Details

sample59.0ms

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

simplify4.2s

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	145	7
5	273	7
6	509	7
7	1162	7
8	2310	7
9	3329	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)

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×	`expm1-log1p-u` `sinh-def` `times-frac` `associate-r` `associate-l` `associate-/r*` `log1p-expm1-u` `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 → 55

Calls

3 calls:

1.0ms	(sinh y)
4.0ms	(* (sin x) (sinh y))
5.0ms	(/ (* (sin x) (sinh y)) x)

series236.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(sinh y)
82.0ms	(* (sin x) (sinh y))
95.0ms	(/ (* (sin x) (sinh y)) x)

simplify612.0ms

Counts

64 → 64

Iterations

Useful iterations: done (611.0ms)

Iter	Nodes	Cost
0	123	572
1	291	546
2	1080	475
done	5000	447

prune155.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

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×	`expm1-log1p-u` `associate-r` `associate-/r` `log1p-expm1-u` `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 → 74

Calls

3 calls:

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

series217.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(sinh y)
73.0ms	(/ (sinh y) x)
83.0ms	(* (/ (sinh y) x) (sin x))

simplify2.3s

Counts

83 → 83

Iterations

Useful iterations: 3 (856.0ms)

Iter	Nodes	Cost
0	147	753
1	344	722
2	981	649
3	4924	610
done	5000	610

prune203.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

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×	`expm1-log1p-u` `sinh-def` `associate-l` `associate-/r` `log1p-expm1-u` `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 → 75

Calls

3 calls:

1.0ms	(sinh y)
9.0ms	(* (sinh y) (/ (sin x) x))
4.0ms	(/ (sin x) x)

series172.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(sinh y)
83.0ms	(* (sinh y) (/ (sin x) x))
28.0ms	(/ (sin x) x)

simplify753.0ms

Counts

84 → 84

Iterations

Useful iterations: done (751.0ms)

Iter	Nodes	Cost
0	140	765
1	320	728
2	1106	659
done	5000	637

prune194.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sinh y) (/ 1 (/ x (sin x))))
0.1b	(/ x (sin x))
0.2b	(/ 1 (/ x (sin x)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
104×	`add-sqr-sqrt`
92×	`*-un-lft-identity`
90×	`add-cube-cbrt`
44×	`associate-r`
36×	`add-exp-log`
20×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`associate-/l*`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
3×	`sinh-def` `associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `inv-pow`

Counts

4 → 194

Calls

4 calls:

1.0ms	(sinh y)
26.0ms	(* (sinh y) (/ 1 (/ x (sin x))))
3.0ms	(/ x (sin x))
6.0ms	(/ 1 (/ x (sin x)))

series211.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(sinh y)
87.0ms	(* (sinh y) (/ 1 (/ x (sin x))))
32.0ms	(/ x (sin x))
32.0ms	(/ 1 (/ x (sin x)))

simplify877.0ms

Counts

206 → 206

Iterations

Useful iterations: done (872.0ms)

Iter	Nodes	Cost
0	281	2454
1	678	1966
2	1941	1711
done	5000	1691

prune615.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes69.0ms

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

sample1.8s

Algorithm

intervals

Results

526.0ms	1840×	body	1280	valid
423.0ms	10297×	body	80	valid
340.0ms	1884×	body	640	valid
142.0ms	1112×	body	320	valid
53.0ms	621×	body	160	valid