Details

sample244.0ms

Algorithm

intervals

Results

52.0ms	45×	body	1280	valid
38.0ms	45×	body	640	valid
24.0ms	143×	body	80	valid
11.0ms	256×	pre	80	true
7.0ms	13×	body	320	valid
4.0ms	10×	body	160	valid

simplify59.0ms

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 3 expressions with local error:

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

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

90×	`*-un-lft-identity`
60×	`times-frac`
54×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
37×	`associate-l`
26×	`distribute-lft-out`
24×	`associate-r`
12×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
8×	`*-commutative` `unswap-sqr`
7×	`pow1`
5×	`associate-/r*`
3×	`prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r/`
1×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `div-inv`

Counts

3 → 132

Calls

3 calls:

94.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
18.0ms	(* e (sin v))
20.0ms	(* e (cos v))

series237.0ms

Counts

3 → 9

Calls

3 calls:

128.0ms	(/ (* e (sin v)) (+ 1 (* e (cos v))))
48.0ms	(* e (sin v))
61.0ms	(* e (cos v))

simplify1.2s

Counts

141 → 141

Iterations

Iter	Nodes
done	5044
2	1452
1	424
0	174

prune636.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite305.0ms

Algorithm

rewrite-expression-head

Rules

1680×	`times-frac`
1510×	`*-un-lft-identity`
1060×	`sqrt-prod`
814×	`add-sqr-sqrt`
662×	`add-cube-cbrt`
440×	`associate-l`
424×	`distribute-lft-out`
228×	`associate-r`
114×	`associate-/l*`
76×	`*-commutative` `unswap-sqr`
23×	`associate-/l/`
20×	`sqrt-div` `associate-/r/`
19×	`add-cbrt-cube` `add-exp-log`
16×	`associate-/r*`
10×	`pow1` `flip3-+` `flip-+` `div-inv`
5×	`cbrt-undiv` `div-exp`
4×	`prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`pow-prod-down`
2×	`clear-num` `frac-2neg`

Counts

4 → 1025

Calls

4 calls:

149.0ms	(/ (/ (* e (sin v)) (sqrt (+ 1 (* e (cos v))))) (sqrt (+ 1 (* e (cos v)))))
12.0ms	(* e (sin v))
14.0ms	(* e (cos v))
18.0ms	(* e (cos v))

series267.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(/ (/ (* e (sin v)) (sqrt (+ 1 (* e (cos v))))) (sqrt (+ 1 (* e (cos v)))))
51.0ms	(* e (sin v))
69.0ms	(* e (cos v))
47.0ms	(* e (cos v))

simplify3.2s

Counts

1037 → 1037

Iterations

Iter	Nodes
done	5036
2	4231
1	1646
0	769

prune3.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

141×	`*-un-lft-identity`
132×	`times-frac`
75×	`add-sqr-sqrt`
73×	`add-cube-cbrt`
34×	`distribute-lft-out`
25×	`associate-/r*`
20×	`associate-l`
13×	`associate-/r/` `associate-/l*`
12×	`add-cbrt-cube` `add-exp-log`
6×	`div-inv`
5×	`pow1`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`clear-num` `frac-2neg` `associate-r` `insert-posit16` `add-log-exp`
2×	`flip3-+` `flip-+`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 164

Calls

3 calls:

103.0ms	(/ (+ (* (cos v) e) 1) e)
18.0ms	(* (cos v) e)
74.0ms	(/ (sin v) (/ (+ (* (cos v) e) 1) e))

series238.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(/ (+ (* (cos v) e) 1) e)
67.0ms	(* (cos v) e)
101.0ms	(/ (sin v) (/ (+ (* (cos v) e) 1) e))

simplify1.7s

Counts

173 → 173

Iterations

Iter	Nodes
done	5000
2	1617
1	592
0	230

prune732.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 3 expressions with local error:

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

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
34×	`add-sqr-sqrt`
31×	`times-frac`
27×	`add-cube-cbrt`
24×	`associate-r`
16×	`distribute-lft-out`
14×	`associate-l`
12×	`add-cbrt-cube` `add-exp-log`
11×	`associate-*r/`
10×	`associate-/r*`
7×	`pow1` `associate-/l*`
4×	`associate-/r/`
3×	`clear-num` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `pow-prod-down` `un-div-inv` `*-commutative` `flip-+` `div-inv`

Counts

3 → 110

Calls

3 calls:

35.0ms	(/ e (+ 1 (* (cos v) e)))
143.0ms	(* (sin v) (/ e (+ 1 (* (cos v) e))))
10.0ms	(* (cos v) e)

series255.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(/ e (+ 1 (* (cos v) e)))
119.0ms	(* (sin v) (/ e (+ 1 (* (cos v) e))))
60.0ms	(* (cos v) e)

simplify1.4s

Counts

119 → 119

Iterations

Iter	Nodes
done	5001
2	1510
1	410
0	159

prune476.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 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
done	14
1	14
0	9

end0.0ms

sample5.8s

Algorithm

intervals

Results

2.7s	1447×	body	1280	valid
1.2s	1188×	body	640	valid
937.0ms	4457×	body	80	valid
384.0ms	592×	body	320	valid
288.0ms	8000×	pre	80	true
120.0ms	316×	body	160	valid