Details

sample16.0ms

Algorithm

intervals

Results

6.0ms	309×	body	80	valid
0.0ms	4×	body	640	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid

simplify28.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	19	8
2	29	8
3	43	8
4	52	8
5	53	8
done	53	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

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))

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

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

simplify934.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	22	146
1	35	140
2	67	121
3	240	121
4	1213	121
done	5001	121

prune30.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

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)))

rewrite11.0ms

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:

8.0ms	(* (cbrt (fma x (+ y z) (* z 5.0))) (cbrt (fma x (+ y z) (* z 5.0))))
0.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
0.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
1.0ms	(cbrt (fma x (+ y z) (* z 5.0)))

series636.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(* (cbrt (fma x (+ y z) (* z 5.0))) (cbrt (fma x (+ y z) (* z 5.0))))
142.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
146.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
145.0ms	(cbrt (fma x (+ y z) (* z 5.0)))

simplify846.0ms

Counts

93 → 93

Iterations

Useful iterations: done (844.0ms)

Iter	Nodes	Cost
0	108	1792
1	245	1664
2	600	1503
3	1796	1268
done	5001	1261

prune264.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

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)))

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 x (+ y z) (* z 5.0)))
0.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
0.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
1.0ms	(cbrt (fma x (+ y z) (* z 5.0)))

series609.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
147.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
155.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
152.0ms	(cbrt (fma x (+ y z) (* z 5.0)))

simplify1.3s

Counts

64 → 64

Iterations

Useful iterations: 4 (477.0ms)

Iter	Nodes	Cost
0	54	964
1	118	948
2	249	848
3	699	788
4	2365	756
done	5000	756

prune233.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

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)))

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 x (+ y z) (* z 5.0)))
0.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
0.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
1.0ms	(cbrt (fma x (+ y z) (* z 5.0)))

series611.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
150.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
155.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
152.0ms	(cbrt (fma x (+ y z) (* z 5.0)))

simplify1.3s

Counts

64 → 64

Iterations

Useful iterations: 4 (471.0ms)

Iter	Nodes	Cost
0	54	964
1	118	948
2	249	848
3	699	788
4	2365	756
done	5000	756

prune265.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes77.0ms

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

sample446.0ms

Algorithm

intervals

Results

219.0ms	9756×	body	80	valid
12.0ms	128×	body	1280	valid
9.0ms	125×	body	640	valid
5.0ms	80×	body	320	valid
1.0ms	29×	body	160	valid