Details

sample36.0ms

Algorithm

intervals

Results

8.0ms	346×	body	80	nan
8.0ms	320×	body	80	valid

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	5
1	21	5
2	36	5
3	62	5
4	133	5
5	211	5
6	397	5
7	1798	5
8	5001	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.5b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (sqrt (- (* y y) (* z z))))
2.4b	(- (* y y) (* z z))
24.9b	(sqrt (- (* y y) (* z z)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

27.0ms	(* x (sqrt (- (* y y) (* z z))))
8.0ms	(- (* y y) (* z z))
9.0ms	(sqrt (- (* y y) (* z z)))

series141.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(* x (sqrt (- (* y y) (* z z))))
27.0ms	(- (* y y) (* z z))
44.0ms	(sqrt (- (* y y) (* z z)))

simplify74.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	187	364
1	732	340
2	3010	337
3	5002	337

prune139.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

2.4b	(- (* y y) (* z z))
24.9b	(sqrt (- (* y y) (* z z)))
24.9b	(sqrt (- (* y y) (* z z)))
24.9b	(sqrt (- (* y y) (* z z)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

12×	`sqrt-prod`
10×	`add-sqr-sqrt`
7×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-div` `add-log-exp`
4×	`add-exp-log` `flip3--` `add-cbrt-cube` `flip--` `difference-of-squares`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`sub-neg` `diff-log`

Counts

4 → 61

Calls

4 calls:

8.0ms	(- (* y y) (* z z))
9.0ms	(sqrt (- (* y y) (* z z)))
9.0ms	(sqrt (- (* y y) (* z z)))
9.0ms	(sqrt (- (* y y) (* z z)))

series162.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- (* y y) (* z z))
46.0ms	(sqrt (- (* y y) (* z z)))
42.0ms	(sqrt (- (* y y) (* z z)))
46.0ms	(sqrt (- (* y y) (* z z)))

simplify48.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (42.0ms)

Iter	Nodes	Cost
0	122	401
1	432	381
2	1459	381
3	5001	378

prune224.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

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 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune5.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.1b

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

prune0.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.1b

Details

sample36.0ms

simplify79.0ms

prune2.0ms

localize9.0ms

rewrite45.0ms

series141.0ms

simplify74.0ms

prune139.0ms

localize12.0ms

rewrite36.0ms

series162.0ms

simplify48.0ms

prune224.0ms

localize3.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune5.0ms

localize2.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune0.0ms

regimes381.0ms

bsearch23.0ms