Details

sample105.0ms

Algorithm

intervals

Results

51.0ms	85×	body	1280	valid
18.0ms	73×	body	640	valid
16.0ms	289×	body	80	valid
6.0ms	34×	body	320	valid
2.0ms	16×	body	160	valid

simplify2.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	1888
6	631
5	245
4	128
3	65
2	30
1	15
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

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` `insert-posit16` `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 → 77

Calls

3 calls:

18.0ms	(* (sin x) (/ (sinh y) y))
1.0ms	(sinh y)
7.0ms	(/ (sinh y) y)

series327.0ms

Counts

3 → 9

Calls

3 calls:

128.0ms	(* (sin x) (/ (sinh y) y))
90.0ms	(sinh y)
108.0ms	(/ (sinh y) y)

simplify2.4s

Counts

86 → 86

Iterations

Iter	Nodes
done	5007
3	3788
2	1133
1	363
0	149

prune399.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

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))))

rewrite112.0ms

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×	`expm1-log1p-u` `sqrt-div` `insert-posit16` `log1p-expm1-u` `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 → 113

Calls

4 calls:

15.0ms	(/ (sinh y) y)
5.0ms	(sqrt (sin x))
5.0ms	(sqrt (sin x))
82.0ms	(* (* (sqrt (sin x)) (sqrt (/ (sinh y) y))) (* (sqrt (sin x)) (sqrt (/ (sinh y) y))))

series423.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(/ (sinh y) y)
19.0ms	(sqrt (sin x))
19.0ms	(sqrt (sin x))
216.0ms	(* (* (sqrt (sin x)) (sqrt (/ (sinh y) y))) (* (sqrt (sin x)) (sqrt (/ (sinh y) y))))

simplify2.6s

Counts

125 → 125

Iterations

Iter	Nodes
done	5009
2	2378
1	642
0	235

prune647.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
26×	`*-un-lft-identity` `add-cube-cbrt`
25×	`times-frac`
23×	`sqrt-prod`
17×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/r*`
7×	`pow1`
6×	`sqrt-div` `associate-l`
4×	`expm1-log1p-u` `cbrt-undiv` `sinh-def` `div-exp` `associate-l/` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `associate-/l` `add-log-exp` `associate-/l/`
3×	`associate-r` `div-inv`
2×	`rem-sqrt-square` `clear-num` `frac-2neg` `unswap-sqr`
1×	`frac-times` `sqrt-pow1` `pow1/2` `pow-prod-down` `associate-r/` `-commutative`

Counts

4 → 120

Calls

4 calls:

4.0ms	(sqrt (/ (sinh y) y))
7.0ms	(/ (sinh y) y)
18.0ms	(* (sqrt (sinh y)) (sin x))
61.0ms	(/ (* (* (sqrt (sinh y)) (sin x)) (sqrt (/ (sinh y) y))) (sqrt y))

series943.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(sqrt (/ (sinh y) y))
151.0ms	(/ (sinh y) y)
153.0ms	(* (sqrt (sinh y)) (sin x))
543.0ms	(/ (* (* (sqrt (sinh y)) (sin x)) (sqrt (/ (sinh y) y))) (sqrt y))

simplify4.4s

Counts

132 → 132

Iterations

Iter	Nodes
done	5000
2	4733
1	1142
0	409

prune894.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes232.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.1s	3095×	body	1280	valid
1.7s	8610×	body	80	valid
957.0ms	2452×	body	640	valid
347.0ms	1252×	body	320	valid
94.0ms	589×	body	160	valid