Details

sample33.0ms

Algorithm

intervals

Results

8.0ms	276×	body	80	valid
8.0ms	273×	body	80	nan

simplify107.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	10	10
1	21	10
2	49	9
3	79	9
4	107	9
5	128	9
6	144	9
7	150	9
8	152	9
done	152	9

prune7.0ms

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)

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

(fma (sqrt z) y x)

simplify1.3s

Counts

13 → 13

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	31	116
1	71	113
2	175	97
3	444	95
4	1518	95
done	5000	92

prune42.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

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:

6.0ms	(* (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))

series1.2s

Counts

4 → 12

Calls

4 calls:

246.0ms	(* (cbrt (fma (sqrt z) y x)) (cbrt (fma (sqrt z) y x)))
321.0ms	(cbrt (fma (sqrt z) y x))
330.0ms	(cbrt (fma (sqrt z) y x))
328.0ms	(cbrt (fma (sqrt z) y x))

simplify2.2s

Counts

93 → 93

Iterations

Useful iterations: 3 (610.0ms)

Iter	Nodes	Cost
0	133	1594
1	318	1474
2	1011	1326
3	4505	1098
done	5000	1098

prune309.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (sqrt z) y x))
0.5b	(cbrt (fma (sqrt z) y x))
0.6b	(pow (cbrt (fma (sqrt z) y x)) 6)
29.2b	(cbrt (pow (cbrt (fma (sqrt z) y x)) 6))

rewrite6.0ms

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 (sqrt z) y x))
0.0ms	(cbrt (fma (sqrt z) y x))
2.0ms	(pow (cbrt (fma (sqrt z) y x)) 6)
2.0ms	(cbrt (pow (cbrt (fma (sqrt z) y x)) 6))

series53.0s

Counts

4 → 12

Calls

4 calls:

327.0ms	(cbrt (fma (sqrt z) y x))
320.0ms	(cbrt (fma (sqrt z) y x))
52.1s	(pow (cbrt (fma (sqrt z) y x)) 6)
246.0ms	(cbrt (pow (cbrt (fma (sqrt z) y x)) 6))

simplify507.0ms

Counts

81 → 81

Iterations

Useful iterations: done (504.0ms)

Iter	Nodes	Cost
0	151	1253
1	350	1189
2	1080	1012
done	5001	925

prune293.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (fma (sqrt z) y x) 2)
0.3b	(* (cbrt (pow (fma (sqrt z) y x) 2)) (cbrt (fma (sqrt z) y x)))
0.5b	(cbrt (fma (sqrt z) y x))
29.2b	(cbrt (pow (fma (sqrt z) y x) 2))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
30×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
11×	`unpow-prod-down` `associate-l`
10×	`unswap-sqr`
7×	`pow1` `add-exp-log`
6×	`associate-r` `unpow2`
5×	`sqr-pow`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-prod-down`
1×	`pow-to-exp` `pow-pow` `pow3` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 93

Calls

4 calls:

1.0ms	(pow (fma (sqrt z) y x) 2)
9.0ms	(* (cbrt (pow (fma (sqrt z) y x) 2)) (cbrt (fma (sqrt z) y x)))
1.0ms	(cbrt (fma (sqrt z) y x))
1.0ms	(cbrt (pow (fma (sqrt z) y x) 2))

series713.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(pow (fma (sqrt z) y x) 2)
64.0ms	(* (cbrt (pow (fma (sqrt z) y x) 2)) (cbrt (fma (sqrt z) y x)))
323.0ms	(cbrt (fma (sqrt z) y x))
248.0ms	(cbrt (pow (fma (sqrt z) y x) 2))

simplify678.0ms

Counts

105 → 105

Iterations

Useful iterations: done (675.0ms)

Iter	Nodes	Cost
0	196	1765
1	475	1665
2	1329	1486
done	5000	1403

prune325.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes156.0ms

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

sample816.0ms

Algorithm

intervals

Results

235.0ms	8543×	body	80	valid
223.0ms	8479×	body	80	nan