Details

analyze257.0ms

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
12.5%	87.4%	0.1%	6
28.1%	71.8%	0.1%	7
42.1%	57.7%	0.1%	8
43.7%	56.2%	0.1%	9
64.4%	35.5%	0.1%	10
71.6%	28.3%	0.1%	11
72.2%	27.7%	0.1%	12
81.6%	18.2%	0.2%	13
84.9%	14.9%	0.2%	14

sample17.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
0.0ms	8×	body	80	invalid

simplify123.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (120.0ms)

Iter	Nodes	Cost
0	4901	11
1	4901	11

prune10.0ms

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: 0.5b

Counts

2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 -1 (/.f64 u t1))
0.0b	(/.f64 v (+.f64 t1 u))
1.5b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

224×	`times-frac_binary64`
187×	`add-sqr-sqrt_binary64`
177×	`*-un-lft-identity_binary64`
87×	`add-cube-cbrt_binary64`
40×	`difference-of-squares_binary64`
25×	`distribute-lft-out_binary64`
21×	`associate-/l*_binary64`
20×	`distribute-lft-out--_binary64`
18×	`associate-/r/_binary64`
10×	`associate-/r*_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`div-inv_binary64`
8×	`flip3-+_binary64` `flip-+_binary64`
5×	`add-log-exp_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1_binary64`
2×	`flip3--_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64`
1×	`associate-/l/_binary64` `sub-neg_binary64` `diff-log_binary64`

Counts

3 → 196

Calls

3 calls:

7.0ms	(-.f64 -1 (/.f64 u t1))
9.0ms	(/.f64 v (+.f64 t1 u))
16.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

series36.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(-.f64 -1 (/.f64 u t1))
14.0ms	(/.f64 v (+.f64 t1 u))
19.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

simplify65.0ms

Algorithm

egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5119	3730

prune188.0ms

Filtered

137 candidates to 205 candidates (-49.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	198	7	205
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	198	9	207

Merged error: 0.2b

Counts

207 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

1.0b	(/.f64 1 (*.f64 (cbrt.f64 (-.f64 -1 (/.f64 u t1))) (cbrt.f64 (-.f64 -1 (/.f64 u t1)))))
9.8b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
9.8b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
9.8b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64` `cbrt-prod_binary64`
15×	`*-un-lft-identity_binary64` `add-exp-log_binary64`
12×	`pow1_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `add-cube-cbrt_binary64` `flip--_binary64` `pow-flip_binary64`
8×	`associate-/r/_binary64`
7×	`add-cbrt-cube_binary64`
6×	`difference-of-squares_binary64` `times-frac_binary64`
4×	`add-log-exp_binary64` `div-exp_binary64` `frac-times_binary64`
3×	`prod-exp_binary64` `associate-/l*_binary64` `distribute-lft-out--_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `rec-exp_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`associate-/r*_binary64` `cbrt-unprod_binary64` `pow-plus_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `div-inv_binary64` `pow2_binary64`

Counts

4 → 91

Calls

4 calls:

19.0ms	(/.f64 1 (*.f64 (cbrt.f64 (-.f64 -1 (/.f64 u t1))) (cbrt.f64 (-.f64 -1 (/.f64 u t1)))))
6.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
9.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
7.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

series204.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/.f64 1 (*.f64 (cbrt.f64 (-.f64 -1 (/.f64 u t1))) (cbrt.f64 (-.f64 -1 (/.f64 u t1)))))
50.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
52.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
51.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

simplify46.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5003	1040

prune127.0ms

Filtered

75 candidates to 103 candidates (-37.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	103	9	112

Merged error: 0.2b

Counts

112 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 v)
0.6b	(cbrt.f64 v)
0.6b	(cbrt.f64 v)
1.5b	(/.f64 (/.f64 (*.f64 (cbrt.f64 v) (cbrt.f64 v)) (/.f64 (+.f64 t1 u) (cbrt.f64 v))) (-.f64 -1 (/.f64 u t1)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

596×	`times-frac_binary64`
323×	`add-sqr-sqrt_binary64`
305×	`*-un-lft-identity_binary64`
153×	`add-cube-cbrt_binary64`
93×	`cbrt-prod_binary64`
68×	`difference-of-squares_binary64`
42×	`distribute-lft-out_binary64`
34×	`distribute-lft-out--_binary64`
33×	`associate-/l*_binary64`
22×	`add-exp-log_binary64`
16×	`add-cbrt-cube_binary64`
15×	`div-inv_binary64`
11×	`cbrt-undiv_binary64` `div-exp_binary64`
9×	`associate-/r/_binary64`
6×	`associate-/r*_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
3×	`pow1/3_binary64`
2×	`cbrt-unprod_binary64` `prod-exp_binary64`
1×	`associate-/l/_binary64` `flip3--_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64`

Counts

4 → 293

Calls

4 calls:

1.0ms	(cbrt.f64 v)
1.0ms	(cbrt.f64 v)
1.0ms	(cbrt.f64 v)
24.0ms	(/.f64 (/.f64 (*.f64 (cbrt.f64 v) (cbrt.f64 v)) (/.f64 (+.f64 t1 u) (cbrt.f64 v))) (-.f64 -1 (/.f64 u t1)))

series109.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(cbrt.f64 v)
30.0ms	(cbrt.f64 v)
28.0ms	(cbrt.f64 v)
23.0ms	(/.f64 (/.f64 (*.f64 (cbrt.f64 v) (cbrt.f64 v)) (/.f64 (+.f64 t1 u) (cbrt.f64 v))) (-.f64 -1 (/.f64 u t1)))

simplify89.0ms

Algorithm

egg-herbie

Counts

305 → 305

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4981	7174
1	4981	7174

prune247.0ms

Filtered

206 candidates to 305 candidates (-48.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	305	0	305
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	305	9	314

Merged error: 0.2b

Counts

314 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

9.8b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
11.2b	(cbrt.f64 (/.f64 v (+.f64 t1 u)))
11.2b	(cbrt.f64 (/.f64 v (+.f64 t1 u)))
11.2b	(cbrt.f64 (/.f64 v (+.f64 t1 u)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-prod_binary64`
49×	`*-un-lft-identity_binary64`
37×	`times-frac_binary64`
34×	`add-sqr-sqrt_binary64`
29×	`add-cube-cbrt_binary64`
9×	`distribute-lft-out_binary64`
6×	`associate-/r/_binary64`
5×	`cbrt-div_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`flip3-+_binary64` `div-inv_binary64` `flip-+_binary64`
2×	`difference-of-squares_binary64`
1×	`flip3--_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

4 → 97

Calls

4 calls:

6.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
5.0ms	(cbrt.f64 (/.f64 v (+.f64 t1 u)))
7.0ms	(cbrt.f64 (/.f64 v (+.f64 t1 u)))
5.0ms	(cbrt.f64 (/.f64 v (+.f64 t1 u)))

series155.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
34.0ms	(cbrt.f64 (/.f64 v (+.f64 t1 u)))
36.0ms	(cbrt.f64 (/.f64 v (+.f64 t1 u)))
34.0ms	(cbrt.f64 (/.f64 v (+.f64 t1 u)))

simplify46.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5270	1203

prune122.0ms

Filtered

92 candidates to 109 candidates (-18.5%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	109	9	118

Merged error: 0.2b

Counts

118 → 9

regimes262.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.2b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	11
1	26	11

end0.0ms

sample424.0ms

Algorithm

intervals

Results

247.0ms	8000×	body	80	valid
8.0ms	262×	body	80	invalid

Details

analyze257.0ms

sample17.0ms

simplify123.0ms

prune10.0ms

localize8.0ms

rewrite44.0ms

series36.0ms

simplify65.0ms

prune188.0ms

localize13.0ms

rewrite44.0ms

series204.0ms

simplify46.0ms

prune127.0ms

localize12.0ms

rewrite54.0ms

series109.0ms

simplify89.0ms

prune247.0ms

localize15.0ms

rewrite26.0ms

series155.0ms

simplify46.0ms

prune122.0ms

regimes262.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample424.0ms

Profiling