Details

sample214.0ms

Algorithm

intervals

Results

95.0ms	88×	body	1280	valid
33.0ms	79×	body	640	valid
26.0ms	278×	body	80	valid
11.0ms	40×	body	320	valid
4.0ms	20×	body	160	valid

simplify108.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	23	7
1	58	7
2	95	7
3	209	7
4	459	7
5	596	7
6	1198	7
7	1931	7
8	5001	7

prune5.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))
0.0b	(+ (exp (neg im)) (exp im))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
4×	`associate-r` `add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3-+` `associate-*r/` `flip-+` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-l` `sum-log` `*-commutative`

Counts

2 → 35

Calls

2 calls:

15.0ms	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))
7.0ms	(+ (exp (neg im)) (exp im))

series35.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))
9.0ms	(+ (exp (neg im)) (exp im))

simplify63.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	248	347
1	1228	286
2	5001	284

prune105.0ms

Filtered

41 candidates to 28 candidates (31.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	2	42

Merged error: 0b

Counts

42 → 2

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp (neg im)) 3)
0.0b	(* (exp im) (exp im))
0.0b	(pow (exp im) 3)
3.5b	(- (* (exp im) (exp im)) (* (exp (neg im)) (exp im)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

31×	`exp-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `*-un-lft-identity`
15×	`pow-pow`
13×	`pow1`
8×	`add-cbrt-cube`
6×	`unpow-prod-down` `pow-unpow` `cube-prod` `add-log-exp`
4×	`add-exp-log` `pow-prod-down` `pow-sqr` `pow-prod-up`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `swap-sqr` `associate-r` `associate-l`
2×	`cube-div` `cube-mult` `pow-to-exp` `unpow3` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`pow2` `neg-sub0` `exp-neg` `neg-mul-1` `sub-neg` `flip3--` `distribute-rgt-out--` `pow-plus` `exp-diff` `diff-log` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

9.0ms	(pow (exp (neg im)) 3)
12.0ms	(* (exp im) (exp im))
6.0ms	(pow (exp im) 3)
12.0ms	(- (* (exp im) (exp im)) (* (exp (neg im)) (exp im)))

series37.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(pow (exp (neg im)) 3)
5.0ms	(* (exp im) (exp im))
8.0ms	(pow (exp im) 3)
14.0ms	(- (* (exp im) (exp im)) (* (exp (neg im)) (exp im)))

simplify206.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (192.0ms)

Iter	Nodes	Cost
0	364	469
1	2072	394
2	5002	357

prune279.0ms

Filtered

120 candidates to 74 candidates (38.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	120	2	122

Merged error: 0b

Counts

122 → 2

localize16.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (exp im))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube`
4×	`add-exp-log`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`associate-l` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

10.0ms

(* (* 0.5 (cos re)) (exp im))

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

(* (* 0.5 (cos re)) (exp im))

simplify126.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	123	122
1	577	97
2	3107	97
3	5001	97

prune32.0ms

Filtered

21 candidates to 14 candidates (33.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	21	2	23

Merged error: 0b

Counts

23 → 2

regimes236.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	24
1	24	24

end0.0ms

sample5.8s

Algorithm

intervals

Results

2.3s	2913×	body	1280	valid
1.2s	2473×	body	640	valid
846.0ms	8591×	body	80	valid
404.0ms	1225×	body	320	valid
131.0ms	633×	body	160	valid

Details

sample214.0ms

simplify108.0ms

prune5.0ms

localize17.0ms

rewrite23.0ms

series35.0ms

simplify63.0ms

prune105.0ms

localize50.0ms

rewrite46.0ms

series37.0ms

simplify206.0ms

prune279.0ms

localize16.0ms

rewrite11.0ms

series19.0ms

simplify126.0ms

prune32.0ms

regimes236.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample5.8s

Profiling