Details

sample104.0ms

Algorithm

intervals

Results

20.0ms	310×	body	80	nan
19.0ms	51×	body	1280	valid
13.0ms	169×	body	80	valid
11.0ms	17×	body	2560	valid
10.0ms	39×	body	640	valid
2.0ms	8×	body	320	valid
1.0ms	4×	body	160	valid

simplify13.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.4b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ a (* b 3.0))
0.2b	(/ (* z t) 3.0)
0.3b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
25.2b	(cos (- y (/ (* z t) 3.0)))

rewrite30.0ms

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)))

series167.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ a (* b 3.0))
17.0ms	(/ (* z t) 3.0)
97.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
35.0ms	(cos (- y (/ (* z t) 3.0)))

simplify48.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (41.0ms)

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

prune346.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 18.1b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
2.8b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
28.4b	(cos (/ (* z t) 3.0))
28.8b	(sin (/ (* z t) 3.0))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
2×	`associate-r/` `associate-r` `associate-l` `-commutative`
1×	`cos-mult` `sin-mult`

Counts

4 → 60

Calls

4 calls:

14.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
15.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
1.0ms	(cos (/ (* z t) 3.0))
2.0ms	(sin (/ (* z t) 3.0))

series237.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
97.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
10.0ms	(cos (/ (* z t) 3.0))
17.0ms	(sin (/ (* z t) 3.0))

simplify59.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	351	704
1	1500	545
2	5001	540

prune365.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 17.9b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
2.8b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
28.4b	(cos (/ (* z t) 3.0))
28.7b	(sin (* 0.3333333333333333 (* t z)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
2×	`associate-r/` `associate-r` `associate-l` `-commutative`
1×	`cos-mult` `sin-mult`

Counts

4 → 60

Calls

4 calls:

14.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
23.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
1.0ms	(cos (/ (* z t) 3.0))
4.0ms	(sin (* 0.3333333333333333 (* t z)))

series231.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
93.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
13.0ms	(cos (/ (* z t) 3.0))
16.0ms	(sin (* 0.3333333333333333 (* t z)))

simplify50.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	355	704
1	1518	545
2	5002	540

prune386.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 17.9b

localize33.0ms

Local error

Found 4 expressions with local error:

28.4b	(cos (/ (* z t) 3.0))
28.7b	(sin (* 0.3333333333333333 (* t z)))
28.7b	(sin (* 0.3333333333333333 (* t z)))
28.7b	(sin (* 0.3333333333333333 (* t z)))

rewrite13.0ms

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))
4.0ms	(sin (* 0.3333333333333333 (* t z)))
4.0ms	(sin (* 0.3333333333333333 (* t z)))
4.0ms	(sin (* 0.3333333333333333 (* t z)))

series254.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(cos (/ (* z t) 3.0))
17.0ms	(sin (* 0.3333333333333333 (* t z)))
16.0ms	(sin (* 0.3333333333333333 (* t z)))
210.0ms	(sin (* 0.3333333333333333 (* t z)))

simplify113.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	35	190
1	49	162
2	61	162
3	70	162
4	98	162
5	172	162
6	691	162
7	2256	162
8	5001	162

prune242.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 17.9b

regimes2.4s

Accuracy

62.4% (1.4b remaining)

Error of 17.8b against oracle of 16.4b and baseline of 20.1b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	44
1	58	44
2	58	44

end0.0ms

sample2.9s

Algorithm

intervals

Results

644.0ms	1628×	body	1280	valid
591.0ms	9145×	body	80	nan
333.0ms	5529×	body	80	valid
260.0ms	950×	body	640	valid
248.0ms	372×	body	2560	valid
80.0ms	402×	body	320	valid
29.0ms	192×	body	160	valid