Details

analyze364.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
50%	50%	0.1%	5
50%	50%	0.1%	6
50%	37.5%	12.6%	7
50%	37.5%	12.6%	8
50%	31.2%	18.8%	9
50%	31.2%	18.8%	10
50%	28.1%	22%	11
50%	28.1%	22%	12
50%	26.5%	23.5%	13
50%	26.5%	23.5%	14

sample147.0ms

Algorithm

intervals

Results

69.0ms	132×	body	1280	valid
21.0ms	69×	body	640	valid
19.0ms	56×	body	1280	invalid
9.0ms	40×	body	640	invalid
7.0ms	37×	body	320	valid
5.0ms	28×	body	320	invalid
1.0ms	10×	body	160	valid
1.0ms	19×	body	80	invalid
1.0ms	9×	body	160	invalid
1.0ms	8×	body	80	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	12
1	23	12

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 56.7b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
5.6b	(- (exp (- 0.0 im)) (exp im))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube`
5×	`associate-r`
4×	`add-log-exp`
3×	`add-cube-cbrt` `sub-neg` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `associate-*r/` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`distribute-rgt-in` `distribute-lft-in` `diff-log` `associate-l` `*-commutative`

Counts

2 → 37

Calls

2 calls:

14.0ms	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
6.0ms	(- (exp (- 0.0 im)) (exp im))

series21.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
5.0ms	(- (exp (- 0.0 im)) (exp im))

simplify49.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5178	526

prune88.0ms

Filtered

31 candidates to 43 candidates (-38.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	39	4	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	4	44

Merged error: 0.1b

Counts

44 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60)))
0.0b	(* (pow im 5) -1/60)
0.1b	(* (* 0.5 (cos re)) (+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60))))
0.1b	(* (pow im 3) -1/3)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
20×	`associate-l`
19×	`add-exp-log`
13×	`add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `associate-r` `prod-exp` `add-log-exp`
8×	`unpow-prod-down`
7×	`unswap-sqr`
5×	`cbrt-unprod`
4×	`cube-prod` `sqr-pow`
3×	`pow-prod-down` `sum-log` `*-commutative`
2×	`pow-to-exp` `flip3-+` `associate-*r/` `pow-exp` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `cube-mult` `associate-+r+` `distribute-lft-in` `unpow3`

Counts

4 → 91

Calls

4 calls:

7.0ms	(+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60)))
5.0ms	(* (pow im 5) -1/60)
9.0ms	(* (* 0.5 (cos re)) (+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60))))
6.0ms	(* (pow im 3) -1/3)

series51.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60)))
8.0ms	(* (pow im 5) -1/60)
34.0ms	(* (* 0.5 (cos re)) (+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60))))
4.0ms	(* (pow im 3) -1/3)

simplify30.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5364	1256

prune200.0ms

Filtered

69 candidates to 103 candidates (-49.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	97	6	103
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	98	9	107

Merged error: 0.1b

Counts

107 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cos re) (* (pow im 5) 0.008333333333333333))
0.1b	(* im (* (cos re) 1.0))
0.1b	(* (cos re) 0.16666666666666666)
0.1b	(* (pow im 3) (* (cos re) 0.16666666666666666))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-exp-log`
21×	`associate-l` `add-cbrt-cube`
20×	`prod-exp`
13×	`pow1` `add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`cbrt-unprod`
6×	`associate-r`
5×	`pow-prod-down`
4×	`*-commutative` `add-log-exp`
3×	`pow-to-exp` `unpow-prod-down` `cube-prod` `pow-exp`
1×	`cube-mult` `unpow3` `unswap-sqr` `sqr-pow`

Counts

4 → 84

Calls

4 calls:

6.0ms	(* (cos re) (* (pow im 5) 0.008333333333333333))
5.0ms	(* im (* (cos re) 1.0))
4.0ms	(* (cos re) 0.16666666666666666)
8.0ms	(* (pow im 3) (* (cos re) 0.16666666666666666))

series42.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (cos re) (* (pow im 5) 0.008333333333333333))
7.0ms	(* im (* (cos re) 1.0))
3.0ms	(* (cos re) 0.16666666666666666)
10.0ms	(* (pow im 3) (* (cos re) 0.16666666666666666))

simplify41.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5454	727

prune150.0ms

Filtered

58 candidates to 96 candidates (-65.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	93	3	96
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	95	10	105

Merged error: 0.0b

Counts

105 → 10

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt im) (cbrt im))
0.7b	(cbrt im)
0.7b	(cbrt im)
0.7b	(cbrt im)

rewrite10.0ms

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:

5.0ms	(* (cbrt im) (cbrt im))
1.0ms	(cbrt im)
1.0ms	(cbrt im)
1.0ms	(cbrt im)

series91.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt im) (cbrt im))
21.0ms	(cbrt im)
22.0ms	(cbrt im)
23.0ms	(cbrt im)

simplify41.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5084	341

prune99.0ms

Filtered

50 candidates to 85 candidates (-70.0%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	84	11	95

Merged error: 0.0b

Counts

95 → 11

regimes434.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	69	25
1	69	25

end0.0ms

analyze363.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
50%	50%	0.1%	5
50%	50%	0.1%	6
50%	37.5%	12.6%	7
50%	37.5%	12.6%	8
50%	31.2%	18.8%	9
50%	31.2%	18.8%	10
50%	28.1%	22%	11
50%	28.1%	22%	12
50%	26.5%	23.5%	13
50%	26.5%	23.5%	14

sample4.5s

Algorithm

intervals

Results

2.2s	4217×	body	1280	valid
751.0ms	2324×	body	640	valid
513.0ms	1514×	body	1280	invalid
293.0ms	1272×	body	640	invalid
191.0ms	900×	body	320	valid
103.0ms	622×	body	320	invalid
52.0ms	403×	body	160	valid
39.0ms	308×	body	160	invalid
32.0ms	504×	body	80	invalid
10.0ms	156×	body	80	valid

Details

analyze364.0ms

sample147.0ms

simplify3.0ms

prune6.0ms

localize10.0ms

rewrite21.0ms

series21.0ms

simplify49.0ms

prune88.0ms

localize16.0ms

rewrite28.0ms

series51.0ms

simplify30.0ms

prune200.0ms

localize17.0ms

rewrite24.0ms

series42.0ms

simplify41.0ms

prune150.0ms

localize21.0ms

rewrite10.0ms

series91.0ms

simplify41.0ms

prune99.0ms

regimes434.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze363.0ms

sample4.5s

Profiling