Details

sample125.0ms

Algorithm

intervals

Results

38.0ms	82×	body	1280	valid
26.0ms	91×	body	640	valid
15.0ms	259×	body	80	valid
9.0ms	47×	body	320	valid
2.0ms	18×	body	160	valid

simplify188.0ms

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

prune4.0ms

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: 18.5b

Counts

2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2.0)))
0.2b	(* J (- (exp l) (exp (neg l))))
4.5b	(- (exp l) (exp (neg l)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
8×	`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×	`distribute-rgt-in` `distribute-lft-in` `associate-l/` `-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `unswap-sqr`

Counts

3 → 60

Calls

3 calls:

9.0ms	(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2.0)))
10.0ms	(* J (- (exp l) (exp (neg l))))
5.0ms	(- (exp l) (exp (neg l)))

series37.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2.0)))
11.0ms	(* J (- (exp l) (exp (neg l))))
5.0ms	(- (exp l) (exp (neg l)))

simplify38.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	265	566
1	1128	479
2	5001	473

prune93.0ms

Filtered

47 candidates to 69 candidates (-46.8%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	1	70

Merged error: 0.3b

Counts

70 → 1

localize17.0ms

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)))

rewrite36.0ms

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:

11.0ms	(+ (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))) U)
5.0ms	(* 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)))

series116.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(+ (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))) U)
4.0ms	(* 1/60 (pow l 5))
4.0ms	(* 1/3 (pow l 3))
39.0ms	(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))

simplify68.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (13.0ms)

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

prune219.0ms

Filtered

65 candidates to 99 candidates (-52.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	93	6	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	6	100

Merged error: 0.3b

Counts

100 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

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))
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))))
10.0ms	(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))

series61.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* 1/60 (pow l 5))
4.0ms	(* 1/3 (pow l 3))
37.0ms	(* J (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))
16.0ms	(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))

simplify68.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (13.0ms)

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

prune229.0ms

Filtered

70 candidates to 108 candidates (-54.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	105	3	108
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	106	8	114

Merged error: 0.2b

Counts

114 → 8

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (* 1/60 (pow l 5))) (cbrt (* 1/60 (pow l 5))))
27.7b	(cbrt (* 1/60 (pow l 5)))
27.7b	(cbrt (* 1/60 (pow l 5)))
27.7b	(cbrt (* 1/60 (pow l 5)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

6.0ms	(* (cbrt (* 1/60 (pow l 5))) (cbrt (* 1/60 (pow l 5))))
3.0ms	(cbrt (* 1/60 (pow l 5)))
3.0ms	(cbrt (* 1/60 (pow l 5)))
4.0ms	(cbrt (* 1/60 (pow l 5)))

series116.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (cbrt (* 1/60 (pow l 5))) (cbrt (* 1/60 (pow l 5))))
30.0ms	(cbrt (* 1/60 (pow l 5)))
27.0ms	(cbrt (* 1/60 (pow l 5)))
28.0ms	(cbrt (* 1/60 (pow l 5)))

simplify83.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	177	437
1	533	384
2	2538	308
3	5001	300

prune186.0ms

Filtered

49 candidates to 70 candidates (-42.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	70	8	78

Merged error: 0.2b

Counts

78 → 8

regimes521.0ms

Accuracy

0% (0.0b remaining)

Error of 0.4b against oracle of 0.4b 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

sample3.7s

Algorithm

intervals

Results

1.2s	2710×	body	1280	valid
770.0ms	2603×	body	640	valid
517.0ms	8349×	body	80	valid
283.0ms	1454×	body	320	valid
107.0ms	816×	body	160	valid

Details

sample125.0ms

simplify188.0ms

prune4.0ms

localize13.0ms

rewrite26.0ms

series37.0ms

simplify38.0ms

prune93.0ms

localize17.0ms

rewrite36.0ms

series116.0ms

simplify68.0ms

prune219.0ms

localize18.0ms

rewrite35.0ms

series61.0ms

simplify68.0ms

prune229.0ms

localize24.0ms

rewrite17.0ms

series116.0ms

simplify83.0ms

prune186.0ms

regimes521.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.7s

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