Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify9.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.8b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (* x x) (* y y)) (* z z))
0.0b	(+ (* x x) (* y y))
35.1b	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite28.0ms

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:

12.0ms	(+ (+ (* x x) (* y y)) (* z z))
2.0ms	(+ (* x x) (* y y))
13.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

series166.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ (+ (* x x) (* y y)) (* z z))
27.0ms	(+ (* x x) (* y y))
103.0ms	(sqrt (+ (+ (* x x) (* y y)) (* z z)))

simplify91.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 3 (86.0ms)

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

prune129.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 15.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
0.2b	(* (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
36.3b	(cbrt (+ (+ (* x x) (* y y)) (* z z)))
36.3b	(cbrt (+ (+ (* x x) (* y y)) (* z z)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
14×	`cbrt-prod` `sqrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`associate-r`
8×	`cbrt-div`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube`
4×	`flip3-+` `sqrt-div` `flip-+` `add-log-exp`
3×	`pow1/3` `associate-l` `unswap-sqr`
2×	`rem-sqrt-square` `sqrt-pow1` `associate-*r/`
1×	`pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 74

Calls

4 calls:

14.0ms	(sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
35.0ms	(* (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
7.0ms	(cbrt (+ (+ (* x x) (* y y)) (* z z)))
7.0ms	(cbrt (+ (+ (* x x) (* y y)) (* z z)))

series453.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
136.0ms	(* (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
106.0ms	(cbrt (+ (+ (* x x) (* y y)) (* z z)))
106.0ms	(cbrt (+ (+ (* x x) (* y y)) (* z z)))

simplify48.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	320	1180
1	1279	1101
2	5002	1084

prune293.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 15.3b

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

prune2.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 15.3b

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

prune2.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 15.3b

regimes341.0ms

Accuracy

63.9% (7.1b remaining)

Error of 25.5b against oracle of 18.4b and baseline of 38.1b

bsearch58.0ms

Steps

Iters	Range		Point
8	1.1829225377078756e+70	5.1210306950163065e+73	5.054235297312576e+73
8	-8.637657805868028e+137	-2.1049707540843454e+135	-1.9353333948222178e+136

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	7
1	21	7

end0.0ms

sample411.0ms

Algorithm

intervals

Results

244.0ms

8000×

body

valid