Details

sample96.0ms

Algorithm

intervals

Results

36.0ms	98×	body	1280	valid
16.0ms	77×	body	640	valid
13.0ms	280×	body	80	valid
6.0ms	37×	body	320	valid
3.0ms	25×	body	160	valid

simplify12.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	30	7
3	67	7
4	137	7
5	265	7
6	482	7
7	1041	7
8	1987	7
9	3484	7
10	4730	7
done	5000	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cos x) (/ (sinh y) y))
0.0b	(/ (sinh y) y)
0.0b	(sinh y)

rewrite42.0ms

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:

26.0ms	(* (cos x) (/ (sinh y) y))
11.0ms	(/ (sinh y) y)
2.0ms	(sinh y)

series339.0ms

Counts

3 → 9

Calls

3 calls:

126.0ms	(* (cos x) (/ (sinh y) y))
119.0ms	(/ (sinh y) y)
94.0ms	(sinh y)

simplify2.4s

Counts

83 → 83

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	144	762
1	328	714
2	1043	648
3	3602	635
done	5000	635

prune223.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite40.0ms

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

series312.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(sinh y)
96.0ms	(* (cos x) (sinh y))
126.0ms	(/ (* (cos x) (sinh y)) y)

simplify3.5s

Counts

64 → 64

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	119	566
1	268	540
2	964	471
3	4758	445
done	5000	445

prune159.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ (cos x) (/ y (sinh y)))
0.0b	(/ y (sinh y))

rewrite26.0ms

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)
15.0ms	(/ (cos x) (/ y (sinh y)))
6.0ms	(/ y (sinh y))

series287.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(sinh y)
123.0ms	(/ (cos x) (/ y (sinh y)))
97.0ms	(/ y (sinh y))

simplify1.4s

Counts

125 → 125

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	223	1578
1	470	1482
2	1497	1407
done	5000	1383

prune368.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(sinh y)
0.0b	(sinh y)
0.0b	(/ (cos x) (* (* (cbrt (/ y (sinh y))) (cbrt (/ y (sinh y)))) (cbrt (/ y (sinh y)))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log`
12×	`cbrt-div`
9×	`add-cbrt-cube`
7×	`associate-/r/`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`frac-times` `associate-*l/`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `sinh-def` `times-frac` `associate-r/` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv`

Counts

4 → 62

Calls

4 calls:

4.0ms	(sinh y)
1.0ms	(sinh y)
1.0ms	(sinh y)
53.0ms	(/ (cos x) (* (* (cbrt (/ y (sinh y))) (cbrt (/ y (sinh y)))) (cbrt (/ y (sinh y)))))

series343.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(sinh y)
83.0ms	(sinh y)
66.0ms	(sinh y)
127.0ms	(/ (cos x) (* (* (cbrt (/ y (sinh y))) (cbrt (/ y (sinh y)))) (cbrt (/ y (sinh y)))))

simplify2.1s

Counts

74 → 74

Iterations

Useful iterations: 3 (765.0ms)

Iter	Nodes	Cost
0	123	1036
1	286	1006
2	782	673
3	2295	593
done	5000	593

prune320.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
done	6	7

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.1s	2989×	body	1280	valid
547.0ms	2451×	body	640	valid
435.0ms	8601×	body	80	valid
187.0ms	1234×	body	320	valid
63.0ms	572×	body	160	valid