Details

analyze362.0ms

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

64.0ms	121×	body	1280	valid
24.0ms	79×	body	640	valid
18.0ms	54×	body	1280	invalid
9.0ms	39×	body	640	invalid
6.0ms	33×	body	320	valid
5.0ms	15×	body	160	invalid
3.0ms	18×	body	320	invalid
2.0ms	17×	body	160	valid
2.0ms	25×	body	80	invalid
0.0ms	6×	body	80	valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5348	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: 57.7b

Counts

2 → 1

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
6.7b	(- (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))

series20.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
5.0ms	(- (exp (- 0.0 im)) (exp im))

simplify54.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5332	526

prune97.0ms

Filtered

31 candidates to 43 candidates (-38.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	38	5	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	5	44

Merged error: 0.1b

Counts

44 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

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:

8.0ms	(+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60)))
5.0ms	(* (pow im 5) -1/60)
11.0ms	(* (* 0.5 (cos re)) (+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60))))
5.0ms	(* (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)))
5.0ms	(* (pow im 5) -1/60)
36.0ms	(* (* 0.5 (cos re)) (+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60))))
4.0ms	(* (pow im 3) -1/3)

simplify35.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5943	1256

prune207.0ms

Filtered

69 candidates to 103 candidates (-49.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	98	5	103
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	100	8	108

Merged error: 0.0b

Counts

108 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (pow (exp (pow im 3)) -1/3)) (+ (* im -2) (* (pow im 5) -1/60)))
0.1b	(* (pow im 5) -1/60)
0.1b	(* (* 0.5 (cos re)) (+ (log (pow (exp (pow im 3)) -1/3)) (+ (* im -2) (* (pow im 5) -1/60))))
2.6b	(log (pow (exp (pow im 3)) -1/3))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

9.0ms	(+ (log (pow (exp (pow im 3)) -1/3)) (+ (* im -2) (* (pow im 5) -1/60)))
5.0ms	(* (pow im 5) -1/60)
10.0ms	(* (* 0.5 (cos re)) (+ (log (pow (exp (pow im 3)) -1/3)) (+ (* im -2) (* (pow im 5) -1/60))))
4.0ms	(log (pow (exp (pow im 3)) -1/3))

series137.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ (log (pow (exp (pow im 3)) -1/3)) (+ (* im -2) (* (pow im 5) -1/60)))
5.0ms	(* (pow im 5) -1/60)
54.0ms	(* (* 0.5 (cos re)) (+ (log (pow (exp (pow im 3)) -1/3)) (+ (* im -2) (* (pow im 5) -1/60))))
67.0ms	(log (pow (exp (pow im 3)) -1/3))

simplify32.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5276	1339

prune246.0ms

Filtered

71 candidates to 99 candidates (-39.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	99	8	107

Merged error: 0.0b

Counts

107 → 8

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 55

Calls

2 calls:

11.0ms	(* (* 0.5 (cos re)) (+ (log 1) (+ (* (pow im 3) -1/3) (* im -2))))
6.0ms	(* (pow im 3) -1/3)

series29.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(* (* 0.5 (cos re)) (+ (log 1) (+ (* (pow im 3) -1/3) (* im -2))))
4.0ms	(* (pow im 3) -1/3)

simplify55.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4975	695
1	4975	695

prune90.0ms

Filtered

39 candidates to 61 candidates (-56.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	58	3	61
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	61	8	69

Merged error: 0.0b

Counts

69 → 8

regimes382.0ms

Accuracy

0% (0.7b 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 (0.0ms)

Iter	Nodes	Cost
0	23	17
1	23	17

end0.0ms

sample4.5s

Algorithm

intervals

Results

2.2s	4233×	body	1280	valid
759.0ms	2391×	body	640	valid
505.0ms	1494×	body	1280	invalid
293.0ms	1271×	body	640	invalid
192.0ms	894×	body	320	valid
117.0ms	643×	body	320	invalid
45.0ms	360×	body	160	valid
39.0ms	345×	body	160	invalid
37.0ms	552×	body	80	invalid
8.0ms	122×	body	80	valid

Details

analyze362.0ms

sample147.0ms

simplify60.0ms

prune6.0ms

localize14.0ms

rewrite19.0ms

series20.0ms

simplify54.0ms

prune97.0ms

localize15.0ms

rewrite32.0ms

series51.0ms

simplify35.0ms

prune207.0ms

localize19.0ms

rewrite31.0ms

series137.0ms

simplify32.0ms

prune246.0ms

localize13.0ms

rewrite18.0ms

series29.0ms

simplify55.0ms

prune90.0ms

regimes382.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.5s

Profiling