Details

sample200.0ms

Algorithm

intervals

Results

86.0ms	96×	body	1280	valid
36.0ms	87×	body	640	valid
24.0ms	255×	body	80	valid
13.0ms	42×	body	320	valid
4.0ms	17×	body	160	valid

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	28	7
3	56	7
4	96	7
5	179	7
6	751	7
done	5001	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 61

Calls

2 calls:

40.0ms	(* (cosh x) (/ (sin y) y))
18.0ms	(/ (sin y) y)

series202.0ms

Counts

2 → 6

Calls

2 calls:

147.0ms	(* (cosh x) (/ (sin y) y))
54.0ms	(/ (sin y) y)

simplify1.3s

Counts

67 → 67

Iterations

Useful iterations: 2 (298.0ms)

Iter	Nodes	Cost
0	120	663
1	275	632
2	1274	574
done	5000	574

prune436.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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)))

rewrite121.0ms

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` `frac-2neg` `clear-num` `associate-/r/`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `inv-pow`

Counts

3 → 178

Calls

3 calls:

77.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
10.0ms	(/ y (sin y))
20.0ms	(/ 1 (/ y (sin y)))

series216.0ms

Counts

3 → 9

Calls

3 calls:

132.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
40.0ms	(/ y (sin y))
44.0ms	(/ 1 (/ y (sin y)))

simplify754.0ms

Counts

187 → 187

Iterations

Useful iterations: done (747.0ms)

Iter	Nodes	Cost
0	259	2334
1	690	1868
done	5000	1712

prune1.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

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)))

rewrite307.0ms

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` `add-log-exp`
2×	`cosh-def` `frac-2neg` `clear-num` `associate-/r/`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/` `inv-pow`

Counts

3 → 479

Calls

3 calls:

161.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
14.0ms	(/ 1 (sin y))
47.0ms	(/ (/ 1 y) (/ 1 (sin y)))

series233.0ms

Counts

3 → 9

Calls

3 calls:

152.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
29.0ms	(/ 1 (sin y))
51.0ms	(/ (/ 1 y) (/ 1 (sin y)))

simplify2.2s

Counts

488 → 488

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	624	8547
1	2217	6482
done	5000	5657

prune2.1s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
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-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 144

Calls

4 calls:

54.0ms	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
5.0ms	(cbrt (/ y (sin y)))
5.0ms	(cbrt (/ y (sin y)))
5.0ms	(cbrt (/ y (sin y)))

series1.5s

Counts

4 → 12

Calls

4 calls:

298.0ms	(* (cbrt (/ y (sin y))) (cbrt (/ y (sin y))))
236.0ms	(cbrt (/ y (sin y)))
676.0ms	(cbrt (/ y (sin y)))
257.0ms	(cbrt (/ y (sin y)))

simplify1.6s

Counts

156 → 156

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	169	2215
1	316	2080
2	1331	2004
done	5001	1951

prune1.3s

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes489.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample7.0s

Algorithm

intervals

Results

2.3s	3011×	body	1280	valid
1.9s	8575×	body	80	valid
1.3s	2433×	body	640	valid
536.0ms	1264×	body	320	valid
116.0ms	604×	body	160	valid