Details

sample149.0ms

Algorithm

intervals

Results

51.0ms	93×	body	1280	valid
34.0ms	90×	body	640	valid
23.0ms	259×	body	80	valid
8.0ms	32×	body	320	valid
4.0ms	22×	body	160	valid

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	30	7
3	67	7
4	139	7
5	271	7
6	828	7
7	4211	7
done	5000	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite45.0ms

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) y)
2.0ms	(sinh y)
28.0ms	(* (sin x) (/ (sinh y) y))

series365.0ms

Counts

3 → 9

Calls

3 calls:

115.0ms	(/ (sinh y) y)
95.0ms	(sinh y)
155.0ms	(* (sin x) (/ (sinh y) y))

simplify1.2s

Counts

83 → 83

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	146	764
1	363	720
2	1761	657
done	5000	649

prune227.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

54×	`sqrt-prod`
48×	`add-sqr-sqrt`
39×	`times-frac`
35×	`add-cube-cbrt` `*-un-lft-identity`
19×	`associate-r`
17×	`associate-l`
13×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
7×	`sqrt-div`
4×	`expm1-log1p-u` `rem-sqrt-square` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`unswap-sqr`
2×	`sqrt-pow1` `pow1/2` `*-commutative`
1×	`frac-times` `associate-*r/`

Counts

4 → 126

Calls

4 calls:

5.0ms	(sqrt (/ (sinh y) y))
8.0ms	(sqrt (/ (sinh y) y))
63.0ms	(* (* (sqrt (/ (sinh y) y)) (sin x)) (sqrt (/ (sinh y) y)))
26.0ms	(* (sqrt (/ (sinh y) y)) (sin x))

series654.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(sqrt (/ (sinh y) y))
118.0ms	(sqrt (/ (sinh y) y))
204.0ms	(* (* (sqrt (/ (sinh y) y)) (sin x)) (sqrt (/ (sinh y) y)))
218.0ms	(* (sqrt (/ (sinh y) y)) (sin x))

simplify521.0ms

Counts

138 → 138

Iterations

Useful iterations: done (517.0ms)

Iter	Nodes	Cost
0	361	2575
1	1047	2371
done	5001	2227

prune568.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite384.0ms

Algorithm

rewrite-expression-head

Rules

68×	`sqrt-prod`
41×	`add-sqr-sqrt`
38×	`times-frac`
35×	`add-cube-cbrt` `*-un-lft-identity`
30×	`sqrt-div`
20×	`pow1` `associate-l`
18×	`add-exp-log` `add-cbrt-cube`
17×	`associate-r`
12×	`associate-*l/`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`frac-times`
4×	`expm1-log1p-u` `rem-sqrt-square` `associate-*r/` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`sqrt-pow1` `pow1/2` `*-commutative`

Counts

4 → 136

Calls

4 calls:

4.0ms	(sqrt (/ (sinh y) y))
5.0ms	(sqrt (/ (sinh y) y))
113.0ms	(* (sqrt (sqrt (/ (sinh y) y))) (* (sqrt (sqrt (/ (sinh y) y))) (sin x)))
256.0ms	(* (* (sqrt (sqrt (/ (sinh y) y))) (* (sqrt (sqrt (/ (sinh y) y))) (sin x))) (sqrt (/ (sinh y) y)))

series641.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(sqrt (/ (sinh y) y))
90.0ms	(sqrt (/ (sinh y) y))
237.0ms	(* (sqrt (sqrt (/ (sinh y) y))) (* (sqrt (sqrt (/ (sinh y) y))) (sin x)))
215.0ms	(* (* (sqrt (sqrt (/ (sinh y) y))) (* (sqrt (sqrt (/ (sinh y) y))) (sin x))) (sqrt (/ (sinh y) y)))

simplify729.0ms

Counts

148 → 148

Iterations

Useful iterations: done (723.0ms)

Iter	Nodes	Cost
0	391	3477
1	1146	2735
done	5001	2444

prune820.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes124.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7
done	7	7

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.5s	3016×	body	1280	valid
918.0ms	2519×	body	640	valid
729.0ms	8527×	body	80	valid
340.0ms	1194×	body	320	valid
139.0ms	644×	body	160	valid