Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

sample97.0ms

Algorithm

intervals

Results

50.0ms	99×	body	1280	valid
31.0ms	93×	body	640	valid
6.0ms	35×	body	320	valid
2.0ms	21×	body	160	valid
0.0ms	8×	body	80	valid

simplify190.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (187.0ms)

Iter	Nodes	Cost
0	4004	10
1	4004	10

prune4.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 58.1b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
6.2b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64`
52×	`add-sqr-sqrt_binary64`
48×	`times-frac_binary64`
30×	`log-prod_binary64`
25×	`add-cube-cbrt_binary64`
18×	`difference-of-squares_binary64`
13×	`distribute-lft-out_binary64`
9×	`distribute-lft-out--_binary64`
7×	`add-exp-log_binary64`
6×	`associate-/r*_binary64`
4×	`add-cbrt-cube_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `flip3--_binary64` `rem-log-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `cbrt-undiv_binary64` `log-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `log-div_binary64` `flip-+_binary64`

Counts

2 → 91

Calls

2 calls:

9.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
8.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

series9.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
6.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

simplify54.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5197	1239

prune77.0ms

Filtered

59 candidates to 97 candidates (-64.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	2	98

Merged error: 0.0b

Counts

98 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (pow.f64 x 3) 2/3) (+.f64 (.f64 2/5 (pow.f64 x 5)) (+.f64 x x)))
0.1b	(*.f64 2/5 (pow.f64 x 5))
0.1b	(*.f64 (pow.f64 x 3) 2/3)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64`
15×	`associate-l_binary64`
13×	`add-exp-log_binary64`
12×	`add-log-exp_binary64`
10×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
8×	`unpow-prod-down_binary64`
7×	`add-cbrt-cube_binary64` `unswap-sqr_binary64`
6×	`prod-exp_binary64` `sum-log_binary64`
4×	`sqr-pow_binary64` `cube-prod_binary64`
3×	`pow1_binary64`
2×	`pow-to-exp_binary64` `cbrt-unprod_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-+r+_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

3 → 70

Calls

3 calls:

13.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (+.f64 (.f64 2/5 (pow.f64 x 5)) (+.f64 x x)))
6.0ms	(*.f64 2/5 (pow.f64 x 5))
6.0ms	(*.f64 (pow.f64 x 3) 2/3)

series16.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (+.f64 (.f64 2/5 (pow.f64 x 5)) (+.f64 x x)))
5.0ms	(*.f64 2/5 (pow.f64 x 5))
4.0ms	(*.f64 (pow.f64 x 3) 2/3)

simplify38.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5184	727

prune60.0ms

Filtered

51 candidates to 79 candidates (-54.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	79	2	81

Merged error: 0.0b

Counts

81 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3)
0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
0.1b	(cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3))
6.2b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

86×	`*-un-lft-identity_binary64`
60×	`add-sqr-sqrt_binary64`
48×	`times-frac_binary64`
33×	`add-cube-cbrt_binary64`
30×	`log-prod_binary64`
18×	`difference-of-squares_binary64`
14×	`cbrt-prod_binary64`
13×	`distribute-lft-out_binary64`
10×	`pow1_binary64` `add-exp-log_binary64`
9×	`distribute-lft-out--_binary64`
8×	`unpow-prod-down_binary64` `cube-prod_binary64`
7×	`add-cbrt-cube_binary64`
6×	`associate-/r*_binary64`
5×	`log-pow_binary64`
4×	`add-log-exp_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
3×	`pow-unpow_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `rem-log-exp_binary64` `sqr-pow_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `rem-cbrt-cube_binary64` `cbrt-undiv_binary64` `pow1/3_binary64` `pow-pow_binary64` `clear-num_binary64` `rem-cube-cbrt_binary64` `frac-2neg_binary64` `log-div_binary64` `flip-+_binary64` `pow-exp_binary64`

Counts

4 → 139

Calls

4 calls:

5.0ms	(pow.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3)
10.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
3.0ms	(cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3))
11.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

series22.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(pow.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3)
3.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
5.0ms	(cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3))
7.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

simplify69.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4975	1913
1	4975	1913

prune76.0ms

Filtered

85 candidates to 151 candidates (-77.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	150	1	151
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	151	2	153

Merged error: 0.0b

Counts

153 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
0.3b	(pow.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (sqrt.f64 3))
0.3b	(pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (sqrt.f64 3)) (sqrt.f64 3))
6.2b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

87×	`*-un-lft-identity_binary64`
61×	`add-sqr-sqrt_binary64`
48×	`times-frac_binary64`
34×	`add-cube-cbrt_binary64`
30×	`log-prod_binary64`
18×	`difference-of-squares_binary64`
16×	`unpow-prod-down_binary64`
13×	`distribute-lft-out_binary64`
12×	`pow-unpow_binary64` `add-exp-log_binary64`
9×	`distribute-lft-out--_binary64`
8×	`pow1_binary64`
6×	`associate-/r*_binary64` `add-cbrt-cube_binary64` `sqrt-prod_binary64`
5×	`pow-exp_binary64`
4×	`add-log-exp_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
3×	`pow-to-exp_binary64` `log-pow_binary64` `sqr-pow_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `rem-log-exp_binary64` `pow-pow_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `log-div_binary64` `flip-+_binary64`

Counts

4 → 139

Calls

4 calls:

9.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
3.0ms	(pow.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (sqrt.f64 3))
5.0ms	(pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (sqrt.f64 3)) (sqrt.f64 3))
9.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

series54.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
18.0ms	(pow.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (sqrt.f64 3))
29.0ms	(pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (sqrt.f64 3)) (sqrt.f64 3))
5.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

simplify72.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4937	2306
1	4937	2306

prune115.0ms

Filtered

93 candidates to 151 candidates (-62.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	151	2	153

Merged error: 0.0b

Counts

153 → 2

regimes41.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	17
1	19	17

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.7s	3408×	body	1280	valid
712.0ms	2477×	body	640	valid
223.0ms	1258×	body	320	valid
70.0ms	649×	body	160	valid
10.0ms	208×	body	80	valid

Details

analyze4.0ms

sample97.0ms

simplify190.0ms

prune4.0ms

localize6.0ms

rewrite21.0ms

series9.0ms

simplify54.0ms

prune77.0ms

localize12.0ms

rewrite27.0ms

series16.0ms

simplify38.0ms

prune60.0ms

localize16.0ms

rewrite42.0ms

series22.0ms

simplify69.0ms

prune76.0ms

localize11.0ms

rewrite30.0ms

series54.0ms

simplify72.0ms

prune115.0ms

regimes41.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.8s

Profiling