Details

sample85.0ms

Algorithm

intervals

Results

37.0ms	97×	body	1280	valid
15.0ms	70×	body	640	valid
12.0ms	255×	body	80	valid
5.0ms	35×	body	320	valid
2.0ms	19×	body	160	valid

simplify71.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	7
1	58	7
2	95	7
3	209	7
4	459	7
5	629	7
6	1415	7
7	2148	7
8	5002	7

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

rewrite20.0ms

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:

5.0ms	(+ (exp (- im)) (exp im))
13.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series87.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ (exp (- im)) (exp im))
59.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify38.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	249	347
1	1229	286
2	5001	284

prune91.0ms

Filtered

41 candidates to 28 candidates (68.3%)

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

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))
0.0b	(* (* 0.5 (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))
0.1b	(* 1/12 (pow im 4))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

8.0ms	(+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))
12.0ms	(* (* 0.5 (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))
5.0ms	(* 1/12 (pow im 4))

series207.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))
124.0ms	(* (* 0.5 (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))
40.0ms	(* 1/12 (pow im 4))

simplify57.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	356	504
1	1865	439
2	5002	436

prune140.0ms

Filtered

69 candidates to 44 candidates (63.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	69	4	73

Merged error: 0b

Counts

73 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp im) -2)
0.1b	(pow (exp im) 3)
0.1b	(pow (exp (- im)) 3)
5.3b	(- (pow (exp im) -2) 1)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
19×	`pow-pow`
17×	`add-cube-cbrt`
16×	`exp-prod`
12×	`unpow-prod-down`
9×	`pow-unpow`
7×	`pow1`
6×	`cube-prod` `add-cbrt-cube` `add-log-exp` `difference-of-squares` `sqr-pow`
4×	`add-exp-log`
3×	`distribute-lft-neg-in` `pow-to-exp` `distribute-rgt-neg-in` `difference-of-sqr-1` `pow-exp`
2×	`cube-div` `cube-mult` `unpow3` `rem-cube-cbrt`
1×	`neg-sub0` `exp-neg` `neg-mul-1` `sub-neg` `flip3--` `exp-diff` `diff-log` `flip--` `distribute-lft-out--`

Counts

4 → 103

Calls

4 calls:

3.0ms	(pow (exp im) -2)
3.0ms	(pow (exp im) 3)
5.0ms	(pow (exp (- im)) 3)
6.0ms	(- (pow (exp im) -2) 1)

series107.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(pow (exp im) -2)
25.0ms	(pow (exp im) 3)
26.0ms	(pow (exp (- im)) 3)
34.0ms	(- (pow (exp im) -2) 1)

simplify58.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	341	415
1	1531	378
2	5001	353

prune307.0ms

Filtered

115 candidates to 67 candidates (58.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	115	4	119

Merged error: 0b

Counts

119 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (- im)) (exp im))
0.0b	(+ (exp (- im)) (exp im))
0.2b	(* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im))))
0.7b	(* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im))))

rewrite46.0ms

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:

5.0ms	(+ (exp (- im)) (exp im))
5.0ms	(+ (exp (- im)) (exp im))
11.0ms	(* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im))))
21.0ms	(* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im))))

series199.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (exp (- im)) (exp im))
27.0ms	(+ (exp (- im)) (exp im))
84.0ms	(* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im))))
64.0ms	(* (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (sqrt (+ (exp (- im)) (exp im))))

simplify61.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	388	1083
1	1995	885
2	5002	870

prune368.0ms

Filtered

93 candidates to 56 candidates (60.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	93	4	97

Merged error: 0b

Counts

97 → 4

regimes140.0ms

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	13	7
1	13	7

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.2s	3052×	body	1280	valid
557.0ms	2503×	body	640	valid
393.0ms	8424×	body	80	valid
169.0ms	1201×	body	320	valid
59.0ms	618×	body	160	valid

Details

sample85.0ms

simplify71.0ms

prune3.0ms

localize10.0ms

rewrite20.0ms

series87.0ms

simplify38.0ms

prune91.0ms

localize12.0ms

rewrite27.0ms

series207.0ms

simplify57.0ms

prune140.0ms

localize21.0ms

rewrite20.0ms

series107.0ms

simplify58.0ms

prune307.0ms

localize13.0ms

rewrite46.0ms

series199.0ms

simplify61.0ms

prune368.0ms

regimes140.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.7s

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