Details

sample140.0ms

Algorithm

intervals

Results

50.0ms	91×	body	1280	valid
30.0ms	71×	body	640	valid
21.0ms	274×	body	80	valid
10.0ms	43×	body	320	valid
2.0ms	16×	body	160	valid

simplify368.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.7b

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))))
6.1b	(- (exp l) (exp (- l)))

rewrite34.0ms

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)
24.0ms	(* J (- (exp l) (exp (- l))))
8.0ms	(- (exp l) (exp (- l)))

series252.0ms

Counts

3 → 9

Calls

3 calls:

158.0ms	(fma (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)) U)
56.0ms	(* J (- (exp l) (exp (- l))))
38.0ms	(- (exp l) (exp (- l)))

simplify45.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (33.0ms)

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

prune232.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

3.0ms	(* 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)

series370.0ms

Counts

2 → 6

Calls

2 calls:

136.0ms	(* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
234.0ms	(fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U)

simplify90.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	166	362
1	654	312
2	3194	304
3	5002	304

prune158.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))))
0.6b	(cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
0.6b	(cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
0.6b	(cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))

rewrite9.0ms

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:

6.0ms	(* (cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))))
0.0ms	(cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
0.0ms	(cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
1.0ms	(cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))

series596.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(* (cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))))
144.0ms	(cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
151.0ms	(cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
145.0ms	(cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))

simplify142.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (128.0ms)

Iter	Nodes	Cost
0	306	1320
1	970	1218
2	4372	1056
3	5001	1030

prune475.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
0.6b	(cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
0.6b	(cbrt (cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))))
0.7b	(cbrt (* (cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 53

Calls

4 calls:

0.0ms	(cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
0.0ms	(cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
1.0ms	(cbrt (cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))))
3.0ms	(cbrt (* (cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))))

series599.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
143.0ms	(cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
148.0ms	(cbrt (cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))))
159.0ms	(cbrt (* (cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))))

simplify104.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	354	964
1	998	884
2	3406	801
3	5002	768

prune443.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes318.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	9
1	21	9

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.1s	2660×	body	1280	valid
663.0ms	2563×	body	640	valid
476.0ms	8403×	body	80	valid
263.0ms	1491×	body	320	valid
85.0ms	728×	body	160	valid