Details

sample24.0ms

Algorithm

intervals

Results

9.0ms	315×	body	80	valid
1.0ms	7×	body	640	valid
1.0ms	5×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	160	valid

simplify58.0ms

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

localize21.0ms

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))

series36.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify1.6s

Counts

13 → 13

Iterations

Useful iterations: 2 (25.0ms)

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

prune45.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

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)))

rewrite32.0ms

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:

23.0ms	(* (cbrt (fma x (+ y z) (* z 5.0))) (cbrt (fma x (+ y z) (* z 5.0))))
2.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
2.0ms	(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:

394.0ms	(* (cbrt (fma x (+ y z) (* z 5.0))) (cbrt (fma x (+ y z) (* z 5.0))))
285.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
273.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
267.0ms	(cbrt (fma x (+ y z) (* z 5.0)))

simplify1.5s

Counts

93 → 93

Iterations

Useful iterations: done (1.5s)

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

prune755.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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)))
0.9b	(pow (cbrt (cbrt (fma x (+ y z) (* z 5.0)))) 4)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
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`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 65

Calls

4 calls:

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)))
10.0ms	(pow (cbrt (cbrt (fma x (+ y z) (* z 5.0)))) 4)

series1.2s

Counts

4 → 12

Calls

4 calls:

304.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
230.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
263.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
422.0ms	(pow (cbrt (cbrt (fma x (+ y z) (* z 5.0)))) 4)

simplify1.6s

Counts

77 → 77

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	126	1304
1	295	1215
2	680	1108
3	1834	1046
done	5000	996

prune393.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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)))
1.1b	(pow (cbrt (cbrt (fma x (+ y z) (* z 5.0)))) (+ 4 1))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
13×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow-unpow` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-pow`
1×	`unpow-prod-up` `pow-to-exp` `pow-exp` `distribute-lft-out` `sqr-pow`

Counts

4 → 67

Calls

4 calls:

2.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
2.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
2.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
25.0ms	(pow (cbrt (cbrt (fma x (+ y z) (* z 5.0)))) (+ 4 1))

series1.2s

Counts

4 → 12

Calls

4 calls:

244.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
227.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
283.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
469.0ms	(pow (cbrt (cbrt (fma x (+ y z) (* z 5.0)))) (+ 4 1))

simplify1.9s

Counts

79 → 79

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	129	1418
1	320	1287
2	694	1153
3	1857	1093
done	5000	1064

prune433.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes110.0ms

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

sample1000.0ms

Algorithm

intervals

Results

516.0ms	9781×	body	80	valid
18.0ms	109×	body	1280	valid
15.0ms	118×	body	640	valid
6.0ms	62×	body	320	valid
2.0ms	27×	body	160	valid