Details

sample194.0ms

Algorithm

intervals

Results

33.0ms	47×	body	1280	valid
21.0ms	44×	body	640	valid
14.0ms	141×	body	80	valid
8.0ms	18×	body	320	valid
6.0ms	256×	pre	80	true
1.0ms	6×	body	160	valid

simplify8.0ms

Counts: 1 → 1

prune44.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

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))

rewrite80.0ms

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))))
19.0ms	(* e (sin v))
22.0ms	(* e (cos v))

series291.0ms

Counts

3 → 9

Calls

3 calls:

122.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
73.0ms	(* e (sin v))
96.0ms	(* e (cos v))

simplify107.0ms

Counts: 68 → 68

prune286.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* e (cos v)) (* e (cos v)))
0.1b	(* e (cos v))
0.1b	(* e (cos v))
0.1b	(* e (cos v))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

49×	`pow1`
22×	`add-exp-log` `add-cbrt-cube`
20×	`pow-prod-down`
16×	`add-sqr-sqrt`
11×	`prod-exp` `cbrt-unprod`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
4×	`pow-sqr` `*-commutative` `pow-prod-up` `add-log-exp`
3×	`unswap-sqr`
2×	`pow-plus`
1×	`pow2` `swap-sqr`

Counts

4 → 88

Calls

4 calls:

66.0ms	(* (* e (cos v)) (* e (cos v)))
9.0ms	(* e (cos v))
9.0ms	(* e (cos v))
16.0ms	(* e (cos v))

series237.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(* (* e (cos v)) (* e (cos v)))
48.0ms	(* e (cos v))
57.0ms	(* e (cos v))
47.0ms	(* e (cos v))

simplify86.0ms

Counts: 100 → 100

prune379.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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))

rewrite79.0ms

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))))
38.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))
9.0ms	(* e (cos v))

series248.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(/ (sin v) (+ 1.0 (* e (cos v))))
107.0ms	(* e (/ (sin v) (+ 1.0 (* e (cos v)))))
52.0ms	(* e (cos v))

simplify146.0ms

Counts: 90 → 90

prune358.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize22.0ms

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)))

rewrite77.0ms

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:

43.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
9.0ms	(* e (cos v))
14.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series322.0ms

Counts

3 → 9

Calls

3 calls:

121.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
53.0ms	(* e (cos v))
147.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify45.0ms

Counts: 126 → 126

prune501.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes72.0ms

Accuracy

-2.6% (0.1b remaining)

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

bsearch0.0ms

simplify51.0ms

end0.0ms

sample4.6s

Algorithm

intervals

Results

1.5s	1537×	body	1280	valid
988.0ms	4247×	body	80	valid
753.0ms	1257×	body	640	valid
539.0ms	306×	body	160	valid
260.0ms	653×	body	320	valid
154.0ms	8000×	pre	80	true