Details

analyze501.0ms

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

sample126.0ms

Algorithm

intervals

Results

22.0ms	34×	body	1280	valid
16.0ms	47×	body	640	valid
16.0ms	42×	body	1280	invalid
10.0ms	40×	body	640	invalid
9.0ms	135×	body	80	valid
8.0ms	121×	body	80	invalid
6.0ms	30×	body	320	invalid
5.0ms	23×	body	320	valid
2.0ms	17×	body	160	valid
1.0ms	10×	body	160	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	15
1	28	15

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	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)))
0.0b	(* J (- (exp l) (exp (neg l))))
6.4b	(- (exp l) (exp (neg l)))

rewrite22.0ms

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×	`associate-l/` `-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`distribute-rgt-in` `distribute-lft-in` `diff-log` `unswap-sqr`

Counts

3 → 57

Calls

3 calls:

8.0ms	(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2.0)))
7.0ms	(* J (- (exp l) (exp (neg l))))
5.0ms	(- (exp l) (exp (neg l)))

series39.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2.0)))
13.0ms	(* J (- (exp l) (exp (neg l))))
5.0ms	(- (exp l) (exp (neg l)))

simplify58.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4882	713
1	4882	713

prune101.0ms

Filtered

48 candidates to 66 candidates (-37.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	2	67

Merged error: 0.1b

Counts

67 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

9.0ms	(* J (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))))
5.0ms	(* 1/60 (pow l 5))
10.0ms	(* (* J (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5)))))) (cos (/ K 2.0)))
6.0ms	(* 1/3 (pow l 3))

series87.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* J (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))))
4.0ms	(* 1/60 (pow l 5))
56.0ms	(* (* J (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5)))))) (cos (/ K 2.0)))
4.0ms	(* 1/3 (pow l 3))

simplify46.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4899	1378
1	4899	1378

prune237.0ms

Filtered

71 candidates to 112 candidates (-57.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	105	7	112
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	105	9	114

Merged error: 0.0b

Counts

114 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
23×	`associate-r`
21×	`add-exp-log`
19×	`*-un-lft-identity`
15×	`add-cbrt-cube`
14×	`add-cube-cbrt` `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`
3×	`distribute-lft-out`
2×	`pow-to-exp` `flip3-+` `associate-*r/` `pow-exp` `flip-+`
1×	`cube-mult` `unpow3`

Counts

4 → 98

Calls

4 calls:

5.0ms	(* 1/60 (pow l 5))
10.0ms	(* J (* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (cos (/ K 2.0))))
9.0ms	(* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (cos (/ K 2.0)))
6.0ms	(* 1/3 (pow l 3))

series59.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* 1/60 (pow l 5))
35.0ms	(* J (* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (cos (/ K 2.0))))
13.0ms	(* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (cos (/ K 2.0)))
6.0ms	(* 1/3 (pow l 3))

simplify50.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5034	1452

prune237.0ms

Filtered

71 candidates to 110 candidates (-54.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	2	5	7
Picked	0	1	1
Done	1	0	1
Total	111	8	119

Merged error: 0b

Counts

119 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

5.0ms	(* 1/60 (pow l 5))
11.0ms	(* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (* (cos (/ K 2.0)) J))
3.0ms	(* (cos (/ K 2.0)) J)
6.0ms	(* 1/3 (pow l 3))

series42.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* 1/60 (pow l 5))
27.0ms	(* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (* (cos (/ K 2.0)) J))
7.0ms	(* (cos (/ K 2.0)) J)
4.0ms	(* 1/3 (pow l 3))

simplify37.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4971	1106
1	4971	1106

prune196.0ms

Filtered

70 candidates to 108 candidates (-54.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	108	8	116

Merged error: 0b

Counts

116 → 8

regimes591.0ms

Accuracy

0% (0.1b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	24
1	32	24

end0.0ms

analyze469.0ms

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

sample3.3s

Algorithm

intervals

Results

704.0ms	1253×	body	1280	valid
563.0ms	1464×	body	1280	invalid
443.0ms	1335×	body	640	valid
320.0ms	1185×	body	640	invalid
274.0ms	4178×	body	80	valid
207.0ms	3174×	body	80	invalid
173.0ms	822×	body	320	valid
126.0ms	604×	body	320	invalid
54.0ms	412×	body	160	valid
40.0ms	306×	body	160	invalid

Details

analyze501.0ms

sample126.0ms

simplify3.0ms

prune8.0ms

localize13.0ms

rewrite22.0ms

series39.0ms

simplify58.0ms

prune101.0ms

localize17.0ms

rewrite33.0ms

series87.0ms

simplify46.0ms

prune237.0ms

localize17.0ms

rewrite33.0ms

series59.0ms

simplify50.0ms

prune237.0ms

localize20.0ms

rewrite28.0ms

series42.0ms

simplify37.0ms

prune196.0ms

regimes591.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze469.0ms

sample3.3s

Profiling