Details

sample92.0ms

Algorithm

intervals

Results

31.0ms	58×	body	640	valid
17.0ms	54×	body	1280	valid
17.0ms	354×	body	80	valid
5.0ms	36×	body	320	valid
2.0ms	15×	body	160	valid

simplify2.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	197
1	15	197
2	32	197
3	69	197
4	146	197
5	295	197
6	882	197
7	4195	197
done	5000	197

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize16.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (sin x) (sinh y))
14.3b	(/ (* (sin x) (sinh y)) x)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `add-cube-cbrt`
4×	`pow1`
3×	`associate-/r` `times-frac` `associate-r` `associate-l*`
2×	`expm1-log1p-u` `cbrt-undiv` `sinh-def` `div-exp` `prod-exp` `associate-*r/` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `unswap-sqr` `associate-/l/`

Counts

2 → 45

Calls

2 calls:

9.0ms	(* (sin x) (sinh y))
11.0ms	(/ (* (sin x) (sinh y)) x)

series198.0ms

Counts

2 → 6

Calls

2 calls:

94.0ms	(* (sin x) (sinh y))
104.0ms	(/ (* (sin x) (sinh y)) x)

simplify1.4s

Counts

51 → 51

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	111	14084
1	279	12986
2	1613	12230
done	5002	12206

prune358.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (sinh y) x)
0.4b	(* (sin x) (/ (sinh y) x))

rewrite33.0ms

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:

9.0ms	(/ (sinh y) x)
22.0ms	(* (sin x) (/ (sinh y) x))

series224.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(/ (sinh y) x)
133.0ms	(* (sin x) (/ (sinh y) x))

simplify1.3s

Counts

70 → 70

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	136	19139
1	341	17742
2	1663	17020
done	5000	16861

prune334.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

1.2b	(/ (sin x) (/ x (sinh y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
44×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
14×	`associate-/r*`
6×	`add-cbrt-cube` `add-exp-log`
5×	`associate-/r/` `div-inv`
4×	`sinh-def`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
1×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `log1p-expm1-u` `add-log-exp`

Counts

1 → 76

Calls

1 calls:

11.0ms

(/ (sin x) (/ x (sinh y)))

series121.0ms

Counts

1 → 3

Calls

1 calls:

121.0ms

(/ (sin x) (/ x (sinh y)))

simplify1.6s

Counts

79 → 79

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	188	35340
1	479	33548
2	2536	32310
done	5001	32206

prune466.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ (sinh y) x)) (cbrt (/ (sinh y) x)))
14.1b	(cbrt (/ (sinh y) x))
14.1b	(cbrt (/ (sinh y) x))
14.1b	(cbrt (/ (sinh y) x))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`*-un-lft-identity` `add-cube-cbrt`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 152

Calls

4 calls:

26.0ms	(* (cbrt (/ (sinh y) x)) (cbrt (/ (sinh y) x)))
4.0ms	(cbrt (/ (sinh y) x))
4.0ms	(cbrt (/ (sinh y) x))
8.0ms	(cbrt (/ (sinh y) x))

series931.0ms

Counts

4 → 12

Calls

4 calls:

230.0ms	(* (cbrt (/ (sinh y) x)) (cbrt (/ (sinh y) x)))
239.0ms	(cbrt (/ (sinh y) x))
245.0ms	(cbrt (/ (sinh y) x))
216.0ms	(cbrt (/ (sinh y) x))

simplify1.7s

Counts

164 → 164

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	195	66391
1	393	62334
2	1550	61574
done	5000	60869

prune1.0s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes282.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	197
done	6	197

end0.0ms

sample4.9s

Algorithm

intervals

Results

1.2s	1953×	body	1280	valid
1.1s	1105×	body	320	valid
1.0s	10324×	body	80	valid
862.0ms	2049×	body	640	valid
172.0ms	615×	body	160	valid