Details

sample20.0ms

Algorithm

intervals

Results

6.0ms	328×	body	80	valid
0.0ms	5×	body	1280	valid
0.0ms	3×	body	640	valid

simplify38.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	19	8
2	34	8
3	50	8
4	60	8
5	61	8
done	61	8

prune5.0ms

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))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

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

simplify937.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	22	146
1	36	140
2	69	121
3	265	121
4	1668	121
done	5000	121

prune34.0ms

Pruning

3 alts after pruning (2 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))))
0.5b	(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)))

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:

11.0ms	(* (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)))

series798.0ms

Counts

4 → 12

Calls

4 calls:

256.0ms	(* (cbrt (fma x (+ y z) (* z 5.0))) (cbrt (fma x (+ y z) (* z 5.0))))
184.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
174.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
183.0ms	(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	245	1664
2	621	1503
3	1695	1268
done	5000	1229

prune255.0ms

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

81×	`cbrt-prod`
40×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3` `swap-sqr` `associate-r` `associate-l` `unswap-sqr`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt (cbrt (fma x (+ y z) (* z 5.0))))
1.0ms	(cbrt (cbrt (fma x (+ y z) (* z 5.0))))
4.0ms	(cbrt (cbrt (fma x (+ y z) (* z 5.0))))
17.0ms	(* (cbrt (cbrt (fma x (+ y z) (* z 5.0)))) (cbrt (cbrt (fma x (+ y z) (* z 5.0)))))

series792.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt (cbrt (fma x (+ y z) (* z 5.0))))
179.0ms	(cbrt (cbrt (fma x (+ y z) (* z 5.0))))
180.0ms	(cbrt (cbrt (fma x (+ y z) (* z 5.0))))
253.0ms	(* (cbrt (cbrt (fma x (+ y z) (* z 5.0)))) (cbrt (cbrt (fma x (+ y z) (* z 5.0)))))

simplify2.5s

Counts

116 → 116

Iterations

Useful iterations: 4 (1.5s)

Iter	Nodes	Cost
0	127	2646
1	265	2497
2	649	2337
3	1655	2011
4	4661	1958
done	5000	1958

prune339.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (cbrt (fma x (+ y z) (* z 5.0)))) (cbrt (cbrt (fma x (+ y z) (* z 5.0)))))
0.6b	(cbrt (pow (cbrt (cbrt (fma x (+ y z) (* z 5.0)))) 6))
0.6b	(cbrt (cbrt (pow (cbrt (cbrt (fma x (+ y z) (* z 5.0)))) 6)))
1.2b	(pow (cbrt (cbrt (fma x (+ y z) (* z 5.0)))) 6)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

123×	`cbrt-prod`
47×	`add-sqr-sqrt`
29×	`add-cube-cbrt` `*-un-lft-identity`
27×	`unpow-prod-down`
12×	`pow1`
9×	`pow1/3` `swap-sqr` `associate-r` `associate-l` `unswap-sqr`
7×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `sqr-pow`
2×	`pow-pow` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-plus` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 131

Calls

4 calls:

17.0ms	(* (cbrt (cbrt (fma x (+ y z) (* z 5.0)))) (cbrt (cbrt (fma x (+ y z) (* z 5.0)))))
4.0ms	(cbrt (pow (cbrt (cbrt (fma x (+ y z) (* z 5.0)))) 6))
8.0ms	(cbrt (cbrt (pow (cbrt (cbrt (fma x (+ y z) (* z 5.0)))) 6)))
5.0ms	(pow (cbrt (cbrt (fma x (+ y z) (* z 5.0)))) 6)

series1.2s

Counts

4 → 12

Calls

4 calls:

257.0ms	(* (cbrt (cbrt (fma x (+ y z) (* z 5.0)))) (cbrt (cbrt (fma x (+ y z) (* z 5.0)))))
253.0ms	(cbrt (pow (cbrt (cbrt (fma x (+ y z) (* z 5.0)))) 6))
260.0ms	(cbrt (cbrt (pow (cbrt (cbrt (fma x (+ y z) (* z 5.0)))) 6)))
431.0ms	(pow (cbrt (cbrt (fma x (+ y z) (* z 5.0)))) 6)

simplify1.9s

Counts

143 → 143

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	223	3602
1	468	3370
2	1125	2808
3	3556	2483
done	5000	2451

prune475.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes95.0ms

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

sample514.0ms

Algorithm

intervals

Results

206.0ms	9803×	body	80	valid
11.0ms	121×	body	1280	valid
8.0ms	118×	body	640	valid
3.0ms	64×	body	320	valid
2.0ms	43×	body	160	valid