Details

analyze659.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	62.5%	12.5%	4
25%	56.2%	18.8%	5
28.1%	50%	21.9%	6
29.7%	46.9%	23.5%	7
30.5%	45.3%	24.3%	8
30.8%	44.9%	24.3%	9
31.2%	44.5%	24.3%	10
31.3%	44.3%	24.4%	11
31.4%	44.3%	24.4%	12
31.4%	44%	24.5%	13
31.5%	43.8%	24.8%	14

sample60.0ms

Algorithm

intervals

Results

37.0ms	104×	body	1024	valid
7.0ms	38×	body	512	valid
5.0ms	90×	body	128	valid
2.0ms	20×	body	256	valid
2.0ms	4×	body	2048	valid
0.0ms	1×	body	128	invalid

simplify241.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4822	8
1	4822	8

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+.f64 1 (exp.f64 x))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity_binary64` `add-log-exp_binary64`
1×	`flip3-+_binary64` `pow1_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

1 → 12

Calls

1 calls:

13.0ms

(+.f64 1 (exp.f64 x))

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(+.f64 1 (exp.f64 x))

simplify97.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4902	144
1	4902	144

prune11.0ms

Filtered

11 candidates to 15 candidates (-36.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	2	16

Merged error: 0b

Counts

16 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
0.0b	(pow.f64 (exp.f64 x) 2)
0.0b	(pow.f64 (exp.f64 x) 3)
3.6b	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity_binary64`
28×	`add-sqr-sqrt_binary64`
22×	`add-cube-cbrt_binary64`
20×	`times-frac_binary64`
16×	`distribute-lft-out_binary64`
8×	`pow-pow_binary64`
7×	`add-cbrt-cube_binary64` `unpow-prod-down_binary64`
6×	`pow-unpow_binary64` `add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `distribute-lft-out--_binary64` `exp-prod_binary64`
5×	`associate-/r*_binary64`
4×	`difference-of-squares_binary64` `associate-/l*_binary64`
3×	`unpow2_binary64` `sqr-pow_binary64` `cube-prod_binary64`
2×	`pow-to-exp_binary64` `flip3-+_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `flip-+_binary64` `pow-exp_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-rgt-out--_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `rem-cube-cbrt_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 109

Calls

4 calls:

16.0ms	(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
3.0ms	(pow.f64 (exp.f64 x) 2)
4.0ms	(pow.f64 (exp.f64 x) 3)
7.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))

series327.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
21.0ms	(pow.f64 (exp.f64 x) 2)
37.0ms	(pow.f64 (exp.f64 x) 3)
51.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))

simplify72.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5118	2340

prune96.0ms

Filtered

74 candidates to 121 candidates (-63.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	121	2	123

Merged error: 0b

Counts

123 → 2

regimes10.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

end0.0ms

sample1.5s

Algorithm

intervals

Results

837.0ms	2659×	body	1024	valid
223.0ms	1322×	body	512	valid
135.0ms	3031×	body	128	valid
109.0ms	294×	body	2048	valid
75.0ms	694×	body	256	valid
0.0ms	4×	body	128	invalid

Details

analyze659.0ms

sample60.0ms

simplify241.0ms

prune7.0ms

localize6.0ms

rewrite15.0ms

series24.0ms

simplify97.0ms

prune11.0ms

localize10.0ms

rewrite40.0ms

series327.0ms

simplify72.0ms

prune96.0ms

regimes10.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.5s

Profiling