Details

analyze545.0ms

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%	56.9%	2.5%	9
45.2%	50.7%	4%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	11%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

sample20.0ms

Algorithm

intervals

Results

9.0ms	251×	body	80	valid
1.0ms	26×	body	80	invalid
1.0ms	3×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	19	6
1	40	5
2	123	4
3	249	4
4	355	4
5	355	4

prune17.0ms

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

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* d1 d2) (* (+ d3 5.0) d1))
0.0b	(* (+ d3 5.0) d1)
0.0b	(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 45

Calls

3 calls:

4.0ms	(+ (* d1 d2) (* (+ d3 5.0) d1))
6.0ms	(* (+ d3 5.0) d1)
9.0ms	(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

series20.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(+ (* d1 d2) (* (+ d3 5.0) d1))
4.0ms	(* (+ d3 5.0) d1)
8.0ms	(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	271	315
1	1079	281
2	5002	270

prune71.0ms

Filtered

38 candidates to 54 candidates (-42.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	51	3	54
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	53	3	56

Merged error: 0b

Counts

56 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* d1 d2) (* d1 (+ 32.0 (+ d3 5.0))))
0.0b	(* d1 (+ 32.0 (+ d3 5.0)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 38

Calls

2 calls:

4.0ms	(+ (* d1 d2) (* d1 (+ 32.0 (+ d3 5.0))))
7.0ms	(* d1 (+ 32.0 (+ d3 5.0)))

series15.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ (* d1 d2) (* d1 (+ 32.0 (+ d3 5.0))))
7.0ms	(* d1 (+ 32.0 (+ d3 5.0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	237	229
1	1183	201
2	5002	199

prune64.0ms

Filtered

31 candidates to 44 candidates (-41.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	43	1	44
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	44	3	47

Merged error: 0b

Counts

47 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* d1 d2) (* (sqrt (+ d3 5.0)) (* (sqrt (+ d3 5.0)) d1)))
0.0b	(+ (+ (* d1 d2) (* (sqrt (+ d3 5.0)) (* (sqrt (+ d3 5.0)) d1))) (* d1 32.0))
0.2b	(* (sqrt (+ d3 5.0)) d1)
0.3b	(* (sqrt (+ d3 5.0)) (* (sqrt (+ d3 5.0)) d1))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

14×	`sqrt-div` `associate-l`
13×	`add-sqr-sqrt` `*-un-lft-identity`
11×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
10×	`associate-*l/`
9×	`add-cube-cbrt` `flip3-+` `sqrt-prod` `flip-+`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `sum-log` `cbrt-unprod`
2×	`+-commutative` `associate-r/` `-commutative` `distribute-lft-out` `unswap-sqr`
1×	`associate-+l+`

Counts

4 → 79

Calls

4 calls:

6.0ms	(+ (* d1 d2) (* (sqrt (+ d3 5.0)) (* (sqrt (+ d3 5.0)) d1)))
5.0ms	(+ (+ (* d1 d2) (* (sqrt (+ d3 5.0)) (* (sqrt (+ d3 5.0)) d1))) (* d1 32.0))
6.0ms	(* (sqrt (+ d3 5.0)) d1)
11.0ms	(* (sqrt (+ d3 5.0)) (* (sqrt (+ d3 5.0)) d1))

series42.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (* d1 d2) (* (sqrt (+ d3 5.0)) (* (sqrt (+ d3 5.0)) d1)))
8.0ms	(+ (+ (* d1 d2) (* (sqrt (+ d3 5.0)) (* (sqrt (+ d3 5.0)) d1))) (* d1 32.0))
18.0ms	(* (sqrt (+ d3 5.0)) d1)
8.0ms	(* (sqrt (+ d3 5.0)) (* (sqrt (+ d3 5.0)) d1))

simplify66.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	476	766
1	1812	642
2	5001	615

prune185.0ms

Filtered

62 candidates to 91 candidates (-46.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	91	3	94

Merged error: 0b

Counts

94 → 3

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(* d1 (+ d2 (+ 32.0 (+ d3 5.0))))
0.3b	(pow (* d1 (+ d2 (+ 32.0 (+ d3 5.0)))) 3)
34.3b	(cbrt (pow (* d1 (+ d2 (+ 32.0 (+ d3 5.0)))) 3))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
9×	`add-sqr-sqrt`
8×	`pow1` `add-exp-log` `cbrt-prod` `add-cbrt-cube`
7×	`add-cube-cbrt`
6×	`associate-r/` `associate-r*` `distribute-lft-out`
4×	`cube-div`
3×	`pow-unpow` `flip3-+` `associate-l` `flip-+` `add-log-exp`
2×	`cube-mult` `unpow-prod-down` `cbrt-div` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `pow1/3` `*-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

3 → 68

Calls

3 calls:

10.0ms	(* d1 (+ d2 (+ 32.0 (+ d3 5.0))))
13.0ms	(pow (* d1 (+ d2 (+ 32.0 (+ d3 5.0)))) 3)
5.0ms	(cbrt (pow (* d1 (+ d2 (+ 32.0 (+ d3 5.0)))) 3))

series36.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(* d1 (+ d2 (+ 32.0 (+ d3 5.0))))
19.0ms	(pow (* d1 (+ d2 (+ 32.0 (+ d3 5.0)))) 3)
10.0ms	(cbrt (pow (* d1 (+ d2 (+ 32.0 (+ d3 5.0)))) 3))

simplify59.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	357	492
1	1882	458
2	5003	457

prune132.0ms

Filtered

52 candidates to 77 candidates (-48.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	77	3	80

Merged error: 0b

Counts

80 → 3

regimes293.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	5
1	15	5

end0.0ms

analyze487.0ms

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%	56.9%	2.5%	9
45.2%	50.7%	4%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	11%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

sample652.0ms

Algorithm

intervals

Results

392.0ms	7955×	body	80	valid
32.0ms	680×	body	80	invalid
3.0ms	17×	body	640	valid
2.0ms	10×	body	1280	valid
1.0ms	11×	body	160	valid
1.0ms	7×	body	320	valid

Details

analyze545.0ms

sample20.0ms

simplify17.0ms

prune17.0ms

localize9.0ms

rewrite19.0ms

series20.0ms

simplify51.0ms

prune71.0ms

localize7.0ms

rewrite12.0ms

series15.0ms

simplify42.0ms

prune64.0ms

localize12.0ms

rewrite33.0ms

series42.0ms

simplify66.0ms

prune185.0ms

localize21.0ms

rewrite29.0ms

series36.0ms

simplify59.0ms

prune132.0ms

regimes293.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze487.0ms

sample652.0ms

Profiling