Details

sample60.0ms

Algorithm

intervals

Results

15.0ms	54×	body	1280	valid
13.0ms	339×	body	80	valid
10.0ms	59×	body	640	valid
4.0ms	34×	body	320	valid
1.0ms	16×	body	160	valid

simplify8.6s

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.4b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
11.4b	(/ (* (sin x) (sinh y)) x)

rewrite27.0ms

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)
11.0ms	(* (sin x) (sinh y))
13.0ms	(/ (* (sin x) (sinh y)) x)

series252.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(sinh y)
90.0ms	(* (sin x) (sinh y))
100.0ms	(/ (* (sin x) (sinh y)) x)

simplify1.1s

Counts

64 → 64

Iterations

Useful iterations: done (1.1s)

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

prune143.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

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

series243.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(sinh y)
79.0ms	(/ (sinh y) x)
103.0ms	(* (sin x) (/ (sinh y) x))

simplify1.9s

Counts

83 → 83

Iterations

Useful iterations: done (1.9s)

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

prune184.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ x (sinh y))
0.7b	(/ (sin x) (/ x (sinh y)))

rewrite24.0ms

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:

1.0ms	(sinh y)
5.0ms	(/ x (sinh y))
13.0ms	(/ (sin x) (/ x (sinh y)))

series278.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(sinh y)
114.0ms	(/ x (sinh y))
104.0ms	(/ (sin x) (/ x (sinh y)))

simplify2.4s

Counts

125 → 125

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	221	1576
1	467	1485
2	1470	1406
3	4907	1388
done	5000	1387

prune300.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

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)
18.0ms	(* (/ (sin x) x) (sinh y))
9.0ms	(/ (sin x) x)

series192.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(sinh y)
98.0ms	(* (/ (sin x) x) (sinh y))
33.0ms	(/ (sin x) x)

simplify1.7s

Counts

84 → 84

Iterations

Useful iterations: done (1.7s)

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

prune187.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes60.0ms

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

sample1.9s

Algorithm

intervals

Results

536.0ms	1855×	body	1280	valid
439.0ms	10407×	body	80	valid
350.0ms	1900×	body	640	valid
144.0ms	1116×	body	320	valid
53.0ms	561×	body	160	valid