Details

analyze564.0ms

Algorithm: search

sample69.0ms

Algorithm

intervals

Results

26.0ms	51×	body	1280	valid
13.0ms	44×	body	640	valid
7.0ms	125×	body	80	valid
6.0ms	29×	body	320	valid
3.0ms	12×	body	640	invalid
2.0ms	5×	body	1280	invalid
1.0ms	7×	body	160	valid
1.0ms	5×	body	160	invalid
0.0ms	9×	body	80	invalid
0.0ms	2×	body	320	invalid
0.0ms	4×	body	80	nan

simplify109.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (6.0ms)

Iter	Nodes	Cost
0	15	6
1	24	6
2	51	6
3	106	6
4	304	4
5	774	4
6	4142	4
7	5001	4

prune8.0ms

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: 11.5b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (pow (/ x (+ x y)) x) x)
0.0b	(/ x (+ x y))
5.3b	(pow (/ x (+ x y)) x)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
118×	`*-un-lft-identity`
90×	`unpow-prod-down`
80×	`add-sqr-sqrt` `add-cube-cbrt`
25×	`associate-/l*`
19×	`distribute-lft-out`
16×	`add-exp-log`
12×	`associate-/r/`
7×	`div-exp` `associate-/r*` `add-cbrt-cube` `div-inv`
6×	`flip3-+` `flip-+`
5×	`sqr-pow`
4×	`pow1` `pow-exp`
3×	`pow-unpow` `add-log-exp`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `clear-num`
1×	`pow-pow`

Counts

3 → 172

Calls

3 calls:

10.0ms	(/ (pow (/ x (+ x y)) x) x)
5.0ms	(/ x (+ x y))
6.0ms	(pow (/ x (+ x y)) x)

series45.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(/ (pow (/ x (+ x y)) x) x)
5.0ms	(/ x (+ x y))
18.0ms	(pow (/ x (+ x y)) x)

simplify96.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	752	1628
1	3787	1586
2	5001	1586

prune205.0ms

Filtered

134 candidates to 181 candidates (-35.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	174	7	181
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	174	8	182

Merged error: 1.1b

Counts

182 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ (pow (/ x (+ x y)) x) x))
5.3b	(pow (/ x (+ x y)) x)
5.3b	(pow (/ x (+ x y)) x)
5.3b	(pow (/ x (+ x y)) x)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
117×	`*-un-lft-identity`
108×	`unpow-prod-down`
81×	`add-sqr-sqrt` `add-cube-cbrt`
70×	`cbrt-prod`
18×	`distribute-lft-out`
13×	`add-exp-log`
12×	`associate-/r/`
9×	`pow-unpow`
7×	`pow1` `div-inv`
6×	`flip3-+` `pow-exp` `flip-+` `sqr-pow`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `div-exp`
1×	`cbrt-div` `pow1/3`

Counts

4 → 178

Calls

4 calls:

10.0ms	(cbrt (/ (pow (/ x (+ x y)) x) x))
6.0ms	(pow (/ x (+ x y)) x)
6.0ms	(pow (/ x (+ x y)) x)
6.0ms	(pow (/ x (+ x y)) x)

series94.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(cbrt (/ (pow (/ x (+ x y)) x) x))
17.0ms	(pow (/ x (+ x y)) x)
17.0ms	(pow (/ x (+ x y)) x)
21.0ms	(pow (/ x (+ x y)) x)

simplify107.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	919	2341
1	3802	2269
2	5002	2262

prune276.0ms

Filtered

142 candidates to 190 candidates (-33.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	188	2	190
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	189	9	198

Merged error: 1.1b

Counts

198 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
5.3b	(pow (/ x (+ x y)) x)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
18×	`unpow-prod-down`
16×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
9×	`cbrt-prod`
7×	`add-exp-log`
5×	`pow1`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `pow1/3` `distribute-lft-out`
2×	`pow-exp` `associate-/r/`
1×	`pow-to-exp` `pow-pow` `flip3-+` `div-exp` `flip-+` `div-inv` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
6.0ms	(pow (/ x (+ x y)) x)

series83.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt x)
22.0ms	(cbrt x)
23.0ms	(cbrt x)
17.0ms	(pow (/ x (+ x y)) x)

simplify49.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	458	502
1	1828	464
2	5002	416

prune110.0ms

Filtered

59 candidates to 78 candidates (-32.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	75	3	78
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	78	9	87

Merged error: 1.1b

Counts

87 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
5.3b	(pow (/ x (+ x y)) x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
18×	`unpow-prod-down`
16×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
9×	`cbrt-prod`
7×	`add-exp-log`
5×	`pow1`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `pow1/3` `distribute-lft-out`
2×	`pow-exp` `associate-/r/`
1×	`pow-to-exp` `pow-pow` `flip3-+` `div-exp` `flip-+` `div-inv` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
6.0ms	(pow (/ x (+ x y)) x)

series84.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt x)
22.0ms	(cbrt x)
21.0ms	(cbrt x)
19.0ms	(pow (/ x (+ x y)) x)

simplify49.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	458	502
1	1828	464
2	5002	416

prune87.0ms

Filtered

59 candidates to 78 candidates (-32.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	78	9	87

Merged error: 1.1b

Counts

87 → 9

regimes161.0ms

Accuracy

38.7% (6.3b remaining)

Error of 7.0b against oracle of 0.7b and baseline of 11.0b

bsearch646.0ms

Steps

Iters	Range		Point
10	8.766966897397197e+115	2.743965660324585e+126	2.0305632942508773e+116
8	7.471526357683461e+99	1.3912571267258328e+103	1.3722806318151791e+103
8	0.004361513847819508	249.48540356249188	245.52726426991933
11	-5.591823499663354e+67	-2.766252339210624e+42	-1.819569049423987e+43

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	63
1	62	63
2	65	63
3	65	63

end0.0ms

analyze559.0ms

Algorithm: search

sample1.8s

Algorithm

intervals

Results

689.0ms	1389×	body	1280	valid
379.0ms	1252×	body	640	valid
231.0ms	4342×	body	80	valid
132.0ms	673×	body	320	valid
69.0ms	230×	body	640	invalid
43.0ms	344×	body	160	valid
35.0ms	82×	body	1280	invalid
27.0ms	148×	body	320	invalid
12.0ms	104×	body	160	invalid
9.0ms	166×	body	80	invalid
8.0ms	201×	body	80	nan

Details

analyze564.0ms

sample69.0ms

simplify109.0ms

prune8.0ms

localize6.0ms

rewrite29.0ms

series45.0ms

simplify96.0ms

prune205.0ms

localize11.0ms

rewrite38.0ms

series94.0ms

simplify107.0ms

prune276.0ms

localize10.0ms

rewrite12.0ms

series83.0ms

simplify49.0ms

prune110.0ms

localize14.0ms

rewrite11.0ms

series84.0ms

simplify49.0ms

prune87.0ms

regimes161.0ms

bsearch646.0ms

simplify3.0ms

end0.0ms

analyze559.0ms

sample1.8s

Profiling