Details

sample30.0ms

Algorithm

intervals

Results

11.0ms	318×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid

simplify39.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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: 0.0b

localize7.0ms

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))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

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

simplify1.3s

Counts

13 → 13

Iterations

Useful iterations: 2 (12.0ms)

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

prune41.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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)))

rewrite24.0ms

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:

19.0ms	(* (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)))

series934.0ms

Counts

4 → 12

Calls

4 calls:

322.0ms	(* (cbrt (fma x (+ y z) (* z 5.0))) (cbrt (fma x (+ y z) (* z 5.0))))
202.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
195.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
214.0ms	(cbrt (fma x (+ y z) (* z 5.0)))

simplify1.6s

Counts

93 → 93

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	108	1792
1	245	1664
2	621	1503
3	1695	1268
done	5000	1229

prune341.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

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)))
0.7b	(pow (cbrt (fma x (+ y z) (* z 5.0))) 6)
27.7b	(cbrt (pow (cbrt (fma x (+ y z) (* z 5.0))) 6))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow` `sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 69

Calls

4 calls:

1.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
1.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
4.0ms	(pow (cbrt (fma x (+ y z) (* z 5.0))) 6)
3.0ms	(cbrt (pow (cbrt (fma x (+ y z) (* z 5.0))) 6))

series1.4s

Counts

4 → 12

Calls

4 calls:

226.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
191.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
670.0ms	(pow (cbrt (fma x (+ y z) (* z 5.0))) 6)
363.0ms	(cbrt (pow (cbrt (fma x (+ y z) (* z 5.0))) 6))

simplify1.6s

Counts

81 → 81

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	137	1410
1	313	1349
2	737	1149
3	2335	1056
done	5000	1033

prune266.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma x (+ y z) (* z 5.0)))
0.7b	(pow (cbrt (fma x (+ y z) (* z 5.0))) 6)
4.9b	(exp (log (cbrt (pow (cbrt (fma x (+ y z) (* z 5.0))) 6))))
27.7b	(cbrt (pow (cbrt (fma x (+ y z) (* z 5.0))) 6))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-prod`
18×	`unpow-prod-down`
16×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`log-prod` `exp-sum`
6×	`pow1`
5×	`add-exp-log` `exp-prod`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `sqr-pow`
2×	`pow-pow` `log-pow`
1×	`pow-to-exp` `pow-exp` `rem-exp-log`

Counts

4 → 84

Calls

4 calls:

1.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
5.0ms	(pow (cbrt (fma x (+ y z) (* z 5.0))) 6)
10.0ms	(exp (log (cbrt (pow (cbrt (fma x (+ y z) (* z 5.0))) 6))))
4.0ms	(cbrt (pow (cbrt (fma x (+ y z) (* z 5.0))) 6))

series1.6s

Counts

4 → 12

Calls

4 calls:

223.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
759.0ms	(pow (cbrt (fma x (+ y z) (* z 5.0))) 6)
342.0ms	(exp (log (cbrt (pow (cbrt (fma x (+ y z) (* z 5.0))) 6))))
304.0ms	(cbrt (pow (cbrt (fma x (+ y z) (* z 5.0))) 6))

simplify2.0s

Counts

96 → 96

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	184	1870
1	364	1713
2	800	1417
3	2417	1314
done	5001	1281

prune358.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes112.0ms

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

sample1.0s

Algorithm

intervals

Results

541.0ms	9795×	body	80	valid
17.0ms	100×	body	1280	valid
16.0ms	114×	body	640	valid
7.0ms	63×	body	320	valid
2.0ms	34×	body	160	valid