Details

sample166.0ms

Algorithm

intervals

Results

52.0ms	325×	body	80	valid
43.0ms	67×	body	1280	valid
26.0ms	63×	body	640	valid
11.0ms	40×	body	320	valid
2.0ms	13×	body	160	valid

simplify2.4s

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

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

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)
19.0ms	(* (sinh y) (/ (sin x) x))
13.0ms	(/ (sin x) x)

series274.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(sinh y)
121.0ms	(* (sinh y) (/ (sin x) x))
60.0ms	(/ (sin x) x)

simplify835.0ms

Counts

84 → 84

Iterations

Iter	Nodes
done	5001
2	1481
1	328
0	140

prune441.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
21×	`times-frac`
20×	`*-un-lft-identity` `add-cube-cbrt`
18×	`add-exp-log`
13×	`associate-r`
10×	`add-cbrt-cube`
7×	`associate-l`
6×	`prod-exp` `unswap-sqr`
5×	`unpow-prod-down`
4×	`pow1` `div-exp`
3×	`expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp` `sqr-pow`
2×	`pow-to-exp` `cbrt-undiv` `pow-exp` `cbrt-unprod` `div-inv`
1×	`sinh-def` `clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative`

Counts

3 → 85

Calls

3 calls:

2.0ms	(sinh y)
35.0ms	(* (pow (sinh y) 1) (/ (sin x) x))
13.0ms	(/ (sin x) x)

series297.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(sinh y)
156.0ms	(* (pow (sinh y) 1) (/ (sin x) x))
48.0ms	(/ (sin x) x)

simplify1.3s

Counts

94 → 94

Iterations

Iter	Nodes
done	5001
2	2140
1	392
0	158

prune478.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (pow (sinh y) 1) (* (sin x) (/ 1 x)))
0.3b	(* (sin x) (/ 1 x))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 88

Calls

3 calls:

1.0ms	(sinh y)
41.0ms	(* (pow (sinh y) 1) (* (sin x) (/ 1 x)))
27.0ms	(* (sin x) (/ 1 x))

series257.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(sinh y)
142.0ms	(* (pow (sinh y) 1) (* (sin x) (/ 1 x)))
34.0ms	(* (sin x) (/ 1 x))

simplify4.6s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	3597
1	469
0	172

prune409.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

19.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

355.0ms	(* (cbrt x) (cbrt x))
246.0ms	(cbrt x)
285.0ms	(cbrt x)
246.0ms	(cbrt x)

simplify1.2s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	725
1	142
0	65

prune501.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes301.0ms

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	11
1	11
0	8

end0.0ms

sample4.5s

Algorithm

intervals

Results

1.3s	1980×	body	640	valid
1.2s	1869×	body	1280	valid
841.0ms	10360×	body	80	valid
417.0ms	1107×	body	320	valid
88.0ms	567×	body	160	valid