Details

sample36.0ms

Algorithm

intervals

Results

10.0ms	271×	body	80	valid
7.0ms	276×	body	80	nan

simplify178.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

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

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)

series66.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

(fma (sqrt z) y x)

simplify2.4s

Counts

13 → 13

Iterations

Useful iterations: 5 (1.2s)

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

prune41.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

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:

1.0ms	(cbrt (fma (sqrt z) y x))
1.0ms	(cbrt (fma (sqrt z) y x))
1.0ms	(cbrt (fma (sqrt z) y x))
11.0ms	(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))

series1.3s

Counts

4 → 12

Calls

4 calls:

344.0ms	(cbrt (fma (sqrt z) y x))
350.0ms	(cbrt (fma (sqrt z) y x))
350.0ms	(cbrt (fma (sqrt z) y x))
267.0ms	(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))

simplify1.7s

Counts

93 → 93

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	133	1594
1	318	1474
2	880	1326
3	2656	1098
done	5000	1048

prune314.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (cbrt (fma (sqrt z) y x)))
0.5b	(cbrt (cbrt (fma (sqrt z) y x)))
0.5b	(cbrt (cbrt (fma (sqrt z) y x)))
0.9b	(pow (cbrt (cbrt (fma (sqrt z) y x))) 4)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
14×	`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 → 74

Calls

4 calls:

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

series1.6s

Counts

4 → 12

Calls

4 calls:

384.0ms	(cbrt (cbrt (fma (sqrt z) y x)))
362.0ms	(cbrt (cbrt (fma (sqrt z) y x)))
366.0ms	(cbrt (cbrt (fma (sqrt z) y x)))
497.0ms	(pow (cbrt (cbrt (fma (sqrt z) y x))) 4)

simplify1.7s

Counts

86 → 86

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	133	1401
1	310	1300
2	782	1176
3	2427	1084
done	5001	1029

prune329.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (cbrt (fma (sqrt z) y x)))
0.5b	(cbrt (cbrt (fma (sqrt z) y x)))
0.6b	(cbrt (cbrt (cbrt (fma (sqrt z) y x))))
0.9b	(pow (* (cbrt (pow (cbrt (cbrt (fma (sqrt z) y x))) 2)) (cbrt (cbrt (cbrt (fma (sqrt z) y x))))) 4)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

37×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`pow1` `add-exp-log`
5×	`pow1/3`
4×	`expm1-log1p-u` `pow-pow` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-prod-down` `pow-exp`
1×	`pow-to-exp` `unpow-prod-down` `pow3` `prod-exp` `unpow2` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

1.0ms	(cbrt (cbrt (fma (sqrt z) y x)))
1.0ms	(cbrt (cbrt (fma (sqrt z) y x)))
2.0ms	(cbrt (cbrt (cbrt (fma (sqrt z) y x))))
16.0ms	(pow (* (cbrt (pow (cbrt (cbrt (fma (sqrt z) y x))) 2)) (cbrt (cbrt (cbrt (fma (sqrt z) y x))))) 4)

series1.6s

Counts

4 → 12

Calls

4 calls:

362.0ms	(cbrt (cbrt (fma (sqrt z) y x)))
368.0ms	(cbrt (cbrt (fma (sqrt z) y x)))
359.0ms	(cbrt (cbrt (cbrt (fma (sqrt z) y x))))
482.0ms	(pow (* (cbrt (pow (cbrt (cbrt (fma (sqrt z) y x))) 2)) (cbrt (cbrt (cbrt (fma (sqrt z) y x))))) 4)

simplify1.8s

Counts

84 → 84

Iterations

Useful iterations: 3 (681.0ms)

Iter	Nodes	Cost
0	181	1576
1	417	1476
2	1105	1341
3	3672	1259
done	5000	1259

prune410.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes176.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample930.0ms

Algorithm

intervals

Results

232.0ms	8474×	body	80	valid
226.0ms	8504×	body	80	nan