Details

sample150.0ms

Algorithm

intervals

Results

38.0ms	323×	body	80	nan
33.0ms	53×	body	1280	valid
20.0ms	171×	body	80	valid
11.0ms	24×	body	640	valid
10.0ms	9×	body	2560	valid
5.0ms	16×	body	320	valid
3.0ms	14×	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: 16.5b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ a (* b 3.0))
0.3b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.4b	(/ (* z t) 3.0)
21.2b	(cos (- y (/ (* z t) 3.0)))

rewrite26.0ms

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

series158.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ a (* b 3.0))
89.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
17.0ms	(/ (* z t) 3.0)
35.0ms	(cos (- y (/ (* z t) 3.0)))

simplify44.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (38.0ms)

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

prune323.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 13.4b

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (* z t) 3.0)
0.4b	(/ (* z t) 3.0)
24.6b	(cos (/ (* z t) 3.0))
25.1b	(sin (/ (* z t) 3.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`times-frac` `associate-/r*`
4×	`pow1` `cbrt-undiv` `div-exp` `add-log-exp`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

4 → 56

Calls

4 calls:

3.0ms	(/ (* z t) 3.0)
3.0ms	(/ (* z t) 3.0)
1.0ms	(cos (/ (* z t) 3.0))
2.0ms	(sin (/ (* z t) 3.0))

series63.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ (* z t) 3.0)
17.0ms	(/ (* z t) 3.0)
10.0ms	(cos (/ (* z t) 3.0))
19.0ms	(sin (/ (* z t) 3.0))

simplify67.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	136	264
1	557	220
2	2545	220
3	5001	220

prune404.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 13.3b

localize28.0ms

Local error

Found 4 expressions with local error:

0.4b	(* 0.3333333333333333 (* t z))
0.4b	(/ (* z t) 3.0)
24.6b	(cos (/ (* z t) 3.0))
24.7b	(sin (* 0.3333333333333333 (* t z)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`times-frac` `associate-l` `pow-prod-down` `associate-/r*`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `associate-r` `clear-num` `-commutative` `div-inv` `associate-/l`

Counts

4 → 53

Calls

4 calls:

6.0ms	(* 0.3333333333333333 (* t z))
4.0ms	(/ (* z t) 3.0)
1.0ms	(cos (/ (* z t) 3.0))
4.0ms	(sin (* 0.3333333333333333 (* t z)))

series69.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* 0.3333333333333333 (* t z))
18.0ms	(/ (* z t) 3.0)
10.0ms	(cos (/ (* z t) 3.0))
20.0ms	(sin (* 0.3333333333333333 (* t z)))

simplify108.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	200	250
1	958	206
2	4328	206
3	5002	206

prune397.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 13.2b

localize31.0ms

Local error

Found 4 expressions with local error:

24.6b	(cos (/ (* z t) 3.0))
24.6b	(cos (/ (* z t) 3.0))
24.6b	(cos (/ (* z t) 3.0))
24.7b	(sin (* 0.3333333333333333 (* t z)))

rewrite8.0ms

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:

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

series48.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(cos (/ (* z t) 3.0))
10.0ms	(cos (/ (* z t) 3.0))
9.0ms	(cos (/ (* z t) 3.0))
16.0ms	(sin (* 0.3333333333333333 (* t z)))

simplify107.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	35	186
1	49	158
2	61	158
3	70	158
4	98	158
5	172	158
6	691	158
7	2256	158
8	5001	158

prune257.0ms

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 13.2b

regimes2.7s

Accuracy

63.6% (1.6b remaining)

Error of 17.8b against oracle of 16.2b and baseline of 20.6b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	52
1	59	52
2	59	52

end0.0ms

sample4.5s

Algorithm

intervals

Results

1.1s	9076×	body	80	nan
997.0ms	1636×	body	1280	valid
683.0ms	5538×	body	80	valid
435.0ms	940×	body	640	valid
334.0ms	367×	body	2560	valid
149.0ms	442×	body	320	valid
53.0ms	215×	body	160	valid