Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	50%	50%	2
25%	25%	50%	3
25%	12.5%	62.5%	4
25%	6.2%	68.8%	5
25%	3.1%	71.9%	6
25%	1.6%	73.5%	7
25%	0.8%	74.2%	8
25%	0.4%	74.6%	9
25%	0.2%	74.8%	10
25%	0.1%	74.9%	11
25%	0%	75%	12
25%	0%	75%	13
25%	0%	75%	14

sample203.0ms

Algorithm

intervals

Results

198.0ms

256×

body

valid

simplify133.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (131.0ms)

Iter	Nodes	Cost
0	4996	6
1	4996	6

prune2.0ms

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: 0.2b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(log.f64 (log.f64 x))
0.2b	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

11×	`log-prod_binary64`
9×	`*-un-lft-identity_binary64` `pow1_binary64`
7×	`log-pow_binary64` `add-sqr-sqrt_binary64`
5×	`add-cube-cbrt_binary64`
4×	`associate--r+_binary64` `distribute-lft-out--_binary64`
3×	`add-exp-log_binary64` `associate--l+_binary64`
2×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `rem-log-exp_binary64` `difference-of-squares_binary64` `flip--_binary64`

Counts

2 → 36

Calls

2 calls:

1.0ms	(log.f64 (log.f64 x))
6.0ms	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

series48.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(log.f64 (log.f64 x))
27.0ms	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

simplify61.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4869	276
1	4869	276

prune33.0ms

Filtered

25 candidates to 42 candidates (-68.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	3	43

Merged error: 0b

Counts

43 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(log.f64 (/.f64 x (log.f64 x)))
0.3b	(/.f64 x (log.f64 x))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

24×	`times-frac_binary64`
19×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
16×	`log-prod_binary64`
10×	`pow1_binary64`
8×	`log-pow_binary64`
7×	`add-exp-log_binary64`
4×	`associate-/r*_binary64` `add-cbrt-cube_binary64`
3×	`associate-/l*_binary64`
2×	`add-log-exp_binary64` `rem-log-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `log-div_binary64`

Counts

2 → 58

Calls

2 calls:

3.0ms	(log.f64 (/.f64 x (log.f64 x)))
3.0ms	(/.f64 x (log.f64 x))

series48.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(log.f64 (/.f64 x (log.f64 x)))
17.0ms	(/.f64 x (log.f64 x))

simplify60.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5093	491

prune43.0ms

Filtered

41 candidates to 64 candidates (-56.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	65	2	67

Merged error: 0b

Counts

67 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(log.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (log.f64 x))))
0.3b	(/.f64 (sqrt.f64 x) (log.f64 x))
0.4b	(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (log.f64 x)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt_binary64`
52×	`times-frac_binary64`
37×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
35×	`sqrt-prod_binary64`
28×	`associate-r_binary64`
21×	`pow1_binary64`
16×	`add-exp-log_binary64`
15×	`log-pow_binary64`
10×	`add-cbrt-cube_binary64`
6×	`associate-l_binary64` `unswap-sqr_binary64` `associate-/l*_binary64`
4×	`associate-/r*_binary64` `prod-exp_binary64`
3×	`add-log-exp_binary64` `rem-log-exp_binary64` `div-exp_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `div-inv_binary64`
1×	`log-prod_binary64` `clear-num_binary64` `frac-2neg_binary64` `log-div_binary64` `*-commutative_binary64`

Counts

3 → 114

Calls

3 calls:

6.0ms	(log.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (log.f64 x))))
5.0ms	(/.f64 (sqrt.f64 x) (log.f64 x))
13.0ms	(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (log.f64 x)))

series45.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(log.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (log.f64 x))))
9.0ms	(/.f64 (sqrt.f64 x) (log.f64 x))
14.0ms	(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (log.f64 x)))

simplify31.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5129	1062

prune66.0ms

Filtered

72 candidates to 123 candidates (-70.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	123	2	125

Merged error: 0b

Counts

125 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (log.f64 x))
0.1b	(log.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))))
0.2b	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
1.1b	(exp.f64 (log.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x)))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

27×	`log-prod_binary64`
22×	`*-un-lft-identity_binary64`
21×	`pow1_binary64`
17×	`log-pow_binary64`
16×	`add-sqr-sqrt_binary64`
12×	`distribute-lft-out--_binary64`
10×	`add-cube-cbrt_binary64`
8×	`exp-sum_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `associate--r+_binary64` `add-cbrt-cube_binary64` `log-div_binary64` `exp-prod_binary64`
3×	`flip3--_binary64` `difference-of-squares_binary64` `flip--_binary64` `associate--l+_binary64`
2×	`rem-log-exp_binary64` `exp-diff_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `rem-exp-log_binary64`

Counts

4 → 77

Calls

4 calls:

2.0ms	(log.f64 (log.f64 x))
4.0ms	(log.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))))
6.0ms	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
6.0ms	(exp.f64 (log.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x)))))

series118.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(log.f64 (log.f64 x))
41.0ms	(log.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x))))
27.0ms	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
30.0ms	(exp.f64 (log.f64 (-.f64 (log.f64 x) (log.f64 (log.f64 x)))))

simplify58.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4873	726
1	4873	726

prune45.0ms

Filtered

51 candidates to 89 candidates (-74.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	89	2	91

Merged error: 0b

Counts

91 → 2

regimes70.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

end0.0ms

sample351.0ms

Algorithm

intervals

Results

264.0ms	8000×	body	80	valid
0.0ms	4×	body	80	nan

Details

analyze3.0ms

sample203.0ms

simplify133.0ms

prune2.0ms

localize5.0ms

rewrite8.0ms

series48.0ms

simplify61.0ms

prune33.0ms

localize6.0ms

rewrite8.0ms

series48.0ms

simplify60.0ms

prune43.0ms

localize8.0ms

rewrite28.0ms

series45.0ms

simplify31.0ms

prune66.0ms

localize9.0ms

rewrite20.0ms

series118.0ms

simplify58.0ms

prune45.0ms

regimes70.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample351.0ms

Profiling