Details

sample103.0ms

Algorithm

intervals

Results

43.0ms	101×	body	1280	valid
17.0ms	75×	body	640	valid
14.0ms	274×	body	80	valid
7.0ms	42×	body	320	valid
3.0ms	21×	body	160	valid

simplify4.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	197
1	15	197
2	30	197
3	65	197
4	128	197
5	245	197
6	631	197
7	1888	197
done	5001	197

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

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)
26.0ms	(* (cos x) (/ (sinh y) y))
11.0ms	(/ (sinh y) y)

series366.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(sinh y)
143.0ms	(* (cos x) (/ (sinh y) y))
140.0ms	(/ (sinh y) y)

simplify3.3s

Counts

83 → 83

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	143	21445
1	348	19641
2	1076	18605
3	3808	17997
done	5001	17860

prune432.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize18.0ms

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)))

rewrite100.0ms

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×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `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 → 200

Calls

4 calls:

2.0ms	(sinh y)
58.0ms	(* (cos x) (/ 1 (/ y (sinh y))))
8.0ms	(/ y (sinh y))
17.0ms	(/ 1 (/ y (sinh y)))

series434.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(sinh y)
115.0ms	(* (cos x) (/ 1 (/ y (sinh y))))
111.0ms	(/ y (sinh y))
122.0ms	(/ 1 (/ y (sinh y)))

simplify2.5s

Counts

212 → 212

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	296	69748
1	807	56546
2	2088	52316
done	5002	48853

prune875.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cos x) (/ 1 (expm1 (log1p (/ y (sinh y))))))
0.0b	(sinh y)
0.0b	(expm1 (log1p (/ y (sinh y))))
0.0b	(/ 1 (expm1 (log1p (/ y (sinh y)))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
20×	`times-frac` `add-cube-cbrt`
17×	`add-exp-log`
13×	`associate-r`
11×	`add-cbrt-cube`
7×	`pow1`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-l` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `div-inv`
1×	`expm1-log1p` `sinh-def` `clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow` `expm1-udef`

Counts

4 → 92

Calls

4 calls:

27.0ms	(* (cos x) (/ 1 (expm1 (log1p (/ y (sinh y))))))
2.0ms	(sinh y)
0.0ms	(expm1 (log1p (/ y (sinh y))))
9.0ms	(/ 1 (expm1 (log1p (/ y (sinh y)))))

series1.0s

Counts

4 → 12

Calls

4 calls:

161.0ms	(* (cos x) (/ 1 (expm1 (log1p (/ y (sinh y))))))
83.0ms	(sinh y)
536.0ms	(expm1 (log1p (/ y (sinh y))))
257.0ms	(/ 1 (expm1 (log1p (/ y (sinh y)))))

simplify4.8s

Counts

104 → 104

Iterations

Useful iterations: done (4.8s)

Iter	Nodes	Cost
0	245	47691
1	690	28839
2	2515	26036
done	5012	25341

prune571.0ms

Pruning

2 alts after pruning (1 fresh and 1 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))

rewrite82.0ms

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×	`expm1-log1p-u` `sqrt-div` `pow-prod-down` `associate-*l/` `log1p-expm1-u` `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 → 123

Calls

4 calls:

1.0ms	(sinh y)
6.0ms	(/ (sqrt (sinh y)) y)
11.0ms	(* (sqrt (sinh y)) (cos x))
58.0ms	(* (* (sqrt (sinh y)) (cos x)) (/ (sqrt (sinh y)) y))

series388.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(sinh y)
110.0ms	(/ (sqrt (sinh y)) y)
117.0ms	(* (sqrt (sinh y)) (cos x))
86.0ms	(* (* (sqrt (sinh y)) (cos x)) (/ (sqrt (sinh y)) y))

simplify2.5s

Counts

135 → 135

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	205	43724
1	519	40362
2	1648	37764
done	5001	36934

prune681.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes137.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	398
1	13	398
done	13	398

end0.0ms

sample4.7s

Algorithm

intervals

Results

1.9s	2901×	body	1280	valid
1.2s	2477×	body	640	valid
621.0ms	8385×	body	80	valid
419.0ms	1199×	body	320	valid
92.0ms	661×	body	160	valid