Details

sample27.0ms

Algorithm

intervals

Results

17.0ms	133×	body	1280	valid
4.0ms	123×	body	80	valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	15	5
1	30	5
2	43	4
3	50	4
4	56	4
5	62	4
6	64	4
7	64	4

prune7.0ms

Filtered

1 candidates to 1 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: 17.7b

Counts

2 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (/ 1.0 x) (sqrt (* x x)))
4.1b	(- (/ x x) (* (/ 1.0 x) (sqrt (* x x))))
28.0b	(sqrt (* x x))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
29×	`times-frac`
25×	`add-cube-cbrt` `*-un-lft-identity`
13×	`pow1` `fma-neg` `associate-l` `prod-diff`
8×	`add-exp-log` `add-cbrt-cube`
6×	`sqrt-pow1`
5×	`add-log-exp`
4×	`associate-r` `sqrt-prod` `unswap-sqr`
3×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `div-inv`
2×	`pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`cbrt-undiv` `pow2` `sub-neg` `rem-sqrt-square` `flip3--` `pow-plus` `pow1/2` `diff-log` `div-exp` `pow-sqr` `*-commutative` `pow-prod-up` `frac-sub` `flip--` `sub-div`

Counts

3 → 97

Calls

3 calls:

10.0ms	(* (/ 1.0 x) (sqrt (* x x)))
8.0ms	(- (/ x x) (* (/ 1.0 x) (sqrt (* x x))))
3.0ms	(sqrt (* x x))

series10.0ms

Counts

3 → 9

Calls

3 calls:

1.0ms	(* (/ 1.0 x) (sqrt (* x x)))
1.0ms	(- (/ x x) (* (/ 1.0 x) (sqrt (* x x))))
8.0ms	(sqrt (* x x))

simplify73.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	336	672
1	1694	550
2	5001	522

prune184.0ms

Filtered

106 candidates to 81 candidates (76.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	107	1	108

Merged error: 0b

Counts

108 → 1

localize6.0ms

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

1 alts after pruning (0 fresh and 1 done)

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

Merged error: 0b

Counts

1 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	4

end0.0ms

sample723.0ms

Algorithm

intervals

Results

503.0ms	4041×	body	1280	valid
120.0ms	3959×	body	80	valid