Details

sample115.0ms

Algorithm

intervals

Results

30.0ms	65×	body	1280	valid
25.0ms	355×	body	80	valid
17.0ms	58×	body	640	valid
10.0ms	44×	body	320	valid
5.0ms	30×	body	160	valid

simplify2.6s

Counts

1 → 1

Iterations

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
13.1b	(/ (* (sin x) (sinh y)) x)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

2.0ms	(sinh y)
16.0ms	(* (sin x) (sinh y))
18.0ms	(/ (* (sin x) (sinh y)) x)

series333.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(sinh y)
112.0ms	(* (sin x) (sinh y))
135.0ms	(/ (* (sin x) (sinh y)) x)

simplify1.3s

Counts

64 → 64

Iterations

Iter	Nodes
done	5001
2	1593
1	299
0	122

prune350.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

5.0ms	(/ (sinh y) x)
1.0ms	(sinh y)
16.0ms	(* (sin x) (/ (sinh y) x))

series297.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(/ (sinh y) x)
83.0ms	(sinh y)
118.0ms	(* (sin x) (/ (sinh y) x))

simplify1.2s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
2	1717
1	357
0	146

prune432.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ x (sinh y))
1.2b	(/ (sin x) (/ x (sinh y)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 116

Calls

3 calls:

1.0ms	(sinh y)
4.0ms	(/ x (sinh y))
10.0ms	(/ (sin x) (/ x (sinh y)))

series369.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(sinh y)
178.0ms	(/ x (sinh y))
123.0ms	(/ (sin x) (/ x (sinh y)))

simplify1.3s

Counts

125 → 125

Iterations

Iter	Nodes
done	5001
2	2810
1	553
0	221

prune755.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
13×	`associate-l`
10×	`add-cbrt-cube` `add-exp-log`
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` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

3 → 75

Calls

3 calls:

2.0ms	(sinh y)
24.0ms	(* (/ (sin x) x) (sinh y))
11.0ms	(/ (sin x) x)

series271.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(sinh y)
145.0ms	(* (/ (sin x) x) (sinh y))
51.0ms	(/ (sin x) x)

simplify1.0s

Counts

84 → 84

Iterations

Iter	Nodes
done	5001
2	1460
1	335
0	140

prune413.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes149.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.2s	1938×	body	640	valid
1.1s	1796×	body	1280	valid
851.0ms	10333×	body	80	valid
235.0ms	1118×	body	320	valid
85.0ms	586×	body	160	valid