Details

analyze352.0ms

Algorithm: search

sample99.0ms

Algorithm

intervals

Results

26.0ms	49×	body	1280	valid
15.0ms	43×	body	1280	invalid
12.0ms	41×	body	640	valid
11.0ms	38×	body	640	invalid
8.0ms	137×	body	80	valid
5.0ms	82×	body	80	invalid
4.0ms	20×	body	320	valid
3.0ms	16×	body	320	invalid
1.0ms	10×	body	160	invalid
1.0ms	9×	body	160	valid

simplify105.0ms

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)))

rewrite19.0ms

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:

7.0ms	(+ (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:

4.0ms	(+ (exp (- 0.0 im)) (exp im))
15.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify37.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (33.0ms)

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

prune58.0ms

Filtered

28 candidates to 41 candidates (-46.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	3	42

Merged error: 0.0b

Counts

42 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (- 0.0 im)) (exp im))
0.0b	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
0.3b	(pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3)
21.3b	(cbrt (pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`*-un-lft-identity`
8×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`cube-div` `flip3-+` `associate-r` `flip-+`
3×	`pow-unpow` `pow-pow` `pow-exp` `rem-cube-cbrt`
2×	`cube-mult` `unpow-prod-down` `cbrt-div` `unpow3` `cube-prod` `distribute-lft-out` `sqr-pow`
1×	`+-commutative` `distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `pow1/3` `associate-l` `sum-log` `*-commutative` `rem-cbrt-cube`

Counts

4 → 81

Calls

4 calls:

7.0ms	(+ (exp (- 0.0 im)) (exp im))
12.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
12.0ms	(pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3)
3.0ms	(cbrt (pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3))

series60.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ (exp (- 0.0 im)) (exp im))
14.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
26.0ms	(pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3)
14.0ms	(cbrt (pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3))

simplify64.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	410	821
1	2039	785
2	5001	784

prune135.0ms

Filtered

62 candidates to 93 candidates (-50.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	93	3	96

Merged error: 0.0b

Counts

96 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (exp (+ (- 0.0 im) (- 0.0 im))) (neg (exp (+ im im)))) (* 0.5 (sin re)))
0.2b	(/ (* (+ (exp (+ (- 0.0 im) (- 0.0 im))) (neg (exp (+ im im)))) (* 0.5 (sin re))) (- (exp (- 0.0 im)) (exp im)))
5.0b	(+ (exp (+ (- 0.0 im) (- 0.0 im))) (neg (exp (+ im im))))
5.1b	(- (exp (- 0.0 im)) (exp im))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
18×	`add-exp-log` `add-cbrt-cube`
13×	`add-sqr-sqrt`
10×	`add-log-exp`
9×	`pow1`
7×	`add-cube-cbrt`
6×	`prod-exp` `cbrt-unprod`
5×	`times-frac` `associate-l` `associate-/r*`
4×	`associate-*l/` `distribute-lft-out`
3×	`cbrt-undiv` `flip3-+` `div-exp` `pow-prod-down` `flip-+` `distribute-lft-out--` `difference-of-squares`
2×	`flip3--` `distribute-rgt-neg-in` `sum-log` `associate-/r/` `flip--` `associate-/l/`
1×	`+-commutative` `neg-sub0` `associate-+r-` `sub-neg` `frac-2neg` `diff-log` `associate-r` `unsub-neg` `neg-log` `clear-num` `-commutative` `div-inv` `associate-/l`

Counts

4 → 84

Calls

4 calls:

22.0ms	(* (+ (exp (+ (- 0.0 im) (- 0.0 im))) (neg (exp (+ im im)))) (* 0.5 (sin re)))
30.0ms	(/ (* (+ (exp (+ (- 0.0 im) (- 0.0 im))) (neg (exp (+ im im)))) (* 0.5 (sin re))) (- (exp (- 0.0 im)) (exp im)))
20.0ms	(+ (exp (+ (- 0.0 im) (- 0.0 im))) (neg (exp (+ im im))))
7.0ms	(- (exp (- 0.0 im)) (exp im))

series61.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (+ (exp (+ (- 0.0 im) (- 0.0 im))) (neg (exp (+ im im)))) (* 0.5 (sin re)))
32.0ms	(/ (* (+ (exp (+ (- 0.0 im) (- 0.0 im))) (neg (exp (+ im im)))) (* 0.5 (sin re))) (- (exp (- 0.0 im)) (exp im)))
6.0ms	(+ (exp (+ (- 0.0 im) (- 0.0 im))) (neg (exp (+ im im))))
5.0ms	(- (exp (- 0.0 im)) (exp im))

simplify60.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	500	1370
1	2261	1098
2	5001	1082

prune159.0ms

Filtered

70 candidates to 96 candidates (-37.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	96	3	99

Merged error: 0.0b

Counts

99 → 3

regimes258.0ms

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	14	7
1	14	7

end0.0ms

analyze352.0ms

Algorithm: search

sample3.2s

Algorithm

intervals

Results

836.0ms	1545×	body	1280	valid
517.0ms	1451×	body	1280	invalid
410.0ms	4200×	body	80	valid
364.0ms	1246×	body	640	valid
284.0ms	1171×	body	640	invalid
154.0ms	2423×	body	80	invalid
119.0ms	650×	body	320	valid
106.0ms	619×	body	320	invalid
44.0ms	359×	body	160	valid
36.0ms	297×	body	160	invalid

Details

analyze352.0ms

sample99.0ms

simplify105.0ms

prune3.0ms

localize10.0ms

rewrite19.0ms

series18.0ms

simplify37.0ms

prune58.0ms

localize15.0ms

rewrite36.0ms

series60.0ms

simplify64.0ms

prune135.0ms

localize17.0ms

rewrite81.0ms

series61.0ms

simplify60.0ms

prune159.0ms

regimes258.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze352.0ms

sample3.2s

Profiling