Details

sample107.0ms

Algorithm

intervals

Results

27.0ms	57×	body	1280	valid
19.0ms	320×	body	80	nan
11.0ms	170×	body	80	valid
10.0ms	35×	body	640	valid
8.0ms	12×	body	2560	valid
3.0ms	15×	body	320	valid
0.0ms	2×	body	160	valid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	33	10
1	58	10
2	82	10
3	99	10
4	107	10
5	109	10
6	109	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: 19.1b

Counts

2 → 1

localize16.0ms

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))))
21.6b	(cos (- y (/ (* z t) 3.0)))

rewrite15.0ms

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:

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

series184.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ (* z t) 3.0)
21.0ms	(/ a (* b 3.0))
103.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
40.0ms	(cos (- y (/ (* z t) 3.0)))

simplify66.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 3 (23.0ms)

Iter	Nodes	Cost
0	152	149
1	338	146
2	777	143
3	2211	132
4	5001	132

prune123.0ms

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: 16.5b

Counts

31 → 8

localize30.0ms

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))))))
26.6b	(sin (- (/ (* z t) 3.0)))
26.7b	(cos (/ (* z t) 3.0))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-commutative`
8×	`prod-diff`
6×	`distribute-rgt-in` `distribute-lft-in`
4×	`associate-*r/`
2×	`sub-neg` `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 → 26

Calls

4 calls:

5.0ms	(/ a (* b 3.0))
23.0ms	(* (* 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)))
4.0ms	(cos (/ (* z t) 3.0))

series318.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ a (* b 3.0))
238.0ms	(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
36.0ms	(sin (- (/ (* z t) 3.0)))
20.0ms	(cos (/ (* z t) 3.0))

simplify102.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	316	556
1	937	506
2	3601	479
3	5001	476

prune203.0ms

Filtered

38 candidates to 23 candidates (60.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	30	8	38
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	33	13	46

Merged error: 16.3b

Counts

46 → 13

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* z t) 3.0)
0.3b	(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
26.6b	(sin (- (/ (* z t) 3.0)))
26.7b	(cos (/ (* z t) 3.0))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 26

Calls

4 calls:

4.0ms	(/ (* z t) 3.0)
15.0ms	(* (* 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)))
4.0ms	(cos (/ (* z t) 3.0))

series293.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ (* z t) 3.0)
239.0ms	(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (/ (* z t) 3.0))))))
24.0ms	(sin (- (/ (* z t) 3.0)))
11.0ms	(cos (/ (* z t) 3.0))

simplify99.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	304	555
1	911	505
2	3550	478
3	5001	475

prune194.0ms

Filtered

38 candidates to 22 candidates (57.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	30	8	38
Fresh	7	5	12
Picked	1	0	1
Done	0	0	0
Total	38	13	51

Merged error: 16.2b

Counts

51 → 13

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (/ t (/ 3.0 z)))))))
0.4b	(/ t (/ 3.0 z))
26.7b	(sin (- (/ t (/ 3.0 z))))
26.7b	(cos (/ (* z t) 3.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 28

Calls

4 calls:

15.0ms	(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (/ t (/ 3.0 z)))))))
3.0ms	(/ t (/ 3.0 z))
4.0ms	(sin (- (/ t (/ 3.0 z))))
4.0ms	(cos (/ (* z t) 3.0))

series285.0ms

Counts

4 → 12

Calls

4 calls:

229.0ms	(* (* 2.0 (sqrt x)) (- (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (- (/ t (/ 3.0 z)))))))
24.0ms	(/ t (/ 3.0 z))
22.0ms	(sin (- (/ t (/ 3.0 z))))
10.0ms	(cos (/ (* z t) 3.0))

simplify106.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	313	558
1	967	508
2	3815	482
3	5001	477

prune138.0ms

Filtered

40 candidates to 22 candidates (55.0%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	34	6	40
Fresh	4	8	12
Picked	1	0	1
Done	0	0	0
Total	39	14	53

Merged error: 16.1b

Counts

53 → 14

regimes1.5s

Accuracy

69% (1.1b remaining)

Error of 17.6b against oracle of 16.4b and baseline of 20.1b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	33
1	55	33

end0.0ms

sample2.8s

Algorithm

intervals

Results

633.0ms	1571×	body	1280	valid
539.0ms	9227×	body	80	nan
351.0ms	5599×	body	80	valid
252.0ms	382×	body	2560	valid
248.0ms	913×	body	640	valid
88.0ms	447×	body	320	valid
26.0ms	191×	body	160	valid