Details

sample98.0ms

Algorithm

intervals

Results

30.0ms	85×	body	1280	valid
16.0ms	73×	body	640	valid
15.0ms	289×	body	80	valid
11.0ms	34×	body	320	valid
2.0ms	16×	body	160	valid

simplify4.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5004
7	1809
6	607
5	236
4	126
3	65
2	30
1	15
0	6

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite50.0ms

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:

29.0ms	(* (sin x) (/ (sinh y) y))
4.0ms	(sinh y)
13.0ms	(/ (sinh y) y)

series502.0ms

Counts

3 → 9

Calls

3 calls:

224.0ms	(* (sin x) (/ (sinh y) y))
102.0ms	(sinh y)
176.0ms	(/ (sinh y) y)

simplify5.3s

Counts

80 → 80

Iterations

Iter	Nodes
done	5001
3	3601
2	1075
1	349
0	143

prune862.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize113.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sinh y) y)
0.0b	(sqrt (sin x))
0.0b	(sqrt (sin x))
0.3b	(* (* (sqrt (sin x)) (sqrt (/ (sinh y) y))) (* (sqrt (sin x)) (sqrt (/ (sinh y) y))))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
35×	`pow-prod-down`
18×	`sqrt-pow1` `add-cbrt-cube` `pow1/2` `add-exp-log`
16×	`add-sqr-sqrt`
14×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
8×	`prod-exp` `pow-prod-up` `cbrt-unprod`
6×	`pow-sqr` `sqrt-prod`
5×	`sqrt-unprod` `associate-*r/`
4×	`sqrt-div` `insert-posit16` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`rem-sqrt-square` `pow-plus`
1×	`pow2` `frac-times` `cbrt-undiv` `sinh-def` `clear-num` `rem-square-sqrt` `frac-2neg` `swap-sqr` `div-exp` `associate-r` `associate-l` `associate-l/` `-commutative` `div-inv` `associate-/l/`

Counts

4 → 105

Calls

4 calls:

9.0ms	(/ (sinh y) y)
3.0ms	(sqrt (sin x))
3.0ms	(sqrt (sin x))
167.0ms	(* (* (sqrt (sin x)) (sqrt (/ (sinh y) y))) (* (sqrt (sin x)) (sqrt (/ (sinh y) y))))

series625.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(/ (sinh y) y)
27.0ms	(sqrt (sin x))
25.0ms	(sqrt (sin x))
411.0ms	(* (* (sqrt (sin x)) (sqrt (/ (sinh y) y))) (* (sqrt (sin x)) (sqrt (/ (sinh y) y))))

simplify4.4s

Counts

117 → 117

Iterations

Iter	Nodes
done	5000
2	2323
1	618
0	229

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(* (sin x) (sqrt (/ (sinh y) y)))
0.1b	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (sinh y)))
2.6b	(/ (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (sinh y))) (sqrt y))

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
24×	`sqrt-prod`
22×	`associate-r`
20×	`add-cbrt-cube` `add-exp-log`
19×	`*-un-lft-identity` `add-cube-cbrt`
16×	`times-frac`
11×	`pow1`
9×	`sqrt-div`
7×	`prod-exp` `associate-*r/` `cbrt-unprod`
6×	`associate-/r*`
5×	`sinh-def`
4×	`associate-l` `pow-prod-down` `insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `unswap-sqr` `associate-/l/`
2×	`frac-times` `associate-l/` `-commutative` `div-inv`
1×	`clear-num` `frac-2neg` `associate-/l*`

Counts

4 → 102

Calls

4 calls:

4.0ms	(sinh y)
39.0ms	(* (sin x) (sqrt (/ (sinh y) y)))
77.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (sinh y)))
85.0ms	(/ (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (sinh y))) (sqrt y))

series1.8s

Counts

4 → 12

Calls

4 calls:

125.0ms	(sinh y)
467.0ms	(* (sin x) (sqrt (/ (sinh y) y)))
575.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (sinh y)))
595.0ms	(/ (* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (sinh y))) (sqrt y))

simplify5.3s

Counts

114 → 114

Iterations

Iter	Nodes
done	5001
1	1302
0	442

prune1.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes731.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.3s	3095×	body	1280	valid
1.0s	8610×	body	80	valid
980.0ms	2452×	body	640	valid
374.0ms	1252×	body	320	valid
158.0ms	589×	body	160	valid