Details

sample198.0ms

Algorithm

intervals

Results

58.0ms	290×	body	80	nan
30.0ms	45×	body	1280	valid
21.0ms	198×	body	80	valid
14.0ms	29×	body	640	valid
7.0ms	7×	body	2560	valid
4.0ms	11×	body	320	valid
2.0ms	7×	body	160	valid

simplify145.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	19
1	33	19
2	58	19
3	82	19
4	97	19
5	104	19
6	106	19
done	106	19

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.3b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* z t) 3.0)
0.2b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.3b	(/ a (* b 3.0))
20.9b	(cos (- y (/ (* z t) 3.0)))

rewrite129.0ms

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:

17.0ms	(/ (* z t) 3.0)
50.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
14.0ms	(/ a (* b 3.0))
42.0ms	(cos (- y (/ (* z t) 3.0)))

series263.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ (* z t) 3.0)
136.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
32.0ms	(/ a (* b 3.0))
60.0ms	(cos (- y (/ (* z t) 3.0)))

simplify1.7s

Counts

113 → 113

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	327	2847
1	666	2377
2	1856	1875
done	5000	1638

prune697.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 13.6b

localize50.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ a (* b 3.0))
0.3b	(* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))
0.4b	(/ t (cbrt 3.0))
20.6b	(cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
49×	`times-frac`
37×	`add-cube-cbrt` `*-un-lft-identity`
32×	`add-exp-log`
24×	`add-cbrt-cube`
23×	`cbrt-prod`
22×	`associate-r`
10×	`cbrt-undiv` `div-exp`
9×	`prod-exp` `cbrt-unprod`
7×	`associate-l` `associate-/r*`
6×	`pow1` `associate-/l*` `unswap-sqr`
5×	`cos-sum`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`prod-diff`
2×	`frac-2neg` `clear-num`
1×	`cos-diff` `frac-times` `sub-neg` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 140

Calls

4 calls:

14.0ms	(/ a (* b 3.0))
84.0ms	(* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))
11.0ms	(/ t (cbrt 3.0))
20.0ms	(cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))))

series435.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ a (* b 3.0))
149.0ms	(* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))
99.0ms	(/ t (cbrt 3.0))
161.0ms	(cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))))

simplify2.0s

Counts

152 → 152

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	256	2208
1	591	2138
2	2068	1722
done	5000	1518

prune1.1s

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 13.5b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ a b) 3.0)
0.3b	(* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))
0.4b	(/ t (cbrt 3.0))
20.6b	(cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

121×	`times-frac`
93×	`add-sqr-sqrt`
77×	`add-cube-cbrt` `*-un-lft-identity`
32×	`add-exp-log`
24×	`add-cbrt-cube`
23×	`cbrt-prod`
22×	`associate-r`
16×	`associate-/l*`
11×	`cbrt-undiv` `div-exp`
9×	`associate-/r*`
8×	`prod-exp` `cbrt-unprod` `div-inv`
7×	`associate-l`
6×	`pow1` `unswap-sqr`
5×	`cos-sum`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`prod-diff`
2×	`frac-2neg` `clear-num`
1×	`cos-diff` `frac-times` `sub-neg` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/`

Counts

4 → 189

Calls

4 calls:

24.0ms	(/ (/ a b) 3.0)
64.0ms	(* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))
11.0ms	(/ t (cbrt 3.0))
31.0ms	(cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))))

series445.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ (/ a b) 3.0)
125.0ms	(* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))
109.0ms	(/ t (cbrt 3.0))
184.0ms	(cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))))

simplify2.3s

Counts

201 → 201

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	353	2885
1	807	2769
2	2474	2351
done	5000	2147

prune1.6s

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 13.5b

localize46.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (/ 1 b) 3.0)
0.3b	(* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))
0.4b	(/ t (cbrt 3.0))
20.6b	(cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

121×	`times-frac`
93×	`add-sqr-sqrt`
77×	`add-cube-cbrt` `*-un-lft-identity`
36×	`add-exp-log`
24×	`add-cbrt-cube`
23×	`cbrt-prod`
22×	`associate-r`
16×	`associate-/l*`
14×	`div-exp`
11×	`cbrt-undiv`
9×	`associate-/r*`
8×	`prod-exp` `cbrt-unprod` `div-inv`
7×	`associate-l`
6×	`pow1` `unswap-sqr`
5×	`cos-sum`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`prod-diff`
2×	`frac-2neg` `clear-num`
1×	`cos-diff` `frac-times` `sub-neg` `rec-exp` `1-exp` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/`

Counts

4 → 191

Calls

4 calls:

20.0ms	(/ (/ 1 b) 3.0)
68.0ms	(* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))
7.0ms	(/ t (cbrt 3.0))
18.0ms	(cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))))

series395.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ (/ 1 b) 3.0)
138.0ms	(* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))
74.0ms	(/ t (cbrt 3.0))
154.0ms	(cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))))

simplify1.9s

Counts

203 → 203

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	346	2892
1	781	2701
2	2236	2260
done	5000	2056

prune1.1s

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 13.5b

regimes3.9s

Accuracy

54% (2.0b remaining)

Error of 18.3b against oracle of 16.3b and baseline of 20.7b

bsearch3.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	58
1	48	58
done	48	58

end0.0ms

sample7.9s

Algorithm

intervals

Results

2.1s	9310×	body	80	nan
1.9s	1644×	body	1280	valid
1.0s	5609×	body	80	valid
524.0ms	909×	body	640	valid
472.0ms	366×	body	2560	valid
231.0ms	412×	body	320	valid
52.0ms	217×	body	160	valid