Details

sample44.0ms

Algorithm

intervals

Results

18.0ms	52×	body	1280	valid
7.0ms	206×	body	80	valid
6.0ms	33×	body	640	valid
3.0ms	23×	body	320	valid
1.0ms	12×	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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (exp re) (sin im))

rewrite6.0ms

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×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 18

Calls

1 calls:

6.0ms

(* (exp re) (sin im))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(* (exp re) (sin im))

simplify161.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	87	100
1	289	86
2	1099	86
3	4640	86
4	5001	86

prune44.0ms

Filtered

21 candidates to 14 candidates (66.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (exp re)) (sin im))
0.0b	(sqrt (exp re))
0.0b	(sqrt (exp re))
0.0b	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
12×	`associate-l`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1`
6×	`exp-prod`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

8.0ms	(* (sqrt (exp re)) (sin im))
1.0ms	(sqrt (exp re))
1.0ms	(sqrt (exp re))
24.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

series107.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (sqrt (exp re)) (sin im))
11.0ms	(sqrt (exp re))
11.0ms	(sqrt (exp re))
36.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

simplify58.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	173	428
1	642	372
2	2307	370
3	5001	359

prune210.0ms

Filtered

87 candidates to 59 candidates (67.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (exp re)) (* (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re)))) (sin im)))
0.0b	(* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re))))
0.2b	(sqrt (sqrt (exp re)))
0.2b	(sqrt (sqrt (exp re)))

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

89×	`sqrt-prod`
88×	`sqrt-pow1`
64×	`add-sqr-sqrt`
40×	`pow1`
30×	`add-cube-cbrt` `*-un-lft-identity`
24×	`exp-prod`
20×	`pow1/2`
15×	`add-exp-log` `swap-sqr` `associate-l` `add-cbrt-cube`
14×	`pow-prod-down`
12×	`pow-prod-up`
10×	`associate-r`
9×	`unswap-sqr`
8×	`pow-sqr`
7×	`prod-exp` `cbrt-unprod`
4×	`rem-sqrt-square` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 152

Calls

4 calls:

184.0ms	(* (sqrt (exp re)) (* (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re)))) (sin im)))
19.0ms	(* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re))))
2.0ms	(sqrt (sqrt (exp re)))
2.0ms	(sqrt (sqrt (exp re)))

series244.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (sqrt (exp re)) (* (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re)))) (sin im)))
19.0ms	(* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re))))
88.0ms	(sqrt (sqrt (exp re)))
90.0ms	(sqrt (sqrt (exp re)))

simplify57.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	317	842
1	1373	662
2	5002	632

prune290.0ms

Filtered

164 candidates to 83 candidates (50.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp re))
0.2b	(* (sqrt (* (sqrt (exp re)) (sin im))) (sqrt (* (sqrt (exp re)) (sin im))))
0.2b	(sqrt (* (sqrt (exp re)) (sin im)))
0.2b	(sqrt (* (sqrt (exp re)) (sin im)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

60×	`pow1`
36×	`sqrt-pow1`
22×	`pow-prod-down`
13×	`add-sqr-sqrt` `pow1/2`
10×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-up`
9×	`sqrt-prod`
6×	`add-exp-log` `pow-sqr` `add-cbrt-cube`
4×	`swap-sqr` `associate-r` `associate-l` `add-log-exp`
3×	`exp-prod`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

1.0ms	(sqrt (exp re))
36.0ms	(* (sqrt (* (sqrt (exp re)) (sin im))) (sqrt (* (sqrt (exp re)) (sin im))))
5.0ms	(sqrt (* (sqrt (exp re)) (sin im)))
5.0ms	(sqrt (* (sqrt (exp re)) (sin im)))

series209.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(sqrt (exp re))
49.0ms	(* (sqrt (* (sqrt (exp re)) (sin im))) (sqrt (* (sqrt (exp re)) (sin im))))
74.0ms	(sqrt (* (sqrt (exp re)) (sin im)))
75.0ms	(sqrt (* (sqrt (exp re)) (sin im)))

simplify233.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (227.0ms)

Iter	Nodes	Cost
0	178	523
1	660	442
2	4369	420
3	5001	413

prune195.0ms

Filtered

99 candidates to 57 candidates (57.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes90.0ms

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	11	12
1	11	12

end0.0ms

sample1.2s

Algorithm

intervals

Results

466.0ms	1515×	body	1280	valid
244.0ms	6950×	body	80	valid
217.0ms	1241×	body	640	valid
68.0ms	610×	body	320	valid
25.0ms	325×	body	160	valid