Details

sample319.0ms

Algorithm

intervals

Results

115.0ms	53×	body	1280	valid
30.0ms	46×	body	640	valid
19.0ms	133×	body	80	valid
8.0ms	18×	body	320	valid
8.0ms	256×	pre	80	true
2.0ms	6×	body	160	valid

simplify90.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

12.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
7.0ms	(* e (sin v))
9.0ms	(* e (cos v))

series281.0ms

Counts

3 → 9

Calls

3 calls:

130.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
54.0ms	(* e (sin v))
97.0ms	(* e (cos v))

simplify1.1s

Counts

68 → 68

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	117	723
1	304	687
2	1505	613
done	5001	605

prune404.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 117

Calls

3 calls:

14.0ms	(* e (cos v))
25.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
11.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series343.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(* e (cos v))
128.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
165.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify1.1s

Counts

126 → 126

Iterations

Useful iterations: 2 (426.0ms)

Iter	Nodes	Cost
0	221	2251
1	573	2170
2	2885	2037
done	5001	2037

prune714.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
19×	`times-frac`
18×	`associate-l`
12×	`add-cbrt-cube` `add-exp-log`
7×	`pow1`
6×	`associate-r`
4×	`associate-/r/`
3×	`associate-/r` `prod-exp` `cbrt-unprod` `associate-/l` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `flip3-+` `div-exp` `pow-prod-down` `*-commutative` `flip-+` `div-inv`
1×	`clear-num` `frac-2neg` `associate-*l/`

Counts

3 → 81

Calls

3 calls:

7.0ms	(/ e (+ 1.0 (* e (cos v))))
6.0ms	(* e (cos v))
27.0ms	(* (/ e (+ 1.0 (* e (cos v)))) (sin v))

series269.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(/ e (+ 1.0 (* e (cos v))))
67.0ms	(* e (cos v))
120.0ms	(* (/ e (+ 1.0 (* e (cos v)))) (sin v))

simplify1.1s

Counts

90 → 90

Iterations

Useful iterations: 2 (303.0ms)

Iter	Nodes	Cost
0	158	1212
1	406	1165
2	2053	1063
done	5000	1063

prune574.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

90×	`associate-l`
77×	`add-sqr-sqrt`
76×	`times-frac` `sqrt-prod`
59×	`*-un-lft-identity` `add-cube-cbrt`
34×	`add-cbrt-cube` `add-exp-log`
15×	`pow1`
14×	`prod-exp` `cbrt-unprod`
10×	`associate-r`
7×	`unswap-sqr`
6×	`cbrt-undiv` `div-exp` `pow-prod-down`
4×	`sqrt-div` `associate-l/` `associate-/r/` `-commutative` `add-log-exp`
2×	`flip3-+` `flip-+` `div-inv`
1×	`frac-times` `associate-*r/`

Counts

4 → 168

Calls

4 calls:

10.0ms	(* e (cos v))
7.0ms	(* e (cos v))
75.0ms	(* (/ (sqrt e) (sqrt (+ 1.0 (* e (cos v))))) (* (/ (sqrt e) (sqrt (+ 1.0 (* e (cos v))))) (sin v)))
63.0ms	(* (/ (sqrt e) (sqrt (+ 1.0 (* e (cos v))))) (sin v))

series499.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* e (cos v))
66.0ms	(* e (cos v))
142.0ms	(* (/ (sqrt e) (sqrt (+ 1.0 (* e (cos v))))) (* (/ (sqrt e) (sqrt (+ 1.0 (* e (cos v))))) (sin v)))
247.0ms	(* (/ (sqrt e) (sqrt (+ 1.0 (* e (cos v))))) (sin v))

simplify1.6s

Counts

180 → 180

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	245	3654
1	690	3495
2	3662	3049
done	5002	2795

prune948.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes208.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	12	11
done	12	11

end0.0ms

sample4.5s

Algorithm

intervals

Results

1.7s	1472×	body	1280	valid
776.0ms	4352×	body	80	valid
723.0ms	1261×	body	640	valid
689.0ms	576×	body	320	valid
166.0ms	8000×	pre	80	true
80.0ms	339×	body	160	valid