Details

analyze330.0ms

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

sample19.0ms

Algorithm

intervals

Results

10.0ms	255×	body	80	valid
1.0ms	21×	body	80	invalid
0.0ms	1×	body	320	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	135	9
1	135	9

prune10.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

7.0ms	(+ d2 (+ d3 (+ 5.0 32.0)))
10.0ms	(* d1 (+ d2 (+ d3 (+ 5.0 32.0))))

series10.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(+ d2 (+ d3 (+ 5.0 32.0)))
7.0ms	(* d1 (+ d2 (+ d3 (+ 5.0 32.0))))

simplify45.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5061	446

prune55.0ms

Filtered

28 candidates to 48 candidates (-71.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	46	4	50

Merged error: 0b

Counts

50 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite16.0ms

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:

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

series20.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify42.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5798	502

prune64.0ms

Filtered

39 candidates to 54 candidates (-38.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	54	4	58

Merged error: 0b

Counts

58 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

47×	`*-un-lft-identity`
25×	`sqrt-prod`
24×	`distribute-lft-out`
18×	`sqrt-div` `associate-r`
17×	`add-sqr-sqrt`
13×	`pow1`
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 → 95

Calls

4 calls:

7.0ms	(sqrt (+ d2 (+ d3 (+ 5.0 32.0))))
7.0ms	(sqrt (+ d2 (+ d3 (+ 5.0 32.0))))
10.0ms	(* d1 (sqrt (+ d2 (+ d3 (+ 5.0 32.0)))))
21.0ms	(* (* d1 (sqrt (+ d2 (+ d3 (+ 5.0 32.0))))) (sqrt (+ d2 (+ d3 (+ 5.0 32.0)))))

series35.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(sqrt (+ d2 (+ d3 (+ 5.0 32.0))))
6.0ms	(sqrt (+ d2 (+ d3 (+ 5.0 32.0))))
14.0ms	(* d1 (sqrt (+ d2 (+ d3 (+ 5.0 32.0)))))
7.0ms	(* (* d1 (sqrt (+ d2 (+ d3 (+ 5.0 32.0))))) (sqrt (+ d2 (+ d3 (+ 5.0 32.0)))))

simplify66.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4923	1420
1	4923	1420

prune144.0ms

Filtered

66 candidates to 107 candidates (-62.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	107	4	111

Merged error: 0b

Counts

111 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ d2 (+ d3 (+ 5.0 32.0)))
0.0b	(* d1 (+ d2 (+ d3 (+ 5.0 32.0))))
0.2b	(pow (* d1 (+ d2 (+ d3 (+ 5.0 32.0)))) 3)
36.7b	(cbrt (pow (* d1 (+ d2 (+ d3 (+ 5.0 32.0)))) 3))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
13×	`add-log-exp`
12×	`distribute-lft-out`
10×	`add-sqr-sqrt`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`cbrt-prod` `add-cube-cbrt`
6×	`associate-r/` `associate-r*` `sum-log`
4×	`cube-div` `flip3-+` `flip-+`
3×	`pow-unpow` `associate-l`
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×	`+-commutative` `distribute-rgt-in` `pow-to-exp` `associate-+r+` `distribute-lft-in` `pow1/3` `*-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

9.0ms	(+ d2 (+ d3 (+ 5.0 32.0)))
9.0ms	(* d1 (+ d2 (+ d3 (+ 5.0 32.0))))
10.0ms	(pow (* d1 (+ d2 (+ d3 (+ 5.0 32.0)))) 3)
2.0ms	(cbrt (pow (* d1 (+ d2 (+ d3 (+ 5.0 32.0)))) 3))

series38.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ d2 (+ d3 (+ 5.0 32.0)))
7.0ms	(* d1 (+ d2 (+ d3 (+ 5.0 32.0))))
17.0ms	(pow (* d1 (+ d2 (+ d3 (+ 5.0 32.0)))) 3)
11.0ms	(cbrt (pow (* d1 (+ d2 (+ d3 (+ 5.0 32.0)))) 3))

simplify47.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4927	1076
1	4927	1076

prune112.0ms

Filtered

61 candidates to 97 candidates (-59.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	97	4	101

Merged error: 0b

Counts

101 → 4

regimes235.0ms

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	13	9
1	13	9

end0.0ms

analyze323.0ms

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

sample510.0ms

Algorithm

intervals

Results

307.0ms	7948×	body	80	valid
25.0ms	676×	body	80	invalid
3.0ms	17×	body	640	valid
2.0ms	13×	body	1280	valid
1.0ms	14×	body	320	valid
1.0ms	8×	body	160	valid

Details

analyze330.0ms

sample19.0ms

simplify4.0ms

prune10.0ms

localize6.0ms

rewrite18.0ms

series10.0ms

simplify45.0ms

prune55.0ms

localize8.0ms

rewrite16.0ms

series20.0ms

simplify42.0ms

prune64.0ms

localize9.0ms

rewrite48.0ms

series35.0ms

simplify66.0ms

prune144.0ms

localize10.0ms

rewrite33.0ms

series38.0ms

simplify47.0ms

prune112.0ms

regimes235.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze323.0ms

sample510.0ms

Profiling