Details

sample125.0ms

Algorithm

intervals

Results

40.0ms	302×	body	80	valid
31.0ms	68×	body	1280	valid
22.0ms	68×	body	640	valid
6.0ms	30×	body	320	valid
3.0ms	22×	body	160	valid

simplify13.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	32	7
3	69	7
4	144	7
5	272	7
6	482	7
7	1052	7
8	2094	7
9	3638	7
10	4858	7
done	5000	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.4b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
14.4b	(/ (* (sin x) (sinh y)) x)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
3×	`sinh-def` `times-frac` `associate-r` `associate-l` `associate-/r*` `add-log-exp`
2×	`cbrt-undiv` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l/` `associate-/l` `unswap-sqr`

Counts

3 → 49

Calls

3 calls:

9.0ms	(sinh y)
21.0ms	(* (sin x) (sinh y))
25.0ms	(/ (* (sin x) (sinh y)) x)

series331.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(sinh y)
128.0ms	(* (sin x) (sinh y))
120.0ms	(/ (* (sin x) (sinh y)) x)

simplify3.9s

Counts

58 → 58

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	117	538
1	270	516
2	984	445
3	4845	419
done	5000	419

prune182.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

9.0ms	(/ (sinh y) x)
2.0ms	(sinh y)
20.0ms	(* (/ (sinh y) x) (sin x))

series320.0ms

Counts

3 → 9

Calls

3 calls:

112.0ms	(/ (sinh y) x)
83.0ms	(sinh y)
125.0ms	(* (/ (sinh y) x) (sin x))

simplify2.4s

Counts

77 → 77

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	141	721
1	324	694
2	900	622
3	2873	620
done	5000	620

prune303.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

3.0ms	(sinh y)
39.0ms	(* (sinh y) (/ (sin x) x))
17.0ms	(/ (sin x) x)

series248.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(sinh y)
118.0ms	(* (sinh y) (/ (sin x) x))
33.0ms	(/ (sin x) x)

simplify3.0s

Counts

78 → 78

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	134	733
1	299	700
2	999	631
3	3632	629
done	5000	629

prune311.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite54.0ms

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:

35.0ms	(* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x)))
4.0ms	(cbrt (/ (sin x) x))
4.0ms	(cbrt (/ (sin x) x))
3.0ms	(cbrt (/ (sin x) x))

series760.0ms

Counts

4 → 12

Calls

4 calls:

245.0ms	(* (cbrt (/ (sin x) x)) (cbrt (/ (sin x) x)))
157.0ms	(cbrt (/ (sin x) x))
177.0ms	(cbrt (/ (sin x) x))
181.0ms	(cbrt (/ (sin x) x))

simplify3.1s

Counts

156 → 156

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	167	2201
1	294	2074
2	741	1992
3	1442	1895
4	3518	1777
done	5000	1645

prune671.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes132.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7
done	7	7

end0.0ms

sample4.8s

Algorithm

intervals

Results

1.5s	10282×	body	80	valid
1.5s	1859×	body	1280	valid
715.0ms	1971×	body	640	valid
266.0ms	1120×	body	320	valid
141.0ms	636×	body	160	valid