Details

sample142.0ms

Algorithm

intervals

Results

43.0ms	90×	body	1280	valid
31.0ms	97×	body	640	valid
22.0ms	303×	body	80	valid
11.0ms	49×	body	320	valid
3.0ms	19×	body	160	valid

simplify2.7s

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	137	7
5	262	7
6	805	7
7	4114	7
done	5000	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite44.0ms

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×	`associate-l` `associate-/r` `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 → 68

Calls

3 calls:

10.0ms	(/ (sinh y) y)
2.0ms	(sinh y)
28.0ms	(* (sin x) (/ (sinh y) y))

series390.0ms

Counts

3 → 9

Calls

3 calls:

136.0ms	(/ (sinh y) y)
95.0ms	(sinh y)
159.0ms	(* (sin x) (/ (sinh y) y))

simplify1.3s

Counts

77 → 77

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	140	732
1	349	693
2	1720	629
done	5001	621

prune447.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
12.1b	(* (* (sin x) (sinh y)) (/ 1 y))

rewrite77.0ms

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×	`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 → 67

Calls

3 calls:

2.0ms	(sinh y)
19.0ms	(* (sin x) (sinh y))
52.0ms	(* (* (sin x) (sinh y)) (/ 1 y))

series467.0ms

Counts

3 → 9

Calls

3 calls:

120.0ms	(sinh y)
167.0ms	(* (sin x) (sinh y))
180.0ms	(* (* (sin x) (sinh y)) (/ 1 y))

simplify2.9s

Counts

76 → 76

Iterations

Useful iterations: 2 (574.0ms)

Iter	Nodes	Cost
0	154	827
1	430	748
2	2498	592
done	5000	592

prune361.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`sqrt-prod`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
5×	`prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow-prod-down`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*r/`
1×	`cbrt-undiv` `sinh-def` `div-exp` `associate-r` `*-commutative`

Counts

4 → 58

Calls

4 calls:

3.0ms	(sinh y)
4.0ms	(sqrt (sin x))
4.0ms	(sqrt (sin x))
69.0ms	(* (sqrt (sin x)) (* (sqrt (sin x)) (/ (sinh y) y)))

series371.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(sinh y)
33.0ms	(sqrt (sin x))
36.0ms	(sqrt (sin x))
186.0ms	(* (sqrt (sin x)) (* (sqrt (sin x)) (/ (sinh y) y)))

simplify1.2s

Counts

70 → 70

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	112	710
1	285	542
2	1146	467
done	5001	454

prune438.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes335.0ms

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

sample7.4s

Algorithm

intervals

Results

2.2s	3043×	body	1280	valid
1.7s	2424×	body	640	valid
1.4s	8472×	body	80	valid
702.0ms	620×	body	160	valid
520.0ms	1224×	body	320	valid