Details

sample340.0ms

Algorithm

intervals

Results

173.0ms	129×	body	80	valid
73.0ms	57×	body	1280	valid
19.0ms	36×	body	640	valid
7.0ms	22×	body	320	valid
5.0ms	256×	pre	80	true
4.0ms	12×	body	160	valid

simplify42.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

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))

rewrite118.0ms

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:

14.0ms	(+ 1.0 (* e (cos v)))
54.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
19.0ms	(* e (cos v))
25.0ms	(* e (sin v))

series389.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(+ 1.0 (* e (cos v)))
156.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
78.0ms	(* e (cos v))
86.0ms	(* e (sin v))

simplify3.1s

Counts

82 → 82

Iterations

Useful iterations: 3 (1.2s)

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

prune365.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

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))

rewrite59.0ms

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:

14.0ms	(* e (cos v))
20.0ms	(* e (sin v))
15.0ms	(pow (* e (cos v)) 3)
8.0ms	(cbrt (pow (* e (cos v)) 3))

series321.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* e (cos v))
83.0ms	(* e (sin v))
105.0ms	(pow (* e (cos v)) 3)
67.0ms	(cbrt (pow (* e (cos v)) 3))

simplify3.7s

Counts

87 → 87

Iterations

Useful iterations: done (3.7s)

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

prune397.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

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)))

rewrite132.0ms

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)))
20.0ms	(* e (cos v))
59.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
31.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series351.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(+ 1.0 (* e (cos v)))
48.0ms	(* e (cos v))
113.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
117.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify3.3s

Counts

140 → 140

Iterations

Useful iterations: 3 (1.7s)

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

prune615.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

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))

rewrite117.0ms

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:

12.0ms	(/ (sqrt e) (+ 1.0 (* e (cos v))))
12.0ms	(* e (cos v))
57.0ms	(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt e) (sin v)))
30.0ms	(* (sqrt e) (sin v))

series477.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(/ (sqrt e) (+ 1.0 (* e (cos v))))
55.0ms	(* e (cos v))
167.0ms	(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt e) (sin v)))
115.0ms	(* (sqrt e) (sin v))

simplify1.9s

Counts

137 → 137

Iterations

Useful iterations: done (1.9s)

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

prune524.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes108.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.3s	1499×	body	1280	valid
813.0ms	1192×	body	640	valid
716.0ms	8000×	pre	80	true
597.0ms	4301×	body	80	valid
330.0ms	687×	body	320	valid
74.0ms	321×	body	160	valid