Details

sample73.0ms

Algorithm

intervals

Results

29.0ms	98×	body	1280	valid
12.0ms	77×	body	640	valid
10.0ms	280×	body	80	valid
4.0ms	37×	body	320	valid
2.0ms	25×	body	160	valid

simplify76.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	30	4
2	66	4
3	137	4
4	262	4
5	492	4
6	1390	4
7	4856	4
8	5001	4
done	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

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×	`associate-l` `associate-/r` `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 → 68

Calls

3 calls:

16.0ms	(* (cos x) (/ (sinh y) y))
7.0ms	(/ (sinh y) y)
1.0ms	(sinh y)

series248.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(* (cos x) (/ (sinh y) y))
87.0ms	(/ (sinh y) y)
65.0ms	(sinh y)

simplify41.0ms

Counts

77 → 77

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	324	427
1	1285	383
2	5001	381
done	5001	381

prune181.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

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)

rewrite28.0ms

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×	`sinh-def` `times-frac` `associate-r` `associate-l` `associate-/r*` `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 → 49

Calls

3 calls:

1.0ms	(sinh y)
10.0ms	(* (cos x) (sinh y))
15.0ms	(/ (* (cos x) (sinh y)) y)

series228.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(sinh y)
80.0ms	(* (cos x) (sinh y))
91.0ms	(/ (* (cos x) (sinh y)) y)

simplify34.0ms

Counts

58 → 58

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	267	317
1	1179	271
2	5002	253
done	5002	253

prune116.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

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` `add-log-exp`
2×	`frac-2neg` `clear-num`

Counts

3 → 110

Calls

3 calls:

1.0ms	(sinh y)
14.0ms	(/ (cos x) (/ y (sinh y)))
5.0ms	(/ y (sinh y))

series255.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(sinh y)
95.0ms	(/ (cos x) (/ y (sinh y)))
96.0ms	(/ y (sinh y))

simplify55.0ms

Counts

119 → 119

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	478	937
1	2046	888
2	5001	872
done	5001	872

prune279.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

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)))))

rewrite57.0ms

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` `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 → 54

Calls

4 calls:

1.0ms	(sinh y)
1.0ms	(sinh y)
1.0ms	(sinh y)
52.0ms	(/ (cos x) (* (* (cbrt (/ y (sinh y))) (cbrt (/ y (sinh y)))) (cbrt (/ y (sinh y)))))

series305.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(sinh y)
61.0ms	(sinh y)
62.0ms	(sinh y)
125.0ms	(/ (cos x) (* (* (cbrt (/ y (sinh y))) (cbrt (/ y (sinh y)))) (cbrt (/ y (sinh y)))))

simplify77.0ms

Counts

66 → 66

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	288	617
1	839	515
2	3694	459
3	5001	426
done	5001	426

prune172.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes38.0ms

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	4
1	6	4
done	6	4

end0.0ms

sample2.1s

Algorithm

intervals

Results

798.0ms	2989×	body	1280	valid
392.0ms	2451×	body	640	valid
312.0ms	8601×	body	80	valid
135.0ms	1234×	body	320	valid
43.0ms	572×	body	160	valid