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

46.0ms	129×	body	1024	valid
16.0ms	64×	body	512	valid
7.0ms	13×	body	2048	valid
3.0ms	34×	body	256	valid
1.0ms	16×	body	128	valid

simplify132.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (125.0ms)

Iter	Nodes	Cost
0	5283	12

prune1.0ms

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: 59.1b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
6.0b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

rewrite25.0ms

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:

9.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
9.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

series80.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
56.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

simplify122.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	5068	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 3 expressions with local error:

0.0b	(+.f64 (.f64 (pow.f64 eps 5) -2/5) (.f64 (pow.f64 eps 3) -2/3))
0.1b	(*.f64 (pow.f64 eps 5) -2/5)
0.1b	(*.f64 (pow.f64 eps 3) -2/3)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64`
19×	`associate-l_binary64`
13×	`add-exp-log_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`unpow-prod-down_binary64`
7×	`add-cbrt-cube_binary64` `unswap-sqr_binary64`
6×	`associate-r_binary64` `prod-exp_binary64`
5×	`add-log-exp_binary64`
4×	`sqr-pow_binary64` `cube-prod_binary64`
3×	`pow1_binary64`
2×	`pow-to-exp_binary64` `cbrt-unprod_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `unpow3_binary64` `sum-log_binary64` `cube-mult_binary64`

Counts

3 → 67

Calls

3 calls:

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

series289.0ms

Counts

3 → 9

Calls

3 calls:

183.0ms	(+.f64 (.f64 (pow.f64 eps 5) -2/5) (.f64 (pow.f64 eps 3) -2/3))
59.0ms	(*.f64 (pow.f64 eps 5) -2/5)
47.0ms	(*.f64 (pow.f64 eps 3) -2/3)

simplify67.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4997	899
1	4997	899

prune62.0ms

Filtered

53 candidates to 76 candidates (-43.4%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	76	1	77

Merged error: 0b

Counts

77 → 1

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	22
1	19	22

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.4s	3993×	body	1024	valid
359.0ms	1948×	body	512	valid
222.0ms	428×	body	2048	valid
106.0ms	1022×	body	256	valid
28.0ms	609×	body	128	valid

Details

analyze4.0ms

sample79.0ms

simplify132.0ms

prune1.0ms

localize5.0ms

rewrite25.0ms

series80.0ms

simplify122.0ms

prune86.0ms

localize9.0ms

rewrite22.0ms

series289.0ms

simplify67.0ms

prune62.0ms

simplify2.0ms

end0.0ms

sample2.2s

Profiling