Details

sample50.0ms

Algorithm

intervals

Results

25.0ms

402×

body

valid

simplify63.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (13.0ms)

Iter	Nodes	Cost
0	8	15
1	16	14
2	33	11
3	56	8
4	74	8
5	80	8
done	80	8

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma y x (* 3 (* z z)))
0.2b	(* 3 (* z z))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`associate-r` `*-commutative` `fma-udef` `unswap-sqr`

Counts

2 → 31

Calls

2 calls:

1.0ms	(fma y x (* 3 (* z z)))
21.0ms	(* 3 (* z z))

series134.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(fma y x (* 3 (* z z)))
58.0ms	(* 3 (* z z))

simplify2.9s

Counts

37 → 37

Iterations

Useful iterations: 3 (233.0ms)

Iter	Nodes	Cost
0	51	312
1	102	296
2	246	260
3	603	254
4	1323	254
done	5000	254

prune145.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma 3 (pow z 2) (* 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 3 (pow z 2) (* y x))

series66.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

(fma 3 (pow z 2) (* y x))

simplify4.4s

Counts

13 → 13

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	20	140
1	30	137
2	66	121
3	207	121
4	714	121
5	3703	121
done	5000	121

prune51.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 3 (pow z 2)) (* y x))
0.2b	(* 3 (pow z 2))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `fma-def` `flip3-+` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 43

Calls

2 calls:

11.0ms	(+ (* 3 (pow z 2)) (* y x))
15.0ms	(* 3 (pow z 2))

series78.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ (* 3 (pow z 2)) (* y x))
37.0ms	(* 3 (pow z 2))

simplify2.3s

Counts

49 → 49

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	79	472
1	200	406
2	554	365
3	1887	358
done	5000	355

prune150.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma y x (* (* 3 z) z))
0.2b	(* (* 3 z) z)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`associate-l` `*-commutative` `fma-udef`

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma y x (* (* 3 z) z))
20.0ms	(* (* 3 z) z)

series116.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(fma y x (* (* 3 z) z))
42.0ms	(* (* 3 z) z)

simplify3.1s

Counts

36 → 36

Iterations

Useful iterations: 4 (1.5s)

Iter	Nodes	Cost
0	53	307
1	116	291
2	374	253
3	854	247
4	1752	246
done	5000	246

prune98.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes155.0ms

Accuracy

0% (0.1b 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	8	8
1	9	8
done	9	8

end0.0ms

sample1.3s

Algorithm

intervals

Results

710.0ms

12316×

body

valid