Details

analyze2.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
50%	0%	50%	4

sample35.0ms

Algorithm

intervals

Results

13.0ms	46×	body	1280	valid
7.0ms	137×	body	80	valid
7.0ms	36×	body	640	valid
3.0ms	25×	body	320	valid
1.0ms	12×	body	160	valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	72	11
1	72	11

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: 28.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

2.2b	(log.f64 (+.f64 N 1))
4.2b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64`
11×	`log-prod_binary64`
7×	`pow1_binary64` `add-sqr-sqrt_binary64`
5×	`add-cube-cbrt_binary64` `log-pow_binary64`
4×	`distribute-lft-out--_binary64` `log-div_binary64` `associate--l+_binary64`
3×	`associate--r+_binary64` `add-exp-log_binary64`
2×	`flip3-+_binary64` `add-log-exp_binary64` `associate--l-_binary64` `distribute-lft-out_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `rem-log-exp_binary64` `difference-of-squares_binary64` `flip--_binary64`

Counts

2 → 40

Calls

2 calls:

3.0ms	(log.f64 (+.f64 N 1))
7.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

series44.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(log.f64 (+.f64 N 1))
30.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

simplify91.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4911	648
1	4911	648

prune42.0ms

Filtered

33 candidates to 46 candidates (-39.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	43	3	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	3	47

Merged error: 0.1b

Counts

47 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 N 1) N)
4.0b	(log.f64 (/.f64 (+.f64 N 1) N))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity_binary64`
24×	`times-frac_binary64`
19×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
16×	`log-prod_binary64`
7×	`distribute-lft-out_binary64` `add-exp-log_binary64`
4×	`add-cbrt-cube_binary64` `associate-/l*_binary64`
3×	`associate-/r*_binary64` `pow1_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `rem-log-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`flip3-+_binary64` `cbrt-undiv_binary64` `log-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `log-div_binary64` `flip-+_binary64`

Counts

2 → 60

Calls

2 calls:

8.0ms	(/.f64 (+.f64 N 1) N)
5.0ms	(log.f64 (/.f64 (+.f64 N 1) N))

series56.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/.f64 (+.f64 N 1) N)
23.0ms	(log.f64 (/.f64 (+.f64 N 1) N))

simplify137.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (120.0ms)

Iter	Nodes	Cost
0	4931	940
1	4931	940

prune42.0ms

Filtered

45 candidates to 66 candidates (-46.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	66	3	69

Merged error: 0.1b

Counts

69 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 N)
0.5b	(cbrt.f64 N)
4.0b	(log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N)))
4.0b	(log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

96×	`cbrt-prod_binary64`
92×	`log-prod_binary64`
84×	`*-un-lft-identity_binary64` `times-frac_binary64`
60×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
12×	`distribute-lft-out_binary64`
10×	`add-exp-log_binary64`
6×	`pow1_binary64`
4×	`add-log-exp_binary64` `rem-log-exp_binary64` `add-cbrt-cube_binary64`
2×	`pow1/3_binary64` `log-pow_binary64` `div-inv_binary64` `div-exp_binary64` `log-div_binary64`

Counts

4 → 136

Calls

4 calls:

1.0ms	(cbrt.f64 N)
1.0ms	(cbrt.f64 N)
8.0ms	(log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N)))
8.0ms	(log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N)))

series326.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(cbrt.f64 N)
87.0ms	(cbrt.f64 N)
47.0ms	(log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N)))
45.0ms	(log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N)))

simplify116.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4905	3308
1	4905	3308

prune182.0ms

Filtered

120 candidates to 148 candidates (-23.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	148	3	151

Merged error: 0.1b

Counts

151 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (log.f64 (+.f64 N 1)))
0.6b	(exp.f64 (log.f64 (log.f64 (+.f64 N 1))))
2.2b	(log.f64 (+.f64 N 1))
22.6b	(-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (log.f64 N))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

16×	`log-prod_binary64`
14×	`*-un-lft-identity_binary64`
13×	`add-sqr-sqrt_binary64`
10×	`pow1_binary64`
9×	`add-cube-cbrt_binary64`
6×	`log-pow_binary64` `add-exp-log_binary64`
5×	`add-log-exp_binary64` `exp-sum_binary64`
4×	`add-cbrt-cube_binary64` `exp-prod_binary64`
3×	`associate--r+_binary64`
2×	`rem-log-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `log-div_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `rem-exp-log_binary64` `flip--_binary64` `flip-+_binary64`

Counts

4 → 62

Calls

4 calls:

1.0ms	(log.f64 (log.f64 (+.f64 N 1)))
2.0ms	(exp.f64 (log.f64 (log.f64 (+.f64 N 1))))
3.0ms	(log.f64 (+.f64 N 1))
7.0ms	(-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (log.f64 N))

series82.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(log.f64 (log.f64 (+.f64 N 1)))
14.0ms	(exp.f64 (log.f64 (log.f64 (+.f64 N 1))))
11.0ms	(log.f64 (+.f64 N 1))
29.0ms	(-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (log.f64 N))

simplify79.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4920	1022
1	4920	1022

prune46.0ms

Filtered

51 candidates to 74 candidates (-45.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	74	3	77

Merged error: 0.1b

Counts

77 → 3

regimes14.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 29.2b

bsearch12.0ms

Steps

Iters	Range		Point
7	584.8601318192858	41970.305899277315	3203.370459832598

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	43
1	51	43

end0.0ms

sample1.3s

Algorithm

intervals

Results

562.0ms	1768×	body	1280	valid
260.0ms	1238×	body	640	valid
233.0ms	4120×	body	80	valid
80.0ms	591×	body	320	valid
25.0ms	283×	body	160	valid

Details

analyze2.0ms

sample35.0ms

simplify14.0ms

prune1.0ms

localize6.0ms

rewrite12.0ms

series44.0ms

simplify91.0ms

prune42.0ms

localize5.0ms

rewrite14.0ms

series56.0ms

simplify137.0ms

prune42.0ms

localize11.0ms

rewrite25.0ms

series326.0ms

simplify116.0ms

prune182.0ms

localize10.0ms

rewrite15.0ms

series82.0ms

simplify79.0ms

prune46.0ms

regimes14.0ms

bsearch12.0ms

simplify3.0ms

end0.0ms

sample1.3s

Profiling