Details

sample44.0ms

Algorithm

intervals

Results

28.0ms

398×

body

valid

simplify50.0ms

Counts

1 → 1

Iterations

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

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (* x y) (* z z)) (* z z))
0.0b	(+ (* x y) (* z z))
0.1b	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
7×	`fma-def`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`expm1-log1p-u` `pow1` `+-commutative` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `insert-posit16` `log1p-expm1-u`
2×	`associate-+l+`

Counts

3 → 54

Calls

3 calls:

32.0ms	(+ (+ (* x y) (* z z)) (* z z))
8.0ms	(+ (* x y) (* z z))
134.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series165.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(+ (+ (* x y) (* z z)) (* z z))
50.0ms	(+ (* x y) (* z z))
66.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify503.0ms

Counts

63 → 63

Iterations

Iter	Nodes
done	2002
2	873
1	249
0	79

prune233.0ms

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 (* z z) (* x y))

rewrite0.0ms

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:

0.0ms

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

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

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

simplify538.0ms

Counts

14 → 14

Iterations

Iter	Nodes
done	2005
4	605
3	208
2	86
1	38
0	22

prune78.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
2.8b	(cbrt (+ (* x y) (* z z)))
2.8b	(cbrt (+ (* x y) (* z z)))
2.8b	(cbrt (+ (* x y) (* z z)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

39.0ms	(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
9.0ms	(cbrt (+ (* x y) (* z z)))
4.0ms	(cbrt (+ (* x y) (* z z)))
7.0ms	(cbrt (+ (* x y) (* z z)))

series725.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
180.0ms	(cbrt (+ (* x y) (* z z)))
172.0ms	(cbrt (+ (* x y) (* z z)))
177.0ms	(cbrt (+ (* x y) (* z z)))

simplify501.0ms

Counts

111 → 111

Iterations

Iter	Nodes
done	2002
2	844
1	315
0	125

prune608.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (* x y) (* z z)) (* z z))) (cbrt (+ (+ (* x y) (* z z)) (* z z))))
2.8b	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
2.8b	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
2.8b	(cbrt (+ (+ (* x y) (* z z)) (* z z)))

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

166.0ms	(* (cbrt (+ (+ (* x y) (* z z)) (* z z))) (cbrt (+ (+ (* x y) (* z z)) (* z z))))
14.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
28.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
13.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))

series799.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(* (cbrt (+ (+ (* x y) (* z z)) (* z z))) (cbrt (+ (+ (* x y) (* z z)) (* z z))))
195.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
198.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
182.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))

simplify632.0ms

Counts

111 → 111

Iterations

Iter	Nodes
done	2001
2	855
1	331
0	134

prune533.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes267.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample1.3s

Algorithm

intervals

Results

921.0ms

12238×

body

valid