Details

sample45.0ms

Algorithm

intervals

Results

29.0ms

394×

body

valid

simplify82.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	75
5	75
4	71
3	56
2	33
1	16
0	8

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

1.0ms

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

series45.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify2.5s

Counts

14 → 14

Iterations

Iter	Nodes
done	5000
5	2919
4	605
3	208
2	86
1	38
0	22

prune68.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma 3 (* z z) (* x y))) (cbrt (fma 3 (* z z) (* x y))))
3.6b	(cbrt (fma 3 (* z z) (* x y)))
3.6b	(cbrt (fma 3 (* z z) (* x y)))
3.6b	(cbrt (fma 3 (* z z) (* x y)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `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 → 85

Calls

4 calls:

8.0ms	(* (cbrt (fma 3 (* z z) (* x y))) (cbrt (fma 3 (* z z) (* x y))))
1.0ms	(cbrt (fma 3 (* z z) (* x y)))
1.0ms	(cbrt (fma 3 (* z z) (* x y)))
1.0ms	(cbrt (fma 3 (* z z) (* x y)))

series613.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(* (cbrt (fma 3 (* z z) (* x y))) (cbrt (fma 3 (* z z) (* x y))))
155.0ms	(cbrt (fma 3 (* z z) (* x y)))
157.0ms	(cbrt (fma 3 (* z z) (* x y)))
139.0ms	(cbrt (fma 3 (* z z) (* x y)))

simplify2.2s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
4	3054
3	1126
2	514
1	226
0	102

prune433.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

3.6b	(cbrt (fma 3 (* z z) (* x y)))
3.6b	(cbrt (fma 3 (* z z) (* x y)))
3.6b	(cbrt (fma 3 (* z z) (* x y)))
3.6b	(cbrt (fma 3 (* z z) (* x y)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

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

series583.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(cbrt (fma 3 (* z z) (* x y)))
138.0ms	(cbrt (fma 3 (* z z) (* x y)))
139.0ms	(cbrt (fma 3 (* z z) (* x y)))
144.0ms	(cbrt (fma 3 (* z z) (* x y)))

simplify1.9s

Counts

68 → 68

Iterations

Iter	Nodes
done	5002
5	3176
4	919
3	437
2	209
1	105
0	53

prune403.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

3.6b	(cbrt (fma 3 (* z z) (* x y)))
3.6b	(cbrt (fma 3 (* z z) (* x y)))
3.6b	(cbrt (fma 3 (* z z) (* x y)))
3.6b	(cbrt (fma 3 (* z z) (* x y)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

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

series645.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(cbrt (fma 3 (* z z) (* x y)))
166.0ms	(cbrt (fma 3 (* z z) (* x y)))
146.0ms	(cbrt (fma 3 (* z z) (* x y)))
172.0ms	(cbrt (fma 3 (* z z) (* x y)))

simplify2.0s

Counts

68 → 68

Iterations

Iter	Nodes
done	5002
5	3176
4	919
3	437
2	209
1	105
0	53

prune391.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes373.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.2s

12196×

body

valid