Details

analyze726.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
18.7%	81.1%	0.2%	10
26.5%	71.5%	1.9%	11
28.8%	66%	5.2%	12
32.7%	58.7%	8.5%	13
41.9%	48.4%	9.7%	14

sample24.0ms

Algorithm

intervals

Results

9.0ms	250×	body	80	valid
2.0ms	60×	body	80	invalid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	399	13
1	399	13

prune9.0ms

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: 0.3b

Counts

2 → 1

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))
0.3b	(* x (+ (* (+ y z) 2) t))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

9.0ms	(+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))
8.0ms	(* x (+ (* (+ y z) 2) t))

series27.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))
11.0ms	(* x (+ (* (+ y z) 2) t))

simplify34.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5020	519

prune63.0ms

Filtered

31 candidates to 41 candidates (-32.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	4	42

Merged error: 0.3b

Counts

42 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* (+ y z) 2) t)) (cbrt (+ (* (+ y z) 2) t)))
0.7b	(cbrt (+ (* (+ y z) 2) t))
0.7b	(cbrt (+ (* (+ y z) 2) t))
0.7b	(cbrt (+ (* (+ y z) 2) t))

rewrite36.0ms

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:

15.0ms	(* (cbrt (+ (* (+ y z) 2) t)) (cbrt (+ (* (+ y z) 2) t)))
6.0ms	(cbrt (+ (* (+ y z) 2) t))
8.0ms	(cbrt (+ (* (+ y z) 2) t))
5.0ms	(cbrt (+ (* (+ y z) 2) t))

series189.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (cbrt (+ (* (+ y z) 2) t)) (cbrt (+ (* (+ y z) 2) t)))
42.0ms	(cbrt (+ (* (+ y z) 2) t))
46.0ms	(cbrt (+ (* (+ y z) 2) t))
43.0ms	(cbrt (+ (* (+ y z) 2) t))

simplify62.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4710	1407
1	4710	1407

prune196.0ms

Filtered

69 candidates to 99 candidates (-43.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	97	6	103

Merged error: 0.3b

Counts

103 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (+ (* (+ y z) 2) t))
0.7b	(cbrt (+ (* (+ y z) 2) t))
0.7b	(cbrt (+ (* (+ y z) 2) t))
0.7b	(cbrt (+ (* (+ y z) 2) t))

rewrite23.0ms

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:

5.0ms	(cbrt (+ (* (+ y z) 2) t))
5.0ms	(cbrt (+ (* (+ y z) 2) t))
6.0ms	(cbrt (+ (* (+ y z) 2) t))
6.0ms	(cbrt (+ (* (+ y z) 2) t))

series175.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(cbrt (+ (* (+ y z) 2) t))
43.0ms	(cbrt (+ (* (+ y z) 2) t))
45.0ms	(cbrt (+ (* (+ y z) 2) t))
42.0ms	(cbrt (+ (* (+ y z) 2) t))

simplify45.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4856	804
1	4856	804

prune211.0ms

Filtered

56 candidates to 64 candidates (-14.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	64	6	70

Merged error: 0.3b

Counts

70 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (sqrt (+ (* (+ y z) 2) t)))
0.3b	(cbrt (sqrt (+ (* (+ y z) 2) t)))
0.3b	(cbrt (sqrt (+ (* (+ y z) 2) t)))
0.7b	(cbrt (+ (* (+ y z) 2) t))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

6.0ms	(cbrt (sqrt (+ (* (+ y z) 2) t)))
6.0ms	(cbrt (sqrt (+ (* (+ y z) 2) t)))
6.0ms	(cbrt (sqrt (+ (* (+ y z) 2) t)))
5.0ms	(cbrt (+ (* (+ y z) 2) t))

series159.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(cbrt (sqrt (+ (* (+ y z) 2) t)))
37.0ms	(cbrt (sqrt (+ (* (+ y z) 2) t)))
37.0ms	(cbrt (sqrt (+ (* (+ y z) 2) t)))
45.0ms	(cbrt (+ (* (+ y z) 2) t))

simplify75.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4881	1070
1	4881	1070

prune269.0ms

Filtered

59 candidates to 73 candidates (-23.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	73	6	79

Merged error: 0.3b

Counts

79 → 6

regimes278.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	13
1	18	13

end0.0ms

analyze717.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
18.7%	81.1%	0.2%	10
26.5%	71.5%	1.9%	11
28.8%	66%	5.2%	12
32.7%	58.7%	8.5%	13
41.9%	48.4%	9.7%	14

sample653.0ms

Algorithm

intervals

Results

298.0ms	7687×	body	80	valid
71.0ms	1873×	body	80	invalid
17.0ms	100×	body	1280	valid
16.0ms	118×	body	640	valid
7.0ms	65×	body	320	valid
2.0ms	30×	body	160	valid

Details

analyze726.0ms

sample24.0ms

simplify7.0ms

prune9.0ms

localize13.0ms

rewrite18.0ms

series27.0ms

simplify34.0ms

prune63.0ms

localize13.0ms

rewrite36.0ms

series189.0ms

simplify62.0ms

prune196.0ms

localize17.0ms

rewrite23.0ms

series175.0ms

simplify45.0ms

prune211.0ms

localize17.0ms

rewrite26.0ms

series159.0ms

simplify75.0ms

prune269.0ms

regimes278.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze717.0ms

sample653.0ms

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