Details

sample60.0ms

Algorithm

intervals

Results

17.0ms	63×	body	1280	valid
13.0ms	345×	body	80	valid
11.0ms	61×	body	640	valid
4.0ms	35×	body	320	valid
1.0ms	18×	body	160	valid

simplify3.9s

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	143	7
5	260	7
6	480	7
7	1114	7
8	2209	7
9	3163	7
done	5000	7

prune6.0ms

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)

rewrite11.0ms

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)

series239.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(sinh y)
84.0ms	(* (sin x) (sinh y))
98.0ms	(/ (* (sin x) (sinh y)) x)

simplify617.0ms

Counts

58 → 58

Iterations

Useful iterations: done (615.0ms)

Iter	Nodes	Cost
0	117	538
1	279	516
2	1042	445
done	5000	417

prune136.0ms

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

series228.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(/ (sinh y) x)
58.0ms	(sinh y)
97.0ms	(* (sin x) (/ (sinh y) x))

simplify636.0ms

Counts

77 → 77

Iterations

Useful iterations: done (634.0ms)

Iter	Nodes	Cost
0	140	738
1	327	699
2	1071	629
done	5000	603

prune174.0ms

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)))

rewrite26.0ms

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:

0.0ms	(sinh y)
9.0ms	(* (sinh y) (/ 1 x))
14.0ms	(* (sin x) (* (sinh y) (/ 1 x)))

series232.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(sinh y)
75.0ms	(* (sinh y) (/ 1 x))
96.0ms	(* (sin x) (* (sinh y) (/ 1 x)))

simplify739.0ms

Counts

81 → 81

Iterations

Useful iterations: done (733.0ms)

Iter	Nodes	Cost
0	159	854
1	404	685
2	1237	565
done	5001	531

prune163.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

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))
0.0ms	(sinh y)
6.0ms	(/ (sin x) (/ x (sinh y)))

series272.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms	(/ x (sinh y))
64.0ms	(sinh y)
98.0ms	(/ (sin x) (/ x (sinh y)))

simplify712.0ms

Counts

119 → 119

Iterations

Useful iterations: done (708.0ms)

Iter	Nodes	Cost
0	215	1544
1	475	1456
2	1659	1373
done	5000	1345

prune298.0ms

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

sample1.8s

Algorithm

intervals

Results

527.0ms	1899×	body	1280	valid
412.0ms	10307×	body	80	valid
370.0ms	2028×	body	640	valid
148.0ms	1168×	body	320	valid
49.0ms	577×	body	160	valid