Details

sample83.0ms

Algorithm

intervals

Results

31.0ms	85×	body	1280	valid
16.0ms	78×	body	640	valid
13.0ms	299×	body	80	valid
5.0ms	36×	body	320	valid
2.0ms	19×	body	160	valid

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	197
1	15	197
2	30	197
3	67	197
4	137	197
5	269	197
6	824	197
7	4128	197
done	5000	197

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

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)
13.0ms	(* (cos x) (/ (sinh y) y))

series260.0ms

Counts

2 → 6

Calls

2 calls:

122.0ms	(/ (sinh y) y)
137.0ms	(* (cos x) (/ (sinh y) y))

simplify1.7s

Counts

70 → 70

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	128	18950
1	319	17303
2	1672	16771
done	5001	16452

prune343.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 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)
0.0b	(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

82×	`add-sqr-sqrt`
66×	`sqrt-prod`
60×	`times-frac`
53×	`*-un-lft-identity` `add-cube-cbrt`
24×	`pow1`
19×	`associate-l`
18×	`swap-sqr`
17×	`associate-r`
15×	`add-cbrt-cube` `add-exp-log`
10×	`unswap-sqr`
8×	`sqrt-pow1` `pow1/2` `sqrt-div`
6×	`associate-/r` `pow-prod-down` `div-inv` `associate-/l`
5×	`associate-*r/` `pow-prod-up`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow-sqr`
2×	`frac-times` `cbrt-undiv` `sinh-def` `clear-num` `frac-2neg` `div-exp` `associate-l/` `-commutative` `associate-/l/`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod`

Counts

4 → 173

Calls

4 calls:

56.0ms	(* (cos x) (* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y))))
8.0ms	(/ (sinh y) y)
7.0ms	(/ (sinh y) y)
34.0ms	(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))

series514.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(* (cos x) (* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y))))
147.0ms	(/ (sinh y) y)
123.0ms	(/ (sinh y) y)
123.0ms	(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))

simplify2.4s

Counts

185 → 185

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	335	61949
1	871	49111
done	5000	47736

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

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:

29.0ms	(* (cos x) (* (sinh y) (/ 1 y)))
18.0ms	(* (sinh y) (/ 1 y))

series234.0ms

Counts

2 → 6

Calls

2 calls:

114.0ms	(* (cos x) (* (sinh y) (/ 1 y)))
121.0ms	(* (sinh y) (/ 1 y))

simplify1.2s

Counts

74 → 74

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	148	21285
1	385	16427
2	1573	15010
done	5001	14888

prune374.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes197.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	277
1	9	277
done	9	277

end0.0ms

sample4.8s

Algorithm

intervals

Results

1.6s	3047×	body	1280	valid
1.2s	2618×	body	640	valid
1.0s	8525×	body	80	valid
446.0ms	1221×	body	320	valid
91.0ms	638×	body	160	valid