Details

sample82.0ms

Algorithm

intervals

Results

20.0ms	59×	body	1280	valid
18.0ms	337×	body	80	valid
15.0ms	63×	body	640	valid
7.0ms	43×	body	320	valid
2.0ms	19×	body	160	valid

simplify15.1s

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	272	7
6	482	7
7	1052	7
8	2094	7
9	3638	7
10	4858	7
done	5000	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.8b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
15.8b	(/ (* (sin x) (sinh y)) x)

rewrite39.0ms

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:

3.0ms	(sinh y)
20.0ms	(* (sin x) (sinh y))
14.0ms	(/ (* (sin x) (sinh y)) x)

series343.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(sinh y)
129.0ms	(* (sin x) (sinh y))
145.0ms	(/ (* (sin x) (sinh y)) x)

simplify4.1s

Counts

58 → 58

Iterations

Useful iterations: 3 (2.2s)

Iter	Nodes	Cost
0	117	538
1	270	516
2	984	445
3	4845	419
done	5000	419

prune165.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite62.0ms

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×	`associate-r` `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` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `associate-/l/`

Counts

3 → 68

Calls

3 calls:

3.0ms	(sinh y)
15.0ms	(/ (sinh y) x)
40.0ms	(* (/ (sinh y) x) (sin x))

series349.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(sinh y)
139.0ms	(/ (sinh y) x)
141.0ms	(* (/ (sinh y) x) (sin x))

simplify2.0s

Counts

77 → 77

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	141	721
1	324	694
2	897	622
3	2878	620
done	5000	620

prune282.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite44.0ms

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×	`sinh-def` `associate-l` `associate-/r` `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 → 69

Calls

3 calls:

2.0ms	(sinh y)
30.0ms	(* (sinh y) (/ (sin x) x))
8.0ms	(/ (sin x) x)

series253.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(sinh y)
122.0ms	(* (sinh y) (/ (sin x) x))
46.0ms	(/ (sin x) x)

simplify2.2s

Counts

78 → 78

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	134	733
1	299	700
2	999	631
3	3632	629
done	5000	629

prune236.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ x (sinh y))
0.5b	(/ (sin x) (/ x (sinh y)))

rewrite39.0ms

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:

2.0ms	(sinh y)
8.0ms	(/ x (sinh y))
20.0ms	(/ (sin x) (/ x (sinh y)))

series355.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(sinh y)
144.0ms	(/ x (sinh y))
124.0ms	(/ (sin x) (/ x (sinh y)))

simplify2.6s

Counts

119 → 119

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	215	1544
1	453	1456
2	1433	1377
3	4772	1359
done	5000	1359

prune375.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes103.0ms

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

sample4.2s

Algorithm

intervals

Results

1.5s	10330×	body	80	valid
1.0s	1898×	body	1280	valid
762.0ms	1955×	body	640	valid
264.0ms	1092×	body	320	valid
77.0ms	562×	body	160	valid