Details

sample270.0ms

Algorithm

intervals

Results

27.0ms	46×	body	1280	valid
14.0ms	36×	body	640	valid
14.0ms	140×	body	80	valid
8.0ms	23×	body	320	valid
6.0ms	256×	pre	80	true
2.0ms	11×	body	160	valid

simplify516.0ms

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize36.0ms

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))

rewrite60.0ms

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:

25.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
15.0ms	(* e (sin v))
16.0ms	(* e (cos v))

series266.0ms

Counts

3 → 9

Calls

3 calls:

143.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
43.0ms	(* e (sin v))
79.0ms	(* e (cos v))

simplify1.3s

Counts

68 → 68

Iterations

Iter	Nodes
done	5001
2	1505
1	304
0	117

prune482.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite59.0ms

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:

7.0ms	(* e (cos v))
27.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
22.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series308.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(* e (cos v))
109.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
137.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify1.5s

Counts

126 → 126

Iterations

Iter	Nodes
done	5001
2	2885
1	573
0	221

prune794.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize45.0ms

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))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
37×	`*-un-lft-identity` `add-cube-cbrt`
36×	`times-frac`
33×	`associate-l`
25×	`sqrt-prod`
22×	`add-cbrt-cube` `add-exp-log`
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` `associate-/r` `div-exp` `-commutative` `unswap-sqr`
2×	`flip3-+` `flip-+` `div-inv`
1×	`clear-num` `frac-2neg` `associate-*l/`

Counts

4 → 125

Calls

4 calls:

8.0ms	(/ (sqrt e) (+ 1.0 (* e (cos v))))
8.0ms	(* e (cos v))
63.0ms	(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt e) (sin v)))
19.0ms	(* (sqrt e) (sin v))

series484.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(/ (sqrt e) (+ 1.0 (* e (cos v))))
48.0ms	(* e (cos v))
180.0ms	(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt e) (sin v)))
111.0ms	(* (sqrt e) (sin v))

simplify1.9s

Counts

137 → 137

Iterations

Iter	Nodes
done	5000
2	3707
1	723
0	263

prune819.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite71.0ms

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:

11.0ms	(/ e (+ (* (cos v) e) 1.0))
52.0ms	(* (/ e (+ (* (cos v) e) 1.0)) (sin v))
7.0ms	(* (cos v) e)

series269.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(/ e (+ (* (cos v) e) 1.0))
146.0ms	(* (/ e (+ (* (cos v) e) 1.0)) (sin v))
56.0ms	(* (cos v) e)

simplify1.4s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
2	2239
1	427
0	163

prune539.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes144.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.8s	1539×	body	1280	valid
828.0ms	1317×	body	640	valid
631.0ms	4242×	body	80	valid
248.0ms	586×	body	320	valid
157.0ms	8000×	pre	80	true
73.0ms	316×	body	160	valid