Details

sample118.0ms

Algorithm

intervals

Results

23.0ms	336×	body	80	nan
23.0ms	51×	body	1280	valid
16.0ms	170×	body	80	valid
12.0ms	16×	body	2560	valid
10.0ms	31×	body	640	valid
3.0ms	10×	body	320	valid
2.0ms	13×	body	160	valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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

prune3.0ms

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: 21.6b

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)))

rewrite22.0ms

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:

4.0ms	(/ (* z t) 3.0)
4.0ms	(/ a (* b 3.0))
6.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
5.0ms	(cos (- y (/ (* z t) 3.0)))

series185.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(/ (* z t) 3.0)
18.0ms	(/ a (* b 3.0))
114.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
37.0ms	(cos (- y (/ (* z t) 3.0)))

simplify51.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (13.0ms)

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

prune328.0ms

Filtered

84 candidates to 59 candidates (70.2%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	64	20	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	20	85

Merged error: 17.9b

Counts

85 → 20

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))))
25.8b	(cos (- y (/ (* z t) 3.0)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 121

Calls

4 calls:

4.0ms	(/ (* z t) 3.0)
6.0ms	(/ (/ a b) 3.0)
6.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
5.0ms	(cos (- y (/ (* z t) 3.0)))

series192.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ (* z t) 3.0)
18.0ms	(/ (/ a b) 3.0)
118.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
35.0ms	(cos (- y (/ (* z t) 3.0)))

simplify71.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	638	872
1	2625	794
2	5001	794

prune447.0ms

Filtered

133 candidates to 102 candidates (76.7%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	131	2	133
Fresh	1	18	19
Picked	1	0	1
Done	0	0	0
Total	133	20	153

Merged error: 17.9b

Counts

153 → 20

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* z t) 3.0)
0.3b	(* (/ 1 b) (/ a 3.0))
0.3b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
25.8b	(cos (- y (/ (* z t) 3.0)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
36×	`add-exp-log`
28×	`times-frac`
26×	`add-cbrt-cube`
23×	`*-un-lft-identity`
21×	`add-cube-cbrt`
16×	`associate-r`
14×	`associate-l`
12×	`prod-exp`
11×	`pow1`
10×	`div-exp`
8×	`cbrt-unprod`
6×	`cbrt-undiv` `unswap-sqr`
4×	`pow-prod-down` `add-log-exp`
3×	`cos-diff` `associate-/r*` `div-inv`
2×	`rec-exp` `cos-sum` `1-exp` `*-commutative`
1×	`distribute-rgt-in` `frac-times` `sub-neg` `frac-2neg` `distribute-lft-in` `associate-r/` `associate-l/` `clear-num` `associate-/l*`

Counts

4 → 107

Calls

4 calls:

5.0ms	(/ (* z t) 3.0)
10.0ms	(* (/ 1 b) (/ a 3.0))
6.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
5.0ms	(cos (- y (/ (* z t) 3.0)))

series184.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ (* z t) 3.0)
16.0ms	(* (/ 1 b) (/ a 3.0))
118.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
33.0ms	(cos (- y (/ (* z t) 3.0)))

simplify71.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	641	718
1	2920	608
2	5001	602

prune371.0ms

Filtered

119 candidates to 82 candidates (68.9%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	19	19
Picked	0	1	1
Done	0	0	0
Total	119	20	139

Merged error: 17.9b

Counts

139 → 20

localize20.0ms

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)))))
25.9b	(cos (- y (* z (/ t 3.0))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
19×	`add-exp-log` `add-cbrt-cube`
16×	`associate-r`
15×	`add-cube-cbrt` `*-un-lft-identity`
13×	`times-frac`
11×	`pow1`
6×	`prod-exp` `cbrt-unprod`
4×	`associate-l` `pow-prod-down` `add-log-exp`
3×	`cbrt-undiv` `cos-diff` `div-exp` `associate-/l*`
2×	`cos-sum` `*-commutative` `div-inv` `unswap-sqr`
1×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `associate-r/` `clear-num` `associate-/r`

Counts

4 → 83

Calls

4 calls:

6.0ms	(* z (/ t 3.0))
4.0ms	(/ a (* b 3.0))
6.0ms	(* (* 2.0 (sqrt x)) (cos (- y (* z (/ t 3.0)))))
3.0ms	(cos (- y (* z (/ t 3.0))))

series187.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* z (/ t 3.0))
20.0ms	(/ a (* b 3.0))
116.0ms	(* (* 2.0 (sqrt x)) (cos (- y (* z (/ t 3.0)))))
33.0ms	(cos (- y (* z (/ t 3.0))))

simplify56.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	476	555
1	2006	480
2	5002	480

prune248.0ms

Filtered

95 candidates to 63 candidates (66.3%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	86	9	95
Fresh	8	10	18
Picked	1	0	1
Done	0	1	1
Total	95	20	115

Merged error: 17.7b

Counts

115 → 20

regimes1.7s

Accuracy

40.6% (2.5b remaining)

Error of 18.4b against oracle of 15.9b and baseline of 20.1b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	31
1	48	31

end0.0ms

sample3.1s

Algorithm

intervals

Results

662.0ms	1469×	body	1280	valid
656.0ms	9189×	body	80	nan
417.0ms	5695×	body	80	valid
315.0ms	990×	body	640	valid
275.0ms	377×	body	2560	valid
102.0ms	420×	body	320	valid
36.0ms	207×	body	160	valid

Details

sample118.0ms

simplify14.0ms

prune3.0ms

localize17.0ms

rewrite22.0ms

series185.0ms

simplify51.0ms

prune328.0ms

localize16.0ms

rewrite26.0ms

series192.0ms

simplify71.0ms

prune447.0ms

localize22.0ms

rewrite31.0ms

series184.0ms

simplify71.0ms

prune371.0ms

localize20.0ms

rewrite22.0ms

series187.0ms

simplify56.0ms

prune248.0ms

regimes1.7s

bsearch2.0ms

simplify2.0ms

end0.0ms

sample3.1s

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