Details

analyze346.0ms (14.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	87.4%	12.6%	5
9.4%	65.5%	25.1%	6
14%	60.8%	25.1%	7
19.5%	49.1%	31.4%	8
24.6%	37.8%	37.6%	9
28.7%	33.7%	37.6%	10
33.3%	26%	40.7%	11
36.2%	19.9%	43.8%	12
38.6%	17.6%	43.8%	13
41.3%	13.3%	45.4%	14

sample34.0ms (1.4%)

Algorithm

1×

intervals

Results

17.0ms	256×	body	80	valid
1.0ms	24×	body	80	nan
0.0ms	1×	body	80	invalid

simplify179.0ms (7.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (177.0ms)

Iter	Nodes	Cost
0	4928	8
1	4928	8

prune6.0ms (0.3%)

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: 13.7b

Counts

2 → 1

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(- (* x (log (/ x y))) z)
0.3b	(* x (log (/ x y)))
13.5b	(log (/ x y))

rewrite23.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

65×	`log-prod`
45×	`times-frac`
42×	`add-sqr-sqrt`
40×	`add-cube-cbrt` `*-un-lft-identity`
26×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
8×	`add-exp-log`
7×	`pow1`
5×	`add-cbrt-cube` `div-inv` `add-log-exp`
4×	`associate-r`
3×	`associate-l`
2×	`rem-log-exp` `log-pow`
1×	`sub-neg` `log-div` `flip3--` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

3 → 106

Calls

3 calls:

7.0ms	(- (* x (log (/ x y))) z)
5.0ms	(* x (log (/ x y)))
2.0ms	(log (/ x y))

series51.0ms (2.1%)

Counts

3 → 9

Calls

3 calls:

24.0ms	(- (* x (log (/ x y))) z)
16.0ms	(* x (log (/ x y)))
12.0ms	(log (/ x y))

simplify54.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5121	1125

prune167.0ms (6.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	107	8	115
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	107	9	116

Merged error: 0.0b

Counts

116 → 9

localize15.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series89.0ms (3.6%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt x)
22.0ms	(cbrt x)
21.0ms	(cbrt y)
21.0ms	(cbrt y)

simplify39.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5228	200

prune97.0ms (4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	56	9	65

Merged error: 0.0b

Counts

65 → 9

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series87.0ms (3.5%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt x)
21.0ms	(cbrt y)
21.0ms	(cbrt x)
21.0ms	(cbrt y)

simplify36.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5228	200

prune92.0ms (3.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	56	9	65

Merged error: 0.0b

Counts

65 → 9

localize16.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
3.8b	(log (/ x (cbrt y)))

rewrite9.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`log-prod`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`cbrt-prod` `times-frac`
7×	`add-exp-log`
5×	`pow1`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow1/3`
2×	`rem-log-exp`
1×	`log-div` `div-exp` `log-pow` `div-inv`

Counts

4 → 66

Calls

4 calls:

3.0ms	(log (/ x (cbrt y)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series91.0ms (3.7%)

Counts

4 → 12

Calls

4 calls:

26.0ms	(log (/ x (cbrt y)))
22.0ms	(cbrt y)
21.0ms	(cbrt y)
21.0ms	(cbrt y)

simplify60.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5046	489

prune110.0ms (4.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	1	4	5
Picked	0	1	1
Done	1	2	3
Total	79	8	87

Merged error: 0b

Counts

87 → 8

regimes266.0ms (10.8%)

Accuracy

Total 0.2b remaining (90.5%)

Threshold costs 0.2b (90.5%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	21
1	27	21

end0.0ms (0%)

sample554.0ms (22.6%)

Algorithm

1×

intervals

Results

330.0ms	8000×	body	80	valid
25.0ms	774×	body	80	nan
2.0ms	44×	body	80	invalid

Details

analyze346.0ms (14.1%)

sample34.0ms (1.4%)

simplify179.0ms (7.3%)

prune6.0ms (0.3%)

localize7.0ms (0.3%)

rewrite23.0ms (0.9%)

series51.0ms (2.1%)

simplify54.0ms (2.2%)

prune167.0ms (6.8%)

localize15.0ms (0.6%)

rewrite6.0ms (0.2%)

series89.0ms (3.6%)

simplify39.0ms (1.6%)

prune97.0ms (4%)

localize13.0ms (0.5%)

rewrite6.0ms (0.2%)

series87.0ms (3.5%)

simplify36.0ms (1.5%)

prune92.0ms (3.8%)

localize16.0ms (0.6%)

rewrite9.0ms (0.4%)

series91.0ms (3.7%)

simplify60.0ms (2.4%)

prune110.0ms (4.5%)

regimes266.0ms (10.8%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample554.0ms (22.6%)

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