Details

sample47.0ms

Algorithm

intervals

Results

14.0ms	42×	body	1280	valid
10.0ms	51×	body	640	valid
9.0ms	220×	body	80	valid
3.0ms	20×	body	320	valid
1.0ms	15×	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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

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:

42.0ms

(* (exp re) (sin im))

simplify164.0ms

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

prune34.0ms

Filtered

21 candidates to 14 candidates (66.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	18	3	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	4	22

Merged error: 0.0b

Counts

22 → 4

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (exp re) (sin im))
0.2b	(pow (* (exp re) (sin im)) 3)
11.4b	(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×	`pow-unpow` `associate-r` `associate-l` `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 → 57

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))

series125.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify34.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	173	312
1	761	294
2	5002	291

prune115.0ms

Filtered

66 candidates to 41 candidates (62.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	66	4	70

Merged error: 0.0b

Counts

70 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (pow (exp re) 3) (pow (sin im) 3))
0.0b	(pow (exp re) 3)
0.4b	(pow (sin im) 3)
11.4b	(cbrt (* (pow (exp re) 3) (pow (sin im) 3)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
20×	`unpow-prod-down` `cube-prod`
17×	`add-cube-cbrt` `*-un-lft-identity`
16×	`unswap-sqr`
14×	`add-exp-log`
12×	`associate-r` `associate-l` `sqr-pow`
9×	`prod-exp`
8×	`pow-to-exp` `pow-exp` `add-cbrt-cube`
6×	`pow1` `pow-unpow`
5×	`pow-pow`
4×	`cube-mult` `unpow3` `add-log-exp`
3×	`exp-prod`
2×	`pow-prod-down` `rem-cube-cbrt`
1×	`cbrt-prod` `pow1/3` `*-commutative` `rem-cbrt-cube` `cbrt-unprod`

Counts

4 → 118

Calls

4 calls:

9.0ms	(* (pow (exp re) 3) (pow (sin im) 3))
3.0ms	(pow (exp re) 3)
3.0ms	(pow (sin im) 3)
5.0ms	(cbrt (* (pow (exp re) 3) (pow (sin im) 3)))

series150.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (pow (exp re) 3) (pow (sin im) 3))
22.0ms	(pow (exp re) 3)
29.0ms	(pow (sin im) 3)
41.0ms	(cbrt (* (pow (exp re) 3) (pow (sin im) 3)))

simplify69.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	314	690
1	1582	650
2	5002	604

prune189.0ms

Filtered

130 candidates to 65 candidates (50.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	130	4	134

Merged error: 0.0b

Counts

134 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp re) (sin im))
0.1b	(* (sqrt (* (exp re) (sin im))) (sqrt (* (exp re) (sin im))))
0.5b	(sqrt (* (exp re) (sin im)))
0.5b	(sqrt (* (exp re) (sin im)))

rewrite26.0ms

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×	`swap-sqr` `add-log-exp`
2×	`prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 89

Calls

4 calls:

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

series356.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (exp re) (sin im))
214.0ms	(* (sqrt (* (exp re) (sin im))) (sqrt (* (exp re) (sin im))))
51.0ms	(sqrt (* (exp re) (sin im)))
56.0ms	(sqrt (* (exp re) (sin im)))

simplify36.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	186	458
1	778	398
2	5002	376

prune135.0ms

Filtered

101 candidates to 53 candidates (52.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	101	4	105

Merged error: 0.0b

Counts

105 → 4

regimes97.0ms

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

sample1.4s

Algorithm

intervals

Results

524.0ms	1573×	body	1280	valid
288.0ms	6865×	body	80	valid
257.0ms	1264×	body	640	valid
83.0ms	643×	body	320	valid
27.0ms	307×	body	160	valid