Details

sample399.0ms

Algorithm

intervals

Results

65.0ms	256×	pre	80	true
63.0ms	41×	body	640	valid
58.0ms	53×	body	1280	valid
24.0ms	125×	body	80	valid
13.0ms	19×	body	320	valid
6.0ms	18×	body	160	valid

simplify67.0ms

Counts: 1 → 1

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 3 expressions with local error:

0.1b	(* e (cos v))
0.1b	(* e (sin v))
0.0b	(/ (* e (sin v)) (+ 1 (* e (cos v))))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow1`
6×	`associate-r` `associate-l`
3×	`associate-/r*` `times-frac` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `div-inv` `associate-/l*`

Counts

3 → 62

Calls

3 calls:

Slowest

38.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
18.0ms	(* e (cos v))
16.0ms	(* e (sin v))

series290.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

151.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
80.0ms	(* e (sin v))
58.0ms	(* e (cos v))

simplify1.3s

Counts: 71 → 71

prune727.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ e (/ (+ 1 (* e (cos v))) (sin v)))
0.1b	(/ (+ 1 (* e (cos v))) (sin v))
0.1b	(* e (cos v))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
57×	`add-sqr-sqrt`
55×	`*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
12×	`add-cbrt-cube` `add-exp-log`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `div-exp`
3×	`associate-r` `associate-l` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 120

Calls

3 calls:

Slowest

23.0ms	(/ (+ 1 (* e (cos v))) (sin v))
19.0ms	(* e (cos v))
9.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))

series287.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

122.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))
99.0ms	(/ (+ 1 (* e (cos v))) (sin v))
66.0ms	(* e (cos v))

simplify638.0ms

Counts: 129 → 129

prune1.4s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1 (/ (/ (+ 1 (* e (cos v))) (sin v)) e))
0.3b	(/ (/ (+ 1 (* e (cos v))) (sin v)) e)
0.1b	(/ (+ 1 (* e (cos v))) (sin v))
0.1b	(* e (cos v))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

477×	`times-frac`
242×	`add-sqr-sqrt`
240×	`*-un-lft-identity` `add-cube-cbrt`
49×	`associate-/r*`
34×	`add-exp-log`
23×	`div-inv`
22×	`add-cbrt-cube`
19×	`div-exp` `associate-/l*`
10×	`cbrt-undiv`
7×	`pow1`
4×	`insert-posit16` `add-log-exp`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-r` `associate-l` `associate-/l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip-+` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 321

Calls

4 calls:

Slowest

51.0ms	(/ (/ (+ 1 (* e (cos v))) (sin v)) e)
20.0ms	(/ (+ 1 (* e (cos v))) (sin v))
13.0ms	(/ 1 (/ (/ (+ 1 (* e (cos v))) (sin v)) e))
7.0ms	(* e (cos v))

series420.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

146.0ms	(/ (/ (+ 1 (* e (cos v))) (sin v)) e)
123.0ms	(/ 1 (/ (/ (+ 1 (* e (cos v))) (sin v)) e))
92.0ms	(/ (+ 1 (* e (cos v))) (sin v))
58.0ms	(* e (cos v))

simplify1.3s

Counts: 333 → 333

prune3.6s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (/ (+ 1 (* e (cos v))) (sin v)))
0.2b	(/ (/ 1 (/ (+ 1 (* e (cos v))) (sin v))) (/ 1 e))
0.1b	(/ (+ 1 (* e (cos v))) (sin v))
0.1b	(* e (cos v))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

1985×	`times-frac`
863×	`add-sqr-sqrt`
861×	`*-un-lft-identity` `add-cube-cbrt`
108×	`div-inv`
102×	`add-exp-log`
78×	`div-exp`
50×	`associate-/l*`
34×	`add-cbrt-cube`
29×	`associate-/r*`
19×	`cbrt-undiv`
17×	`rec-exp` `1-exp`
16×	`associate-/r/`
7×	`pow1`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r` `associate-l` `associate-/l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 802

Calls

4 calls:

Slowest

33.0ms	(/ (/ 1 (/ (+ 1 (* e (cos v))) (sin v))) (/ 1 e))
25.0ms	(/ (+ 1 (* e (cos v))) (sin v))
11.0ms	(/ 1 (/ (+ 1 (* e (cos v))) (sin v)))
10.0ms	(* e (cos v))

series372.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

120.0ms	(/ (+ 1 (* e (cos v))) (sin v))
110.0ms	(/ (/ 1 (/ (+ 1 (* e (cos v))) (sin v))) (/ 1 e))
78.0ms	(/ 1 (/ (+ 1 (* e (cos v))) (sin v)))
64.0ms	(* e (cos v))

simplify7.5s

Counts: 814 → 814

prune9.4s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes213.0ms

Accuracy

0% (0.1b remaining)

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

bsearch3.0ms

end0.0ms

sample6.2s

Algorithm

intervals

Results

2.0s	1575×	body	1280	valid
1.7s	1241×	body	640	valid
901.0ms	4255×	body	80	valid
858.0ms	614×	body	320	valid
410.0ms	8000×	pre	80	true
120.0ms	315×	body	160	valid