Details

sample173.0ms

Algorithm

intervals

Results

48.0ms	23×	body	320	valid
30.0ms	52×	body	1280	valid
11.0ms	140×	body	80	valid
11.0ms	30×	body	640	valid
5.0ms	256×	pre	80	true
2.0ms	11×	body	160	valid

simplify34.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

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))

rewrite62.0ms

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:

37.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
10.0ms	(* e (sin v))
11.0ms	(* e (cos v))

series284.0ms

Counts

3 → 9

Calls

3 calls:

167.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
58.0ms	(* e (sin v))
59.0ms	(* e (cos v))

simplify990.0ms

Counts

68 → 68

Iterations

Useful iterations: done (988.0ms)

Iter	Nodes	Cost
0	118	723
1	306	687
2	1510	609
done	5000	605

prune284.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 117

Calls

3 calls:

29.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
9.0ms	(* e (cos v))
15.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series256.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
39.0ms	(* e (cos v))
116.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify1.6s

Counts

126 → 126

Iterations

Useful iterations: 2 (556.0ms)

Iter	Nodes	Cost
0	222	2251
1	576	2170
2	2903	2033
done	5000	2033

prune560.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 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) (sin v))
0.3b	(* (sqrt e) (* (sqrt e) (sin v)))

rewrite191.0ms

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:

76.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
18.0ms	(* e (cos v))
26.0ms	(* (sqrt e) (sin v))
65.0ms	(* (sqrt e) (* (sqrt e) (sin v)))

series366.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
47.0ms	(* e (cos v))
93.0ms	(* (sqrt e) (sin v))
60.0ms	(* (sqrt e) (* (sqrt e) (sin v)))

simplify1.9s

Counts

98 → 98

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	191	1333
1	526	1248
2	2982	948
done	5001	930

prune404.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite215.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

11.0ms	(* e (cos v))
25.0ms	(* (sqrt e) (sin v))
116.0ms	(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (* (sqrt e) (sin v))))
60.0ms	(* (sqrt (sqrt e)) (* (sqrt e) (sin v)))

series453.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* e (cos v))
112.0ms	(* (sqrt e) (sin v))
84.0ms	(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (* (sqrt e) (sin v))))
193.0ms	(* (sqrt (sqrt e)) (* (sqrt e) (sin v)))

simplify1.3s

Counts

103 → 103

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	152	1227
1	394	1043
2	1805	809
done	5001	776

prune455.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes146.0ms

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

sample4.7s

Algorithm

intervals

Results

2.3s	1521×	body	1280	valid
805.0ms	1241×	body	640	valid
515.0ms	4334×	body	80	valid
444.0ms	8000×	pre	80	true
217.0ms	612×	body	320	valid
71.0ms	292×	body	160	valid