Details

sample37.0ms

Algorithm

intervals

Results

14.0ms	334×	body	80	valid
1.0ms	5×	body	1280	valid
1.0ms	4×	body	640	valid
0.0ms	1×	body	320	valid

simplify49.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	8	9
1	19	8
2	34	8
3	56	8
4	71	8
5	72	8
done	72	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x (+ y z) (* z 5.0))

rewrite1.0ms

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:

1.0ms

(fma x (+ y z) (* z 5.0))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(fma x (+ y z) (* z 5.0))

simplify768.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	22	146
1	36	140
2	81	121
3	498	121
done	5000	121

prune43.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma x (+ y z) (* z 5.0))) (cbrt (fma x (+ y z) (* z 5.0))))
0.6b	(cbrt (fma x (+ y z) (* z 5.0)))
0.6b	(cbrt (fma x (+ y z) (* z 5.0)))
0.6b	(cbrt (fma x (+ y z) (* z 5.0)))

rewrite16.0ms

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 x (+ y z) (* z 5.0))) (cbrt (fma x (+ y z) (* z 5.0))))
1.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
1.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
1.0ms	(cbrt (fma x (+ y z) (* z 5.0)))

series1.1s

Counts

4 → 12

Calls

4 calls:

342.0ms	(* (cbrt (fma x (+ y z) (* z 5.0))) (cbrt (fma x (+ y z) (* z 5.0))))
252.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
269.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
224.0ms	(cbrt (fma x (+ y z) (* z 5.0)))

simplify996.0ms

Counts

93 → 93

Iterations

Useful iterations: done (993.0ms)

Iter	Nodes	Cost
0	108	1792
1	265	1664
2	926	1503
done	5000	1325

prune366.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma x (+ y z) (* z 5.0)))
0.6b	(cbrt (fma x (+ y z) (* z 5.0)))
0.6b	(cbrt (fma x (+ y z) (* z 5.0)))
0.8b	(pow (cbrt (cbrt (fma x (+ y z) (* z 5.0)))) (+ 3 1))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

1.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
1.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
1.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
16.0ms	(pow (cbrt (cbrt (fma x (+ y z) (* z 5.0)))) (+ 3 1))

series1.1s

Counts

4 → 12

Calls

4 calls:

189.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
248.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
239.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
395.0ms	(pow (cbrt (cbrt (fma x (+ y z) (* z 5.0)))) (+ 3 1))

simplify626.0ms

Counts

79 → 79

Iterations

Useful iterations: done (623.0ms)

Iter	Nodes	Cost
0	129	1418
1	370	1284
2	1100	1121
done	5000	1049

prune498.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma x (+ y z) (* z 5.0)))
0.6b	(cbrt (fma x (+ y z) (* z 5.0)))
0.6b	(cbrt (fma x (+ y z) (* z 5.0)))
0.8b	(pow (cbrt (cbrt (fma x (+ y z) (* z 5.0)))) (+ 3 1))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

1.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
1.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
1.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
15.0ms	(pow (cbrt (cbrt (fma x (+ y z) (* z 5.0)))) (+ 3 1))

series966.0ms

Counts

4 → 12

Calls

4 calls:

260.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
181.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
200.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
325.0ms	(pow (cbrt (cbrt (fma x (+ y z) (* z 5.0)))) (+ 3 1))

simplify712.0ms

Counts

79 → 79

Iterations

Useful iterations: done (707.0ms)

Iter	Nodes	Cost
0	129	1418
1	370	1284
2	1100	1121
done	5000	1049

prune509.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes138.0ms

Accuracy

0% (0.0b 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	7	8
1	9	8
done	9	8

end0.0ms

sample931.0ms

Algorithm

intervals

Results

495.0ms	9843×	body	80	valid
18.0ms	114×	body	1280	valid
15.0ms	113×	body	640	valid
6.0ms	67×	body	320	valid
2.0ms	41×	body	160	valid