Details

sample119.0ms

Algorithm

intervals

Results

36.0ms	74×	body	1280	valid
25.0ms	80×	body	640	valid
21.0ms	293×	body	80	valid
8.0ms	34×	body	320	valid
3.0ms	22×	body	160	valid

simplify13.1s

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	265	7
6	482	7
7	1041	7
8	1987	7
9	3484	7
10	4730	7
done	5000	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

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×	`expm1-log1p-u` `associate-l` `associate-/r` `log1p-expm1-u` `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 → 74

Calls

3 calls:

8.0ms	(/ (sinh y) y)
1.0ms	(sinh y)
19.0ms	(* (sin x) (/ (sinh y) y))

series418.0ms

Counts

3 → 9

Calls

3 calls:

166.0ms	(/ (sinh y) y)
100.0ms	(sinh y)
152.0ms	(* (sin x) (/ (sinh y) y))

simplify3.4s

Counts

83 → 83

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	146	764
1	337	716
2	1076	650
3	3673	649
done	5000	636

prune286.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt y)
0.7b	(cbrt (sinh y))
0.7b	(cbrt (sinh y))
0.7b	(cbrt (sinh y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`sinh-def` `cbrt-div`

Counts

4 → 55

Calls

4 calls:

1.0ms	(cbrt y)
2.0ms	(cbrt (sinh y))
1.0ms	(cbrt (sinh y))
2.0ms	(cbrt (sinh y))

series1.1s

Counts

4 → 12

Calls

4 calls:

297.0ms	(cbrt y)
284.0ms	(cbrt (sinh y))
307.0ms	(cbrt (sinh y))
226.0ms	(cbrt (sinh y))

simplify2.5s

Counts

67 → 67

Iterations

Useful iterations: 3 (125.0ms)

Iter	Nodes	Cost
0	66	437
1	116	409
2	223	385
3	431	370
4	1011	370
5	3024	370
done	5000	370

prune350.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

90×	`cbrt-prod`
76×	`add-sqr-sqrt`
60×	`times-frac`
51×	`add-cube-cbrt` `*-un-lft-identity`
19×	`associate-l`
17×	`associate-r`
16×	`pow1` `swap-sqr`
11×	`add-exp-log`
10×	`cbrt-div` `unswap-sqr`
8×	`pow1/3`
7×	`add-cbrt-cube`
6×	`div-inv`
5×	`associate-*r/` `pow-prod-down`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`frac-times` `associate-l/` `pow-sqr` `-commutative` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 152

Calls

4 calls:

2.0ms	(cbrt (/ (sinh y) y))
3.0ms	(cbrt (/ (sinh y) y))
37.0ms	(* (sin x) (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))))
46.0ms	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))

series1.2s

Counts

4 → 12

Calls

4 calls:

263.0ms	(cbrt (/ (sinh y) y))
267.0ms	(cbrt (/ (sinh y) y))
297.0ms	(* (sin x) (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))))
387.0ms	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))

simplify2.6s

Counts

164 → 164

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	229	2493
1	440	2345
2	1201	2214
3	3132	2063
done	5000	2030

prune740.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes147.0ms

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	6	7
1	7	7
done	7	7

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.3s	3006×	body	1280	valid
1.2s	2423×	body	640	valid
846.0ms	1260×	body	320	valid
803.0ms	8567×	body	80	valid
147.0ms	628×	body	160	valid