Details

analyze346.0ms

Algorithm: search

sample38.0ms

Algorithm

intervals

Results

9.0ms	189×	body	80	valid
8.0ms	28×	body	2560	valid
4.0ms	17×	body	1280	valid
3.0ms	256×	pre	80	true
2.0ms	6×	body	5120	valid
2.0ms	9×	body	640	valid
1.0ms	4×	body	320	valid
0.0ms	3×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	8
1	24	8
2	30	8
3	35	8
4	35	8

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: 39.7b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))
0.7b	(- (sqrt (+ (* re re) (* im im))) re)
29.2b	(sqrt (+ (* re re) (* im im)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 43

Calls

3 calls:

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

series38.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))
7.0ms	(- (sqrt (+ (* re re) (* im im))) re)
7.0ms	(sqrt (+ (* re re) (* im im)))

simplify90.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	234	381
1	812	362
2	3077	355
3	5001	353

prune101.0ms

Filtered

42 candidates to 52 candidates (-23.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	46	6	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	6	53

Merged error: 10.6b

Counts

53 → 6

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)))

series15.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

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

simplify51.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 3 (48.0ms)

Iter	Nodes	Cost
0	131	101
1	423	99
2	1795	96
3	5001	94

prune49.0ms

Filtered

13 candidates to 16 candidates (-23.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	13	3	16
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	13	9	22

Merged error: 10.5b

Counts

22 → 9

localize7.0ms

Local error

Found 1 expressions with local error:

0.4b	(* (sqrt 2.0) (sqrt (- im re)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
12×	`sqrt-prod`
8×	`associate-r`
7×	`*-un-lft-identity`
6×	`associate-l`
5×	`pow1` `add-cube-cbrt`
4×	`unswap-sqr`
3×	`add-exp-log` `pow-prod-down` `add-cbrt-cube`
2×	`sqrt-pow1` `pow1/2` `sqrt-div` `associate-*r/`
1×	`flip3--` `sqrt-unprod` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 34

Calls

1 calls:

8.0ms

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

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

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

simplify90.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	183	235
1	725	231
2	3552	224
3	5001	224

prune66.0ms

Filtered

23 candidates to 37 candidates (-60.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	35	2	37
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	37	9	46

Merged error: 10.5b

Counts

46 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (- im re)))
0.2b	(* (sqrt (sqrt 2.0)) (sqrt (sqrt (- im re))))
0.2b	(* (sqrt (sqrt 2.0)) (sqrt (sqrt (- im re))))
0.4b	(* (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- im re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- im re)))))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

94×	`sqrt-prod`
89×	`pow1`
84×	`sqrt-pow1`
63×	`pow-prod-down`
62×	`add-sqr-sqrt`
42×	`pow1/2`
36×	`sqrt-div`
24×	`*-un-lft-identity`
23×	`associate-r`
20×	`add-exp-log` `add-cbrt-cube`
19×	`associate-l`
18×	`add-cube-cbrt` `associate-*r/` `unswap-sqr`
12×	`pow-prod-up`
10×	`prod-exp` `cbrt-unprod`
9×	`flip3--` `flip--`
8×	`pow-sqr`
7×	`sqrt-unprod`
4×	`frac-times` `add-log-exp`
3×	`*-commutative` `distribute-lft-out--` `difference-of-squares`
2×	`rem-sqrt-square` `pow-plus` `associate-*l/`
1×	`pow2` `swap-sqr` `rem-square-sqrt`

Counts

4 → 177

Calls

4 calls:

6.0ms	(sqrt (sqrt (- im re)))
11.0ms	(* (sqrt (sqrt 2.0)) (sqrt (sqrt (- im re))))
11.0ms	(* (sqrt (sqrt 2.0)) (sqrt (sqrt (- im re))))
21.0ms	(* (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- im re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- im re)))))

series119.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(sqrt (sqrt (- im re)))
40.0ms	(* (sqrt (sqrt 2.0)) (sqrt (sqrt (- im re))))
39.0ms	(* (sqrt (sqrt 2.0)) (sqrt (sqrt (- im re))))
15.0ms	(* (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- im re)))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (- im re)))))

simplify71.0ms

Algorithm

egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	481	1538
1	1979	1343
2	5001	1316

prune223.0ms

Filtered

100 candidates to 189 candidates (-89.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	188	1	189
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	188	10	198

Merged error: 10.5b

Counts

198 → 10

regimes269.0ms

Accuracy

35.7% (12.4b remaining)

Error of 22.6b against oracle of 10.2b and baseline of 29.5b

bsearch187.0ms

Steps

Iters	Range		Point
9	5.66384215093262e+231	6.117919313657978e+239	5.744633498517086e+231
7	1.5673988647738082e+34	9.202414181702444e+35	5.407517815502927e+35
10	3.588457177817663e-85	1.7032645509437796e-75	5.881623620230629e-84
8	-2.0925057042435312e+22	-7.734737574210652e+18	-8.043609553613497e+18

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	23
1	48	23

end0.0ms

analyze341.0ms

Algorithm: search

sample1.1s

Algorithm

intervals

Results

298.0ms	6009×	body	80	valid
215.0ms	724×	body	2560	valid
123.0ms	497×	body	1280	valid
109.0ms	297×	body	5120	valid
97.0ms	8000×	pre	80	true
51.0ms	272×	body	640	valid
18.0ms	131×	body	320	valid
7.0ms	70×	body	160	valid

Details

analyze346.0ms

sample38.0ms

simplify7.0ms

prune5.0ms

localize10.0ms

rewrite19.0ms

series38.0ms

simplify90.0ms

prune101.0ms

localize6.0ms

rewrite5.0ms

series15.0ms

simplify51.0ms

prune49.0ms

localize7.0ms

rewrite9.0ms

series16.0ms

simplify90.0ms

prune66.0ms

localize10.0ms

rewrite58.0ms

series119.0ms

simplify71.0ms

prune223.0ms

regimes269.0ms

bsearch187.0ms

simplify2.0ms

end0.0ms

analyze341.0ms

sample1.1s

Profiling