Details

analyze365.0ms

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

sample162.0ms

Algorithm

intervals

Results

69.0ms	132×	body	1280	valid
24.0ms	79×	body	640	valid
19.0ms	54×	body	1280	invalid
10.0ms	44×	body	640	invalid
6.0ms	30×	body	320	valid
4.0ms	26×	body	320	invalid
3.0ms	14×	body	80	invalid
2.0ms	13×	body	160	valid
1.0ms	6×	body	160	invalid
0.0ms	2×	body	80	valid

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5348	12

prune7.0ms

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: 58.7b

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)))
6.0b	(- (exp (- 0.0 im)) (exp im))

rewrite19.0ms

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:

11.0ms	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
7.0ms	(- (exp (- 0.0 im)) (exp im))

series24.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
5.0ms	(- (exp (- 0.0 im)) (exp im))

simplify50.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5332	526

prune78.0ms

Filtered

31 candidates to 43 candidates (-38.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	2	44

Merged error: 0.1b

Counts

44 → 2

localize15.0ms

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

rewrite34.0ms

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:

10.0ms	(+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60)))
5.0ms	(* (pow im 5) -1/60)
6.0ms	(* (pow im 3) -1/3)
11.0ms	(* (* 0.5 (cos re)) (+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60))))

series49.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60)))
5.0ms	(* (pow im 5) -1/60)
4.0ms	(* (pow im 3) -1/3)
35.0ms	(* (* 0.5 (cos re)) (+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60))))

simplify33.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5943	1256

prune194.0ms

Filtered

68 candidates to 103 candidates (-51.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	98	5	103
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	98	7	105

Merged error: 0.1b

Counts

105 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60)))) (cbrt (+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60)))))
0.7b	(cbrt (+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60))))
0.7b	(cbrt (+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60))))
0.7b	(cbrt (+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

17.0ms	(* (cbrt (+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60)))) (cbrt (+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60)))))
7.0ms	(cbrt (+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60))))
8.0ms	(cbrt (+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60))))
7.0ms	(cbrt (+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60))))

series89.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt (+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60)))) (cbrt (+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60)))))
20.0ms	(cbrt (+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60))))
21.0ms	(cbrt (+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60))))
23.0ms	(cbrt (+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60))))

simplify67.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4916	2880
1	4916	2880

prune532.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	95	4	99
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	96	10	106

Merged error: 0.0b

Counts

106 → 10

localize25.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60))))
0.7b	(cbrt (+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60))))
0.7b	(cbrt (+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60))))
0.7b	(cbrt (+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

9.0ms	(cbrt (+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60))))
7.0ms	(cbrt (+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60))))
7.0ms	(cbrt (+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60))))
7.0ms	(cbrt (+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60))))

series84.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt (+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60))))
20.0ms	(cbrt (+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60))))
21.0ms	(cbrt (+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60))))
21.0ms	(cbrt (+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60))))

simplify41.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5150	1676

prune573.0ms

Filtered

60 candidates to 64 candidates (-6.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	64	10	74

Merged error: 0.0b

Counts

74 → 10

regimes365.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	20
1	25	20

end0.0ms

sample4.5s

Algorithm

intervals

Results

2.3s	4288×	body	1280	valid
767.0ms	2379×	body	640	valid
512.0ms	1496×	body	1280	invalid
304.0ms	1294×	body	640	invalid
165.0ms	814×	body	320	valid
112.0ms	628×	body	320	invalid
48.0ms	373×	body	160	valid
36.0ms	516×	body	80	invalid
35.0ms	303×	body	160	invalid
9.0ms	146×	body	80	valid

Details

analyze365.0ms

sample162.0ms

simplify59.0ms

prune7.0ms

localize10.0ms

rewrite19.0ms

series24.0ms

simplify50.0ms

prune78.0ms

localize15.0ms

rewrite34.0ms

series49.0ms

simplify33.0ms

prune194.0ms

localize20.0ms

rewrite42.0ms

series89.0ms

simplify67.0ms

prune532.0ms

localize25.0ms

rewrite30.0ms

series84.0ms

simplify41.0ms

prune573.0ms

regimes365.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.5s

Profiling