Details

analyze7.0ms

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

sample36.0ms

Algorithm

intervals

Results

12.0ms	41×	body	1280	valid
9.0ms	49×	body	640	valid
7.0ms	144×	body	80	valid
2.0ms	16×	body	320	valid
0.0ms	6×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	70	7
1	70	7

prune2.0ms

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: 26.5b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

2.1b	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
4.2b	(log.f64 (+.f64 N 1))

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:

8.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
3.0ms	(log.f64 (+.f64 N 1))

series8.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
4.0ms	(log.f64 (+.f64 N 1))

simplify42.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5077	415

prune55.0ms

Filtered

33 candidates to 46 candidates (-39.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	44	2	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	2	47

Merged error: 0.0b

Counts

47 → 2

localize5.0ms

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))

series11.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify67.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5091	613

prune53.0ms

Filtered

45 candidates to 66 candidates (-46.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	65	3	68

Merged error: 0.0b

Counts

68 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (/.f64 (+.f64 N 1) N))
0.3b	(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)))

rewrite23.0ms

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

series33.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(cbrt.f64 (/.f64 (+.f64 N 1) N))
7.0ms	(cbrt.f64 (/.f64 (+.f64 N 1) N))
9.0ms	(log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))
10.0ms	(log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))

simplify55.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5216	1518

prune142.0ms

Filtered

98 candidates to 122 candidates (-24.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	122	3	125

Merged error: 0.0b

Counts

125 → 3

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(/.f64 1/3 (pow.f64 N 3))
0.3b	(/.f64 1/2 (*.f64 N N))
14.4b	(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (*.f64 N N)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 107

Calls

3 calls:

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

series12.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(/.f64 1/3 (pow.f64 N 3))
3.0ms	(/.f64 1/2 (*.f64 N N))
5.0ms	(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (*.f64 N N)))

simplify52.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4969	1256
1	4969	1256

prune92.0ms

Filtered

68 candidates to 116 candidates (-70.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	115	4	119

Merged error: 0.0b

Counts

119 → 4

regimes37.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 28.5b

bsearch11.0ms

Steps

Iters	Range		Point
8	75.14282885332692	953905.2792568088	8069.600434568251

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	25
1	37	25

end0.0ms

sample1.1s

Algorithm

intervals

Results

492.0ms	1721×	body	1280	valid
225.0ms	1208×	body	640	valid
210.0ms	4197×	body	80	valid
73.0ms	597×	body	320	valid
21.0ms	277×	body	160	valid

Details

analyze7.0ms

sample36.0ms

simplify7.0ms

prune2.0ms

localize7.0ms

rewrite12.0ms

series8.0ms

simplify42.0ms

prune55.0ms

localize5.0ms

rewrite12.0ms

series11.0ms

simplify67.0ms

prune53.0ms

localize9.0ms

rewrite23.0ms

series33.0ms

simplify55.0ms

prune142.0ms

localize12.0ms

rewrite46.0ms

series12.0ms

simplify52.0ms

prune92.0ms

regimes37.0ms

bsearch11.0ms

simplify2.0ms

end0.0ms

sample1.1s

Profiling