Details

sample282.0ms

Algorithm

intervals

Results

31.0ms	49×	body	1280	valid
17.0ms	43×	body	640	valid
14.0ms	129×	body	80	valid
9.0ms	26×	body	320	valid
5.0ms	256×	pre	80	true
2.0ms	9×	body	160	valid

simplify18.0ms

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: 0.2b

localize49.0ms

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))

rewrite34.0ms

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:

14.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
7.0ms	(* e (cos v))
10.0ms	(* e (sin v))

series566.0ms

Counts

3 → 9

Calls

3 calls:

165.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
332.0ms	(* e (cos v))
68.0ms	(* e (sin v))

simplify1.5s

Counts

68 → 68

Iterations

Iter	Nodes
done	5001
2	1506
1	304
0	117

prune407.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.1b	(* e (cos v))
0.1b	(* e (cos v))
0.2b	(* e (sin v))

rewrite34.0ms

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:

7.0ms	(* e (cos v))
7.0ms	(* e (cos v))
7.0ms	(* e (cos v))
12.0ms	(* e (sin v))

series234.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* e (cos v))
48.0ms	(* e (cos v))
56.0ms	(* e (cos v))
63.0ms	(* e (sin v))

simplify2.8s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
3	1472
2	350
1	113
0	54

prune538.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

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

rewrite260.0ms

Algorithm

rewrite-expression-head

Rules

96×	`times-frac`
65×	`add-sqr-sqrt`
59×	`*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
15×	`add-cbrt-cube` `add-exp-log`
12×	`cube-unmult` `pow3` `sum-cubes`
10×	`pow1`
9×	`associate-r` `associate-l`
5×	`div-inv`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `associate-/l` `unswap-sqr`
1×	`clear-num` `frac-2neg` `associate-/r/`

Counts

4 → 136

Calls

4 calls:

13.0ms	(* e (cos v))
14.0ms	(* e (cos v))
13.0ms	(* e (cos v))
212.0ms	(/ (sin v) (/ (+ (* (* (* e (cos v)) (* e (cos v))) (* e (cos v))) (* 1.0 (* 1.0 1.0))) e))

series350.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* e (cos v))
39.0ms	(* e (cos v))
66.0ms	(* e (cos v))
203.0ms	(/ (sin v) (/ (+ (* (* (* e (cos v)) (* e (cos v))) (* e (cos v))) (* 1.0 (* 1.0 1.0))) e))

simplify2.2s

Counts

148 → 148

Iterations

Iter	Nodes
done	5000
2	3090
1	587
0	224

prune1.2s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

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)))

rewrite54.0ms

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))
28.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
15.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series312.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(* e (cos v))
124.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
141.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify1.7s

Counts

126 → 126

Iterations

Iter	Nodes
done	5001
2	2885
1	573
0	221

prune731.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes214.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	16
1	16
0	13

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.8s	1482×	body	1280	valid
789.0ms	1247×	body	640	valid
629.0ms	4281×	body	80	valid
255.0ms	655×	body	320	valid
208.0ms	8000×	pre	80	true
76.0ms	335×	body	160	valid