Details

sample526.0ms

Algorithm

intervals

Results

305.0ms	72×	body	1280	valid
34.0ms	130×	body	80	valid
28.0ms	24×	body	640	valid
18.0ms	256×	pre	80	true
17.0ms	21×	body	320	valid
5.0ms	9×	body	160	valid

simplify40.0ms

Counts

1 → 1

Iterations

Iter	Nodes
6	22
5	22
4	21
3	19
2	16
1	14
0	9

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

9.0ms	(+ 1 (* e (cos v)))
14.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
8.0ms	(* e (cos v))
13.0ms	(* e (sin v))

series318.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(+ 1 (* e (cos v)))
99.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
64.0ms	(* e (cos v))
98.0ms	(* e (sin v))

simplify2.4s

Counts

86 → 86

Iterations

Iter	Nodes
3	3411
2	870
1	297
0	124

prune937.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

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)))

rewrite85.0ms

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:

8.0ms	(* e (cos v))
14.0ms	(* e (cos v))
15.0ms	(* e (sin v))
46.0ms	(* (* e (cos v)) (* e (cos v)))

series690.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* e (cos v))
54.0ms	(* e (cos v))
54.0ms	(* e (sin v))
530.0ms	(* (* e (cos v)) (* e (cos v)))

simplify1.2s

Counts

104 → 104

Iterations

Iter	Nodes
3	2802
2	550
1	177
0	83

prune1.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 132

Calls

4 calls:

5.0ms	(+ 1 (* e (cos v)))
8.0ms	(* e (cos v))
34.0ms	(/ (+ 1 (* e (cos v))) (sin v))
10.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))

series279.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(+ 1 (* e (cos v)))
41.0ms	(* e (cos v))
78.0ms	(/ (+ 1 (* e (cos v))) (sin v))
106.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))

simplify7.1s

Counts

144 → 144

Iterations

Iter	Nodes
3	5571
2	1560
1	559
0	226

prune1.5s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

11.0ms	(+ (* e (cos v)) 1)
28.0ms	(/ (sin v) (+ (* e (cos v)) 1))
15.0ms	(* e (cos v))
61.0ms	(* e (/ (sin v) (+ (* e (cos v)) 1)))

series271.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(+ (* e (cos v)) 1)
62.0ms	(/ (sin v) (+ (* e (cos v)) 1))
49.0ms	(* e (cos v))
100.0ms	(* e (/ (sin v) (+ (* e (cos v)) 1)))

simplify2.0s

Counts

108 → 108

Iterations

Iter	Nodes
3	3671
2	1203
1	389
0	158

prune1.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes146.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	12
1	12
0	9

end0.0ms

sample6.2s

Algorithm

intervals

Results

2.3s	1566×	body	1280	valid
1.9s	1269×	body	640	valid
861.0ms	4306×	body	80	valid
384.0ms	566×	body	320	valid
373.0ms	8000×	pre	80	true
118.0ms	293×	body	160	valid