Details

sample30.0ms

Algorithm

intervals

Results

11.0ms	309×	body	80	valid
1.0ms	6×	body	640	valid
0.0ms	4×	body	320	valid
0.0ms	2×	body	1280	valid

simplify71.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

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))

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

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

simplify686.0ms

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

prune37.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (fma x (+ y z) (* z 5.0))) (cbrt (fma x (+ y z) (* z 5.0))))
0.5b	(cbrt (fma x (+ y z) (* z 5.0)))
0.5b	(cbrt (fma x (+ y z) (* z 5.0)))
0.5b	(cbrt (fma x (+ y z) (* z 5.0)))

rewrite41.0ms

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:

25.0ms	(* (cbrt (fma x (+ y z) (* z 5.0))) (cbrt (fma x (+ y z) (* z 5.0))))
2.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
2.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
2.0ms	(cbrt (fma x (+ y z) (* z 5.0)))

series1.1s

Counts

4 → 12

Calls

4 calls:

346.0ms	(* (cbrt (fma x (+ y z) (* z 5.0))) (cbrt (fma x (+ y z) (* z 5.0))))
234.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
243.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
281.0ms	(cbrt (fma x (+ y z) (* z 5.0)))

simplify1.1s

Counts

93 → 93

Iterations

Useful iterations: done (1.1s)

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

prune354.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (sqrt (fma x (+ y z) (* z 5.0))))
0.2b	(cbrt (sqrt (fma x (+ y z) (* z 5.0))))
0.5b	(cbrt (fma x (+ y z) (* z 5.0)))
0.5b	(cbrt (fma x (+ y z) (* z 5.0)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-prod`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 58

Calls

4 calls:

3.0ms	(cbrt (sqrt (fma x (+ y z) (* z 5.0))))
3.0ms	(cbrt (sqrt (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)))

series915.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(cbrt (sqrt (fma x (+ y z) (* z 5.0))))
225.0ms	(cbrt (sqrt (fma x (+ y z) (* z 5.0))))
238.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
238.0ms	(cbrt (fma x (+ y z) (* z 5.0)))

simplify1.1s

Counts

70 → 70

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	87	1134
1	193	1094
2	447	1002
3	1462	942
done	5000	902

prune323.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (sqrt (sqrt (fma x (+ y z) (* z 5.0)))))
0.3b	(cbrt (sqrt (sqrt (fma x (+ y z) (* z 5.0)))))
0.5b	(cbrt (fma x (+ y z) (* z 5.0)))
0.5b	(cbrt (fma x (+ y z) (* z 5.0)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
18×	`sqrt-prod`
12×	`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 → 64

Calls

4 calls:

3.0ms	(cbrt (sqrt (sqrt (fma x (+ y z) (* z 5.0)))))
4.0ms	(cbrt (sqrt (sqrt (fma x (+ y z) (* z 5.0)))))
2.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
2.0ms	(cbrt (fma x (+ y z) (* z 5.0)))

series1.1s

Counts

4 → 12

Calls

4 calls:

302.0ms	(cbrt (sqrt (sqrt (fma x (+ y z) (* z 5.0)))))
317.0ms	(cbrt (sqrt (sqrt (fma x (+ y z) (* z 5.0)))))
232.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
255.0ms	(cbrt (fma x (+ y z) (* z 5.0)))

simplify989.0ms

Counts

76 → 76

Iterations

Useful iterations: done (986.0ms)

Iter	Nodes	Cost
0	98	1328
1	205	1260
2	464	1152
3	1517	1092
done	5000	1062

prune483.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes125.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	9	8
done	9	8

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.0s	9830×	body	80	valid
49.0ms	110×	body	1280	valid
20.0ms	116×	body	640	valid
7.0ms	61×	body	320	valid
3.0ms	45×	body	160	valid