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
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

sample61.0ms

Algorithm

intervals

Results

32.0ms	73×	body	1280	valid
13.0ms	55×	body	640	valid
7.0ms	27×	body	320	valid
2.0ms	84×	body	80	valid
1.0ms	17×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	4
1	6	4

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: 40.5b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

5.2b	(log.f64 (+.f64 1 x))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64` `log-prod_binary64`
2×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-sqr-sqrt_binary64` `log-div_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `distribute-lft-out_binary64` `rem-log-exp_binary64` `log-pow_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`

Counts

1 → 15

Calls

1 calls:

3.0ms

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

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

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

simplify42.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4968	137
1	4968	137

prune17.0ms

Filtered

13 candidates to 18 candidates (-38.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	16	2	18
Fresh	0	0	0
Picked	0	1	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 -1/2 (.f64 x 1/3)))
0.0b	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
0.4b	(*.f64 x 1/3)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
9×	`-un-lft-identity_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l*_binary64`
4×	`associate-*r/_binary64`
3×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`
2×	`flip3-+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64`

Counts

3 → 62

Calls

3 calls:

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

series15.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
7.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
2.0ms	(*.f64 x 1/3)

simplify54.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5469	611

prune42.0ms

Filtered

50 candidates to 71 candidates (-42.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	70	4	74

Merged error: 0.0b

Counts

74 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
0.0b	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
0.4b	(*.f64 x 1/3)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
9×	`associate-l_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`associate-r_binary64`
6×	`associate-*r/_binary64`
5×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `prod-exp_binary64`
3×	`add-log-exp_binary64` `*-commutative_binary64`
2×	`flip3-+_binary64` `unswap-sqr_binary64` `flip-+_binary64`

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)

series16.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
6.0ms	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
2.0ms	(*.f64 x 1/3)

simplify42.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5517	559

prune32.0ms

Filtered

43 candidates to 73 candidates (-69.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	73	4	77

Merged error: 0.0b

Counts

77 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(*.f64 x 1/3)
9.4b	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x 1/3) -1/2))))
9.4b	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x 1/3) -1/2))))
9.4b	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 -1/2 (.f64 x 1/3)))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `cbrt-prod_binary64`
6×	`cbrt-div_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64`
3×	`flip3-+_binary64` `associate-r_binary64` `pow1/3_binary64` `associate-l_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 57

Calls

4 calls:

4.0ms	(*.f64 x 1/3)
3.0ms	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x 1/3) -1/2))))
3.0ms	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x 1/3) -1/2))))
3.0ms	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 -1/2 (.f64 x 1/3)))))

series28.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(*.f64 x 1/3)
7.0ms	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x 1/3) -1/2))))
7.0ms	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x 1/3) -1/2))))
8.0ms	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 -1/2 (.f64 x 1/3)))))

simplify32.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5196	894

prune88.0ms

Filtered

60 candidates to 69 candidates (-15.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	69	4	73

Merged error: 0.0b

Counts

73 → 4

regimes88.0ms

Accuracy

99.4% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 21.3b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	21
1	21	21

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.0s	2209×	body	1280	valid
375.0ms	1667×	body	640	valid
104.0ms	871×	body	320	valid
75.0ms	2816×	body	80	valid
30.0ms	437×	body	160	valid

Details

analyze2.0ms

sample61.0ms

simplify5.0ms

prune1.0ms

localize3.0ms

rewrite4.0ms

series4.0ms

simplify42.0ms

prune17.0ms

localize7.0ms

rewrite17.0ms

series15.0ms

simplify54.0ms

prune42.0ms

localize6.0ms

rewrite22.0ms

series16.0ms

simplify42.0ms

prune32.0ms

localize15.0ms

rewrite14.0ms

series28.0ms

simplify32.0ms

prune88.0ms

regimes88.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample1.7s

Profiling