Details

sample230.0ms

Algorithm

intervals

Results

110.0ms	99×	body	1280	valid
43.0ms	74×	body	640	valid
36.0ms	262×	body	80	valid
19.0ms	47×	body	320	valid
3.0ms	11×	body	160	valid

simplify3.6s

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

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

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:

13.0ms	(* (cosh x) (/ (sin y) y))
8.0ms	(/ (sin y) y)

series145.0ms

Counts

2 → 6

Calls

2 calls:

105.0ms	(* (cosh x) (/ (sin y) y))
40.0ms	(/ (sin y) y)

simplify2.2s

Counts

69 → 69

Iterations

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

prune328.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cosh x) (/ 1 (/ y (sin y))))
0.1b	(/ y (sin y))
0.1b	(/ 1 (/ y (sin y)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
103×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
89×	`add-cube-cbrt`
44×	`associate-r`
35×	`add-exp-log`
19×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1` `associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`cosh-def` `clear-num` `frac-2neg` `associate-/r/`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `un-div-inv` `*-commutative` `pow-flip` `inv-pow`

Counts

3 → 181

Calls

3 calls:

35.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
9.0ms	(/ y (sin y))
16.0ms	(/ 1 (/ y (sin y)))

series192.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
36.0ms	(/ y (sin y))
50.0ms	(/ 1 (/ y (sin y)))

simplify1.9s

Counts

190 → 190

Iterations

Iter	Nodes
done	5000
2	2010
1	680
0	262

prune712.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
0.1b	(/ 1 (sin y))
0.2b	(/ (/ 1 y) (/ 1 (sin y)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

854×	`times-frac`
426×	`add-sqr-sqrt`
397×	`*-un-lft-identity`
391×	`add-cube-cbrt`
174×	`associate-r`
105×	`add-exp-log`
66×	`div-exp`
57×	`div-inv`
35×	`add-cbrt-cube`
17×	`cbrt-undiv` `rec-exp` `1-exp` `prod-exp`
16×	`associate-/r` `associate-/l`
10×	`unswap-sqr`
6×	`pow1`
5×	`cbrt-unprod`
3×	`associate-l` `insert-posit16` `add-log-exp`
2×	`cosh-def` `clear-num` `frac-2neg` `associate-/r/`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `pow-flip` `inv-pow` `associate-/l/`

Counts

3 → 482

Calls

3 calls:

26.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
5.0ms	(/ 1 (sin y))
11.0ms	(/ (/ 1 y) (/ 1 (sin y)))

series191.0ms

Counts

3 → 9

Calls

3 calls:

105.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
27.0ms	(/ 1 (sin y))
58.0ms	(/ (/ 1 y) (/ 1 (sin y)))

simplify3.1s

Counts

491 → 491

Iterations

Iter	Nodes
done	5000
2	4321
1	1992
0	627

prune1.4s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

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:

4.0ms	(cbrt (/ y (sin y)))
4.0ms	(cbrt (/ y (sin y)))
4.0ms	(cbrt (/ y (sin y)))
30.0ms	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))

series852.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(cbrt (/ y (sin y)))
189.0ms	(cbrt (/ y (sin y)))
224.0ms	(cbrt (/ y (sin y)))
250.0ms	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))

simplify2.9s

Counts

160 → 160

Iterations

Iter	Nodes
done	5001
4	4303
3	1501
2	673
1	314
0	171

prune932.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes306.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample7.7s

Algorithm

intervals

Results

2.6s	2916×	body	1280	valid
2.1s	8613×	body	80	valid
1.9s	2487×	body	640	valid
581.0ms	1239×	body	320	valid
166.0ms	626×	body	160	valid