Details

sample148.0ms

Algorithm

intervals

Results

59.0ms	105×	body	1280	valid
30.0ms	69×	body	640	valid
22.0ms	264×	body	80	valid
11.0ms	44×	body	320	valid
5.0ms	28×	body	160	valid

simplify367.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 17.2b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
0.2b	(* J (- (exp l) (exp (- l))))
5.0b	(- (exp l) (exp (- l)))

rewrite53.0ms

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:

27.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
19.0ms	(* J (- (exp l) (exp (- l))))
6.0ms	(- (exp l) (exp (- l)))

series178.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
54.0ms	(* J (- (exp l) (exp (- l))))
35.0ms	(- (exp l) (exp (- l)))

simplify37.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	264	566
1	1116	481
2	5001	475

prune212.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize19.0ms

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))
0.2b	(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))

rewrite88.0ms

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:

34.0ms	(+ (* (* 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))
39.0ms	(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))

series577.0ms

Counts

4 → 12

Calls

4 calls:

333.0ms	(+ (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))) U)
46.0ms	(* 1/60 (pow l 5))
40.0ms	(* 1/3 (pow l 3))
158.0ms	(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))

simplify67.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (13.0ms)

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

prune354.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.3b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(pow (cbrt l) 5)
0.7b	(cbrt l)
0.7b	(cbrt l)
0.7b	(cbrt l)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 54

Calls

4 calls:

2.0ms	(pow (cbrt l) 5)
0.0ms	(cbrt l)
0.0ms	(cbrt l)
1.0ms	(cbrt l)

series828.0ms

Counts

4 → 12

Calls

4 calls:

274.0ms	(pow (cbrt l) 5)
185.0ms	(cbrt l)
184.0ms	(cbrt l)
185.0ms	(cbrt l)

simplify50.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (45.0ms)

Iter	Nodes	Cost
0	119	208
1	358	197
2	1295	188
3	5002	183

prune366.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.3b

localize28.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt l)
27.1b	(cbrt (pow (cbrt l) 5))
27.1b	(cbrt (pow (cbrt l) 5))
27.1b	(cbrt (pow (cbrt l) 5))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

42×	`cbrt-prod`
18×	`unpow-prod-down`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`sqr-pow`

Counts

4 → 65

Calls

4 calls:

0.0ms	(cbrt l)
2.0ms	(cbrt (pow (cbrt l) 5))
2.0ms	(cbrt (pow (cbrt l) 5))
5.0ms	(cbrt (pow (cbrt l) 5))

series1.1s

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt l)
308.0ms	(cbrt (pow (cbrt l) 5))
314.0ms	(cbrt (pow (cbrt l) 5))
311.0ms	(cbrt (pow (cbrt l) 5))

simplify66.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 3 (20.0ms)

Iter	Nodes	Cost
0	119	420
1	249	396
2	672	388
3	2149	372
4	5001	372

prune469.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.3b

regimes571.0ms

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	45	37
1	45	37

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.5s	2660×	body	1280	valid
984.0ms	2582×	body	640	valid
711.0ms	8445×	body	80	valid
389.0ms	1462×	body	320	valid
139.0ms	802×	body	160	valid