Details

analyze332.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
12.5%	87.4%	0.1%	5
18.7%	68.7%	12.6%	6
28.1%	59.3%	12.6%	7
32.8%	48.4%	18.8%	8
38.2%	42.9%	18.8%	9
41%	37.1%	22%	10
43.9%	34.1%	22%	11
45.5%	31%	23.5%	12
46.9%	29.6%	23.5%	13
47.7%	28%	24.3%	14

sample55.0ms

Algorithm

intervals

Results

26.0ms	112×	body	5120	exit
7.0ms	200×	body	80	valid
3.0ms	25×	body	320	valid
3.0ms	16×	body	640	valid
1.0ms	15×	body	160	valid
0.0ms	1×	body	80	overflowed

simplify98.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4985	18
1	4985	18

prune19.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 12.8b

Counts

2 → 2

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (exp.f64 wj))
0.0b	(/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1))
3.4b	(-.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt_binary64_4411`
49×	`*-un-lft-identity_binary64_4426`
39×	`times-frac_binary64_4421`
23×	`add-cube-cbrt_binary64_4397`
12×	`difference-of-squares_binary64_4455`
9×	`associate-/l*_binary64_4490`
7×	`associate-/r*_binary64_4489` `add-cbrt-cube_binary64_4398` `distribute-lft-out_binary64_4470`
6×	`add-exp-log_binary64_4390` `distribute-lft-out--_binary64_4471`
5×	`add-log-exp_binary64_4391`
3×	`pow1_binary64_4372`
2×	`div-sub_binary64_4420` `associate-/l/_binary64_4492` `div-inv_binary64_4427` `frac-2neg_binary64_4419` `div-exp_binary64_4379` `clear-num_binary64_4429` `flip--_binary64_4452` `cbrt-undiv_binary64_4396` `flip3--_binary64_4425` `associate-/r/_binary64_4491`
1×	`flip-+_binary64_4451` `flip3-+_binary64_4424` `associate--r-_binary64_4484` `sub-neg_binary64_4430` `diff-log_binary64_4342`

Counts

3 → 93

Calls

3 calls:

4.0ms	(/.f64 x (exp.f64 wj))
11.0ms	(/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1))
22.0ms	(-.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1)))

series117.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/.f64 x (exp.f64 wj))
43.0ms	(/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1))
40.0ms	(-.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 wj 1)))

simplify89.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5368	2210

prune350.0ms

Filtered

75 candidates to 102 candidates (-36.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	99	3	102
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	100	4	104

Merged error: 0.2b

Counts

104 → 4

localize9.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify10.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune18.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	1	1
Done	0	0
Total	4	4

Merged error: 0.2b

Counts

4 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 wj (+.f64 wj 1))
0.0b	(/.f64 x (exp.f64 wj))
0.0b	(/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj 1))
4.7b	(-.f64 wj (/.f64 wj (+.f64 wj 1)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac_binary64_4421`
108×	`*-un-lft-identity_binary64_4426`
75×	`add-sqr-sqrt_binary64_4411`
70×	`add-cube-cbrt_binary64_4397`
19×	`associate-/l*_binary64_4490`
18×	`distribute-lft-out_binary64_4470`
13×	`add-cbrt-cube_binary64_4398`
11×	`add-exp-log_binary64_4390` `associate-/r*_binary64_4489`
8×	`div-inv_binary64_4427`
6×	`add-log-exp_binary64_4391`
5×	`div-exp_binary64_4379` `cbrt-undiv_binary64_4396`
4×	`pow1_binary64_4372` `associate-/r/_binary64_4491`
3×	`frac-2neg_binary64_4419` `clear-num_binary64_4429`
2×	`flip-+_binary64_4451` `difference-of-squares_binary64_4455` `flip3-+_binary64_4424`
1×	`associate-/l/_binary64_4492` `distribute-lft-out--_binary64_4471` `flip--_binary64_4452` `sub-neg_binary64_4430` `flip3--_binary64_4425` `diff-log_binary64_4342`

Counts

4 → 160

Calls

4 calls:

5.0ms	(/.f64 wj (+.f64 wj 1))
4.0ms	(/.f64 x (exp.f64 wj))
10.0ms	(/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj 1))
15.0ms	(-.f64 wj (/.f64 wj (+.f64 wj 1)))

series125.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(/.f64 wj (+.f64 wj 1))
37.0ms	(/.f64 x (exp.f64 wj))
60.0ms	(/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj 1))
15.0ms	(-.f64 wj (/.f64 wj (+.f64 wj 1)))

simplify85.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4980	3274
1	4980	3274

prune659.0ms

Filtered

127 candidates to 172 candidates (-35.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	171	1	172
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	172	4	176

Merged error: 0.0b

Counts

176 → 4

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (exp.f64 wj))
0.0b	(/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj 1))
0.0b	(-.f64 (+.f64 (*.f64 wj wj) (pow.f64 wj 4)) (pow.f64 wj 3))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

106×	`times-frac_binary64_4421`
90×	`*-un-lft-identity_binary64_4426`
67×	`add-sqr-sqrt_binary64_4411`
60×	`add-cube-cbrt_binary64_4397`
16×	`associate-/l*_binary64_4490`
14×	`distribute-lft-out_binary64_4470`
10×	`add-cbrt-cube_binary64_4398`
8×	`add-exp-log_binary64_4390` `add-log-exp_binary64_4391`
7×	`associate-/r*_binary64_4489` `div-inv_binary64_4427`
4×	`div-exp_binary64_4379` `cbrt-undiv_binary64_4396` `difference-of-squares_binary64_4455`
3×	`pow1_binary64_4372`
2×	`frac-2neg_binary64_4419` `clear-num_binary64_4429` `diff-log_binary64_4342` `associate-/r/_binary64_4491`
1×	`associate-/l/_binary64_4492` `flip-+_binary64_4451` `cube-prod_binary64_4399` `distribute-lft-out--_binary64_4471` `flip--_binary64_4452` `unpow-prod-down_binary64_4361` `flip3-+_binary64_4424` `sub-neg_binary64_4430` `sqr-pow_binary64_4458` `flip3--_binary64_4425` `associate--l+_binary64_4482` `sum-log_binary64_4341`

Counts

3 → 131

Calls

3 calls:

4.0ms	(/.f64 x (exp.f64 wj))
9.0ms	(/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj 1))
11.0ms	(-.f64 (+.f64 (*.f64 wj wj) (pow.f64 wj 4)) (pow.f64 wj 3))

series107.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/.f64 x (exp.f64 wj))
52.0ms	(/.f64 (/.f64 x (exp.f64 wj)) (+.f64 wj 1))
15.0ms	(-.f64 (+.f64 (*.f64 wj wj) (pow.f64 wj 4)) (pow.f64 wj 3))

simplify104.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4992	3032
1	4992	3032

prune542.0ms

Filtered

103 candidates to 140 candidates (-35.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	139	1	140
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	139	5	144

Merged error: 0.0b

Counts

144 → 5

regimes245.0ms

Accuracy

0% (0.9b remaining)

Error of 1.0b against oracle of 0.1b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	30
1	29	30

end0.0ms

sample1.5s

Algorithm

intervals

Results

811.0ms	3821×	body	5120	exit
245.0ms	6155×	body	80	valid
91.0ms	798×	body	320	valid
79.0ms	461×	body	640	valid
45.0ms	586×	body	160	valid
3.0ms	77×	body	80	invalid
0.0ms	13×	body	80	overflowed

Details

analyze332.0ms

sample55.0ms

simplify98.0ms

prune19.0ms

localize13.0ms

rewrite40.0ms

series117.0ms

simplify89.0ms

prune350.0ms

localize9.0ms

rewrite0.0ms

series0.0ms

simplify10.0ms

prune18.0ms

localize14.0ms

rewrite41.0ms

series125.0ms

simplify85.0ms

prune659.0ms

localize29.0ms

rewrite30.0ms

series107.0ms

simplify104.0ms

prune542.0ms

regimes245.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.5s

Profiling