Details

sample111.0ms

Algorithm

intervals

Results

31.0ms	66×	body	1280	valid
22.0ms	315×	body	80	valid
21.0ms	68×	body	640	valid
9.0ms	44×	body	320	valid
3.0ms	18×	body	160	valid

simplify11.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	32	7
3	69	7
4	146	7
5	287	7
6	519	7
7	1124	7
8	2229	7
9	3908	7
done	5000	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
13.7b	(/ (* (sin x) (sinh y)) x)

rewrite29.0ms

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)
12.0ms	(* (sin x) (sinh y))
14.0ms	(/ (* (sin x) (sinh y)) x)

series306.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(sinh y)
98.0ms	(* (sin x) (sinh y))
117.0ms	(/ (* (sin x) (sinh y)) x)

simplify1.8s

Counts

64 → 64

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	123	572
1	282	546
2	1023	475
done	5000	455

prune206.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite46.0ms

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:

11.0ms	(/ (sinh y) x)
2.0ms	(sinh y)
29.0ms	(* (sin x) (/ (sinh y) x))

series305.0ms

Counts

3 → 9

Calls

3 calls:

113.0ms	(/ (sinh y) x)
80.0ms	(sinh y)
112.0ms	(* (sin x) (/ (sinh y) x))

simplify2.9s

Counts

83 → 83

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	146	770
1	332	727
2	1055	656
3	3529	655
done	5001	642

prune306.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (sinh y))
0.0b	(sinh y)
1.1b	(/ (sin x) (/ x (sinh y)))

rewrite53.0ms

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:

15.0ms	(/ x (sinh y))
3.0ms	(sinh y)
30.0ms	(/ (sin x) (/ x (sinh y)))

series386.0ms

Counts

3 → 9

Calls

3 calls:

170.0ms	(/ x (sinh y))
87.0ms	(sinh y)
128.0ms	(/ (sin x) (/ x (sinh y)))

simplify3.7s

Counts

125 → 125

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	221	1576
1	467	1485
2	1477	1406
3	4916	1388
done	5000	1387

prune534.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize15.0ms

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)))

rewrite76.0ms

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:

1.0ms	(sinh y)
6.0ms	(/ 1 (sinh y))
9.0ms	(/ (sin x) x)
23.0ms	(/ (/ (sin x) x) (/ 1 (sinh y)))

series422.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(sinh y)
139.0ms	(/ 1 (sinh y))
39.0ms	(/ (sin x) x)
141.0ms	(/ (/ (sin x) x) (/ 1 (sinh y)))

simplify2.0s

Counts

320 → 320

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	507	5859
1	1338	4811
2	3192	4422
done	5000	4413

prune741.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes85.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample4.6s

Algorithm

intervals

Results

1.4s	10312×	body	80	valid
1.1s	1835×	body	1280	valid
1.0s	1879×	body	640	valid
319.0ms	1175×	body	320	valid
96.0ms	572×	body	160	valid