Details

sample43.0ms

Algorithm

intervals

Results

14.0ms	46×	body	1280	valid
9.0ms	244×	body	80	valid
6.0ms	33×	body	640	valid
3.0ms	24×	body	320	valid
1.0ms	13×	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

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))

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))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(* (exp re) (sin im))

simplify169.0ms

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

prune36.0ms

Filtered

21 candidates to 14 candidates (66.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	3	22

Merged error: 0.0b

Counts

22 → 3

localize9.0ms

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

rewrite31.0ms

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))
15.0ms	(* (* (cbrt (exp re)) (cbrt (exp re))) (* (cbrt (exp re)) (sin im)))
6.0ms	(* (cbrt (exp re)) (cbrt (exp re)))
5.0ms	(* (cbrt (exp re)) (sin im))

series274.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(cbrt (exp re))
41.0ms	(* (* (cbrt (exp re)) (cbrt (exp re))) (* (cbrt (exp re)) (sin im)))
92.0ms	(* (cbrt (exp re)) (cbrt (exp re)))
65.0ms	(* (cbrt (exp re)) (sin im))

simplify41.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	256	771
1	995	623
2	5001	555

prune235.0ms

Filtered

107 candidates to 65 candidates (60.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	107	3	110

Merged error: 0b

Counts

110 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp re))
0.0b	(* (pow (pow (sqrt (cbrt (exp re))) 4) 1) (* (cbrt (exp re)) (sin im)))
0.0b	(* (cbrt (exp re)) (sin im))
0.0b	(pow (sqrt (cbrt (exp re))) 4)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

31×	`unpow-prod-down`
28×	`add-exp-log`
23×	`associate-l`
21×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
16×	`prod-exp`
13×	`cbrt-prod`
12×	`sqrt-prod`
11×	`pow1`
9×	`pow-exp` `add-cbrt-cube`
5×	`pow-to-exp`
4×	`pow-pow` `associate-r` `pow-prod-down` `cbrt-unprod` `add-log-exp`
3×	`pow-unpow` `sqr-pow`
2×	`sqrt-pow1` `pow1/3` `*-commutative` `unswap-sqr`
1×	`pow1/2` `sqrt-pow2`

Counts

4 → 100

Calls

4 calls:

2.0ms	(cbrt (exp re))
12.0ms	(* (pow (pow (sqrt (cbrt (exp re))) 4) 1) (* (cbrt (exp re)) (sin im)))
5.0ms	(* (cbrt (exp re)) (sin im))
4.0ms	(pow (sqrt (cbrt (exp re))) 4)

series301.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(cbrt (exp re))
41.0ms	(* (pow (pow (sqrt (cbrt (exp re))) 4) 1) (* (cbrt (exp re)) (sin im)))
67.0ms	(* (cbrt (exp re)) (sin im))
96.0ms	(pow (sqrt (cbrt (exp re))) 4)

simplify54.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	369	844
1	1404	709
2	5001	623

prune262.0ms

Filtered

112 candidates to 73 candidates (65.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	112	3	115

Merged error: 0b

Counts

115 → 3

regimes95.0ms

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

493.0ms	1523×	body	1280	valid
290.0ms	6903×	body	80	valid
233.0ms	1231×	body	640	valid
91.0ms	666×	body	320	valid
25.0ms	297×	body	160	valid