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

sample40.0ms

Algorithm

intervals

Results

15.0ms	51×	body	1280	valid
10.0ms	56×	body	640	valid
6.0ms	117×	body	80	valid
3.0ms	26×	body	320	valid
0.0ms	6×	body	160	valid

simplify15.0ms

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: 33.2b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

2.1b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
3.5b	(log.f64 (+.f64 N 1))

rewrite11.0ms

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:

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

series41.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
17.0ms	(log.f64 (+.f64 N 1))

simplify92.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4911	648
1	4911	648

prune47.0ms

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

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3)))
0.3b	(/.f64 1/2 (*.f64 N N))
0.5b	(/.f64 1/3 (pow.f64 N 3))
10.4b	(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (*.f64 N N)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

45×	`*-un-lft-identity_binary64`
42×	`times-frac_binary64`
35×	`add-sqr-sqrt_binary64`
31×	`add-cube-cbrt_binary64`
14×	`add-exp-log_binary64`
13×	`associate-/r*_binary64`
12×	`unpow-prod-down_binary64` `cube-prod_binary64`
11×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
6×	`associate-/l*_binary64`
5×	`distribute-lft-out_binary64` `div-exp_binary64`
4×	`pow1_binary64` `sqr-pow_binary64` `div-inv_binary64` `unpow3_binary64` `cube-mult_binary64`
3×	`cbrt-undiv_binary64` `distribute-lft-out--_binary64` `frac-sub_binary64`
2×	`flip3-+_binary64` `diff-log_binary64` `frac-add_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `flip-+_binary64` `sum-log_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip--_binary64` `pow-exp_binary64` `associate--l+_binary64`

Counts

4 → 122

Calls

4 calls:

28.0ms	(+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3)))
5.0ms	(/.f64 1/2 (*.f64 N N))
6.0ms	(/.f64 1/3 (pow.f64 N 3))
32.0ms	(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (*.f64 N N)))

series109.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3)))
20.0ms	(/.f64 1/2 (*.f64 N N))
28.0ms	(/.f64 1/3 (pow.f64 N 3))
15.0ms	(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (*.f64 N N)))

simplify58.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5268	2150

prune104.0ms

Filtered

80 candidates to 134 candidates (-67.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	133	1	134
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	133	4	137

Merged error: 0.0b

Counts

137 → 4

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 N 1) N)
2.0b	(log.f64 (/.f64 (+.f64 N 1) N))

rewrite12.0ms

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:

6.0ms	(/.f64 (+.f64 N 1) N)
5.0ms	(log.f64 (/.f64 (+.f64 N 1) N))

series48.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/.f64 (+.f64 N 1) N)
20.0ms	(log.f64 (/.f64 (+.f64 N 1) N))

simplify141.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (124.0ms)

Iter	Nodes	Cost
0	4931	940
1	4931	940

prune41.0ms

Filtered

45 candidates to 66 candidates (-46.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	65	5	70

Merged error: 0.0b

Counts

70 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (/.f64 (+.f64 N 1) N))
0.2b	(cbrt.f64 (/.f64 (+.f64 N 1) N))
2.0b	(log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))
2.0b	(log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 110

Calls

4 calls:

4.0ms	(cbrt.f64 (/.f64 (+.f64 N 1) N))
4.0ms	(cbrt.f64 (/.f64 (+.f64 N 1) N))
5.0ms	(log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))
6.0ms	(log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))

series146.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(cbrt.f64 (/.f64 (+.f64 N 1) N))
29.0ms	(cbrt.f64 (/.f64 (+.f64 N 1) N))
43.0ms	(log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))
45.0ms	(log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))

simplify87.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4953	2422
1	4953	2422

prune135.0ms

Filtered

98 candidates to 122 candidates (-24.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	122	5	127

Merged error: 0.0b

Counts

127 → 5

regimes23.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 32.0b

bsearch12.0ms

Steps

Iters	Range		Point
7	550.0360979660445	53205.42801207043	8936.82120567179

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	37
1	40	37

end0.0ms

sample1.2s

Algorithm

intervals

Results

499.0ms	1688×	body	1280	valid
236.0ms	1249×	body	640	valid
217.0ms	4135×	body	80	valid
81.0ms	636×	body	320	valid
23.0ms	292×	body	160	valid

Details

analyze2.0ms

sample40.0ms

simplify15.0ms

prune1.0ms

localize6.0ms

rewrite11.0ms

series41.0ms

simplify92.0ms

prune47.0ms

localize10.0ms

rewrite74.0ms

series109.0ms

simplify58.0ms

prune104.0ms

localize4.0ms

rewrite12.0ms

series48.0ms

simplify141.0ms

prune41.0ms

localize9.0ms

rewrite24.0ms

series146.0ms

simplify87.0ms

prune135.0ms

regimes23.0ms

bsearch12.0ms

simplify3.0ms

end0.0ms

sample1.2s

Profiling