Details

sample297.0ms

Algorithm

intervals

Results

18.0ms	40×	body	1280	valid
13.0ms	49×	body	640	valid
7.0ms	140×	body	80	valid
4.0ms	256×	pre	80	true
3.0ms	18×	body	320	valid
1.0ms	9×	body	160	valid

simplify19.0ms

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

localize13.0ms

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))

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 (sin v))
6.0ms	(* e (cos v))

series181.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
38.0ms	(* e (sin v))
54.0ms	(* e (cos v))

simplify1.4s

Counts

68 → 68

Iterations

Useful iterations: 3 (492.0ms)

Iter	Nodes	Cost
0	118	723
1	291	687
2	937	601
3	4073	599
done	5000	599

prune168.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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))

rewrite24.0ms

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:

5.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
13.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))
3.0ms	(* e (cos v))

series169.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
84.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))
38.0ms	(* e (cos v))

simplify1.8s

Counts

90 → 90

Iterations

Useful iterations: 3 (772.0ms)

Iter	Nodes	Cost
0	156	1280
1	377	1223
2	1166	1113
3	4638	1103
done	5000	1103

prune232.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 110

Calls

4 calls:

5.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
6.0ms	(* e (cos v))
15.0ms	(* (sqrt e) (/ (sin v) (+ 1.0 (* e (cos v)))))
19.0ms	(* (sqrt e) (* (sqrt e) (/ (sin v) (+ 1.0 (* e (cos v))))))

series318.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
39.0ms	(* e (cos v))
134.0ms	(* (sqrt e) (/ (sin v) (+ 1.0 (* e (cos v)))))
97.0ms	(* (sqrt e) (* (sqrt e) (/ (sin v) (+ 1.0 (* e (cos v))))))

simplify677.0ms

Counts

122 → 122

Iterations

Useful iterations: done (674.0ms)

Iter	Nodes	Cost
0	214	2146
1	552	1952
2	1959	1738
done	5000	1734

prune324.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
34×	`add-exp-log` `add-cbrt-cube`
27×	`associate-l` `sqrt-prod`
22×	`pow1`
21×	`add-cube-cbrt` `*-un-lft-identity`
20×	`associate-r`
17×	`prod-exp` `cbrt-unprod`
12×	`times-frac`
11×	`pow-prod-down`
7×	`unswap-sqr`
6×	`associate-*r/`
4×	`*-commutative` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`associate-/r/`
1×	`flip3-+` `flip-+` `div-inv`

Counts

4 → 116

Calls

4 calls:

3.0ms	(* e (cos v))
18.0ms	(* (sqrt (sqrt e)) (/ (sin v) (+ 1.0 (* e (cos v)))))
70.0ms	(* (sqrt e) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (/ (sin v) (+ 1.0 (* e (cos v)))))))
26.0ms	(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (/ (sin v) (+ 1.0 (* e (cos v))))))

series425.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* e (cos v))
154.0ms	(* (sqrt (sqrt e)) (/ (sin v) (+ 1.0 (* e (cos v)))))
98.0ms	(* (sqrt e) (* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (/ (sin v) (+ 1.0 (* e (cos v)))))))
139.0ms	(* (sqrt (sqrt e)) (* (sqrt (sqrt e)) (/ (sin v) (+ 1.0 (* e (cos v))))))

simplify937.0ms

Counts

128 → 128

Iterations

Useful iterations: done (933.0ms)

Iter	Nodes	Cost
0	286	2810
1	796	2396
2	2961	1969
done	5001	1965

prune327.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes109.0ms

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
done	17	11

end0.0ms

sample1.6s

Algorithm

intervals

Results

643.0ms	1531×	body	1280	valid
330.0ms	1254×	body	640	valid
231.0ms	4289×	body	80	valid
114.0ms	628×	body	320	valid
112.0ms	8000×	pre	80	true
37.0ms	298×	body	160	valid