Details

analyze68.0ms

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
25%	74.9%	0.1%	5
50%	50%	0.1%	6
56.2%	40.6%	3.2%	7
68.7%	25%	6.3%	8
71.8%	19.5%	8.7%	9
78%	12.5%	9.5%	10
79.6%	9.6%	10.8%	11
82.7%	6.2%	11%	12
83.5%	4.7%	11.8%	13
85.1%	3.1%	11.8%	14

sample14.0ms

Algorithm

intervals

Results

7.0ms	252×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	42	7
1	42	7

prune8.0ms

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

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ 10.0 (+ d2 20.0)))

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 (+ 10.0 (+ d2 20.0)))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(* d1 (+ 10.0 (+ d2 20.0)))

simplify20.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5028	212

prune37.0ms

Filtered

17 candidates to 27 candidates (-58.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	25	4	29

Merged error: 0b

Counts

29 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* d1 10.0) (* d1 d2))
0.2b	(+ (+ (* d1 10.0) (* d1 d2)) (* d1 20.0))

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:

3.0ms	(+ (* d1 10.0) (* d1 d2))
6.0ms	(+ (+ (* d1 10.0) (* d1 d2)) (* d1 20.0))

series11.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+ (* d1 10.0) (* d1 d2))
6.0ms	(+ (+ (* d1 10.0) (* d1 d2)) (* d1 20.0))

simplify23.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5162	275

prune37.0ms

Filtered

23 candidates to 32 candidates (-39.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	32	4	36

Merged error: 0b

Counts

36 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 10.0 (+ d2 20.0)))
0.0b	(sqrt (+ 10.0 (+ d2 20.0)))
0.1b	(* d1 (sqrt (+ 10.0 (+ d2 20.0))))
0.3b	(* (* d1 (sqrt (+ 10.0 (+ d2 20.0)))) (sqrt (+ 10.0 (+ d2 20.0))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
21×	`sqrt-prod`
18×	`sqrt-div`
17×	`add-sqr-sqrt`
16×	`associate-r`
13×	`pow1`
12×	`distribute-lft-out`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

5.0ms	(sqrt (+ 10.0 (+ d2 20.0)))
5.0ms	(sqrt (+ 10.0 (+ d2 20.0)))
10.0ms	(* d1 (sqrt (+ 10.0 (+ d2 20.0))))
14.0ms	(* (* d1 (sqrt (+ 10.0 (+ d2 20.0)))) (sqrt (+ 10.0 (+ d2 20.0))))

series20.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt (+ 10.0 (+ d2 20.0)))
3.0ms	(sqrt (+ 10.0 (+ d2 20.0)))
8.0ms	(* d1 (sqrt (+ 10.0 (+ d2 20.0))))
5.0ms	(* (* d1 (sqrt (+ 10.0 (+ d2 20.0)))) (sqrt (+ 10.0 (+ d2 20.0))))

simplify38.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4955	1232
1	4955	1232

prune133.0ms

Filtered

66 candidates to 103 candidates (-56.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	103	4	107

Merged error: 0b

Counts

107 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 10.0 (+ d2 20.0))
0.0b	(* (+ d2 20.0) (+ d2 20.0))
4.8b	(* d1 (- (* 10.0 10.0) (* (+ d2 20.0) (+ d2 20.0))))
9.1b	(/ (* d1 (- (* 10.0 10.0) (* (+ d2 20.0) (+ d2 20.0)))) (- 10.0 (+ d2 20.0)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt`
9×	`distribute-lft-out` `add-log-exp`
8×	`associate-r`
7×	`associate-l`
6×	`flip3-+` `times-frac` `associate-r/` `swap-sqr` `associate-/r` `flip-+` `distribute-lft-out--`
4×	`frac-times` `flip3--` `flip--` `difference-of-squares`
3×	`sub-neg` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`pow2` `frac-2neg` `pow-plus` `clear-num` `sum-log` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*` `associate--r+`

Counts

4 → 110

Calls

4 calls:

5.0ms	(- 10.0 (+ d2 20.0))
8.0ms	(* (+ d2 20.0) (+ d2 20.0))
6.0ms	(* d1 (- (* 10.0 10.0) (* (+ d2 20.0) (+ d2 20.0))))
11.0ms	(/ (* d1 (- (* 10.0 10.0) (* (+ d2 20.0) (+ d2 20.0)))) (- 10.0 (+ d2 20.0)))

series32.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(- 10.0 (+ d2 20.0))
2.0ms	(* (+ d2 20.0) (+ d2 20.0))
10.0ms	(* d1 (- (* 10.0 10.0) (* (+ d2 20.0) (+ d2 20.0))))
18.0ms	(/ (* d1 (- (* 10.0 10.0) (* (+ d2 20.0) (+ d2 20.0)))) (- 10.0 (+ d2 20.0)))

simplify49.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5017	1276

prune140.0ms

Filtered

78 candidates to 122 candidates (-56.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	122	4	126

Merged error: 0b

Counts

126 → 4

regimes113.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

end0.0ms

analyze67.0ms

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
25%	74.9%	0.1%	5
50%	50%	0.1%	6
56.2%	40.6%	3.2%	7
68.7%	25%	6.3%	8
71.8%	19.5%	8.7%	9
78%	12.5%	9.5%	10
79.6%	9.6%	10.8%	11
82.7%	6.2%	11%	12
83.5%	4.7%	11.8%	13
85.1%	3.1%	11.8%	14

sample371.0ms

Algorithm

intervals

Results

230.0ms	7827×	body	80	valid
9.0ms	74×	body	1280	valid
6.0ms	57×	body	640	valid
2.0ms	86×	body	80	invalid
2.0ms	29×	body	320	valid
1.0ms	13×	body	160	valid

Details

analyze68.0ms

sample14.0ms

simplify3.0ms

prune8.0ms

localize4.0ms

rewrite8.0ms

series5.0ms

simplify20.0ms

prune37.0ms

localize7.0ms

rewrite10.0ms

series11.0ms

simplify23.0ms

prune37.0ms

localize7.0ms

rewrite37.0ms

series20.0ms

simplify38.0ms

prune133.0ms

localize9.0ms

rewrite33.0ms

series32.0ms

simplify49.0ms

prune140.0ms

regimes113.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze67.0ms

sample371.0ms

Profiling