Details

sample166.0ms

Algorithm

intervals

Results

59.0ms	75×	body	640	valid
50.0ms	101×	body	1280	valid
20.0ms	274×	body	80	valid
10.0ms	42×	body	320	valid
3.0ms	21×	body	160	valid

simplify3.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	197
1	15	197
2	30	197
3	65	197
4	126	197
5	236	197
6	607	197
7	1809	197
done	5004	197

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite45.0ms

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×	`associate-/r` `associate-l` `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 → 68

Calls

3 calls:

2.0ms	(sinh y)
25.0ms	(* (cos x) (/ (sinh y) y))
14.0ms	(/ (sinh y) y)

series373.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(sinh y)
144.0ms	(* (cos x) (/ (sinh y) y))
136.0ms	(/ (sinh y) y)

simplify3.1s

Counts

77 → 77

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	137	20267
1	335	18563
2	1061	17632
3	3684	17513
done	5005	17513

prune436.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

162×	`times-frac`
106×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
92×	`add-cube-cbrt`
47×	`associate-r`
36×	`add-exp-log`
20×	`add-cbrt-cube`
17×	`associate-/r*`
15×	`div-exp`
10×	`associate-/r/` `div-inv`
9×	`sinh-def`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`associate-l` `cbrt-unprod`
2×	`clear-num` `frac-2neg`
1×	`pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 192

Calls

4 calls:

1.0ms	(sinh y)
48.0ms	(* (cos x) (/ 1 (/ y (sinh y))))
8.0ms	(/ y (sinh y))
17.0ms	(/ 1 (/ y (sinh y)))

series518.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(sinh y)
123.0ms	(* (cos x) (/ 1 (/ y (sinh y))))
152.0ms	(/ y (sinh y))
126.0ms	(/ 1 (/ y (sinh y)))

simplify2.9s

Counts

204 → 204

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	288	68054
1	785	54977
2	2319	49257
done	5001	47810

prune945.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

898×	`times-frac`
441×	`add-sqr-sqrt`
412×	`*-un-lft-identity`
406×	`add-cube-cbrt`
187×	`associate-r`
106×	`add-exp-log`
66×	`div-exp`
59×	`div-inv`
36×	`add-cbrt-cube`
30×	`associate-/r/`
29×	`sinh-def`
17×	`cbrt-undiv` `rec-exp` `associate-/r*` `1-exp` `prod-exp`
16×	`associate-/l*`
10×	`unswap-sqr`
7×	`pow1`
5×	`cbrt-unprod`
4×	`add-log-exp`
3×	`associate-l`
2×	`clear-num` `frac-2neg`
1×	`pow-prod-down` `associate-r/` `-commutative` `pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 513

Calls

4 calls:

1.0ms	(sinh y)
93.0ms	(* (cos x) (/ (/ 1 y) (/ 1 (sinh y))))
24.0ms	(/ (/ 1 y) (/ 1 (sinh y)))
8.0ms	(/ 1 (sinh y))

series768.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(sinh y)
475.0ms	(* (cos x) (/ (/ 1 y) (/ 1 (sinh y))))
121.0ms	(/ (/ 1 y) (/ 1 (sinh y)))
99.0ms	(/ 1 (sinh y))

simplify4.2s

Counts

525 → 525

Iterations

Useful iterations: done (4.2s)

Iter	Nodes	Cost
0	677	239210
1	2164	176635
2	4410	150688
done	5039	149720

prune1.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.1b	(/ (sqrt (sinh y)) y)
0.1b	(* (sqrt (sinh y)) (cos x))
0.2b	(* (* (sqrt (sinh y)) (cos x)) (/ (sqrt (sinh y)) y))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
36×	`times-frac`
35×	`*-un-lft-identity` `add-cube-cbrt`
25×	`associate-r` `sqrt-prod`
20×	`add-cbrt-cube` `add-exp-log`
11×	`pow1`
7×	`associate-l` `prod-exp` `cbrt-unprod`
6×	`associate-/l*`
5×	`sinh-def`
4×	`sqrt-div` `pow-prod-down` `associate-*l/` `add-log-exp`
3×	`cbrt-undiv` `associate-/r*` `div-exp`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`frac-times` `clear-num` `frac-2neg` `associate-*r/` `associate-/l/`

Counts

4 → 115

Calls

4 calls:

1.0ms	(sinh y)
6.0ms	(/ (sqrt (sinh y)) y)
19.0ms	(* (sqrt (sinh y)) (cos x))
33.0ms	(* (* (sqrt (sinh y)) (cos x)) (/ (sqrt (sinh y)) y))

series441.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(sinh y)
129.0ms	(/ (sqrt (sinh y)) y)
136.0ms	(* (sqrt (sinh y)) (cos x))
98.0ms	(* (* (sqrt (sinh y)) (cos x)) (/ (sqrt (sinh y)) y))

simplify2.4s

Counts

127 → 127

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	197	41752
1	503	38440
2	1601	36037
done	5001	35166

prune498.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes119.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	238
1	11	238
done	11	238

end0.0ms

sample4.6s

Algorithm

intervals

Results

1.7s	2901×	body	1280	valid
1.1s	8385×	body	80	valid
984.0ms	2477×	body	640	valid
326.0ms	1199×	body	320	valid
97.0ms	661×	body	160	valid