Details

sample122.0ms

Algorithm

intervals

Results

49.0ms	68×	body	1280	valid
22.0ms	68×	body	640	valid
19.0ms	302×	body	80	valid
6.0ms	30×	body	320	valid
3.0ms	22×	body	160	valid

simplify12.1s

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	146	7
5	287	7
6	519	7
7	1124	7
8	2229	7
9	3908	7
done	5000	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.4b

localize11.0ms

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)

rewrite43.0ms

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:

2.0ms	(sinh y)
18.0ms	(* (sin x) (sinh y))
21.0ms	(/ (* (sin x) (sinh y)) x)

series308.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(sinh y)
99.0ms	(* (sin x) (sinh y))
131.0ms	(/ (* (sin x) (sinh y)) x)

simplify1.3s

Counts

64 → 64

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	123	572
1	282	546
2	1023	475
done	5000	455

prune214.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite38.0ms

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:

8.0ms	(/ (sinh y) x)
2.0ms	(sinh y)
25.0ms	(* (sin x) (/ (sinh y) x))

series301.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(/ (sinh y) x)
79.0ms	(sinh y)
139.0ms	(* (sin x) (/ (sinh y) x))

simplify2.5s

Counts

83 → 83

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	146	770
1	332	727
2	1055	656
3	3529	655
done	5001	642

prune250.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (sinh y))
0.0b	(sinh y)
0.8b	(/ (sin x) (/ x (sinh y)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
6×	`sinh-def` `associate-/r/` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`

Counts

3 → 116

Calls

3 calls:

8.0ms	(/ x (sinh y))
2.0ms	(sinh y)
24.0ms	(/ (sin x) (/ x (sinh y)))

series360.0ms

Counts

3 → 9

Calls

3 calls:

151.0ms	(/ x (sinh y))
84.0ms	(sinh y)
125.0ms	(/ (sin x) (/ x (sinh y)))

simplify3.2s

Counts

125 → 125

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	221	1576
1	467	1485
2	1477	1406
3	4916	1388
done	5000	1387

prune426.0ms

Pruning

6 alts after pruning (4 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) x) (sinh y))
0.1b	(/ (sin x) x)

rewrite45.0ms

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×	`expm1-log1p-u` `sinh-def` `associate-r` `associate-/r` `log1p-expm1-u` `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 → 75

Calls

3 calls:

1.0ms	(sinh y)
30.0ms	(* (/ (sin x) x) (sinh y))
11.0ms	(/ (sin x) x)

series305.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(sinh y)
152.0ms	(* (/ (sin x) x) (sinh y))
42.0ms	(/ (sin x) x)

simplify2.5s

Counts

84 → 84

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	140	748
1	317	723
2	937	652
3	3137	650
done	5000	649

prune241.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes103.0ms

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

sample5.3s

Algorithm

intervals

Results

1.6s	1971×	body	640	valid
1.3s	10282×	body	80	valid
1.1s	1859×	body	1280	valid
324.0ms	1120×	body	320	valid
166.0ms	636×	body	160	valid