Details

sample182.0ms

Algorithm

intervals

Results

37.0ms	46×	body	1280	valid
25.0ms	43×	body	640	valid
17.0ms	127×	body	80	valid
10.0ms	26×	body	320	valid
7.0ms	256×	pre	80	true
4.0ms	14×	body	160	valid

simplify72.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

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))

rewrite67.0ms

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:

33.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
17.0ms	(* e (cos v))
12.0ms	(* e (sin v))

series301.0ms

Counts

3 → 9

Calls

3 calls:

135.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
67.0ms	(* e (cos v))
98.0ms	(* e (sin v))

simplify749.0ms

Counts: 68 → 68

prune262.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite80.0ms

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:

26.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
17.0ms	(* e (cos v))
31.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))

series267.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
57.0ms	(* e (cos v))
154.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))

simplify866.0ms

Counts: 90 → 90

prune325.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite83.0ms

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:

18.0ms	(* e (cos v))
42.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
14.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series305.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(* e (cos v))
112.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
141.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify994.0ms

Counts: 126 → 126

prune535.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite155.0ms

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:

21.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
17.0ms	(* e (cos v))
63.0ms	(* (sqrt e) (/ (sin v) (+ 1.0 (* e (cos v)))))
50.0ms	(* (sqrt e) (* (sqrt e) (/ (sin v) (+ 1.0 (* e (cos v))))))

series493.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
46.0ms	(* e (cos v))
225.0ms	(* (sqrt e) (/ (sin v) (+ 1.0 (* e (cos v)))))
157.0ms	(* (sqrt e) (* (sqrt e) (/ (sin v) (+ 1.0 (* e (cos v))))))

simplify1.3s

Counts: 122 → 122

prune390.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes105.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify32.0ms

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.3s	1488×	body	1280	valid
1.0s	1204×	body	640	valid
760.0ms	8000×	pre	80	true
506.0ms	4339×	body	80	valid
217.0ms	657×	body	320	valid
69.0ms	312×	body	160	valid