Details

analyze338.0ms

Algorithm

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
25%	25%	50%	2
25%	25%	50%	3
31.2%	18.7%	50%	4
31.2%	18.7%	50%	5
34.3%	15.6%	50%	6
34.3%	15.6%	50%	7
35.9%	14%	50%	8
35.9%	14%	50%	9
36.7%	13.3%	50%	10
36.7%	13.3%	50%	11
37.1%	12.9%	50%	12
37.1%	12.9%	50%	13
37.3%	12.7%	50%	14

sample34.0ms

Algorithm

intervals

Results

10.0ms	205×	body	80	valid
5.0ms	19×	body	2560	valid
3.0ms	10×	body	5120	valid
3.0ms	14×	body	1280	valid
3.0ms	256×	pre	80	true
1.0ms	5×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	265	15
1	265	15

prune5.0ms

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: 34.7b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))
0.0b	(+ (* re re) (* im im))
0.5b	(- (sqrt (+ (* re re) (* im im))) re)
28.6b	(sqrt (+ (* re re) (* im im)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`pow1` `add-log-exp`
7×	`*-un-lft-identity`
5×	`add-cube-cbrt` `sqrt-prod`
4×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
3×	`sqrt-pow1`
2×	`flip3--` `flip3-+` `pow1/2` `associate-*r/` `flip--` `flip-+` `difference-of-squares`
1×	`+-commutative` `sub-neg` `rem-sqrt-square` `diff-log` `pow-prod-down` `sum-log` `distribute-lft-out--`

Counts

4 → 53

Calls

4 calls:

8.0ms	(sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))
4.0ms	(+ (* re re) (* im im))
7.0ms	(- (sqrt (+ (* re re) (* im im))) re)
4.0ms	(sqrt (+ (* re re) (* im im)))

series42.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))
5.0ms	(+ (* re re) (* im im))
7.0ms	(- (sqrt (+ (* re re) (* im im))) re)
6.0ms	(sqrt (+ (* re re) (* im im)))

simplify56.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4962	739
1	4962	739

prune116.0ms

Filtered

52 candidates to 65 candidates (-25.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	59	6	65
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	7	66

Merged error: 7.5b

Counts

66 → 7

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(sqrt (* 2.0 (- im re)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1`
2×	`sqrt-pow1` `sqrt-div` `associate-*r/`
1×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `flip3--` `*-un-lft-identity` `pow1/2` `pow-prod-down` `sqrt-prod` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

1 → 13

Calls

1 calls:

4.0ms

(sqrt (* 2.0 (- im re)))

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

(sqrt (* 2.0 (- im re)))

simplify39.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5758	162

prune40.0ms

Filtered

13 candidates to 16 candidates (-23.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	15	1	16
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	15	8	23

Merged error: 7.5b

Counts

23 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (sqrt (* 2.0 (- im re))))
0.0b	(sqrt (* 2.0 (- im re)))
3.8b	(exp (log (sqrt (* 2.0 (- im re)))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1`
8×	`log-prod` `log-pow`
7×	`exp-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `sqrt-pow1` `sqrt-div` `associate-r/`
4×	`add-exp-log` `log-div` `exp-sum`
3×	`flip3--` `pow1/2` `pow-prod-down` `sqrt-prod` `add-cbrt-cube` `flip--` `add-log-exp`
2×	`exp-diff`
1×	`rem-log-exp` `rem-exp-log`

Counts

3 → 52

Calls

3 calls:

5.0ms	(log (sqrt (* 2.0 (- im re))))
5.0ms	(sqrt (* 2.0 (- im re)))
6.0ms	(exp (log (sqrt (* 2.0 (- im re)))))

series44.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(log (sqrt (* 2.0 (- im re))))
14.0ms	(sqrt (* 2.0 (- im re)))
14.0ms	(exp (log (sqrt (* 2.0 (- im re)))))

simplify23.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5024	620

prune105.0ms

Filtered

45 candidates to 61 candidates (-35.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	59	2	61
Fresh	0	5	5
Picked	1	0	1
Done	0	2	2
Total	60	9	69

Merged error: 7.5b

Counts

69 → 9

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (sqrt (* 2.0 (- im re))))
0.0b	(sqrt (* 2.0 (- im re)))
4.2b	(pow E (log (sqrt (* 2.0 (- im re)))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1`
8×	`log-prod` `log-pow`
7×	`add-sqr-sqrt` `add-cube-cbrt` `pow-unpow` `*-un-lft-identity`
6×	`sqrt-pow1` `sqrt-div` `associate-*r/`
5×	`add-exp-log`
4×	`unpow-prod-up` `log-div`
3×	`unpow-prod-down` `flip3--` `pow1/2` `pow-prod-down` `sqrt-prod` `add-cbrt-cube` `flip--` `add-log-exp`
2×	`pow-exp` `pow-sub`
1×	`pow-to-exp` `e-exp-1` `pow-pow` `rem-log-exp` `sqr-pow`

Counts

3 → 59

Calls

3 calls:

7.0ms	(log (sqrt (* 2.0 (- im re))))
5.0ms	(sqrt (* 2.0 (- im re)))
7.0ms	(pow E (log (sqrt (* 2.0 (- im re)))))

series54.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(log (sqrt (* 2.0 (- im re))))
14.0ms	(sqrt (* 2.0 (- im re)))
25.0ms	(pow E (log (sqrt (* 2.0 (- im re)))))

simplify30.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	4996	763
1	4996	763

prune102.0ms

Filtered

51 candidates to 68 candidates (-33.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	68	9	77

Merged error: 7.5b

Counts

77 → 9

regimes687.0ms

Accuracy

51.6% (9.4b remaining)

Error of 19.2b against oracle of 9.8b and baseline of 29.3b

bsearch46.0ms

Steps

Iters	Range	Point
5	2.744655411259817e+37	6.942496649048895e+37	2.7892391254241995e+37
9	-2.7941961711455226e-69	-3.33758465133339e-75	-3.3801084320698864e-75
4	-5.7377284006132834e+131	-3.4628747062833148e+131	-5.516385007189412e+131

Iters

Range

Point

2.744655411259817e+37

6.942496649048895e+37

2.7892391254241995e+37

-2.7941961711455226e-69

-3.33758465133339e-75

-3.3801084320698864e-75

-5.7377284006132834e+131

-3.4628747062833148e+131

-5.516385007189412e+131

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	59	63
1	59	63

end0.0ms

sample1.0s

Algorithm

intervals

Results

285.0ms	5966×	body	80	valid
206.0ms	726×	body	2560	valid
108.0ms	475×	body	1280	valid
103.0ms	299×	body	5120	valid
98.0ms	8000×	pre	80	true
56.0ms	304×	body	640	valid
19.0ms	146×	body	320	valid
7.0ms	84×	body	160	valid

Details

analyze338.0ms

sample34.0ms

simplify16.0ms

prune5.0ms

localize10.0ms

rewrite24.0ms

series42.0ms

simplify56.0ms

prune116.0ms

localize6.0ms

rewrite5.0ms

series14.0ms

simplify39.0ms

prune40.0ms

localize10.0ms

rewrite17.0ms

series44.0ms

simplify23.0ms

prune105.0ms

localize15.0ms

rewrite20.0ms

series54.0ms

simplify30.0ms

prune102.0ms

regimes687.0ms

bsearch46.0ms

simplify2.0ms

end0.0ms

sample1.0s

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