Details

sample391.0ms

Algorithm

intervals

Results

22.0ms	52×	body	1280	valid
10.0ms	40×	body	640	valid
8.0ms	138×	body	80	valid
4.0ms	256×	pre	80	true
3.0ms	20×	body	320	valid
1.0ms	6×	body	160	valid

simplify14.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	6
1	18	6
2	21	6
3	22	6
4	22	6
done	22	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

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))

rewrite39.0ms

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:

15.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
8.0ms	(* e (cos v))
13.0ms	(* e (sin v))

series185.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
37.0ms	(* e (cos v))
54.0ms	(* e (sin v))

simplify41.0ms

Counts

68 → 68

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	295	396
1	1372	344
2	5001	344
done	5001	344

prune162.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite51.0ms

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:

8.0ms	(* e (cos v))
25.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
14.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series198.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(* e (cos v))
71.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
90.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify63.0ms

Counts

126 → 126

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	518	1298
1	2327	1224
2	5001	1224
done	5001	1224

prune325.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 125

Calls

4 calls:

10.0ms	(/ (sqrt e) (+ 1.0 (* e (cos v))))
8.0ms	(* e (cos v))
49.0ms	(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt e) (sin v)))
12.0ms	(* (sqrt e) (sin v))

series309.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(/ (sqrt e) (+ 1.0 (* e (cos v))))
39.0ms	(* e (cos v))
103.0ms	(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt e) (sin v)))
77.0ms	(* (sqrt e) (sin v))

simplify88.0ms

Counts

137 → 137

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	702	1261
1	3232	1095
2	5001	1092
done	5001	1092

prune337.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

42×	`associate-l`
40×	`sqrt-prod`
34×	`add-sqr-sqrt`
32×	`add-exp-log` `add-cbrt-cube`
26×	`add-cube-cbrt` `*-un-lft-identity`
22×	`pow1`
18×	`times-frac`
16×	`prod-exp` `cbrt-unprod`
10×	`pow-prod-down`
5×	`associate-r`
4×	`sqrt-pow1` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `*-commutative` `unswap-sqr`
2×	`rem-sqrt-square` `pow1/2` `associate-/r/`
1×	`flip3-+` `associate-*l/` `flip-+` `div-inv`

Counts

4 → 118

Calls

4 calls:

2.0ms	(sqrt (sqrt e))
117.0ms	(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v))))
39.0ms	(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v)))
16.0ms	(* (sqrt (sqrt e)) (sin v))

series404.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(sqrt (sqrt e))
101.0ms	(* (/ (sqrt e) (+ 1.0 (* e (cos v)))) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v))))
74.0ms	(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (sin v)))
101.0ms	(* (sqrt (sqrt e)) (sin v))

simplify81.0ms

Counts

130 → 130

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	705	1243
1	3281	1000
2	5001	956
done	5001	956

prune324.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes86.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	6
1	12	6
done	12	6

end0.0ms

sample1.7s

Algorithm

intervals

Results

621.0ms	1476×	body	1280	valid
334.0ms	1308×	body	640	valid
238.0ms	4349×	body	80	valid
106.0ms	593×	body	320	valid
97.0ms	8000×	pre	80	true
33.0ms	274×	body	160	valid