Details

sample44.0ms

Algorithm

intervals

Results

17.0ms	57×	body	1280	valid
8.0ms	223×	body	80	valid
6.0ms	34×	body	640	valid
3.0ms	22×	body	320	valid
1.0ms	11×	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:

5.0ms

(* (exp re) (sin im))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(* (exp re) (sin im))

simplify162.0ms

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

prune39.0ms

Filtered

21 candidates to 14 candidates (66.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
25×	`pow1`
23×	`cbrt-prod`
20×	`add-exp-log`
16×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-l`
11×	`pow-prod-down` `add-cbrt-cube`
10×	`associate-r` `prod-exp` `cbrt-unprod`
7×	`pow1/3`
6×	`swap-sqr` `unswap-sqr`
4×	`add-log-exp`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 95

Calls

4 calls:

2.0ms	(cbrt (exp re))
10.0ms	(* (* (cbrt (exp re)) (cbrt (exp re))) (* (cbrt (exp re)) (sin im)))
5.0ms	(* (cbrt (exp re)) (sin im))
6.0ms	(* (cbrt (exp re)) (cbrt (exp re)))

series270.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(cbrt (exp re))
36.0ms	(* (* (cbrt (exp re)) (cbrt (exp re))) (* (cbrt (exp re)) (sin im)))
66.0ms	(* (cbrt (exp re)) (sin im))
92.0ms	(* (cbrt (exp re)) (cbrt (exp re)))

simplify40.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	256	771
1	993	623
2	5001	555

prune215.0ms

Filtered

107 candidates to 65 candidates (60.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (pow (exp re) 2)) (* (cbrt (exp re)) (sin im)))
0.0b	(cbrt (pow (exp re) 2))
0.0b	(* (cbrt (exp re)) (sin im))
0.0b	(pow (exp re) 2)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
19×	`add-sqr-sqrt`
17×	`associate-l`
15×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
11×	`add-exp-log`
9×	`unpow-prod-down`
7×	`add-cbrt-cube`
4×	`pow-pow` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow-unpow` `exp-prod` `unpow2` `sqr-pow`
2×	`*-commutative` `unswap-sqr`
1×	`pow-to-exp` `pow1/3` `pow-exp`

Counts

4 → 85

Calls

4 calls:

8.0ms	(* (cbrt (pow (exp re) 2)) (* (cbrt (exp re)) (sin im)))
2.0ms	(cbrt (pow (exp re) 2))
5.0ms	(* (cbrt (exp re)) (sin im))
3.0ms	(pow (exp re) 2)

series211.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (cbrt (pow (exp re) 2)) (* (cbrt (exp re)) (sin im)))
93.0ms	(cbrt (pow (exp re) 2))
69.0ms	(* (cbrt (exp re)) (sin im))
13.0ms	(pow (exp re) 2)

simplify193.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	275	573
1	1013	503
2	4965	497
3	5002	497

prune263.0ms

Filtered

97 candidates to 69 candidates (71.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp re))
0.0b	(* (cbrt (exp re)) (sin im))
0.0b	(* (pow (exp re) 2/3) (* (cbrt (exp re)) (sin im)))
0.0b	(pow (exp re) 2/3)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log` `add-sqr-sqrt`
13×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
10×	`prod-exp`
9×	`add-cbrt-cube`
7×	`pow1` `cbrt-prod`
6×	`unpow-prod-down`
4×	`pow-pow` `associate-r` `cbrt-unprod` `add-log-exp`
3×	`pow-to-exp` `pow-unpow` `exp-prod` `pow-exp`
2×	`*-commutative` `unswap-sqr` `sqr-pow`
1×	`pow1/3` `pow-prod-down`

Counts

4 → 77

Calls

4 calls:

2.0ms	(cbrt (exp re))
5.0ms	(* (cbrt (exp re)) (sin im))
8.0ms	(* (pow (exp re) 2/3) (* (cbrt (exp re)) (sin im)))
3.0ms	(pow (exp re) 2/3)

series261.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(cbrt (exp re))
69.0ms	(* (cbrt (exp re)) (sin im))
37.0ms	(* (pow (exp re) 2/3) (* (cbrt (exp re)) (sin im)))
79.0ms	(pow (exp re) 2/3)

simplify37.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	264	503
1	966	445
2	5001	413

prune221.0ms

Filtered

89 candidates to 64 candidates (71.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes71.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	8
1	12	8

end0.0ms

sample1.3s

Algorithm

intervals

Results

453.0ms	1468×	body	1280	valid
262.0ms	7047×	body	80	valid
219.0ms	1240×	body	640	valid
74.0ms	656×	body	320	valid
29.0ms	330×	body	160	valid