Details

sample29.0ms

Algorithm

intervals

Results

11.0ms	309×	body	80	valid
1.0ms	5×	body	640	valid
0.0ms	4×	body	320	valid
0.0ms	1×	body	1280	valid

simplify48.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

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:

0.0ms

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

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

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

simplify840.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (21.0ms)

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

prune71.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

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)))

rewrite19.0ms

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:

14.0ms	(* (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)))

series921.0ms

Counts

4 → 12

Calls

4 calls:

262.0ms	(* (cbrt (fma x (+ y z) (* z 5.0))) (cbrt (fma x (+ y z) (* z 5.0))))
230.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
221.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
207.0ms	(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

prune389.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

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

rewrite5.0ms

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:

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

series855.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
255.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
203.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
188.0ms	(cbrt (fma x (+ y z) (* z 5.0)))

simplify2.9s

Counts

64 → 64

Iterations

Useful iterations: 4 (1.1s)

Iter	Nodes	Cost
0	54	964
1	118	948
2	276	848
3	911	788
4	4589	756
done	5000	756

prune484.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize61.0ms

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

rewrite9.0ms

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:

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

series1.1s

Counts

4 → 12

Calls

4 calls:

249.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
285.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
252.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
284.0ms	(cbrt (fma x (+ y z) (* z 5.0)))

simplify3.0s

Counts

64 → 64

Iterations

Useful iterations: 4 (1.2s)

Iter	Nodes	Cost
0	54	964
1	118	948
2	276	848
3	911	788
4	4589	756
done	5000	756

prune553.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes290.0ms

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

sample939.0ms

Algorithm

intervals

Results

493.0ms	9692×	body	80	valid
21.0ms	125×	body	1280	valid
16.0ms	118×	body	640	valid
6.0ms	62×	body	320	valid
2.0ms	26×	body	160	valid