Details

analyze1.3s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.6%	98.1%	0.3%	13
3.1%	96.6%	0.3%	14

sample69.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	11
1	24	11

prune11.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* z t) (* a b))
0.0b	(+ (* x y) (+ (* z t) (* a b)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+r+`

Counts

2 → 24

Calls

2 calls:

4.0ms	(+ (* z t) (* a b))
6.0ms	(+ (* x y) (+ (* z t) (* a b)))

series29.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(+ (* z t) (* a b))
18.0ms	(+ (* x y) (+ (* z t) (* a b)))

simplify44.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4986	369
1	4986	369

prune71.0ms

Filtered

23 candidates to 30 candidates (-30.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	27	3	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	4	31

Merged error: 0.0b

Counts

31 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* z t) (* a b))) (cbrt (+ (* z t) (* a b))))
3.2b	(cbrt (+ (* z t) (* a b)))
3.2b	(cbrt (+ (* z t) (* a b)))
3.2b	(cbrt (+ (* z t) (* a b)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

10.0ms	(* (cbrt (+ (* z t) (* a b))) (cbrt (+ (* z t) (* a b))))
4.0ms	(cbrt (+ (* z t) (* a b)))
3.0ms	(cbrt (+ (* z t) (* a b)))
4.0ms	(cbrt (+ (* z t) (* a b)))

series149.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (cbrt (+ (* z t) (* a b))) (cbrt (+ (* z t) (* a b))))
34.0ms	(cbrt (+ (* z t) (* a b)))
36.0ms	(cbrt (+ (* z t) (* a b)))
34.0ms	(cbrt (+ (* z t) (* a b)))

simplify63.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4920	1443
1	4920	1443

prune138.0ms

Filtered

74 candidates to 99 candidates (-33.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	99	4	103

Merged error: 0.0b

Counts

103 → 4

localize23.0ms

Local error

Found 4 expressions with local error:

3.2b	(cbrt (+ (* z t) (* a b)))
3.2b	(cbrt (+ (* z t) (* a b)))
3.2b	(cbrt (+ (* z t) (* a b)))
3.2b	(cbrt (+ (* z t) (* a b)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

3.0ms	(cbrt (+ (* z t) (* a b)))
3.0ms	(cbrt (+ (* z t) (* a b)))
4.0ms	(cbrt (+ (* z t) (* a b)))
4.0ms	(cbrt (+ (* z t) (* a b)))

series159.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(cbrt (+ (* z t) (* a b)))
52.0ms	(cbrt (+ (* z t) (* a b)))
35.0ms	(cbrt (+ (* z t) (* a b)))
36.0ms	(cbrt (+ (* z t) (* a b)))

simplify49.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4992	812
1	4992	812

prune121.0ms

Filtered

52 candidates to 64 candidates (-23.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	63	5	68

Merged error: 0.0b

Counts

68 → 5

localize27.0ms

Local error

Found 4 expressions with local error:

2.7b	(sqrt (+ (* z t) (* a b)))
3.2b	(cbrt (+ (* z t) (* a b)))
3.2b	(cbrt (+ (* z t) (* a b)))
3.2b	(cbrt (+ (* z t) (* a b)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
5×	`pow1`
4×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
3×	`pow1/3` `sqrt-prod`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 54

Calls

4 calls:

4.0ms	(sqrt (+ (* z t) (* a b)))
3.0ms	(cbrt (+ (* z t) (* a b)))
4.0ms	(cbrt (+ (* z t) (* a b)))
4.0ms	(cbrt (+ (* z t) (* a b)))

series121.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(sqrt (+ (* z t) (* a b)))
34.0ms	(cbrt (+ (* z t) (* a b)))
34.0ms	(cbrt (+ (* z t) (* a b)))
36.0ms	(cbrt (+ (* z t) (* a b)))

simplify43.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5503	850

prune120.0ms

Filtered

57 candidates to 66 candidates (-15.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	66	5	71

Merged error: 0.0b

Counts

71 → 5

regimes911.0ms

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	16	11
1	16	11

end0.0ms

sample2.1s

Algorithm

intervals

Results

311.0ms

8000×

body

valid

Details

analyze1.3s

sample69.0ms

simplify3.0ms

prune11.0ms

localize10.0ms

rewrite10.0ms

series29.0ms

simplify44.0ms

prune71.0ms

localize17.0ms

rewrite23.0ms

series149.0ms

simplify63.0ms

prune138.0ms

localize23.0ms

rewrite15.0ms

series159.0ms

simplify49.0ms

prune121.0ms

localize27.0ms

rewrite15.0ms

series121.0ms

simplify43.0ms

prune120.0ms

regimes911.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.1s

Profiling