Details

sample104.0ms

Algorithm

intervals

Results

24.0ms	61×	body	1280	valid
18.0ms	308×	body	80	nan
15.0ms	174×	body	80	valid
8.0ms	30×	body	640	valid
8.0ms	12×	body	2560	valid
2.0ms	9×	body	320	valid
1.0ms	4×	body	160	valid

simplify17.0ms

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: 22.3b

Counts

2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.3b	(/ a (* b 3.0))
0.4b	(/ (* z t) 3.0)
25.1b	(cos (- y (/ (* z t) 3.0)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cos-sum`
22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
21×	`prod-diff`
19×	`add-exp-log` `add-cbrt-cube`
15×	`times-frac`
9×	`pow1`
5×	`prod-exp` `cbrt-unprod` `div-inv`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
3×	`cos-diff` `associate-r` `pow-prod-down`
2×	`frac-2neg` `clear-num`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `*-commutative`

Counts

4 → 101

Calls

4 calls:

10.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
4.0ms	(/ a (* b 3.0))
5.0ms	(/ (* z t) 3.0)
9.0ms	(cos (- y (/ (* z t) 3.0)))

series180.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
20.0ms	(/ a (* b 3.0))
19.0ms	(/ (* z t) 3.0)
41.0ms	(cos (- y (/ (* z t) 3.0)))

simplify80.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	685	1511
1	2361	1261
2	5001	1258

prune477.0ms

Filtered

113 candidates to 72 candidates (63.7%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	92	21	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	21	114

Merged error: 18.3b

Counts

114 → 21

localize27.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (* z t) 3.0)
2.3b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
29.5b	(sin (/ (* z t) 3.0))
29.6b	(cos (/ (* z t) 3.0))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log` `add-cbrt-cube`
16×	`pow1`
9×	`prod-exp` `cbrt-unprod`
8×	`pow-prod-down`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-/r*`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `associate-r/` `associate-r` `associate-l` `clear-num` `-commutative` `div-inv` `sin-mult` `associate-/l*`

Counts

4 → 66

Calls

4 calls:

5.0ms	(/ (* z t) 3.0)
10.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
2.0ms	(sin (/ (* z t) 3.0))
3.0ms	(cos (/ (* z t) 3.0))

series153.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ (* z t) 3.0)
103.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
17.0ms	(sin (/ (* z t) 3.0))
11.0ms	(cos (/ (* z t) 3.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	311	521
1	1304	420
2	5001	418

prune455.0ms

Filtered

78 candidates to 55 candidates (70.5%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	71	7	78
Fresh	1	19	20
Picked	1	0	1
Done	0	0	0
Total	73	26	99

Merged error: 18.3b

Counts

99 → 26

localize39.0ms

Local error

Found 4 expressions with local error:

29.5b	(sin (/ (* z t) 3.0))
29.5b	(sin (/ (* z t) 3.0))
29.5b	(sin (/ (* z t) 3.0))
29.6b	(cos (/ (* z t) 3.0))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 36

Calls

4 calls:

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

series61.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(sin (/ (* z t) 3.0))
17.0ms	(sin (/ (* z t) 3.0))
17.0ms	(sin (/ (* z t) 3.0))
11.0ms	(cos (/ (* z t) 3.0))

simplify125.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	40	222
1	56	194
2	67	194
3	76	194
4	104	194
5	178	194
6	697	194
7	2269	194
8	5001	194

prune437.0ms

Filtered

48 candidates to 44 candidates (91.7%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	1	24	25
Picked	1	0	1
Done	0	0	0
Total	47	27	74

Merged error: 18.3b

Counts

74 → 27

localize38.0ms

Local error

Found 4 expressions with local error:

29.5b	(sin (/ (* z t) 3.0))
29.5b	(sin (/ (* z t) 3.0))
29.5b	(sin (/ (* z t) 3.0))
29.6b	(cos (/ (* z t) 3.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 36

Calls

4 calls:

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

series68.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(sin (/ (* z t) 3.0))
17.0ms	(sin (/ (* z t) 3.0))
17.0ms	(sin (/ (* z t) 3.0))
12.0ms	(cos (/ (* z t) 3.0))

simplify123.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	40	222
1	56	194
2	67	194
3	76	194
4	104	194
5	178	194
6	697	194
7	2269	194
8	5001	194

prune344.0ms

Filtered

48 candidates to 44 candidates (91.7%)

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	26	26
Picked	0	1	1
Done	0	0	0
Total	48	27	75

Merged error: 18.3b

Counts

75 → 27

regimes2.9s

Accuracy

57.8% (1.8b remaining)

Error of 18.5b against oracle of 16.8b and baseline of 21.0b

bsearch3.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	46
1	55	46

end0.0ms

sample2.9s

Algorithm

intervals

Results

650.0ms	1561×	body	1280	valid
547.0ms	8964×	body	80	nan
349.0ms	5578×	body	80	valid
279.0ms	981×	body	640	valid
250.0ms	364×	body	2560	valid
87.0ms	423×	body	320	valid
28.0ms	199×	body	160	valid