Details

sample98.0ms

Algorithm

intervals

Results

24.0ms	53×	body	1280	valid
23.0ms	347×	body	80	valid
16.0ms	52×	body	640	valid
6.0ms	30×	body	320	valid
2.0ms	15×	body	160	valid

simplify3.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	1703
6	620
5	247
4	128
3	62
2	30
1	15
0	6

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.6b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
14.5b	(/ (* (sin x) (sinh y)) x)

rewrite53.0ms

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×	`sinh-def` `associate-/r` `times-frac` `associate-r` `associate-l*` `insert-posit16` `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 → 52

Calls

3 calls:

2.0ms	(sinh y)
20.0ms	(* (sin x) (sinh y))
28.0ms	(/ (* (sin x) (sinh y)) x)

series479.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(sinh y)
189.0ms	(* (sin x) (sinh y))
199.0ms	(/ (* (sin x) (sinh y)) x)

simplify2.2s

Counts

61 → 61

Iterations

Iter	Nodes
done	5002
2	980
1	287
0	119

prune637.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 3 expressions with local error:

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

rewrite63.0ms

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×	`associate-/r` `associate-l` `insert-posit16` `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 → 71

Calls

3 calls:

3.0ms	(sinh y)
15.0ms	(/ (sinh y) x)
37.0ms	(* (sin x) (/ (sinh y) x))

series457.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(sinh y)
145.0ms	(/ (sinh y) x)
233.0ms	(* (sin x) (/ (sinh y) x))

simplify5.3s

Counts

80 → 80

Iterations

Iter	Nodes
done	5021
3	3712
2	1013
1	346
0	143

prune759.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ x (sinh y))
0.6b	(/ (sin x) (/ x (sinh y)))

rewrite55.0ms

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×	`pow1` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg`

Counts

3 → 113

Calls

3 calls:

3.0ms	(sinh y)
13.0ms	(/ x (sinh y))
26.0ms	(/ (sin x) (/ x (sinh y)))

series507.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(sinh y)
234.0ms	(/ x (sinh y))
174.0ms	(/ (sin x) (/ x (sinh y)))

simplify3.0s

Counts

122 → 122

Iterations

Iter	Nodes
done	5000
2	1734
1	531
0	218

prune1.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite61.0ms

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×	`sinh-def` `associate-/r` `associate-r` `insert-posit16` `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 → 72

Calls

3 calls:

3.0ms	(sinh y)
36.0ms	(* (/ (sin x) x) (sinh y))
16.0ms	(/ (sin x) x)

series332.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(sinh y)
195.0ms	(* (/ (sin x) x) (sinh y))
51.0ms	(/ (sin x) x)

simplify5.8s

Counts

81 → 81

Iterations

Iter	Nodes
done	5038
3	4035
2	1096
1	330
0	137

prune779.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes373.0ms

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	7
1	7
0	6

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.0s	1921×	body	1280	valid
921.0ms	1937×	body	640	valid
833.0ms	10470×	body	80	valid
331.0ms	1114×	body	320	valid
114.0ms	558×	body	160	valid