Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	74.6%	25.4%	0
0%	74.6%	25.4%	1
37.3%	37.3%	25.4%	2
37.3%	18.7%	44%	3
46.7%	9.3%	44%	4
46.7%	4.7%	48.7%	5
49%	2.3%	48.7%	6
49%	1.2%	49.8%	7
49.6%	0.6%	49.8%	8
49.9%	0.3%	49.8%	9
49.9%	0.1%	50%	10
49.9%	0.1%	50.1%	11
49.9%	0%	50.1%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

sample37.0ms

Algorithm

intervals

Results

18.0ms	117×	body	1280	valid
8.0ms	74×	body	640	valid
3.0ms	256×	pre	80	true
3.0ms	41×	body	320	valid
1.0ms	18×	body	160	valid
0.0ms	6×	body	80	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	10	6
1	10	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: 58.7b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

6.4b	(-.f64 (exp.f64 x) 1)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64`
3×	`add-log-exp_binary64`
2×	`difference-of-squares_binary64`
1×	`sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `difference-of-sqr-1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

1 → 15

Calls

1 calls:

4.0ms

(-.f64 (exp.f64 x) 1)

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(-.f64 (exp.f64 x) 1)

simplify95.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4960	196
1	4960	196

prune22.0ms

Filtered

12 candidates to 18 candidates (-50.0%)

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 4 expressions with local error:

0.0b	(+.f64 1/2 (*.f64 x 1/6))
0.0b	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
0.0b	(.f64 x (+.f64 1 (.f64 x (+.f64 1/2 (*.f64 x 1/6)))))
0.3b	(*.f64 x 1/6)

rewrite19.0ms

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` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `*-commutative_binary64`
2×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
1×	`+-commutative_binary64` `sum-log_binary64`

Counts

4 → 73

Calls

4 calls:

3.0ms	(+.f64 1/2 (*.f64 x 1/6))
5.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
5.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 1/2 (*.f64 x 1/6)))))
4.0ms	(*.f64 x 1/6)

series90.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+.f64 1/2 (*.f64 x 1/6))
37.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
15.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 1/2 (*.f64 x 1/6)))))
11.0ms	(*.f64 x 1/6)

simplify79.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5283	1051

prune60.0ms

Filtered

59 candidates to 85 candidates (-44.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	85	3	88

Merged error: 0.0b

Counts

88 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (*.f64 x 1/6) 1/2)
0.0b	(.f64 x (+.f64 (.f64 x 1/6) 1/2))
0.0b	(.f64 x (.f64 x (+.f64 (*.f64 x 1/6) 1/2)))
0.3b	(*.f64 x 1/6)

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` `associate-l*_binary64`
7×	`associate-r_binary64`
6×	`add-log-exp_binary64` `associate-*r/_binary64`
5×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `prod-exp_binary64`
3×	`flip3-+_binary64` `flip-+_binary64` `*-commutative_binary64`
2×	`unswap-sqr_binary64`
1×	`+-commutative_binary64` `sum-log_binary64`

Counts

4 → 75

Calls

4 calls:

4.0ms	(+.f64 (*.f64 x 1/6) 1/2)
7.0ms	(.f64 x (+.f64 (.f64 x 1/6) 1/2))
9.0ms	(.f64 x (.f64 x (+.f64 (*.f64 x 1/6) 1/2)))
4.0ms	(*.f64 x 1/6)

series114.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+.f64 (*.f64 x 1/6) 1/2)
38.0ms	(.f64 x (+.f64 (.f64 x 1/6) 1/2))
45.0ms	(.f64 x (.f64 x (+.f64 (*.f64 x 1/6) 1/2)))
11.0ms	(*.f64 x 1/6)

simplify91.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4954	968
1	4954	968

prune47.0ms

Filtered

53 candidates to 87 candidates (-64.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	87	3	90

Merged error: 0.0b

Counts

90 → 3

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(log.f64 (-.f64 (exp.f64 x) 1))
0.2b	(exp.f64 (log.f64 (-.f64 (exp.f64 x) 1)))
6.4b	(-.f64 (exp.f64 x) 1)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
14×	`log-prod_binary64`
7×	`exp-sum_binary64`
6×	`add-cube-cbrt_binary64` `difference-of-squares_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
4×	`add-exp-log_binary64` `log-div_binary64` `exp-prod_binary64`
3×	`flip3--_binary64` `difference-of-sqr-1_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
2×	`log-pow_binary64` `exp-diff_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64`

Counts

3 → 54

Calls

3 calls:

4.0ms	(log.f64 (-.f64 (exp.f64 x) 1))
5.0ms	(exp.f64 (log.f64 (-.f64 (exp.f64 x) 1)))
5.0ms	(-.f64 (exp.f64 x) 1)

series76.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(log.f64 (-.f64 (exp.f64 x) 1))
9.0ms	(exp.f64 (log.f64 (-.f64 (exp.f64 x) 1)))
9.0ms	(-.f64 (exp.f64 x) 1)

simplify82.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5088	741

prune27.0ms

Filtered

39 candidates to 63 candidates (-61.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	62	4	66

Merged error: 0.0b

Counts

66 → 4

regimes36.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	16
1	14	16

end0.0ms

sample1.1s

Algorithm

intervals

Results

542.0ms	3422×	body	1280	valid
248.0ms	2527×	body	640	valid
83.0ms	8002×	pre	80	true
79.0ms	1256×	body	320	valid
23.0ms	596×	body	160	valid
4.0ms	199×	body	80	valid
0.0ms	2×	body	80	invalid

Details

analyze3.0ms

sample37.0ms

simplify12.0ms

prune1.0ms

localize3.0ms

rewrite5.0ms

series9.0ms

simplify95.0ms

prune22.0ms

localize7.0ms

rewrite19.0ms

series90.0ms

simplify79.0ms

prune60.0ms

localize7.0ms

rewrite25.0ms

series114.0ms

simplify91.0ms

prune47.0ms

localize5.0ms

rewrite16.0ms

series76.0ms

simplify82.0ms

prune27.0ms

regimes36.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.1s

Profiling