Details

sample172.0ms

Algorithm

intervals

Results

55.0ms	127×	body	80	valid
25.0ms	46×	body	1280	valid
14.0ms	43×	body	640	valid
6.0ms	26×	body	320	valid
4.0ms	256×	pre	80	true
2.0ms	14×	body	160	valid

simplify21.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 0.2b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

30.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
9.0ms	(* e (cos v))
12.0ms	(* e (sin v))

series206.0ms

Counts

3 → 9

Calls

3 calls:

105.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
49.0ms	(* e (cos v))
52.0ms	(* e (sin v))

simplify2.9s

Counts

68 → 68

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	118	723
1	290	687
2	928	601
3	3469	599
done	5001	599

prune237.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 81

Calls

3 calls:

21.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
17.0ms	(* e (cos v))
55.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))

series269.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
60.0ms	(* e (cos v))
129.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))

simplify2.6s

Counts

90 → 90

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	156	1280
1	370	1223
2	1133	1113
3	3714	1103
done	5002	1103

prune311.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

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)))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 117

Calls

3 calls:

18.0ms	(* e (cos v))
48.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
36.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series279.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* e (cos v))
110.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
130.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify3.0s

Counts

126 → 126

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	222	2251
1	500	2154
2	1534	2023
3	4639	2019
done	5001	2019

prune521.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sin v) (+ 1.0 (* e (cos v))))
0.1b	(* e (cos v))
0.2b	(* (sqrt e) (/ (sin v) (+ 1.0 (* e (cos v)))))
0.3b	(* (sqrt e) (* (sqrt e) (/ (sin v) (+ 1.0 (* e (cos v))))))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 110

Calls

4 calls:

25.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
14.0ms	(* e (cos v))
48.0ms	(* (sqrt e) (/ (sin v) (+ 1.0 (* e (cos v)))))
80.0ms	(* (sqrt e) (* (sqrt e) (/ (sin v) (+ 1.0 (* e (cos v))))))

series526.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
66.0ms	(* e (cos v))
201.0ms	(* (sqrt e) (/ (sin v) (+ 1.0 (* e (cos v)))))
174.0ms	(* (sqrt e) (* (sqrt e) (/ (sin v) (+ 1.0 (* e (cos v))))))

simplify1.5s

Counts

122 → 122

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	214	2146
1	541	1952
2	1925	1738
done	5000	1691

prune493.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes97.0ms

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	9	11
1	12	11
done	12	11

end0.0ms

sample4.4s

Algorithm

intervals

Results

1.8s	1488×	body	1280	valid
798.0ms	1204×	body	640	valid
527.0ms	312×	body	160	valid
493.0ms	4339×	body	80	valid
204.0ms	657×	body	320	valid
191.0ms	8000×	pre	80	true