Details

sample335.0ms

Algorithm

intervals

Results

68.0ms	48×	body	1280	valid
59.0ms	256×	pre	80	true
43.0ms	42×	body	640	valid
28.0ms	138×	body	80	valid
11.0ms	16×	body	320	valid
6.0ms	12×	body	160	valid

simplify80.0ms

Counts: 1 → 1

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize44.0ms

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))))

rewrite51.0ms

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

24.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
16.0ms	(* e (sin v))
9.0ms	(* e (cos v))

series230.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

114.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
60.0ms	(* e (cos v))
55.0ms	(* e (sin v))

simplify1.5s

Counts: 71 → 71

prune847.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

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))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

49×	`pow1`
22×	`add-cbrt-cube` `add-exp-log`
20×	`pow-prod-down`
16×	`add-sqr-sqrt`
11×	`prod-exp` `cbrt-unprod`
10×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
4×	`pow-sqr` `*-commutative` `pow-prod-up` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
2×	`pow-plus`
1×	`pow2` `swap-sqr`

Counts

4 → 92

Calls

4 calls:

Slowest

43.0ms	(* (* e (cos v)) (* e (cos v)))
8.0ms	(* e (cos v))
7.0ms	(* e (cos v))
7.0ms	(* e (cos v))

series269.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

108.0ms	(* (* e (cos v)) (* e (cos v)))
57.0ms	(* e (cos v))
52.0ms	(* e (cos v))
51.0ms	(* e (cos v))

simplify675.0ms

Counts: 104 → 104

prune1.4s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

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))

rewrite78.0ms

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

40.0ms	(/ (+ 1 (* e (cos v))) (sin v))
23.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))
13.0ms	(* e (cos v))

series656.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

491.0ms	(/ (+ 1 (* e (cos v))) (sin v))
116.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))
49.0ms	(* e (cos v))

simplify634.0ms

Counts: 129 → 129

prune1.7s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ (sqrt e) (+ 1 (* e (cos v)))) (* (sin v) (sqrt e)))
0.2b	(* (sin v) (sqrt e))
0.1b	(* e (cos v))
0.0b	(/ (sqrt e) (+ 1 (* e (cos v))))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
37×	`*-un-lft-identity` `add-cube-cbrt`
36×	`times-frac`
30×	`associate-l`
25×	`sqrt-prod`
22×	`add-cbrt-cube` `add-exp-log`
13×	`pow1`
10×	`associate-r`
8×	`prod-exp` `cbrt-unprod`
6×	`associate-/l*`
5×	`pow-prod-down`
4×	`associate-/r/` `insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `associate-/r` `div-exp` `-commutative` `unswap-sqr`
2×	`flip3-+` `flip-+` `div-inv`
1×	`clear-num` `frac-2neg` `associate-*l/`

Counts

4 → 129

Calls

4 calls:

Slowest

69.0ms	(* (/ (sqrt e) (+ 1 (* e (cos v)))) (* (sin v) (sqrt e)))
15.0ms	(* (sin v) (sqrt e))
7.0ms	(/ (sqrt e) (+ 1 (* e (cos v))))
7.0ms	(* e (cos v))

series513.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

175.0ms	(* (/ (sqrt e) (+ 1 (* e (cos v)))) (* (sin v) (sqrt e)))
161.0ms	(/ (sqrt e) (+ 1 (* e (cos v))))
109.0ms	(* (sin v) (sqrt e))
69.0ms	(* e (cos v))

simplify1.0s

Counts: 141 → 141

prune2.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes131.0ms

Accuracy

0% (0.1b remaining)

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

bsearch4.0ms

end0.0ms

sample5.7s

Algorithm

intervals

Results

2.3s	1457×	body	1280	valid
1.2s	1227×	body	640	valid
871.0ms	4351×	body	80	valid
501.0ms	8000×	pre	80	true
463.0ms	603×	body	320	valid
140.0ms	362×	body	160	valid