Details

sample116.0ms

Algorithm

intervals

Results

37.0ms	77×	body	1280	valid
24.0ms	322×	body	80	valid
22.0ms	62×	body	640	valid
10.0ms	38×	body	320	valid
4.0ms	24×	body	160	valid

simplify13.2s

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
14.3b	(/ (* (sin x) (sinh y)) x)

rewrite33.0ms

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))
19.0ms	(/ (* (sin x) (sinh y)) x)

series377.0ms

Counts

3 → 9

Calls

3 calls:

112.0ms	(sinh y)
140.0ms	(* (sin x) (sinh y))
125.0ms	(/ (* (sin x) (sinh y)) x)

simplify1.6s

Counts

64 → 64

Iterations

Useful iterations: done (1.6s)

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

prune152.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

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:

1.0ms	(sinh y)
7.0ms	(/ (sinh y) x)
22.0ms	(* (sin x) (/ (sinh y) x))

series288.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(sinh y)
94.0ms	(/ (sinh y) x)
117.0ms	(* (sin x) (/ (sinh y) x))

simplify2.1s

Counts

83 → 83

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	146	770
1	332	727
2	1054	656
3	3540	655
done	5001	642

prune208.0ms

Pruning

7 alts after pruning (5 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) (/ 1 x)))
0.2b	(* (sinh y) (/ 1 x))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 78

Calls

3 calls:

1.0ms	(sinh y)
34.0ms	(* (sin x) (* (sinh y) (/ 1 x)))
21.0ms	(* (sinh y) (/ 1 x))

series283.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(sinh y)
126.0ms	(* (sin x) (* (sinh y) (/ 1 x)))
82.0ms	(* (sinh y) (/ 1 x))

simplify3.2s

Counts

87 → 87

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	165	894
1	397	713
2	1166	592
3	3909	555
done	5001	554

prune239.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 112

Calls

3 calls:

1.0ms	(sinh y)
20.0ms	(/ (sinh y) (/ x (sin x)))
8.0ms	(/ x (sin x))

series266.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(sinh y)
122.0ms	(/ (sinh y) (/ x (sin x)))
49.0ms	(/ x (sin x))

simplify4.1s

Counts

121 → 121

Iterations

Useful iterations: 3 (2.5s)

Iter	Nodes	Cost
0	210	1498
1	451	1410
2	1419	1331
3	4892	1328
done	5000	1328

prune491.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes133.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.4s	10276×	body	80	valid
940.0ms	1811×	body	1280	valid
725.0ms	2004×	body	640	valid
343.0ms	1143×	body	320	valid
139.0ms	582×	body	160	valid