Details

sample72.0ms

Algorithm

intervals

Results

28.0ms

463×

body

valid

simplify235.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (18.0ms)

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite1.0ms

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

series375.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(fma x y (* z t))
320.0ms	(fma c i (fma a b (fma x y (* z t))))

simplify2.2s

Counts

26 → 26

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	38	284
1	54	278
2	110	242
3	414	242
4	2741	242
done	5000	242

prune110.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

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:

2.0ms	(cbrt (fma c i (fma a b (fma x y (* z t)))))
2.0ms	(cbrt (fma c i (fma a b (fma x y (* z t)))))
2.0ms	(cbrt (fma c i (fma a b (fma x y (* z t)))))
23.0ms	(* (cbrt (fma c i (fma a b (fma x y (* z t))))) (cbrt (fma c i (fma a b (fma x y (* z t))))))

series875.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt (fma c i (fma a b (fma x y (* z t)))))
180.0ms	(cbrt (fma c i (fma a b (fma x y (* z t)))))
204.0ms	(cbrt (fma c i (fma a b (fma x y (* z t)))))
313.0ms	(* (cbrt (fma c i (fma a b (fma x y (* z t))))) (cbrt (fma c i (fma a b (fma x y (* z t))))))

simplify3.3s

Counts

93 → 93

Iterations

Useful iterations: 4 (1.9s)

Iter	Nodes	Cost
0	95	2278
1	205	2123
2	501	1929
3	1251	1640
4	3945	1598
done	5000	1598

prune593.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma a b (* x y))
0.0b	(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:

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

series169.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(fma a b (* x y))
109.0ms	(fma t z (fma a b (* x y)))

simplify3.0s

Counts

26 → 26

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	32	248
1	42	242
2	111	212
3	557	212
4	3341	212
done	5000	212

prune135.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma c i (fma a b (fma x y (* z t)))))
0.5b	(cbrt (fma c i (fma a b (fma x y (* z t)))))
0.5b	(pow (sqrt (cbrt (fma c i (fma a b (fma x y (* z t)))))) 4)
0.5b	(cbrt (cbrt (fma c i (fma a b (fma x y (* z t))))))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
6×	`pow1` `sqrt-prod`
5×	`add-exp-log`
4×	`expm1-log1p-u` `pow-pow` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`sqrt-pow1`
1×	`pow-to-exp` `pow1/2` `pow-exp` `sqrt-pow2` `sqr-pow`

Counts

4 → 71

Calls

4 calls:

1.0ms	(cbrt (fma c i (fma a b (fma x y (* z t)))))
1.0ms	(cbrt (fma c i (fma a b (fma x y (* z t)))))
5.0ms	(pow (sqrt (cbrt (fma c i (fma a b (fma x y (* z t)))))) 4)
2.0ms	(cbrt (cbrt (fma c i (fma a b (fma x y (* z t))))))

series893.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(cbrt (fma c i (fma a b (fma x y (* z t)))))
204.0ms	(cbrt (fma c i (fma a b (fma x y (* z t)))))
310.0ms	(pow (sqrt (cbrt (fma c i (fma a b (fma x y (* z t)))))) 4)
184.0ms	(cbrt (cbrt (fma c i (fma a b (fma x y (* z t))))))

simplify4.0s

Counts

83 → 83

Iterations

Useful iterations: 4 (1.8s)

Iter	Nodes	Cost
0	128	1659
1	285	1582
2	568	1392
3	1343	1316
4	4661	1286
done	5000	1286

prune536.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes493.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	12
1	13	12
done	13	12

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.5s

13509×

body

valid