Details

sample49.0ms

Algorithm

intervals

Results

18.0ms

473×

body

valid

simplify12.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	27	6
1	62	4
2	121	4
3	158	4
4	164	4
5	164	4
done	164	4

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma i c (fma b a (fma x y (* z t))))
0.0b	(fma b a (fma x y (* z t)))
0.0b	(fma x y (* z t))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

3×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

3 → 30

Calls

3 calls:

0.0ms	(fma i c (fma b a (fma x y (* z t))))
0.0ms	(fma b a (fma x y (* z t)))
0.0ms	(fma x y (* z t))

series381.0ms

Counts

3 → 9

Calls

3 calls:

273.0ms	(fma i c (fma b a (fma x y (* z t))))
67.0ms	(fma b a (fma x y (* z t)))
40.0ms	(fma x y (* z t))

simplify92.0ms

Counts

39 → 39

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	64	163
1	149	142
2	636	142
3	4252	142
4	5001	142
done	5001	142

prune143.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (fma b a (fma x y (* z t)))) (cbrt (fma b a (fma x y (* z t)))))
0.7b	(cbrt (fma b a (fma x y (* z t))))
0.7b	(cbrt (fma b a (fma x y (* z t))))
0.7b	(cbrt (fma b a (fma x y (* z t))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

10.0ms	(* (cbrt (fma b a (fma x y (* z t)))) (cbrt (fma b a (fma x y (* z t)))))
1.0ms	(cbrt (fma b a (fma x y (* z t))))
1.0ms	(cbrt (fma b a (fma x y (* z t))))
1.0ms	(cbrt (fma b a (fma x y (* z t))))

series601.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(* (cbrt (fma b a (fma x y (* z t)))) (cbrt (fma b a (fma x y (* z t)))))
129.0ms	(cbrt (fma b a (fma x y (* z t))))
129.0ms	(cbrt (fma b a (fma x y (* z t))))
135.0ms	(cbrt (fma b a (fma x y (* z t))))

simplify80.0ms

Counts

93 → 93

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	236	812
1	800	745
2	3224	654
3	5002	642
done	5002	642

prune345.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (fma b a (fma x y (* z t))))
0.7b	(cbrt (fma b a (fma x y (* z t))))
0.7b	(cbrt (fma b a (fma x y (* z t))))
0.7b	(cbrt (fma b a (fma x y (* z t))))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt (fma b a (fma x y (* z t))))
1.0ms	(cbrt (fma b a (fma x y (* z t))))
1.0ms	(cbrt (fma b a (fma x y (* z t))))
1.0ms	(cbrt (fma b a (fma x y (* z t))))

series527.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(cbrt (fma b a (fma x y (* z t))))
134.0ms	(cbrt (fma b a (fma x y (* z t))))
130.0ms	(cbrt (fma b a (fma x y (* z t))))
131.0ms	(cbrt (fma b a (fma x y (* z t))))

simplify93.0ms

Counts

64 → 64

Iterations

Useful iterations: 4 (29.0ms)

Iter	Nodes	Cost
0	93	436
1	181	400
2	427	368
3	993	364
4	2997	352
5	5001	352
done	5001	352

prune302.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(sqrt (fma b a (fma x y (* z t))))
0.3b	(sqrt (fma b a (fma x y (* z t))))
0.3b	(sqrt (fma b a (fma x y (* z t))))
0.7b	(cbrt (fma b a (fma x y (* z t))))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`sqrt-prod`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`pow1/3`

Counts

4 → 58

Calls

4 calls:

1.0ms	(sqrt (fma b a (fma x y (* z t))))
1.0ms	(sqrt (fma b a (fma x y (* z t))))
1.0ms	(sqrt (fma b a (fma x y (* z t))))
1.0ms	(cbrt (fma b a (fma x y (* z t))))

series1.4s

Counts

4 → 12

Calls

4 calls:

408.0ms	(sqrt (fma b a (fma x y (* z t))))
423.0ms	(sqrt (fma b a (fma x y (* z t))))
404.0ms	(sqrt (fma b a (fma x y (* z t))))
130.0ms	(cbrt (fma b a (fma x y (* z t))))

simplify102.0ms

Counts

70 → 70

Iterations

Useful iterations: 3 (96.0ms)

Iter	Nodes	Cost
0	194	484
1	633	448
2	3544	434
3	5003	424
done	5003	424

prune329.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes321.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	4
1	13	4
done	13	4

end0.0ms

sample1.3s

Algorithm

intervals

Results

503.0ms

13654×

body

valid