Details

sample337.0ms

Algorithm

intervals

Results

122.0ms	51×	body	1280	valid
37.0ms	34×	body	640	valid
32.0ms	145×	body	80	valid
13.0ms	256×	pre	80	true
10.0ms	15×	body	320	valid
5.0ms	11×	body	160	valid

simplify44.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	24
5	24
4	23
3	21
2	18
1	16
0	9

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* e (sin v)) (+ 1 (* e (cos v))))
0.1b	(* e (cos v))
0.1b	(* e (sin v))

rewrite84.0ms

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` `insert-posit16` `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 → 62

Calls

3 calls:

27.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
16.0ms	(* e (cos v))
37.0ms	(* e (sin v))

series249.0ms

Counts

3 → 9

Calls

3 calls:

137.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
46.0ms	(* e (cos v))
66.0ms	(* e (sin v))

simplify1.2s

Counts

71 → 71

Iterations

Iter	Nodes
done	2053
3	2053
2	840
1	279
0	114

prune368.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* e (sin v)) (+ 1 (log (exp (* e (cos v))))))
0.1b	(* e (cos v))
0.1b	(* e (sin v))
4.3b	(log (exp (* e (cos v))))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
13×	`add-cbrt-cube` `add-exp-log`
11×	`pow1` `add-cube-cbrt`
6×	`associate-r` `associate-l`
5×	`associate-/r*` `times-frac` `log-pow` `add-log-exp`
4×	`insert-posit16` `distribute-lft-out`
3×	`log-prod` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`exp-prod` `clear-num` `frac-2neg` `flip3-+` `exp-to-pow` `rem-log-exp` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 81

Calls

4 calls:

39.0ms	(/ (* e (sin v)) (+ 1 (log (exp (* e (cos v))))))
15.0ms	(* e (cos v))
16.0ms	(* e (sin v))
4.0ms	(log (exp (* e (cos v))))

series308.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(/ (* e (sin v)) (+ 1 (log (exp (* e (cos v))))))
67.0ms	(* e (cos v))
71.0ms	(* e (sin v))
59.0ms	(log (exp (* e (cos v))))

simplify1.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	2014
3	2014
2	815
1	304
0	132

prune597.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.1b	(* e (cos v))
0.1b	(/ (+ (* e (cos v)) 1) (sin v))
0.2b	(/ e (/ (+ (* e (cos v)) 1) (sin v)))

rewrite62.0ms

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` `insert-posit16` `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 → 120

Calls

3 calls:

8.0ms	(* e (cos v))
29.0ms	(/ (+ (* e (cos v)) 1) (sin v))
24.0ms	(/ e (/ (+ (* e (cos v)) 1) (sin v)))

series292.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(* e (cos v))
102.0ms	(/ (+ (* e (cos v)) 1) (sin v))
121.0ms	(/ e (/ (+ (* e (cos v)) 1) (sin v)))

simplify1.5s

Counts

129 → 129

Iterations

Iter	Nodes
done	2019
3	2019
2	1606
1	544
0	216

prune666.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sin v) (+ (* e (cos v)) 1))
0.1b	(* e (cos v))
0.1b	(/ 1 (/ (sin v) (+ (* e (cos v)) 1)))
0.2b	(/ e (/ 1 (/ (sin v) (+ (* e (cos v)) 1))))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

528×	`times-frac`
259×	`add-sqr-sqrt`
257×	`*-un-lft-identity` `add-cube-cbrt`
68×	`associate-/r*`
40×	`associate-/r/`
38×	`add-exp-log`
23×	`div-inv`
22×	`add-cbrt-cube` `div-exp`
17×	`flip3-+` `flip-+`
10×	`cbrt-undiv`
9×	`associate-/l*`
7×	`pow1`
4×	`rec-exp` `1-exp` `insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r` `associate-l`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 359

Calls

4 calls:

27.0ms	(/ (sin v) (+ (* e (cos v)) 1))
17.0ms	(* e (cos v))
29.0ms	(/ 1 (/ (sin v) (+ (* e (cos v)) 1)))
33.0ms	(/ e (/ 1 (/ (sin v) (+ (* e (cos v)) 1))))

series382.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(/ (sin v) (+ (* e (cos v)) 1))
56.0ms	(* e (cos v))
116.0ms	(/ 1 (/ (sin v) (+ (* e (cos v)) 1)))
133.0ms	(/ e (/ 1 (/ (sin v) (+ (* e (cos v)) 1))))

simplify1.7s

Counts

371 → 371

Iterations

Iter	Nodes
done	2005
2	2005
1	1618
0	578

prune2.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes139.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	16
1	16
0	11

end1.0ms

sample6.4s

Algorithm

intervals

Results

2.5s	1488×	body	1280	valid
1.4s	1221×	body	640	valid
1.3s	4299×	body	80	valid
455.0ms	683×	body	320	valid
427.0ms	8000×	pre	80	true
133.0ms	309×	body	160	valid