Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

354×

body

valid

simplify10.0ms

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

prune7.0ms

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)

rewrite3.0ms

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:

2.0ms

(fma (* y z) z x)

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(fma (* y z) z x)

simplify2.8s

Counts

13 → 13

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	19	104
1	31	102
2	67	90
3	156	90
4	479	90
5	1589	90
6	4932	90
done	5000	90

prune41.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

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))

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:

5.0ms	(* (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))

series645.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(* (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))
164.0ms	(cbrt (fma (* y z) z x))

simplify981.0ms

Counts

93 → 93

Iterations

Useful iterations: done (979.0ms)

Iter	Nodes	Cost
0	99	1437
1	217	1321
2	559	1215
3	1737	1068
done	5001	1067

prune266.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

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

rewrite3.0ms

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:

0.0ms	(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))

series645.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(cbrt (fma (* y z) z x))
161.0ms	(cbrt (fma (* y z) z x))
163.0ms	(cbrt (fma (* y z) z x))
160.0ms	(cbrt (fma (* y z) z x))

simplify1.6s

Counts

64 → 64

Iterations

Useful iterations: 4 (549.0ms)

Iter	Nodes	Cost
0	51	780
1	111	752
2	246	692
3	722	672
4	2364	632
done	5000	632

prune230.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

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 (fma (* y z) z x))
0.8b	(pow (cbrt (cbrt (fma (* y z) z x))) 4)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
11×	`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 → 65

Calls

4 calls:

0.0ms	(cbrt (fma (* y z) z x))
0.0ms	(cbrt (fma (* y z) z x))
0.0ms	(cbrt (fma (* y z) z x))
3.0ms	(pow (cbrt (cbrt (fma (* y z) z x))) 4)

series738.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(cbrt (fma (* y z) z x))
169.0ms	(cbrt (fma (* y z) z x))
167.0ms	(cbrt (fma (* y z) z x))
237.0ms	(pow (cbrt (cbrt (fma (* y z) z x))) 4)

simplify934.0ms

Counts

77 → 77

Iterations

Useful iterations: 3 (281.0ms)

Iter	Nodes	Cost
0	109	1059
1	247	974
2	551	910
3	1701	892
done	5001	892

prune284.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes106.0ms

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

sample424.0ms

Algorithm

intervals

Results

216.0ms

10612×

body

valid