Details

sample277.0ms

Algorithm: halfpoints

simplify6.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
8	3146
7	1368
6	485
5	198
4	122
3	79
2	48
1	30
0	16

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (exp x) (cos y) (/ (cos y) (exp x)))
0.0b	(/ (cos y) (exp x))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube`
3×	`associate-/r` `add-exp-log` `associate-/l`
2×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `fma-udef` `div-inv`

Counts

2 → 41

Calls

2 calls:

3.0ms	(fma (exp x) (cos y) (/ (cos y) (exp x)))
29.0ms	(/ (cos y) (exp x))

series546.0ms

Counts

2 → 6

Calls

2 calls:

456.0ms	(fma (exp x) (cos y) (/ (cos y) (exp x)))
90.0ms	(/ (cos y) (exp x))

simplify3.4s

Counts

47 → 47

Iterations

Iter	Nodes
done	5001
3	1140
2	372
1	139
0	75

prune614.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize181.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (cos y) (exp x))
0.2b	(* (* (fma (exp x) (cos y) (/ (cos y) (exp x))) (fma (exp x) (cos y) (/ (cos y) (exp x)))) (fma (exp x) (cos y) (/ (cos y) (exp x))))
0.3b	(* (fma (exp x) (cos y) (/ (cos y) (exp x))) (fma (exp x) (cos y) (/ (cos y) (exp x))))
0.3b	(cbrt (* (* (fma (exp x) (cos y) (/ (cos y) (exp x))) (fma (exp x) (cos y) (/ (cos y) (exp x)))) (fma (exp x) (cos y) (/ (cos y) (exp x)))))

rewrite209.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1`
20×	`add-sqr-sqrt`
17×	`*-un-lft-identity` `add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`add-exp-log`
9×	`times-frac`
7×	`pow-plus` `pow-prod-up`
6×	`associate-r`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow2` `associate-/r` `swap-sqr` `pow-sqr` `associate-/l`
2×	`distribute-rgt-in` `distribute-lft-in` `pow3` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `cbrt-undiv` `clear-num` `frac-2neg` `pow1/3` `div-exp` `rem-cbrt-cube` `div-inv`

Counts

4 → 106

Calls

4 calls:

53.0ms	(/ (cos y) (exp x))
82.0ms	(* (* (fma (exp x) (cos y) (/ (cos y) (exp x))) (fma (exp x) (cos y) (/ (cos y) (exp x)))) (fma (exp x) (cos y) (/ (cos y) (exp x))))
15.0ms	(* (fma (exp x) (cos y) (/ (cos y) (exp x))) (fma (exp x) (cos y) (/ (cos y) (exp x))))
47.0ms	(cbrt (* (* (fma (exp x) (cos y) (/ (cos y) (exp x))) (fma (exp x) (cos y) (/ (cos y) (exp x)))) (fma (exp x) (cos y) (/ (cos y) (exp x)))))

series800.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(/ (cos y) (exp x))
308.0ms	(* (* (fma (exp x) (cos y) (/ (cos y) (exp x))) (fma (exp x) (cos y) (/ (cos y) (exp x)))) (fma (exp x) (cos y) (/ (cos y) (exp x))))
239.0ms	(* (fma (exp x) (cos y) (/ (cos y) (exp x))) (fma (exp x) (cos y) (/ (cos y) (exp x))))
183.0ms	(cbrt (* (* (fma (exp x) (cos y) (/ (cos y) (exp x))) (fma (exp x) (cos y) (/ (cos y) (exp x)))) (fma (exp x) (cos y) (/ (cos y) (exp x)))))

simplify5.6s

Counts

118 → 118

Iterations

Iter	Nodes
done	5002
3	2807
2	910
1	307
0	142

prune1.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize115.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (exp x) (cos y) (/ (cos y) (exp x)))
0.0b	(/ (cos y) (exp x))
0.2b	(log1p (expm1 (fma (exp x) (cos y) (/ (cos y) (exp x)))))
0.2b	(expm1 (fma (exp x) (cos y) (/ (cos y) (exp x))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
6×	`add-cbrt-cube`
5×	`add-exp-log` `log1p-expm1-u`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `add-log-exp`
3×	`associate-/r` `associate-/l`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `clear-num` `frac-2neg` `div-exp` `log1p-expm1` `fma-udef` `div-inv` `expm1-udef`

Counts

4 → 65

Calls

4 calls:

1.0ms	(fma (exp x) (cos y) (/ (cos y) (exp x)))
32.0ms	(/ (cos y) (exp x))
2.0ms	(log1p (expm1 (fma (exp x) (cos y) (/ (cos y) (exp x)))))
2.0ms	(expm1 (fma (exp x) (cos y) (/ (cos y) (exp x))))

series745.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(fma (exp x) (cos y) (/ (cos y) (exp x)))
66.0ms	(/ (cos y) (exp x))
291.0ms	(log1p (expm1 (fma (exp x) (cos y) (/ (cos y) (exp x)))))
227.0ms	(expm1 (fma (exp x) (cos y) (/ (cos y) (exp x))))

simplify3.5s

Counts

77 → 77

Iterations

Iter	Nodes
done	5001
3	1397
2	472
1	193
0	104

prune957.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes277.0ms

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	8
0	8

end0.0ms

sample7.9s

Algorithm: halfpoints