (sin.f64 x) (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) 1/2)) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 2)) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 (/.f64 (sin.f64 x) (sin.f64 x)) (-.f64 1 (cos.f64 x))))))) |
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) (*.f64 (sin.f64 x) (*.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x)))) (/.f64 1 (-.f64 1 (cos.f64 x)))))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 2 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 2 (sin.f64 x))))))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 1/2 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 1 (cos.f64 x)) 2)))) (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 2 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 (-.f64 1 (cos.f64 x)) (-.f64 1 (cos.f64 x))))))) (*.f64 (/.f64 1 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))))) |
(*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (/.f64 1 (/.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))) (/.f64 (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x)))))) (*.f64 (sin.f64 x) (/.f64 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))) (-.f64 1 (cos.f64 x))))))) |
| Outputs |
|---|
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) |
(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
2 calls:
| 78.0ms | x |
| 41.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.6b | 3 | x |
| 0.6b | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
Compiled 1503 to 842 computations (44% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.000973805533893612 | 0.001893126249066911 |
| 0.0ms | -0.012825457001318574 | -0.0 |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
(*.f64 1/2 x) |
(+.f64 -1 1) |
(-.f64 -2 (+.f64 (*.f64 -1/2 x) -2)) |
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (*.f64 -1/2 x))) -1)) |
(*.f64 (sin.f64 x) 1/2) |
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 -1/2 x)))) -1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 -1 (+.f64 (cos.f64 x) -2)) (sin.f64 x)) |
(*.f64 (/.f64 4 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) 1/4) |
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(-.f64 -2 (+.f64 (/.f64 (+.f64 -1 (cos.f64 x)) (sin.f64 x)) -2)) |
(-.f64 1 (+.f64 1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) |
(/.f64 -1 (*.f64 (sin.f64 x) (/.f64 -1 (-.f64 1 (cos.f64 x))))) |
(/.f64 2 (*.f64 (sin.f64 x) (/.f64 2 (-.f64 1 (cos.f64 x))))) |
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (/.f64 1/2 (sin.f64 x)))) |
(/.f64 (/.f64 1 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x)))) |
(/.f64 (-.f64 1 (cos.f64 x)) (+.f64 -1 (-.f64 1 (neg.f64 (sin.f64 x))))) |
(*.f64 (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x)))) (/.f64 1 (sin.f64 x))) |
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (/.f64 (+.f64 (cos.f64 x) -1) (sin.f64 x)))) -1)) |
| Outputs |
|---|
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) |
(/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))) |
2 calls:
| 29.0ms | x |
| 18.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.6b | 3 | x |
| 0.6b | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
Compiled 227 to 157 computations (30.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.000973805533893612 | 0.001893126249066911 |
| 0.0ms | -0.012825457001318574 | -0.0 |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
(*.f64 1/2 x) |
(+.f64 -1 1) |
(-.f64 -2 (+.f64 (*.f64 -1/2 x) -2)) |
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (*.f64 -1/2 x))) -1)) |
(*.f64 (sin.f64 x) 1/2) |
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 -1/2 x)))) -1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
| Outputs |
|---|
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) |
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x))) |
2 calls:
| 15.0ms | x |
| 10.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.6b | 3 | x |
| 0.6b | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
Compiled 81 to 63 computations (22.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.000973805533893612 | 0.001893126249066911 |
| 0.0ms | -0.012825457001318574 | -0.0 |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
(*.f64 1/2 x) |
(+.f64 -1 1) |
(-.f64 -2 (+.f64 (*.f64 -1/2 x) -2)) |
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (*.f64 -1/2 x))) -1)) |
(*.f64 (sin.f64 x) 1/2) |
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 -1/2 x)))) -1)) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
| Outputs |
|---|
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) |
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
2 calls:
| 18.0ms | x |
| 10.0ms | (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.6b | 3 | x |
| 0.6b | 3 | (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) |
Compiled 72 to 58 computations (19.4% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.000973805533893612 | 0.001893126249066911 |
| 0.0ms | -0.012825457001318574 | -0.0 |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
(*.f64 1/2 x) |
(+.f64 -1 1) |
(-.f64 -2 (+.f64 (*.f64 -1/2 x) -2)) |
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (*.f64 -1/2 x))) -1)) |
(*.f64 (sin.f64 x) 1/2) |
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) |
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (+.f64 (*.f64 -1/24 (pow.f64 x 3)) (*.f64 -1/2 x)))) -1)) |
| Outputs |
|---|
(*.f64 (sin.f64 x) 1/2) |
1 calls:
| 5.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 24.5b | 1 | x |
Compiled 57 to 48 computations (15.8% saved)
Total -31.8b remaining (-106.7%)
Threshold costs -31.8b (-106.7%)
| Inputs |
|---|
(*.f64 1/2 x) |
(+.f64 -1 1) |
(-.f64 -2 (+.f64 (*.f64 -1/2 x) -2)) |
(+.f64 -1 (+.f64 (-.f64 1 (+.f64 -1 (*.f64 -1/2 x))) -1)) |
| Outputs |
|---|
(*.f64 1/2 x) |
1 calls:
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 29.8b | 1 | x |
Compiled 27 to 23 computations (14.8% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 554 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/576460752303423488) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1152921504606847/1152921504606846976) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) (/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/576460752303423488) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1152921504606847/1152921504606846976) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) (/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/576460752303423488) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1152921504606847/1152921504606846976) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) (*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x))))) |
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/576460752303423488) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1152921504606847/1152921504606846976) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(*.f64 (sin.f64 x) 1/2) |
(*.f64 1/2 x) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/576460752303423488) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1152921504606847/1152921504606846976) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/24 (pow.f64 x 3)) (*.f64 1/240 (pow.f64 x 5)))) (/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/576460752303423488) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1152921504606847/1152921504606846976) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) (/.f64 1 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x)))))) |
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/576460752303423488) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1152921504606847/1152921504606846976) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) (*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x))))) |
(if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) -5764607523034235/576460752303423488) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) (if (<=.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 1152921504606847/1152921504606846976) (+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3))) (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) |
(*.f64 (sin.f64 x) 1/2) |
(*.f64 1/2 x) |
Compiled 197 to 130 computations (34% saved)
| 1× | egg-herbie |
| 1296× | rational.json-simplify-35 |
| 1002× | rational.json-simplify-39 |
| 900× | rational.json-simplify-2 |
| 726× | rational.json-simplify-1 |
| 660× | exponential.json-simplify-26 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 230 | 3147 |
| 1 | 488 | 3127 |
| 2 | 1865 | 3007 |
| 3 | 4273 | 3007 |
| 4 | 7239 | 3007 |
| 1× | node limit |
Compiled 31 to 25 computations (19.4% saved)
Compiled 192 to 118 computations (38.5% saved)
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