Details

sample70.0ms

Algorithm

intervals

Results

21.0ms	42×	body	1280	valid
12.0ms	40×	body	640	valid
9.0ms	168×	body	80	valid
6.0ms	30×	body	320	valid
4.0ms	107×	body	80	nan
1.0ms	10×	body	160	valid

simplify120.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (7.0ms)

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

prune9.0ms

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: 9.8b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (pow (/ x (+ x y)) x) x)
0.0b	(/ x (+ x y))
5.6b	(pow (/ x (+ x y)) x)

rewrite35.0ms

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:

11.0ms	(/ (pow (/ x (+ x y)) x) x)
5.0ms	(/ x (+ x y))
7.0ms	(pow (/ x (+ x y)) x)

series45.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(/ (pow (/ x (+ x y)) x) x)
5.0ms	(/ x (+ x y))
18.0ms	(pow (/ x (+ x y)) x)

simplify100.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 1 (22.0ms)

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

prune1.2s

Filtered

181 candidates to 134 candidates (26.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	177	4	181
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	178	4	182

Merged error: 0.1b

Counts

182 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.7b	(pow (/ (cbrt x) (cbrt (+ x y))) x)
1.2b	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

61×	`unpow-prod-down`
53×	`cbrt-prod`
52×	`*-un-lft-identity`
43×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`add-exp-log`
18×	`cbrt-div`
10×	`associate-/r/`
9×	`flip3-+` `flip-+`
8×	`distribute-lft-out`
7×	`pow-exp`
6×	`pow1` `pow-unpow`
5×	`div-exp`
4×	`frac-times` `prod-exp` `add-cbrt-cube` `add-log-exp`
2×	`pow-to-exp` `pow-pow` `pow1/3` `associate-r/` `associate-l/` `div-inv` `sqr-pow`

Counts

4 → 122

Calls

4 calls:

3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))
11.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
15.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series127.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(cbrt (+ x y))
33.0ms	(cbrt (+ x y))
27.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
36.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify93.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	1015	1704
1	3622	1621
2	5001	1580

prune1.6s

Filtered

134 candidates to 94 candidates (29.9%)

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: 0.1b

Counts

138 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.7b	(pow (/ x (cbrt (+ x y))) x)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
27×	`unpow-prod-down`
24×	`cbrt-prod`
22×	`add-sqr-sqrt` `add-cube-cbrt`
21×	`times-frac`
8×	`cbrt-div`
7×	`add-exp-log`
6×	`distribute-lft-out`
5×	`pow1`
4×	`flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`pow-exp` `associate-/r/`
1×	`pow-to-exp` `pow-pow` `div-exp` `div-inv` `sqr-pow`

Counts

4 → 84

Calls

4 calls:

3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))
8.0ms	(pow (/ x (cbrt (+ x y))) x)

series136.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(cbrt (+ x y))
30.0ms	(cbrt (+ x y))
34.0ms	(cbrt (+ x y))
41.0ms	(pow (/ x (cbrt (+ x y))) x)

simplify65.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	586	860
1	2150	828
2	5001	781

prune944.0ms

Filtered

96 candidates to 74 candidates (22.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	96	4	100

Merged error: 0.1b

Counts

100 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x y))
0.2b	(log (/ (pow (/ x (+ x y)) x) x))
2.7b	(exp (log (/ (pow (/ x (+ x y)) x) x)))
5.6b	(pow (/ x (+ x y)) x)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

228×	`times-frac`
173×	`*-un-lft-identity`
140×	`log-prod`
126×	`unpow-prod-down`
123×	`add-sqr-sqrt` `add-cube-cbrt`
70×	`exp-sum`
25×	`distribute-lft-out`
18×	`add-exp-log`
16×	`associate-/r/`
10×	`div-inv`
8×	`flip3-+` `flip-+`
7×	`pow1` `div-exp` `sqr-pow`
6×	`add-cbrt-cube`
5×	`rem-log-exp`
4×	`exp-prod` `pow-exp` `associate-/r*` `add-log-exp`
3×	`pow-unpow` `associate-/l*`
2×	`pow-to-exp` `log-div` `log-pow`
1×	`cbrt-undiv` `pow-pow` `frac-2neg` `exp-diff` `clear-num` `rem-exp-log`

Counts

4 → 233

Calls

4 calls:

5.0ms	(/ x (+ x y))
11.0ms	(log (/ (pow (/ x (+ x y)) x) x))
14.0ms	(exp (log (/ (pow (/ x (+ x y)) x) x)))
7.0ms	(pow (/ x (+ x y)) x)

series74.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ x (+ x y))
29.0ms	(log (/ (pow (/ x (+ x y)) x) x))
22.0ms	(exp (log (/ (pow (/ x (+ x y)) x) x)))
18.0ms	(pow (/ x (+ x y)) x)

simplify125.0ms

Algorithm

egg-herbie

Counts

245 → 245

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1144	2611
1	4735	2535
2	5002	2535

prune3.1s

Filtered

245 candidates to 182 candidates (25.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	244	1	245
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	245	4	249

Merged error: 0.1b

Counts

249 → 4

regimes96.0ms

Accuracy

0% (5.3b remaining)

Error of 6.8b against oracle of 1.5b and baseline of 6.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	17
1	15	17

end0.0ms

sample2.1s

Algorithm

intervals

Results

713.0ms	1464×	body	1280	valid
417.0ms	1436×	body	640	valid
256.0ms	4870×	body	80	valid
171.0ms	883×	body	320	valid
117.0ms	2963×	body	80	nan
57.0ms	469×	body	160	valid

Details

sample70.0ms

simplify120.0ms

prune9.0ms

localize7.0ms

rewrite35.0ms

series45.0ms

simplify100.0ms

prune1.2s

localize17.0ms

rewrite40.0ms

series127.0ms

simplify93.0ms

prune1.6s

localize14.0ms

rewrite20.0ms

series136.0ms

simplify65.0ms

prune944.0ms

localize9.0ms

rewrite57.0ms

series74.0ms

simplify125.0ms

prune3.1s

regimes96.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.1s

Profiling