Details

sample210.0ms

Algorithm

intervals

Results

33.0ms	39×	body	1280	valid
22.0ms	38×	body	640	valid
16.0ms	143×	body	80	valid
7.0ms	19×	body	320	valid
6.0ms	256×	pre	80	true
4.0ms	17×	body	160	valid

simplify19.0ms

Counts

1 → 1

Iterations

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

prune73.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize79.0ms

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))

rewrite104.0ms

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))))
21.0ms	(* e (cos v))
52.0ms	(* e (sin v))

series330.0ms

Counts

3 → 9

Calls

3 calls:

169.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
67.0ms	(* e (cos v))
94.0ms	(* e (sin v))

simplify1.5s

Counts

68 → 68

Iterations

Iter	Nodes
done	5001
2	1506
1	304
0	117

prune328.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

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

rewrite38.0ms

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:

17.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
7.0ms	(* e (cos v))
11.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series305.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
69.0ms	(* e (cos v))
127.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify1.7s

Counts

126 → 126

Iterations

Iter	Nodes
done	5002
2	2887
1	573
0	221

prune768.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize66.0ms

Local error

Found 4 expressions with local error:

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

rewrite334.0ms

Algorithm

rewrite-expression-head

Rules

96×	`times-frac`
84×	`pow1`
57×	`add-sqr-sqrt`
55×	`*-un-lft-identity` `add-cube-cbrt`
35×	`add-cbrt-cube` `pow-prod-down` `add-exp-log`
17×	`prod-exp` `cbrt-unprod`
16×	`associate-/r*`
12×	`cube-unmult` `pow3` `sum-cubes`
8×	`pow-sqr` `pow-prod-up`
5×	`associate-r` `associate-l` `div-inv`
4×	`pow-plus` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `-commutative` `associate-/l`
2×	`pow2` `swap-sqr`
1×	`clear-num` `frac-2neg` `associate-/r/` `unswap-sqr`

Counts

4 → 168

Calls

4 calls:

13.0ms	(* e (cos v))
49.0ms	(* (* e (cos v)) (* e (cos v)))
49.0ms	(* (* e (cos v)) (* e (cos v)))
209.0ms	(/ (sin v) (/ (+ (* (* (* e (cos v)) (* e (cos v))) (* e (cos v))) (* 1.0 (* 1.0 1.0))) e))

series432.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* e (cos v))
72.0ms	(* (* e (cos v)) (* e (cos v)))
86.0ms	(* (* e (cos v)) (* e (cos v)))
203.0ms	(/ (sin v) (/ (+ (* (* (* e (cos v)) (* e (cos v))) (* e (cos v))) (* 1.0 (* 1.0 1.0))) e))

simplify2.7s

Counts

180 → 180

Iterations

Iter	Nodes
done	5001
2	3680
1	670
0	248

prune1.1s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize105.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* e (cos v)) (* e (cos v)))
0.1b	(* (* e (cos v)) (* e (cos v)))
0.2b	(/ (/ (+ (* (* (* e (cos v)) (* e (cos v))) (* e (cos v))) (* 1.0 (* 1.0 1.0))) e) (sin v))
0.7b	(/ 1 (/ (/ (+ (* (* (* e (cos v)) (* e (cos v))) (* e (cos v))) (* 1.0 (* 1.0 1.0))) e) (sin v)))

rewrite521.0ms

Algorithm

rewrite-expression-head

Rules

588×	`times-frac`
270×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
83×	`pow1`
55×	`associate-/r*`
54×	`add-exp-log`
48×	`cube-unmult` `pow3` `sum-cubes`
42×	`add-cbrt-cube`
34×	`pow-prod-down`
22×	`div-inv`
19×	`associate-/l*`
18×	`div-exp`
16×	`prod-exp` `cbrt-unprod`
9×	`cbrt-undiv`
8×	`pow-sqr` `pow-prod-up`
4×	`pow-plus` `add-log-exp`
3×	`rec-exp` `1-exp`
2×	`pow2` `clear-num` `frac-2neg` `swap-sqr` `associate-r` `associate-l` `*-commutative`
1×	`associate-/r/` `pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 386

Calls

4 calls:

49.0ms	(* (* e (cos v)) (* e (cos v)))
26.0ms	(* (* e (cos v)) (* e (cos v)))
229.0ms	(/ (/ (+ (* (* (* e (cos v)) (* e (cos v))) (* e (cos v))) (* 1.0 (* 1.0 1.0))) e) (sin v))
174.0ms	(/ 1 (/ (/ (+ (* (* (* e (cos v)) (* e (cos v))) (* e (cos v))) (* 1.0 (* 1.0 1.0))) e) (sin v)))

series724.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* (* e (cos v)) (* e (cos v)))
72.0ms	(* (* e (cos v)) (* e (cos v)))
281.0ms	(/ (/ (+ (* (* (* e (cos v)) (* e (cos v))) (* e (cos v))) (* 1.0 (* 1.0 1.0))) e) (sin v))
290.0ms	(/ 1 (/ (/ (+ (* (* (* e (cos v)) (* e (cos v))) (* e (cos v))) (* 1.0 (* 1.0 1.0))) e) (sin v)))

simplify1.7s

Counts

398 → 398

Iterations

Iter	Nodes
done	5000
1	1665
0	580

prune2.9s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes241.0ms

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

sample4.2s

Algorithm

intervals

Results

1.6s	1507×	body	1280	valid
831.0ms	617×	body	320	valid
766.0ms	1274×	body	640	valid
506.0ms	4271×	body	80	valid
149.0ms	8000×	pre	80	true
79.0ms	331×	body	160	valid