Details

sample60.0ms

Algorithm

intervals

Results

21.0ms	48×	body	1280	valid
10.0ms	42×	body	640	valid
9.0ms	225×	body	80	valid
3.0ms	20×	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

prune3.0ms

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) (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))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(* (exp re) (cos im))

simplify136.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (3.0ms)

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

prune24.0ms

Filtered

14 candidates to 21 candidates (-50.0%)

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

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (exp re) (cos im))
0.2b	(pow (* (exp re) (cos im)) 3)
0.2b	(cbrt (pow (* (exp re) (cos im)) 3))

rewrite16.0ms

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) (cos im))
5.0ms	(pow (* (exp re) (cos im)) 3)
5.0ms	(cbrt (pow (* (exp re) (cos im)) 3))

series29.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(* (exp re) (cos im))
14.0ms	(pow (* (exp re) (cos im)) 3)
8.0ms	(cbrt (pow (* (exp re) (cos im)) 3))

simplify238.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	151	303
1	649	288
2	4789	287
3	5001	287

prune69.0ms

Filtered

41 candidates to 66 candidates (-61.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	66	3	69

Merged error: 0b

Counts

69 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (pow (* (exp re) (cos im)) 3))
0.2b	(pow (* (exp re) (cos im)) 3)
0.2b	(cbrt (log (exp (pow (* (exp re) (cos im)) 3))))
0.7b	(log (exp (pow (* (exp re) (cos im)) 3)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

24×	`exp-prod`
18×	`log-pow`
12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`pow1`
7×	`add-cbrt-cube`
6×	`add-exp-log`
5×	`add-log-exp`
4×	`cube-mult` `unpow-prod-down` `unpow3` `cube-prod` `sqr-pow`
3×	`pow-unpow` `log-prod`
2×	`pow-pow` `pow-exp` `rem-cube-cbrt`
1×	`pow-to-exp` `pow1/3` `rem-log-exp` `pow-prod-down` `prod-exp` `cbrt-unprod` `rem-exp-log`

Counts

4 → 78

Calls

4 calls:

4.0ms	(exp (pow (* (exp re) (cos im)) 3))
5.0ms	(pow (* (exp re) (cos im)) 3)
3.0ms	(cbrt (log (exp (pow (* (exp re) (cos im)) 3))))
3.0ms	(log (exp (pow (* (exp re) (cos im)) 3)))

series59.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(exp (pow (* (exp re) (cos im)) 3))
14.0ms	(pow (* (exp re) (cos im)) 3)
8.0ms	(cbrt (log (exp (pow (* (exp re) (cos im)) 3))))
16.0ms	(log (exp (pow (* (exp re) (cos im)) 3)))

simplify161.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	189	513
1	643	434
2	4125	434
3	5001	434

prune112.0ms

Filtered

61 candidates to 90 candidates (-47.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	90	3	93

Merged error: 0b

Counts

93 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (log (cos im)) re)
0.1b	(exp (+ (log (cos im)) re))
0.8b	(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))

series29.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(+ (log (cos im)) re)
9.0ms	(exp (+ (log (cos im)) re))
10.0ms	(log (cos im))

simplify126.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 3 (29.0ms)

Iter	Nodes	Cost
0	139	223
1	363	201
2	1123	198
3	4437	197
4	5003	197

prune46.0ms

Filtered

35 candidates to 52 candidates (-48.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	52	3	55

Merged error: 0b

Counts

55 → 3

regimes190.0ms

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

469.0ms	1501×	body	1280	valid
247.0ms	6983×	body	80	valid
218.0ms	1218×	body	640	valid
67.0ms	593×	body	320	valid
25.0ms	318×	body	160	valid

Details

sample60.0ms

simplify3.0ms

prune3.0ms

localize6.0ms

rewrite5.0ms

series8.0ms

simplify136.0ms

prune24.0ms

localize8.0ms

rewrite16.0ms

series29.0ms

simplify238.0ms

prune69.0ms

localize12.0ms

rewrite17.0ms

series59.0ms

simplify161.0ms

prune112.0ms

localize7.0ms

rewrite11.0ms

series29.0ms

simplify126.0ms

prune46.0ms

regimes190.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Profiling