Details

sample58.0ms

Algorithm

intervals

Results

16.0ms	59×	body	1280	valid
12.0ms	311×	body	80	valid
10.0ms	59×	body	640	valid
5.0ms	44×	body	320	valid
2.0ms	23×	body	160	valid

simplify3.8s

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
12.0b	(/ (* (sin x) (sinh y)) x)

rewrite10.0ms

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:

0.0ms	(sinh y)
4.0ms	(* (sin x) (sinh y))
4.0ms	(/ (* (sin x) (sinh y)) x)

series244.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(sinh y)
84.0ms	(* (sin x) (sinh y))
97.0ms	(/ (* (sin x) (sinh y)) x)

simplify611.0ms

Counts

58 → 58

Iterations

Useful iterations: done (610.0ms)

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

prune133.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite16.0ms

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:

0.0ms	(sinh y)
2.0ms	(/ (sinh y) x)
11.0ms	(* (sin x) (/ (sinh y) x))

series232.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(sinh y)
77.0ms	(/ (sinh y) x)
97.0ms	(* (sin x) (/ (sinh y) x))

simplify647.0ms

Counts

77 → 77

Iterations

Useful iterations: done (645.0ms)

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

prune180.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (sinh y))
0.0b	(sinh y)
0.8b	(/ (sin x) (/ x (sinh y)))

rewrite13.0ms

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)))

series266.0ms

Counts

3 → 9

Calls

3 calls:

107.0ms	(/ x (sinh y))
64.0ms	(sinh y)
94.0ms	(/ (sin x) (/ x (sinh y)))

simplify712.0ms

Counts

119 → 119

Iterations

Useful iterations: done (704.0ms)

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

prune298.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

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×	`sinh-def` `associate-r` `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:

1.0ms	(sinh y)
8.0ms	(* (/ (sin x) x) (sinh y))
3.0ms	(/ (sin x) x)

series194.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(sinh y)
95.0ms	(* (/ (sin x) x) (sinh y))
34.0ms	(/ (sin x) x)

simplify583.0ms

Counts

78 → 78

Iterations

Useful iterations: done (582.0ms)

Iter	Nodes	Cost
0	134	716
1	311	695
2	971	624
done	5000	600

prune176.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes71.0ms

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

sample2.0s

Algorithm

intervals

Results

719.0ms	1840×	body	1280	valid
409.0ms	10297×	body	80	valid
338.0ms	1884×	body	640	valid
143.0ms	1112×	body	320	valid
57.0ms	621×	body	160	valid