Details

sample69.0ms

Algorithm

intervals

Results

27.0ms

433×

body

valid

simplify131.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	15	15
1	27	14
2	62	12
3	116	12
4	142	12
5	144	12
done	144	12

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite2.0ms

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 a b (fma x y (* z t)))
0.0ms	(fma x y (* z t))
1.0ms	(fma c i (fma a b (fma x y (* z t))))

series474.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(fma a b (fma x y (* z t)))
60.0ms	(fma x y (* z t))
311.0ms	(fma c i (fma a b (fma x y (* z t))))

simplify2.3s

Counts

39 → 39

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	47	430
1	64	420
2	133	366
3	583	366
4	4129	366
done	5000	366

prune193.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 20

Calls

2 calls:

0.0ms	(fma t z (fma a b (* x y)))
1.0ms	(fma c i (fma t z (fma a b (* x y))))

series398.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(fma t z (fma a b (* x y)))
322.0ms	(fma c i (fma t z (fma a b (* x y))))

simplify647.0ms

Counts

26 → 26

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	36	328
1	47	320
2	119	278
3	694	278
done	5000	278

prune102.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma a b (fma x y (* z t)))) (cbrt (fma a b (fma x y (* z t)))))
0.5b	(cbrt (fma a b (fma x y (* z t))))
0.5b	(cbrt (fma a b (fma x y (* z t))))
0.5b	(cbrt (fma a b (fma x y (* z t))))

rewrite29.0ms

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:

23.0ms	(* (cbrt (fma a b (fma x y (* z t)))) (cbrt (fma a b (fma x y (* z t)))))
1.0ms	(cbrt (fma a b (fma x y (* z t))))
1.0ms	(cbrt (fma a b (fma x y (* z t))))
1.0ms	(cbrt (fma a b (fma x y (* z t))))

series830.0ms

Counts

4 → 12

Calls

4 calls:

268.0ms	(* (cbrt (fma a b (fma x y (* z t)))) (cbrt (fma a b (fma x y (* z t)))))
196.0ms	(cbrt (fma a b (fma x y (* z t))))
188.0ms	(cbrt (fma a b (fma x y (* z t))))
177.0ms	(cbrt (fma a b (fma x y (* z t))))

simplify3.8s

Counts

93 → 93

Iterations

Useful iterations: 4 (2.7s)

Iter	Nodes	Cost
0	104	1858
1	234	1726
2	593	1573
3	1538	1344
4	4325	1303
done	5000	1303

prune449.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (sqrt (fma a b (fma x y (* z t)))))
0.3b	(cbrt (sqrt (fma a b (fma x y (* z t)))))
0.3b	(cbrt (sqrt (fma a b (fma x y (* z t)))))
0.5b	(cbrt (fma a b (fma x y (* z t))))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

2.0ms	(cbrt (sqrt (fma a b (fma x y (* z t)))))
2.0ms	(cbrt (sqrt (fma a b (fma x y (* z t)))))
2.0ms	(cbrt (sqrt (fma a b (fma x y (* z t)))))
1.0ms	(cbrt (fma a b (fma x y (* z t))))

series772.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt (sqrt (fma a b (fma x y (* z t)))))
187.0ms	(cbrt (sqrt (fma a b (fma x y (* z t)))))
201.0ms	(cbrt (sqrt (fma a b (fma x y (* z t)))))
203.0ms	(cbrt (fma a b (fma x y (* z t))))

simplify2.7s

Counts

73 → 73

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	71	1197
1	146	1146
2	282	1056
3	623	1036
4	1264	1011
5	3625	987
done	5000	985

prune359.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes368.0ms

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	12	12
1	13	12
done	13	12

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.0s

13608×

body

valid