Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 34.4b

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))
31.9b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite14.0ms

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:

6.0ms	(+ (+ (* x x) (* y y)) (* z z))
3.0ms	(+ (* x x) (* y y))
5.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series37.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(+ (+ (* x x) (* y y)) (* z z))
5.0ms	(+ (* x x) (* y y))
22.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify81.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 3 (77.0ms)

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

prune66.0ms

Filtered

48 candidates to 37 candidates (22.9%)

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: 18.6b

Counts

49 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.0b	(pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3)
31.9b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
40.9b	(cbrt (pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3))

rewrite24.0ms

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	(+ (* x x) (* y y))
6.0ms	(pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3)
5.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
7.0ms	(cbrt (pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3))

series94.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ (* x x) (* y y))
49.0ms	(pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3)
20.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))
19.0ms	(cbrt (pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3))

simplify42.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	338	867
1	1444	834
2	5002	822

prune111.0ms

Filtered

101 candidates to 58 candidates (42.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	98	3	101
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	98	8	106

Merged error: 18.6b

Counts

106 → 8

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune15.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	5	5
Picked	1	1
Done	2	2
Total	8	8

Merged error: 18.6b

Counts

8 → 8

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 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	4	4
Picked	1	1
Done	3	3
Total	8	8

Merged error: 18.6b

Counts

8 → 8

regimes831.0ms

Accuracy

60.6% (7.7b remaining)

Error of 26.4b against oracle of 18.7b and baseline of 38.3b

bsearch33.0ms

Steps

Iters	Range		Point
8	6.944055718514634e+55	1.987909056376937e+59	1.9652265065732148e+59
8	-2.6907717808382143e+96	-5.954044022157104e+93	-2.6539237641101247e+96

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	7
1	21	7

end0.0ms

sample633.0ms

Algorithm

intervals

Results

336.0ms

8000×

body

valid

Details

sample22.0ms

simplify5.0ms

prune3.0ms

localize8.0ms

rewrite14.0ms

series37.0ms

simplify81.0ms

prune66.0ms

localize11.0ms

rewrite24.0ms

series94.0ms

simplify42.0ms

prune111.0ms

localize1.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune15.0ms

localize2.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune0.0ms

regimes831.0ms

bsearch33.0ms

simplify1.0ms

end0.0ms

sample633.0ms

Profiling