Details

sample120.0ms

Algorithm

intervals

Results

31.0ms	65×	body	1280	valid
30.0ms	355×	body	80	valid
17.0ms	58×	body	640	valid
9.0ms	44×	body	320	valid
4.0ms	30×	body	160	valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	4195
6	882
5	295
4	146
3	69
2	32
1	15
0	6

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
13×	`associate-r`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1`
3×	`expm1-log1p-u` `sinh-def` `associate-/r` `associate-l` `log1p-expm1-u` `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 → 75

Calls

3 calls:

1.0ms	(sinh y)
21.0ms	(* (sinh y) (/ (sin x) x))
10.0ms	(/ (sin x) x)

series223.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(sinh y)
110.0ms	(* (sinh y) (/ (sin x) x))
37.0ms	(/ (sin x) x)

simplify807.0ms

Counts

84 → 84

Iterations

Iter	Nodes
done	5001
2	1481
1	328
0	140

prune375.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
104×	`add-sqr-sqrt`
92×	`*-un-lft-identity`
90×	`add-cube-cbrt`
44×	`associate-r`
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×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
3×	`sinh-def` `associate-l` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `associate-/r/`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `un-div-inv` `*-commutative` `pow-flip` `inv-pow`

Counts

4 → 194

Calls

4 calls:

1.0ms	(sinh y)
32.0ms	(* (sinh y) (/ 1 (/ x (sin x))))
4.0ms	(/ x (sin x))
9.0ms	(/ 1 (/ x (sin x)))

series282.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(sinh y)
105.0ms	(* (sinh y) (/ 1 (/ x (sin x))))
42.0ms	(/ x (sin x))
51.0ms	(/ 1 (/ x (sin x)))

simplify664.0ms

Counts

206 → 206

Iterations

Iter	Nodes
done	5001
1	754
0	281

prune874.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 112

Calls

3 calls:

2.0ms	(sinh y)
19.0ms	(/ (sinh y) (/ x (sin x)))
15.0ms	(/ x (sin x))

series292.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(sinh y)
137.0ms	(/ (sinh y) (/ x (sin x)))
53.0ms	(/ x (sin x))

simplify886.0ms

Counts

121 → 121

Iterations

Iter	Nodes
done	5002
2	2612
1	524
0	210

prune615.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (* (/ 1 x) (sin x)))
0.3b	(cbrt (* (/ 1 x) (sin x)))
0.5b	(* (/ 1 x) (sin x))
0.5b	(* (/ 1 x) (sin x))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
26×	`associate-l`
22×	`*-un-lft-identity` `times-frac` `add-exp-log`
20×	`add-cube-cbrt`
14×	`add-cbrt-cube`
8×	`pow1` `prod-exp`
6×	`associate-r` `unswap-sqr`
4×	`expm1-log1p-u` `div-exp` `associate-*l/` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-prod` `cbrt-undiv` `rec-exp` `cbrt-div` `pow1/3` `1-exp` `pow-prod-down` `*-commutative` `div-inv`

Counts

4 → 98

Calls

4 calls:

13.0ms	(cbrt (* (/ 1 x) (sin x)))
13.0ms	(cbrt (* (/ 1 x) (sin x)))
35.0ms	(* (/ 1 x) (sin x))
31.0ms	(* (/ 1 x) (sin x))

series421.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(cbrt (* (/ 1 x) (sin x)))
179.0ms	(cbrt (* (/ 1 x) (sin x)))
46.0ms	(* (/ 1 x) (sin x))
47.0ms	(* (/ 1 x) (sin x))

simplify637.0ms

Counts

110 → 110

Iterations

Iter	Nodes
done	5001
2	1172
1	250
0	108

prune724.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes217.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
0	6

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.1s	1796×	body	1280	valid
828.0ms	10333×	body	80	valid
746.0ms	1938×	body	640	valid
211.0ms	1118×	body	320	valid
114.0ms	586×	body	160	valid