Details

sample106.0ms

Algorithm

intervals

Results

25.0ms	57×	body	1280	valid
20.0ms	278×	body	80	nan
13.0ms	181×	body	80	valid
9.0ms	28×	body	640	valid
7.0ms	6×	body	2560	valid
3.0ms	13×	body	320	valid
1.0ms	4×	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

prune4.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 20.0b

Counts

2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* z t) 3.0)
0.2b	(/ a (* b 3.0))
0.3b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
25.8b	(cos (- y (/ (* z t) 3.0)))

rewrite25.0ms

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:

5.0ms	(/ (* z t) 3.0)
7.0ms	(/ a (* b 3.0))
6.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
5.0ms	(cos (- y (/ (* z t) 3.0)))

series161.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ (* z t) 3.0)
18.0ms	(/ a (* b 3.0))
93.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
33.0ms	(cos (- y (/ (* z t) 3.0)))

simplify48.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (38.0ms)

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

prune297.0ms

Filtered

84 candidates to 58 candidates (69.0%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	67	17	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	17	85

Merged error: 16.2b

Counts

85 → 17

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ a (* b 3.0))
0.3b	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
28.4b	(sin (/ (* z t) 3.0))
29.1b	(cos (/ (* z t) 3.0))

rewrite19.0ms

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-r/` `associate-r` `pow-prod-down` `associate-/l`
2×	`cbrt-undiv` `div-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `flip3-+` `associate-l` `frac-add` `clear-num` `associate-/r` `cos-mult` `-commutative` `flip-+` `div-inv` `sin-mult`

Counts

4 → 58

Calls

4 calls:

4.0ms	(/ a (* b 3.0))
9.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
2.0ms	(sin (/ (* z t) 3.0))
2.0ms	(cos (/ (* z t) 3.0))

series231.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ a (* b 3.0))
187.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
15.0ms	(sin (/ (* z t) 3.0))
12.0ms	(cos (/ (* z t) 3.0))

simplify54.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	433	695
1	1951	580
2	5001	577

prune361.0ms

Filtered

70 candidates to 52 candidates (74.3%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	62	8	70
Fresh	2	14	16
Picked	1	0	1
Done	0	0	0
Total	65	22	87

Merged error: 16.1b

Counts

87 → 22

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ a (* b 3.0))
0.3b	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (/ (* z t) 3.0)))))
28.4b	(sin (/ (* z t) 3.0))
29.0b	(cos (* 0.3333333333333333 (* t z)))

rewrite23.0ms

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-r/` `associate-r` `pow-prod-down` `associate-/l`
2×	`cbrt-undiv` `div-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `flip3-+` `associate-l` `frac-add` `clear-num` `associate-/r` `cos-mult` `-commutative` `flip-+` `div-inv` `sin-mult`

Counts

4 → 58

Calls

4 calls:

7.0ms	(/ a (* b 3.0))
10.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (/ (* z t) 3.0)))))
2.0ms	(sin (/ (* z t) 3.0))
3.0ms	(cos (* 0.3333333333333333 (* t z)))

series235.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ a (* b 3.0))
190.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (/ (* z t) 3.0)))))
15.0ms	(sin (/ (* z t) 3.0))
10.0ms	(cos (* 0.3333333333333333 (* t z)))

simplify58.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	437	695
1	1967	580
2	5002	577

prune354.0ms

Filtered

70 candidates to 50 candidates (71.4%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	1	20	21
Picked	1	0	1
Done	0	0	0
Total	69	23	92

Merged error: 16.1b

Counts

92 → 23

localize34.0ms

Local error

Found 4 expressions with local error:

28.4b	(sin (/ (* z t) 3.0))
29.0b	(cos (* 0.3333333333333333 (* t z)))
29.0b	(cos (* 0.3333333333333333 (* t z)))
29.0b	(cos (* 0.3333333333333333 (* t z)))

rewrite11.0ms

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:

2.0ms	(sin (/ (* z t) 3.0))
3.0ms	(cos (* 0.3333333333333333 (* t z)))
3.0ms	(cos (* 0.3333333333333333 (* t z)))
3.0ms	(cos (* 0.3333333333333333 (* t z)))

series44.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(sin (/ (* z t) 3.0))
9.0ms	(cos (* 0.3333333333333333 (* t z)))
9.0ms	(cos (* 0.3333333333333333 (* t z)))
10.0ms	(cos (* 0.3333333333333333 (* t z)))

simplify105.0ms

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

prune203.0ms

Filtered

40 candidates to 33 candidates (82.5%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	38	2	40
Fresh	1	21	22
Picked	0	1	1
Done	0	0	0
Total	39	24	63

Merged error: 16.0b

Counts

63 → 24

regimes2.3s

Accuracy

62.6% (1.5b remaining)

Error of 18.1b against oracle of 16.7b and baseline of 20.6b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	39
1	60	39
2	60	39

end0.0ms

sample3.2s

Algorithm

intervals

Results

735.0ms	1594×	body	1280	valid
669.0ms	9202×	body	80	nan
417.0ms	5584×	body	80	valid
310.0ms	940×	body	640	valid
284.0ms	377×	body	2560	valid
102.0ms	440×	body	320	valid
34.0ms	210×	body	160	valid