Details

sample80.0ms

Algorithm

intervals

Results

30.0ms	85×	body	1280	valid
15.0ms	78×	body	640	valid
13.0ms	299×	body	80	valid
5.0ms	36×	body	320	valid
2.0ms	19×	body	160	valid

simplify1.9s

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 64

Calls

2 calls:

5.0ms	(/ (sinh y) y)
15.0ms	(* (cos x) (/ (sinh y) y))

series207.0ms

Counts

2 → 6

Calls

2 calls:

97.0ms	(/ (sinh y) y)
110.0ms	(* (cos x) (/ (sinh y) y))

simplify863.0ms

Counts

70 → 70

Iterations

Iter	Nodes
done	5001
2	1672
1	319
0	128

prune322.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 96

Calls

3 calls:

48.0ms	(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
9.0ms	(/ (sinh y) y)
5.0ms	(/ (sinh y) y)

series351.0ms

Counts

3 → 9

Calls

3 calls:

166.0ms	(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
92.0ms	(/ (sinh y) y)
93.0ms	(/ (sinh y) y)

simplify1.5s

Counts

105 → 105

Iterations

Iter	Nodes
done	5002
2	3596
1	610
0	220

prune573.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cos x) (* (sinh y) (/ 1 y)))
0.1b	(* (sinh y) (/ 1 y))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
18×	`add-sqr-sqrt`
16×	`add-cbrt-cube`
14×	`associate-r`
13×	`prod-exp`
12×	`*-un-lft-identity`
11×	`times-frac` `add-cube-cbrt`
9×	`pow1`
7×	`cbrt-unprod`
6×	`associate-l` `associate-*r/`
4×	`sinh-def` `div-exp` `pow-prod-down`
3×	`unswap-sqr`
2×	`expm1-log1p-u` `frac-times` `cbrt-undiv` `rec-exp` `1-exp` `associate-l/` `un-div-inv` `-commutative` `log1p-expm1-u` `add-log-exp`
1×	`div-inv`

Counts

2 → 68

Calls

2 calls:

43.0ms	(* (cos x) (* (sinh y) (/ 1 y)))
25.0ms	(* (sinh y) (/ 1 y))

series257.0ms

Counts

2 → 6

Calls

2 calls:

119.0ms	(* (cos x) (* (sinh y) (/ 1 y)))
138.0ms	(* (sinh y) (/ 1 y))

simplify774.0ms

Counts

74 → 74

Iterations

Iter	Nodes
done	5001
2	1573
1	385
0	148

prune350.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes141.0ms

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	10
1	10
0	8

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.5s	3047×	body	1280	valid
985.0ms	8525×	body	80	valid
855.0ms	2618×	body	640	valid
227.0ms	1221×	body	320	valid
107.0ms	638×	body	160	valid