Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

323×

body

valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (3.0ms)

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

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:

5.0ms

(fma (* y z) z x)

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(fma (* y z) z x)

simplify3.7s

Counts

13 → 13

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	19	104
1	32	102
2	75	90
3	205	90
4	777	90
5	4474	90
done	5000	90

prune34.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

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:

6.0ms	(* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x)))
0.0ms	(cbrt (fma (* y z) z x))
0.0ms	(cbrt (fma (* y z) z x))
1.0ms	(cbrt (fma (* y z) z x))

series658.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x)))
163.0ms	(cbrt (fma (* y z) z x))
164.0ms	(cbrt (fma (* y z) z x))
171.0ms	(cbrt (fma (* y z) z x))

simplify2.2s

Counts

93 → 93

Iterations

Useful iterations: 3 (425.0ms)

Iter	Nodes	Cost
0	99	1437
1	220	1325
2	785	1215
3	3546	1068
done	5000	1068

prune229.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
14×	`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 → 74

Calls

4 calls:

1.0ms	(cbrt (cbrt (fma (* y z) z x)))
1.0ms	(cbrt (cbrt (fma (* y z) z x)))
1.0ms	(cbrt (cbrt (fma (* y z) z x)))
3.0ms	(pow (cbrt (cbrt (fma (* y z) z x))) 4)

series721.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(cbrt (cbrt (fma (* y z) z x)))
163.0ms	(cbrt (cbrt (fma (* y z) z x)))
166.0ms	(cbrt (cbrt (fma (* y z) z x)))
231.0ms	(pow (cbrt (cbrt (fma (* y z) z x))) 4)

simplify1.8s

Counts

86 → 86

Iterations

Useful iterations: 3 (410.0ms)

Iter	Nodes	Cost
0	104	1278
1	227	1229
2	688	1099
3	3027	1072
done	5001	1072

prune279.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (pow z 2) y) x)
8.1b	(* (pow z 2) y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-l`
7×	`add-exp-log`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-r` `prod-exp`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `fma-def` `flip3-+` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 43

Calls

2 calls:

3.0ms	(+ (* (pow z 2) y) x)
6.0ms	(* (pow z 2) y)

series50.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ (* (pow z 2) y) x)
18.0ms	(* (pow z 2) y)

simplify2.2s

Counts

49 → 49

Iterations

Useful iterations: 3 (295.0ms)

Iter	Nodes	Cost
0	73	417
1	176	366
2	571	326
3	2758	325
done	5001	325

prune101.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes76.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b 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

sample427.0ms

Algorithm

intervals

Results

211.0ms

10657×

body

valid