Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4

prune2.0ms

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: 30.7b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* re re) (* im im))
28.7b	(sqrt (+ (* re re) (* im im)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `add-log-exp`
3×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
2×	`add-exp-log` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `sum-log`

Counts

2 → 26

Calls

2 calls:

3.0ms	(+ (* re re) (* im im))
3.0ms	(sqrt (+ (* re re) (* im im)))

series65.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ (* re re) (* im im))
35.0ms	(sqrt (+ (* re re) (* im im)))

simplify49.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (45.0ms)

Iter	Nodes	Cost
0	125	177
1	530	163
2	1540	163
3	5001	162

prune62.0ms

Filtered

32 candidates to 25 candidates (78.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	28	4	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	5	33

Merged error: 7.4b

Counts

33 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* re re) (* im im))
0.0b	(pow (sqrt (+ (* re re) (* im im))) 3)
28.7b	(sqrt (+ (* re re) (* im im)))
38.3b	(cbrt (pow (sqrt (+ (* re re) (* im im))) 3))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
16×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
12×	`unpow-prod-down` `cube-prod`
7×	`pow1`
6×	`sqrt-div` `add-log-exp`
5×	`add-exp-log` `add-cbrt-cube`
4×	`cube-div` `flip3-+` `flip-+`
3×	`pow-unpow` `pow-pow`
2×	`cube-mult` `cbrt-div` `sqrt-pow1` `pow1/2` `unpow3` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `rem-sqrt-square` `pow1/3` `pow-exp` `sum-log` `sqrt-pow2` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 89

Calls

4 calls:

4.0ms	(+ (* re re) (* im im))
5.0ms	(pow (sqrt (+ (* re re) (* im im))) 3)
3.0ms	(sqrt (+ (* re re) (* im im)))
5.0ms	(cbrt (pow (sqrt (+ (* re re) (* im im))) 3))

series182.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (* re re) (* im im))
83.0ms	(pow (sqrt (+ (* re re) (* im im))) 3)
39.0ms	(sqrt (+ (* re re) (* im im)))
34.0ms	(cbrt (pow (sqrt (+ (* re re) (* im im))) 3))

simplify42.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	283	643
1	1236	610
2	5001	594

prune156.0ms

Filtered

101 candidates to 57 candidates (56.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	100	6	106

Merged error: 7.4b

Counts

106 → 6

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify8.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune6.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	1	1
Done	2	2
Total	6	6

Merged error: 7.4b

Counts

6 → 6

localize3.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	3	3
Total	6	6

Merged error: 7.4b

Counts

6 → 6

regimes249.0ms

Accuracy

57.4% (10.2b remaining)

Error of 17.8b against oracle of 7.7b and baseline of 31.5b

bsearch81.0ms

Steps

Iters	Range		Point
10	3.2351134818706724e+46	9.517445069538902e+62	9.297535170302716e+62
7	8.554373099101626e-290	2.7552220295623955e-288	1.1868703169839283e-289
9	-2.2365661558835998e-197	-6.33701187792121e-204	-3.196517835772386e-203
5	-2.1804788916246727e+94	-8.504827414387646e+93	-2.1469124341159173e+94

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	9
1	23	9

end0.0ms

sample287.0ms

Algorithm

intervals

Results

168.0ms

8000×

body

valid

Details

sample12.0ms

simplify4.0ms

prune2.0ms

localize5.0ms

rewrite7.0ms

series65.0ms

simplify49.0ms

prune62.0ms

localize9.0ms

rewrite19.0ms

series182.0ms

simplify42.0ms

prune156.0ms

localize1.0ms

rewrite0.0ms

series0.0ms

simplify8.0ms

prune6.0ms

localize3.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune0.0ms

regimes249.0ms

bsearch81.0ms

simplify1.0ms

end0.0ms

sample287.0ms

Profiling