Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
62.5%	12.5%	25%	4
68.7%	6.2%	25%	5
71.8%	3.1%	25%	6
73.4%	1.6%	25%	7
74.2%	0.8%	25%	8
74.6%	0.4%	25%	9
74.8%	0.2%	25%	10
74.9%	0.1%	25%	11
74.9%	0%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

sample50.0ms

Algorithm

intervals

Results

26.0ms	58×	body	1280	valid
12.0ms	52×	body	640	valid
4.0ms	33×	body	320	valid
3.0ms	105×	body	80	valid
1.0ms	8×	body	160	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	8	6
1	8	6

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: 35.9b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

2.2b	(log.f64 (+.f64 1 x))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64_590` `log-prod_binary64_504`
2×	`add-cube-cbrt_binary64_561` `add-exp-log_binary64_554` `pow1_binary64_532` `add-sqr-sqrt_binary64_575` `log-div_binary64_505`
1×	`log-pow_binary64_507` `add-cbrt-cube_binary64_562` `flip-+_binary64_615` `distribute-lft-out_binary64_634` `add-log-exp_binary64_555` `rem-log-exp_binary64_553` `flip3-+_binary64_588`

Counts

1 → 15

Calls

1 calls:

3.0ms

(log.f64 (+.f64 1 x))

series12.0ms

Counts

1 → 3

Calls

1 calls:

12.0ms

(log.f64 (+.f64 1 x))

simplify89.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	5781	210

prune21.0ms

Filtered

13 candidates to 18 candidates (-38.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	15	3	18
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	16	3	19

Merged error: 0.0b

Counts

19 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
0.1b	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
0.3b	(*.f64 x 1/3)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_575`
9×	`add-cbrt-cube_binary64_562` `add-cube-cbrt_binary64_561` `add-exp-log_binary64_554` `-un-lft-identity_binary64_590` `pow1_binary64_532` `associate-l_binary64_650` `associate-r*_binary64_649`
4×	`associate-*r/_binary64_651`
3×	`cbrt-unprod_binary64_559` `pow-prod-down_binary64_513` `unswap-sqr_binary64_618` `prod-exp_binary64_537` `*-commutative_binary64_658` `add-log-exp_binary64_555`
2×	`flip-+_binary64_615` `distribute-rgt-in_binary64_633` `distribute-lft-in_binary64_632` `flip3-+_binary64_588`

Counts

3 → 62

Calls

3 calls:

5.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
6.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
4.0ms	(*.f64 x 1/3)

series61.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
34.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
11.0ms	(*.f64 x 1/3)

simplify82.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5094	905

prune53.0ms

Filtered

50 candidates to 71 candidates (-42.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	71	3	74

Merged error: 0.0b

Counts

74 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
0.1b	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
0.3b	(*.f64 x 1/3)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-cbrt-cube_binary64_562` `add-exp-log_binary64_554` `pow1_binary64_532` `add-sqr-sqrt_binary64_575`
9×	`associate-l_binary64_650`
8×	`add-cube-cbrt_binary64_561` `*-un-lft-identity_binary64_590`
7×	`associate-r_binary64_649`
6×	`associate-*r/_binary64_651`
5×	`cbrt-unprod_binary64_559` `pow-prod-down_binary64_513` `prod-exp_binary64_537` `distribute-rgt-in_binary64_633` `distribute-lft-in_binary64_632`
3×	`*-commutative_binary64_658` `add-log-exp_binary64_555`
2×	`flip-+_binary64_615` `unswap-sqr_binary64_618` `flip3-+_binary64_588`

Counts

3 → 64

Calls

3 calls:

9.0ms	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
7.0ms	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
4.0ms	(*.f64 x 1/3)

series100.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
40.0ms	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
13.0ms	(*.f64 x 1/3)

simplify93.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4935	822
1	4935	822

prune37.0ms

Filtered

43 candidates to 73 candidates (-69.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	73	3	76

Merged error: 0.0b

Counts

76 → 3

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1 x))
0.0b	(sqrt.f64 (+.f64 1 x))
2.2b	(log.f64 (sqrt.f64 (+.f64 1 x)))
2.2b	(log.f64 (sqrt.f64 (+.f64 1 x)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64_590`
16×	`sqrt-prod_binary64_569`
14×	`log-prod_binary64_504`
12×	`add-sqr-sqrt_binary64_575`
10×	`add-cube-cbrt_binary64_561` `pow1_binary64_532`
8×	`sqrt-div_binary64_570`
6×	`log-pow_binary64_507` `add-exp-log_binary64_554`
4×	`add-cbrt-cube_binary64_562` `flip-+_binary64_615` `distribute-lft-out_binary64_634` `add-log-exp_binary64_555` `pow1/2_binary64_522` `sqrt-pow1_binary64_571` `flip3-+_binary64_588` `log-div_binary64_505`
2×	`rem-sqrt-square_binary64_578` `rem-log-exp_binary64_553`

Counts

4 → 72

Calls

4 calls:

3.0ms	(sqrt.f64 (+.f64 1 x))
5.0ms	(sqrt.f64 (+.f64 1 x))
4.0ms	(log.f64 (sqrt.f64 (+.f64 1 x)))
4.0ms	(log.f64 (sqrt.f64 (+.f64 1 x)))

series70.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt.f64 (+.f64 1 x))
13.0ms	(sqrt.f64 (+.f64 1 x))
21.0ms	(log.f64 (sqrt.f64 (+.f64 1 x)))
23.0ms	(log.f64 (sqrt.f64 (+.f64 1 x)))

simplify51.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4968	1256
1	4968	1256

prune69.0ms

Filtered

64 candidates to 84 candidates (-31.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	84	3	87

Merged error: 0.0b

Counts

87 → 3

regimes25.0ms

Accuracy

97.8% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 21.5b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	44
1	31	44

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.0s	2270×	body	1280	valid
362.0ms	1583×	body	640	valid
105.0ms	858×	body	320	valid
80.0ms	2847×	body	80	valid
31.0ms	442×	body	160	valid

Details

analyze3.0ms

sample50.0ms

simplify12.0ms

prune1.0ms

localize4.0ms

rewrite4.0ms

series12.0ms

simplify89.0ms

prune21.0ms

localize7.0ms

rewrite17.0ms

series61.0ms

simplify82.0ms

prune53.0ms

localize7.0ms

rewrite21.0ms

series100.0ms

simplify93.0ms

prune37.0ms

localize6.0ms

rewrite18.0ms

series70.0ms

simplify51.0ms

prune69.0ms

regimes25.0ms

bsearch1.0ms

simplify3.0ms

end0.0ms

sample1.8s

Profiling