Details

sample101.0ms

Algorithm

intervals

Results

26.0ms	65×	body	1280	valid
23.0ms	355×	body	80	valid
15.0ms	58×	body	640	valid
8.0ms	44×	body	320	valid
4.0ms	30×	body	160	valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
7	4266
6	847
5	280
4	144
3	69
2	32
1	15
0	6

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ x (sinh y))
1.2b	(/ (sin x) (/ x (sinh y)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 110

Calls

3 calls:

1.0ms	(sinh y)
8.0ms	(/ x (sinh y))
15.0ms	(/ (sin x) (/ x (sinh y)))

series426.0ms

Counts

3 → 9

Calls

3 calls:

107.0ms	(sinh y)
180.0ms	(/ x (sinh y))
139.0ms	(/ (sin x) (/ x (sinh y)))

simplify994.0ms

Counts

119 → 119

Iterations

Iter	Nodes
done	5000
2	2660
1	533
0	215

prune626.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

2.0ms	(sinh y)
22.0ms	(* (/ (sin x) x) (sinh y))
11.0ms	(/ (sin x) x)

series274.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(sinh y)
116.0ms	(* (/ (sin x) x) (sinh y))
56.0ms	(/ (sin x) x)

simplify887.0ms

Counts

78 → 78

Iterations

Iter	Nodes
done	5001
2	1481
1	327
0	134

prune379.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(* (/ 1 (/ x (sin x))) (sinh y))
0.1b	(/ x (sin x))
0.1b	(/ 1 (/ x (sin x)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
104×	`add-sqr-sqrt`
92×	`*-un-lft-identity`
90×	`add-cube-cbrt`
44×	`associate-l`
36×	`add-exp-log`
20×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`sinh-def` `associate-r` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `associate-/r/`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `pow-flip` `inv-pow`

Counts

4 → 185

Calls

4 calls:

1.0ms	(sinh y)
29.0ms	(* (/ 1 (/ x (sin x))) (sinh y))
4.0ms	(/ x (sin x))
16.0ms	(/ 1 (/ x (sin x)))

series256.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(sinh y)
122.0ms	(* (/ 1 (/ x (sin x))) (sinh y))
31.0ms	(/ x (sin x))
32.0ms	(/ 1 (/ x (sin x)))

simplify1.7s

Counts

197 → 197

Iterations

Iter	Nodes
done	5001
2	3875
1	718
0	271

prune935.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.4b	(* (sin x) (* (/ 1 x) (sinh y)))
0.4b	(* (/ 1 x) (sinh y))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

2.0ms	(sinh y)
39.0ms	(* (sin x) (* (/ 1 x) (sinh y)))
14.0ms	(* (/ 1 x) (sinh y))

series314.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(sinh y)
109.0ms	(* (sin x) (* (/ 1 x) (sinh y)))
122.0ms	(* (/ 1 x) (sinh y))

simplify971.0ms

Counts

79 → 79

Iterations

Iter	Nodes
done	5000
2	1933
1	389
0	152

prune376.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes154.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
2	14
1	13
0	9

end0.0ms

sample3.7s

Algorithm

intervals

Results

998.0ms	1796×	body	1280	valid
880.0ms	10333×	body	80	valid
583.0ms	1938×	body	640	valid
537.0ms	1118×	body	320	valid
121.0ms	586×	body	160	valid