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

sample60.0ms

Algorithm

intervals

Results

36.0ms	74×	body	1280	valid
13.0ms	59×	body	640	valid
3.0ms	21×	body	320	valid
2.0ms	88×	body	80	valid
1.0ms	14×	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: 39.3b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

3.8b	(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))

series11.0ms

Counts

1 → 3

Calls

1 calls:

11.0ms

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

simplify93.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5781	210

prune16.0ms

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: 0.2b

Counts

19 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

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

series75.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+.f64 1 (.f64 x (+.f64 -1/2 (.f64 x 1/3))))
36.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
16.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
11.0ms	(*.f64 x 1/3)

simplify87.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4984	1178
1	4984	1178

prune61.0ms

Filtered

62 candidates to 87 candidates (-40.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

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

Merged error: 0.1b

Counts

90 → 3

localize6.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

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

series113.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+.f64 x (.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2))))
34.0ms	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
54.0ms	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
11.0ms	(*.f64 x 1/3)

simplify139.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (119.0ms)

Iter	Nodes	Cost
0	4934	1175
1	4934	1175

prune50.0ms

Filtered

57 candidates to 91 candidates (-59.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	91	3	94

Merged error: 0.1b

Counts

94 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
2.2b	(log.f64 (-.f64 1 (*.f64 x x)))
3.8b	(log.f64 (-.f64 1 x))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

22×	`log-prod_binary64`
19×	`*-un-lft-identity_binary64`
17×	`add-sqr-sqrt_binary64`
9×	`pow1_binary64` `difference-of-squares_binary64`
8×	`log-div_binary64`
7×	`add-cube-cbrt_binary64`
6×	`associate--r+_binary64` `log-pow_binary64` `distribute-lft-out--_binary64`
5×	`flip3--_binary64` `add-exp-log_binary64` `flip--_binary64` `associate--l+_binary64`
3×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
2×	`associate--l-_binary64` `associate--r-_binary64` `rem-log-exp_binary64`
1×	`sub-neg_binary64` `diff-log_binary64`

Counts

3 → 64

Calls

3 calls:

9.0ms	(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
3.0ms	(log.f64 (-.f64 1 (*.f64 x x)))
4.0ms	(log.f64 (-.f64 1 x))

series71.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
35.0ms	(log.f64 (-.f64 1 (*.f64 x x)))
12.0ms	(log.f64 (-.f64 1 x))

simplify101.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4875	1231
1	4875	1231

prune56.0ms

Filtered

57 candidates to 73 candidates (-28.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	70	3	73
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	71	5	76

Merged error: 0.1b

Counts

76 → 5

regimes42.0ms

Accuracy

99.3% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 21.2b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	31
1	24	31

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.1s	2290×	body	1280	valid
396.0ms	1718×	body	640	valid
95.0ms	793×	body	320	valid
74.0ms	2810×	body	80	valid
27.0ms	389×	body	160	valid

Details

analyze3.0ms

sample60.0ms

simplify12.0ms

prune1.0ms

localize3.0ms

rewrite4.0ms

series11.0ms

simplify93.0ms

prune16.0ms

localize7.0ms

rewrite20.0ms

series75.0ms

simplify87.0ms

prune61.0ms

localize6.0ms

rewrite25.0ms

series113.0ms

simplify139.0ms

prune50.0ms

localize7.0ms

rewrite18.0ms

series71.0ms

simplify101.0ms

prune56.0ms

regimes42.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.8s

Profiling