Details

sample30.0ms

Algorithm

intervals

Results

7.0ms	301×	body	80	nan
7.0ms	268×	body	80	valid

simplify105.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	10	10
1	21	10
2	49	9
3	81	9
4	111	9
5	132	9
6	148	9
7	154	9
8	156	9
done	156	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (sqrt z) y x)

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 (sqrt z) y x)

series64.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

(fma (sqrt z) y x)

simplify1.1s

Counts

13 → 13

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	31	116
1	71	113
2	175	97
3	492	95
4	1771	95
done	5000	93

prune39.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
0.6b	(cbrt (fma (sqrt z) y x))
0.6b	(cbrt (fma (sqrt z) y x))
0.6b	(cbrt (fma (sqrt z) y x))

rewrite12.0ms

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:

8.0ms	(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
0.0ms	(cbrt (fma (sqrt z) y x))
0.0ms	(cbrt (fma (sqrt z) y x))
1.0ms	(cbrt (fma (sqrt z) y x))

series1.2s

Counts

4 → 12

Calls

4 calls:

232.0ms	(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
311.0ms	(cbrt (fma (sqrt z) y x))
320.0ms	(cbrt (fma (sqrt z) y x))
309.0ms	(cbrt (fma (sqrt z) y x))

simplify2.1s

Counts

93 → 93

Iterations

Useful iterations: 3 (516.0ms)

Iter	Nodes	Cost
0	133	1594
1	321	1478
2	1123	1326
3	4724	1098
done	5000	1098

prune295.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (sqrt z) y x))
0.6b	(cbrt (fma (sqrt z) y x))
0.6b	(cbrt (fma (sqrt z) y x))
0.9b	(pow (cbrt (cbrt (fma (sqrt z) y x))) 4)

rewrite6.0ms

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:

0.0ms	(cbrt (fma (sqrt z) y x))
0.0ms	(cbrt (fma (sqrt z) y x))
0.0ms	(cbrt (fma (sqrt z) y x))
3.0ms	(pow (cbrt (cbrt (fma (sqrt z) y x))) 4)

series1.4s

Counts

4 → 12

Calls

4 calls:

319.0ms	(cbrt (fma (sqrt z) y x))
318.0ms	(cbrt (fma (sqrt z) y x))
311.0ms	(cbrt (fma (sqrt z) y x))
414.0ms	(pow (cbrt (cbrt (fma (sqrt z) y x))) 4)

simplify2.1s

Counts

77 → 77

Iterations

Useful iterations: 3 (503.0ms)

Iter	Nodes	Cost
0	133	1200
1	318	1143
2	981	1002
3	4318	906
done	5000	906

prune331.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (sqrt z) y x))
0.6b	(cbrt (fma (sqrt z) y x))
0.9b	(pow (cbrt (cbrt (fma (sqrt z) y x))) 4)
0.9b	(pow (cbrt (cbrt (fma (sqrt z) y x))) 4)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
18×	`unpow-prod-down`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `pow-unpow`
4×	`expm1-log1p-u` `pow-pow` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 78

Calls

4 calls:

0.0ms	(cbrt (fma (sqrt z) y x))
0.0ms	(cbrt (fma (sqrt z) y x))
2.0ms	(pow (cbrt (cbrt (fma (sqrt z) y x))) 4)
6.0ms	(pow (cbrt (cbrt (fma (sqrt z) y x))) 4)

series1.5s

Counts

4 → 12

Calls

4 calls:

330.0ms	(cbrt (fma (sqrt z) y x))
323.0ms	(cbrt (fma (sqrt z) y x))
432.0ms	(pow (cbrt (cbrt (fma (sqrt z) y x))) 4)
421.0ms	(pow (cbrt (cbrt (fma (sqrt z) y x))) 4)

simplify2.2s

Counts

90 → 90

Iterations

Useful iterations: 3 (512.0ms)

Iter	Nodes	Cost
0	133	1388
1	318	1314
2	981	1168
3	4318	1096
done	5000	1096

prune416.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes189.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	10	9
done	10	9

end0.0ms

sample791.0ms

Algorithm

intervals

Results

231.0ms	8532×	body	80	valid
220.0ms	8585×	body	80	nan