Details

sample102.0ms

Algorithm

intervals

Results

36.0ms	86×	body	1280	valid
19.0ms	71×	body	640	valid
18.0ms	302×	body	80	valid
6.0ms	35×	body	320	valid
3.0ms	22×	body	160	valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	1888
6	631
5	245
4	128
3	65
2	30
1	15
0	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

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:

3.0ms	(sinh y)
12.0ms	(* (cos x) (/ (sinh y) y))
5.0ms	(/ (sinh y) y)

series297.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(sinh y)
109.0ms	(* (cos x) (/ (sinh y) y))
103.0ms	(/ (sinh y) y)

simplify2.5s

Counts

83 → 83

Iterations

Iter	Nodes
done	5001
3	3808
2	1076
1	348
0	143

prune472.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
38×	`times-frac`
34×	`*-un-lft-identity` `add-cube-cbrt`
26×	`sqrt-prod`
8×	`add-cbrt-cube` `add-exp-log`
6×	`pow1` `associate-/r` `associate-/l`
4×	`expm1-log1p-u` `rem-sqrt-square` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`cbrt-undiv` `sinh-def` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-exp` `associate-/l/`

Counts

4 → 114

Calls

4 calls:

3.0ms	(sqrt (/ (sinh y) y))
3.0ms	(sqrt (/ (sinh y) y))
8.0ms	(/ (sinh y) y)
5.0ms	(/ (sinh y) y)

series466.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(sqrt (/ (sinh y) y))
138.0ms	(sqrt (/ (sinh y) y))
122.0ms	(/ (sinh y) y)
109.0ms	(/ (sinh y) y)

simplify2.1s

Counts

126 → 126

Iterations

Iter	Nodes
done	5003
2	1535
1	453
0	190

prune800.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

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)

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 133

Calls

4 calls:

151.0ms	(* (* (cos x) (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))) (cbrt (/ (sinh y) y)))
11.0ms	(/ (sinh y) y)
9.0ms	(/ (sinh y) y)
10.0ms	(/ (sinh y) y)

series542.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(* (* (cos x) (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))) (cbrt (/ (sinh y) y)))
131.0ms	(/ (sinh y) y)
101.0ms	(/ (sinh y) y)
143.0ms	(/ (sinh y) y)

simplify1.8s

Counts

145 → 145

Iterations

Iter	Nodes
done	5000
2	1383
1	421
0	168

prune901.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes255.0ms

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	9
1	9
0	8

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.3s	3037×	body	1280	valid
1.2s	2478×	body	640	valid
757.0ms	8617×	body	80	valid
362.0ms	1291×	body	320	valid
89.0ms	594×	body	160	valid