Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
62.5%	25%	12.5%	4
68.7%	12.5%	18.8%	5
71.8%	6.2%	21.9%	6
73.4%	3.1%	23.5%	7
74.2%	1.6%	24.3%	8
74.6%	0.8%	24.6%	9
75%	0.4%	24.6%	10
75.1%	0.2%	24.7%	11
75.1%	0.1%	24.8%	12
75.1%	0%	24.8%	13
75.2%	0%	24.8%	14

sample30.0ms

Algorithm

intervals

Results

14.0ms	78×	body	1280	valid
6.0ms	51×	body	640	valid
2.0ms	94×	body	80	valid
2.0ms	24×	body	320	valid
0.0ms	9×	body	160	valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	167	6
1	167	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: 39.5b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 (exp.f64 x) 1) x)
4.0b	(-.f64 (exp.f64 x) 1)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt_binary64`
29×	`*-un-lft-identity_binary64`
21×	`times-frac_binary64`
14×	`add-cube-cbrt_binary64`
10×	`difference-of-squares_binary64`
7×	`associate-/l*_binary64`
5×	`difference-of-sqr-1_binary64` `distribute-lft-out--_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-/r*_binary64`
2×	`associate-/l/_binary64` `pow1_binary64` `flip3--_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

2 → 61

Calls

2 calls:

8.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
5.0ms	(-.f64 (exp.f64 x) 1)

series7.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
3.0ms	(-.f64 (exp.f64 x) 1)

simplify61.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4966	644
1	4966	644

prune44.0ms

Filtered

43 candidates to 67 candidates (-55.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	64	3	67
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	3	68

Merged error: 0.0b

Counts

68 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1/2 (*.f64 x 1/6))
0.0b	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
0.4b	(*.f64 x 1/6)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

3.0ms	(+.f64 1/2 (*.f64 x 1/6))
6.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
4.0ms	(*.f64 x 1/6)

series12.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(+.f64 1/2 (*.f64 x 1/6))
6.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
2.0ms	(*.f64 x 1/6)

simplify65.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4818	397
1	4818	397

prune31.0ms

Filtered

41 candidates to 60 candidates (-46.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	60	3	63

Merged error: 0.0b

Counts

63 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (exp.f64 x) x)
3.7b	(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64`
26×	`*-un-lft-identity_binary64`
23×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
6×	`difference-of-squares_binary64` `div-inv_binary64`
5×	`distribute-lft-out--_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`associate-/r_binary64` `distribute-rgt-out--_binary64` `add-exp-log_binary64` `associate-/l_binary64`
2×	`pow1_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `sub-div_binary64` `flip--_binary64` `frac-sub_binary64`

Counts

2 → 54

Calls

2 calls:

4.0ms	(/.f64 (exp.f64 x) x)
14.0ms	(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))

series8.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(/.f64 (exp.f64 x) x)
4.0ms	(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))

simplify43.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5210	539

prune23.0ms

Filtered

43 candidates to 60 candidates (-39.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	60	3	63

Merged error: 0.0b

Counts

63 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (/.f64 (-.f64 (exp.f64 x) 1) x))
4.0b	(-.f64 (exp.f64 x) 1)
4.0b	(-.f64 (exp.f64 x) 1)
4.0b	(-.f64 (exp.f64 x) 1)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt_binary64`
33×	`*-un-lft-identity_binary64`
25×	`cbrt-prod_binary64`
21×	`times-frac_binary64`
15×	`add-cube-cbrt_binary64`
12×	`difference-of-squares_binary64`
10×	`add-log-exp_binary64`
6×	`difference-of-sqr-1_binary64` `distribute-lft-out--_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64`
1×	`cbrt-div_binary64` `pow1/3_binary64` `div-inv_binary64`

Counts

4 → 79

Calls

4 calls:

6.0ms	(cbrt.f64 (/.f64 (-.f64 (exp.f64 x) 1) x))
5.0ms	(-.f64 (exp.f64 x) 1)
5.0ms	(-.f64 (exp.f64 x) 1)
5.0ms	(-.f64 (exp.f64 x) 1)

series27.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt.f64 (/.f64 (-.f64 (exp.f64 x) 1) x))
2.0ms	(-.f64 (exp.f64 x) 1)
2.0ms	(-.f64 (exp.f64 x) 1)
2.0ms	(-.f64 (exp.f64 x) 1)

simplify51.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5015	843

prune49.0ms

Filtered

59 candidates to 91 candidates (-54.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	91	3	94

Merged error: 0.0b

Counts

94 → 3

regimes21.0ms

Accuracy

99% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.4b

bsearch9.0ms

Steps

Iters	Range		Point
8	-0.00020060151837507847	-1.0839318625692191e-07	-0.00016705070932142277

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	21
1	40	21

end0.0ms

sample880.0ms

Algorithm

intervals

Results

430.0ms	2291×	body	1280	valid
196.0ms	1611×	body	640	valid
66.0ms	841×	body	320	valid
65.0ms	2845×	body	80	valid
21.0ms	412×	body	160	valid

Details

analyze3.0ms

sample30.0ms

simplify13.0ms

prune1.0ms

localize4.0ms

rewrite18.0ms

series7.0ms

simplify61.0ms

prune44.0ms

localize6.0ms

rewrite15.0ms

series12.0ms

simplify65.0ms

prune31.0ms

localize5.0ms

rewrite20.0ms

series8.0ms

simplify43.0ms

prune23.0ms

localize8.0ms

rewrite22.0ms

series27.0ms

simplify51.0ms

prune49.0ms

regimes21.0ms

bsearch9.0ms

simplify2.0ms

end0.0ms

sample880.0ms

Profiling