Details

sample104.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

37.0ms	84×	body	1280	valid
18.0ms	70×	body	640	valid
16.0ms	268×	body	80	valid
8.0ms	48×	body	320	valid
7.0ms	21×	body	160	valid

simplify104.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	62	7
2	108	7
3	177	7
4	279	7
5	770	7
6	1075	7
7	1599	7
8	3585	7
9	4712	7
10	5001	7

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

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp (- 0.0 im)) (exp im))
0.0b	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

rewrite18.0ms

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:

6.0ms	(+ (exp (- 0.0 im)) (exp im))
11.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series18.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(+ (exp (- 0.0 im)) (exp im))
14.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify38.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	265	349
1	1200	295
2	5001	294

prune64.0ms

Filtered

28 candidates to 41 candidates (-46.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	4	42

Merged error: 0b

Counts

42 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
0.0b	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
0.0b	(* (* 0.5 (sin re)) (exp im))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-cbrt-cube`
9×	`add-exp-log`
8×	`associate-r`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
2×	`associate-l` `exp-sum` `*-commutative`
1×	`+-commutative` `sub-neg` `flip3-+` `exp-diff` `associate-*r/` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 51

Calls

3 calls:

10.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
9.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
6.0ms	(* (* 0.5 (sin re)) (exp im))

series38.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
9.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
9.0ms	(* (* 0.5 (sin re)) (exp im))

simplify53.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	327	481
1	1562	398
2	5001	393

prune79.0ms

Filtered

41 candidates to 60 candidates (-46.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	60	4	64

Merged error: 0b

Counts

64 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (- 0.0 im)) (exp im))
0.0b	(+ (exp (- 0.0 im)) (exp im))
0.4b	(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))
0.5b	(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`*-un-lft-identity`
14×	`sqrt-div` `associate-r`
10×	`associate-*r/`
9×	`flip3-+` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
8×	`add-sqr-sqrt` `add-cube-cbrt` `sqrt-prod` `add-log-exp`
4×	`frac-times` `distribute-lft-out`
2×	`+-commutative` `associate-l` `associate-l/` `sum-log` `-commutative`

Counts

4 → 81

Calls

4 calls:

6.0ms	(+ (exp (- 0.0 im)) (exp im))
6.0ms	(+ (exp (- 0.0 im)) (exp im))
14.0ms	(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))
21.0ms	(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))

series39.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ (exp (- 0.0 im)) (exp im))
3.0ms	(+ (exp (- 0.0 im)) (exp im))
18.0ms	(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))
14.0ms	(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))

simplify52.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	407	1087
1	1824	905
2	5001	894

prune152.0ms

Filtered

59 candidates to 93 candidates (-57.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	93	4	97

Merged error: 0b

Counts

97 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))
0.6b	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
0.6b	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
0.6b	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

8.0ms	(* (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))
10.0ms	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
11.0ms	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
9.0ms	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))

series154.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))
35.0ms	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
34.0ms	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
33.0ms	(cbrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))

simplify47.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	326	1354
1	1149	1231
2	5002	1148

prune236.0ms

Filtered

63 candidates to 84 candidates (-33.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	84	4	88

Merged error: 0b

Counts

88 → 4

regimes354.0ms

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	16	10
1	16	10

end0.0ms

sample3.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

1.3s	2892×	body	1280	valid
637.0ms	2417×	body	640	valid
528.0ms	8610×	body	80	valid
245.0ms	1309×	body	320	valid
73.0ms	580×	body	160	valid

Details

sample104.0ms

simplify104.0ms

prune3.0ms

localize10.0ms

rewrite18.0ms

series18.0ms

simplify38.0ms

prune64.0ms

localize11.0ms

rewrite26.0ms

series38.0ms

simplify53.0ms

prune79.0ms

localize12.0ms

rewrite50.0ms

series39.0ms

simplify52.0ms

prune152.0ms

localize15.0ms

rewrite41.0ms

series154.0ms

simplify47.0ms

prune236.0ms

regimes354.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.2s

Profiling