Details

analyze78.0ms

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

sample19.0ms

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

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: 1.3b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

1.2b	(/.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)))

series12.0ms

Counts

1 → 3

Calls

1 calls:

12.0ms

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

simplify47.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4940	434
1	4940	434

prune22.0ms

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: 1.2b

Counts

37 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
0.8b	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
4.5b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64`
10×	`add-sqr-sqrt_binary64`
8×	`log-prod_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `log-div_binary64` `exp-prod_binary64`
4×	`associate--r+_binary64` `associate--r-_binary64` `add-exp-log_binary64` `distribute-lft-out--_binary64`
3×	`flip3-+_binary64` `log-pow_binary64` `add-cbrt-cube_binary64` `exp-sum_binary64` `flip-+_binary64`
2×	`sub-neg_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `rem-exp-log_binary64` `difference-of-squares_binary64`
1×	`flip3--_binary64` `rem-log-exp_binary64` `exp-diff_binary64` `flip--_binary64`

Counts

3 → 54

Calls

3 calls:

5.0ms	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
8.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

series30.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
9.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
9.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

simplify47.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5010	622

prune26.0ms

Filtered

42 candidates to 63 candidates (-50.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	63	3	66

Merged error: 1.2b

Counts

66 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(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)))))
1.2b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.2b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite57.0ms

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))))
25.0ms	(*.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)))))
8.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
8.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

series56.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
12.0ms	(*.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)))))
12.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
15.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

simplify67.0ms

Algorithm

egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4961	2910
1	4961	2910

prune74.0ms

Filtered

130 candidates to 216 candidates (-66.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Merged error: 1.2b

Counts

219 → 3

localize4.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify7.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	2	2
Total	3	3

Merged error: 1.2b

Counts

3 → 3

regimes104.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	9
1	19	9

end0.0ms

sample391.0ms

Algorithm

intervals

Results

228.0ms	8000×	body	80	valid
16.0ms	697×	body	80	overflowed

Details

analyze78.0ms

sample19.0ms

simplify5.0ms

prune2.0ms

localize5.0ms

rewrite8.0ms

series12.0ms

simplify47.0ms

prune22.0ms

localize10.0ms

rewrite19.0ms

series30.0ms

simplify47.0ms

prune26.0ms

localize7.0ms

rewrite57.0ms

series56.0ms

simplify67.0ms

prune74.0ms

localize4.0ms

rewrite0.0ms

series0.0ms

simplify7.0ms

prune0.0ms

regimes104.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample391.0ms

Profiling