Details

sample122.0ms

Algorithm

intervals

Results

42.0ms	92×	body	1280	valid
22.0ms	74×	body	640	valid
20.0ms	288×	body	80	valid
10.0ms	47×	body	320	valid
3.0ms	20×	body	160	valid

simplify13.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	30	7
3	67	7
4	137	7
5	265	7
6	482	7
7	1041	7
8	1987	7
9	3484	7
10	4730	7
done	5000	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite51.0ms

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

Counts

3 → 74

Calls

3 calls:

12.0ms	(/ (sinh y) y)
2.0ms	(sinh y)
32.0ms	(* (sin x) (/ (sinh y) y))

series377.0ms

Counts

3 → 9

Calls

3 calls:

128.0ms	(/ (sinh y) y)
91.0ms	(sinh y)
158.0ms	(* (sin x) (/ (sinh y) y))

simplify3.1s

Counts

83 → 83

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	146	764
1	337	716
2	1076	650
3	3673	649
done	5000	636

prune330.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (/ (sinh y) y))
0.0b	(cbrt (/ (sinh y) y))
0.0b	(cbrt (/ (sinh y) y))
0.0b	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))

rewrite84.0ms

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×	`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-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 152

Calls

4 calls:

5.0ms	(cbrt (/ (sinh y) y))
5.0ms	(cbrt (/ (sinh y) y))
11.0ms	(cbrt (/ (sinh y) y))
50.0ms	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))

series1.3s

Counts

4 → 12

Calls

4 calls:

328.0ms	(cbrt (/ (sinh y) y))
302.0ms	(cbrt (/ (sinh y) y))
309.0ms	(cbrt (/ (sinh y) y))
404.0ms	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))

simplify1.8s

Counts

164 → 164

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	190	2325
1	340	2177
2	857	2100
3	1835	1993
done	5000	1957

prune1.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(* (sin x) (/ (sinh y) y))
0.1b	(expm1 (log1p (* (sin x) (/ (sinh y) y))))
0.3b	(log1p (* (sin x) (/ (sinh y) y)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

2.0ms	(sinh y)
34.0ms	(* (sin x) (/ (sinh y) y))
0.0ms	(expm1 (log1p (* (sin x) (/ (sinh y) y))))
0.0ms	(log1p (* (sin x) (/ (sinh y) y)))

series1.0s

Counts

4 → 12

Calls

4 calls:

80.0ms	(sinh y)
140.0ms	(* (sin x) (/ (sinh y) y))
338.0ms	(expm1 (log1p (* (sin x) (/ (sinh y) y))))
458.0ms	(log1p (* (sin x) (/ (sinh y) y)))

simplify1.5s

Counts

78 → 78

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	211	1091
1	553	994
2	2178	877
done	5001	862

prune308.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
16.0b	(/ (* (sin x) (sinh y)) y)

rewrite28.0ms

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×	`expm1-log1p-u` `sinh-def` `times-frac` `associate-r` `associate-l` `associate-/r*` `log1p-expm1-u` `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 → 55

Calls

3 calls:

1.0ms	(sinh y)
12.0ms	(* (sin x) (sinh y))
14.0ms	(/ (* (sin x) (sinh y)) y)

series390.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(sinh y)
143.0ms	(* (sin x) (sinh y))
146.0ms	(/ (* (sin x) (sinh y)) y)

simplify1.8s

Counts

64 → 64

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	123	572
1	281	546
2	1031	475
done	5000	455

prune251.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes154.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	20
1	11	20
done	11	20

end0.0ms

sample5.9s

Algorithm

intervals

Results

2.7s	3013×	body	1280	valid
1.1s	2437×	body	640	valid
925.0ms	8601×	body	80	valid
373.0ms	1197×	body	320	valid
100.0ms	584×	body	160	valid