Details

sample32.0ms

Algorithm

intervals

Results

8.0ms	351×	body	80	nan
8.0ms	323×	body	80	valid

simplify91.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	5
1	22	5
2	39	5
3	71	5
4	167	5
5	298	5
6	545	5
7	2142	5
8	5001	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.2b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (sqrt (- (* y y) (* z z))))
1.4b	(- (* y y) (* z z))
25.2b	(sqrt (- (* y y) (* z z)))

rewrite21.0ms

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×	`expm1-log1p-u` `flip3--` `associate-l` `flip--` `log1p-expm1-u` `difference-of-squares`
2×	`associate-*r/` `unswap-sqr`
1×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

3 → 62

Calls

3 calls:

12.0ms	(* x (sqrt (- (* y y) (* z z))))
3.0ms	(- (* y y) (* z z))
5.0ms	(sqrt (- (* y y) (* z z)))

series163.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(* x (sqrt (- (* y y) (* z z))))
34.0ms	(- (* y y) (* z z))
50.0ms	(sqrt (- (* y y) (* z z)))

simplify85.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (79.0ms)

Iter	Nodes	Cost
0	202	397
1	786	374
2	3192	368
3	5001	364

prune181.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

1.4b	(- (* y y) (* z z))
1.4b	(- (* y y) (* z z))
25.2b	(sqrt (- (* y y) (* z z)))
25.2b	(sqrt (- (* y y) (* z z)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod` `add-log-exp`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `expm1-log1p-u` `flip3--` `sqrt-div` `add-cbrt-cube` `flip--` `log1p-expm1-u` `difference-of-squares`
2×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-neg` `diff-log` `prod-diff`

Counts

4 → 70

Calls

4 calls:

3.0ms	(- (* y y) (* z z))
3.0ms	(- (* y y) (* z z))
5.0ms	(sqrt (- (* y y) (* z z)))
5.0ms	(sqrt (- (* y y) (* z z)))

series165.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (* y y) (* z z))
31.0ms	(- (* y y) (* z z))
51.0ms	(sqrt (- (* y y) (* z z)))
47.0ms	(sqrt (- (* y y) (* z z)))

simplify55.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (49.0ms)

Iter	Nodes	Cost
0	135	420
1	482	394
2	1632	388
3	5001	378

prune277.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

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

prune4.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

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

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

Details

sample32.0ms

simplify91.0ms

prune2.0ms

localize7.0ms

rewrite21.0ms

series163.0ms

simplify85.0ms

prune181.0ms

localize12.0ms

rewrite17.0ms

series165.0ms

simplify55.0ms

prune277.0ms

localize3.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune4.0ms

localize2.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune0.0ms

regimes252.0ms

bsearch8.0ms