Details

analyze519.0ms (14.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	93.6%	6.4%	7
3.1%	84.2%	12.7%	8
12.5%	67.1%	20.5%	9
16%	63.5%	20.5%	10
17.9%	57.7%	24.4%	11
22.6%	48.7%	28.7%	12
28.7%	37.8%	33.6%	13
30.4%	35.9%	33.7%	14

sample33.0ms (0.9%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	80	valid
4.0ms	114×	body	80	nan
1.0ms	27×	body	80	invalid

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	8
1	14	8

prune8.0ms (0.2%)

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: 15.5b

Counts

2 → 1

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.9b	(* c0 (sqrt (/ A (* V l))))
4.8b	(/ A (* V l))
13.8b	(sqrt (/ A (* V l)))

rewrite18.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`sqrt-prod`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log` `associate-r` `add-cbrt-cube`
9×	`times-frac`
6×	`pow1`
3×	`associate-l` `div-inv` `associate-/l*` `add-log-exp`
2×	`cbrt-undiv` `sqrt-div` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `associate-r/` `pow-prod-down` `clear-num` `associate-/r` `*-commutative`

Counts

3 → 66

Calls

3 calls:

7.0ms	(* c0 (sqrt (/ A (* V l))))
4.0ms	(/ A (* V l))
4.0ms	(sqrt (/ A (* V l)))

series29.0ms (0.8%)

Counts

3 → 9

Calls

3 calls:

14.0ms	(* c0 (sqrt (/ A (* V l))))
9.0ms	(sqrt (/ A (* V l)))
5.0ms	(/ A (* V l))

simplify76.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5085	561

prune158.0ms (4.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	63	12	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	12	76

Merged error: 5.4b

Counts

76 → 12

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

4.8b	(/ A (* V l))
4.8b	(/ A (* V l))
15.6b	(cbrt (/ A (* V l)))
15.6b	(cbrt (/ A (* V l)))

rewrite18.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-exp-log` `cbrt-prod` `add-cbrt-cube`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
6×	`associate-/l*`
4×	`pow1` `cbrt-undiv` `div-exp` `div-inv` `add-log-exp`
2×	`cbrt-div` `frac-2neg` `pow1/3` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod`

Counts

4 → 74

Calls

4 calls:

4.0ms	(/ A (* V l))
4.0ms	(/ A (* V l))
4.0ms	(cbrt (/ A (* V l)))
3.0ms	(cbrt (/ A (* V l)))

series56.0ms (1.6%)

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt (/ A (* V l)))
21.0ms	(cbrt (/ A (* V l)))
5.0ms	(/ A (* V l))
5.0ms	(/ A (* V l))

simplify73.0ms (2%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4948	618
1	4948	618

prune171.0ms (4.8%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	84	14	98

Merged error: 5.4b

Counts

98 → 14

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

4.8b	(/ A (* V l))
13.8b	(sqrt (/ A (* V l)))
13.8b	(sqrt (/ A (* V l)))
15.6b	(cbrt (/ A (* V l)))

rewrite17.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `sqrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
9×	`add-exp-log` `add-cbrt-cube`
7×	`cbrt-prod`
6×	`pow1`
4×	`div-inv` `add-log-exp`
3×	`associate-/l*`
2×	`cbrt-undiv` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `sqrt-div` `div-exp`
1×	`cbrt-div` `frac-2neg` `pow1/3` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

4.0ms	(/ A (* V l))
4.0ms	(cbrt (/ A (* V l)))
4.0ms	(sqrt (/ A (* V l)))
4.0ms	(sqrt (/ A (* V l)))

series45.0ms (1.3%)

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt (/ A (* V l)))
9.0ms	(sqrt (/ A (* V l)))
9.0ms	(sqrt (/ A (* V l)))
5.0ms	(/ A (* V l))

simplify48.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5154	605

prune172.0ms (4.8%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	12	12
Picked	0	1	1
Done	0	1	1
Total	85	14	99

Merged error: 5.4b

Counts

99 → 14

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt A)
4.8b	(/ A (* V l))
12.3b	(cbrt (* V l))
15.6b	(cbrt (/ A (* V l)))

rewrite14.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`cbrt-prod`
9×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`times-frac`
4×	`pow1` `add-log-exp`
3×	`pow1/3` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `div-inv`
1×	`cbrt-div` `frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod`

Counts

4 → 57

Calls

4 calls:

6.0ms	(/ A (* V l))
3.0ms	(cbrt (/ A (* V l)))
2.0ms	(cbrt (* V l))
1.0ms	(cbrt A)

series64.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt A)
21.0ms	(cbrt (/ A (* V l)))
15.0ms	(cbrt (* V l))
5.0ms	(/ A (* V l))

simplify49.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5414	418

prune97.0ms (2.7%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	66	3	69
Fresh	1	10	11
Picked	0	1	1
Done	0	2	2
Total	67	16	83

Merged error: 3.3b

Counts

83 → 16

regimes1.1s (30.2%)

Accuracy

Total 5.2b remaining (54.2%)

Threshold costs 0b (0%)

bsearch1.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	48
1	42	48

end0.0ms (0%)

sample768.0ms (21.6%)

Algorithm

1×

intervals

Results

300.0ms	8000×	body	80	valid
111.0ms	3073×	body	80	nan
31.0ms	856×	body	80	invalid

Details

analyze519.0ms (14.6%)

sample33.0ms (0.9%)

simplify3.0ms (0.1%)

prune8.0ms (0.2%)

localize7.0ms (0.2%)

rewrite18.0ms (0.5%)

series29.0ms (0.8%)

simplify76.0ms (2.1%)

prune158.0ms (4.4%)

localize11.0ms (0.3%)

rewrite18.0ms (0.5%)

series56.0ms (1.6%)

simplify73.0ms (2%)

prune171.0ms (4.8%)

localize16.0ms (0.5%)

rewrite17.0ms (0.5%)

series45.0ms (1.3%)

simplify48.0ms (1.4%)

prune172.0ms (4.8%)

localize15.0ms (0.4%)

rewrite14.0ms (0.4%)

series64.0ms (1.8%)

simplify49.0ms (1.4%)

prune97.0ms (2.7%)

regimes1.1s (30.2%)

bsearch1.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample768.0ms (21.6%)

Profiling