Details

analyze39.0ms

Algorithm

Search

True	Other	False	Iter
0%	6.2%	93.8%	0
0%	6.2%	93.8%	1
0%	6.2%	93.8%	2
1.6%	3.1%	95.3%	3
1.6%	3.1%	95.3%	4
2.3%	1.6%	96.1%	5
2.3%	1.6%	96.1%	6
2.7%	0.8%	96.5%	7
2.7%	0.8%	96.5%	8
2.9%	0.4%	96.7%	9
2.9%	0.4%	96.7%	10
3%	0.2%	96.8%	11
3%	0.2%	96.8%	12
3.1%	0.1%	96.8%	13
3.1%	0.1%	96.8%	14

sample20.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
4.0ms	256×	pre	80	true
0.0ms	7×	pre	80	false

simplify198.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (183.0ms)

Iter	Nodes	Cost
0	4752	17
1	4752	17

prune3.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 15.8b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
30.2b	(/.f64 (.f64 b b) (.f64 a a))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64` `div-exp_binary64`
3×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64`
2×	`add-log-exp_binary64` `insert-posit16`
1×	`associate-/r_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64`

Counts

2 → 36

Calls

2 calls:

1.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
8.0ms	(/.f64 (.f64 b b) (.f64 a a))

series568.0ms

Counts

2 → 6

Calls

2 calls:

285.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
282.0ms	(/.f64 (.f64 b b) (.f64 a a))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	432	450
1	432	450
0	8	9
1	8	9
0	432	450
1	432	450
0	8	9
1	8	9
0	1	3
1	1	3
0	199	1785
1	199	1785
0	141	1467
1	141	1467
0	199	1785
1	199	1785
0	141	1467
1	141	1467
0	5287	14

simplify137.0ms

Counts

42 → 42

Iterations

Useful iterations: 0 (118.0ms)

Iter	Nodes	Cost
0	4968	431
1	4968	431

prune28.0ms

Filtered

29 candidates to 42 candidates (-44.8%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	1	43

Merged error: 0b

Counts

43 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (cbrt.f64 (pow.f64 (/.f64 b a) 6)))))
0.3b	(pow.f64 (/.f64 b a) 6)
29.7b	(cbrt.f64 (pow.f64 (/.f64 b a) 6))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

26×	`unpow-prod-down_binary64`
21×	`add-sqr-sqrt_binary64`
20×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
18×	`times-frac_binary64`
17×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
5×	`pow1_binary64`
3×	`pow-unpow_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64` `insert-posit16` `sqrt-prod_binary64`
2×	`sqr-pow_binary64` `div-inv_binary64` `pow-exp_binary64`
1×	`pow-to-exp_binary64` `pow1/2_binary64` `pow1/3_binary64` `pow-pow_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `div-exp_binary64`

Counts

3 → 69

Calls

3 calls:

1.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (cbrt.f64 (pow.f64 (/.f64 b a) 6)))))
6.0ms	(pow.f64 (/.f64 b a) 6)
5.0ms	(cbrt.f64 (pow.f64 (/.f64 b a) 6))

series754.0ms

Counts

3 → 9

Calls

3 calls:

272.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (cbrt.f64 (pow.f64 (/.f64 b a) 6)))))
231.0ms	(pow.f64 (/.f64 b a) 6)
251.0ms	(cbrt.f64 (pow.f64 (/.f64 b a) 6))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	108	1680
1	108	1680
0	75	1605
1	75	1605
0	108	1680
1	108	1680
0	75	1605
1	75	1605
0	4907	40
1	4907	40
0	384	441
1	384	441
0	13	9
1	13	9
0	384	441
1	384	441
0	13	9
1	13	9
0	1	3
1	1	3
0	204	1743
1	204	1743
0	115	1668
1	115	1668
0	204	1743
1	204	1743
0	115	1668
1	115	1668
0	4904	60
1	4904	60

simplify71.0ms

Counts

78 → 78

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5632	1045

prune54.0ms

Filtered

56 candidates to 78 candidates (-39.3%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	78	1	79

Merged error: 0b

Counts

79 → 1

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	16
1	22	16

end0.0ms

sample547.0ms

Algorithm

intervals

Results

257.0ms	8000×	body	80	valid
140.0ms	8000×	pre	80	true
2.0ms	110×	pre	80	false

Details

analyze39.0ms

sample20.0ms

simplify198.0ms

prune3.0ms

localize8.0ms

rewrite11.0ms

series568.0ms

simplify137.0ms

prune28.0ms

localize8.0ms

rewrite15.0ms

series754.0ms

simplify71.0ms

prune54.0ms

simplify6.0ms

end0.0ms

sample547.0ms

Profiling