Details

sample257.0ms

Algorithm

intervals

Results

106.0ms	106×	body	640	valid
64.0ms	98×	body	1280	valid
23.0ms	256×	body	80	valid
14.0ms	54×	body	320	valid
5.0ms	27×	body	160	valid

simplify7.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	1796
6	607
5	236
4	126
3	65
2	30
1	15
0	6

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite62.0ms

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:

16.0ms	(/ (sinh y) y)
3.0ms	(sinh y)
40.0ms	(* (sin x) (/ (sinh y) y))

series604.0ms

Counts

3 → 9

Calls

3 calls:

175.0ms	(/ (sinh y) y)
124.0ms	(sinh y)
305.0ms	(* (sin x) (/ (sinh y) y))

simplify8.2s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
3	3945
2	1030
1	346
0	140

prune604.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

162×	`times-frac`
106×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
92×	`add-cube-cbrt`
47×	`associate-r`
36×	`add-exp-log`
20×	`add-cbrt-cube`
17×	`associate-/r*`
15×	`div-exp`
10×	`associate-/r/` `div-inv`
9×	`sinh-def`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 192

Calls

4 calls:

23.0ms	(/ 1 (/ y (sinh y)))
10.0ms	(sinh y)
11.0ms	(/ y (sinh y))
72.0ms	(* (sin x) (/ 1 (/ y (sinh y))))

series820.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(/ 1 (/ y (sinh y)))
247.0ms	(sinh y)
176.0ms	(/ y (sinh y))
228.0ms	(* (sin x) (/ 1 (/ y (sinh y))))

simplify9.9s

Counts

204 → 204

Iterations

Iter	Nodes
done	5000
2	2228
1	793
0	291

prune2.9s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize59.0ms

Local error

Found 4 expressions with local error:

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

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
29×	`add-cube-cbrt` `*-un-lft-identity`
28×	`times-frac`
16×	`associate-r`
15×	`sqrt-prod`
10×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `associate-/r` `associate-/l`
4×	`add-log-exp`
3×	`sinh-def` `associate-l` `div-inv` `unswap-sqr`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `associate-/l/`
1×	`sqrt-div` `associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

9.0ms	(sinh y)
14.0ms	(/ (sinh y) y)
15.0ms	(/ (sinh y) y)
42.0ms	(* (sin x) (sqrt (/ (sinh y) y)))

series896.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(sinh y)
203.0ms	(/ (sinh y) y)
163.0ms	(/ (sinh y) y)
393.0ms	(* (sin x) (sqrt (/ (sinh y) y)))

simplify7.0s

Counts

110 → 110

Iterations

Iter	Nodes
done	5005
2	2935
1	664
0	255

prune1.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize111.0ms

Local error

Found 4 expressions with local error:

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

rewrite308.0ms

Algorithm

rewrite-expression-head

Rules

70×	`add-sqr-sqrt`
60×	`times-frac`
59×	`add-exp-log` `add-cbrt-cube`
48×	`add-cube-cbrt` `*-un-lft-identity`
42×	`associate-r`
32×	`pow1`
23×	`prod-exp` `cbrt-unprod`
17×	`cbrt-undiv` `div-exp` `associate-l`
15×	`sqrt-prod`
13×	`swap-sqr`
11×	`frac-times` `associate-*l/`
9×	`unswap-sqr`
8×	`associate-*r/`
7×	`cbrt-div` `pow-plus` `pow-prod-up`
6×	`div-inv`
5×	`pow-prod-down`
4×	`add-log-exp`
3×	`pow2` `pow-sqr` `*-commutative`
2×	`pow3`
1×	`cbrt-prod` `pow1/3` `sqrt-div` `rem-cbrt-cube`

Counts

4 → 180

Calls

4 calls:

100.0ms	(* (* (/ (sinh y) y) (/ (sinh y) y)) (/ (sinh y) y))
72.0ms	(cbrt (* (* (/ (sinh y) y) (/ (sinh y) y)) (/ (sinh y) y)))
46.0ms	(* (/ (sinh y) y) (/ (sinh y) y))
51.0ms	(* (sin x) (sqrt (/ (sinh y) y)))

series1.0s

Counts

4 → 12

Calls

4 calls:

258.0ms	(* (* (/ (sinh y) y) (/ (sinh y) y)) (/ (sinh y) y))
185.0ms	(cbrt (* (* (/ (sinh y) y) (/ (sinh y) y)) (/ (sinh y) y)))
189.0ms	(* (/ (sinh y) y) (/ (sinh y) y))
387.0ms	(* (sin x) (sqrt (/ (sinh y) y)))

simplify10.5s

Counts

192 → 192

Iterations

Iter	Nodes
done	5001
2	4834
1	1183
0	391

prune2.5s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes517.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample13.3s

Algorithm

intervals

Results

5.5s	2961×	body	1280	valid
4.2s	2490×	body	640	valid
2.0s	8532×	body	80	valid
550.0ms	1194×	body	320	valid
319.0ms	603×	body	160	valid