Details

analyze341.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	62.5%	12.5%	4
25%	56.2%	18.8%	5
28.1%	50%	21.9%	6
29.7%	46.9%	23.5%	7
30.5%	45.3%	24.3%	8
30.8%	44.9%	24.3%	9
31.2%	44.5%	24.3%	10
31.3%	44.4%	24.3%	11
31.4%	44.3%	24.3%	12
31.4%	44.2%	24.3%	13
31.5%	44.2%	24.3%	14

sample30.0ms

Algorithm

intervals

Results

13.0ms	75×	body	1280	valid
6.0ms	50×	body	640	valid
2.0ms	89×	body	80	valid
2.0ms	26×	body	320	valid
1.0ms	16×	body	160	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	11	11
1	11	11

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: 42.2b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.5b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
4.5b	(-.f64 (exp.f64 x) 1)

rewrite14.0ms

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-/r*_binary64`
5×	`difference-of-sqr-1_binary64` `distribute-lft-out--_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`add-exp-log_binary64` `associate-/l*_binary64`
2×	`pow1_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

2 → 60

Calls

2 calls:

8.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
4.0ms	(-.f64 (exp.f64 x) 1)

series53.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
9.0ms	(-.f64 (exp.f64 x) 1)

simplify91.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4926	1126
1	4926	1126

prune56.0ms

Filtered

42 candidates to 66 candidates (-57.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	63	3	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	3	67

Merged error: 0.0b

Counts

67 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x 1/12) (/.f64 1 x))
0.4b	(*.f64 x 1/12)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 29

Calls

2 calls:

6.0ms	(+.f64 (*.f64 x 1/12) (/.f64 1 x))
4.0ms	(*.f64 x 1/12)

series41.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+.f64 (*.f64 x 1/12) (/.f64 1 x))
11.0ms	(*.f64 x 1/12)

simplify89.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4825	332
1	4825	332

prune21.0ms

Filtered

23 candidates to 35 candidates (-52.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	35	3	38

Merged error: 0.0b

Counts

38 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
4.8b	(-.f64 1 (exp.f64 (neg.f64 x)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
18×	`times-frac_binary64`
13×	`add-cube-cbrt_binary64`
10×	`difference-of-squares_binary64`
6×	`associate-/r*_binary64` `add-exp-log_binary64`
5×	`distribute-lft-out--_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`pow1_binary64` `associate-/l*_binary64`
2×	`flip3--_binary64` `associate-/r/_binary64` `div-exp_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `rec-exp_binary64` `div-inv_binary64` `pow-flip_binary64`

Counts

2 → 59

Calls

2 calls:

7.0ms	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
5.0ms	(-.f64 1 (exp.f64 (neg.f64 x)))

series49.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
12.0ms	(-.f64 1 (exp.f64 (neg.f64 x)))

simplify111.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4899	1034
1	4899	1034

prune30.0ms

Filtered

36 candidates to 65 candidates (-80.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Merged error: 0.0b

Counts

68 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 x) 1)
0.0b	(/.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.5b	(*.f64 (/.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) 1))
4.7b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt_binary64`
47×	`*-un-lft-identity_binary64`
38×	`times-frac_binary64`
26×	`add-cube-cbrt_binary64`
24×	`associate-l_binary64`
17×	`add-exp-log_binary64`
11×	`add-cbrt-cube_binary64`
8×	`add-log-exp_binary64` `sinh-undef_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
7×	`pow1_binary64`
6×	`associate-/r*_binary64`
4×	`associate-r_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
3×	`flip3-+_binary64` `flip3--_binary64` `unswap-sqr_binary64` `associate-/l*_binary64` `flip--_binary64` `flip-+_binary64`
2×	`cbrt-unprod_binary64` `distribute-lft-out_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `rec-exp_binary64` `div-inv_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `+-commutative_binary64` `pow-flip_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

4 → 124

Calls

4 calls:

6.0ms	(+.f64 (exp.f64 x) 1)
7.0ms	(/.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
16.0ms	(*.f64 (/.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) 1))
5.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series137.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+.f64 (exp.f64 x) 1)
48.0ms	(/.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
60.0ms	(*.f64 (/.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) 1))
24.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify100.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4876	2486
1	4876	2486

prune86.0ms

Filtered

90 candidates to 136 candidates (-51.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	136	3	139

Merged error: 0b

Counts

139 → 3

regimes13.0ms

Accuracy

97% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 21.4b

bsearch17.0ms

Steps

Iters	Range		Point
10	-8180890.588997952	-6.911731136279562e-05	-0.0016413502069231225

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	49
1	42	49

end0.0ms

sample863.0ms

Algorithm

intervals

Results

396.0ms	2218×	body	1280	valid
190.0ms	1652×	body	640	valid
69.0ms	2883×	body	80	valid
65.0ms	824×	body	320	valid
22.0ms	423×	body	160	valid
0.0ms	1×	body	1280	invalid

Details

analyze341.0ms

sample30.0ms

simplify12.0ms

prune1.0ms

localize4.0ms

rewrite14.0ms

series53.0ms

simplify91.0ms

prune56.0ms

localize6.0ms

rewrite11.0ms

series41.0ms

simplify89.0ms

prune21.0ms

localize5.0ms

rewrite14.0ms

series49.0ms

simplify111.0ms

prune30.0ms

localize8.0ms

rewrite40.0ms

series137.0ms

simplify100.0ms

prune86.0ms

regimes13.0ms

bsearch17.0ms

simplify4.0ms

end0.0ms

sample863.0ms

Profiling