Details

sample42.0ms

Algorithm

intervals

Results

16.0ms	54×	body	1280	valid
7.0ms	223×	body	80	valid
6.0ms	40×	body	640	valid
3.0ms	24×	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

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) (cos 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) (cos im))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(* (exp re) (cos im))

simplify149.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	79	98
1	264	85
2	1020	85
3	4106	85
4	5002	85

prune37.0ms

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: 0b

Counts

22 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

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:

6.0ms	(* (sqrt (exp re)) (cos im))
2.0ms	(sqrt (exp re))
2.0ms	(sqrt (exp re))
10.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))

series98.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (sqrt (exp re)) (cos im))
11.0ms	(sqrt (exp re))
11.0ms	(sqrt (exp re))
35.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))

simplify61.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	153	424
1	579	370
2	2129	368
3	5001	358

prune136.0ms

Filtered

87 candidates to 59 candidates (67.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	87	4	91

Merged error: 0b

Counts

91 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

6.0ms	(* (cbrt (exp re)) (cbrt (exp re)))
2.0ms	(cbrt (exp re))
2.0ms	(cbrt (exp re))
2.0ms	(cbrt (exp re))

series316.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* (cbrt (exp re)) (cbrt (exp re)))
74.0ms	(cbrt (exp re))
75.0ms	(cbrt (exp re))
76.0ms	(cbrt (exp re))

simplify61.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	112	437
1	362	400
2	1731	367
3	5001	339

prune204.0ms

Filtered

85 candidates to 56 candidates (65.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	85	4	89

Merged error: 0b

Counts

89 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (log (cos im)) re)
0.0b	(exp (+ (log (cos im)) re))
1.1b	(log (cos im))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
6×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `log-prod` `add-log-exp`
5×	`exp-prod`
4×	`add-exp-log` `distribute-lft-out`
3×	`associate-+l+` `log-pow` `add-cbrt-cube`
2×	`sum-log` `rem-exp-log`
1×	`+-commutative` `flip3-+` `rem-log-exp` `exp-sum` `flip-+`

Counts

3 → 43

Calls

3 calls:

4.0ms	(+ (log (cos im)) re)
5.0ms	(exp (+ (log (cos im)) re))
2.0ms	(log (cos im))

series171.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(+ (log (cos im)) re)
39.0ms	(exp (+ (log (cos im)) re))
85.0ms	(log (cos im))

simplify161.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 3 (36.0ms)

Iter	Nodes	Cost
0	146	223
1	391	203
2	1214	202
3	4540	201
4	5001	201

prune77.0ms

Filtered

52 candidates to 35 candidates (67.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	52	4	56

Merged error: 0b

Counts

56 → 4

regimes89.0ms

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

476.0ms	1541×	body	1280	valid
242.0ms	6930×	body	80	valid
220.0ms	1226×	body	640	valid
66.0ms	593×	body	320	valid
24.0ms	311×	body	160	valid