Details

sample43.0ms

Algorithm

intervals

Results

12.0ms	42×	body	1280	valid
7.0ms	219×	body	80	valid
7.0ms	39×	body	640	valid
3.0ms	28×	body	320	valid
1.0ms	15×	body	160	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize6.0ms

Local error

Found 1 expressions with local error:

0.3b	(* (exp re) (sin im))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`add-exp-log`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 20

Calls

1 calls:

18.0ms

(* (exp re) (sin im))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(* (exp re) (sin im))

simplify168.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	91	106
1	300	93
2	1154	93
3	4869	92
4	5001	92

prune49.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin im)) (cbrt (sin im)))
0.6b	(cbrt (sin im))
0.6b	(cbrt (sin im))
0.6b	(cbrt (sin im))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

14.0ms	(* (cbrt (sin im)) (cbrt (sin im)))
1.0ms	(cbrt (sin im))
1.0ms	(cbrt (sin im))
1.0ms	(cbrt (sin im))

series410.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(* (cbrt (sin im)) (cbrt (sin im)))
98.0ms	(cbrt (sin im))
97.0ms	(cbrt (sin im))
101.0ms	(cbrt (sin im))

simplify93.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	160	483
1	568	430
2	3134	402
3	5002	397

prune225.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (log (sin im)) re)
0.5b	(log (sin im))
1.1b	(exp (+ (log (sin im)) re))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
7×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
6×	`log-prod` `add-log-exp`
5×	`exp-prod`
4×	`add-exp-log` `fma-def` `log-pow` `distribute-lft-out`
3×	`expm1-log1p-u` `associate-+l+` `add-cbrt-cube` `log1p-expm1-u`
2×	`sum-log` `rem-exp-log`
1×	`+-commutative` `flip3-+` `rem-log-exp` `exp-sum` `flip-+`

Counts

3 → 53

Calls

3 calls:

11.0ms	(+ (log (sin im)) re)
2.0ms	(log (sin im))
19.0ms	(exp (+ (log (sin im)) re))

series139.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(+ (log (sin im)) re)
59.0ms	(log (sin im))
34.0ms	(exp (+ (log (sin im)) re))

simplify113.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 4 (110.0ms)

Iter	Nodes	Cost
0	163	248
1	430	226
2	1323	226
3	4303	224
4	5001	223

prune130.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(log (sin im))
0.5b	(log (sin im))
1.1b	(exp (+ (log (sin im)) re))
1.1b	(exp (+ (log (sin im)) re))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
10×	`exp-prod`
8×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
6×	`add-exp-log` `log-prod`
4×	`expm1-log1p-u` `log-pow` `add-cbrt-cube` `log1p-expm1-u` `rem-exp-log` `distribute-lft-out`
2×	`rem-log-exp` `exp-sum` `sum-log`

Counts

4 → 62

Calls

4 calls:

2.0ms	(log (sin im))
2.0ms	(log (sin im))
19.0ms	(exp (+ (log (sin im)) re))
22.0ms	(exp (+ (log (sin im)) re))

series186.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(log (sin im))
54.0ms	(log (sin im))
38.0ms	(exp (+ (log (sin im)) re))
35.0ms	(exp (+ (log (sin im)) re))

simplify99.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 4 (95.0ms)

Iter	Nodes	Cost
0	100	304
1	252	268
2	819	268
3	3001	264
4	5001	262

prune201.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes102.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

end0.0ms

sample1.3s

Algorithm

intervals

Results

446.0ms	1485×	body	1280	valid
250.0ms	6912×	body	80	valid
226.0ms	1288×	body	640	valid
68.0ms	614×	body	320	valid
25.0ms	320×	body	160	valid