Details

analyze518.0ms

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

sample119.0ms

Algorithm

intervals

Results

27.0ms	45×	body	1280	valid
21.0ms	46×	body	1280	invalid
16.0ms	45×	body	640	valid
9.0ms	126×	body	80	valid
8.0ms	29×	body	640	invalid
7.0ms	93×	body	80	invalid
6.0ms	29×	body	320	valid
3.0ms	16×	body	320	invalid
2.0ms	11×	body	160	valid
2.0ms	12×	body	160	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	28	15
1	28	15

prune10.0ms

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: 19.5b

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	(* (- (exp l) (exp (neg l))) (cos (/ K 2.0)))
6.2b	(- (exp l) (exp (neg l)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

13.0ms	(* J (* (- (exp l) (exp (neg l))) (cos (/ K 2.0))))
8.0ms	(* (- (exp l) (exp (neg l))) (cos (/ K 2.0)))
6.0ms	(- (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))))
12.0ms	(* (- (exp l) (exp (neg l))) (cos (/ K 2.0)))
5.0ms	(- (exp l) (exp (neg l)))

simplify63.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4894	783
1	4894	783

prune109.0ms

Filtered

47 candidates to 64 candidates (-36.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	61	3	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	3	65

Merged error: 0.1b

Counts

65 → 3

localize19.0ms

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	(* 1/3 (pow l 3))
0.2b	(* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (cos (/ K 2.0)))

rewrite37.0ms

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:

8.0ms	(* 1/60 (pow l 5))
11.0ms	(* J (* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (cos (/ K 2.0))))
6.0ms	(* 1/3 (pow l 3))
10.0ms	(* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (cos (/ K 2.0)))

series60.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* 1/60 (pow l 5))
37.0ms	(* J (* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (cos (/ K 2.0))))
4.0ms	(* 1/3 (pow l 3))
14.0ms	(* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (cos (/ K 2.0)))

simplify50.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5034	1452

prune231.0ms

Filtered

71 candidates to 110 candidates (-54.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	107	3	110
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	107	6	113

Merged error: 0.0b

Counts

113 → 6

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

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` `associate-*l/` `sqr-pow`
3×	`pow-prod-down` `*-commutative`
2×	`pow-to-exp` `flip3-+` `pow-exp` `flip-+`
1×	`+-commutative` `cube-mult` `unpow3` `sum-log`

Counts

4 → 87

Calls

4 calls:

12.0ms	(+ (* (* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) J) (cos (/ K 2.0))) U)
5.0ms	(* 1/60 (pow l 5))
11.0ms	(* (* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) J) (cos (/ K 2.0)))
7.0ms	(* 1/3 (pow l 3))

series76.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (* (* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) J) (cos (/ K 2.0))) U)
8.0ms	(* 1/60 (pow l 5))
25.0ms	(* (* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) J) (cos (/ K 2.0)))
4.0ms	(* 1/3 (pow l 3))

simplify41.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5002	1319

prune205.0ms

Filtered

66 candidates to 99 candidates (-50.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	99	6	105

Merged error: 0b

Counts

105 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* J (* (cbrt (pow (- (exp l) (exp (neg l))) 3)) (cos (/ K 2.0))))
0.0b	(* (cbrt (pow (- (exp l) (exp (neg l))) 3)) (cos (/ K 2.0)))
0.1b	(cbrt (pow (- (exp l) (exp (neg l))) 3))
6.2b	(- (exp l) (exp (neg l)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
32×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
22×	`associate-l`
13×	`add-cube-cbrt`
11×	`pow1` `add-exp-log` `unpow-prod-down` `cube-prod`
9×	`add-cbrt-cube`
6×	`cube-div` `cbrt-div` `add-log-exp`
5×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`
4×	`flip3--` `associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod`
3×	`sqr-pow`
2×	`cube-mult` `unpow3` `associate-r/` `-commutative`
1×	`sub-neg` `pow1/3` `diff-log` `rem-cbrt-cube`

Counts

4 → 100

Calls

4 calls:

11.0ms	(* J (* (cbrt (pow (- (exp l) (exp (neg l))) 3)) (cos (/ K 2.0))))
11.0ms	(* (cbrt (pow (- (exp l) (exp (neg l))) 3)) (cos (/ K 2.0)))
6.0ms	(cbrt (pow (- (exp l) (exp (neg l))) 3))
5.0ms	(- (exp l) (exp (neg l)))

series46.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* J (* (cbrt (pow (- (exp l) (exp (neg l))) 3)) (cos (/ K 2.0))))
12.0ms	(* (cbrt (pow (- (exp l) (exp (neg l))) 3)) (cos (/ K 2.0)))
5.0ms	(cbrt (pow (- (exp l) (exp (neg l))) 3))
5.0ms	(- (exp l) (exp (neg l)))

simplify34.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5024	1403

prune142.0ms

Filtered

74 candidates to 112 candidates (-51.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	112	6	118

Merged error: 0b

Counts

118 → 6

regimes518.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	24
1	29	24

end0.0ms

analyze512.0ms

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

sample3.6s

Algorithm

intervals

Results

725.0ms	1187×	body	1280	valid
620.0ms	1496×	body	1280	invalid
476.0ms	1340×	body	640	valid
328.0ms	1158×	body	640	invalid
309.0ms	4230×	body	80	valid
239.0ms	3245×	body	80	invalid
183.0ms	774×	body	320	valid
130.0ms	609×	body	320	invalid
76.0ms	469×	body	160	valid
39.0ms	271×	body	160	invalid

Details

analyze518.0ms

sample119.0ms

simplify3.0ms

prune10.0ms

localize13.0ms

rewrite28.0ms

series39.0ms

simplify63.0ms

prune109.0ms

localize19.0ms

rewrite37.0ms

series60.0ms

simplify50.0ms

prune231.0ms

localize22.0ms

rewrite37.0ms

series76.0ms

simplify41.0ms

prune205.0ms

localize16.0ms

rewrite36.0ms

series46.0ms

simplify34.0ms

prune142.0ms

regimes518.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze512.0ms

sample3.6s

Profiling