Details

sample55.0ms

Algorithm

intervals

Results

14.0ms	311×	body	80	valid
14.0ms	51×	body	1280	valid
9.0ms	50×	body	640	valid
3.0ms	27×	body	320	valid
1.0ms	14×	body	160	valid

simplify5.5s

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	146	7
5	282	7
6	560	7
7	1631	7
8	3710	7
done	5000	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.2b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
14.2b	(/ (* (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:

0.0ms	(sinh y)
4.0ms	(* (sin x) (sinh y))
5.0ms	(/ (* (sin x) (sinh y)) x)

series241.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(sinh y)
85.0ms	(* (sin x) (sinh y))
95.0ms	(/ (* (sin x) (sinh y)) x)

simplify645.0ms

Counts

64 → 64

Iterations

Useful iterations: done (643.0ms)

Iter	Nodes	Cost
0	123	572
1	298	546
2	1197	475
done	5000	447

prune155.0ms

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	(sinh y)
0.0b	(/ (sinh y) x)
0.2b	(* (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×	`expm1-log1p-u` `associate-l` `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` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l/`

Counts

3 → 74

Calls

3 calls:

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

series227.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(sinh y)
73.0ms	(/ (sinh y) x)
93.0ms	(* (sin x) (/ (sinh y) x))

simplify520.0ms

Counts

83 → 83

Iterations

Useful iterations: done (518.0ms)

Iter	Nodes	Cost
0	146	770
1	348	727
2	1283	656
done	5001	632

prune194.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ x (sinh y))
0.9b	(/ (sin x) (/ x (sinh y)))

rewrite15.0ms

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` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`

Counts

3 → 116

Calls

3 calls:

0.0ms	(sinh y)
2.0ms	(/ x (sinh y))
7.0ms	(/ (sin x) (/ x (sinh y)))

series260.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(sinh y)
106.0ms	(/ x (sinh y))
93.0ms	(/ (sin x) (/ x (sinh y)))

simplify664.0ms

Counts

125 → 125

Iterations

Useful iterations: done (661.0ms)

Iter	Nodes	Cost
0	221	1576
1	496	1485
2	1978	1402
done	5001	1378

prune304.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

461×	`times-frac`
223×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
32×	`add-exp-log` `div-inv`
20×	`associate-/r*` `add-cbrt-cube`
19×	`div-exp` `associate-/l*`
16×	`sinh-def` `associate-/r/`
10×	`cbrt-undiv`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`pow-flip` `associate-/l/` `inv-pow`

Counts

4 → 308

Calls

4 calls:

0.0ms	(sinh y)
3.0ms	(/ 1 (sinh y))
3.0ms	(/ (sin x) x)
15.0ms	(/ (/ (sin x) x) (/ 1 (sinh y)))

series252.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(sinh y)
69.0ms	(/ 1 (sinh y))
28.0ms	(/ (sin x) x)
95.0ms	(/ (/ (sin x) x) (/ 1 (sinh y)))

simplify519.0ms

Counts

320 → 320

Iterations

Useful iterations: done (510.0ms)

Iter	Nodes	Cost
0	507	5859
1	1439	5137
done	5001	4667

prune512.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes103.0ms

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	6	7
1	7	7
done	7	7

end0.0ms

sample1.9s

Algorithm

intervals

Results

522.0ms	1831×	body	1280	valid
432.0ms	10348×	body	80	valid
363.0ms	1959×	body	640	valid
147.0ms	1122×	body	320	valid
58.0ms	599×	body	160	valid