Details

sample138.0ms

Algorithm

intervals

Results

53.0ms	82×	body	640	valid
36.0ms	87×	body	1280	valid
18.0ms	299×	body	80	valid
8.0ms	44×	body	320	valid
2.0ms	17×	body	160	valid

simplify1.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	745
5	179
4	96
3	56
2	28
1	15
0	6

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

2 → 61

Calls

2 calls:

13.0ms	(* (cosh x) (/ (sin y) y))
6.0ms	(/ (sin y) y)

series159.0ms

Counts

2 → 6

Calls

2 calls:

103.0ms	(* (cosh x) (/ (sin y) y))
56.0ms	(/ (sin y) y)

simplify1.0s

Counts

67 → 67

Iterations

Iter	Nodes
done	5000
2	1286
1	275
0	120

prune356.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize30.0ms

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))

rewrite63.0ms

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` `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 → 178

Calls

3 calls:

30.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
10.0ms	(/ 1 (/ y (sin y)))
9.0ms	(/ y (sin y))

series231.0ms

Counts

3 → 9

Calls

3 calls:

119.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
54.0ms	(/ 1 (/ y (sin y)))
57.0ms	(/ y (sin y))

simplify743.0ms

Counts

187 → 187

Iterations

Iter	Nodes
done	5001
1	694
0	259

prune953.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

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×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

14.0ms

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

series120.0ms

Counts

1 → 3

Calls

1 calls:

120.0ms

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

simplify1.1s

Counts

35 → 35

Iterations

Iter	Nodes
done	5001
2	1000
1	217
0	92

prune180.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize44.0ms

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)))

rewrite52.0ms

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` `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 → 144

Calls

4 calls:

39.0ms	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
4.0ms	(cbrt (/ y (sin y)))
2.0ms	(cbrt (/ y (sin y)))
2.0ms	(cbrt (/ y (sin y)))

series941.0ms

Counts

4 → 12

Calls

4 calls:

300.0ms	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
229.0ms	(cbrt (/ y (sin y)))
190.0ms	(cbrt (/ y (sin y)))
222.0ms	(cbrt (/ y (sin y)))

simplify1.7s

Counts

156 → 156

Iterations

Iter	Nodes
done	5001
2	1330
1	316
0	169

prune1.2s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes394.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.0s	3012×	body	1280	valid
820.0ms	8544×	body	80	valid
792.0ms	2451×	body	640	valid
704.0ms	1267×	body	320	valid
127.0ms	654×	body	160	valid