Details

sample93.0ms

Algorithm

intervals

Results

24.0ms	62×	body	1280	valid
21.0ms	61×	body	640	valid
18.0ms	322×	body	80	valid
6.0ms	34×	body	320	valid
2.0ms	19×	body	160	valid

simplify45.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	32	4
2	68	4
3	146	4
4	292	4
5	556	4
6	1543	4
7	5001	4
done	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
11.7b	(/ (* (sin x) (sinh y)) x)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

1.0ms	(sinh y)
11.0ms	(* (sin x) (sinh y))
13.0ms	(/ (* (sin x) (sinh y)) x)

series243.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(sinh y)
86.0ms	(* (sin x) (sinh y))
95.0ms	(/ (* (sin x) (sinh y)) x)

simplify36.0ms

Counts

64 → 64

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	292	340
1	1273	291
2	5001	273
done	5001	273

prune145.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sinh y) x)
0.0b	(sinh y)
0.2b	(* (sin x) (/ (sinh y) x))

rewrite26.0ms

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:

7.0ms	(/ (sinh y) x)
1.0ms	(sinh y)
16.0ms	(* (sin x) (/ (sinh y) x))

series235.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(/ (sinh y) x)
63.0ms	(sinh y)
96.0ms	(* (sin x) (/ (sinh y) x))

simplify46.0ms

Counts

83 → 83

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	342	450
1	1303	402
2	5001	400
done	5001	400

prune210.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(sinh y)
0.8b	(/ (sin x) (/ x (sinh y)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 86

Calls

2 calls:

1.0ms	(sinh y)
13.0ms	(/ (sin x) (/ x (sinh y)))

series160.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(sinh y)
98.0ms	(/ (sin x) (/ x (sinh y)))

simplify51.0ms

Counts

92 → 92

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	453	793
1	1878	752
2	5002	747
done	5002	747

prune225.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (/ (sin x) x) (sinh y))
0.1b	(/ (sin x) x)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 75

Calls

3 calls:

1.0ms	(sinh y)
17.0ms	(* (/ (sin x) x) (sinh y))
8.0ms	(/ (sin x) x)

series185.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(sinh y)
97.0ms	(* (/ (sin x) x) (sinh y))
31.0ms	(/ (sin x) x)

simplify36.0ms

Counts

84 → 84

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	323	445
1	1263	397
2	5001	374
done	5001	374

prune177.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes77.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5
done	11	5

end0.0ms

sample1.8s

Algorithm

intervals

Results

491.0ms	1848×	body	1280	valid
384.0ms	10241×	body	80	valid
340.0ms	1994×	body	640	valid
134.0ms	1125×	body	320	valid
54.0ms	578×	body	160	valid