Details

sample138.0ms

Algorithm

intervals

Results

43.0ms	78×	body	1280	valid
42.0ms	249×	body	80	valid
29.0ms	80×	body	640	valid
7.0ms	26×	body	320	valid
4.0ms	20×	body	160	valid

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5060
9	4361
8	2115
7	905
6	308
5	134
4	85
3	50
2	28
1	15
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ (sin y) y))
0.1b	(/ (sin y) y)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-r`
9×	`add-cbrt-cube` `add-exp-log`
4×	`pow1`
3×	`associate-/r` `associate-l` `associate-/l`
2×	`cbrt-undiv` `cosh-def` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

2 → 63

Calls

2 calls:

10.0ms	(* (cosh x) (/ (sin y) y))
8.0ms	(/ (sin y) y)

series137.0ms

Counts

2 → 6

Calls

2 calls:

100.0ms	(* (cosh x) (/ (sin y) y))
36.0ms	(/ (sin y) y)

simplify1.9s

Counts

69 → 69

Iterations

Iter	Nodes
done	5013
3	3135
2	955
1	277
0	122

prune210.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (sin y) y) (exp x))
0.0b	(/ (/ (sin y) y) (exp x))
0.1b	(/ (sin y) y)
0.1b	(/ (sin y) y)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 160

Calls

4 calls:

18.0ms	(* (/ (sin y) y) (exp x))
13.0ms	(/ (/ (sin y) y) (exp x))
7.0ms	(/ (sin y) y)
7.0ms	(/ (sin y) y)

series189.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (/ (sin y) y) (exp x))
64.0ms	(/ (/ (sin y) y) (exp x))
41.0ms	(/ (sin y) y)
37.0ms	(/ (sin y) y)

simplify1.5s

Counts

172 → 172

Iterations

Iter	Nodes
done	5003
2	1412
1	493
0	205

prune744.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (sin y) (/ (/ 1 y) (exp x))) (* (/ (sin y) y) (exp x)))
0.0b	(/ (/ 1 y) (exp x))
0.1b	(/ (sin y) y)
0.3b	(* (sin y) (/ (/ 1 y) (exp x)))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

155×	`times-frac`
102×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
90×	`add-cube-cbrt`
43×	`associate-r`
22×	`add-exp-log`
20×	`add-cbrt-cube`
16×	`associate-/l*`
13×	`div-exp`
10×	`div-inv`
7×	`cbrt-undiv`
6×	`pow1` `associate-/r*` `add-log-exp`
5×	`prod-exp`
4×	`insert-posit16` `unswap-sqr`
3×	`associate-l` `cbrt-unprod`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-*r/`
1×	`+-commutative` `sum-log` `flip3-+` `pow-prod-down` `associate-l/` `frac-add` `-commutative` `flip-+` `associate-/l/`

Counts

4 → 183

Calls

4 calls:

29.0ms	(+ (* (sin y) (/ (/ 1 y) (exp x))) (* (/ (sin y) y) (exp x)))
20.0ms	(/ (/ 1 y) (exp x))
12.0ms	(/ (sin y) y)
33.0ms	(* (sin y) (/ (/ 1 y) (exp x)))

series174.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(+ (* (sin y) (/ (/ 1 y) (exp x))) (* (/ (sin y) y) (exp x)))
22.0ms	(/ (/ 1 y) (exp x))
35.0ms	(/ (sin y) y)
43.0ms	(* (sin y) (/ (/ 1 y) (exp x)))

simplify1.8s

Counts

195 → 195

Iterations

Iter	Nodes
done	5009
2	2377
1	773
0	300

prune1.2s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`*-un-lft-identity` `add-cube-cbrt`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 148

Calls

4 calls:

16.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
1.0ms	(cbrt (/ (sin y) y))
1.0ms	(cbrt (/ (sin y) y))
1.0ms	(cbrt (/ (sin y) y))

series747.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
202.0ms	(cbrt (/ (sin y) y))
172.0ms	(cbrt (/ (sin y) y))
181.0ms	(cbrt (/ (sin y) y))

simplify1.5s

Counts

160 → 160

Iterations

Iter	Nodes
done	5000
3	1717
2	755
1	325
0	169

prune731.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes238.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample6.3s

Algorithm

intervals

Results

2.1s	2867×	body	1280	valid
1.7s	2420×	body	640	valid
1.4s	8516×	body	80	valid
462.0ms	1207×	body	320	valid
241.0ms	624×	body	160	valid