Details

sample41.0ms

Algorithm

intervals

Results

13.0ms	42×	body	1280	valid
8.0ms	46×	body	640	valid
8.0ms	223×	body	80	valid
2.0ms	17×	body	320	valid
1.0ms	7×	body	160	valid

simplify4.0ms

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

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize6.0ms

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×	`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:

5.0ms

(* (exp re) (sin im))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(* (exp re) (sin im))

simplify174.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (32.0ms)

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

prune41.0ms

Filtered

23 candidates to 16 candidates (69.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	20	3	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	4	24

Merged error: 0b

Counts

24 → 4

localize14.0ms

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))

rewrite12.0ms

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:

6.0ms	(* (cbrt (sin im)) (cbrt (sin im)))
1.0ms	(cbrt (sin im))
1.0ms	(cbrt (sin im))
2.0ms	(cbrt (sin im))

series414.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(* (cbrt (sin im)) (cbrt (sin im)))
98.0ms	(cbrt (sin im))
99.0ms	(cbrt (sin im))
98.0ms	(cbrt (sin im))

simplify97.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	160	483
1	568	430
2	3134	398
3	5001	392

prune203.0ms

Filtered

93 candidates to 68 candidates (73.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	93	4	97

Merged error: 0b

Counts

97 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (exp re) (sin im))
0.3b	(pow (* (exp re) (sin im)) 3)
15.9b	(cbrt (pow (* (exp re) (sin im)) 3))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
8×	`pow1` `cbrt-prod` `add-cbrt-cube`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log`
3×	`expm1-log1p-u` `pow-unpow` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `*-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

5.0ms	(* (exp re) (sin im))
5.0ms	(pow (* (exp re) (sin im)) 3)
2.0ms	(cbrt (pow (* (exp re) (sin im)) 3))

series126.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* (exp re) (sin im))
54.0ms	(pow (* (exp re) (sin im)) 3)
36.0ms	(cbrt (pow (* (exp re) (sin im)) 3))

simplify34.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	182	337
1	792	319
2	5002	316

prune128.0ms

Filtered

72 candidates to 48 candidates (66.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	72	4	76

Merged error: 0b

Counts

76 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
14×	`add-sqr-sqrt`
12×	`pow1/2`
10×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-up`
8×	`add-cbrt-cube`
7×	`add-exp-log` `associate-r` `associate-l`
6×	`sqrt-prod` `pow-sqr`
4×	`expm1-log1p-u` `swap-sqr` `log1p-expm1-u` `add-log-exp`
2×	`prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 97

Calls

4 calls:

5.0ms	(* (exp re) (sin im))
4.0ms	(sqrt (* (exp re) (sin im)))
4.0ms	(sqrt (* (exp re) (sin im)))
11.0ms	(* (sqrt (* (exp re) (sin im))) (sqrt (* (exp re) (sin im))))

series193.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (exp re) (sin im))
52.0ms	(sqrt (* (exp re) (sin im)))
58.0ms	(sqrt (* (exp re) (sin im)))
42.0ms	(* (sqrt (* (exp re) (sin im))) (sqrt (* (exp re) (sin im))))

simplify38.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	196	490
1	835	432
2	5001	410

prune164.0ms

Filtered

109 candidates to 61 candidates (56.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	109	4	113

Merged error: 0b

Counts

113 → 4

regimes99.0ms

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

sample1.2s

Algorithm

intervals

Results

458.0ms	1505×	body	1280	valid
262.0ms	6933×	body	80	valid
220.0ms	1238×	body	640	valid
72.0ms	615×	body	320	valid
26.0ms	299×	body	160	valid