Details

sample116.0ms

Algorithm

intervals

Results

48.0ms	119×	body	1280	valid
23.0ms	88×	body	640	valid
14.0ms	259×	body	80	valid
8.0ms	40×	body	320	valid
2.0ms	17×	body	160	valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	4128
6	824
5	269
4	137
3	67
2	30
1	15
0	6

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
13×	`associate-r`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1`
3×	`expm1-log1p-u` `associate-/r` `associate-l` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `sinh-def` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative` `associate-/l/`

Counts

3 → 74

Calls

3 calls:

2.0ms	(sinh y)
8.0ms	(/ (sinh y) y)
15.0ms	(* (cos x) (/ (sinh y) y))

series366.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(sinh y)
143.0ms	(/ (sinh y) y)
136.0ms	(* (cos x) (/ (sinh y) y))

simplify1.3s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
2	1759
1	350
0	143

prune315.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-sqr-sqrt` `sqrt-prod`
71×	`times-frac`
58×	`*-un-lft-identity` `add-cube-cbrt`
21×	`pow1`
18×	`swap-sqr`
16×	`associate-r` `associate-l`
10×	`sqrt-pow1` `pow1/2`
9×	`unswap-sqr`
8×	`add-cbrt-cube` `add-exp-log`
7×	`div-inv`
6×	`sqrt-div`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `rem-sqrt-square` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `pow-prod-down` `pow-sqr` `associate-/l`
1×	`pow2` `frac-times` `cbrt-undiv` `sinh-def` `clear-num` `rem-square-sqrt` `frac-2neg` `pow-plus` `sqrt-unprod` `div-exp` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod` `associate-/l/`

Counts

4 → 173

Calls

4 calls:

6.0ms	(/ (sinh y) y)
29.0ms	(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))
4.0ms	(sqrt (/ (sinh y) y))
4.0ms	(sqrt (/ (sinh y) y))

series414.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(/ (sinh y) y)
96.0ms	(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))
93.0ms	(sqrt (/ (sinh y) y))
88.0ms	(sqrt (/ (sinh y) y))

simplify2.8s

Counts

185 → 185

Iterations

Iter	Nodes
done	5001
2	4164
1	757
0	301

prune1.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 55

Calls

4 calls:

1.0ms	(cbrt y)
5.0ms	(cbrt (sinh y))
1.0ms	(cbrt (sinh y))
2.0ms	(cbrt (sinh y))

series777.0ms

Counts

4 → 12

Calls

4 calls:

257.0ms	(cbrt y)
195.0ms	(cbrt (sinh y))
162.0ms	(cbrt (sinh y))
163.0ms	(cbrt (sinh y))

simplify896.0ms

Counts

67 → 67

Iterations

Iter	Nodes
done	5000
4	2193
3	805
2	287
1	123
0	67

prune345.0ms

Pruning

2 alts after pruning (0 fresh and 2 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

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample4.3s

Algorithm

intervals

Results

1.3s	2975×	body	1280	valid
1.1s	2562×	body	640	valid
746.0ms	8447×	body	80	valid
616.0ms	1215×	body	320	valid
113.0ms	653×	body	160	valid