Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

sample79.0ms

Algorithm

intervals

Results

45.0ms	103×	body	1280	valid
21.0ms	87×	body	640	valid
5.0ms	34×	body	320	valid
2.0ms	24×	body	160	valid
0.0ms	8×	body	80	valid

simplify148.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (140.0ms)

Iter	Nodes	Cost
0	5284	12

prune5.0ms

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: 58.5b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
6.6b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64`
52×	`add-sqr-sqrt_binary64`
48×	`times-frac_binary64`
30×	`log-prod_binary64`
25×	`add-cube-cbrt_binary64`
18×	`difference-of-squares_binary64`
13×	`distribute-lft-out_binary64`
9×	`distribute-lft-out--_binary64`
7×	`add-exp-log_binary64`
6×	`associate-/l*_binary64`
4×	`associate-/r*_binary64` `add-cbrt-cube_binary64` `associate-/r/_binary64`
3×	`pow1_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `add-log-exp_binary64` `rem-log-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`flip3--_binary64` `cbrt-undiv_binary64` `log-pow_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `log-div_binary64` `flip--_binary64`

Counts

2 → 92

Calls

2 calls:

8.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
7.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

series40.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
29.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

simplify107.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4945	1892
1	4945	1892

prune86.0ms

Filtered

60 candidates to 98 candidates (-63.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	98	1	99

Merged error: 0b

Counts

99 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (pow.f64 eps 5) -2/5)
0.1b	(*.f64 (pow.f64 eps 3) 2/3)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
19×	`associate-l_binary64`
12×	`add-exp-log_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`unpow-prod-down_binary64`
7×	`unswap-sqr_binary64`
6×	`associate-r_binary64` `add-cbrt-cube_binary64` `prod-exp_binary64`
4×	`sqr-pow_binary64` `cube-prod_binary64`
2×	`pow-to-exp_binary64` `add-log-exp_binary64` `pow1_binary64` `cbrt-unprod_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`unpow3_binary64` `cube-mult_binary64`

Counts

2 → 56

Calls

2 calls:

5.0ms	(*.f64 (pow.f64 eps 5) -2/5)
6.0ms	(*.f64 (pow.f64 eps 3) 2/3)

series58.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(*.f64 (pow.f64 eps 5) -2/5)
28.0ms	(*.f64 (pow.f64 eps 3) 2/3)

simplify100.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4878	595
1	4878	595

prune49.0ms

Filtered

42 candidates to 62 candidates (-47.6%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	62	1	63

Merged error: 0b

Counts

63 → 1

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	22
1	44	22

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.6s	3435×	body	1280	valid
625.0ms	2455×	body	640	valid
186.0ms	1252×	body	320	valid
60.0ms	632×	body	160	valid
10.0ms	226×	body	80	valid

Details

analyze4.0ms

sample79.0ms

simplify148.0ms

prune5.0ms

localize6.0ms

rewrite20.0ms

series40.0ms

simplify107.0ms

prune86.0ms

localize9.0ms

rewrite12.0ms

series58.0ms

simplify100.0ms

prune49.0ms

simplify3.0ms

end0.0ms

sample2.6s

Profiling