Details

sample77.0ms

Algorithm

intervals

Results

28.0ms	101×	body	1280	valid
17.0ms	77×	body	640	valid
10.0ms	247×	body	80	valid
6.0ms	47×	body	320	valid
2.0ms	24×	body	160	valid

simplify3.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	29	7
3	64	7
4	136	7
5	247	7
6	455	7
7	1025	7
8	2084	7
9	3129	7
done	5000	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

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:

2.0ms	(/ (sinh y) y)
0.0ms	(sinh y)
8.0ms	(* (sin x) (/ (sinh y) y))

series257.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(/ (sinh y) y)
60.0ms	(sinh y)
109.0ms	(* (sin x) (/ (sinh y) y))

simplify609.0ms

Counts

77 → 77

Iterations

Useful iterations: done (607.0ms)

Iter	Nodes	Cost
0	140	732
1	331	689
2	1114	623
done	5001	599

prune181.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

23.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
0.0ms	(sinh y)
0.0ms	(sinh y)
11.0ms	(* (sin x) (sqrt (/ (sinh y) y)))

series433.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
63.0ms	(sinh y)
62.0ms	(sinh y)
185.0ms	(* (sin x) (sqrt (/ (sinh y) y)))

simplify1.3s

Counts

96 → 96

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	301	1729
1	846	1486
2	3655	1287
done	5000	1284

prune286.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

47×	`sqrt-prod`
35×	`associate-r`
31×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-div`
19×	`times-frac`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-*r/`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`frac-times` `associate-*l/`
4×	`associate-l` `add-log-exp` `unswap-sqr`
2×	`sinh-def` `*-commutative` `div-inv`

Counts

4 → 95

Calls

4 calls:

0.0ms	(sinh y)
0.0ms	(sinh y)
104.0ms	(* (* (* (sin x) (sqrt (sqrt (/ (sinh y) y)))) (sqrt (sqrt (/ (sinh y) y)))) (sqrt (/ (sinh y) y)))
14.0ms	(* (sin x) (sqrt (sqrt (/ (sinh y) y))))

series434.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(sinh y)
62.0ms	(sinh y)
125.0ms	(* (* (* (sin x) (sqrt (sqrt (/ (sinh y) y)))) (sqrt (sqrt (/ (sinh y) y)))) (sqrt (/ (sinh y) y)))
184.0ms	(* (sin x) (sqrt (sqrt (/ (sinh y) y))))

simplify1.2s

Counts

107 → 107

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	296	2180
1	780	1701
2	3088	1339
done	5001	1337

prune325.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
12.4b	(* (* (sin x) (sinh y)) (/ 1 y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
17×	`add-cbrt-cube`
16×	`associate-r`
14×	`add-sqr-sqrt`
13×	`prod-exp`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1`
9×	`times-frac`
7×	`cbrt-unprod`
4×	`sinh-def` `associate-r/` `div-exp` `associate-l*` `pow-prod-down`
3×	`add-log-exp`
2×	`cbrt-undiv` `rec-exp` `1-exp` `*-commutative`
1×	`frac-times` `associate-*l/` `un-div-inv` `div-inv` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

0.0ms	(sinh y)
4.0ms	(* (sin x) (sinh y))
12.0ms	(* (* (sin x) (sinh y)) (/ 1 y))

series238.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(sinh y)
81.0ms	(* (sin x) (sinh y))
97.0ms	(* (* (sin x) (sinh y)) (/ 1 y))

simplify785.0ms

Counts

76 → 76

Iterations

Useful iterations: done (783.0ms)

Iter	Nodes	Cost
0	154	827
1	416	703
2	1379	586
done	5000	548

prune138.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes69.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	13	22
done	13	22

end0.0ms

sample2.2s

Algorithm

intervals

Results

853.0ms	2992×	body	1280	valid
425.0ms	2379×	body	640	valid
349.0ms	8530×	body	80	valid
154.0ms	1210×	body	320	valid
54.0ms	643×	body	160	valid