Details

sample107.0ms

Algorithm

intervals

Results

24.0ms	58×	body	1280	valid
19.0ms	273×	body	80	nan
15.0ms	167×	body	80	valid
11.0ms	16×	body	2560	valid
9.0ms	31×	body	640	valid
1.0ms	8×	body	160	valid
1.0ms	5×	body	320	valid

simplify12.0ms

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: 19.5b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* z t) 3.0)
0.2b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.2b	(/ a (* b 3.0))
21.5b	(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	(/ (* z t) 3.0)
11.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
3.0ms	(/ a (* b 3.0))
8.0ms	(cos (- y (/ (* z t) 3.0)))

series163.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ (* z t) 3.0)
91.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
18.0ms	(/ a (* b 3.0))
38.0ms	(cos (- y (/ (* z t) 3.0)))

simplify46.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (39.0ms)

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

prune321.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 15.8b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sin y) (sin (/ (* z t) 3.0)))
1.7b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
26.3b	(cos (/ (* z t) 3.0))
26.4b	(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:

5.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
17.0ms	(* (* 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))

series158.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
92.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
9.0ms	(cos (/ (* z t) 3.0))
16.0ms	(sin (/ (* z t) 3.0))

simplify164.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (35.0ms)

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

prune362.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 15.6b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sin (* 0.3333333333333333 (* t z))) (sin y))
1.6b	(* (* 2.0 (sqrt x)) (* (sin (* 0.3333333333333333 (* t z))) (sin y)))
26.3b	(cos (/ (* z t) 3.0))
26.8b	(sin (* 0.3333333333333333 (* t z)))

rewrite38.0ms

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:

8.0ms	(* (sin (* 0.3333333333333333 (* t z))) (sin y))
23.0ms	(* (* 2.0 (sqrt x)) (* (sin (* 0.3333333333333333 (* t z))) (sin y)))
1.0ms	(cos (/ (* z t) 3.0))
4.0ms	(sin (* 0.3333333333333333 (* t z)))

series163.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (sin (* 0.3333333333333333 (* t z))) (sin y))
93.0ms	(* (* 2.0 (sqrt x)) (* (sin (* 0.3333333333333333 (* t z))) (sin y)))
10.0ms	(cos (/ (* z t) 3.0))
19.0ms	(sin (* 0.3333333333333333 (* t z)))

simplify150.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	221	554
1	930	446
2	4862	444
3	5001	444

prune396.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 15.6b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
1.6b	(* (* 2.0 (sqrt x)) (* (sin (* 0.3333333333333333 (* t z))) (sin y)))
26.6b	(cos (* 0.3333333333333333 (* t z)))
26.8b	(sin (* 0.3333333333333333 (* t z)))

rewrite54.0ms

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:

22.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
23.0ms	(* (* 2.0 (sqrt x)) (* (sin (* 0.3333333333333333 (* t z))) (sin y)))
4.0ms	(cos (* 0.3333333333333333 (* t z)))
4.0ms	(sin (* 0.3333333333333333 (* t z)))

series233.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
94.0ms	(* (* 2.0 (sqrt x)) (* (sin (* 0.3333333333333333 (* t z))) (sin y)))
9.0ms	(cos (* 0.3333333333333333 (* t z)))
20.0ms	(sin (* 0.3333333333333333 (* t z)))

simplify47.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	346	706
1	1512	547
2	5002	542

prune260.0ms

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 15.6b

regimes2.6s

Accuracy

57.5% (1.6b remaining)

Error of 17.8b against oracle of 16.3b and baseline of 19.9b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	54
1	58	54
2	58	54

end0.0ms

sample2.9s

Algorithm

intervals

Results

657.0ms	1642×	body	1280	valid
626.0ms	9032×	body	80	nan
361.0ms	5548×	body	80	valid
265.0ms	931×	body	640	valid
237.0ms	352×	body	2560	valid
84.0ms	406×	body	320	valid
28.0ms	197×	body	160	valid