Details

sample18.0ms

Algorithm

intervals

Results

7.0ms	314×	body	80	valid
0.0ms	6×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	3×	body	320	valid

simplify22.0ms

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

prune7.0ms

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))

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

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

simplify626.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (8.0ms)

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

prune39.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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)))

rewrite10.0ms

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:

6.0ms	(* (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)))

series730.0ms

Counts

4 → 12

Calls

4 calls:

226.0ms	(* (cbrt (fma x (+ y z) (* z 5.0))) (cbrt (fma x (+ y z) (* z 5.0))))
170.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
163.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
172.0ms	(cbrt (fma x (+ y z) (* z 5.0)))

simplify1.5s

Counts

93 → 93

Iterations

Useful iterations: 3 (449.0ms)

Iter	Nodes	Cost
0	108	1792
1	245	1664
2	686	1503
3	2877	1268
done	5000	1268

prune266.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x (+ y z) (* z 5.0))
0.1b	(sqrt (fma x (+ y z) (* z 5.0)))
0.1b	(sqrt (fma x (+ y z) (* z 5.0)))
0.2b	(* (sqrt (fma x (+ y z) (* z 5.0))) (sqrt (fma x (+ y z) (* z 5.0))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

0.0ms	(fma x (+ y z) (* z 5.0))
1.0ms	(sqrt (fma x (+ y z) (* z 5.0)))
1.0ms	(sqrt (fma x (+ y z) (* z 5.0)))
10.0ms	(* (sqrt (fma x (+ y z) (* z 5.0))) (sqrt (fma x (+ y z) (* z 5.0))))

series303.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(fma x (+ y z) (* z 5.0))
121.0ms	(sqrt (fma x (+ y z) (* z 5.0)))
118.0ms	(sqrt (fma x (+ y z) (* z 5.0)))
29.0ms	(* (sqrt (fma x (+ y z) (* z 5.0))) (sqrt (fma x (+ y z) (* z 5.0))))

simplify2.0s

Counts

103 → 103

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	94	1850
1	189	1271
2	540	1139
3	2693	1100
done	5001	1094

prune227.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

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)))

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:

6.0ms	(* (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)))
1.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
1.0ms	(cbrt (fma x (+ y z) (* z 5.0)))

series726.0ms

Counts

4 → 12

Calls

4 calls:

229.0ms	(* (cbrt (fma x (+ y z) (* z 5.0))) (cbrt (fma x (+ y z) (* z 5.0))))
169.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
165.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
162.0ms	(cbrt (fma x (+ y z) (* z 5.0)))

simplify1.5s

Counts

93 → 93

Iterations

Useful iterations: 3 (445.0ms)

Iter	Nodes	Cost
0	108	1792
1	245	1664
2	686	1503
3	2877	1268
done	5000	1268

prune306.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes88.0ms

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

sample442.0ms

Algorithm

intervals

Results

217.0ms	9731×	body	80	valid
12.0ms	118×	body	1280	valid
9.0ms	110×	body	640	valid
4.0ms	64×	body	320	valid
2.0ms	44×	body	160	valid