Details

analyze1.2s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	74.8%	25.2%	10
0%	74.8%	25.2%	11
0%	74.8%	25.2%	12
24.9%	49.9%	25.2%	13
24.9%	37.4%	37.7%	14

sample90.0ms

Algorithm

intervals

Results

26.0ms	55×	body	1280	valid
14.0ms	34×	body	640	valid
11.0ms	143×	body	80	valid
9.0ms	12×	body	2560	valid
5.0ms	72×	body	80	nan
3.0ms	37×	body	80	invalid
2.0ms	7×	body	320	valid
1.0ms	5×	body	160	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	10
1	55	10
2	76	10
3	89	10
4	92	10
5	92	10

prune6.0ms

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: 20.3b

Counts

2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* z t) 3.0)
0.3b	(/ a (* b 3.0))
0.3b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
25.1b	(cos (- y (/ (* z t) 3.0)))

rewrite37.0ms

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	(/ (* z t) 3.0)
8.0ms	(/ a (* b 3.0))
12.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
5.0ms	(cos (- y (/ (* z t) 3.0)))

series64.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ (* z t) 3.0)
3.0ms	(/ a (* b 3.0))
37.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
20.0ms	(cos (- y (/ (* z t) 3.0)))

simplify45.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	419	507
1	1751	432
2	5001	432

prune294.0ms

Filtered

59 candidates to 84 candidates (-42.4%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	63	21	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	21	85

Merged error: 16.7b

Counts

85 → 21

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
0.3b	(/ a (* b 3.0))
29.0b	(cos (/ (* z t) 3.0))
29.4b	(sin (/ (* z t) 3.0))

rewrite32.0ms

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:

15.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
8.0ms	(/ a (* b 3.0))
4.0ms	(cos (/ (* z t) 3.0))
4.0ms	(sin (/ (* z t) 3.0))

series75.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
3.0ms	(/ a (* b 3.0))
3.0ms	(cos (/ (* z t) 3.0))
5.0ms	(sin (/ (* z t) 3.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	460	697
1	2089	586
2	5001	585

prune290.0ms

Filtered

52 candidates to 70 candidates (-34.6%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	60	10	70
Fresh	4	16	20
Picked	1	0	1
Done	0	0	0
Total	65	26	91

Merged error: 16.7b

Counts

91 → 26

localize31.0ms

Local error

Found 4 expressions with local error:

29.0b	(cos (/ (* z t) 3.0))
29.0b	(cos (/ (* z t) 3.0))
29.0b	(cos (/ (* z t) 3.0))
29.4b	(sin (/ (* z t) 3.0))

rewrite9.0ms

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

series16.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(cos (/ (* z t) 3.0))
4.0ms	(cos (/ (* z t) 3.0))
5.0ms	(cos (/ (* z t) 3.0))
4.0ms	(sin (/ (* z t) 3.0))

simplify117.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	36	186
1	52	158
2	63	158
3	72	158
4	100	158
5	174	158
6	693	158
7	2258	158
8	5001	158

prune294.0ms

Filtered

36 candidates to 40 candidates (-11.1%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	38	2	40
Fresh	1	24	25
Picked	1	0	1
Done	0	0	0
Total	40	26	66

Merged error: 16.6b

Counts

66 → 26

localize38.0ms

Local error

Found 4 expressions with local error:

29.0b	(cos (/ (* z t) 3.0))
29.0b	(cos (/ (* z t) 3.0))
29.0b	(cos (* 0.3333333333333333 (* t z)))
29.4b	(sin (/ (* z t) 3.0))

rewrite9.0ms

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

series14.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify116.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	44	186
1	61	158
2	74	158
3	86	158
4	123	158
5	217	158
6	831	158
7	2762	158
8	5001	158

prune127.0ms

Filtered

34 candidates to 40 candidates (-17.6%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	38	2	40
Fresh	1	24	25
Picked	1	0	1
Done	0	0	0
Total	40	26	66

Merged error: 16.6b

Counts

66 → 26

regimes4.2s

Accuracy

57.5% (1.6b remaining)

Error of 17.8b against oracle of 16.2b and baseline of 20.0b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	49	32
1	49	32

end0.0ms

analyze1.1s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	74.8%	25.2%	10
0%	74.8%	25.2%	11
0%	74.8%	25.2%	12
24.9%	49.9%	25.2%	13
24.9%	37.4%	37.7%	14

sample2.7s

Algorithm

intervals

Results

780.0ms	1571×	body	1280	valid
381.0ms	4512×	body	80	valid
346.0ms	978×	body	640	valid
315.0ms	383×	body	2560	valid
184.0ms	2257×	body	80	nan
100.0ms	378×	body	320	valid
96.0ms	1187×	body	80	invalid
32.0ms	178×	body	160	valid

Details

analyze1.2s

sample90.0ms

simplify11.0ms

prune6.0ms

localize17.0ms

rewrite37.0ms

series64.0ms

simplify45.0ms

prune294.0ms

localize26.0ms

rewrite32.0ms

series75.0ms

simplify58.0ms

prune290.0ms

localize31.0ms

rewrite9.0ms

series16.0ms

simplify117.0ms

prune294.0ms

localize38.0ms

rewrite9.0ms

series14.0ms

simplify116.0ms

prune127.0ms

regimes4.2s

bsearch2.0ms

simplify2.0ms

end0.0ms

analyze1.1s

sample2.7s

Profiling