Details

sample108.0ms

Algorithm

intervals

Results

19.0ms	303×	body	80	nan
17.0ms	46×	body	1280	valid
15.0ms	202×	body	80	valid
8.0ms	31×	body	640	valid
8.0ms	12×	body	2560	valid
2.0ms	13×	body	320	valid
1.0ms	5×	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: 18.6b

localize18.0ms

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))))
21.7b	(cos (- y (/ (* z t) 3.0)))

rewrite67.0ms

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:

8.0ms	(/ a (* b 3.0))
10.0ms	(/ (* z t) 3.0)
31.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
17.0ms	(cos (- y (/ (* z t) 3.0)))

series149.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(/ a (* b 3.0))
15.0ms	(/ (* z t) 3.0)
85.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
34.0ms	(cos (- y (/ (* z t) 3.0)))

simplify43.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (36.0ms)

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

prune325.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 15.3b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
1.3b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
25.4b	(sin (/ (* z t) 3.0))
25.7b	(cos (/ (* z t) 3.0))

rewrite90.0ms

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:

38.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
43.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
3.0ms	(sin (/ (* z t) 3.0))
4.0ms	(cos (/ (* z t) 3.0))

series207.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
80.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
16.0ms	(sin (/ (* z t) 3.0))
9.0ms	(cos (/ (* z t) 3.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (37.0ms)

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

prune354.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 15.1b

localize39.0ms

Local error

Found 4 expressions with local error:

25.4b	(sin (/ (* z t) 3.0))
25.4b	(sin (/ (* z t) 3.0))
25.4b	(sin (/ (* z t) 3.0))
25.7b	(cos (/ (* z t) 3.0))

rewrite15.0ms

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

series52.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sin (/ (* z t) 3.0))
14.0ms	(sin (/ (* z t) 3.0))
14.0ms	(sin (/ (* z t) 3.0))
9.0ms	(cos (/ (* z t) 3.0))

simplify103.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	36	190
1	52	162
2	63	162
3	72	162
4	100	162
5	174	162
6	693	162
7	2258	162
8	5001	162

prune418.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 15.1b

localize47.0ms

Local error

Found 4 expressions with local error:

25.4b	(sin (* 0.3333333333333333 (* t z)))
25.4b	(sin (/ (* z t) 3.0))
25.4b	(sin (/ (* z t) 3.0))
25.7b	(cos (/ (* z t) 3.0))

rewrite29.0ms

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:

18.0ms	(sin (* 0.3333333333333333 (* t z)))
3.0ms	(sin (/ (* z t) 3.0))
4.0ms	(sin (/ (* z t) 3.0))
4.0ms	(cos (/ (* z t) 3.0))

series56.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sin (* 0.3333333333333333 (* t z)))
18.0ms	(sin (/ (* z t) 3.0))
14.0ms	(sin (/ (* z t) 3.0))
9.0ms	(cos (/ (* z t) 3.0))

simplify109.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	44	190
1	61	162
2	74	162
3	86	162
4	123	162
5	217	162
6	831	162
7	2762	162
8	5001	162

prune304.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 15.0b

regimes2.5s

Accuracy

62.4% (1.4b remaining)

Error of 18.3b against oracle of 16.8b and baseline of 20.7b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	54
1	64	54
2	64	54

end0.0ms

sample3.1s

Algorithm

intervals

Results

628.0ms	1622×	body	1280	valid
583.0ms	8966×	body	80	nan
341.0ms	5573×	body	80	valid
260.0ms	994×	body	640	valid
239.0ms	360×	body	2560	valid
85.0ms	433×	body	320	valid
29.0ms	193×	body	160	valid