Details

sample208.0ms

Algorithm

intervals

Results

59.0ms	18×	body	320	valid
39.0ms	54×	body	1280	valid
20.0ms	39×	body	640	valid
15.0ms	137×	body	80	valid
6.0ms	256×	pre	80	true
2.0ms	8×	body	160	valid

simplify47.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	9	283
1	14	283
2	16	283
3	19	283
4	21	283
5	22	283
done	22	283

prune10.0ms

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))

rewrite328.0ms

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:

18.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
15.0ms	(* e (sin v))
16.0ms	(* e (cos v))

series220.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
62.0ms	(* e (sin v))
50.0ms	(* e (cos v))

simplify3.7s

Counts

68 → 68

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	117	18209
1	301	15948
2	956	15788
3	3995	15428
done	5010	15428

prune373.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.1b	(* e (cos v))
0.1b	(* e (cos v))
0.1b	(* e (cos v))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
12×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-exp-log` `add-cube-cbrt`
4×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

11.0ms	(* e (cos v))
13.0ms	(* e (cos v))
7.0ms	(* e (cos v))
7.0ms	(* e (cos v))

series237.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* e (cos v))
65.0ms	(* e (cos v))
58.0ms	(* e (cos v))
46.0ms	(* e (cos v))

simplify7.8s

Counts

84 → 84

Iterations

Useful iterations: 3 (111.0ms)

Iter	Nodes	Cost
0	31	12884
1	63	12440
2	137	12280
3	358	12120
4	992	12120
5	2195	12120
6	3946	12120
done	5001	12120

prune576.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite50.0ms

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:

17.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
22.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))
7.0ms	(* e (cos v))

series256.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
140.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))
47.0ms	(* e (cos v))

simplify1.9s

Counts

90 → 90

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	155	33209
1	400	28706
2	1355	28466
done	5001	27988

prune545.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

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)))

rewrite78.0ms

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:

36.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
13.0ms	(* e (cos v))
22.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series278.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
53.0ms	(* e (cos v))
136.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify2.1s

Counts

126 → 126

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	221	57104
1	562	53767
2	1813	52914
done	5000	52553

prune814.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes227.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	603
1	25	603
done	25	603

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.4s	1521×	body	1280	valid
711.0ms	1224×	body	640	valid
674.0ms	634×	body	320	valid
524.0ms	4337×	body	80	valid
193.0ms	8000×	pre	80	true
62.0ms	284×	body	160	valid