Details

sample115.0ms

Algorithm

intervals

Results

36.0ms	299×	body	80	valid
32.0ms	87×	body	1280	valid
19.0ms	82×	body	640	valid
7.0ms	44×	body	320	valid
2.0ms	17×	body	160	valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	763
5	187
4	100
3	56
2	28
1	15
0	6

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

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×	`expm1-log1p-u` `cbrt-undiv` `cosh-def` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

2 → 65

Calls

2 calls:

28.0ms	(* (cosh x) (/ (sin y) y))
13.0ms	(/ (sin y) y)

series175.0ms

Counts

2 → 6

Calls

2 calls:

122.0ms	(* (cosh x) (/ (sin y) y))
53.0ms	(/ (sin y) y)

simplify1.2s

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
2	1306
1	282
0	124

prune439.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite88.0ms

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×	`expm1-log1p-u` `associate-l` `cbrt-unprod` `log1p-expm1-u` `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 → 184

Calls

3 calls:

54.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
18.0ms	(/ 1 (/ y (sin y)))
7.0ms	(/ y (sin y))

series178.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
36.0ms	(/ 1 (/ y (sin y)))
42.0ms	(/ y (sin y))

simplify666.0ms

Counts

193 → 193

Iterations

Iter	Nodes
done	5001
1	706
0	265

prune927.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 1 expressions with local error:

0.3b	(* (/ (cosh x) y) (sin y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-l`
10×	`times-frac`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`add-cbrt-cube` `add-exp-log`
3×	`pow1` `associate-r`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 34

Calls

1 calls:

28.0ms

(* (/ (cosh x) y) (sin y))

series108.0ms

Counts

1 → 3

Calls

1 calls:

108.0ms

(* (/ (cosh x) y) (sin y))

simplify1.3s

Counts

37 → 37

Iterations

Iter	Nodes
done	5001
2	1027
1	222
0	94

prune236.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize68.0ms

Local error

Found 4 expressions with local error:

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

rewrite74.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 152

Calls

4 calls:

49.0ms	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
4.0ms	(cbrt (/ y (sin y)))
4.0ms	(cbrt (/ y (sin y)))
4.0ms	(cbrt (/ y (sin y)))

series998.0ms

Counts

4 → 12

Calls

4 calls:

299.0ms	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
223.0ms	(cbrt (/ y (sin y)))
237.0ms	(cbrt (/ y (sin y)))
239.0ms	(cbrt (/ y (sin y)))

simplify1.7s

Counts

164 → 164

Iterations

Iter	Nodes
done	5000
2	1347
1	324
0	173

prune1.2s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes371.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.4s	3012×	body	1280	valid
944.0ms	2451×	body	640	valid
865.0ms	8544×	body	80	valid
747.0ms	1267×	body	320	valid
155.0ms	654×	body	160	valid