Details

sample102.0ms

Algorithm

intervals

Results

20.0ms	316×	body	80	nan
20.0ms	51×	body	1280	valid
13.0ms	180×	body	80	valid
10.0ms	16×	body	2560	valid
8.0ms	28×	body	640	valid
2.0ms	9×	body	320	valid
1.0ms	6×	body	160	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	32	10
1	55	10
2	76	10
3	89	10
4	92	10
5	92	10

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ a (* b 3.0))
0.2b	(/ (* z t) 3.0)
0.2b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
23.9b	(cos (- y (/ (* z t) 3.0)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-cbrt-cube`
9×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`times-frac`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `associate-/r` `associate-/l` `add-log-exp`
3×	`cos-diff` `associate-r` `pow-prod-down`
2×	`cos-sum` `frac-2neg` `clear-num` `div-inv`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `*-commutative`

Counts

4 → 72

Calls

4 calls:

3.0ms	(/ a (* b 3.0))
3.0ms	(/ (* z t) 3.0)
11.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
8.0ms	(cos (- y (/ (* z t) 3.0)))

series164.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ a (* b 3.0))
17.0ms	(/ (* z t) 3.0)
92.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
36.0ms	(cos (- y (/ (* z t) 3.0)))

simplify47.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	404	507
1	1689	429
2	5001	426

prune339.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 15.6b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sin y) (sin (/ (* z t) 3.0)))
1.1b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
28.6b	(cos (/ (* z t) 3.0))
28.9b	(sin (/ (* z t) 3.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r` `associate-l` `add-log-exp`
2×	`*-commutative` `sin-mult`
1×	`associate-*r/` `unswap-sqr`

Counts

4 → 56

Calls

4 calls:

7.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
15.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
1.0ms	(cos (/ (* z t) 3.0))
1.0ms	(sin (/ (* z t) 3.0))

series161.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
93.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
9.0ms	(cos (/ (* z t) 3.0))
15.0ms	(sin (/ (* z t) 3.0))

simplify157.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	224	552
1	948	444
2	4946	442
3	5001	442

prune379.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 15.5b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sin y) (sin (/ (* z t) 3.0)))
1.1b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
28.8b	(cos (* 0.3333333333333333 (* t z)))
28.9b	(sin (/ (* z t) 3.0))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r` `associate-l` `add-log-exp`
2×	`*-commutative` `sin-mult`
1×	`associate-*r/` `unswap-sqr`

Counts

4 → 56

Calls

4 calls:

5.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
15.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
4.0ms	(cos (* 0.3333333333333333 (* t z)))
1.0ms	(sin (/ (* z t) 3.0))

series163.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
93.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
10.0ms	(cos (* 0.3333333333333333 (* t z)))
16.0ms	(sin (/ (* z t) 3.0))

simplify155.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	223	552
1	947	444
2	4945	442
3	5001	442

prune393.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 15.5b

localize37.0ms

Local error

Found 4 expressions with local error:

28.8b	(cos (* 0.3333333333333333 (* t z)))
28.8b	(cos (* 0.3333333333333333 (* t z)))
28.8b	(cos (* 0.3333333333333333 (* t z)))
28.9b	(sin (/ (* z t) 3.0))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`

Counts

4 → 28

Calls

4 calls:

4.0ms	(cos (* 0.3333333333333333 (* t z)))
4.0ms	(cos (* 0.3333333333333333 (* t z)))
4.0ms	(cos (* 0.3333333333333333 (* t z)))
1.0ms	(sin (/ (* z t) 3.0))

series44.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(cos (* 0.3333333333333333 (* t z)))
9.0ms	(cos (* 0.3333333333333333 (* t z)))
9.0ms	(cos (* 0.3333333333333333 (* t z)))
16.0ms	(sin (/ (* z t) 3.0))

simplify108.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	35	186
1	51	158
2	62	158
3	71	158
4	99	158
5	173	158
6	692	158
7	2257	158
8	5001	158

prune260.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 15.5b

regimes2.1s

Accuracy

63.5% (1.5b remaining)

Error of 17.9b against oracle of 16.5b and baseline of 20.5b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	43
1	55	43

end0.0ms

sample3.0s

Algorithm

intervals

Results

640.0ms	9287×	body	80	nan
628.0ms	1551×	body	1280	valid
356.0ms	5626×	body	80	valid
264.0ms	397×	body	2560	valid
261.0ms	946×	body	640	valid
81.0ms	411×	body	320	valid
30.0ms	209×	body	160	valid