Details

analyze578.0ms

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
0%	99.9%	0.1%	5
3.1%	90.5%	6.3%	6
4.7%	85.9%	9.5%	7
21.1%	64%	14.9%	8
23.4%	58.9%	17.7%	9
27.7%	51.3%	21%	10
28.9%	48.5%	22.6%	11
31.1%	44.4%	24.5%	12
31.7%	42.9%	25.4%	13
32.7%	41%	26.3%	14

sample57.0ms

Algorithm

intervals

Results

19.0ms	42×	body	1024	valid
9.0ms	155×	body	128	valid
7.0ms	31×	body	512	valid
3.0ms	10×	body	1024	invalid
3.0ms	24×	body	256	valid
3.0ms	4×	body	2048	valid
2.0ms	8×	body	512	invalid
1.0ms	10×	body	128	invalid
1.0ms	4×	body	256	invalid
0.0ms	8×	body	128	nan

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4988	13
1	4988	13

prune3.0ms

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: 10.4b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 x (+.f64 x y))
5.4b	(pow.f64 (/.f64 x (+.f64 x y)) x)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64`
24×	`times-frac_binary64`
20×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
18×	`unpow-prod-down_binary64`
7×	`distribute-lft-out_binary64` `add-exp-log_binary64`
4×	`associate-/r*_binary64` `add-cbrt-cube_binary64` `associate-/r/_binary64`
3×	`pow-unpow_binary64` `pow1_binary64` `associate-/l*_binary64`
2×	`flip3-+_binary64` `add-log-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64` `pow-exp_binary64`
1×	`pow-to-exp_binary64` `cbrt-undiv_binary64` `pow-pow_binary64` `sqr-pow_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

2 → 66

Calls

2 calls:

5.0ms	(/.f64 x (+.f64 x y))
7.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)

series435.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(/.f64 x (+.f64 x y))
382.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)

simplify47.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5238	1126

prune52.0ms

Filtered

50 candidates to 72 candidates (-44.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	68	4	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	4	73

Merged error: 0.0b

Counts

73 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 x y))
0.6b	(cbrt.f64 (+.f64 x y))
1.0b	(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) x)
2.0b	(pow.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) x)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

61×	`unpow-prod-down_binary64`
53×	`cbrt-prod_binary64`
52×	`*-un-lft-identity_binary64`
43×	`times-frac_binary64`
36×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
20×	`add-exp-log_binary64`
18×	`cbrt-div_binary64`
10×	`associate-/r/_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
8×	`distribute-lft-out_binary64`
7×	`pow-exp_binary64`
6×	`pow-unpow_binary64` `pow1_binary64`
5×	`div-exp_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `prod-exp_binary64` `frac-times_binary64`
2×	`pow-to-exp_binary64` `associate-r/_binary64` `pow1/3_binary64` `pow-pow_binary64` `sqr-pow_binary64` `div-inv_binary64` `associate-l/_binary64`

Counts

4 → 122

Calls

4 calls:

4.0ms	(cbrt.f64 (+.f64 x y))
3.0ms	(cbrt.f64 (+.f64 x y))
12.0ms	(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) x)
17.0ms	(pow.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) x)

series1.4s

Counts

4 → 12

Calls

4 calls:

222.0ms	(cbrt.f64 (+.f64 x y))
213.0ms	(cbrt.f64 (+.f64 x y))
462.0ms	(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) x)
505.0ms	(pow.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) x)

simplify93.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4916	3328
1	4916	3328

prune129.0ms

Filtered

104 candidates to 134 candidates (-28.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	134	4	138

Merged error: 0.0b

Counts

138 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (exp.f64 (neg.f64 y)) x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
3×	`associate-/r_binary64` `add-cbrt-cube_binary64` `associate-/l_binary64`
2×	`associate-/l/_binary64` `add-exp-log_binary64`
1×	`add-log-exp_binary64` `pow1_binary64` `neg-sub0_binary64` `cbrt-undiv_binary64` `exp-diff_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `exp-neg_binary64`

Counts

1 → 29

Calls

1 calls:

6.0ms

(/.f64 (exp.f64 (neg.f64 y)) x)

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(/.f64 (exp.f64 (neg.f64 y)) x)

simplify95.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4834	435
1	4834	435

prune17.0ms

Filtered

24 candidates to 32 candidates (-33.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	31	5	36

Merged error: 0b

Counts

36 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (/.f64 -1 (exp.f64 y)) (neg.f64 x))
0.0b	(/.f64 -1 (exp.f64 y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

238×	`times-frac_binary64`
129×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
42×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
16×	`associate-/l*_binary64`
14×	`neg-mul-1_binary64`
13×	`associate-/r*_binary64` `div-inv_binary64`
9×	`add-cbrt-cube_binary64`
7×	`add-exp-log_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`associate-/l/_binary64`

Counts

2 → 195

Calls

2 calls:

10.0ms	(/.f64 (/.f64 -1 (exp.f64 y)) (neg.f64 x))
4.0ms	(/.f64 -1 (exp.f64 y))

series90.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(/.f64 (/.f64 -1 (exp.f64 y)) (neg.f64 x))
33.0ms	(/.f64 -1 (exp.f64 y))

simplify110.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4958	4498
1	4958	4498

prune122.0ms

Filtered

141 candidates to 201 candidates (-42.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	201	0	201
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	201	5	206

Merged error: 0b

Counts

206 → 5

regimes49.0ms

Accuracy

80.2% (1.2b remaining)

Error of 1.7b against oracle of 0.5b and baseline of 6.7b

bsearch53.0ms

Steps

Iters	Range		Point
6	1.3759300157703688e-11	1.1501627321071092e-10	1.1361342278344933e-10
9	-3595087.538064505	-0.004914902810418235	-129.9211394806992

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	50
1	33	50

end0.0ms

sample1.7s

Algorithm

intervals

Results

687.0ms	1782×	body	1024	valid
262.0ms	4552×	body	128	valid
225.0ms	971×	body	512	valid
112.0ms	158×	body	2048	valid
75.0ms	537×	body	256	valid
67.0ms	184×	body	1024	invalid
52.0ms	231×	body	512	invalid
21.0ms	162×	body	256	invalid
14.0ms	231×	body	128	invalid
9.0ms	169×	body	128	nan

Details

analyze578.0ms

sample57.0ms

simplify53.0ms

prune3.0ms

localize6.0ms

rewrite18.0ms

series435.0ms

simplify47.0ms

prune52.0ms

localize18.0ms

rewrite54.0ms

series1.4s

simplify93.0ms

prune129.0ms

localize5.0ms

rewrite8.0ms

series45.0ms

simplify95.0ms

prune17.0ms

localize6.0ms

rewrite35.0ms

series90.0ms

simplify110.0ms

prune122.0ms

regimes49.0ms

bsearch53.0ms

simplify3.0ms

end0.0ms

sample1.7s

Profiling