Details

analyze7.0ms

Algorithm

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
37.5%	12.5%	50%	4
43.7%	6.2%	50%	5
46.9%	3.1%	50%	6
48.4%	1.6%	50%	7
49.2%	0.8%	50%	8
49.6%	0.4%	50%	9
49.8%	0.2%	50%	10
49.9%	0.1%	50%	11
49.9%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

sample28.0ms

Algorithm

intervals

Results

16.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify193.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5204	13

prune16.0ms

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: 0.4b

Counts

2 → 2

localize13.0ms

Local error

Found 2 expressions with local error:

0.4b	(/.f64 -1 (*.f64 i i))
0.4b	(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_3784`
15×	`times-frac_binary64_3779`
13×	`add-sqr-sqrt_binary64_3769` `add-cube-cbrt_binary64_3755`
9×	`add-exp-log_binary64_3748` `add-cbrt-cube_binary64_3756`
6×	`associate-/l*_binary64_3848`
5×	`associate-/r*_binary64_3847`
4×	`distribute-lft-out_binary64_3828`
3×	`cbrt-undiv_binary64_3754` `div-exp_binary64_3737`
2×	`add-log-exp_binary64_3749` `clear-num_binary64_3787` `frac-2neg_binary64_3777` `pow1_binary64_3730` `div-inv_binary64_3785` `associate-/r/_binary64_3849`
1×	`cbrt-unprod_binary64_3753` `prod-exp_binary64_3735` `flip-+_binary64_3809` `flip3-+_binary64_3782`

Counts

2 → 54

Calls

2 calls:

5.0ms	(/.f64 -1 (*.f64 i i))
7.0ms	(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))

series37.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(/.f64 -1 (*.f64 i i))
18.0ms	(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))

simplify90.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5191	918

prune197.0ms

Filtered

42 candidates to 60 candidates (-42.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	57	3	60
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	59	3	62

Merged error: 0b

Counts

62 → 3

localize11.0ms

Local error

Found 2 expressions with local error:

0.4b	(/.f64 -1 (*.f64 i i))
0.5b	(/.f64 1 (+.f64 4 (/.f64 -1 (*.f64 i i))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_3784`
15×	`times-frac_binary64_3779`
13×	`add-sqr-sqrt_binary64_3769` `add-cube-cbrt_binary64_3755`
10×	`add-exp-log_binary64_3748`
9×	`add-cbrt-cube_binary64_3756`
6×	`associate-/l*_binary64_3848`
5×	`associate-/r*_binary64_3847`
4×	`distribute-lft-out_binary64_3828`
3×	`pow1_binary64_3730` `cbrt-undiv_binary64_3754` `div-exp_binary64_3737`
2×	`add-log-exp_binary64_3749` `clear-num_binary64_3787` `frac-2neg_binary64_3777` `div-inv_binary64_3785` `associate-/r/_binary64_3849`
1×	`inv-pow_binary64_3706` `cbrt-unprod_binary64_3753` `prod-exp_binary64_3735` `flip-+_binary64_3809` `flip3-+_binary64_3782` `pow-flip_binary64_3714` `rec-exp_binary64_3736`

Counts

2 → 57

Calls

2 calls:

5.0ms	(/.f64 -1 (*.f64 i i))
7.0ms	(/.f64 1 (+.f64 4 (/.f64 -1 (*.f64 i i))))

series36.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(/.f64 -1 (*.f64 i i))
16.0ms	(/.f64 1 (+.f64 4 (/.f64 -1 (*.f64 i i))))

simplify68.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5223	922

prune169.0ms

Filtered

38 candidates to 63 candidates (-65.8%)

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: 0b

Counts

66 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow.f64 (/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))) 3)
0.4b	(/.f64 -1 (*.f64 i i))
0.4b	(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
9.1b	(cbrt.f64 (pow.f64 (/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))) 3))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

81×	`*-un-lft-identity_binary64_3784`
63×	`times-frac_binary64_3779`
49×	`add-sqr-sqrt_binary64_3769` `add-cube-cbrt_binary64_3755`
42×	`cbrt-prod_binary64_3751`
36×	`cube-prod_binary64_3757` `unpow-prod-down_binary64_3719`
16×	`distribute-lft-out_binary64_3828`
14×	`add-exp-log_binary64_3748` `add-cbrt-cube_binary64_3756`
10×	`associate-/r/_binary64_3849`
6×	`div-inv_binary64_3785` `associate-/l*_binary64_3848`
5×	`pow1_binary64_3730` `associate-/r*_binary64_3847` `flip-+_binary64_3809` `flip3-+_binary64_3782`
4×	`add-log-exp_binary64_3749` `cbrt-undiv_binary64_3754` `div-exp_binary64_3737`
3×	`pow-unpow_binary64_3717`
2×	`sqr-pow_binary64_3816` `clear-num_binary64_3787` `frac-2neg_binary64_3777` `rem-cube-cbrt_binary64_3760` `cube-div_binary64_3758` `pow-exp_binary64_3708` `unpow3_binary64_3728` `cube-mult_binary64_3759`
1×	`cbrt-unprod_binary64_3753` `prod-exp_binary64_3735` `pow-to-exp_binary64_3709` `pow1/3_binary64_3722` `cbrt-div_binary64_3752` `rem-cbrt-cube_binary64_3761` `pow-pow_binary64_3712`

Counts

4 → 162

Calls

4 calls:

9.0ms	(pow.f64 (/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))) 3)
5.0ms	(/.f64 -1 (*.f64 i i))
7.0ms	(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
9.0ms	(cbrt.f64 (pow.f64 (/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))) 3))

series73.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(pow.f64 (/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))) 3)
16.0ms	(/.f64 -1 (*.f64 i i))
14.0ms	(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
17.0ms	(cbrt.f64 (pow.f64 (/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i)))) 3))

simplify91.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4906	3416
1	4906	3416

prune567.0ms

Filtered

92 candidates to 174 candidates (-89.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	174	3	177

Merged error: 0b

Counts

177 → 3

localize15.0ms

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (pow.f64 i 4) (*.f64 4 (pow.f64 i 6)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp_binary64_3749`
1×	`+-commutative_binary64_3851` `add-exp-log_binary64_3748` `pow1_binary64_3730` `flip-+_binary64_3809` `add-cbrt-cube_binary64_3756` `flip3-+_binary64_3782` `*-un-lft-identity_binary64_3784` `add-sqr-sqrt_binary64_3769` `add-cube-cbrt_binary64_3755` `sum-log_binary64_3699`

Counts

1 → 11

Calls

1 calls:

5.0ms

(+.f64 (pow.f64 i 4) (*.f64 4 (pow.f64 i 6)))

series78.0ms

Counts

1 → 3

Calls

1 calls:

78.0ms

(+.f64 (pow.f64 i 4) (*.f64 4 (pow.f64 i 6)))

simplify80.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5249	238

prune31.0ms

Filtered

10 candidates to 14 candidates (-40.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	14	3	17

Merged error: 0b

Counts

17 → 3

regimes52.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	16
1	13	16

end0.0ms

sample646.0ms

Algorithm

intervals

Results

419.0ms	8000×	body	80	valid
85.0ms	8000×	pre	80	true

Details

analyze7.0ms

sample28.0ms

simplify193.0ms

prune16.0ms

localize13.0ms

rewrite13.0ms

series37.0ms

simplify90.0ms

prune197.0ms

localize11.0ms

rewrite13.0ms

series36.0ms

simplify68.0ms

prune169.0ms

localize15.0ms

rewrite36.0ms

series73.0ms

simplify91.0ms

prune567.0ms

localize15.0ms

rewrite5.0ms

series78.0ms

simplify80.0ms

prune31.0ms

regimes52.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample646.0ms

Profiling