Details

sample307.0ms

Algorithm

intervals

Results

17.0ms	40×	body	1280	valid
10.0ms	38×	body	640	valid
9.0ms	147×	body	80	valid
4.0ms	256×	pre	80	true
3.0ms	19×	body	320	valid
1.0ms	12×	body	160	valid

simplify18.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

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))

rewrite17.0ms

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:

6.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
3.0ms	(* e (cos v))
5.0ms	(* e (sin v))

series178.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
34.0ms	(* e (cos v))
56.0ms	(* e (sin v))

simplify474.0ms

Counts

68 → 68

Iterations

Useful iterations: 2 (95.0ms)

Iter	Nodes	Cost
0	118	723
1	307	687
2	1290	601
done	5000	601

prune161.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.1b	(* (* e (cos v)) (* e (cos v)))
0.1b	(pow (* e (cos v)) 3)
0.1b	(* e (sin v))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1`
23×	`add-exp-log` `add-cbrt-cube`
20×	`pow-prod-down`
13×	`add-sqr-sqrt`
11×	`prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r` `associate-l`
4×	`pow-sqr` `pow-prod-up` `add-log-exp`
3×	`pow-unpow` `*-commutative`
2×	`pow-pow` `pow-plus` `pow-exp` `rem-cube-cbrt` `unswap-sqr`
1×	`pow2` `cube-mult` `pow-to-exp` `unpow-prod-down` `unpow3` `cube-prod` `swap-sqr` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

3.0ms	(* e (cos v))
11.0ms	(* (* e (cos v)) (* e (cos v)))
3.0ms	(pow (* e (cos v)) 3)
3.0ms	(* e (sin v))

series189.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* e (cos v))
52.0ms	(* (* e (cos v)) (* e (cos v)))
64.0ms	(pow (* e (cos v)) 3)
36.0ms	(* e (sin v))

simplify618.0ms

Counts

104 → 104

Iterations

Useful iterations: 2 (103.0ms)

Iter	Nodes	Cost
0	108	830
1	254	595
2	1186	549
done	5000	549

prune275.0ms

Pruning

7 alts after pruning (6 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))
0.2b	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

rewrite22.0ms

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:

3.0ms	(* e (cos v))
7.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
7.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series189.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(* e (cos v))
69.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
86.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify723.0ms

Counts

126 → 126

Iterations

Useful iterations: 2 (167.0ms)

Iter	Nodes	Cost
0	222	2251
1	523	2154
2	2214	2023
done	5001	2023

prune336.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
18×	`associate-l`
12×	`add-exp-log` `add-cbrt-cube`
7×	`pow1`
6×	`associate-r`
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-*l/` `clear-num`

Counts

3 → 81

Calls

3 calls:

4.0ms	(/ e (+ 1.0 (* e (cos v))))
6.0ms	(* e (cos v))
13.0ms	(* (/ e (+ 1.0 (* e (cos v)))) (sin v))

series176.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(/ e (+ 1.0 (* e (cos v))))
34.0ms	(* e (cos v))
85.0ms	(* (/ e (+ 1.0 (* e (cos v)))) (sin v))

simplify557.0ms

Counts

90 → 90

Iterations

Useful iterations: 2 (116.0ms)

Iter	Nodes	Cost
0	159	1212
1	396	1165
2	1528	1051
done	5000	1051

prune231.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes77.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	11	13
1	17	11
2	19	11
done	19	11

end0.0ms

sample1.6s

Algorithm

intervals

Results

616.0ms	1467×	body	1280	valid
324.0ms	1198×	body	640	valid
245.0ms	4364×	body	80	valid
114.0ms	648×	body	320	valid
103.0ms	8000×	pre	80	true
44.0ms	323×	body	160	valid