Details

sample50.0ms

Algorithm

intervals

Results

18.0ms	327×	body	80	valid
2.0ms	7×	body	1280	valid
1.0ms	4×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify73.0ms

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

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

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))

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

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

simplify997.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (22.0ms)

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

prune85.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize31.0ms

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)))

rewrite45.0ms

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:

36.0ms	(* (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)))
2.0ms	(cbrt (fma x (+ y z) (* z 5.0)))

series1.2s

Counts

4 → 12

Calls

4 calls:

383.0ms	(* (cbrt (fma x (+ y z) (* z 5.0))) (cbrt (fma x (+ y z) (* z 5.0))))
279.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
244.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
256.0ms	(cbrt (fma x (+ y z) (* z 5.0)))

simplify1.4s

Counts

93 → 93

Iterations

Useful iterations: done (1.4s)

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

prune736.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma x (+ y z) (* z 5.0)))
0.7b	(cbrt (cbrt (fma x (+ y z) (* z 5.0))))
0.7b	(cbrt (cbrt (fma x (+ y z) (* z 5.0))))
0.7b	(cbrt (cbrt (fma x (+ y z) (* z 5.0))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`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 → 61

Calls

4 calls:

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

series1.1s

Counts

4 → 12

Calls

4 calls:

271.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
272.0ms	(cbrt (cbrt (fma x (+ y z) (* z 5.0))))
294.0ms	(cbrt (cbrt (fma x (+ y z) (* z 5.0))))
288.0ms	(cbrt (cbrt (fma x (+ y z) (* z 5.0))))

simplify1.5s

Counts

73 → 73

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	83	1219
1	187	1200
2	442	1109
3	1471	1049
done	5000	985

prune641.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma x (+ y z) (* z 5.0)))
0.7b	(cbrt (cbrt (fma x (+ y z) (* z 5.0))))
0.7b	(cbrt (cbrt (fma x (+ y z) (* z 5.0))))
0.7b	(cbrt (cbrt (fma x (+ y z) (* z 5.0))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`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 → 61

Calls

4 calls:

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

series1.1s

Counts

4 → 12

Calls

4 calls:

260.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
266.0ms	(cbrt (cbrt (fma x (+ y z) (* z 5.0))))
283.0ms	(cbrt (cbrt (fma x (+ y z) (* z 5.0))))
289.0ms	(cbrt (cbrt (fma x (+ y z) (* z 5.0))))

simplify1.3s

Counts

73 → 73

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	83	1219
1	187	1200
2	442	1109
3	1471	1049
done	5000	985

prune614.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes385.0ms

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

sample1.7s

Algorithm

intervals

Results

1.0s	9752×	body	80	valid
24.0ms	107×	body	1280	valid
21.0ms	120×	body	640	valid
12.0ms	76×	body	320	valid
3.0ms	35×	body	160	valid