Details

analyze79.0ms

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
62.4%	37.5%	0.1%	4
68.7%	31.2%	0.1%	5
68.7%	18.7%	12.6%	6
68.7%	18.7%	12.6%	7
68.7%	12.5%	18.8%	8
68.7%	12.5%	18.8%	9
68.7%	9.4%	22%	10
68.7%	9.4%	22%	11
68.7%	7.8%	23.5%	12
68.7%	7.8%	23.5%	13
68.7%	7%	24.3%	14

sample15.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	24×	body	80	overflowed

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

prune3.0ms

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: 1.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

1.0b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64`
12×	`times-frac_binary64`
10×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`associate-/r*_binary64` `distribute-lft-out_binary64`
3×	`add-cbrt-cube_binary64` `associate-/l*_binary64`
2×	`add-exp-log_binary64` `associate-/r/_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

1 → 33

Calls

1 calls:

7.0ms

(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

simplify43.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4940	434
1	4940	434

prune33.0ms

Filtered

25 candidates to 36 candidates (-44.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	33	3	36
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	3	37

Merged error: 0.7b

Counts

37 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

1.3b	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
2.7b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64`
8×	`log-prod_binary64`
6×	`add-sqr-sqrt_binary64`
4×	`pow1_binary64` `associate--r+_binary64` `add-cube-cbrt_binary64` `log-div_binary64`
3×	`add-log-exp_binary64` `add-exp-log_binary64`
2×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate--r-_binary64` `log-pow_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `rem-log-exp_binary64` `difference-of-squares_binary64` `flip--_binary64`

Counts

2 → 35

Calls

2 calls:

7.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
4.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

series19.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
11.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

simplify91.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4863	424
1	4863	424

prune38.0ms

Filtered

29 candidates to 41 candidates (-41.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	41	3	44

Merged error: 0.5b

Counts

44 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
0.3b	(*.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
1.0b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

134×	`*-un-lft-identity_binary64`
116×	`sqrt-prod_binary64`
103×	`times-frac_binary64`
101×	`add-sqr-sqrt_binary64`
70×	`add-cube-cbrt_binary64`
29×	`swap-sqr_binary64` `distribute-lft-out_binary64`
21×	`associate-r_binary64` `associate-l_binary64`
20×	`pow1_binary64`
14×	`associate-/r/_binary64`
10×	`add-cbrt-cube_binary64`
9×	`pow1/2_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64`
8×	`associate-/r*_binary64` `add-exp-log_binary64`
7×	`flip3-+_binary64` `div-inv_binary64` `flip-+_binary64`
6×	`associate-/l*_binary64`
5×	`pow-prod-up_binary64` `sqrt-div_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64`
2×	`cbrt-undiv_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64`
1×	`cbrt-unprod_binary64` `rem-square-sqrt_binary64` `associate-r/_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `frac-times_binary64` `pow2_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 204

Calls

4 calls:

7.0ms	(sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
23.0ms	(*.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
7.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
7.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

series51.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
14.0ms	(*.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
10.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
11.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

simplify65.0ms

Algorithm

egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4961	2910
1	4961	2910

prune153.0ms

Filtered

131 candidates to 216 candidates (-64.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	216	0	216
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	216	3	219

Merged error: 0.5b

Counts

219 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 1/2 (-.f64 a b)) (log.f64 2))
0.0b	(exp.f64 (-.f64 (*.f64 1/2 (-.f64 a b)) (log.f64 2)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

6×	`sub-neg_binary64`
5×	`add-log-exp_binary64`
4×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `associate--l+_binary64`
3×	`associate--r+_binary64` `log-prod_binary64` `exp-sum_binary64` `exp-prod_binary64`
2×	`pow1_binary64` `diff-log_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `rem-exp-log_binary64`
1×	`flip3--_binary64` `exp-diff_binary64` `flip--_binary64`

Counts

2 → 32

Calls

2 calls:

7.0ms	(-.f64 (*.f64 1/2 (-.f64 a b)) (log.f64 2))
8.0ms	(exp.f64 (-.f64 (*.f64 1/2 (-.f64 a b)) (log.f64 2)))

series15.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(-.f64 (*.f64 1/2 (-.f64 a b)) (log.f64 2))
9.0ms	(exp.f64 (-.f64 (*.f64 1/2 (-.f64 a b)) (log.f64 2)))

simplify40.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5170	345

prune34.0ms

Filtered

30 candidates to 38 candidates (-26.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	38	3	41

Merged error: 0.5b

Counts

41 → 3

regimes201.0ms

Accuracy

0% (0.6b remaining)

Error of 1.1b against oracle of 0.5b and baseline of 1.1b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	19
1	9	19

end0.0ms

sample396.0ms

Algorithm

intervals

Results

235.0ms	8000×	body	80	valid
17.0ms	680×	body	80	overflowed

Details

analyze79.0ms

sample15.0ms

simplify5.0ms

prune3.0ms

localize5.0ms

rewrite8.0ms

series15.0ms

simplify43.0ms

prune33.0ms

localize7.0ms

rewrite13.0ms

series19.0ms

simplify91.0ms

prune38.0ms

localize9.0ms

rewrite53.0ms

series51.0ms

simplify65.0ms

prune153.0ms

localize7.0ms

rewrite16.0ms

series15.0ms

simplify40.0ms

prune34.0ms

regimes201.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample396.0ms

Profiling