Details

analyze286.0ms

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
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
45.2%	51.1%	3.7%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	10.9%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

sample18.0ms

Algorithm

intervals

Results

7.0ms	243×	body	80	valid
1.0ms	32×	body	80	invalid
1.0ms	5×	body	640	valid
1.0ms	6×	body	320	valid
0.0ms	2×	body	1280	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	42	7
1	42	7

prune9.0ms

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: 0.1b

Counts

2 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ 3.0 (+ d2 d3)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `associate-r`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube` `distribute-lft-out`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

7.0ms

(* d1 (+ 3.0 (+ d2 d3)))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* d1 (+ 3.0 (+ d2 d3)))

simplify47.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5093	218

prune39.0ms

Filtered

16 candidates to 27 candidates (-68.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	24	5	29

Merged error: 0.0b

Counts

29 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
0.0b	(+ (* d1 3.0) (* d1 d2))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
3×	`distribute-lft-out`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 26

Calls

2 calls:

5.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
4.0ms	(+ (* d1 3.0) (* d1 d2))

series13.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
5.0ms	(+ (* d1 3.0) (* d1 d2))

simplify31.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5407	279

prune40.0ms

Filtered

22 candidates to 32 candidates (-45.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	32	5	37

Merged error: 0.0b

Counts

37 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (+ 3.0 (+ d2 d3))) (cbrt (+ 3.0 (+ d2 d3))))
0.4b	(cbrt (+ 3.0 (+ d2 d3)))
0.4b	(cbrt (+ 3.0 (+ d2 d3)))
0.4b	(cbrt (+ 3.0 (+ d2 d3)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
51×	`cbrt-prod`
33×	`distribute-lft-out`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 105

Calls

4 calls:

13.0ms	(* (cbrt (+ 3.0 (+ d2 d3))) (cbrt (+ 3.0 (+ d2 d3))))
5.0ms	(cbrt (+ 3.0 (+ d2 d3)))
4.0ms	(cbrt (+ 3.0 (+ d2 d3)))
4.0ms	(cbrt (+ 3.0 (+ d2 d3)))

series69.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (cbrt (+ 3.0 (+ d2 d3))) (cbrt (+ 3.0 (+ d2 d3))))
16.0ms	(cbrt (+ 3.0 (+ d2 d3)))
16.0ms	(cbrt (+ 3.0 (+ d2 d3)))
16.0ms	(cbrt (+ 3.0 (+ d2 d3)))

simplify48.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5699	1434

prune183.0ms

Filtered

77 candidates to 117 candidates (-51.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	116	6	122

Merged error: 0b

Counts

122 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (+ 3.0 (+ d2 d3))) (cbrt (+ 3.0 (+ d2 d3))))
0.4b	(cbrt (+ 3.0 (+ d2 d3)))
0.4b	(cbrt (+ 3.0 (+ d2 d3)))
0.5b	(* (cbrt (sqrt (+ 3.0 (+ d2 d3)))) (cbrt (sqrt (+ 3.0 (+ d2 d3)))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

124×	`*-un-lft-identity`
106×	`cbrt-prod`
56×	`add-sqr-sqrt`
54×	`distribute-lft-out`
40×	`sqrt-prod`
33×	`swap-sqr`
28×	`cbrt-div`
26×	`add-cube-cbrt`
19×	`associate-r` `associate-l`
18×	`pow1`
14×	`flip3-+` `pow1/3` `flip-+`
13×	`unswap-sqr`
12×	`sqrt-div`
8×	`add-exp-log` `frac-times`
4×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up` `add-cbrt-cube` `add-log-exp`
2×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 166

Calls

4 calls:

13.0ms	(* (cbrt (+ 3.0 (+ d2 d3))) (cbrt (+ 3.0 (+ d2 d3))))
4.0ms	(cbrt (+ 3.0 (+ d2 d3)))
4.0ms	(cbrt (+ 3.0 (+ d2 d3)))
15.0ms	(* (cbrt (sqrt (+ 3.0 (+ d2 d3)))) (cbrt (sqrt (+ 3.0 (+ d2 d3)))))

series70.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (cbrt (+ 3.0 (+ d2 d3))) (cbrt (+ 3.0 (+ d2 d3))))
16.0ms	(cbrt (+ 3.0 (+ d2 d3)))
16.0ms	(cbrt (+ 3.0 (+ d2 d3)))
17.0ms	(* (cbrt (sqrt (+ 3.0 (+ d2 d3)))) (cbrt (sqrt (+ 3.0 (+ d2 d3)))))

simplify66.0ms

Algorithm

egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4960	2454
1	4960	2454

prune300.0ms

Filtered

99 candidates to 178 candidates (-79.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	178	6	184

Merged error: 0b

Counts

184 → 6

regimes218.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

end0.0ms

analyze290.0ms

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
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
45.2%	51.1%	3.7%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	10.9%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

sample476.0ms

Algorithm

intervals

Results

234.0ms	7483×	body	80	valid
23.0ms	674×	body	80	invalid
20.0ms	192×	body	640	valid
14.0ms	167×	body	320	valid
11.0ms	80×	body	1280	valid
4.0ms	78×	body	160	valid

Details

analyze286.0ms

sample18.0ms

simplify3.0ms

prune9.0ms

localize5.0ms

rewrite8.0ms

series7.0ms

simplify47.0ms

prune39.0ms

localize7.0ms

rewrite9.0ms

series13.0ms

simplify31.0ms

prune40.0ms

localize8.0ms

rewrite32.0ms

series69.0ms

simplify48.0ms

prune183.0ms

localize12.0ms

rewrite48.0ms

series70.0ms

simplify66.0ms

prune300.0ms

regimes218.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze290.0ms

sample476.0ms

Profiling