Details

sample119.0ms

Algorithm

intervals

Results

38.0ms	86×	body	1280	valid
26.0ms	91×	body	640	valid
20.0ms	266×	body	80	valid
10.0ms	53×	body	320	valid
4.0ms	28×	body	160	valid

simplify186.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	9
1	41	9
2	83	9
3	173	9
4	284	9
5	556	9
6	919	9
7	1220	9
8	3918	9
9	5002	9

prune3.0ms

Filtered

1 candidates to 0 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: 17.5b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2.0))) U)
0.0b	(* J (- (exp l) (exp (neg l))))
0.0b	(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2.0)))
6.2b	(- (exp l) (exp (neg l)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
8×	`associate-r` `add-log-exp`
7×	`add-cube-cbrt`
4×	`associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`sub-neg` `flip3--` `flip--`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-l/` `-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `flip3-+` `diff-log` `sum-log` `flip-+` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

10.0ms	(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2.0))) U)
8.0ms	(* J (- (exp l) (exp (neg l))))
10.0ms	(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2.0)))
5.0ms	(- (exp l) (exp (neg l)))

series395.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2.0))) U)
53.0ms	(* J (- (exp l) (exp (neg l))))
93.0ms	(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2.0)))
40.0ms	(- (exp l) (exp (neg l)))

simplify45.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	354	755
1	1430	660
2	5001	652

prune220.0ms

Filtered

83 candidates to 58 candidates (69.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	80	3	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	3	84

Merged error: 0.0b

Counts

84 → 3

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))) U)
0.1b	(* 1/60 (pow l 5))
0.1b	(* 1/3 (pow l 3))
0.1b	(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`associate-r`
19×	`add-exp-log`
13×	`add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `prod-exp`
8×	`unpow-prod-down`
7×	`associate-l` `unswap-sqr`
6×	`add-log-exp`
5×	`cbrt-unprod`
4×	`cube-prod` `sqr-pow`
3×	`pow-prod-down` `*-commutative`
2×	`pow-to-exp` `flip3-+` `associate-r/` `associate-l/` `pow-exp` `flip-+`
1×	`+-commutative` `cube-mult` `unpow3` `sum-log`

Counts

4 → 87

Calls

4 calls:

12.0ms	(+ (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))) U)
6.0ms	(* 1/60 (pow l 5))
6.0ms	(* 1/3 (pow l 3))
11.0ms	(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))

series604.0ms

Counts

4 → 12

Calls

4 calls:

345.0ms	(+ (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))) U)
53.0ms	(* 1/60 (pow l 5))
36.0ms	(* 1/3 (pow l 3))
169.0ms	(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))

simplify69.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	465	784
1	2234	701
2	5003	701

prune288.0ms

Filtered

99 candidates to 65 candidates (65.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	96	6	102

Merged error: 0.0b

Counts

102 → 6

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 1/60 (pow l 5))
0.1b	(* J (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))
0.1b	(* 1/3 (pow l 3))
0.1b	(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
23×	`associate-r`
21×	`add-exp-log`
15×	`add-cbrt-cube`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-l`
11×	`pow1`
10×	`prod-exp`
8×	`unpow-prod-down` `unswap-sqr`
6×	`cbrt-unprod`
4×	`cube-prod` `pow-prod-down` `associate-l/` `-commutative` `add-log-exp` `sqr-pow`
2×	`pow-to-exp` `flip3-+` `associate-*r/` `pow-exp` `flip-+`
1×	`cube-mult` `unpow3`

Counts

4 → 96

Calls

4 calls:

6.0ms	(* 1/60 (pow l 5))
12.0ms	(* J (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))
7.0ms	(* 1/3 (pow l 3))
11.0ms	(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))

series355.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* 1/60 (pow l 5))
172.0ms	(* J (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))
36.0ms	(* 1/3 (pow l 3))
93.0ms	(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))

simplify70.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	444	856
1	2079	731
2	5001	731

prune307.0ms

Filtered

108 candidates to 69 candidates (63.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	108	6	114

Merged error: 0b

Counts

114 → 6

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 1/3 (pow l 3))
0.1b	(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))
0.1b	(pow (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))) 3)
39.6b	(cbrt (pow (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))) 3))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
15×	`associate-r`
14×	`add-exp-log`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-cbrt-cube`
9×	`pow1`
8×	`cbrt-prod`
6×	`unpow-prod-down` `cube-prod` `associate-l` `associate-*l/`
5×	`prod-exp` `unswap-sqr`
4×	`cube-div` `add-log-exp` `sqr-pow`
3×	`cube-mult` `pow-unpow` `flip3-+` `unpow3` `pow-exp` `cbrt-unprod` `flip-+`
2×	`pow-to-exp` `cbrt-div` `pow-pow` `pow-prod-down` `*-commutative` `rem-cube-cbrt`
1×	`pow1/3` `rem-cbrt-cube`

Counts

4 → 94

Calls

4 calls:

7.0ms	(* 1/3 (pow l 3))
11.0ms	(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))
11.0ms	(pow (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))) 3)
4.0ms	(cbrt (pow (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))) 3))

series362.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* 1/3 (pow l 3))
92.0ms	(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))
128.0ms	(pow (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))) 3)
105.0ms	(cbrt (pow (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))) 3))

simplify76.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	456	1094
1	2229	1030
2	5003	1028

prune345.0ms

Filtered

106 candidates to 72 candidates (67.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	106	6	112

Merged error: 0b

Counts

112 → 6

regimes252.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	12
1	30	12

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.3s	2767×	body	1280	valid
763.0ms	2577×	body	640	valid
562.0ms	8540×	body	80	valid
288.0ms	1444×	body	320	valid
101.0ms	733×	body	160	valid

Details

sample119.0ms

simplify186.0ms

prune3.0ms

localize13.0ms

rewrite35.0ms

series395.0ms

simplify45.0ms

prune220.0ms

localize21.0ms

rewrite38.0ms

series604.0ms

simplify69.0ms

prune288.0ms

localize22.0ms

rewrite38.0ms

series355.0ms

simplify70.0ms

prune307.0ms

localize21.0ms

rewrite35.0ms

series362.0ms

simplify76.0ms

prune345.0ms

regimes252.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.5s

Profiling