Details

analyze1.0s

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
31.2%	68.6%	0.1%	6
32.8%	67.1%	0.1%	7
34.3%	65.5%	0.1%	8
38.2%	61.2%	0.5%	9
39.6%	53%	7.4%	10
40.3%	52.4%	7.4%	11
41.6%	49.6%	8.8%	12
42%	39.9%	18.1%	13
42.3%	39.6%	18.2%	14

sample38.0ms

Algorithm

intervals

Results

16.0ms	256×	body	128	valid
7.0ms	84×	body	128	invalid
2.0ms	50×	body	128	nan

simplify125.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	5018	19

prune4.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 2.9b

Counts

2 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 k (+.f64 k 10))
0.0b	(*.f64 a (pow.f64 k m))
2.9b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log_binary64`
17×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64` `add-cbrt-cube_binary64`
11×	`associate-r_binary64`
10×	`add-cube-cbrt_binary64`
7×	`prod-exp_binary64`
6×	`associate-l_binary64`
5×	`pow1_binary64`
4×	`unswap-sqr_binary64` `unpow-prod-down_binary64` `div-exp_binary64`
3×	`associate-/r*_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `times-frac_binary64`
2×	`pow-to-exp_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `sqr-pow_binary64` `associate-/r/_binary64` `flip-+_binary64` `pow-exp_binary64` `-commutative_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

3 → 73

Calls

3 calls:

6.0ms	(*.f64 k (+.f64 k 10))
6.0ms	(*.f64 a (pow.f64 k m))
7.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))

series404.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(*.f64 k (+.f64 k 10))
106.0ms	(*.f64 a (pow.f64 k m))
245.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))

simplify68.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4956	1226
1	4956	1226

prune73.0ms

Filtered

57 candidates to 82 candidates (-43.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	77	5	82
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	78	6	84

Merged error: 2.8b

Counts

84 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 k (+.f64 k 10))
0.0b	(/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) (pow.f64 k m))
2.9b	(/.f64 a (/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) (pow.f64 k m)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

180×	`times-frac_binary64`
105×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
103×	`add-cube-cbrt_binary64`
48×	`unpow-prod-down_binary64`
32×	`associate-/r*_binary64`
20×	`add-exp-log_binary64`
16×	`sqr-pow_binary64`
12×	`add-cbrt-cube_binary64`
10×	`div-exp_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
5×	`pow1_binary64`
4×	`associate-r_binary64` `cbrt-undiv_binary64`
3×	`add-log-exp_binary64` `associate-l_binary64`
2×	`pow-to-exp_binary64` `flip3-+_binary64` `associate-/l/_binary64` `associate-*r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64` `pow-exp_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `associate-/r/_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

3 → 190

Calls

3 calls:

6.0ms	(*.f64 k (+.f64 k 10))
7.0ms	(/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) (pow.f64 k m))
13.0ms	(/.f64 a (/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) (pow.f64 k m)))

series421.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(*.f64 k (+.f64 k 10))
124.0ms	(/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) (pow.f64 k m))
246.0ms	(/.f64 a (/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) (pow.f64 k m)))

simplify84.0ms

Algorithm

egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5141	6266

prune197.0ms

Filtered

152 candidates to 199 candidates (-30.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	198	1	199
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	199	6	205

Merged error: 2.8b

Counts

205 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (pow.f64 k m))
0.1b	(/.f64 (.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (pow.f64 k m)) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
15.6b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
15.6b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt_binary64`
38×	`add-exp-log_binary64`
30×	`times-frac_binary64`
25×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
24×	`associate-l_binary64` `sqrt-prod_binary64`
18×	`add-cbrt-cube_binary64`
13×	`div-exp_binary64`
12×	`prod-exp_binary64`
9×	`unswap-sqr_binary64`
8×	`sqrt-div_binary64`
7×	`associate-r_binary64`
6×	`associate-/r*_binary64` `pow1_binary64` `unpow-prod-down_binary64`
5×	`cbrt-undiv_binary64`
4×	`pow-to-exp_binary64` `flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `sqr-pow_binary64` `associate-/r/_binary64` `flip-+_binary64` `pow-exp_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `div-inv_binary64` `associate-*l/_binary64`
1×	`associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `-commutative_binary64`

Counts

4 → 123

Calls

4 calls:

13.0ms	(.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (pow.f64 k m))
14.0ms	(/.f64 (.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (pow.f64 k m)) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

series588.0ms

Counts

4 → 12

Calls

4 calls:

282.0ms	(.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (pow.f64 k m))
252.0ms	(/.f64 (.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (pow.f64 k m)) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
25.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
29.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

simplify57.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5119	3461

prune154.0ms

Filtered

98 candidates to 135 candidates (-37.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	135	6	141

Merged error: 2.8b

Counts

141 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (*.f64 10 k))
0.0b	(*.f64 a (pow.f64 k m))
0.0b	(+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))
2.9b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log_binary64`
14×	`add-sqr-sqrt_binary64`
11×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`associate-r_binary64`
6×	`prod-exp_binary64`
4×	`pow1_binary64` `unpow-prod-down_binary64` `div-exp_binary64` `sum-log_binary64`
3×	`flip3-+_binary64` `associate-/r_binary64` `associate-l*_binary64` `unswap-sqr_binary64` `times-frac_binary64` `flip-+_binary64`
2×	`pow-to-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `sqr-pow_binary64` `associate-/r/_binary64` `+-commutative_binary64` `pow-exp_binary64`
1×	`associate-+l+_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

4 → 74

Calls

4 calls:

3.0ms	(+.f64 1 (*.f64 10 k))
5.0ms	(*.f64 a (pow.f64 k m))
6.0ms	(+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))
9.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))

series424.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+.f64 1 (*.f64 10 k))
110.0ms	(*.f64 a (pow.f64 k m))
20.0ms	(+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))
251.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))

simplify70.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4975	1359
1	4975	1359

prune57.0ms

Filtered

61 candidates to 86 candidates (-41.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	86	6	92

Merged error: 2.8b

Counts

92 → 6

regimes64.0ms

Accuracy

0% (0.1b remaining)

Error of 2.0b against oracle of 1.8b and baseline of 2.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	35
1	18	35

end0.0ms

sample1.2s

Algorithm

intervals

Results

529.0ms	8000×	body	128	valid
265.0ms	3206×	body	128	invalid
87.0ms	1986×	body	128	nan

Details

analyze1.0s

sample38.0ms

simplify125.0ms

prune4.0ms

localize10.0ms

rewrite25.0ms

series404.0ms

simplify68.0ms

prune73.0ms

localize10.0ms

rewrite49.0ms

series421.0ms

simplify84.0ms

prune197.0ms

localize13.0ms

rewrite48.0ms

series588.0ms

simplify57.0ms

prune154.0ms

localize11.0ms

rewrite30.0ms

series424.0ms

simplify70.0ms

prune57.0ms

regimes64.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.2s

Profiling