Details

sample107.0ms

Algorithm

intervals

Results

33.0ms	81×	body	1280	valid
25.0ms	90×	body	640	valid
15.0ms	286×	body	80	valid
7.0ms	42×	body	320	valid
2.0ms	19×	body	160	valid

simplify376.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	8
1	44	8
2	91	8
3	195	8
4	332	8
5	652	8
6	1279	8
7	1694	8
8	4980	8
9	5001	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.7b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)) U)
0.0b	(* J (- (exp l) (exp (- l))))
5.2b	(- (exp l) (exp (- l)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
27×	`prod-diff`
24×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`pow1` `add-exp-log` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`expm1-log1p-u` `sub-neg` `fma-neg` `associate-l` `log1p-expm1-u`
2×	`flip3--` `associate-*r/` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

3 → 84

Calls

3 calls:

0.0ms	(fma (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)) U)
46.0ms	(* J (- (exp l) (exp (- l))))
19.0ms	(- (exp l) (exp (- l)))

series230.0ms

Counts

3 → 9

Calls

3 calls:

148.0ms	(fma (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)) U)
48.0ms	(* J (- (exp l) (exp (- l))))
35.0ms	(- (exp l) (exp (- l)))

simplify40.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	318	1176
1	1096	780
2	5001	725

prune250.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 1/60 (pow l 5) (* 2 l))
0.0b	(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
0.0b	(* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
0.1b	(fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
5×	`fma-udef`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-l`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 52

Calls

4 calls:

0.0ms	(fma 1/60 (pow l 5) (* 2 l))
0.0ms	(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
7.0ms	(* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
0.0ms	(fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U)

series506.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(fma 1/60 (pow l 5) (* 2 l))
52.0ms	(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
119.0ms	(* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
224.0ms	(fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U)

simplify110.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	186	510
1	795	442
2	4250	434
3	5001	434

prune253.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt J) (cbrt J))
0.6b	(cbrt J)
0.6b	(cbrt J)
0.6b	(cbrt J)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

10.0ms	(* (cbrt J) (cbrt J))
1.0ms	(cbrt J)
1.0ms	(cbrt J)
1.0ms	(cbrt J)

series703.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(* (cbrt J) (cbrt J))
176.0ms	(cbrt J)
167.0ms	(cbrt J)
167.0ms	(cbrt J)

simplify94.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune450.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt J)
0.6b	(cbrt J)
0.6b	(cbrt (* (cbrt J) (cbrt J)))
1.0b	(pow (cbrt (cbrt J)) 4)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 63

Calls

4 calls:

1.0ms	(cbrt J)
1.0ms	(cbrt J)
5.0ms	(cbrt (* (cbrt J) (cbrt J)))
4.0ms	(pow (cbrt (cbrt J)) 4)

series924.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt J)
183.0ms	(cbrt J)
269.0ms	(cbrt (* (cbrt J) (cbrt J)))
299.0ms	(pow (cbrt (cbrt J)) 4)

simplify77.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	176	306
1	530	278
2	1868	261
3	5001	261

prune438.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes337.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	9
1	21	9

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.1s	2666×	body	1280	valid
650.0ms	2559×	body	640	valid
445.0ms	8387×	body	80	valid
248.0ms	1468×	body	320	valid
78.0ms	672×	body	160	valid