Details

sample66.0ms

Algorithm

intervals

Results

18.0ms	63×	body	1280	valid
16.0ms	345×	body	80	valid
12.0ms	61×	body	640	valid
4.0ms	35×	body	320	valid
2.0ms	18×	body	160	valid

simplify14.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	32	7
3	68	7
4	141	7
5	255	7
6	464	7
7	1045	7
8	2235	7
9	3055	7
10	4296	7
11	4811	7
12	4845	7
done	4845	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
15.1b	(/ (* (sin x) (sinh y)) x)

rewrite13.0ms

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)
4.0ms	(* (sin x) (sinh y))
4.0ms	(/ (* (sin x) (sinh y)) x)

series237.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(sinh y)
85.0ms	(* (sin x) (sinh y))
94.0ms	(/ (* (sin x) (sinh y)) x)

simplify561.0ms

Counts

58 → 58

Iterations

Useful iterations: done (560.0ms)

Iter	Nodes	Cost
0	117	538
1	279	516
2	1027	445
done	5000	443

prune146.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

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:

3.0ms	(/ (sinh y) x)
1.0ms	(sinh y)
9.0ms	(* (sin x) (/ (sinh y) x))

series232.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(/ (sinh y) x)
61.0ms	(sinh y)
96.0ms	(* (sin x) (/ (sinh y) x))

simplify2.3s

Counts

77 → 77

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	140	738
1	327	699
2	1038	629
3	4191	627
done	5000	627

prune176.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

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)))

rewrite29.0ms

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:

1.0ms	(sinh y)
11.0ms	(* (sinh y) (/ 1 x))
14.0ms	(* (sin x) (* (sinh y) (/ 1 x)))

series225.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(sinh y)
73.0ms	(* (sinh y) (/ 1 x))
93.0ms	(* (sin x) (* (sinh y) (/ 1 x)))

simplify2.8s

Counts

81 → 81

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	159	854
1	404	685
2	1132	565
3	4397	527
done	5001	527

prune164.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

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	(/ x (sinh y))
1.0ms	(sinh y)
7.0ms	(/ (sin x) (/ x (sinh y)))

series261.0ms

Counts

3 → 9

Calls

3 calls:

105.0ms	(/ x (sinh y))
60.0ms	(sinh y)
95.0ms	(/ (sin x) (/ x (sinh y)))

simplify685.0ms

Counts

119 → 119

Iterations

Useful iterations: done (681.0ms)

Iter	Nodes	Cost
0	215	1544
1	475	1456
2	1482	1377
done	5000	1369

prune301.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes106.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	10	9
done	10	9

end0.0ms

sample1.9s

Algorithm

intervals

Results

545.0ms	1899×	body	1280	valid
435.0ms	10307×	body	80	valid
380.0ms	2028×	body	640	valid
157.0ms	1168×	body	320	valid
60.0ms	577×	body	160	valid