Details

sample113.0ms

Algorithm

intervals

Results

39.0ms	92×	body	1280	valid
28.0ms	81×	body	640	valid
14.0ms	232×	body	80	valid
7.0ms	40×	body	320	valid
1.0ms	11×	body	160	valid

simplify2.4s

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	139	7
5	271	7
6	828	7
7	4211	7
done	5000	7

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

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:

10.0ms	(/ (sinh y) y)
1.0ms	(sinh y)
19.0ms	(* (sin x) (/ (sinh y) y))

series336.0ms

Counts

3 → 9

Calls

3 calls:

120.0ms	(/ (sinh y) y)
84.0ms	(sinh y)
132.0ms	(* (sin x) (/ (sinh y) y))

simplify1.1s

Counts

83 → 83

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	146	764
1	363	720
2	1761	657
done	5000	649

prune389.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize20.0ms

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))))

rewrite94.0ms

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

Counts

4 → 200

Calls

4 calls:

17.0ms	(/ 1 (/ y (sinh y)))
1.0ms	(sinh y)
8.0ms	(/ y (sinh y))
52.0ms	(* (sin x) (/ 1 (/ y (sinh y))))

series455.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(/ 1 (/ y (sinh y)))
66.0ms	(sinh y)
126.0ms	(/ y (sinh y))
141.0ms	(* (sin x) (/ 1 (/ y (sinh y))))

simplify551.0ms

Counts

212 → 212

Iterations

Useful iterations: done (544.0ms)

Iter	Nodes	Cost
0	299	2571
1	827	2142
done	5001	1929

prune686.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 116

Calls

3 calls:

21.0ms	(/ (sin x) (/ y (sinh y)))
2.0ms	(sinh y)
7.0ms	(/ y (sinh y))

series347.0ms

Counts

3 → 9

Calls

3 calls:

144.0ms	(/ (sin x) (/ y (sinh y)))
87.0ms	(sinh y)
117.0ms	(/ y (sinh y))

simplify1.3s

Counts

125 → 125

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	225	1580
1	567	1500
2	2925	1420
done	5000	1418

prune641.0ms

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	(/ (sin x) (expm1 (log1p (/ y (sinh y)))))
0.0b	(sinh y)
0.0b	(/ y (sinh y))
0.0b	(expm1 (log1p (/ y (sinh y))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

13.0ms	(/ (sin x) (expm1 (log1p (/ y (sinh y)))))
2.0ms	(sinh y)
9.0ms	(/ y (sinh y))
0.0ms	(expm1 (log1p (/ y (sinh y))))

series945.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(/ (sin x) (expm1 (log1p (/ y (sinh y)))))
71.0ms	(sinh y)
119.0ms	(/ y (sinh y))
594.0ms	(expm1 (log1p (/ y (sinh y))))

simplify994.0ms

Counts

92 → 92

Iterations

Useful iterations: done (992.0ms)

Iter	Nodes	Cost
0	193	1124
1	440	946
2	1521	870
done	5000	853

prune601.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes240.0ms

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: 1 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	10	7
done	10	7

end0.0ms

sample5.5s

Algorithm

intervals

Results

1.9s	2956×	body	1280	valid
930.0ms	2487×	body	640	valid
805.0ms	1200×	body	320	valid
763.0ms	8681×	body	80	valid
483.0ms	609×	body	160	valid