Details

sample107.0ms

Algorithm

intervals

Results

38.0ms	92×	body	1280	valid
23.0ms	81×	body	640	valid
14.0ms	232×	body	80	valid
8.0ms	40×	body	320	valid
2.0ms	11×	body	160	valid

simplify2.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	30	7
3	67	7
4	137	7
5	262	7
6	805	7
7	4114	7
done	5000	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

11.0ms	(/ (sinh y) y)
2.0ms	(sinh y)
26.0ms	(* (sin x) (/ (sinh y) y))

series315.0ms

Counts

3 → 9

Calls

3 calls:

115.0ms	(/ (sinh y) y)
79.0ms	(sinh y)
121.0ms	(* (sin x) (/ (sinh y) y))

simplify1.1s

Counts

77 → 77

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	140	732
1	349	693
2	1720	629
done	5001	621

prune328.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite85.0ms

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×	`frac-2neg` `clear-num`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 192

Calls

4 calls:

14.0ms	(/ 1 (/ y (sinh y)))
2.0ms	(sinh y)
6.0ms	(/ y (sinh y))
54.0ms	(* (sin x) (/ 1 (/ y (sinh y))))

series415.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(/ 1 (/ y (sinh y)))
69.0ms	(sinh y)
118.0ms	(/ y (sinh y))
130.0ms	(* (sin x) (/ 1 (/ y (sinh y))))

simplify528.0ms

Counts

204 → 204

Iterations

Useful iterations: done (521.0ms)

Iter	Nodes	Cost
0	291	2521
1	806	2098
done	5000	1889

prune775.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `sqrt-prod`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac` `associate-r`
17×	`associate-l`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`sqrt-div`
4×	`pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unswap-sqr`
2×	`sinh-def` `*-commutative` `div-inv`
1×	`frac-times` `associate-*r/`

Counts

4 → 84

Calls

4 calls:

65.0ms	(* (* (sqrt (/ (sinh y) y)) (sin x)) (sqrt (/ (sinh y) y)))
2.0ms	(sinh y)
2.0ms	(sinh y)
28.0ms	(* (sqrt (/ (sinh y) y)) (sin x))

series521.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(* (* (sqrt (/ (sinh y) y)) (sin x)) (sqrt (/ (sinh y) y)))
69.0ms	(sinh y)
67.0ms	(sinh y)
225.0ms	(* (sqrt (/ (sinh y) y)) (sin x))

simplify2.3s

Counts

96 → 96

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	297	1661
1	802	1555
2	4408	1443
done	5001	1435

prune585.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (/ y (sinh y)))
0.0b	(cbrt (/ y (sinh y)))
0.0b	(cbrt (/ y (sinh y)))
0.0b	(* (/ (sin x) (* (cbrt (/ y (sinh y))) (cbrt (/ y (sinh y))))) (/ (sqrt 1) (cbrt (/ y (sinh y)))))

rewrite219.0ms

Algorithm

rewrite-expression-head

Rules

220×	`times-frac`
168×	`add-sqr-sqrt`
138×	`cbrt-prod`
116×	`*-un-lft-identity`
110×	`add-cube-cbrt`
107×	`associate-r`
63×	`sqrt-prod`
25×	`add-exp-log`
20×	`unswap-sqr`
18×	`add-cbrt-cube`
13×	`associate-/r/`
11×	`div-inv`
10×	`associate-l`
9×	`sinh-def`
8×	`cbrt-div` `prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow1`
4×	`add-log-exp`
3×	`pow1/3`
2×	`frac-times` `associate-r/` `associate-l/`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 230

Calls

4 calls:

5.0ms	(cbrt (/ y (sinh y)))
5.0ms	(cbrt (/ y (sinh y)))
6.0ms	(cbrt (/ y (sinh y)))
178.0ms	(* (/ (sin x) (* (cbrt (/ y (sinh y))) (cbrt (/ y (sinh y))))) (/ (sqrt 1) (cbrt (/ y (sinh y)))))

series1.3s

Counts

4 → 12

Calls

4 calls:

347.0ms	(cbrt (/ y (sinh y)))
341.0ms	(cbrt (/ y (sinh y)))
358.0ms	(cbrt (/ y (sinh y)))
224.0ms	(* (/ (sin x) (* (cbrt (/ y (sinh y))) (cbrt (/ y (sinh y))))) (/ (sqrt 1) (cbrt (/ y (sinh y)))))

simplify864.0ms

Counts

242 → 242

Iterations

Useful iterations: done (850.0ms)

Iter	Nodes	Cost
0	379	5769
1	1167	5135
done	5000	4585

prune1.5s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes227.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample5.8s

Algorithm

intervals

Results

2.2s	2956×	body	1280	valid
1.5s	8681×	body	80	valid
947.0ms	2487×	body	640	valid
360.0ms	1200×	body	320	valid
97.0ms	609×	body	160	valid