Details

sample132.0ms

Algorithm

intervals

Results

51.0ms	90×	body	1280	valid
26.0ms	77×	body	640	valid
18.0ms	239×	body	80	valid
11.0ms	45×	body	320	valid
6.0ms	33×	body	160	valid

simplify364.0ms

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	271	9
5	533	9
6	1023	9
7	1395	9
8	4369	9
9	5002	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.2b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* J (- (exp l) (exp (- l))))
0.0b	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
4.3b	(- (exp l) (exp (- l)))

rewrite54.0ms

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:

22.0ms	(* J (- (exp l) (exp (- l))))
24.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
6.0ms	(- (exp l) (exp (- l)))

series175.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(* J (- (exp l) (exp (- l))))
87.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
34.0ms	(- (exp l) (exp (- l)))

simplify38.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	264	566
1	1116	481
2	5002	475

prune202.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))
0.0b	(* 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)))

rewrite61.0ms

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` `add-log-exp`
8×	`unpow-prod-down`
7×	`associate-l` `unswap-sqr`
5×	`cbrt-unprod`
4×	`cube-prod` `sqr-pow`
3×	`pow-prod-down` `sum-log` `*-commutative`
2×	`pow-to-exp` `flip3-+` `associate-r/` `associate-l/` `pow-exp` `flip-+`
1×	`+-commutative` `cube-mult` `associate-+r+` `unpow3`

Counts

4 → 89

Calls

4 calls:

8.0ms	(+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))
5.0ms	(* 1/60 (pow l 5))
6.0ms	(* 1/3 (pow l 3))
39.0ms	(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))

series288.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))
47.0ms	(* 1/60 (pow l 5))
34.0ms	(* 1/3 (pow l 3))
153.0ms	(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))

simplify63.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	443	717
1	2193	619
2	5001	619

prune317.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 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)))

rewrite78.0ms

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:

5.0ms	(* 1/60 (pow l 5))
7.0ms	(* 1/3 (pow l 3))
32.0ms	(* J (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))
31.0ms	(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))

series319.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* 1/60 (pow l 5))
35.0ms	(* 1/3 (pow l 3))
153.0ms	(* J (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))
84.0ms	(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))

simplify65.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (12.0ms)

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

prune348.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/60 (pow l 5))
0.1b	(* 1/3 (pow l 3))
0.1b	(* (* J (+ (log (exp (* 1/3 (pow l 3)))) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))
2.1b	(log (exp (* 1/3 (pow l 3))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

5.0ms	(* 1/60 (pow l 5))
6.0ms	(* 1/3 (pow l 3))
39.0ms	(* (* J (+ (log (exp (* 1/3 (pow l 3)))) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))
1.0ms	(log (exp (* 1/3 (pow l 3))))

series303.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* 1/60 (pow l 5))
34.0ms	(* 1/3 (pow l 3))
177.0ms	(* (* J (+ (log (exp (* 1/3 (pow l 3)))) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))
41.0ms	(log (exp (* 1/3 (pow l 3))))

simplify60.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	418	643
1	2045	537
2	5001	537

prune365.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes386.0ms

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

sample4.1s

Algorithm

intervals

Results

1.5s	2724×	body	1280	valid
957.0ms	2626×	body	640	valid
666.0ms	8291×	body	80	valid
369.0ms	1466×	body	320	valid
136.0ms	794×	body	160	valid