Details

analyze84.0ms

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

sample23.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	27×	body	80	overflowed

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	8	13
1	8	13

prune6.0ms

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: 0.8b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.8b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_3142`
12×	`times-frac_binary64_3137`
11×	`add-cube-cbrt_binary64_3113` `add-sqr-sqrt_binary64_3127`
5×	`distribute-lft-out_binary64_3186`
4×	`associate-/r*_binary64_3205` `add-cbrt-cube_binary64_3114` `add-log-exp_binary64_3107`
3×	`associate-/l*_binary64_3206` `add-exp-log_binary64_3106`
2×	`pow1_binary64_3088` `flip-+_binary64_3167` `flip3-+_binary64_3140` `associate-/r/_binary64_3207`
1×	`cbrt-undiv_binary64_3112` `div-exp_binary64_3095` `clear-num_binary64_3145` `+-commutative_binary64_3209` `frac-2neg_binary64_3135` `sum-log_binary64_3057` `div-inv_binary64_3143`

Counts

2 → 45

Calls

2 calls:

4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
7.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

series71.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
52.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

simplify83.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5029	899

prune164.0ms

Filtered

36 candidates to 51 candidates (-41.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	47	4	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	4	52

Merged error: 0.2b

Counts

52 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.5b	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
3.7b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64_3142`
11×	`add-sqr-sqrt_binary64_3127`
9×	`add-log-exp_binary64_3107`
8×	`log-prod_binary64_3060`
7×	`pow1_binary64_3088` `add-cube-cbrt_binary64_3113`
6×	`exp-prod_binary64_3096` `log-div_binary64_3061`
5×	`add-exp-log_binary64_3106`
4×	`distribute-lft-out--_binary64_3187` `add-cbrt-cube_binary64_3114` `flip-+_binary64_3167` `associate--r-_binary64_3200` `flip3-+_binary64_3140` `associate--r+_binary64_3197`
3×	`log-pow_binary64_3063` `exp-sum_binary64_3101` `distribute-lft-out_binary64_3186`
2×	`rem-exp-log_binary64_3104` `difference-of-squares_binary64_3171` `sub-neg_binary64_3146` `diff-log_binary64_3058`
1×	`+-commutative_binary64_3209` `sum-log_binary64_3057` `flip--_binary64_3168` `exp-diff_binary64_3103` `flip3--_binary64_3141` `rem-log-exp_binary64_3105`

Counts

4 → 66

Calls

4 calls:

5.0ms	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
7.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

series147.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
19.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
35.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
41.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

simplify102.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4953	1206
1	4953	1206

prune199.0ms

Filtered

54 candidates to 78 candidates (-44.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	78	4	82

Merged error: 0.2b

Counts

82 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.5b	(/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
1.0b	(/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

378×	`times-frac_binary64_3137`
304×	`*-un-lft-identity_binary64_3142`
224×	`sqrt-prod_binary64_3121`
188×	`add-cube-cbrt_binary64_3113` `add-sqr-sqrt_binary64_3127`
58×	`distribute-lft-out_binary64_3186`
30×	`associate-/l*_binary64_3206`
20×	`associate-/r/_binary64_3207` `sqrt-div_binary64_3122`
14×	`associate-/r*_binary64_3205`
12×	`flip-+_binary64_3167` `flip3-+_binary64_3140`
11×	`add-cbrt-cube_binary64_3114`
10×	`div-inv_binary64_3143`
9×	`add-exp-log_binary64_3106`
8×	`add-log-exp_binary64_3107`
4×	`cbrt-undiv_binary64_3112` `div-exp_binary64_3095` `pow1_binary64_3088`
2×	`clear-num_binary64_3145` `+-commutative_binary64_3209` `frac-2neg_binary64_3135` `sum-log_binary64_3057`
1×	`associate-/l/_binary64_3208`

Counts

4 → 309

Calls

4 calls:

4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
19.0ms	(/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
10.0ms	(/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))

series181.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
19.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
48.0ms	(/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
90.0ms	(/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))

simplify216.0ms

Algorithm

egg-herbie

Counts

321 → 321

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4951	11658
1	4951	11658

prune531.0ms

Filtered

136 candidates to 321 candidates (-136.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	321	0	321
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	321	4	325

Merged error: 0.2b

Counts

325 → 4

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (exp.f64 a) (+.f64 a (+.f64 b 2)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity_binary64_3142`
15×	`times-frac_binary64_3137`
12×	`distribute-lft-out_binary64_3186`
11×	`add-cube-cbrt_binary64_3113` `add-sqr-sqrt_binary64_3127`
5×	`associate-/r*_binary64_3205`
3×	`associate-/l*_binary64_3206` `add-cbrt-cube_binary64_3114`
2×	`add-exp-log_binary64_3106` `associate-/r/_binary64_3207`
1×	`cbrt-undiv_binary64_3112` `div-exp_binary64_3095` `clear-num_binary64_3145` `pow1_binary64_3088` `flip-+_binary64_3167` `frac-2neg_binary64_3135` `flip3-+_binary64_3140` `add-log-exp_binary64_3107` `div-inv_binary64_3143`

Counts

1 → 37

Calls

1 calls:

8.0ms

(/.f64 (exp.f64 a) (+.f64 a (+.f64 b 2)))

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

(/.f64 (exp.f64 a) (+.f64 a (+.f64 b 2)))

simplify84.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5339	714

prune115.0ms

Filtered

25 candidates to 40 candidates (-60.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	40	4	44

Merged error: 0.2b

Counts

44 → 4

regimes253.0ms

Accuracy

0% (0.2b remaining)

Error of 0.6b against oracle of 0.4b and baseline of 0.6b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	15
1	20	15

end0.0ms

sample439.0ms

Algorithm

intervals

Results

244.0ms	8000×	body	80	valid
15.0ms	653×	body	80	overflowed

Details

analyze84.0ms

sample23.0ms

simplify12.0ms

prune6.0ms

localize8.0ms

rewrite13.0ms

series71.0ms

simplify83.0ms

prune164.0ms

localize13.0ms

rewrite23.0ms

series147.0ms

simplify102.0ms

prune199.0ms

localize21.0ms

rewrite57.0ms

series181.0ms

simplify216.0ms

prune531.0ms

localize9.0ms

rewrite9.0ms

series62.0ms

simplify84.0ms

prune115.0ms

regimes253.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample439.0ms

Profiling