Details

sample99.0ms

Algorithm

intervals

Results

28.0ms	343×	body	80	valid
24.0ms	53×	body	1280	valid
16.0ms	57×	body	640	valid
6.0ms	30×	body	320	valid
2.0ms	10×	body	160	valid

simplify2.2s

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	144	7
5	281	7
6	847	7
7	4286	7
done	5000	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.7b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
10.7b	(/ (* (sin x) (sinh y)) x)

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)
12.0ms	(* (sin x) (sinh y))
13.0ms	(/ (* (sin x) (sinh y)) x)

series287.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(sinh y)
90.0ms	(* (sin x) (sinh y))
104.0ms	(/ (* (sin x) (sinh y)) x)

simplify1.1s

Counts

58 → 58

Iterations

Useful iterations: 2 (233.0ms)

Iter	Nodes	Cost
0	117	538
1	293	516
2	1599	448
done	5002	448

prune202.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite41.0ms

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:

10.0ms	(/ (sinh y) x)
2.0ms	(sinh y)
25.0ms	(* (sin x) (/ (sinh y) x))

series326.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms	(/ (sinh y) x)
84.0ms	(sinh y)
133.0ms	(* (sin x) (/ (sinh y) x))

simplify901.0ms

Counts

77 → 77

Iterations

Useful iterations: done (899.0ms)

Iter	Nodes	Cost
0	140	738
1	343	703
2	1612	640
done	5001	633

prune225.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.2b	(* (sinh y) (/ 1 x))
0.4b	(* (sin x) (* (sinh y) (/ 1 x)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
19×	`add-sqr-sqrt`
17×	`add-cbrt-cube`
14×	`associate-r`
13×	`*-un-lft-identity` `prod-exp`
12×	`add-cube-cbrt`
11×	`times-frac`
10×	`pow1`
7×	`cbrt-unprod`
6×	`associate-r/` `associate-l*`
5×	`sinh-def`
4×	`div-exp` `pow-prod-down`
3×	`add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-l/` `un-div-inv` `-commutative`
1×	`div-inv`

Counts

3 → 72

Calls

3 calls:

2.0ms	(sinh y)
25.0ms	(* (sinh y) (/ 1 x))
54.0ms	(* (sin x) (* (sinh y) (/ 1 x)))

series339.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(sinh y)
115.0ms	(* (sinh y) (/ 1 x))
132.0ms	(* (sin x) (* (sinh y) (/ 1 x)))

simplify3.2s

Counts

81 → 81

Iterations

Useful iterations: 2 (424.0ms)

Iter	Nodes	Cost
0	159	854
1	410	689
2	2390	581
done	5001	581

prune236.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (sinh y))
0.0b	(sinh y)
1.3b	(/ (sin x) (/ x (sinh y)))

rewrite38.0ms

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:

9.0ms	(/ x (sinh y))
2.0ms	(sinh y)
20.0ms	(/ (sin x) (/ x (sinh y)))

series370.0ms

Counts

3 → 9

Calls

3 calls:

142.0ms	(/ x (sinh y))
75.0ms	(sinh y)
152.0ms	(/ (sin x) (/ x (sinh y)))

simplify1.2s

Counts

119 → 119

Iterations

Useful iterations: 2 (412.0ms)

Iter	Nodes	Cost
0	215	1544
1	532	1472
2	2649	1388
done	5000	1388

prune419.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes98.0ms

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

sample3.9s

Algorithm

intervals

Results

1.3s	1750×	body	1280	valid
817.0ms	10295×	body	80	valid
706.0ms	1906×	body	640	valid
298.0ms	1088×	body	320	valid
132.0ms	593×	body	160	valid