Details

sample273.0ms

Algorithm

intervals

Results

39.0ms	38×	body	1280	valid
34.0ms	47×	body	640	valid
22.0ms	136×	body	80	valid
12.0ms	25×	body	320	valid
10.0ms	256×	pre	80	true
3.0ms	10×	body	160	valid

simplify80.0ms

Counts: 1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

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))))

rewrite62.0ms

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

26.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
18.0ms	(* e (cos v))
16.0ms	(* e (sin v))

series421.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

196.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
150.0ms	(* e (sin v))
75.0ms	(* e (cos v))

simplify1.4s

Counts: 71 → 71

prune752.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
12×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-exp-log` `add-cube-cbrt`
4×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

Slowest

16.0ms	(* e (cos v))
14.0ms	(* e (cos v))
14.0ms	(* e (cos v))
8.0ms	(* e (cos v))

series186.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

55.0ms	(* e (cos v))
49.0ms	(* e (cos v))
43.0ms	(* e (cos v))
39.0ms	(* e (cos v))

simplify1.9s

Counts: 88 → 88

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

117×	`times-frac`
84×	`add-sqr-sqrt`
78×	`*-un-lft-identity`
66×	`add-cube-cbrt`
24×	`difference-of-squares`
19×	`associate-/r*`
15×	`add-cbrt-cube` `add-exp-log`
10×	`pow1`
9×	`associate-r` `associate-l`
5×	`div-inv`
4×	`insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `associate-/l` `unswap-sqr`
1×	`clear-num` `frac-2neg` `associate-/r/`

Counts

4 → 152

Calls

4 calls:

Slowest

21.0ms	(* e (cos v))
15.0ms	(* e (cos v))
14.0ms	(* e (cos v))
13.0ms	(/ e (/ (- 1 (* (* e (cos v)) (* e (cos v)))) (sin v)))

series362.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

195.0ms	(/ e (/ (- 1 (* (* e (cos v)) (* e (cos v)))) (sin v)))
66.0ms	(* e (cos v))
60.0ms	(* e (cos v))
42.0ms	(* e (cos v))

simplify1.4s

Counts: 164 → 164

prune1.8s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

45×	`associate-l`
42×	`add-sqr-sqrt`
34×	`*-un-lft-identity`
30×	`times-frac`
28×	`add-cube-cbrt`
22×	`add-cbrt-cube` `add-exp-log`
19×	`sqrt-prod`
15×	`pow1`
13×	`associate-r`
12×	`difference-of-squares`
9×	`prod-exp` `cbrt-unprod`
6×	`pow-prod-down`
4×	`*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `associate-/r/`
1×	`flip3--` `associate-*l/` `div-inv` `flip--`

Counts

4 → 118

Calls

4 calls:

Slowest

46.0ms	(* (/ (sqrt e) (- 1 (* (* e (cos v)) (* e (cos v))))) (* (sin v) (sqrt e)))
13.0ms	(* e (cos v))
11.0ms	(* e (cos v))
10.0ms	(* (sin v) (sqrt e))

series391.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

186.0ms	(* (/ (sqrt e) (- 1 (* (* e (cos v)) (* e (cos v))))) (* (sin v) (sqrt e)))
82.0ms	(* (sin v) (sqrt e))
67.0ms	(* e (cos v))
55.0ms	(* e (cos v))

simplify774.0ms

Counts: 130 → 130

prune1.7s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes137.0ms

Accuracy

0% (0.1b remaining)

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

bsearch4.0ms

end0.0ms

sample5.6s

Algorithm

intervals

Results

1.9s	1503×	body	1280	valid
1.2s	1279×	body	640	valid
975.0ms	4335×	body	80	valid
820.0ms	8000×	pre	80	true
304.0ms	570×	body	320	valid
187.0ms	313×	body	160	valid