Details

sample72.0ms

Algorithm

intervals

Results

27.0ms	105×	body	1280	valid
12.0ms	76×	body	640	valid
10.0ms	268×	body	80	valid
5.0ms	41×	body	320	valid
2.0ms	26×	body	160	valid

simplify43.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	30	4
2	66	4
3	139	4
4	271	4
5	520	4
6	1491	4
7	5001	4
done	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

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:

10.0ms	(/ (sinh y) y)
1.0ms	(sinh y)
16.0ms	(* (sin x) (/ (sinh y) y))

series250.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(/ (sinh y) y)
59.0ms	(sinh y)
104.0ms	(* (sin x) (/ (sinh y) y))

simplify42.0ms

Counts

83 → 83

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	348	444
1	1367	399
2	5001	397
done	5001	397

prune184.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
37×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
32×	`associate-r`
28×	`sqrt-prod`
15×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
6×	`associate-/r` `associate-/l`
5×	`sqrt-div`
4×	`expm1-log1p-u` `associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`unswap-sqr`
2×	`cbrt-undiv` `sinh-def` `frac-2neg` `div-exp` `clear-num` `*-commutative` `associate-/l/`
1×	`frac-times` `associate-*l/`

Counts

4 → 132

Calls

4 calls:

7.0ms	(/ (sinh y) y)
7.0ms	(/ (sinh y) y)
47.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
20.0ms	(* (sin x) (sqrt (/ (sinh y) y)))

series493.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(/ (sinh y) y)
84.0ms	(/ (sinh y) y)
134.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
191.0ms	(* (sin x) (sqrt (/ (sinh y) y)))

simplify121.0ms

Counts

144 → 144

Iterations

Useful iterations: 2 (109.0ms)

Iter	Nodes	Cost
0	937	1296
1	4591	1149
2	5001	1109
done	5001	1109

prune425.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sinh y))
0.6b	(cbrt (sinh y))
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`sinh-def` `cbrt-div`

Counts

4 → 54

Calls

4 calls:

1.0ms	(cbrt (sinh y))
1.0ms	(cbrt (sinh y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series665.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(cbrt (sinh y))
156.0ms	(cbrt (sinh y))
177.0ms	(cbrt y)
173.0ms	(cbrt y)

simplify71.0ms

Counts

66 → 66

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	117	248
1	224	230
2	487	222
3	1476	222
4	5001	222
done	5001	222

prune280.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
13.3b	(* (* (sin x) (sinh y)) (/ 1 y))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
17×	`add-cbrt-cube`
16×	`associate-r`
14×	`add-sqr-sqrt`
13×	`prod-exp`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1`
9×	`times-frac`
7×	`cbrt-unprod`
4×	`sinh-def` `associate-r/` `div-exp` `associate-l*` `pow-prod-down`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `rec-exp` `1-exp` `*-commutative`
1×	`frac-times` `associate-*l/` `un-div-inv` `div-inv` `unswap-sqr`

Counts

3 → 73

Calls

3 calls:

1.0ms	(sinh y)
13.0ms	(* (sin x) (sinh y))
29.0ms	(* (* (sin x) (sinh y)) (/ 1 y))

series251.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(sinh y)
90.0ms	(* (sin x) (sinh y))
103.0ms	(* (* (sin x) (sinh y)) (/ 1 y))

simplify53.0ms

Counts

82 → 82

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	430	493
1	2094	408
2	5002	367
done	5002	367

prune143.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes106.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4
done	7	4

end0.0ms

sample2.2s

Algorithm

intervals

Results

825.0ms	2966×	body	1280	valid
425.0ms	2533×	body	640	valid
328.0ms	8452×	body	80	valid
150.0ms	1284×	body	320	valid
57.0ms	606×	body	160	valid