Details

sample272.0ms

Algorithm

intervals

Results

78.0ms	36×	body	640	valid
56.0ms	57×	body	1280	valid
19.0ms	129×	body	80	valid
12.0ms	22×	body	320	valid
9.0ms	256×	pre	80	true
6.0ms	12×	body	160	valid

simplify24.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	9	11
1	14	11
2	18	11
3	21	11
4	22	11
done	22	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (* e (cos v)))
0.0b	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
0.1b	(* e (cos v))
0.1b	(* e (sin v))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`pow1`
6×	`associate-r` `associate-l` `add-log-exp`
3×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `flip3-+` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `flip-+` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `clear-num` `sum-log` `div-inv` `associate-/l*`

Counts

4 → 70

Calls

4 calls:

12.0ms	(+ 1.0 (* e (cos v)))
34.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
10.0ms	(* e (cos v))
13.0ms	(* e (sin v))

series358.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(+ 1.0 (* e (cos v)))
151.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
57.0ms	(* e (cos v))
79.0ms	(* e (sin v))

simplify2.9s

Counts

82 → 82

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	127	865
1	311	822
2	972	724
3	3548	722
done	5000	722

prune321.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.1b	(* e (sin v))
0.1b	(pow (* e (cos v)) 3)
38.3b	(cbrt (pow (* e (cos v)) 3))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`cbrt-prod`
6×	`associate-r` `associate-l`
4×	`add-log-exp`
3×	`pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `pow-exp` `*-commutative` `rem-cube-cbrt` `unswap-sqr` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `rem-cbrt-cube`

Counts

4 → 75

Calls

4 calls:

19.0ms	(* e (cos v))
19.0ms	(* e (sin v))
15.0ms	(pow (* e (cos v)) 3)
8.0ms	(cbrt (pow (* e (cos v)) 3))

series285.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* e (cos v))
72.0ms	(* e (sin v))
80.0ms	(pow (* e (cos v)) 3)
67.0ms	(cbrt (pow (* e (cos v)) 3))

simplify3.5s

Counts

87 → 87

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	102	661
1	196	538
2	593	501
3	3187	501
done	5000	497

prune326.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (* e (cos v)))
0.1b	(* e (cos v))
0.1b	(/ (+ 1.0 (* e (cos v))) (sin v))
0.2b	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
58×	`add-sqr-sqrt`
56×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
13×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `div-inv` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`associate-r` `associate-l`
2×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `associate-/r/` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 128

Calls

4 calls:

14.0ms	(+ 1.0 (* e (cos v)))
23.0ms	(* e (cos v))
50.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
17.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series378.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(+ 1.0 (* e (cos v)))
41.0ms	(* e (cos v))
104.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
168.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify3.3s

Counts

140 → 140

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	231	2393
1	522	2280
2	1570	2146
3	4764	2142
done	5000	2142

prune621.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt e) (+ 1.0 (* e (cos v))))
0.1b	(* e (cos v))
0.3b	(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt e) (sin v)))
0.3b	(* (sqrt e) (sin v))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
37×	`add-cube-cbrt` `*-un-lft-identity`
36×	`times-frac`
33×	`associate-l`
25×	`sqrt-prod`
22×	`add-exp-log` `add-cbrt-cube`
13×	`pow1`
8×	`prod-exp` `cbrt-unprod`
7×	`associate-r`
6×	`associate-/l*`
5×	`pow-prod-down`
4×	`associate-/r/` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/r` `-commutative` `unswap-sqr`
2×	`flip3-+` `flip-+` `div-inv`
1×	`frac-2neg` `associate-*l/` `clear-num`

Counts

4 → 125

Calls

4 calls:

24.0ms	(/ (sqrt e) (+ 1.0 (* e (cos v))))
18.0ms	(* e (cos v))
84.0ms	(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt e) (sin v)))
14.0ms	(* (sqrt e) (sin v))

series465.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(/ (sqrt e) (+ 1.0 (* e (cos v))))
47.0ms	(* e (cos v))
160.0ms	(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt e) (sin v)))
107.0ms	(* (sqrt e) (sin v))

simplify1.8s

Counts

137 → 137

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	264	2225
1	689	1983
2	2445	1775
done	5000	1740

prune567.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes123.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	15	14
done	15	14

end0.0ms

sample4.7s

Algorithm

intervals

Results

2.2s	1499×	body	1280	valid
973.0ms	4301×	body	80	valid
623.0ms	1192×	body	640	valid
362.0ms	687×	body	320	valid
194.0ms	8000×	pre	80	true
76.0ms	321×	body	160	valid