Details

sample100.0ms

Algorithm

intervals

Results

24.0ms	58×	body	1280	valid
16.0ms	291×	body	80	nan
10.0ms	165×	body	80	valid
9.0ms	14×	body	2560	valid
9.0ms	34×	body	640	valid
2.0ms	12×	body	320	valid
1.0ms	10×	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: 22.5b

Counts

2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* z t) 3.0)
0.3b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.5b	(/ a (* b 3.0))
23.9b	(cos (- y (/ (* z t) 3.0)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-commutative`
3×	`cos-diff`
2×	`cos-sum` `frac-2neg` `associate-l` `clear-num` `associate-/r` `div-inv` `associate-/l`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`

Counts

4 → 18

Calls

4 calls:

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

series161.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify70.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 3 (22.0ms)

Iter	Nodes	Cost
0	150	149
1	330	146
2	729	143
3	2062	132
4	5002	132

prune114.0ms

Filtered

30 candidates to 21 candidates (70.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	22	8	30
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	23	8	31

Merged error: 18.2b

Counts

31 → 8

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
0.5b	(/ a (* b 3.0))
26.4b	(sin (- (/ (* z t) 3.0)))
26.5b	(cos (/ (* z t) 3.0))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

4×	`associate-*r/`
3×	`*-commutative`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `associate-/r*` `cos-mult` `sin-mult`
1×	`neg-sub0` `flip3--` `frac-2neg` `sin-neg` `clear-num` `sin-diff` `frac-sub` `flip--` `div-inv` `sub-div`

Counts

4 → 18

Calls

4 calls:

13.0ms	(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
3.0ms	(/ a (* b 3.0))
4.0ms	(sin (- (/ (* z t) 3.0)))
3.0ms	(cos (/ (* z t) 3.0))

series257.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
21.0ms	(/ a (* b 3.0))
19.0ms	(sin (- (/ (* z t) 3.0)))
10.0ms	(cos (/ (* z t) 3.0))

simplify88.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	260	308
1	809	291
2	3110	266
3	5002	266

prune169.0ms

Filtered

30 candidates to 22 candidates (73.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	21	9	30
Fresh	4	3	7
Picked	1	0	1
Done	0	0	0
Total	26	12	38

Merged error: 18.0b

Counts

38 → 12

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sin y) (sin (- (/ (* z t) 3.0))))
0.3b	(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
26.4b	(sin (- (/ (* z t) 3.0)))
26.5b	(cos (/ (* z t) 3.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

4×	`associate-*r/`
3×	`*-commutative` `sin-mult`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `sin-neg` `cos-mult`
1×	`neg-sub0` `flip3--` `sin-diff` `distribute-rgt-neg-out` `frac-sub` `flip--` `sub-div`

Counts

4 → 16

Calls

4 calls:

5.0ms	(* (sin y) (sin (- (/ (* z t) 3.0))))
14.0ms	(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
4.0ms	(sin (- (/ (* z t) 3.0)))
3.0ms	(cos (/ (* z t) 3.0))

series293.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (sin y) (sin (- (/ (* z t) 3.0))))
208.0ms	(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
19.0ms	(sin (- (/ (* z t) 3.0)))
13.0ms	(cos (/ (* z t) 3.0))

simplify88.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	241	321
1	770	304
2	3040	279
3	5002	279

prune159.0ms

Filtered

28 candidates to 20 candidates (71.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	20	8	28
Fresh	7	4	11
Picked	1	0	1
Done	0	0	0
Total	28	12	40

Merged error: 18.0b

Counts

40 → 12

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 0.3333333333333333 (* t z))
0.3b	(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
26.4b	(sin (- (/ (* z t) 3.0)))
26.5b	(cos (* 0.3333333333333333 (* t z)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

4×	`associate-r/` `-commutative`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r` `associate-l` `cos-mult` `sin-mult`
1×	`neg-sub0` `flip3--` `sin-neg` `sin-diff` `frac-sub` `flip--` `sub-div`

Counts

4 → 16

Calls

4 calls:

3.0ms	(* 0.3333333333333333 (* t z))
13.0ms	(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
4.0ms	(sin (- (/ (* z t) 3.0)))
3.0ms	(cos (* 0.3333333333333333 (* t z)))

series265.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* 0.3333333333333333 (* t z))
216.0ms	(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
19.0ms	(sin (- (/ (* z t) 3.0)))
10.0ms	(cos (* 0.3333333333333333 (* t z)))

simplify90.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	242	301
1	771	284
2	3014	276
3	5001	276

prune103.0ms

Filtered

28 candidates to 17 candidates (60.7%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	22	6	28
Fresh	3	8	11
Picked	1	0	1
Done	0	0	0
Total	26	14	40

Merged error: 17.9b

Counts

40 → 14

regimes1.5s

Accuracy

30.9% (2.5b remaining)

Error of 19.6b against oracle of 17.0b and baseline of 20.7b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	30
1	56	30
2	56	30

end0.0ms

sample2.8s

Algorithm

intervals

Results

633.0ms	1642×	body	1280	valid
531.0ms	9321×	body	80	nan
328.0ms	5624×	body	80	valid
253.0ms	962×	body	640	valid
226.0ms	350×	body	2560	valid
81.0ms	421×	body	320	valid
27.0ms	202×	body	160	valid