Details

analyze289.0ms

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	238×	body	80	valid
1.0ms	9×	body	640	valid
1.0ms	7×	body	320	valid
1.0ms	18×	body	80	invalid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	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: 0.0b

Counts

2 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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:

8.0ms

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

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

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

simplify40.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5254	218

prune42.0ms

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))

rewrite10.0ms

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:

6.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
4.0ms	(+ (* d1 3.0) (* d1 d2))

series13.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
6.0ms	(+ (* d1 3.0) (* d1 d2))

simplify33.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5072	283

prune41.0ms

Filtered

21 candidates to 32 candidates (-52.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	32	5	37

Merged error: 0.0b

Counts

37 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* d1 (+ 3.0 d2))) (cbrt (* d1 (+ 3.0 d2))))
0.6b	(cbrt (* d1 (+ 3.0 d2)))
0.6b	(cbrt (* d1 (+ 3.0 d2)))
0.6b	(cbrt (* d1 (+ 3.0 d2)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

8.0ms	(* (cbrt (* d1 (+ 3.0 d2))) (cbrt (* d1 (+ 3.0 d2))))
4.0ms	(cbrt (* d1 (+ 3.0 d2)))
4.0ms	(cbrt (* d1 (+ 3.0 d2)))
4.0ms	(cbrt (* d1 (+ 3.0 d2)))

series78.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (cbrt (* d1 (+ 3.0 d2))) (cbrt (* d1 (+ 3.0 d2))))
17.0ms	(cbrt (* d1 (+ 3.0 d2)))
17.0ms	(cbrt (* d1 (+ 3.0 d2)))
17.0ms	(cbrt (* d1 (+ 3.0 d2)))

simplify55.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4988	1044
1	4988	1044

prune176.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	82	7	89

Merged error: 0b

Counts

89 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* d1 (+ 3.0 d2))) (cbrt (* d1 (+ 3.0 d2))))
0.6b	(cbrt (* d1 (+ 3.0 d2)))
0.6b	(cbrt (* d1 (+ 3.0 d2)))
0.6b	(cbrt d1)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

6.0ms	(* (cbrt (* d1 (+ 3.0 d2))) (cbrt (* d1 (+ 3.0 d2))))
4.0ms	(cbrt (* d1 (+ 3.0 d2)))
4.0ms	(cbrt (* d1 (+ 3.0 d2)))
1.0ms	(cbrt d1)

series85.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt (* d1 (+ 3.0 d2))) (cbrt (* d1 (+ 3.0 d2))))
17.0ms	(cbrt (* d1 (+ 3.0 d2)))
18.0ms	(cbrt (* d1 (+ 3.0 d2)))
25.0ms	(cbrt d1)

simplify38.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4950	960
1	4950	960

prune150.0ms

Filtered

64 candidates to 84 candidates (-31.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	84	7	91

Merged error: 0b

Counts

91 → 7

regimes241.0ms

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

sample477.0ms

Algorithm

intervals

Results

231.0ms	7487×	body	80	valid
22.0ms	204×	body	640	valid
20.0ms	662×	body	80	invalid
15.0ms	150×	body	320	valid
11.0ms	81×	body	1280	valid
4.0ms	78×	body	160	valid

Details

analyze289.0ms

sample18.0ms

simplify3.0ms

prune9.0ms

localize5.0ms

rewrite9.0ms

series7.0ms

simplify40.0ms

prune42.0ms

localize7.0ms

rewrite10.0ms

series13.0ms

simplify33.0ms

prune41.0ms

localize10.0ms

rewrite23.0ms

series78.0ms

simplify55.0ms

prune176.0ms

localize14.0ms

rewrite18.0ms

series85.0ms

simplify38.0ms

prune150.0ms

regimes241.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample477.0ms

Profiling