Time bar (total: 8.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 80% | 74.9% | 18.7% | 0.1% | 6.2% | 0% | 0% | 6 |
| 80% | 74.9% | 18.7% | 0.1% | 6.2% | 0% | 0% | 7 |
| 82.8% | 74.9% | 15.6% | 0.1% | 9.4% | 0% | 0% | 8 |
| 82.8% | 74.9% | 15.6% | 0.1% | 9.4% | 0% | 0% | 9 |
| 84.2% | 74.9% | 14% | 0.1% | 10.9% | 0% | 0% | 10 |
| 84.2% | 74.9% | 14% | 0.1% | 10.9% | 0% | 0% | 11 |
| 85% | 74.9% | 13.3% | 0.1% | 11.7% | 0% | 0% | 12 |
Compiled 8 to 6 computations (25% saved)
| 941.0ms | 6149× | body | 256 | valid |
| 686.0ms | 1389× | body | 1024 | valid |
| 415.0ms | 681× | body | 1024 | infinite |
| 361.0ms | 375× | body | 512 | infinite |
| 252.0ms | 712× | body | 512 | valid |
| 163.0ms | 418× | body | 256 | infinite |
| 3.0ms | 6× | body | 2048 | valid |
| 2× | egg-herbie |
| 1296× | rational.json-simplify-46 |
| 1254× | rational.json-simplify-59 |
| 1114× | rational.json-simplify-35 |
| 944× | rational.json-simplify-1 |
| 772× | rational.json-simplify-42 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 30 |
| 1 | 17 | 30 |
| 2 | 29 | 30 |
| 3 | 47 | 30 |
| 4 | 87 | 30 |
| 5 | 160 | 30 |
| 6 | 369 | 30 |
| 7 | 875 | 30 |
| 8 | 2078 | 30 |
| 9 | 2941 | 30 |
| 10 | 4143 | 30 |
| 11 | 6766 | 30 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(*.f64 (exp.f64 re) (cos.f64 im)) |
(*.f64 (exp.f64 im) (cos.f64 re)) |
| Outputs |
|---|
(*.f64 (exp.f64 re) (cos.f64 im)) |
(*.f64 (exp.f64 im) (cos.f64 re)) |
Compiled 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
| 2524× | rational.json-simplify-42 |
| 2160× | rational.json-simplify-35 |
| 2098× | rational.json-simplify-45 |
| 1716× | rational.json-simplify-1 |
| 1044× | rational.json-simplify-41 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 15 |
| 1 | 11 | 15 |
| 2 | 18 | 15 |
| 3 | 28 | 15 |
| 4 | 52 | 15 |
| 5 | 93 | 15 |
| 6 | 208 | 15 |
| 7 | 479 | 15 |
| 8 | 1122 | 15 |
| 9 | 2615 | 15 |
| 10 | 3528 | 15 |
| 11 | 4109 | 15 |
| 12 | 4656 | 15 |
| 13 | 4962 | 15 |
| 14 | 5082 | 15 |
| 15 | 5203 | 15 |
| 16 | 5513 | 15 |
| 17 | 5642 | 15 |
| 18 | 5758 | 15 |
| 19 | 5885 | 15 |
| 20 | 5999 | 15 |
| 21 | 6113 | 15 |
| 22 | 6227 | 15 |
| 23 | 6227 | 15 |
| 24 | 6227 | 15 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (exp.f64 re) (cos.f64 im)) |
| Outputs |
|---|
(*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 7 to 5 computations (28.6% 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 |
|---|---|---|
| ▶ | 0.0b | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 7 to 5 computations (28.6% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (exp.f64 re) (cos.f64 im)) |
Compiled 13 to 5 computations (61.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | re | @ | inf | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 0.0ms | im | @ | 0 | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 0.0ms | re | @ | 0 | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 0.0ms | re | @ | -inf | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 0.0ms | im | @ | inf | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 1× | batch-egg-rewrite |
| 1746× | rational.json-simplify-35 |
| 1468× | rational.json-1 |
| 1468× | rational.json-2 |
| 1468× | rational.json-4 |
| 1468× | rational.json-3 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 15 |
| 1 | 53 | 15 |
| 2 | 125 | 15 |
| 3 | 281 | 15 |
| 4 | 533 | 15 |
| 5 | 1196 | 15 |
| 6 | 2429 | 15 |
| 7 | 3946 | 15 |
| 8 | 5216 | 15 |
| 9 | 7196 | 15 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (exp.f64 re) (cos.f64 im)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (exp.f64 re) (cos.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 re) (*.f64 (cos.f64 im) 1/2)) (*.f64 (exp.f64 re) (*.f64 (cos.f64 im) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 re) (*.f64 (cos.f64 im) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 re) (*.f64 (cos.f64 im) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 re) (*.f64 (cos.f64 im) 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (exp.f64 re) 2) (*.f64 (cos.f64 im) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (exp.f64 re) 2) (*.f64 (cos.f64 im) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (exp.f64 re) 2) (*.f64 (cos.f64 im) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (exp.f64 re) 2) (*.f64 (cos.f64 im) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (exp.f64 re) 2) (*.f64 (cos.f64 im) 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (exp.f64 re) 2) (*.f64 (cos.f64 im) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 1))))) |
| 1× | egg-herbie |
| 2214× | rational.json-simplify-2 |
| 1876× | rational.json-simplify-35 |
| 1574× | rational.json-simplify-1 |
| 1182× | rational.json-simplify-42 |
| 926× | rational.json-simplify-43 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 550 |
| 1 | 192 | 550 |
| 2 | 383 | 510 |
| 3 | 820 | 490 |
| 4 | 2483 | 490 |
| 5 | 4556 | 490 |
| 6 | 5126 | 490 |
| 7 | 5290 | 490 |
| 8 | 5423 | 490 |
| 9 | 5575 | 490 |
| 10 | 5740 | 490 |
| 11 | 6622 | 490 |
| 12 | 7124 | 490 |
| 13 | 7479 | 490 |
| 14 | 7638 | 490 |
| 15 | 7644 | 490 |
| 16 | 7649 | 490 |
| 1× | node limit |
| Inputs |
|---|
(cos.f64 im) |
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)) |
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))) |
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 im) (pow.f64 re 3))) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))) |
(exp.f64 re) |
(+.f64 (*.f64 -1/2 (*.f64 (exp.f64 re) (pow.f64 im 2))) (exp.f64 re)) |
(+.f64 (*.f64 -1/2 (*.f64 (exp.f64 re) (pow.f64 im 2))) (+.f64 (*.f64 1/24 (*.f64 (exp.f64 re) (pow.f64 im 4))) (exp.f64 re))) |
(+.f64 (*.f64 -1/2 (*.f64 (exp.f64 re) (pow.f64 im 2))) (+.f64 (*.f64 1/24 (*.f64 (exp.f64 re) (pow.f64 im 4))) (+.f64 (exp.f64 re) (*.f64 -1/720 (*.f64 (exp.f64 re) (pow.f64 im 6)))))) |
(+.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 0) |
(+.f64 0 (*.f64 (exp.f64 re) (cos.f64 im))) |
(+.f64 (*.f64 (exp.f64 re) (*.f64 (cos.f64 im) 1/2)) (*.f64 (exp.f64 re) (*.f64 (cos.f64 im) 1/2))) |
(-.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 0) |
(/.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 1) |
(/.f64 (*.f64 (exp.f64 re) (*.f64 (cos.f64 im) 2)) 2) |
(/.f64 (*.f64 (exp.f64 re) (*.f64 (cos.f64 im) 4)) 4) |
(/.f64 (*.f64 (exp.f64 re) (*.f64 (cos.f64 im) 8)) 8) |
(/.f64 (*.f64 (*.f64 (exp.f64 re) 2) (*.f64 (cos.f64 im) 8)) 16) |
(/.f64 (*.f64 2 (*.f64 (*.f64 (exp.f64 re) 2) (*.f64 (cos.f64 im) 8))) 32) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (exp.f64 re) 2) (*.f64 (cos.f64 im) 8)))) 64) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (exp.f64 re) 2) (*.f64 (cos.f64 im) 8))))) 128) |
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (exp.f64 re) 2) (*.f64 (cos.f64 im) 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (exp.f64 re) 2) (*.f64 (cos.f64 im) 8)))))) 256) |
(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 1) |
| Outputs |
|---|
(cos.f64 im) |
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)) |
(+.f64 (cos.f64 im) (*.f64 (cos.f64 im) re)) |
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))) |
(+.f64 (*.f64 (cos.f64 im) re) (+.f64 (cos.f64 im) (*.f64 (cos.f64 im) (*.f64 (pow.f64 re 2) 1/2)))) |
(+.f64 (*.f64 (cos.f64 im) re) (+.f64 (cos.f64 im) (*.f64 (pow.f64 re 2) (*.f64 (cos.f64 im) 1/2)))) |
(+.f64 (cos.f64 im) (*.f64 (cos.f64 im) (+.f64 (*.f64 1/2 (pow.f64 re 2)) re))) |
(+.f64 (cos.f64 im) (*.f64 (cos.f64 im) (+.f64 re (*.f64 1/2 (pow.f64 re 2))))) |
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 im) (pow.f64 re 3))) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))) |
(+.f64 (*.f64 (cos.f64 im) (*.f64 (pow.f64 re 2) 1/2)) (+.f64 (+.f64 (cos.f64 im) (*.f64 (cos.f64 im) re)) (*.f64 1/6 (*.f64 (cos.f64 im) (pow.f64 re 3))))) |
(+.f64 (*.f64 (cos.f64 im) re) (+.f64 (+.f64 (cos.f64 im) (*.f64 (pow.f64 re 2) (*.f64 (cos.f64 im) 1/2))) (*.f64 (pow.f64 re 3) (*.f64 1/6 (cos.f64 im))))) |
(+.f64 (cos.f64 im) (+.f64 (*.f64 (cos.f64 im) (+.f64 (*.f64 1/2 (pow.f64 re 2)) re)) (*.f64 1/6 (*.f64 (cos.f64 im) (pow.f64 re 3))))) |
(+.f64 (cos.f64 im) (*.f64 (cos.f64 im) (+.f64 (*.f64 1/6 (pow.f64 re 3)) (+.f64 re (*.f64 1/2 (pow.f64 re 2)))))) |
(+.f64 (cos.f64 im) (*.f64 (cos.f64 im) (+.f64 re (+.f64 (*.f64 1/6 (pow.f64 re 3)) (*.f64 1/2 (pow.f64 re 2)))))) |
(exp.f64 re) |
(+.f64 (*.f64 -1/2 (*.f64 (exp.f64 re) (pow.f64 im 2))) (exp.f64 re)) |
(+.f64 (exp.f64 re) (*.f64 -1/2 (*.f64 (exp.f64 re) (pow.f64 im 2)))) |
(+.f64 (exp.f64 re) (*.f64 (exp.f64 re) (*.f64 -1/2 (pow.f64 im 2)))) |
(+.f64 (exp.f64 re) (*.f64 (pow.f64 im 2) (*.f64 (exp.f64 re) -1/2))) |
(+.f64 (*.f64 -1/2 (*.f64 (exp.f64 re) (pow.f64 im 2))) (+.f64 (*.f64 1/24 (*.f64 (exp.f64 re) (pow.f64 im 4))) (exp.f64 re))) |
(+.f64 (*.f64 -1/2 (*.f64 (exp.f64 re) (pow.f64 im 2))) (+.f64 (exp.f64 re) (*.f64 (exp.f64 re) (*.f64 (pow.f64 im 4) 1/24)))) |
(+.f64 (+.f64 (exp.f64 re) (*.f64 (exp.f64 re) (*.f64 -1/2 (pow.f64 im 2)))) (*.f64 (exp.f64 re) (*.f64 1/24 (pow.f64 im 4)))) |
(+.f64 (exp.f64 re) (*.f64 (exp.f64 re) (+.f64 (*.f64 1/24 (pow.f64 im 4)) (*.f64 -1/2 (pow.f64 im 2))))) |
(+.f64 (*.f64 -1/2 (*.f64 (exp.f64 re) (pow.f64 im 2))) (+.f64 (*.f64 1/24 (*.f64 (exp.f64 re) (pow.f64 im 4))) (+.f64 (exp.f64 re) (*.f64 -1/720 (*.f64 (exp.f64 re) (pow.f64 im 6)))))) |
(+.f64 (*.f64 -1/2 (*.f64 (exp.f64 re) (pow.f64 im 2))) (+.f64 (exp.f64 re) (+.f64 (*.f64 (exp.f64 re) (*.f64 (pow.f64 im 6) -1/720)) (*.f64 (exp.f64 re) (*.f64 (pow.f64 im 4) 1/24))))) |
(+.f64 (*.f64 (exp.f64 re) (*.f64 -1/2 (pow.f64 im 2))) (+.f64 (exp.f64 re) (+.f64 (*.f64 (exp.f64 re) (*.f64 1/24 (pow.f64 im 4))) (*.f64 (exp.f64 re) (*.f64 -1/720 (pow.f64 im 6)))))) |
(+.f64 (*.f64 -1/2 (*.f64 (exp.f64 re) (pow.f64 im 2))) (+.f64 (exp.f64 re) (*.f64 (exp.f64 re) (+.f64 (*.f64 -1/720 (pow.f64 im 6)) (*.f64 1/24 (pow.f64 im 4)))))) |
(+.f64 (exp.f64 re) (*.f64 (exp.f64 re) (+.f64 (*.f64 -1/2 (pow.f64 im 2)) (+.f64 (*.f64 -1/720 (pow.f64 im 6)) (*.f64 1/24 (pow.f64 im 4)))))) |
(+.f64 (exp.f64 re) (*.f64 (exp.f64 re) (+.f64 (*.f64 -1/720 (pow.f64 im 6)) (+.f64 (*.f64 1/24 (pow.f64 im 4)) (*.f64 -1/2 (pow.f64 im 2)))))) |
(+.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 0) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(+.f64 0 (*.f64 (exp.f64 re) (cos.f64 im))) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(+.f64 (*.f64 (exp.f64 re) (*.f64 (cos.f64 im) 1/2)) (*.f64 (exp.f64 re) (*.f64 (cos.f64 im) 1/2))) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(-.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 0) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(/.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 1) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(/.f64 (*.f64 (exp.f64 re) (*.f64 (cos.f64 im) 2)) 2) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(/.f64 (*.f64 (exp.f64 re) (*.f64 (cos.f64 im) 4)) 4) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(/.f64 (*.f64 (exp.f64 re) (*.f64 (cos.f64 im) 8)) 8) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(/.f64 (*.f64 (*.f64 (exp.f64 re) 2) (*.f64 (cos.f64 im) 8)) 16) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(/.f64 (*.f64 2 (*.f64 (*.f64 (exp.f64 re) 2) (*.f64 (cos.f64 im) 8))) 32) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (exp.f64 re) 2) (*.f64 (cos.f64 im) 8)))) 64) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (exp.f64 re) 2) (*.f64 (cos.f64 im) 8))))) 128) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (exp.f64 re) 2) (*.f64 (cos.f64 im) 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (exp.f64 re) 2) (*.f64 (cos.f64 im) 8)))))) 256) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 1) |
(*.f64 (cos.f64 im) (exp.f64 re)) |
Compiled 680 to 388 computations (42.9% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 41 | 3 | 44 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 41 | 4 | 45 |
| Status | Error | Program |
|---|---|---|
| ▶ | 20.1b | (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)) |
| ✓ | 0.0b | (*.f64 (exp.f64 re) (cos.f64 im)) |
| ▶ | 22.9b | (exp.f64 re) |
| ▶ | 20.6b | (cos.f64 im) |
Compiled 24 to 16 computations (33.3% saved)
Compiled 5 to 3 computations (40% saved)
Compiled 5 to 3 computations (40% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)) |
| ✓ | 0.1b | (*.f64 (cos.f64 im) re) |
Compiled 17 to 5 computations (70.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 43.0ms | re | @ | inf | (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)) |
| 1.0ms | re | @ | 0 | (*.f64 (cos.f64 im) re) |
| 0.0ms | im | @ | 0 | (*.f64 (cos.f64 im) re) |
| 0.0ms | re | @ | inf | (*.f64 (cos.f64 im) re) |
| 0.0ms | re | @ | -inf | (*.f64 (cos.f64 im) re) |
| 1× | batch-egg-rewrite |
| 1546× | rational.json-1 |
| 1546× | rational.json-2 |
| 1546× | rational.json-4 |
| 1546× | rational.json-3 |
| 1398× | rational.json-simplify-35 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 32 |
| 1 | 54 | 28 |
| 2 | 126 | 28 |
| 3 | 286 | 28 |
| 4 | 576 | 28 |
| 5 | 1358 | 28 |
| 6 | 3092 | 28 |
| 7 | 5402 | 28 |
| 8 | 6964 | 28 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (cos.f64 im) re) |
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 im) re) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 im) re))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 im) (*.f64 re 1/2)) (*.f64 (cos.f64 im) (*.f64 re 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 im) re) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 im) re) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 im) (+.f64 re re)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 im) (*.f64 re 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 im) (*.f64 re 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 im) (*.f64 re 8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 im) (*.f64 re 8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 im) (*.f64 re 8))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 im) (*.f64 re 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 im) (*.f64 re 8)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 im) re) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 im) (+.f64 re 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (cos.f64 im) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (cos.f64 im) (/.f64 (+.f64 re 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (+.f64 re 1) 1/2) (cos.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 1/2 (*.f64 re 1/2)) (cos.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 im) (+.f64 2 (+.f64 re re))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 im) 2) (*.f64 (+.f64 re 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 im) 2) (/.f64 (+.f64 re 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 im) 2) (+.f64 1/2 (*.f64 re 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 re 1) (cos.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 im) (*.f64 (+.f64 re 1) 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (+.f64 re re)) (*.f64 (cos.f64 im) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 im) (+.f64 2 (+.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 im) (/.f64 (+.f64 re 1) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 im) 1/2) (+.f64 2 (+.f64 re re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 re 1) 1/2) (*.f64 (cos.f64 im) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (cos.f64 im) (*.f64 (+.f64 re 1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 re 1) 2) (*.f64 (cos.f64 im) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (*.f64 re 1/2)) (*.f64 (cos.f64 im) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (+.f64 re 1) 1/2)) (cos.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 (+.f64 re 1) 2)) (cos.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 im) (+.f64 2 (+.f64 re re))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 im) (*.f64 (+.f64 re 1) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 1))))) |
| 1× | egg-herbie |
| 2126× | rational.json-simplify-2 |
| 1860× | rational.json-simplify-35 |
| 1038× | rational.json-simplify-53 |
| 974× | rational.json-simplify-1 |
| 860× | rational.json-simplify-51 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 135 | 1140 |
| 1 | 316 | 1140 |
| 2 | 716 | 1128 |
| 3 | 2139 | 1122 |
| 4 | 4210 | 1122 |
| 5 | 5078 | 1122 |
| 6 | 5325 | 1122 |
| 7 | 5545 | 1122 |
| 8 | 5753 | 1122 |
| 9 | 5973 | 1122 |
| 10 | 7039 | 1122 |
| 1× | node limit |
| Inputs |
|---|
re |
(+.f64 (*.f64 -1/2 (*.f64 re (pow.f64 im 2))) re) |
(+.f64 (*.f64 -1/2 (*.f64 re (pow.f64 im 2))) (+.f64 (*.f64 1/24 (*.f64 re (pow.f64 im 4))) re)) |
(+.f64 (*.f64 -1/2 (*.f64 re (pow.f64 im 2))) (+.f64 (*.f64 1/24 (*.f64 re (pow.f64 im 4))) (+.f64 (*.f64 -1/720 (*.f64 re (pow.f64 im 6))) re))) |
(+.f64 1 re) |
(+.f64 (*.f64 (-.f64 (*.f64 -1/2 re) 1/2) (pow.f64 im 2)) (+.f64 1 re)) |
(+.f64 (*.f64 (-.f64 (*.f64 -1/2 re) 1/2) (pow.f64 im 2)) (+.f64 1 (+.f64 re (*.f64 (+.f64 (*.f64 1/24 re) 1/24) (pow.f64 im 4))))) |
(+.f64 (*.f64 (-.f64 (*.f64 -1/2 re) 1/2) (pow.f64 im 2)) (+.f64 1 (+.f64 (*.f64 (-.f64 (*.f64 -1/720 re) 1/720) (pow.f64 im 6)) (+.f64 re (*.f64 (+.f64 (*.f64 1/24 re) 1/24) (pow.f64 im 4)))))) |
(cos.f64 im) |
(*.f64 (cos.f64 im) re) |
(*.f64 (cos.f64 im) re) |
(+.f64 (*.f64 (cos.f64 im) re) 0) |
(+.f64 0 (*.f64 (cos.f64 im) re)) |
(+.f64 (*.f64 (cos.f64 im) (*.f64 re 1/2)) (*.f64 (cos.f64 im) (*.f64 re 1/2))) |
(-.f64 (*.f64 (cos.f64 im) re) 0) |
(/.f64 (*.f64 (cos.f64 im) re) 1) |
(/.f64 (*.f64 (cos.f64 im) (+.f64 re re)) 2) |
(/.f64 (*.f64 (cos.f64 im) (*.f64 re 4)) 4) |
(/.f64 (*.f64 (cos.f64 im) (*.f64 re 8)) 8) |
(/.f64 (*.f64 2 (*.f64 (cos.f64 im) (*.f64 re 8))) 16) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 im) (*.f64 re 8)))) 32) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 im) (*.f64 re 8))))) 64) |
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 im) (*.f64 re 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 im) (*.f64 re 8)))))) 128) |
(pow.f64 (*.f64 (cos.f64 im) re) 1) |
(-.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 0) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(*.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 1) |
(*.f64 1 (*.f64 (cos.f64 im) (+.f64 re 1))) |
(*.f64 2 (*.f64 (cos.f64 im) (/.f64 (+.f64 re 1) 2))) |
(*.f64 2 (*.f64 (*.f64 (+.f64 re 1) 1/2) (cos.f64 im))) |
(*.f64 2 (*.f64 (+.f64 1/2 (*.f64 re 1/2)) (cos.f64 im))) |
(*.f64 (*.f64 (cos.f64 im) (+.f64 2 (+.f64 re re))) 1/2) |
(*.f64 (*.f64 (cos.f64 im) 2) (*.f64 (+.f64 re 1) 1/2)) |
(*.f64 (*.f64 (cos.f64 im) 2) (/.f64 (+.f64 re 1) 2)) |
(*.f64 (*.f64 (cos.f64 im) 2) (+.f64 1/2 (*.f64 re 1/2))) |
(*.f64 (+.f64 re 1) (cos.f64 im)) |
(*.f64 4 (/.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 4)) |
(*.f64 (*.f64 (cos.f64 im) (*.f64 (+.f64 re 1) 4)) 1/4) |
(*.f64 (+.f64 2 (+.f64 re re)) (*.f64 (cos.f64 im) 1/2)) |
(*.f64 1/2 (*.f64 (cos.f64 im) (+.f64 2 (+.f64 re re)))) |
(*.f64 (*.f64 (cos.f64 im) (/.f64 (+.f64 re 1) 2)) 2) |
(*.f64 (*.f64 (cos.f64 im) 1/2) (+.f64 2 (+.f64 re re))) |
(*.f64 (*.f64 (+.f64 re 1) 1/2) (*.f64 (cos.f64 im) 2)) |
(*.f64 1/4 (*.f64 (cos.f64 im) (*.f64 (+.f64 re 1) 4))) |
(*.f64 (/.f64 (+.f64 re 1) 2) (*.f64 (cos.f64 im) 2)) |
(*.f64 (/.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 4) 4) |
(*.f64 (+.f64 1/2 (*.f64 re 1/2)) (*.f64 (cos.f64 im) 2)) |
(*.f64 (*.f64 2 (*.f64 (+.f64 re 1) 1/2)) (cos.f64 im)) |
(*.f64 (*.f64 2 (/.f64 (+.f64 re 1) 2)) (cos.f64 im)) |
(/.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 1) |
(/.f64 (*.f64 (cos.f64 im) (+.f64 2 (+.f64 re re))) 2) |
(/.f64 (*.f64 (cos.f64 im) (*.f64 (+.f64 re 1) 4)) 4) |
(/.f64 (*.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 8) 8) |
(/.f64 (*.f64 2 (*.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 8)) 16) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 8))) 32) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 8)))) 64) |
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 8))))) 128) |
(pow.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 1) |
| Outputs |
|---|
re |
(+.f64 (*.f64 -1/2 (*.f64 re (pow.f64 im 2))) re) |
(+.f64 re (*.f64 re (*.f64 (pow.f64 im 2) -1/2))) |
(+.f64 re (*.f64 -1/2 (*.f64 re (pow.f64 im 2)))) |
(+.f64 re (*.f64 (pow.f64 im 2) (*.f64 re -1/2))) |
(+.f64 re (*.f64 re (*.f64 -1/2 (pow.f64 im 2)))) |
(+.f64 (*.f64 -1/2 (*.f64 re (pow.f64 im 2))) (+.f64 (*.f64 1/24 (*.f64 re (pow.f64 im 4))) re)) |
(+.f64 (*.f64 re (*.f64 (pow.f64 im 4) 1/24)) (+.f64 re (*.f64 re (*.f64 (pow.f64 im 2) -1/2)))) |
(+.f64 re (+.f64 (*.f64 1/24 (*.f64 re (pow.f64 im 4))) (*.f64 -1/2 (*.f64 re (pow.f64 im 2))))) |
(+.f64 re (*.f64 re (+.f64 (*.f64 -1/2 (pow.f64 im 2)) (*.f64 1/24 (pow.f64 im 4))))) |
(+.f64 re (*.f64 re (+.f64 (*.f64 1/24 (pow.f64 im 4)) (*.f64 -1/2 (pow.f64 im 2))))) |
(+.f64 (*.f64 -1/2 (*.f64 re (pow.f64 im 2))) (+.f64 (*.f64 1/24 (*.f64 re (pow.f64 im 4))) (+.f64 (*.f64 -1/720 (*.f64 re (pow.f64 im 6))) re))) |
(+.f64 (*.f64 re (*.f64 (pow.f64 im 2) -1/2)) (+.f64 (*.f64 re (*.f64 (pow.f64 im 4) 1/24)) (+.f64 re (*.f64 re (*.f64 (pow.f64 im 6) -1/720))))) |
(+.f64 (*.f64 -1/2 (*.f64 re (pow.f64 im 2))) (+.f64 re (+.f64 (*.f64 re (*.f64 -1/720 (pow.f64 im 6))) (*.f64 1/24 (*.f64 re (pow.f64 im 4)))))) |
(+.f64 (+.f64 re (*.f64 re (+.f64 (*.f64 -1/2 (pow.f64 im 2)) (*.f64 1/24 (pow.f64 im 4))))) (*.f64 (pow.f64 im 6) (*.f64 re -1/720))) |
(+.f64 re (*.f64 re (+.f64 (*.f64 -1/2 (pow.f64 im 2)) (+.f64 (*.f64 1/24 (pow.f64 im 4)) (*.f64 -1/720 (pow.f64 im 6)))))) |
(+.f64 1 re) |
(+.f64 re 1) |
(+.f64 (*.f64 (-.f64 (*.f64 -1/2 re) 1/2) (pow.f64 im 2)) (+.f64 1 re)) |
(+.f64 (*.f64 (pow.f64 im 2) (-.f64 (*.f64 re -1/2) 1/2)) (+.f64 re 1)) |
(+.f64 re (+.f64 1 (*.f64 (pow.f64 im 2) (-.f64 (*.f64 re -1/2) 1/2)))) |
(+.f64 (*.f64 (-.f64 (*.f64 -1/2 re) 1/2) (pow.f64 im 2)) (+.f64 1 (+.f64 re (*.f64 (+.f64 (*.f64 1/24 re) 1/24) (pow.f64 im 4))))) |
(+.f64 1 (+.f64 (+.f64 re (*.f64 (pow.f64 im 4) (+.f64 1/24 (*.f64 re 1/24)))) (*.f64 (pow.f64 im 2) (-.f64 (*.f64 re -1/2) 1/2)))) |
(+.f64 (*.f64 (pow.f64 im 2) (-.f64 (*.f64 re -1/2) 1/2)) (+.f64 re (+.f64 1 (*.f64 (pow.f64 im 4) (+.f64 1/24 (*.f64 re 1/24)))))) |
(+.f64 re (+.f64 (*.f64 (pow.f64 im 2) (-.f64 (*.f64 re -1/2) 1/2)) (+.f64 1 (*.f64 (pow.f64 im 4) (+.f64 1/24 (*.f64 re 1/24)))))) |
(+.f64 1 (+.f64 (*.f64 (pow.f64 im 2) (-.f64 (*.f64 re -1/2) 1/2)) (+.f64 re (*.f64 (pow.f64 im 4) (+.f64 1/24 (*.f64 re 1/24)))))) |
(+.f64 (*.f64 (-.f64 (*.f64 -1/2 re) 1/2) (pow.f64 im 2)) (+.f64 1 (+.f64 (*.f64 (-.f64 (*.f64 -1/720 re) 1/720) (pow.f64 im 6)) (+.f64 re (*.f64 (+.f64 (*.f64 1/24 re) 1/24) (pow.f64 im 4)))))) |
(+.f64 1 (+.f64 (+.f64 re (+.f64 (*.f64 (pow.f64 im 4) (+.f64 1/24 (*.f64 re 1/24))) (*.f64 (pow.f64 im 6) (-.f64 (*.f64 re -1/720) 1/720)))) (*.f64 (pow.f64 im 2) (-.f64 (*.f64 re -1/2) 1/2)))) |
(+.f64 (*.f64 (pow.f64 im 2) (-.f64 (*.f64 re -1/2) 1/2)) (+.f64 re (+.f64 (+.f64 1 (*.f64 (pow.f64 im 4) (+.f64 1/24 (*.f64 re 1/24)))) (*.f64 (pow.f64 im 6) (-.f64 (*.f64 re -1/720) 1/720))))) |
(+.f64 1 (+.f64 (*.f64 (pow.f64 im 2) (-.f64 (*.f64 re -1/2) 1/2)) (+.f64 (*.f64 (pow.f64 im 4) (+.f64 1/24 (*.f64 re 1/24))) (+.f64 re (*.f64 (pow.f64 im 6) (-.f64 (*.f64 re -1/720) 1/720)))))) |
(+.f64 re (+.f64 (*.f64 (pow.f64 im 6) (-.f64 (*.f64 re -1/720) 1/720)) (+.f64 (*.f64 (pow.f64 im 2) (-.f64 (*.f64 re -1/2) 1/2)) (+.f64 1 (*.f64 (pow.f64 im 4) (+.f64 1/24 (*.f64 re 1/24))))))) |
(+.f64 re (+.f64 (*.f64 (pow.f64 im 2) (-.f64 (*.f64 re -1/2) 1/2)) (+.f64 1 (+.f64 (*.f64 (pow.f64 im 4) (+.f64 1/24 (*.f64 re 1/24))) (*.f64 (pow.f64 im 6) (-.f64 (*.f64 re -1/720) 1/720)))))) |
(cos.f64 im) |
(*.f64 (cos.f64 im) re) |
(*.f64 re (cos.f64 im)) |
(*.f64 (cos.f64 im) re) |
(*.f64 re (cos.f64 im)) |
(+.f64 (*.f64 (cos.f64 im) re) 0) |
(*.f64 re (cos.f64 im)) |
(+.f64 0 (*.f64 (cos.f64 im) re)) |
(*.f64 re (cos.f64 im)) |
(+.f64 (*.f64 (cos.f64 im) (*.f64 re 1/2)) (*.f64 (cos.f64 im) (*.f64 re 1/2))) |
(*.f64 re (cos.f64 im)) |
(-.f64 (*.f64 (cos.f64 im) re) 0) |
(*.f64 re (cos.f64 im)) |
(/.f64 (*.f64 (cos.f64 im) re) 1) |
(*.f64 re (cos.f64 im)) |
(/.f64 (*.f64 (cos.f64 im) (+.f64 re re)) 2) |
(*.f64 re (cos.f64 im)) |
(/.f64 (*.f64 (cos.f64 im) (*.f64 re 4)) 4) |
(*.f64 re (cos.f64 im)) |
(/.f64 (*.f64 (cos.f64 im) (*.f64 re 8)) 8) |
(*.f64 re (cos.f64 im)) |
(/.f64 (*.f64 2 (*.f64 (cos.f64 im) (*.f64 re 8))) 16) |
(*.f64 re (cos.f64 im)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 im) (*.f64 re 8)))) 32) |
(*.f64 re (cos.f64 im)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 im) (*.f64 re 8))))) 64) |
(*.f64 re (cos.f64 im)) |
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 im) (*.f64 re 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (cos.f64 im) (*.f64 re 8)))))) 128) |
(*.f64 re (cos.f64 im)) |
(pow.f64 (*.f64 (cos.f64 im) re) 1) |
(*.f64 re (cos.f64 im)) |
(-.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 0) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(*.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 1) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(*.f64 1 (*.f64 (cos.f64 im) (+.f64 re 1))) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(*.f64 2 (*.f64 (cos.f64 im) (/.f64 (+.f64 re 1) 2))) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(*.f64 2 (*.f64 (*.f64 (+.f64 re 1) 1/2) (cos.f64 im))) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(*.f64 2 (*.f64 (+.f64 1/2 (*.f64 re 1/2)) (cos.f64 im))) |
(*.f64 (+.f64 1/2 (*.f64 re 1/2)) (*.f64 2 (cos.f64 im))) |
(*.f64 2 (*.f64 (cos.f64 im) (+.f64 1/2 (*.f64 re 1/2)))) |
(*.f64 (*.f64 (cos.f64 im) (+.f64 2 (+.f64 re re))) 1/2) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(*.f64 (*.f64 (cos.f64 im) 2) (*.f64 (+.f64 re 1) 1/2)) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(*.f64 (*.f64 (cos.f64 im) 2) (/.f64 (+.f64 re 1) 2)) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(*.f64 (*.f64 (cos.f64 im) 2) (+.f64 1/2 (*.f64 re 1/2))) |
(*.f64 (+.f64 1/2 (*.f64 re 1/2)) (*.f64 2 (cos.f64 im))) |
(*.f64 2 (*.f64 (cos.f64 im) (+.f64 1/2 (*.f64 re 1/2)))) |
(*.f64 (+.f64 re 1) (cos.f64 im)) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(*.f64 4 (/.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 4)) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(*.f64 (*.f64 (cos.f64 im) (*.f64 (+.f64 re 1) 4)) 1/4) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(*.f64 (+.f64 2 (+.f64 re re)) (*.f64 (cos.f64 im) 1/2)) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(*.f64 1/2 (*.f64 (cos.f64 im) (+.f64 2 (+.f64 re re)))) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(*.f64 (*.f64 (cos.f64 im) (/.f64 (+.f64 re 1) 2)) 2) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(*.f64 (*.f64 (cos.f64 im) 1/2) (+.f64 2 (+.f64 re re))) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(*.f64 (*.f64 (+.f64 re 1) 1/2) (*.f64 (cos.f64 im) 2)) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(*.f64 1/4 (*.f64 (cos.f64 im) (*.f64 (+.f64 re 1) 4))) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(*.f64 (/.f64 (+.f64 re 1) 2) (*.f64 (cos.f64 im) 2)) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(*.f64 (/.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 4) 4) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(*.f64 (+.f64 1/2 (*.f64 re 1/2)) (*.f64 (cos.f64 im) 2)) |
(*.f64 (+.f64 1/2 (*.f64 re 1/2)) (*.f64 2 (cos.f64 im))) |
(*.f64 2 (*.f64 (cos.f64 im) (+.f64 1/2 (*.f64 re 1/2)))) |
(*.f64 (*.f64 2 (*.f64 (+.f64 re 1) 1/2)) (cos.f64 im)) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(*.f64 (*.f64 2 (/.f64 (+.f64 re 1) 2)) (cos.f64 im)) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(/.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 1) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(/.f64 (*.f64 (cos.f64 im) (+.f64 2 (+.f64 re re))) 2) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(/.f64 (*.f64 (cos.f64 im) (*.f64 (+.f64 re 1) 4)) 4) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(/.f64 (*.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 8) 8) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(/.f64 (*.f64 2 (*.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 8)) 16) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 8))) 32) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 8)))) 64) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 8)))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 8))))) 128) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(pow.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 1) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
Compiled 1208 to 822 computations (32% saved)
7 alts after pruning (3 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 81 | 3 | 84 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 81 | 7 | 88 |
| Status | Error | Program |
|---|---|---|
| ✓ | 20.1b | (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)) |
| ▶ | 20.8b | (+.f64 re (cos.f64 im)) |
| ▶ | 42.6b | (+.f64 re 1) |
| ▶ | 20.1b | (*.f64 (+.f64 re 1) (cos.f64 im)) |
| ✓ | 0.0b | (*.f64 (exp.f64 re) (cos.f64 im)) |
| ✓ | 22.9b | (exp.f64 re) |
| ✓ | 20.6b | (cos.f64 im) |
Compiled 43 to 30 computations (30.2% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (+.f64 re 1) (cos.f64 im)) |
Compiled 16 to 9 computations (43.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | re | @ | inf | (*.f64 (+.f64 re 1) (cos.f64 im)) |
| 0.0ms | im | @ | 0 | (*.f64 (+.f64 re 1) (cos.f64 im)) |
| 0.0ms | im | @ | -inf | (*.f64 (+.f64 re 1) (cos.f64 im)) |
| 0.0ms | im | @ | inf | (*.f64 (+.f64 re 1) (cos.f64 im)) |
| 0.0ms | re | @ | 0 | (*.f64 (+.f64 re 1) (cos.f64 im)) |
| 1× | batch-egg-rewrite |
| 1516× | rational.json-1 |
| 1516× | rational.json-2 |
| 1516× | rational.json-3 |
| 1322× | rational.json-simplify-35 |
| 954× | rational.json-simplify-2 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 17 |
| 1 | 69 | 17 |
| 2 | 156 | 17 |
| 3 | 308 | 17 |
| 4 | 610 | 17 |
| 5 | 1371 | 17 |
| 6 | 3003 | 17 |
| 7 | 5088 | 17 |
| 8 | 7109 | 17 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 re 1) (cos.f64 im)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 re 1) (cos.f64 im)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 re 1) (cos.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 re 1) (cos.f64 im)) 1/2) (*.f64 (*.f64 (+.f64 re 1) (cos.f64 im)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 re 1) (cos.f64 im)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 re 1) (cos.f64 im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 im) (+.f64 re (+.f64 re 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 re 1) (*.f64 (cos.f64 im) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 re 1) (*.f64 (cos.f64 im) 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 re 1) (*.f64 (cos.f64 im) 8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 re 1) (*.f64 (cos.f64 im) 8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 re 1) (*.f64 (cos.f64 im) 8))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 re 1) (*.f64 (cos.f64 im) 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 re 1) (*.f64 (cos.f64 im) 8)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 re 1) (cos.f64 im)) 1))))) |
| 1× | egg-herbie |
| 2240× | rational.json-simplify-2 |
| 1732× | rational.json-simplify-35 |
| 1522× | rational.json-simplify-53 |
| 1480× | rational.json-simplify-1 |
| 928× | rational.json-simplify-48 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 781 |
| 1 | 164 | 781 |
| 2 | 326 | 769 |
| 3 | 642 | 757 |
| 4 | 2048 | 757 |
| 5 | 3972 | 757 |
| 6 | 5122 | 757 |
| 7 | 5400 | 757 |
| 8 | 5644 | 757 |
| 9 | 5901 | 757 |
| 10 | 6216 | 757 |
| 11 | 7626 | 757 |
| 1× | node limit |
| Inputs |
|---|
(cos.f64 im) |
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)) |
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)) |
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)) |
(*.f64 (cos.f64 im) re) |
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)) |
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)) |
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)) |
(*.f64 (cos.f64 im) re) |
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)) |
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)) |
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)) |
(+.f64 1 re) |
(+.f64 1 (+.f64 re (*.f64 -1/2 (*.f64 (+.f64 1 re) (pow.f64 im 2))))) |
(+.f64 (*.f64 1/24 (*.f64 (+.f64 1 re) (pow.f64 im 4))) (+.f64 1 (+.f64 re (*.f64 -1/2 (*.f64 (+.f64 1 re) (pow.f64 im 2)))))) |
(+.f64 (*.f64 1/24 (*.f64 (+.f64 1 re) (pow.f64 im 4))) (+.f64 (*.f64 -1/720 (*.f64 (+.f64 1 re) (pow.f64 im 6))) (+.f64 1 (+.f64 re (*.f64 -1/2 (*.f64 (+.f64 1 re) (pow.f64 im 2))))))) |
(*.f64 (cos.f64 im) (+.f64 1 re)) |
(*.f64 (cos.f64 im) (+.f64 1 re)) |
(*.f64 (cos.f64 im) (+.f64 1 re)) |
(*.f64 (cos.f64 im) (+.f64 1 re)) |
(*.f64 (+.f64 1 re) (cos.f64 im)) |
(*.f64 (+.f64 1 re) (cos.f64 im)) |
(*.f64 (+.f64 1 re) (cos.f64 im)) |
(*.f64 (+.f64 1 re) (cos.f64 im)) |
(+.f64 (*.f64 (+.f64 re 1) (cos.f64 im)) 0) |
(+.f64 0 (*.f64 (+.f64 re 1) (cos.f64 im))) |
(+.f64 (*.f64 (*.f64 (+.f64 re 1) (cos.f64 im)) 1/2) (*.f64 (*.f64 (+.f64 re 1) (cos.f64 im)) 1/2)) |
(-.f64 (*.f64 (+.f64 re 1) (cos.f64 im)) 0) |
(/.f64 (*.f64 (+.f64 re 1) (cos.f64 im)) 1) |
(/.f64 (*.f64 (cos.f64 im) (+.f64 re (+.f64 re 2))) 2) |
(/.f64 (*.f64 (+.f64 re 1) (*.f64 (cos.f64 im) 4)) 4) |
(/.f64 (*.f64 (+.f64 re 1) (*.f64 (cos.f64 im) 8)) 8) |
(/.f64 (*.f64 2 (*.f64 (+.f64 re 1) (*.f64 (cos.f64 im) 8))) 16) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 re 1) (*.f64 (cos.f64 im) 8)))) 32) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 re 1) (*.f64 (cos.f64 im) 8))))) 64) |
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 re 1) (*.f64 (cos.f64 im) 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 re 1) (*.f64 (cos.f64 im) 8)))))) 128) |
(pow.f64 (*.f64 (+.f64 re 1) (cos.f64 im)) 1) |
| Outputs |
|---|
(cos.f64 im) |
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)) |
(+.f64 (cos.f64 im) (*.f64 (cos.f64 im) re)) |
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)) |
(+.f64 (cos.f64 im) (*.f64 (cos.f64 im) re)) |
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)) |
(+.f64 (cos.f64 im) (*.f64 (cos.f64 im) re)) |
(*.f64 (cos.f64 im) re) |
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)) |
(+.f64 (cos.f64 im) (*.f64 (cos.f64 im) re)) |
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)) |
(+.f64 (cos.f64 im) (*.f64 (cos.f64 im) re)) |
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)) |
(+.f64 (cos.f64 im) (*.f64 (cos.f64 im) re)) |
(*.f64 (cos.f64 im) re) |
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)) |
(+.f64 (cos.f64 im) (*.f64 (cos.f64 im) re)) |
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)) |
(+.f64 (cos.f64 im) (*.f64 (cos.f64 im) re)) |
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)) |
(+.f64 (cos.f64 im) (*.f64 (cos.f64 im) re)) |
(+.f64 1 re) |
(+.f64 re 1) |
(+.f64 1 (+.f64 re (*.f64 -1/2 (*.f64 (+.f64 1 re) (pow.f64 im 2))))) |
(+.f64 re (+.f64 (*.f64 (+.f64 re 1) (*.f64 (pow.f64 im 2) -1/2)) 1)) |
(+.f64 re (+.f64 1 (*.f64 (+.f64 re 1) (*.f64 -1/2 (pow.f64 im 2))))) |
(+.f64 (+.f64 re 1) (*.f64 (+.f64 re 1) (*.f64 -1/2 (pow.f64 im 2)))) |
(+.f64 1 (+.f64 re (*.f64 (+.f64 re 1) (*.f64 -1/2 (pow.f64 im 2))))) |
(+.f64 (*.f64 1/24 (*.f64 (+.f64 1 re) (pow.f64 im 4))) (+.f64 1 (+.f64 re (*.f64 -1/2 (*.f64 (+.f64 1 re) (pow.f64 im 2)))))) |
(+.f64 1 (+.f64 (+.f64 re (*.f64 (+.f64 re 1) (*.f64 (pow.f64 im 2) -1/2))) (*.f64 (+.f64 re 1) (*.f64 (pow.f64 im 4) 1/24)))) |
(+.f64 1 (+.f64 (+.f64 re (*.f64 (+.f64 re 1) (*.f64 -1/2 (pow.f64 im 2)))) (*.f64 (+.f64 re 1) (*.f64 1/24 (pow.f64 im 4))))) |
(+.f64 1 (+.f64 re (+.f64 (*.f64 (+.f64 re 1) (*.f64 -1/2 (pow.f64 im 2))) (*.f64 (+.f64 re 1) (*.f64 1/24 (pow.f64 im 4)))))) |
(+.f64 (+.f64 re 1) (*.f64 (+.f64 re 1) (+.f64 (*.f64 1/24 (pow.f64 im 4)) (*.f64 -1/2 (pow.f64 im 2))))) |
(+.f64 (+.f64 re 1) (*.f64 (+.f64 re 1) (+.f64 (*.f64 -1/2 (pow.f64 im 2)) (*.f64 1/24 (pow.f64 im 4))))) |
(+.f64 (*.f64 1/24 (*.f64 (+.f64 1 re) (pow.f64 im 4))) (+.f64 (*.f64 -1/720 (*.f64 (+.f64 1 re) (pow.f64 im 6))) (+.f64 1 (+.f64 re (*.f64 -1/2 (*.f64 (+.f64 1 re) (pow.f64 im 2))))))) |
(+.f64 (*.f64 (+.f64 re 1) (*.f64 (pow.f64 im 6) -1/720)) (+.f64 1 (+.f64 (+.f64 re (*.f64 (+.f64 re 1) (*.f64 (pow.f64 im 2) -1/2))) (*.f64 (+.f64 re 1) (*.f64 (pow.f64 im 4) 1/24))))) |
(+.f64 (+.f64 re (+.f64 1 (*.f64 (+.f64 re 1) (*.f64 -1/2 (pow.f64 im 2))))) (+.f64 (*.f64 (pow.f64 im 6) (*.f64 -1/720 (+.f64 re 1))) (*.f64 (+.f64 re 1) (*.f64 1/24 (pow.f64 im 4))))) |
(+.f64 (+.f64 re (+.f64 1 (*.f64 (+.f64 re 1) (*.f64 -1/2 (pow.f64 im 2))))) (*.f64 (+.f64 re 1) (+.f64 (*.f64 1/24 (pow.f64 im 4)) (*.f64 -1/720 (pow.f64 im 6))))) |
(+.f64 (+.f64 re (*.f64 (+.f64 re 1) (*.f64 -1/2 (pow.f64 im 2)))) (+.f64 1 (*.f64 (+.f64 re 1) (+.f64 (*.f64 -1/720 (pow.f64 im 6)) (*.f64 1/24 (pow.f64 im 4)))))) |
(+.f64 (+.f64 (+.f64 re 1) (*.f64 (+.f64 re 1) (*.f64 -1/2 (pow.f64 im 2)))) (*.f64 (+.f64 re 1) (+.f64 (*.f64 -1/720 (pow.f64 im 6)) (*.f64 1/24 (pow.f64 im 4))))) |
(+.f64 re (+.f64 1 (+.f64 (*.f64 (+.f64 re 1) (*.f64 -1/2 (pow.f64 im 2))) (*.f64 (+.f64 re 1) (+.f64 (*.f64 -1/720 (pow.f64 im 6)) (*.f64 1/24 (pow.f64 im 4))))))) |
(*.f64 (cos.f64 im) (+.f64 1 re)) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(*.f64 (cos.f64 im) (+.f64 1 re)) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(*.f64 (cos.f64 im) (+.f64 1 re)) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(*.f64 (cos.f64 im) (+.f64 1 re)) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(*.f64 (+.f64 1 re) (cos.f64 im)) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(*.f64 (+.f64 1 re) (cos.f64 im)) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(*.f64 (+.f64 1 re) (cos.f64 im)) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(*.f64 (+.f64 1 re) (cos.f64 im)) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(+.f64 (*.f64 (+.f64 re 1) (cos.f64 im)) 0) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(+.f64 0 (*.f64 (+.f64 re 1) (cos.f64 im))) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(+.f64 (*.f64 (*.f64 (+.f64 re 1) (cos.f64 im)) 1/2) (*.f64 (*.f64 (+.f64 re 1) (cos.f64 im)) 1/2)) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(-.f64 (*.f64 (+.f64 re 1) (cos.f64 im)) 0) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(/.f64 (*.f64 (+.f64 re 1) (cos.f64 im)) 1) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(/.f64 (*.f64 (cos.f64 im) (+.f64 re (+.f64 re 2))) 2) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(/.f64 (*.f64 (+.f64 re 1) (*.f64 (cos.f64 im) 4)) 4) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(/.f64 (*.f64 (+.f64 re 1) (*.f64 (cos.f64 im) 8)) 8) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(/.f64 (*.f64 2 (*.f64 (+.f64 re 1) (*.f64 (cos.f64 im) 8))) 16) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 re 1) (*.f64 (cos.f64 im) 8)))) 32) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 re 1) (*.f64 (cos.f64 im) 8))))) 64) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(/.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 re 1) (*.f64 (cos.f64 im) 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 re 1) (*.f64 (cos.f64 im) 8)))))) 128) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
(pow.f64 (*.f64 (+.f64 re 1) (cos.f64 im)) 1) |
(*.f64 (cos.f64 im) (+.f64 re 1)) |
Compiled 7 to 5 computations (28.6% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 re (cos.f64 im)) |
Compiled 10 to 4 computations (60% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | im | @ | 0 | (+.f64 re (cos.f64 im)) |
| 0.0ms | re | @ | 0 | (+.f64 re (cos.f64 im)) |
| 0.0ms | im | @ | inf | (+.f64 re (cos.f64 im)) |
| 0.0ms | im | @ | -inf | (+.f64 re (cos.f64 im)) |
| 0.0ms | re | @ | -inf | (+.f64 re (cos.f64 im)) |
| 1× | batch-egg-rewrite |
| 1256× | exponential.json-3 |
| 1256× | rational.json-1 |
| 1256× | rational.json-2 |
| 1256× | rational.json-4 |
| 1256× | rational.json-3 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 47 | 11 |
| 2 | 113 | 11 |
| 3 | 249 | 11 |
| 4 | 502 | 11 |
| 5 | 1155 | 11 |
| 6 | 2925 | 11 |
| 7 | 4993 | 11 |
| 8 | 5986 | 11 |
| 9 | 7346 | 11 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 re (cos.f64 im)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 re (cos.f64 im)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 re (cos.f64 im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 re (cos.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 re (cos.f64 im)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 re (cos.f64 im)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (+.f64 re (cos.f64 im)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 re (cos.f64 im)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 re (cos.f64 im)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 re (cos.f64 im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 re (cos.f64 im)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 re (cos.f64 im)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 re (cos.f64 im)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (+.f64 re (cos.f64 im)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 re (cos.f64 im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 re (cos.f64 im)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 re (cos.f64 im)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 re (cos.f64 im)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 re (cos.f64 im)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 re (cos.f64 im)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 re (cos.f64 im)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 re (cos.f64 im)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 re (cos.f64 im)) 1))))) |
| 1× | egg-herbie |
| 1790× | rational.json-simplify-1 |
| 1612× | rational.json-simplify-35 |
| 904× | rational.json-simplify-41 |
| 886× | rational.json-simplify-38 |
| 830× | rational.json-simplify-2 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 572 |
| 1 | 160 | 572 |
| 2 | 496 | 572 |
| 3 | 1231 | 572 |
| 4 | 1946 | 572 |
| 5 | 2808 | 572 |
| 6 | 3302 | 572 |
| 7 | 3401 | 572 |
| 8 | 3489 | 572 |
| 9 | 3581 | 572 |
| 10 | 3690 | 572 |
| 11 | 3952 | 572 |
| 12 | 4702 | 572 |
| 13 | 5073 | 572 |
| 14 | 5376 | 572 |
| 15 | 5589 | 572 |
| 16 | 5779 | 572 |
| 17 | 5933 | 572 |
| 18 | 6486 | 572 |
| 1× | node limit |
| Inputs |
|---|
(cos.f64 im) |
(+.f64 (cos.f64 im) re) |
(+.f64 (cos.f64 im) re) |
(+.f64 (cos.f64 im) re) |
re |
(+.f64 (cos.f64 im) re) |
(+.f64 (cos.f64 im) re) |
(+.f64 (cos.f64 im) re) |
re |
(+.f64 (cos.f64 im) re) |
(+.f64 (cos.f64 im) re) |
(+.f64 (cos.f64 im) re) |
(+.f64 1 re) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 im 2)) re)) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 im 2)) (+.f64 (*.f64 1/24 (pow.f64 im 4)) re))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 im 2)) (+.f64 (*.f64 1/24 (pow.f64 im 4)) (+.f64 re (*.f64 -1/720 (pow.f64 im 6)))))) |
(+.f64 (cos.f64 im) re) |
(+.f64 (cos.f64 im) re) |
(+.f64 (cos.f64 im) re) |
(+.f64 (cos.f64 im) re) |
(+.f64 (cos.f64 im) re) |
(+.f64 (cos.f64 im) re) |
(+.f64 (cos.f64 im) re) |
(+.f64 (cos.f64 im) re) |
(-.f64 (+.f64 re (cos.f64 im)) 0) |
(*.f64 (+.f64 re (cos.f64 im)) 1) |
(*.f64 1 (+.f64 re (cos.f64 im))) |
(*.f64 2 (*.f64 (+.f64 re (cos.f64 im)) 1/2)) |
(*.f64 (*.f64 (+.f64 re (cos.f64 im)) 2) 1/2) |
(*.f64 4 (*.f64 (+.f64 re (cos.f64 im)) 1/4)) |
(*.f64 (*.f64 (+.f64 re (cos.f64 im)) 4) 1/4) |
(*.f64 (*.f64 (+.f64 re (cos.f64 im)) 8) 1/8) |
(*.f64 1/2 (*.f64 (+.f64 re (cos.f64 im)) 2)) |
(*.f64 (*.f64 (+.f64 re (cos.f64 im)) 1/2) 2) |
(*.f64 1/4 (*.f64 (+.f64 re (cos.f64 im)) 4)) |
(*.f64 (*.f64 (+.f64 re (cos.f64 im)) 1/4) 4) |
(*.f64 1/8 (*.f64 (+.f64 re (cos.f64 im)) 8)) |
(/.f64 (+.f64 re (cos.f64 im)) 1) |
(/.f64 (*.f64 (+.f64 re (cos.f64 im)) 2) 2) |
(/.f64 (*.f64 (+.f64 re (cos.f64 im)) 4) 4) |
(/.f64 (*.f64 (+.f64 re (cos.f64 im)) 8) 8) |
(/.f64 (*.f64 2 (*.f64 (+.f64 re (cos.f64 im)) 8)) 16) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 re (cos.f64 im)) 8))) 32) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 re (cos.f64 im)) 8)))) 64) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 re (cos.f64 im)) 8))))) 128) |
(pow.f64 (+.f64 re (cos.f64 im)) 1) |
| Outputs |
|---|
(cos.f64 im) |
(+.f64 (cos.f64 im) re) |
(+.f64 (cos.f64 im) re) |
(+.f64 (cos.f64 im) re) |
re |
(+.f64 (cos.f64 im) re) |
(+.f64 (cos.f64 im) re) |
(+.f64 (cos.f64 im) re) |
re |
(+.f64 (cos.f64 im) re) |
(+.f64 (cos.f64 im) re) |
(+.f64 (cos.f64 im) re) |
(+.f64 1 re) |
(+.f64 re 1) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 im 2)) re)) |
(+.f64 1 (+.f64 re (*.f64 -1/2 (pow.f64 im 2)))) |
(+.f64 re (+.f64 1 (*.f64 -1/2 (pow.f64 im 2)))) |
(+.f64 (+.f64 re 1) (*.f64 -1/2 (pow.f64 im 2))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 im 2)) (+.f64 (*.f64 1/24 (pow.f64 im 4)) re))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 im 2)) (+.f64 re (*.f64 1/24 (pow.f64 im 4))))) |
(+.f64 (*.f64 -1/2 (pow.f64 im 2)) (+.f64 1 (+.f64 re (*.f64 1/24 (pow.f64 im 4))))) |
(+.f64 re (+.f64 (+.f64 (*.f64 -1/2 (pow.f64 im 2)) (*.f64 1/24 (pow.f64 im 4))) 1)) |
(+.f64 re (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 im 2)) (*.f64 1/24 (pow.f64 im 4))))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 im 2)) (+.f64 (*.f64 1/24 (pow.f64 im 4)) (+.f64 re (*.f64 -1/720 (pow.f64 im 6)))))) |
(+.f64 1 (+.f64 (*.f64 1/24 (pow.f64 im 4)) (+.f64 (*.f64 -1/2 (pow.f64 im 2)) (+.f64 re (*.f64 -1/720 (pow.f64 im 6)))))) |
(+.f64 re (+.f64 (+.f64 (*.f64 1/24 (pow.f64 im 4)) (*.f64 -1/720 (pow.f64 im 6))) (+.f64 1 (*.f64 -1/2 (pow.f64 im 2))))) |
(+.f64 re (+.f64 (*.f64 1/24 (pow.f64 im 4)) (+.f64 (*.f64 -1/2 (pow.f64 im 2)) (+.f64 1 (*.f64 -1/720 (pow.f64 im 6)))))) |
(+.f64 re (+.f64 (*.f64 -1/720 (pow.f64 im 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 im 2)) (*.f64 1/24 (pow.f64 im 4)))))) |
(+.f64 (cos.f64 im) re) |
(+.f64 (cos.f64 im) re) |
(+.f64 (cos.f64 im) re) |
(+.f64 (cos.f64 im) re) |
(+.f64 (cos.f64 im) re) |
(+.f64 (cos.f64 im) re) |
(+.f64 (cos.f64 im) re) |
(+.f64 (cos.f64 im) re) |
(-.f64 (+.f64 re (cos.f64 im)) 0) |
(+.f64 (cos.f64 im) re) |
(*.f64 (+.f64 re (cos.f64 im)) 1) |
(+.f64 (cos.f64 im) re) |
(*.f64 1 (+.f64 re (cos.f64 im))) |
(+.f64 (cos.f64 im) re) |
(*.f64 2 (*.f64 (+.f64 re (cos.f64 im)) 1/2)) |
(+.f64 (cos.f64 im) re) |
(*.f64 (*.f64 (+.f64 re (cos.f64 im)) 2) 1/2) |
(+.f64 (cos.f64 im) re) |
(*.f64 4 (*.f64 (+.f64 re (cos.f64 im)) 1/4)) |
(+.f64 (cos.f64 im) re) |
(*.f64 (*.f64 (+.f64 re (cos.f64 im)) 4) 1/4) |
(+.f64 (cos.f64 im) re) |
(*.f64 (*.f64 (+.f64 re (cos.f64 im)) 8) 1/8) |
(+.f64 (cos.f64 im) re) |
(*.f64 1/2 (*.f64 (+.f64 re (cos.f64 im)) 2)) |
(+.f64 (cos.f64 im) re) |
(*.f64 (*.f64 (+.f64 re (cos.f64 im)) 1/2) 2) |
(+.f64 (cos.f64 im) re) |
(*.f64 1/4 (*.f64 (+.f64 re (cos.f64 im)) 4)) |
(+.f64 (cos.f64 im) re) |
(*.f64 (*.f64 (+.f64 re (cos.f64 im)) 1/4) 4) |
(+.f64 (cos.f64 im) re) |
(*.f64 1/8 (*.f64 (+.f64 re (cos.f64 im)) 8)) |
(+.f64 (cos.f64 im) re) |
(/.f64 (+.f64 re (cos.f64 im)) 1) |
(+.f64 (cos.f64 im) re) |
(/.f64 (*.f64 (+.f64 re (cos.f64 im)) 2) 2) |
(+.f64 (cos.f64 im) re) |
(/.f64 (*.f64 (+.f64 re (cos.f64 im)) 4) 4) |
(+.f64 (cos.f64 im) re) |
(/.f64 (*.f64 (+.f64 re (cos.f64 im)) 8) 8) |
(+.f64 (cos.f64 im) re) |
(/.f64 (*.f64 2 (*.f64 (+.f64 re (cos.f64 im)) 8)) 16) |
(+.f64 (cos.f64 im) re) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 re (cos.f64 im)) 8))) 32) |
(+.f64 (cos.f64 im) re) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 re (cos.f64 im)) 8)))) 64) |
(+.f64 (cos.f64 im) re) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 re (cos.f64 im)) 8))))) 128) |
(+.f64 (cos.f64 im) re) |
(pow.f64 (+.f64 re (cos.f64 im)) 1) |
(+.f64 (cos.f64 im) re) |
Compiled 1031 to 732 computations (29% saved)
9 alts after pruning (2 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 79 | 2 | 81 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 6 | 6 |
| Total | 79 | 9 | 88 |
| Status | Error | Program |
|---|---|---|
| ▶ | 20.1b | (/.f64 (*.f64 (cos.f64 im) (+.f64 re (+.f64 re 2))) 2) |
| ✓ | 20.1b | (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)) |
| ✓ | 20.8b | (+.f64 re (cos.f64 im)) |
| ✓ | 42.6b | (+.f64 re 1) |
| ✓ | 20.1b | (*.f64 (+.f64 re 1) (cos.f64 im)) |
| ✓ | 0.0b | (*.f64 (exp.f64 re) (cos.f64 im)) |
| ✓ | 22.9b | (exp.f64 re) |
| ✓ | 20.6b | (cos.f64 im) |
| 61.8b | re |
Compiled 58 to 41 computations (29.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 re (+.f64 re 2)) |
| ✓ | 0.1b | (*.f64 (cos.f64 im) (+.f64 re (+.f64 re 2))) |
Compiled 33 to 19 computations (42.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | re | @ | 0 | (*.f64 (cos.f64 im) (+.f64 re (+.f64 re 2))) |
| 0.0ms | im | @ | inf | (*.f64 (cos.f64 im) (+.f64 re (+.f64 re 2))) |
| 0.0ms | im | @ | 0 | (*.f64 (cos.f64 im) (+.f64 re (+.f64 re 2))) |
| 0.0ms | re | @ | inf | (*.f64 (cos.f64 im) (+.f64 re (+.f64 re 2))) |
| 0.0ms | re | @ | -inf | (*.f64 (cos.f64 im) (+.f64 re (+.f64 re 2))) |
| 1× | batch-egg-rewrite |
| 1364× | rational.json-simplify-35 |
| 1298× | exponential.json-3 |
| 1298× | rational.json-1 |
| 1298× | rational.json-2 |
| 1298× | rational.json-4 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 36 |
| 1 | 67 | 36 |
| 2 | 142 | 36 |
| 3 | 301 | 36 |
| 4 | 628 | 36 |
| 5 | 1522 | 36 |
| 6 | 3003 | 36 |
| 7 | 4511 | 36 |
| 8 | 5905 | 36 |
| 9 | 7260 | 36 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (cos.f64 im) (+.f64 re (+.f64 re 2))) |
(+.f64 re (+.f64 re 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 im) (+.f64 2 (+.f64 re re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 im) (+.f64 2 (+.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 im) (*.f64 (+.f64 2 (+.f64 re re)) 1/2)) (*.f64 (cos.f64 im) (*.f64 (+.f64 2 (+.f64 re re)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 2 (+.f64 re re)) 4) (*.f64 (cos.f64 im) 2)) (*.f64 (/.f64 (+.f64 2 (+.f64 re re)) 4) (*.f64 (cos.f64 im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 im) 4) (+.f64 2 (+.f64 2 (*.f64 re 4)))) (*.f64 (/.f64 (cos.f64 im) 4) (+.f64 2 (+.f64 2 (*.f64 re 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 (+.f64 2 (+.f64 re re)) (/.f64 (cos.f64 im) 4))) (*.f64 2 (*.f64 (+.f64 2 (+.f64 re re)) (/.f64 (cos.f64 im) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 im) 2) (/.f64 (+.f64 2 (+.f64 re re)) 4)) (*.f64 (*.f64 (cos.f64 im) 2) (/.f64 (+.f64 2 (+.f64 re re)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 im) (+.f64 2 (+.f64 re re))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 im) (+.f64 2 (+.f64 re re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 im) (+.f64 2 (+.f64 2 (*.f64 re 4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 im) (*.f64 (+.f64 2 (+.f64 re re)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 im) (*.f64 (+.f64 2 (+.f64 re re)) 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 im) 2) (*.f64 (+.f64 2 (+.f64 re re)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (cos.f64 im) 2) (*.f64 (+.f64 2 (+.f64 re re)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 im) 2) (*.f64 (+.f64 2 (+.f64 re re)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 im) 2) (*.f64 (+.f64 2 (+.f64 re re)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 im) (+.f64 2 (+.f64 re re))) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (+.f64 re re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 2 (+.f64 re re)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (+.f64 re re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 2 (+.f64 re re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (+.f64 2 (*.f64 re 4))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 2 (+.f64 re re)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 2 (+.f64 re re)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 2 (+.f64 2 (*.f64 re 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 2 (+.f64 re re)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 2 (+.f64 re re)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 2 (+.f64 re re)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 2 (+.f64 re re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 2 (+.f64 2 (*.f64 re 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 2 (+.f64 re re)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 2 (+.f64 re re)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 2 (+.f64 re re)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 2 (+.f64 re re)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 2 (+.f64 re re)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 2 (+.f64 re re)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 (+.f64 re re)) 1))))) |
| 1× | egg-herbie |
| 1998× | rational.json-simplify-35 |
| 1536× | rational.json-simplify-2 |
| 1194× | rational.json-simplify-1 |
| 778× | rational.json-simplify-51 |
| 666× | rational.json-simplify-48 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 110 | 1627 |
| 1 | 264 | 1549 |
| 2 | 632 | 1481 |
| 3 | 1443 | 1463 |
| 4 | 3033 | 1463 |
| 5 | 3941 | 1463 |
| 6 | 4062 | 1463 |
| 7 | 4166 | 1463 |
| 8 | 4281 | 1463 |
| 9 | 4415 | 1463 |
| 10 | 4560 | 1463 |
| 11 | 4904 | 1463 |
| 12 | 5678 | 1463 |
| 13 | 5987 | 1463 |
| 14 | 6249 | 1463 |
| 15 | 6469 | 1463 |
| 16 | 6570 | 1463 |
| 17 | 6814 | 1463 |
| 18 | 7225 | 1463 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 2 (*.f64 2 re)) |
(+.f64 2 (+.f64 (*.f64 2 re) (*.f64 -1/2 (*.f64 (+.f64 2 (*.f64 2 re)) (pow.f64 im 2))))) |
(+.f64 2 (+.f64 (*.f64 2 re) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 2 (*.f64 2 re)) (pow.f64 im 2))) (*.f64 1/24 (*.f64 (+.f64 2 (*.f64 2 re)) (pow.f64 im 4)))))) |
(+.f64 2 (+.f64 (*.f64 -1/720 (*.f64 (+.f64 2 (*.f64 2 re)) (pow.f64 im 6))) (+.f64 (*.f64 2 re) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 2 (*.f64 2 re)) (pow.f64 im 2))) (*.f64 1/24 (*.f64 (+.f64 2 (*.f64 2 re)) (pow.f64 im 4))))))) |
(*.f64 (+.f64 2 (*.f64 2 re)) (cos.f64 im)) |
(*.f64 (+.f64 2 (*.f64 2 re)) (cos.f64 im)) |
(*.f64 (+.f64 2 (*.f64 2 re)) (cos.f64 im)) |
(*.f64 (+.f64 2 (*.f64 2 re)) (cos.f64 im)) |
(*.f64 (+.f64 2 (*.f64 2 re)) (cos.f64 im)) |
(*.f64 (+.f64 2 (*.f64 2 re)) (cos.f64 im)) |
(*.f64 (+.f64 2 (*.f64 2 re)) (cos.f64 im)) |
(*.f64 (+.f64 2 (*.f64 2 re)) (cos.f64 im)) |
(*.f64 2 (cos.f64 im)) |
(+.f64 (*.f64 2 (*.f64 (cos.f64 im) re)) (*.f64 2 (cos.f64 im))) |
(+.f64 (*.f64 2 (*.f64 (cos.f64 im) re)) (*.f64 2 (cos.f64 im))) |
(+.f64 (*.f64 2 (*.f64 (cos.f64 im) re)) (*.f64 2 (cos.f64 im))) |
(*.f64 2 (*.f64 (cos.f64 im) re)) |
(+.f64 (*.f64 2 (*.f64 (cos.f64 im) re)) (*.f64 2 (cos.f64 im))) |
(+.f64 (*.f64 2 (*.f64 (cos.f64 im) re)) (*.f64 2 (cos.f64 im))) |
(+.f64 (*.f64 2 (*.f64 (cos.f64 im) re)) (*.f64 2 (cos.f64 im))) |
(*.f64 2 (*.f64 (cos.f64 im) re)) |
(+.f64 (*.f64 2 (*.f64 (cos.f64 im) re)) (*.f64 2 (cos.f64 im))) |
(+.f64 (*.f64 2 (*.f64 (cos.f64 im) re)) (*.f64 2 (cos.f64 im))) |
(+.f64 (*.f64 2 (*.f64 (cos.f64 im) re)) (*.f64 2 (cos.f64 im))) |
2 |
(+.f64 2 (*.f64 2 re)) |
(+.f64 2 (*.f64 2 re)) |
(+.f64 2 (*.f64 2 re)) |
(*.f64 2 re) |
(+.f64 2 (*.f64 2 re)) |
(+.f64 2 (*.f64 2 re)) |
(+.f64 2 (*.f64 2 re)) |
(*.f64 2 re) |
(+.f64 2 (*.f64 2 re)) |
(+.f64 2 (*.f64 2 re)) |
(+.f64 2 (*.f64 2 re)) |
(+.f64 (*.f64 (cos.f64 im) (+.f64 2 (+.f64 re re))) 0) |
(+.f64 0 (*.f64 (cos.f64 im) (+.f64 2 (+.f64 re re)))) |
(+.f64 (*.f64 (cos.f64 im) (*.f64 (+.f64 2 (+.f64 re re)) 1/2)) (*.f64 (cos.f64 im) (*.f64 (+.f64 2 (+.f64 re re)) 1/2))) |
(+.f64 (*.f64 (/.f64 (+.f64 2 (+.f64 re re)) 4) (*.f64 (cos.f64 im) 2)) (*.f64 (/.f64 (+.f64 2 (+.f64 re re)) 4) (*.f64 (cos.f64 im) 2))) |
(+.f64 (*.f64 (/.f64 (cos.f64 im) 4) (+.f64 2 (+.f64 2 (*.f64 re 4)))) (*.f64 (/.f64 (cos.f64 im) 4) (+.f64 2 (+.f64 2 (*.f64 re 4))))) |
(+.f64 (*.f64 2 (*.f64 (+.f64 2 (+.f64 re re)) (/.f64 (cos.f64 im) 4))) (*.f64 2 (*.f64 (+.f64 2 (+.f64 re re)) (/.f64 (cos.f64 im) 4)))) |
(+.f64 (*.f64 (*.f64 (cos.f64 im) 2) (/.f64 (+.f64 2 (+.f64 re re)) 4)) (*.f64 (*.f64 (cos.f64 im) 2) (/.f64 (+.f64 2 (+.f64 re re)) 4))) |
(-.f64 (*.f64 (cos.f64 im) (+.f64 2 (+.f64 re re))) 0) |
(/.f64 (*.f64 (cos.f64 im) (+.f64 2 (+.f64 re re))) 1) |
(/.f64 (*.f64 (cos.f64 im) (+.f64 2 (+.f64 2 (*.f64 re 4)))) 2) |
(/.f64 (*.f64 (cos.f64 im) (*.f64 (+.f64 2 (+.f64 re re)) 4)) 4) |
(/.f64 (*.f64 (cos.f64 im) (*.f64 (+.f64 2 (+.f64 re re)) 8)) 8) |
(/.f64 (*.f64 (*.f64 (cos.f64 im) 2) (*.f64 (+.f64 2 (+.f64 re re)) 8)) 16) |
(/.f64 (*.f64 2 (*.f64 (*.f64 (cos.f64 im) 2) (*.f64 (+.f64 2 (+.f64 re re)) 8))) 32) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 im) 2) (*.f64 (+.f64 2 (+.f64 re re)) 8)))) 64) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 im) 2) (*.f64 (+.f64 2 (+.f64 re re)) 8))))) 128) |
(pow.f64 (*.f64 (cos.f64 im) (+.f64 2 (+.f64 re re))) 1) |
(-.f64 (+.f64 2 (+.f64 re re)) 0) |
(*.f64 2 (*.f64 (+.f64 2 (+.f64 re re)) 1/2)) |
(*.f64 (+.f64 2 (+.f64 re re)) 1) |
(*.f64 1 (+.f64 2 (+.f64 re re))) |
(*.f64 (+.f64 2 (+.f64 2 (*.f64 re 4))) 1/2) |
(*.f64 4 (/.f64 (+.f64 2 (+.f64 re re)) 4)) |
(*.f64 (*.f64 (+.f64 2 (+.f64 re re)) 4) 1/4) |
(*.f64 1/2 (+.f64 2 (+.f64 2 (*.f64 re 4)))) |
(*.f64 (*.f64 (+.f64 2 (+.f64 re re)) 1/2) 2) |
(*.f64 1/4 (*.f64 (+.f64 2 (+.f64 re re)) 4)) |
(*.f64 (/.f64 (+.f64 2 (+.f64 re re)) 4) 4) |
(/.f64 (+.f64 2 (+.f64 re re)) 1) |
(/.f64 (+.f64 2 (+.f64 2 (*.f64 re 4))) 2) |
(/.f64 (*.f64 (+.f64 2 (+.f64 re re)) 4) 4) |
(/.f64 (*.f64 (+.f64 2 (+.f64 re re)) 8) 8) |
(/.f64 (*.f64 2 (*.f64 (+.f64 2 (+.f64 re re)) 8)) 16) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 2 (+.f64 re re)) 8))) 32) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 2 (+.f64 re re)) 8)))) 64) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 2 (+.f64 re re)) 8))))) 128) |
(pow.f64 (+.f64 2 (+.f64 re re)) 1) |
| Outputs |
|---|
(+.f64 2 (*.f64 2 re)) |
(+.f64 2 (+.f64 (*.f64 2 re) (*.f64 -1/2 (*.f64 (+.f64 2 (*.f64 2 re)) (pow.f64 im 2))))) |
(+.f64 (*.f64 2 re) (+.f64 (*.f64 (+.f64 2 (*.f64 2 re)) (*.f64 (pow.f64 im 2) -1/2)) 2)) |
(+.f64 2 (+.f64 (*.f64 2 re) (*.f64 (+.f64 2 (*.f64 2 re)) (*.f64 -1/2 (pow.f64 im 2))))) |
(+.f64 (+.f64 2 (*.f64 2 re)) (*.f64 (+.f64 2 (*.f64 2 re)) (*.f64 -1/2 (pow.f64 im 2)))) |
(+.f64 2 (+.f64 (*.f64 2 re) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 2 (*.f64 2 re)) (pow.f64 im 2))) (*.f64 1/24 (*.f64 (+.f64 2 (*.f64 2 re)) (pow.f64 im 4)))))) |
(+.f64 2 (+.f64 (*.f64 (+.f64 2 (*.f64 2 re)) (*.f64 (pow.f64 im 2) -1/2)) (+.f64 (*.f64 (+.f64 2 (*.f64 2 re)) (*.f64 (pow.f64 im 4) 1/24)) (*.f64 2 re)))) |
(+.f64 2 (+.f64 (*.f64 2 re) (+.f64 (*.f64 (+.f64 2 (*.f64 2 re)) (*.f64 -1/2 (pow.f64 im 2))) (*.f64 (+.f64 2 (*.f64 2 re)) (*.f64 1/24 (pow.f64 im 4)))))) |
(+.f64 2 (+.f64 (*.f64 2 re) (*.f64 (+.f64 2 (*.f64 2 re)) (+.f64 (*.f64 1/24 (pow.f64 im 4)) (*.f64 -1/2 (pow.f64 im 2)))))) |
(+.f64 (*.f64 2 re) (+.f64 2 (*.f64 (+.f64 2 (*.f64 2 re)) (+.f64 (*.f64 -1/2 (pow.f64 im 2)) (*.f64 1/24 (pow.f64 im 4)))))) |
(+.f64 2 (+.f64 (*.f64 2 re) (*.f64 (+.f64 2 (*.f64 2 re)) (+.f64 (*.f64 -1/2 (pow.f64 im 2)) (*.f64 1/24 (pow.f64 im 4)))))) |
(+.f64 2 (+.f64 (*.f64 -1/720 (*.f64 (+.f64 2 (*.f64 2 re)) (pow.f64 im 6))) (+.f64 (*.f64 2 re) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 2 (*.f64 2 re)) (pow.f64 im 2))) (*.f64 1/24 (*.f64 (+.f64 2 (*.f64 2 re)) (pow.f64 im 4))))))) |
(+.f64 2 (+.f64 (+.f64 (*.f64 (+.f64 2 (*.f64 2 re)) (*.f64 (pow.f64 im 2) -1/2)) (+.f64 (*.f64 (+.f64 2 (*.f64 2 re)) (*.f64 (pow.f64 im 4) 1/24)) (*.f64 2 re))) (*.f64 (+.f64 2 (*.f64 2 re)) (*.f64 (pow.f64 im 6) -1/720)))) |
(+.f64 2 (+.f64 (+.f64 (*.f64 2 re) (+.f64 (*.f64 (+.f64 2 (*.f64 2 re)) (*.f64 -1/2 (pow.f64 im 2))) (*.f64 (+.f64 2 (*.f64 2 re)) (*.f64 1/24 (pow.f64 im 4))))) (*.f64 (+.f64 2 (*.f64 2 re)) (*.f64 -1/720 (pow.f64 im 6))))) |
(+.f64 2 (+.f64 (+.f64 (*.f64 2 re) (*.f64 (+.f64 2 (*.f64 2 re)) (+.f64 (*.f64 1/24 (pow.f64 im 4)) (*.f64 -1/2 (pow.f64 im 2))))) (*.f64 (+.f64 2 (*.f64 2 re)) (*.f64 -1/720 (pow.f64 im 6))))) |
(+.f64 2 (+.f64 (*.f64 2 re) (*.f64 (+.f64 2 (*.f64 2 re)) (+.f64 (*.f64 -1/720 (pow.f64 im 6)) (+.f64 (*.f64 -1/2 (pow.f64 im 2)) (*.f64 1/24 (pow.f64 im 4))))))) |
(*.f64 (+.f64 2 (*.f64 2 re)) (cos.f64 im)) |
(*.f64 2 (*.f64 (cos.f64 im) (+.f64 re 1))) |
(*.f64 (+.f64 2 (*.f64 2 re)) (cos.f64 im)) |
(*.f64 2 (*.f64 (cos.f64 im) (+.f64 re 1))) |
(*.f64 (+.f64 2 (*.f64 2 re)) (cos.f64 im)) |
(*.f64 2 (*.f64 (cos.f64 im) (+.f64 re 1))) |
(*.f64 (+.f64 2 (*.f64 2 re)) (cos.f64 im)) |
(*.f64 2 (*.f64 (cos.f64 im) (+.f64 re 1))) |
(*.f64 (+.f64 2 (*.f64 2 re)) (cos.f64 im)) |
(*.f64 2 (*.f64 (cos.f64 im) (+.f64 re 1))) |
(*.f64 (+.f64 2 (*.f64 2 re)) (cos.f64 im)) |
(*.f64 2 (*.f64 (cos.f64 im) (+.f64 re 1))) |
(*.f64 (+.f64 2 (*.f64 2 re)) (cos.f64 im)) |
(*.f64 2 (*.f64 (cos.f64 im) (+.f64 re 1))) |
(*.f64 (+.f64 2 (*.f64 2 re)) (cos.f64 im)) |
(*.f64 2 (*.f64 (cos.f64 im) (+.f64 re 1))) |
(*.f64 2 (cos.f64 im)) |
(+.f64 (*.f64 2 (*.f64 (cos.f64 im) re)) (*.f64 2 (cos.f64 im))) |
(*.f64 (+.f64 2 (*.f64 2 re)) (cos.f64 im)) |
(*.f64 2 (*.f64 (cos.f64 im) (+.f64 re 1))) |
(+.f64 (*.f64 2 (*.f64 (cos.f64 im) re)) (*.f64 2 (cos.f64 im))) |
(*.f64 (+.f64 2 (*.f64 2 re)) (cos.f64 im)) |
(*.f64 2 (*.f64 (cos.f64 im) (+.f64 re 1))) |
(+.f64 (*.f64 2 (*.f64 (cos.f64 im) re)) (*.f64 2 (cos.f64 im))) |
(*.f64 (+.f64 2 (*.f64 2 re)) (cos.f64 im)) |
(*.f64 2 (*.f64 (cos.f64 im) (+.f64 re 1))) |
(*.f64 2 (*.f64 (cos.f64 im) re)) |
(*.f64 2 (*.f64 re (cos.f64 im))) |
(+.f64 (*.f64 2 (*.f64 (cos.f64 im) re)) (*.f64 2 (cos.f64 im))) |
(*.f64 (+.f64 2 (*.f64 2 re)) (cos.f64 im)) |
(*.f64 2 (*.f64 (cos.f64 im) (+.f64 re 1))) |
(+.f64 (*.f64 2 (*.f64 (cos.f64 im) re)) (*.f64 2 (cos.f64 im))) |
(*.f64 (+.f64 2 (*.f64 2 re)) (cos.f64 im)) |
(*.f64 2 (*.f64 (cos.f64 im) (+.f64 re 1))) |
(+.f64 (*.f64 2 (*.f64 (cos.f64 im) re)) (*.f64 2 (cos.f64 im))) |
(*.f64 (+.f64 2 (*.f64 2 re)) (cos.f64 im)) |
(*.f64 2 (*.f64 (cos.f64 im) (+.f64 re 1))) |
(*.f64 2 (*.f64 (cos.f64 im) re)) |
(*.f64 2 (*.f64 re (cos.f64 im))) |
(+.f64 (*.f64 2 (*.f64 (cos.f64 im) re)) (*.f64 2 (cos.f64 im))) |
(*.f64 (+.f64 2 (*.f64 2 re)) (cos.f64 im)) |
(*.f64 2 (*.f64 (cos.f64 im) (+.f64 re 1))) |
(+.f64 (*.f64 2 (*.f64 (cos.f64 im) re)) (*.f64 2 (cos.f64 im))) |
(*.f64 (+.f64 2 (*.f64 2 re)) (cos.f64 im)) |
(*.f64 2 (*.f64 (cos.f64 im) (+.f64 re 1))) |
(+.f64 (*.f64 2 (*.f64 (cos.f64 im) re)) (*.f64 2 (cos.f64 im))) |
(*.f64 (+.f64 2 (*.f64 2 re)) (cos.f64 im)) |
(*.f64 2 (*.f64 (cos.f64 im) (+.f64 re 1))) |
2 |
(+.f64 2 (*.f64 2 re)) |
(+.f64 2 (*.f64 2 re)) |
(+.f64 2 (*.f64 2 re)) |
(*.f64 2 re) |
(+.f64 2 (*.f64 2 re)) |
(+.f64 2 (*.f64 2 re)) |
(+.f64 2 (*.f64 2 re)) |
(*.f64 2 re) |
(+.f64 2 (*.f64 2 re)) |
(+.f64 2 (*.f64 2 re)) |
(+.f64 2 (*.f64 2 re)) |
(+.f64 (*.f64 (cos.f64 im) (+.f64 2 (+.f64 re re))) 0) |
(*.f64 (cos.f64 im) (+.f64 2 (+.f64 re re))) |
(*.f64 (cos.f64 im) (+.f64 re (+.f64 2 re))) |
(+.f64 0 (*.f64 (cos.f64 im) (+.f64 2 (+.f64 re re)))) |
(*.f64 (cos.f64 im) (+.f64 2 (+.f64 re re))) |
(*.f64 (cos.f64 im) (+.f64 re (+.f64 2 re))) |
(+.f64 (*.f64 (cos.f64 im) (*.f64 (+.f64 2 (+.f64 re re)) 1/2)) (*.f64 (cos.f64 im) (*.f64 (+.f64 2 (+.f64 re re)) 1/2))) |
(*.f64 (cos.f64 im) (+.f64 2 (+.f64 re re))) |
(*.f64 (cos.f64 im) (+.f64 re (+.f64 2 re))) |
(+.f64 (*.f64 (/.f64 (+.f64 2 (+.f64 re re)) 4) (*.f64 (cos.f64 im) 2)) (*.f64 (/.f64 (+.f64 2 (+.f64 re re)) 4) (*.f64 (cos.f64 im) 2))) |
(*.f64 (cos.f64 im) (+.f64 2 (+.f64 re re))) |
(*.f64 (cos.f64 im) (+.f64 re (+.f64 2 re))) |
(+.f64 (*.f64 (/.f64 (cos.f64 im) 4) (+.f64 2 (+.f64 2 (*.f64 re 4)))) (*.f64 (/.f64 (cos.f64 im) 4) (+.f64 2 (+.f64 2 (*.f64 re 4))))) |
(*.f64 (+.f64 (*.f64 re 4) 4) (+.f64 (/.f64 (cos.f64 im) 4) (/.f64 (cos.f64 im) 4))) |
(*.f64 (cos.f64 im) (/.f64 (+.f64 4 (*.f64 re 4)) 2)) |
(+.f64 (*.f64 2 (*.f64 (+.f64 2 (+.f64 re re)) (/.f64 (cos.f64 im) 4))) (*.f64 2 (*.f64 (+.f64 2 (+.f64 re re)) (/.f64 (cos.f64 im) 4)))) |
(*.f64 (cos.f64 im) (+.f64 2 (+.f64 re re))) |
(*.f64 (cos.f64 im) (+.f64 re (+.f64 2 re))) |
(+.f64 (*.f64 (*.f64 (cos.f64 im) 2) (/.f64 (+.f64 2 (+.f64 re re)) 4)) (*.f64 (*.f64 (cos.f64 im) 2) (/.f64 (+.f64 2 (+.f64 re re)) 4))) |
(*.f64 (cos.f64 im) (+.f64 2 (+.f64 re re))) |
(*.f64 (cos.f64 im) (+.f64 re (+.f64 2 re))) |
(-.f64 (*.f64 (cos.f64 im) (+.f64 2 (+.f64 re re))) 0) |
(*.f64 (cos.f64 im) (+.f64 2 (+.f64 re re))) |
(*.f64 (cos.f64 im) (+.f64 re (+.f64 2 re))) |
(/.f64 (*.f64 (cos.f64 im) (+.f64 2 (+.f64 re re))) 1) |
(*.f64 (cos.f64 im) (+.f64 2 (+.f64 re re))) |
(*.f64 (cos.f64 im) (+.f64 re (+.f64 2 re))) |
(/.f64 (*.f64 (cos.f64 im) (+.f64 2 (+.f64 2 (*.f64 re 4)))) 2) |
(+.f64 (*.f64 (/.f64 (cos.f64 im) 4) (+.f64 2 (+.f64 2 (*.f64 re 4)))) (*.f64 (/.f64 (cos.f64 im) 4) (+.f64 2 (+.f64 2 (*.f64 re 4))))) |
(*.f64 (+.f64 (*.f64 re 4) 4) (+.f64 (/.f64 (cos.f64 im) 4) (/.f64 (cos.f64 im) 4))) |
(*.f64 (cos.f64 im) (/.f64 (+.f64 4 (*.f64 re 4)) 2)) |
(/.f64 (*.f64 (cos.f64 im) (*.f64 (+.f64 2 (+.f64 re re)) 4)) 4) |
(*.f64 (cos.f64 im) (+.f64 2 (+.f64 re re))) |
(*.f64 (cos.f64 im) (+.f64 re (+.f64 2 re))) |
(/.f64 (*.f64 (cos.f64 im) (*.f64 (+.f64 2 (+.f64 re re)) 8)) 8) |
(*.f64 (cos.f64 im) (+.f64 2 (+.f64 re re))) |
(*.f64 (cos.f64 im) (+.f64 re (+.f64 2 re))) |
(/.f64 (*.f64 (*.f64 (cos.f64 im) 2) (*.f64 (+.f64 2 (+.f64 re re)) 8)) 16) |
(*.f64 (cos.f64 im) (+.f64 2 (+.f64 re re))) |
(*.f64 (cos.f64 im) (+.f64 re (+.f64 2 re))) |
(/.f64 (*.f64 2 (*.f64 (*.f64 (cos.f64 im) 2) (*.f64 (+.f64 2 (+.f64 re re)) 8))) 32) |
(*.f64 (cos.f64 im) (+.f64 2 (+.f64 re re))) |
(*.f64 (cos.f64 im) (+.f64 re (+.f64 2 re))) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 im) 2) (*.f64 (+.f64 2 (+.f64 re re)) 8)))) 64) |
(*.f64 (cos.f64 im) (+.f64 2 (+.f64 re re))) |
(*.f64 (cos.f64 im) (+.f64 re (+.f64 2 re))) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 im) 2) (*.f64 (+.f64 2 (+.f64 re re)) 8))))) 128) |
(*.f64 (cos.f64 im) (+.f64 2 (+.f64 re re))) |
(*.f64 (cos.f64 im) (+.f64 re (+.f64 2 re))) |
(pow.f64 (*.f64 (cos.f64 im) (+.f64 2 (+.f64 re re))) 1) |
(*.f64 (cos.f64 im) (+.f64 2 (+.f64 re re))) |
(*.f64 (cos.f64 im) (+.f64 re (+.f64 2 re))) |
(-.f64 (+.f64 2 (+.f64 re re)) 0) |
(+.f64 2 (+.f64 re re)) |
(+.f64 re (+.f64 2 re)) |
(*.f64 2 (*.f64 (+.f64 2 (+.f64 re re)) 1/2)) |
(+.f64 2 (+.f64 re re)) |
(+.f64 re (+.f64 2 re)) |
(*.f64 (+.f64 2 (+.f64 re re)) 1) |
(+.f64 2 (+.f64 re re)) |
(+.f64 re (+.f64 2 re)) |
(*.f64 1 (+.f64 2 (+.f64 re re))) |
(+.f64 2 (+.f64 re re)) |
(+.f64 re (+.f64 2 re)) |
(*.f64 (+.f64 2 (+.f64 2 (*.f64 re 4))) 1/2) |
(*.f64 1/2 (+.f64 2 (+.f64 2 (*.f64 re 4)))) |
(*.f64 1/2 (+.f64 (*.f64 re 4) 4)) |
(*.f64 1/2 (+.f64 4 (*.f64 re 4))) |
(*.f64 4 (/.f64 (+.f64 2 (+.f64 re re)) 4)) |
(+.f64 2 (+.f64 re re)) |
(+.f64 re (+.f64 2 re)) |
(*.f64 (*.f64 (+.f64 2 (+.f64 re re)) 4) 1/4) |
(+.f64 2 (+.f64 re re)) |
(+.f64 re (+.f64 2 re)) |
(*.f64 1/2 (+.f64 2 (+.f64 2 (*.f64 re 4)))) |
(*.f64 1/2 (+.f64 (*.f64 re 4) 4)) |
(*.f64 1/2 (+.f64 4 (*.f64 re 4))) |
(*.f64 (*.f64 (+.f64 2 (+.f64 re re)) 1/2) 2) |
(+.f64 2 (+.f64 re re)) |
(+.f64 re (+.f64 2 re)) |
(*.f64 1/4 (*.f64 (+.f64 2 (+.f64 re re)) 4)) |
(+.f64 2 (+.f64 re re)) |
(+.f64 re (+.f64 2 re)) |
(*.f64 (/.f64 (+.f64 2 (+.f64 re re)) 4) 4) |
(+.f64 2 (+.f64 re re)) |
(+.f64 re (+.f64 2 re)) |
(/.f64 (+.f64 2 (+.f64 re re)) 1) |
(+.f64 2 (+.f64 re re)) |
(+.f64 re (+.f64 2 re)) |
(/.f64 (+.f64 2 (+.f64 2 (*.f64 re 4))) 2) |
(/.f64 (+.f64 (*.f64 re 4) 4) 2) |
(/.f64 (+.f64 4 (*.f64 re 4)) 2) |
(/.f64 (*.f64 (+.f64 2 (+.f64 re re)) 4) 4) |
(+.f64 2 (+.f64 re re)) |
(+.f64 re (+.f64 2 re)) |
(/.f64 (*.f64 (+.f64 2 (+.f64 re re)) 8) 8) |
(+.f64 2 (+.f64 re re)) |
(+.f64 re (+.f64 2 re)) |
(/.f64 (*.f64 2 (*.f64 (+.f64 2 (+.f64 re re)) 8)) 16) |
(+.f64 2 (+.f64 re re)) |
(+.f64 re (+.f64 2 re)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 2 (+.f64 re re)) 8))) 32) |
(+.f64 2 (+.f64 re re)) |
(+.f64 re (+.f64 2 re)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 2 (+.f64 re re)) 8)))) 64) |
(+.f64 2 (+.f64 re re)) |
(+.f64 re (+.f64 2 re)) |
(/.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 2 (+.f64 re re)) 8))))) 128) |
(+.f64 2 (+.f64 re re)) |
(+.f64 re (+.f64 2 re)) |
(pow.f64 (+.f64 2 (+.f64 re re)) 1) |
(+.f64 2 (+.f64 re re)) |
(+.f64 re (+.f64 2 re)) |
Compiled 1235 to 904 computations (26.8% saved)
9 alts after pruning (1 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 71 | 0 | 71 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 7 | 7 |
| Total | 71 | 9 | 80 |
| Status | Error | Program |
|---|---|---|
| ✓ | 20.1b | (/.f64 (*.f64 (cos.f64 im) (+.f64 re (+.f64 re 2))) 2) |
| ✓ | 20.1b | (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)) |
| ✓ | 20.8b | (+.f64 re (cos.f64 im)) |
| ✓ | 42.6b | (+.f64 re 1) |
| ✓ | 20.1b | (*.f64 (+.f64 re 1) (cos.f64 im)) |
| ✓ | 0.0b | (*.f64 (exp.f64 re) (cos.f64 im)) |
| ✓ | 22.9b | (exp.f64 re) |
| ✓ | 20.6b | (cos.f64 im) |
| 61.8b | re |
Compiled 58 to 41 computations (29.3% saved)
| Inputs |
|---|
re |
(+.f64 re 1) |
(cos.f64 im) |
(exp.f64 re) |
(+.f64 re (cos.f64 im)) |
(*.f64 (+.f64 re 1) (cos.f64 im)) |
(/.f64 (*.f64 (cos.f64 im) (+.f64 re (+.f64 re 2))) 2) |
(*.f64 (exp.f64 re) (cos.f64 im)) |
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)) |
| Outputs |
|---|
(*.f64 (exp.f64 re) (cos.f64 im)) |
5 calls:
| 7.0ms | (cos.f64 im) |
| 6.0ms | re |
| 6.0ms | im |
| 5.0ms | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 2.0ms | (exp.f64 re) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | re |
| 0.0b | 1 | im |
| 0.0b | 1 | (*.f64 (exp.f64 re) (cos.f64 im)) |
| 0.0b | 1 | (exp.f64 re) |
| 0.0b | 1 | (cos.f64 im) |
Compiled 63 to 34 computations (46% saved)
| Inputs |
|---|
re |
(+.f64 re 1) |
(cos.f64 im) |
(exp.f64 re) |
(+.f64 re (cos.f64 im)) |
(*.f64 (+.f64 re 1) (cos.f64 im)) |
(/.f64 (*.f64 (cos.f64 im) (+.f64 re (+.f64 re 2))) 2) |
| Outputs |
|---|
(exp.f64 re) |
(*.f64 (+.f64 re 1) (cos.f64 im)) |
4 calls:
| 203.0ms | im |
| 91.0ms | (cos.f64 im) |
| 11.0ms | re |
| 4.0ms | (exp.f64 re) |
| Error | Segments | Branch |
|---|---|---|
| 0.4b | 2 | re |
| 9.9b | 7 | im |
| 0.4b | 2 | (exp.f64 re) |
| 11.9b | 4 | (cos.f64 im) |
Compiled 44 to 26 computations (40.9% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999722260736387 | 0.9999999022147752 |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
re |
(+.f64 re 1) |
(cos.f64 im) |
(exp.f64 re) |
(+.f64 re (cos.f64 im)) |
| Outputs |
|---|
(exp.f64 re) |
(+.f64 re (cos.f64 im)) |
4 calls:
| 51.0ms | im |
| 15.0ms | (cos.f64 im) |
| 14.0ms | re |
| 4.0ms | (exp.f64 re) |
| Error | Segments | Branch |
|---|---|---|
| 1.1b | 2 | re |
| 10.4b | 7 | im |
| 1.1b | 2 | (exp.f64 re) |
| 12.4b | 4 | (cos.f64 im) |
Compiled 28 to 17 computations (39.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999722260736387 | 0.9999999022147752 |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
re |
(+.f64 re 1) |
(cos.f64 im) |
(exp.f64 re) |
| Outputs |
|---|
(exp.f64 re) |
(cos.f64 im) |
4 calls:
| 26.0ms | im |
| 14.0ms | (cos.f64 im) |
| 8.0ms | re |
| 3.0ms | (exp.f64 re) |
| Error | Segments | Branch |
|---|---|---|
| 1.1b | 2 | re |
| 10.5b | 7 | im |
| 1.1b | 2 | (exp.f64 re) |
| 12.5b | 4 | (cos.f64 im) |
Compiled 24 to 16 computations (33.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999722260736387 | 0.9999999022147752 |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
re |
(+.f64 re 1) |
(cos.f64 im) |
| Outputs |
|---|
(cos.f64 im) |
3 calls:
| 4.0ms | im |
| 3.0ms | re |
| 3.0ms | (cos.f64 im) |
| Error | Segments | Branch |
|---|---|---|
| 20.6b | 1 | re |
| 20.6b | 1 | im |
| 20.6b | 1 | (cos.f64 im) |
Compiled 18 to 12 computations (33.3% saved)
Total -19.5b remaining (-45.7%)
Threshold costs -19.5b (-45.7%)
| Inputs |
|---|
re |
(+.f64 re 1) |
| Outputs |
|---|
(+.f64 re 1) |
2 calls:
| 4.0ms | im |
| 3.0ms | re |
| Error | Segments | Branch |
|---|---|---|
| 42.6b | 1 | re |
| 42.6b | 1 | im |
Compiled 12 to 8 computations (33.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 115 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (exp.f64 re) (cos.f64 im)) |
(if (<=.f64 (exp.f64 re) 9007019110755897/9007199254740992) (exp.f64 re) (*.f64 (+.f64 re 1) (cos.f64 im))) |
(if (<=.f64 (exp.f64 re) 9007019110755897/9007199254740992) (exp.f64 re) (+.f64 re (cos.f64 im))) |
(if (<=.f64 (exp.f64 re) 9007019110755897/9007199254740992) (exp.f64 re) (cos.f64 im)) |
(cos.f64 im) |
(+.f64 re 1) |
re |
| Outputs |
|---|
(*.f64 (exp.f64 re) (cos.f64 im)) |
(if (<=.f64 (exp.f64 re) 9007019110755897/9007199254740992) (exp.f64 re) (*.f64 (+.f64 re 1) (cos.f64 im))) |
(if (<=.f64 (exp.f64 re) 9007019110755897/9007199254740992) (exp.f64 re) (+.f64 re (cos.f64 im))) |
(if (<=.f64 (exp.f64 re) 9007019110755897/9007199254740992) (exp.f64 re) (cos.f64 im)) |
(cos.f64 im) |
(+.f64 re 1) |
re |
Compiled 58 to 39 computations (32.8% saved)
Compiled 46 to 20 computations (56.5% saved)
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