Details

analyze240.0ms (10.3%)

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

sample22.0ms (1%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	80	valid
1.0ms	23×	body	80	nan
0.0ms	1×	body	80	invalid

simplify110.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (108.0ms)

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: 16.2b

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)))
15.6b	(log (/ x y))

rewrite19.0ms (0.8%)

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)
6.0ms	(* x (log (/ x y)))
2.0ms	(log (/ x y))

series33.0ms (1.4%)

Counts

3 → 9

Calls

3 calls:

14.0ms	(- (* x (log (/ x y))) z)
10.0ms	(log (/ x y))
9.0ms	(* x (log (/ x y)))

simplify51.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5121	1125

prune171.0ms (7.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	107	8	115
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	8	116

Merged error: 0.0b

Counts

116 → 8

localize13.0ms (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)

series114.0ms (4.9%)

Counts

4 → 12

Calls

4 calls:

37.0ms	(cbrt y)
28.0ms	(cbrt x)
24.0ms	(cbrt y)
24.0ms	(cbrt x)

simplify33.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5228	200

prune120.0ms (5.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	56	8	64

Merged error: 0.0b

Counts

64 → 8

localize14.0ms (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)

rewrite5.0ms (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)

series88.0ms (3.8%)

Counts

4 → 12

Calls

4 calls:

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

simplify33.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5228	200

prune94.0ms (4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	56	8	64

Merged error: 0.0b

Counts

64 → 8

localize16.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
5.6b	(log (/ (cbrt x) 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 (/ (cbrt x) y))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series94.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

28.0ms	(log (/ (cbrt x) y))
23.0ms	(cbrt x)
22.0ms	(cbrt x)
21.0ms	(cbrt x)

simplify55.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4979	495
1	4979	495

prune112.0ms (4.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	78	8	86

Merged error: 0.0b

Counts

86 → 8

regimes290.0ms (12.5%)

Accuracy

Total 0.2b remaining (86.7%)

Threshold costs 0.2b (86.7%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	19
1	25	19

end0.0ms (0%)

sample564.0ms (24.3%)

Algorithm

1×

intervals

Results

332.0ms	8000×	body	80	valid
26.0ms	797×	body	80	nan
4.0ms	34×	body	80	invalid

Details

analyze240.0ms (10.3%)

sample22.0ms (1%)

simplify110.0ms (4.7%)

prune6.0ms (0.3%)

localize7.0ms (0.3%)

rewrite19.0ms (0.8%)

series33.0ms (1.4%)

simplify51.0ms (2.2%)

prune171.0ms (7.4%)

localize13.0ms (0.6%)

rewrite6.0ms (0.2%)

series114.0ms (4.9%)

simplify33.0ms (1.4%)

prune120.0ms (5.2%)

localize14.0ms (0.6%)

rewrite5.0ms (0.2%)

series88.0ms (3.8%)

simplify33.0ms (1.4%)

prune94.0ms (4%)

localize16.0ms (0.7%)

rewrite9.0ms (0.4%)

series94.0ms (4.1%)

simplify55.0ms (2.4%)

prune112.0ms (4.8%)

regimes290.0ms (12.5%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample564.0ms (24.3%)

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