Details

sample227.0ms

Algorithm

intervals

Results

49.0ms	50×	body	1280	valid
23.0ms	37×	body	640	valid
17.0ms	124×	body	80	valid
15.0ms	28×	body	320	valid
8.0ms	256×	pre	80	true
5.0ms	17×	body	160	valid

simplify42.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	9	11
1	14	11
2	18	11
3	21	11
4	22	11
done	22	11

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

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))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`add-exp-log` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`associate-r` `associate-l`
3×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv` `associate-/l*`

Counts

3 → 59

Calls

3 calls:

30.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
10.0ms	(* e (sin v))
12.0ms	(* e (cos v))

series239.0ms

Counts

3 → 9

Calls

3 calls:

138.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
47.0ms	(* e (sin v))
53.0ms	(* e (cos v))

simplify2.8s

Counts

68 → 68

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	118	723
1	290	687
2	928	601
3	3444	599
done	5001	599

prune256.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

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))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
18×	`associate-r`
12×	`add-exp-log` `add-cbrt-cube`
7×	`pow1`
6×	`associate-l`
4×	`associate-/r/`
3×	`prod-exp` `associate-/r` `cbrt-unprod` `associate-/l` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `flip3-+` `div-exp` `pow-prod-down` `*-commutative` `flip-+` `div-inv`
1×	`frac-2neg` `associate-*r/` `clear-num`

Counts

3 → 81

Calls

3 calls:

25.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
57.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))
18.0ms	(* e (cos v))

series264.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
133.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))
67.0ms	(* e (cos v))

simplify3.2s

Counts

90 → 90

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	156	1280
1	370	1223
2	1129	1113
3	3659	1103
done	5000	1103

prune439.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
0.1b	(* e (cos v))
0.2b	(* (sqrt e) (* (sqrt e) (sin v)))
0.3b	(* (sqrt e) (sin v))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log` `add-cbrt-cube`
19×	`add-sqr-sqrt`
15×	`associate-l`
13×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
8×	`prod-exp` `cbrt-unprod`
7×	`associate-r` `sqrt-prod`
5×	`pow-prod-down`
4×	`add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-/r` `-commutative` `unswap-sqr`
2×	`associate-/r/`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 86

Calls

4 calls:

50.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
15.0ms	(* e (cos v))
61.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
13.0ms	(* (sqrt e) (sin v))

series466.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
67.0ms	(* e (cos v))
75.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
122.0ms	(* (sqrt e) (sin v))

simplify1.5s

Counts

98 → 98

Iterations

Useful iterations: 2 (424.0ms)

Iter	Nodes	Cost
0	191	1333
1	500	1080
2	1956	924
done	5000	924

prune483.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.2b	(* (sqrt (sqrt e)) (sin v))
0.2b	(* (sqrt e) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v))))
0.3b	(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v)))

rewrite263.0ms

Algorithm

rewrite-expression-head

Rules

27×	`associate-l`
24×	`sqrt-prod`
23×	`add-sqr-sqrt`
22×	`pow1` `add-exp-log` `add-cbrt-cube`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`associate-r`
4×	`*-commutative` `add-log-exp` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

17.0ms	(* e (cos v))
18.0ms	(* (sqrt (sqrt e)) (sin v))
136.0ms	(* (sqrt e) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v))))
89.0ms	(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v)))

series328.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* e (cos v))
125.0ms	(* (sqrt (sqrt e)) (sin v))
60.0ms	(* (sqrt e) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v))))
88.0ms	(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v)))

simplify3.6s

Counts

104 → 104

Iterations

Useful iterations: 3 (2.0s)

Iter	Nodes	Cost
0	152	1275
1	373	967
2	1203	752
3	3771	734
done	5000	734

prune415.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes76.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	12	11
done	12	11

end0.0ms

sample4.3s

Algorithm

intervals

Results

2.3s	1515×	body	1280	valid
664.0ms	1260×	body	640	valid
526.0ms	4245×	body	80	valid
273.0ms	661×	body	320	valid
207.0ms	8000×	pre	80	true
71.0ms	319×	body	160	valid