Details

analyze305.0ms

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	255×	body	80	valid
1.0ms	32×	body	80	invalid
0.0ms	1×	body	1280	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	135	9
1	135	9

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
6×	`associate-r` `distribute-lft-out`
5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
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 → 25

Calls

1 calls:

10.0ms

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

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

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

simplify44.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4943	267
1	4943	267

prune37.0ms

Filtered

17 candidates to 28 candidates (-64.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	26	2	28
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	26	4	30

Merged error: 0b

Counts

30 → 4

localize8.0ms

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))

rewrite18.0ms

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:

3.0ms	(+ (* d1 d2) (* (+ d3 5.0) d1))
7.0ms	(* (+ d3 5.0) d1)
6.0ms	(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

series20.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify41.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5798	502

prune65.0ms

Filtered

40 candidates to 54 candidates (-35.0%)

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

localize8.0ms

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))))
13.0ms	(* d1 (sqrt (+ d2 (+ d3 (+ 5.0 32.0)))))
18.0ms	(* (* d1 (sqrt (+ d2 (+ d3 (+ 5.0 32.0))))) (sqrt (+ d2 (+ d3 (+ 5.0 32.0)))))

series34.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(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)))))

simplify63.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4923	1420
1	4923	1420

prune138.0ms

Filtered

67 candidates to 107 candidates (-59.7%)

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

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (+ d2 (+ d3 (+ 5.0 32.0))) (sqrt d1))
0.2b	(* (sqrt d1) (* (+ d2 (+ d3 (+ 5.0 32.0))) (sqrt d1)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
12×	`associate-l`
11×	`add-sqr-sqrt`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt` `associate-r` `sqrt-prod`
6×	`distribute-lft-out`
4×	`pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
2×	`flip3-+` `associate-r/` `-commutative` `flip-+` `add-log-exp` `unswap-sqr`

Counts

2 → 50

Calls

2 calls:

10.0ms	(* (+ d2 (+ d3 (+ 5.0 32.0))) (sqrt d1))
12.0ms	(* (sqrt d1) (* (+ d2 (+ d3 (+ 5.0 32.0))) (sqrt d1)))

series25.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(* (+ d2 (+ d3 (+ 5.0 32.0))) (sqrt d1))
12.0ms	(* (sqrt d1) (* (+ d2 (+ d3 (+ 5.0 32.0))) (sqrt d1)))

simplify50.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4931	637
1	4931	637

prune55.0ms

Filtered

39 candidates to 56 candidates (-43.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	56	4	60

Merged error: 0b

Counts

60 → 4

regimes233.0ms

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

analyze300.0ms

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

sample482.0ms

Algorithm

intervals

Results

280.0ms	7954×	body	80	valid
26.0ms	679×	body	80	invalid
3.0ms	23×	body	640	valid
2.0ms	11×	body	1280	valid
1.0ms	10×	body	320	valid
0.0ms	2×	body	160	valid

Details

analyze305.0ms

sample20.0ms

simplify4.0ms

prune9.0ms

localize6.0ms

rewrite10.0ms

series9.0ms

simplify44.0ms

prune37.0ms

localize8.0ms

rewrite18.0ms

series20.0ms

simplify41.0ms

prune65.0ms

localize8.0ms

rewrite48.0ms

series34.0ms

simplify63.0ms

prune138.0ms

localize8.0ms

rewrite24.0ms

series25.0ms

simplify50.0ms

prune55.0ms

regimes233.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze300.0ms

sample482.0ms

Profiling