Details

analyze516.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
49.9%	49.9%	0.2%	2
49.9%	49.9%	0.2%	3
49.9%	49.9%	0.2%	4
49.9%	49.9%	0.2%	5
49.9%	49.9%	0.2%	6
49.9%	49.9%	0.2%	7
53%	46.8%	0.2%	8
57.7%	42.1%	0.2%	9
61.6%	38.2%	0.2%	10
63.5%	30%	6.4%	11
63.5%	30%	6.4%	12
67.6%	25.9%	6.4%	13
68.9%	24.7%	6.4%	14

sample117.0ms

Algorithm

intervals

Results

22.0ms	38×	body	1280	valid
20.0ms	48×	body	640	valid
15.0ms	54×	body	640	invalid
13.0ms	33×	body	1280	invalid
9.0ms	130×	body	80	valid
6.0ms	90×	body	80	invalid
5.0ms	25×	body	320	valid
4.0ms	21×	body	320	invalid
2.0ms	15×	body	160	valid
1.0ms	7×	body	160	invalid

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4815	15
1	4815	15

prune14.0ms

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: 18.2b

Counts

2 → 2

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(* J (- (exp l) (exp (neg l))))
0.0b	(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2.0)))
5.2b	(- (exp l) (exp (neg l)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
9×	`associate-r`
6×	`add-cube-cbrt`
5×	`add-log-exp`
4×	`associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`sub-neg` `flip3--` `flip--`
2×	`sinh-undef` `associate-l/` `-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`distribute-rgt-in` `distribute-lft-in` `diff-log` `unswap-sqr`

Counts

3 → 59

Calls

3 calls:

8.0ms	(* J (- (exp l) (exp (neg l))))
9.0ms	(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2.0)))
5.0ms	(- (exp l) (exp (neg l)))

series41.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(* J (- (exp l) (exp (neg l))))
25.0ms	(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2.0)))
5.0ms	(- (exp l) (exp (neg l)))

simplify59.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5019	714

prune95.0ms

Filtered

49 candidates to 68 candidates (-38.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	68	2	70

Merged error: 0.0b

Counts

70 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh l)
0.0b	(* J (* 2 (sinh l)))
0.0b	(+ (* (* J (* 2 (sinh l))) (cos (/ K 2.0))) U)
0.1b	(* (* J (* 2 (sinh l))) (cos (/ K 2.0)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

1.0ms	(sinh l)
5.0ms	(* J (* 2 (sinh l)))
8.0ms	(+ (* (* J (* 2 (sinh l))) (cos (/ K 2.0))) U)
7.0ms	(* (* J (* 2 (sinh l))) (cos (/ K 2.0)))

series95.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sinh l)
14.0ms	(* J (* 2 (sinh l)))
47.0ms	(+ (* (* J (* 2 (sinh l))) (cos (/ K 2.0))) U)
26.0ms	(* (* J (* 2 (sinh l))) (cos (/ K 2.0)))

simplify35.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5873	735

prune112.0ms

Filtered

50 candidates to 72 candidates (-44.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	68	4	72
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	69	5	74

Merged error: 0.0b

Counts

74 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh l)
0.0b	(+ (* J (* 2 (* (sinh l) (cos (/ K 2.0))))) U)
0.1b	(* J (* 2 (* (sinh l) (cos (/ K 2.0)))))
0.1b	(* (sinh l) (cos (/ K 2.0)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

1.0ms	(sinh l)
8.0ms	(+ (* J (* 2 (* (sinh l) (cos (/ K 2.0))))) U)
8.0ms	(* J (* 2 (* (sinh l) (cos (/ K 2.0)))))
5.0ms	(* (sinh l) (cos (/ K 2.0)))

series96.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sinh l)
45.0ms	(+ (* J (* 2 (* (sinh l) (cos (/ K 2.0))))) U)
27.0ms	(* J (* 2 (* (sinh l) (cos (/ K 2.0)))))
16.0ms	(* (sinh l) (cos (/ K 2.0)))

simplify59.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4942	783
1	4942	783

prune109.0ms

Filtered

54 candidates to 72 candidates (-33.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	70	2	72
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	71	6	77

Merged error: 0.0b

Counts

77 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh l)
0.0b	(+ (* (* (sinh l) 2) (* J (cos (* K 0.5)))) U)
0.1b	(* (* (sinh l) 2) (* J (cos (* K 0.5))))
0.2b	(* J (cos (* K 0.5)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`associate-r` `associate-l`
2×	`sinh-def` `associate-l/` `-commutative`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `unswap-sqr`

Counts

4 → 60

Calls

4 calls:

2.0ms	(sinh l)
9.0ms	(+ (* (* (sinh l) 2) (* J (cos (* K 0.5)))) U)
8.0ms	(* (* (sinh l) 2) (* J (cos (* K 0.5))))
7.0ms	(* J (cos (* K 0.5)))

series89.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sinh l)
48.0ms	(+ (* (* (sinh l) 2) (* J (cos (* K 0.5)))) U)
26.0ms	(* (* (sinh l) 2) (* J (cos (* K 0.5))))
7.0ms	(* J (cos (* K 0.5)))

simplify33.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5595	743

prune85.0ms

Filtered

49 candidates to 72 candidates (-46.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	72	6	78

Merged error: 0.0b

Counts

78 → 6

regimes407.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	13
1	17	13

end0.0ms

sample3.5s

Algorithm

intervals

Results

721.0ms	1221×	body	1280	valid
620.0ms	1511×	body	1280	invalid
467.0ms	1328×	body	640	valid
331.0ms	1181×	body	640	invalid
293.0ms	4198×	body	80	valid
224.0ms	3174×	body	80	invalid
182.0ms	798×	body	320	valid
121.0ms	611×	body	320	invalid
67.0ms	455×	body	160	valid
46.0ms	292×	body	160	invalid

Details

analyze516.0ms

sample117.0ms

simplify59.0ms

prune14.0ms

localize14.0ms

rewrite24.0ms

series41.0ms

simplify59.0ms

prune95.0ms

localize12.0ms

rewrite24.0ms

series95.0ms

simplify35.0ms

prune112.0ms

localize12.0ms

rewrite24.0ms

series96.0ms

simplify59.0ms

prune109.0ms

localize12.0ms

rewrite27.0ms

series89.0ms

simplify33.0ms

prune85.0ms

regimes407.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.5s

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