Details

analyze5.0ms

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

sample90.0ms

Algorithm

intervals

Results

51.0ms	103×	body	1280	valid
24.0ms	87×	body	640	valid
6.0ms	34×	body	320	valid
3.0ms	25×	body	160	valid
0.0ms	7×	body	80	valid

simplify259.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (251.0ms)

Iter	Nodes	Cost
0	4006	15
1	4006	15

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: 58.4b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

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

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-/r*_binary64`
4×	`add-cbrt-cube_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `flip3--_binary64` `rem-log-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `cbrt-undiv_binary64` `log-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `log-div_binary64` `flip-+_binary64`

Counts

2 → 91

Calls

2 calls:

8.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
8.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

series40.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
30.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

simplify103.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5207	1898

prune86.0ms

Filtered

59 candidates to 97 candidates (-64.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	1	98

Merged error: 0b

Counts

98 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
15×	`associate-l_binary64`
12×	`add-exp-log_binary64`
10×	`associate-r_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`unpow-prod-down_binary64`
7×	`unswap-sqr_binary64`
6×	`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 2/5 (pow.f64 x 5))
6.0ms	(*.f64 (pow.f64 x 3) 2/3)

series64.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(*.f64 2/5 (pow.f64 x 5))
29.0ms	(*.f64 (pow.f64 x 3) 2/3)

simplify59.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4969	592
1	4969	592

prune52.0ms

Filtered

40 candidates to 62 candidates (-55.0%)

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	20	25
1	20	25

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.7s	3436×	body	1280	valid
714.0ms	2454×	body	640	valid
224.0ms	1253×	body	320	valid
72.0ms	634×	body	160	valid
12.0ms	223×	body	80	valid

Details

analyze5.0ms

sample90.0ms

simplify259.0ms

prune3.0ms

localize9.0ms

rewrite20.0ms

series40.0ms

simplify103.0ms

prune86.0ms

localize10.0ms

rewrite13.0ms

series64.0ms

simplify59.0ms

prune52.0ms

simplify3.0ms

end0.0ms

sample2.9s

Profiling