Details

sample19.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	6
1	20	6
2	22	6
3	22	6

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: 40.4b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (* x x) (* y y)) (* z z))
0.0b	(+ (* x x) (* y y))
37.4b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 39

Calls

3 calls:

5.0ms	(+ (+ (* x x) (* y y)) (* z z))
4.0ms	(+ (* x x) (* y y))
5.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series170.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ (+ (* x x) (* y y)) (* z z))
32.0ms	(+ (* x x) (* y y))
101.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify95.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	209	340
1	959	320
2	3316	316
3	5001	315

prune98.0ms

Filtered

48 candidates to 37 candidates (77.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	44	4	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	5	49

Merged error: 18.4b

Counts

49 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

30.2b	(cbrt (+ (* x x) (* y y)))
30.2b	(cbrt (+ (* x x) (* y y)))
30.2b	(cbrt (+ (* x x) (* y y)))
37.4b	(sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

3.0ms	(cbrt (+ (* x x) (* y y)))
3.0ms	(cbrt (+ (* x x) (* y y)))
3.0ms	(cbrt (+ (* x x) (* y y)))
17.0ms	(sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))

series384.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(cbrt (+ (* x x) (* y y)))
95.0ms	(cbrt (+ (* x x) (* y y)))
94.0ms	(cbrt (+ (* x x) (* y y)))
100.0ms	(sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))

simplify72.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (64.0ms)

Iter	Nodes	Cost
0	201	739
1	622	690
2	2121	690
3	5003	689

prune173.0ms

Filtered

66 candidates to 57 candidates (86.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	66	5	71

Merged error: 18.4b

Counts

71 → 5

localize2.0ms

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

prune4.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	2	2
Total	5	5

Merged error: 18.4b

Counts

5 → 5

localize1.0ms

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

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	3	3
Total	5	5

Merged error: 18.4b

Counts

5 → 5

regimes268.0ms

Accuracy

63% (7.2b remaining)

Error of 25.9b against oracle of 18.7b and baseline of 38.1b

bsearch65.0ms

Steps

Iters	Range		Point
8	1.4086745922716103e+107	5.875883063540779e+109	2.754899277385485e+109
10	-2.1290506625487466e+156	-4.875208898586748e+137	-5.260721638230767e+144

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	7
1	21	7

end0.0ms

sample478.0ms

Algorithm

intervals

Results

313.0ms

8000×

body

valid

Details

sample19.0ms

simplify10.0ms

prune2.0ms

localize8.0ms

rewrite15.0ms

series170.0ms

simplify95.0ms

prune98.0ms

localize12.0ms

rewrite29.0ms

series384.0ms

simplify72.0ms

prune173.0ms

localize2.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune4.0ms

localize1.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune0.0ms

regimes268.0ms

bsearch65.0ms

simplify4.0ms

end0.0ms

sample478.0ms

Profiling