Details

sample65.0ms

Algorithm

intervals

Results

16.0ms	286×	body	80	nan
15.0ms	271×	body	80	valid

simplify260.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	10	10
1	21	10
2	51	9
3	85	9
4	121	9
5	140	9
6	157	9
7	173	9
8	175	9
done	175	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

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:

1.0ms

(fma (sqrt z) y x)

series89.0ms

Counts

1 → 3

Calls

1 calls:

89.0ms

(fma (sqrt z) y x)

simplify3.2s

Counts

13 → 13

Iterations

Useful iterations: 5 (1.6s)

Iter	Nodes	Cost
0	31	116
1	71	113
2	171	97
3	394	95
4	1016	95
5	2924	92
done	5001	92

prune59.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize23.0ms

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))

rewrite18.0ms

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:

12.0ms	(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
1.0ms	(cbrt (fma (sqrt z) y x))
1.0ms	(cbrt (fma (sqrt z) y x))
1.0ms	(cbrt (fma (sqrt z) y x))

series1.4s

Counts

4 → 12

Calls

4 calls:

268.0ms	(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
376.0ms	(cbrt (fma (sqrt z) y x))
384.0ms	(cbrt (fma (sqrt z) y x))
345.0ms	(cbrt (fma (sqrt z) y x))

simplify2.0s

Counts

93 → 93

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	133	1594
1	318	1474
2	883	1326
3	2667	1098
done	5000	1048

prune393.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

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)

rewrite9.0ms

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 (sqrt z) y x))
1.0ms	(cbrt (fma (sqrt z) y x))
1.0ms	(cbrt (fma (sqrt z) y x))
5.0ms	(pow (cbrt (cbrt (fma (sqrt z) y x))) 4)

series1.7s

Counts

4 → 12

Calls

4 calls:

398.0ms	(cbrt (fma (sqrt z) y x))
327.0ms	(cbrt (fma (sqrt z) y x))
401.0ms	(cbrt (fma (sqrt z) y x))
589.0ms	(pow (cbrt (cbrt (fma (sqrt z) y x))) 4)

simplify2.3s

Counts

77 → 77

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	133	1200
1	316	1114
2	789	1002
3	2437	906
done	5000	857

prune533.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

localize92.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (sqrt z) y x))
0.6b	(cbrt (fma (sqrt z) y x))
0.7b	(pow (pow (cbrt (cbrt (fma (sqrt z) y x))) 2) 3)
0.9b	(pow (cbrt (cbrt (fma (sqrt z) y x))) 4)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

41×	`unpow-prod-down`
33×	`cbrt-prod`
19×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
14×	`cube-prod`
7×	`add-exp-log`
6×	`pow-unpow`
5×	`pow1` `pow-exp` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`pow-to-exp` `pow-pow` `pow1/3`
2×	`unpow2`
1×	`cube-mult` `unpow3` `rem-cube-cbrt`

Counts

4 → 101

Calls

4 calls:

1.0ms	(cbrt (fma (sqrt z) y x))
1.0ms	(cbrt (fma (sqrt z) y x))
10.0ms	(pow (pow (cbrt (cbrt (fma (sqrt z) y x))) 2) 3)
9.0ms	(pow (cbrt (cbrt (fma (sqrt z) y x))) 4)

series2.1s

Counts

4 → 12

Calls

4 calls:

382.0ms	(cbrt (fma (sqrt z) y x))
423.0ms	(cbrt (fma (sqrt z) y x))
680.0ms	(pow (pow (cbrt (cbrt (fma (sqrt z) y x))) 2) 3)
652.0ms	(pow (cbrt (cbrt (fma (sqrt z) y x))) 4)

simplify1.3s

Counts

113 → 113

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	208	1970
1	544	1672
2	1467	1466
done	5000	1396

prune637.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 0.0b

regimes472.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample2.0s

Algorithm

intervals

Results

625.0ms	8480×	body	80	valid
560.0ms	8552×	body	80	nan