Details

sample861.0ms

Algorithm

intervals

Results

663.0ms	26×	body	320	valid
46.0ms	49×	body	1280	valid
25.0ms	43×	body	640	valid
16.0ms	129×	body	80	valid
7.0ms	256×	pre	80	true
3.0ms	9×	body	160	valid

simplify44.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	22
5	22
4	21
3	19
2	16
1	14
0	9

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize35.0ms

Local error

Found 3 expressions with local error:

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

rewrite49.0ms

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:

16.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
7.0ms	(* e (cos v))
10.0ms	(* e (sin v))

series197.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
46.0ms	(* e (cos v))
54.0ms	(* e (sin v))

simplify2.6s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
3	4083
2	958
1	301
0	117

prune449.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

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)))

rewrite63.0ms

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:

12.0ms	(* e (cos v))
20.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
25.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series306.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* e (cos v))
116.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
144.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify1.5s

Counts

126 → 126

Iterations

Iter	Nodes
done	5002
2	1812
1	562
0	221

prune818.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 3 expressions with local error:

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

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
19×	`times-frac`
18×	`associate-r`
12×	`add-cbrt-cube` `add-exp-log`
7×	`pow1`
6×	`associate-l`
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-*r/`

Counts

3 → 81

Calls

3 calls:

22.0ms	(/ (sin v) (+ (* (cos v) e) 1.0))
14.0ms	(* (cos v) e)
39.0ms	(* e (/ (sin v) (+ (* (cos v) e) 1.0)))

series277.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(/ (sin v) (+ (* (cos v) e) 1.0))
71.0ms	(* (cos v) e)
109.0ms	(* e (/ (sin v) (+ (* (cos v) e) 1.0)))

simplify1.6s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
2	1436
1	424
0	162

prune527.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.1b	(/ (sqrt (+ 1.0 (* e (cos v)))) (sin v))
0.3b	(* (/ (sqrt e) (/ (sqrt (+ 1.0 (* e (cos v)))) 1)) (/ (sqrt e) (/ (sqrt (+ 1.0 (* e (cos v)))) (sin v))))
0.3b	(/ (sqrt e) (/ (sqrt (+ 1.0 (* e (cos v)))) (sin v)))

rewrite527.0ms

Algorithm

rewrite-expression-head

Rules

992×	`times-frac`
768×	`add-sqr-sqrt`
502×	`sqrt-prod`
432×	`*-un-lft-identity`
404×	`add-cube-cbrt`
140×	`associate-r` `associate-l`
78×	`unswap-sqr`
61×	`add-exp-log`
49×	`add-cbrt-cube`
31×	`div-exp`
25×	`associate-/r*`
23×	`div-inv`
22×	`cbrt-undiv`
13×	`prod-exp`
12×	`associate-/l*`
10×	`cbrt-unprod`
8×	`pow1`
4×	`add-log-exp`
3×	`1-exp` `associate-/r/`
2×	`clear-num` `frac-2neg` `sqrt-div` `pow-prod-down` `*-commutative` `associate-/l/`
1×	`frac-times` `flip3-+` `associate-l/` `associate-r/` `flip-+`

Counts

4 → 618

Calls

4 calls:

7.0ms	(* e (cos v))
12.0ms	(/ (sqrt (+ 1.0 (* e (cos v)))) (sin v))
412.0ms	(* (/ (sqrt e) (/ (sqrt (+ 1.0 (* e (cos v)))) 1)) (/ (sqrt e) (/ (sqrt (+ 1.0 (* e (cos v)))) (sin v))))
39.0ms	(/ (sqrt e) (/ (sqrt (+ 1.0 (* e (cos v)))) (sin v)))

series610.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* e (cos v))
176.0ms	(/ (sqrt (+ 1.0 (* e (cos v)))) (sin v))
109.0ms	(* (/ (sqrt e) (/ (sqrt (+ 1.0 (* e (cos v)))) 1)) (/ (sqrt e) (/ (sqrt (+ 1.0 (* e (cos v)))) (sin v))))
258.0ms	(/ (sqrt e) (/ (sqrt (+ 1.0 (* e (cos v)))) (sin v)))

simplify2.6s

Counts

630 → 630

Iterations

Iter	Nodes
done	5001
1	2404
0	709

prune3.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes203.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample4.4s

Algorithm

intervals

Results

1.9s	1482×	body	1280	valid
1.2s	1247×	body	640	valid
635.0ms	4281×	body	80	valid
280.0ms	655×	body	320	valid
152.0ms	8000×	pre	80	true
88.0ms	335×	body	160	valid