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

sample82.0ms

Algorithm

intervals

Results

50.0ms	115×	body	1280	valid
18.0ms	72×	body	640	valid
7.0ms	47×	body	320	valid
1.0ms	16×	body	160	valid
0.0ms	6×	body	80	valid

simplify174.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (172.0ms)

Iter	Nodes	Cost
0	5041	8

prune6.0ms

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: 58.9b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 1.0 eps) (+.f64 1.0 eps))
5.1b	(log.f64 (/.f64 (-.f64 1.0 eps) (+.f64 1.0 eps)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity_binary64`
41×	`add-sqr-sqrt_binary64`
40×	`times-frac_binary64`
26×	`log-prod_binary64`
23×	`add-cube-cbrt_binary64`
11×	`distribute-lft-out_binary64`
9×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
7×	`add-exp-log_binary64`
5×	`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 → 83

Calls

2 calls:

9.0ms	(/.f64 (-.f64 1.0 eps) (+.f64 1.0 eps))
8.0ms	(log.f64 (/.f64 (-.f64 1.0 eps) (+.f64 1.0 eps)))

series10.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(/.f64 (-.f64 1.0 eps) (+.f64 1.0 eps))
7.0ms	(log.f64 (/.f64 (-.f64 1.0 eps) (+.f64 1.0 eps)))

simplify63.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4955	1113
1	4955	1113

prune96.0ms

Filtered

59 candidates to 89 candidates (-50.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	86	3	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	3	90

Merged error: 0.1b

Counts

90 → 3

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(+.f64 eps (/.f64 (.f64 eps eps) (.f64 1.0 1.0)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity_binary64` `add-log-exp_binary64`
1×	`flip3-+_binary64` `pow1_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

1 → 12

Calls

1 calls:

6.0ms

(+.f64 eps (/.f64 (*.f64 eps eps) (*.f64 1.0 1.0)))

series12.0ms

Counts

1 → 3

Calls

1 calls:

12.0ms

(+.f64 eps (/.f64 (*.f64 eps eps) (*.f64 1.0 1.0)))

simplify61.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4944	142
1	4944	142

prune27.0ms

Filtered

12 candidates to 15 candidates (-25.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	13	2	15
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	13	5	18

Merged error: 0.1b

Counts

18 → 5

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(log.f64 (+.f64 eps (pow.f64 (/.f64 eps 1.0) 2)))
0.0b	(+.f64 eps (pow.f64 (/.f64 eps 1.0) 2))
2.8b	(exp.f64 (log.f64 (+.f64 eps (pow.f64 (/.f64 eps 1.0) 2))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64`
8×	`log-prod_binary64`
6×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
4×	`add-exp-log_binary64` `exp-sum_binary64` `log-div_binary64` `exp-prod_binary64`
3×	`flip3-+_binary64` `distribute-lft-out_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`
2×	`log-pow_binary64` `exp-diff_binary64`
1×	`rem-log-exp_binary64` `rem-exp-log_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

3 → 45

Calls

3 calls:

9.0ms	(log.f64 (+.f64 eps (pow.f64 (/.f64 eps 1.0) 2)))
9.0ms	(+.f64 eps (pow.f64 (/.f64 eps 1.0) 2))
11.0ms	(exp.f64 (log.f64 (+.f64 eps (pow.f64 (/.f64 eps 1.0) 2))))

series30.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(log.f64 (+.f64 eps (pow.f64 (/.f64 eps 1.0) 2)))
12.0ms	(+.f64 eps (pow.f64 (/.f64 eps 1.0) 2))
13.0ms	(exp.f64 (log.f64 (+.f64 eps (pow.f64 (/.f64 eps 1.0) 2))))

simplify43.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5058	573

prune61.0ms

Filtered

38 candidates to 54 candidates (-42.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	54	5	59

Merged error: 0.1b

Counts

59 → 5

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(pow.f64 (cbrt.f64 (+.f64 eps (pow.f64 (/.f64 eps 1.0) 2))) 2)
0.7b	(cbrt.f64 (+.f64 eps (pow.f64 (/.f64 eps 1.0) 2)))
0.7b	(cbrt.f64 (+.f64 eps (pow.f64 (/.f64 eps 1.0) 2)))
2.8b	(exp.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 eps (pow.f64 (/.f64 eps 1.0) 2))) 2)) (log.f64 (cbrt.f64 (+.f64 eps (pow.f64 (/.f64 eps 1.0) 2))))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64`
12×	`cbrt-prod_binary64`
10×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
8×	`pow1_binary64` `log-pow_binary64` `exp-prod_binary64`
7×	`unpow-prod-down_binary64`
6×	`cbrt-div_binary64`
5×	`add-log-exp_binary64` `distribute-lft-out_binary64` `add-exp-log_binary64`
4×	`distribute-rgt-out_binary64` `add-cbrt-cube_binary64`
3×	`flip3-+_binary64` `pow-unpow_binary64` `pow1/3_binary64` `flip-+_binary64`
2×	`associate-+r-_binary64` `pow-pow_binary64` `rem-exp-log_binary64` `exp-diff_binary64` `log-div_binary64` `exp-to-pow_binary64`
1×	`pow-to-exp_binary64` `distribute-lft1-in_binary64` `unpow2_binary64` `sqr-pow_binary64` `exp-sum_binary64` `pow-exp_binary64` `sum-log_binary64`

Counts

4 → 73

Calls

4 calls:

11.0ms	(pow.f64 (cbrt.f64 (+.f64 eps (pow.f64 (/.f64 eps 1.0) 2))) 2)
9.0ms	(cbrt.f64 (+.f64 eps (pow.f64 (/.f64 eps 1.0) 2)))
9.0ms	(cbrt.f64 (+.f64 eps (pow.f64 (/.f64 eps 1.0) 2)))
8.0ms	(exp.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 eps (pow.f64 (/.f64 eps 1.0) 2))) 2)) (log.f64 (cbrt.f64 (+.f64 eps (pow.f64 (/.f64 eps 1.0) 2))))))

series92.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(pow.f64 (cbrt.f64 (+.f64 eps (pow.f64 (/.f64 eps 1.0) 2))) 2)
11.0ms	(cbrt.f64 (+.f64 eps (pow.f64 (/.f64 eps 1.0) 2)))
13.0ms	(cbrt.f64 (+.f64 eps (pow.f64 (/.f64 eps 1.0) 2)))
48.0ms	(exp.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 eps (pow.f64 (/.f64 eps 1.0) 2))) 2)) (log.f64 (cbrt.f64 (+.f64 eps (pow.f64 (/.f64 eps 1.0) 2))))))

simplify46.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4932	1292
1	4932	1292

prune132.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	84	6	90

Merged error: 0.1b

Counts

90 → 6

regimes105.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	49	18
1	49	18

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.5s	3379×	body	1280	valid
610.0ms	2509×	body	640	valid
182.0ms	1279×	body	320	valid
55.0ms	635×	body	160	valid
8.0ms	198×	body	80	valid

Details

analyze4.0ms

sample82.0ms

simplify174.0ms

prune6.0ms

localize6.0ms

rewrite21.0ms

series10.0ms

simplify63.0ms

prune96.0ms

localize9.0ms

rewrite6.0ms

series12.0ms

simplify61.0ms

prune27.0ms

localize13.0ms

rewrite33.0ms

series30.0ms

simplify43.0ms

prune61.0ms

localize20.0ms

rewrite40.0ms

series92.0ms

simplify46.0ms

prune132.0ms

regimes105.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.5s

Profiling