Details

sample81.0ms

Algorithm

intervals

Results

10.0ms

329×

body

valid

simplify18.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	6	7
1	11	7
2	15	6
3	16	6
done	16	6

prune47.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (* y z) z x)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

1×	`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

1 → 10

Calls

1 calls:

3.0ms

(fma (* y z) z x)

series83.0ms

Counts

1 → 3

Calls

1 calls:

83.0ms

(fma (* y z) z x)

simplify8.7s

Counts

13 → 13

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	19	104
1	31	102
2	93	90
3	429	90
4	3590	90
done	5000	90

prune71.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x)))
0.6b	(cbrt (fma (* y z) z x))
0.6b	(cbrt (fma (* y z) z x))
0.6b	(cbrt (fma (* y z) z x))

rewrite17.0ms

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:

12.0ms	(* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x)))
1.0ms	(cbrt (fma (* y z) z x))
1.0ms	(cbrt (fma (* y z) z x))
1.0ms	(cbrt (fma (* y z) z x))

series987.0ms

Counts

4 → 12

Calls

4 calls:

288.0ms	(* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x)))
214.0ms	(cbrt (fma (* y z) z x))
243.0ms	(cbrt (fma (* y z) z x))
242.0ms	(cbrt (fma (* y z) z x))

simplify5.8s

Counts

93 → 93

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	99	1437
1	240	1321
2	816	1215
3	4472	1068
done	5000	1068

prune460.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (* y z) z x))
0.6b	(cbrt (fma (* y z) z x))
0.6b	(cbrt (* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x))))
0.9b	(pow (cbrt (cbrt (fma z (* y z) x))) 4)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

2.0ms	(cbrt (fma (* y z) z x))
2.0ms	(cbrt (fma (* y z) z x))
10.0ms	(cbrt (* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x))))
9.0ms	(pow (cbrt (cbrt (fma z (* y z) x))) 4)

series888.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(cbrt (fma (* y z) z x))
223.0ms	(cbrt (fma (* y z) z x))
265.0ms	(cbrt (* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x))))
177.0ms	(pow (cbrt (cbrt (fma z (* y z) x))) 4)

simplify3.1s

Counts

75 → 75

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	139	1119
1	352	1066
2	1035	977
3	4307	925
done	5000	925

prune591.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (* y z) z x))
0.6b	(cbrt (* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x))))
0.6b	(cbrt (* (cbrt (fma z (* y z) x)) (cbrt (fma z (* y z) x))))
0.9b	(pow (cbrt (cbrt (fma z (* y z) x))) 4)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

1.0ms	(cbrt (fma (* y z) z x))
10.0ms	(cbrt (* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x))))
16.0ms	(cbrt (* (cbrt (fma z (* y z) x)) (cbrt (fma z (* y z) x))))
5.0ms	(pow (cbrt (cbrt (fma z (* y z) x))) 4)

series880.0ms

Counts

4 → 12

Calls

4 calls:

263.0ms	(cbrt (fma (* y z) z x))
265.0ms	(cbrt (* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x))))
140.0ms	(cbrt (* (cbrt (fma z (* y z) x)) (cbrt (fma z (* y z) x))))
211.0ms	(pow (cbrt (cbrt (fma z (* y z) x))) 4)

simplify3.6s

Counts

73 → 73

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	147	1179
1	361	1129
2	1048	1005
3	4592	958
done	5000	958

prune595.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes219.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	6	6
done	6	6

end0.0ms

sample994.0ms

Algorithm

intervals

Results

486.0ms

10642×

body

valid