Details

sample230.0ms

Algorithm

intervals

Results

25.0ms	42×	body	1280	valid
16.0ms	41×	body	640	valid
13.0ms	146×	body	80	valid
7.0ms	256×	pre	80	true
4.0ms	15×	body	320	valid
2.0ms	12×	body	160	valid

simplify27.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	24
5	24
4	23
3	21
2	18
1	16
0	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize45.0ms

Local error

Found 3 expressions with local error:

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

rewrite40.0ms

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:

17.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
9.0ms	(* e (cos v))
12.0ms	(* e (sin v))

series313.0ms

Counts

3 → 9

Calls

3 calls:

211.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
41.0ms	(* e (cos v))
60.0ms	(* e (sin v))

simplify1.3s

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
2	840
1	279
0	114

prune370.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

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)))

rewrite99.0ms

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:

17.0ms	(* e (cos v))
17.0ms	(* e (cos v))
13.0ms	(* e (sin v))
48.0ms	(* (* e (cos v)) (* e (cos v)))

series283.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* e (cos v))
56.0ms	(* e (cos v))
58.0ms	(* e (sin v))
106.0ms	(* (* e (cos v)) (* e (cos v)))

simplify2.2s

Counts

104 → 104

Iterations

Iter	Nodes
done	5004
3	2709
2	655
1	198
0	83

prune508.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 3 expressions with local error:

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

rewrite73.0ms

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:

17.0ms	(* e (cos v))
29.0ms	(/ (+ 1 (* e (cos v))) (sin v))
20.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))

series308.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(* e (cos v))
110.0ms	(/ (+ 1 (* e (cos v))) (sin v))
130.0ms	(/ e (/ (+ 1 (* e (cos v))) (sin v)))

simplify1.6s

Counts

129 → 129

Iterations

Iter	Nodes
done	5000
2	1631
1	545
0	216

prune785.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

294×	`times-frac`
196×	`add-sqr-sqrt`
162×	`*-un-lft-identity` `add-cube-cbrt`
93×	`sqrt-prod`
86×	`associate-r`
22×	`add-cbrt-cube` `add-exp-log`
16×	`associate-/r*` `div-inv`
11×	`unswap-sqr`
9×	`associate-l` `associate-/l*`
8×	`pow1`
7×	`cbrt-undiv` `div-exp`
4×	`prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `pow-prod-down` `associate-/r/` `*-commutative` `associate-/l/`
1×	`flip3-+` `associate-*r/` `flip-+`

Counts

4 → 278

Calls

4 calls:

17.0ms	(* e (cos v))
31.0ms	(/ (+ 1 (* e (cos v))) (sin v))
15.0ms	(/ (sqrt e) (/ (+ 1 (* e (cos v))) (sin v)))
95.0ms	(* (sqrt e) (/ (sqrt e) (/ (+ 1 (* e (cos v))) (sin v))))

series489.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* e (cos v))
91.0ms	(/ (+ 1 (* e (cos v))) (sin v))
208.0ms	(/ (sqrt e) (/ (+ 1 (* e (cos v))) (sin v)))
132.0ms	(* (sqrt e) (/ (sqrt e) (/ (+ 1 (* e (cos v))) (sin v))))

simplify2.3s

Counts

290 → 290

Iterations

Iter	Nodes
done	5003
2	3627
1	1112
0	391

prune1.4s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes128.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	18
1	18
0	13

end0.0ms

sample4.8s

Algorithm

intervals

Results

1.9s	1478×	body	1280	valid
1.2s	1263×	body	640	valid
785.0ms	4318×	body	80	valid
314.0ms	635×	body	320	valid
300.0ms	8000×	pre	80	true
127.0ms	306×	body	160	valid