Details

sample102.0ms

Algorithm

intervals

Results

35.0ms	96×	body	1280	valid
26.0ms	79×	body	640	valid
13.0ms	264×	body	80	valid
4.0ms	30×	body	320	valid
2.0ms	20×	body	160	valid

simplify2.0s

Counts

1 → 1

Iterations

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

prune3.0ms

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

rewrite48.0ms

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)
11.0ms	(/ (sinh y) y)
31.0ms	(* (cos x) (/ (sinh y) y))

series362.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(sinh y)
124.0ms	(/ (sinh y) y)
147.0ms	(* (cos x) (/ (sinh y) y))

simplify1.1s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
2	1759
1	350
0	143

prune398.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 120

Calls

4 calls:

164.0ms	(* (cos x) (* (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))) (cbrt (/ (sinh y) y))))
11.0ms	(/ (sinh y) y)
8.0ms	(/ (sinh y) y)
5.0ms	(/ (sinh y) y)

series587.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(* (cos x) (* (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))) (cbrt (/ (sinh y) y))))
146.0ms	(/ (sinh y) y)
128.0ms	(/ (sinh y) y)
160.0ms	(/ (sinh y) y)

simplify744.0ms

Counts

132 → 132

Iterations

Iter	Nodes
done	5001
2	1147
1	345
0	144

prune788.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(/ (sinh y) y)
0.0b	(/ (sinh y) y)
0.0b	(/ (sinh y) y)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
27×	`times-frac`
10×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/r` `associate-/l`
4×	`expm1-log1p-u` `pow1` `sinh-def` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv` `associate-/l/`

Counts

4 → 100

Calls

4 calls:

1.0ms	(sinh y)
7.0ms	(/ (sinh y) y)
11.0ms	(/ (sinh y) y)
16.0ms	(/ (sinh y) y)

series534.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(sinh y)
166.0ms	(/ (sinh y) y)
168.0ms	(/ (sinh y) y)
124.0ms	(/ (sinh y) y)

simplify1.8s

Counts

112 → 112

Iterations

Iter	Nodes
done	5001
3	3008
2	596
1	185
0	91

prune664.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample5.4s

Algorithm

intervals

Results

1.7s	2945×	body	1280	valid
1.4s	2519×	body	640	valid
1.1s	8517×	body	80	valid
460.0ms	1205×	body	320	valid
127.0ms	631×	body	160	valid