Details

sample116.0ms

Algorithm

intervals

Results

24.0ms	47×	body	1280	valid
15.0ms	40×	body	640	valid
11.0ms	134×	body	80	valid
6.0ms	256×	pre	80	true
6.0ms	24×	body	320	valid
2.0ms	11×	body	160	valid

simplify42.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

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))

rewrite42.0ms

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:

18.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
9.0ms	(* e (cos v))
12.0ms	(* e (sin v))

series202.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
41.0ms	(* e (cos v))
63.0ms	(* e (sin v))

simplify44.0ms

Counts: 68 → 68

prune173.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite72.0ms

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:

9.0ms	(* e (cos v))
14.0ms	(* e (cos v))
10.0ms	(* e (sin v))
36.0ms	(* (* e (cos v)) (* e (cos v)))

series190.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* e (cos v))
39.0ms	(* e (cos v))
47.0ms	(* e (sin v))
60.0ms	(* (* e (cos v)) (* e (cos v)))

simplify156.0ms

Counts: 100 → 100

prune231.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite60.0ms

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:

14.0ms	(* e (cos v))
26.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
15.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series218.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(* e (cos v))
74.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
99.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify61.0ms

Counts: 126 → 126

prune359.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
18×	`associate-l`
12×	`add-exp-log` `add-cbrt-cube`
7×	`pow1`
6×	`associate-r`
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-*l/` `clear-num`

Counts

3 → 81

Calls

3 calls:

10.0ms	(/ e (+ 1.0 (* e (cos v))))
14.0ms	(* e (cos v))
29.0ms	(* (/ e (+ 1.0 (* e (cos v)))) (sin v))

series202.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(/ e (+ 1.0 (* e (cos v))))
39.0ms	(* e (cos v))
99.0ms	(* (/ e (+ 1.0 (* e (cos v)))) (sin v))

simplify46.0ms

Counts: 90 → 90

prune235.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.6s	1523×	body	1280	valid
493.0ms	1224×	body	640	valid
449.0ms	4310×	body	80	valid
138.0ms	622×	body	320	valid
113.0ms	8000×	pre	80	true
88.0ms	321×	body	160	valid