Details

sample38.0ms

Algorithm

intervals

Results

14.0ms

391×

body

valid

simplify108.0ms

Counts

1 → 1

Iterations

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

prune36.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

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))

rewrite223.0ms

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:

41.0ms	(+ (+ (* x y) (* z z)) (* z z))
11.0ms	(+ (* x y) (* z z))
169.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series223.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(+ (+ (* x y) (* z z)) (* z z))
58.0ms	(+ (* x y) (* z z))
80.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify7.3s

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
3	4605
2	875
1	249
0	79

prune760.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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))

series69.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

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

simplify7.0s

Counts

14 → 14

Iterations

Iter	Nodes
done	5000
5	3222
4	675
3	195
2	80
1	37
0	22

prune239.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize82.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
4.5b	(cbrt (+ (* x y) (* z z)))
4.5b	(cbrt (+ (* x y) (* z z)))
4.5b	(cbrt (+ (* x y) (* z z)))

rewrite136.0ms

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:

90.0ms	(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
8.0ms	(cbrt (+ (* x y) (* z z)))
14.0ms	(cbrt (+ (* x y) (* z z)))
13.0ms	(cbrt (+ (* x y) (* z z)))

series1.5s

Counts

4 → 12

Calls

4 calls:

419.0ms	(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
349.0ms	(cbrt (+ (* x y) (* z z)))
369.0ms	(cbrt (+ (* x y) (* z z)))
373.0ms	(cbrt (+ (* x y) (* z z)))

simplify4.0s

Counts

111 → 111

Iterations

Iter	Nodes
done	5006
3	2234
2	831
1	314
0	125

prune1.7s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize92.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (* x y) (* z z)) (* z z))) (cbrt (+ (+ (* x y) (* z z)) (* z z))))
4.4b	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
4.4b	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
4.4b	(cbrt (+ (+ (* x y) (* z z)) (* z z)))

rewrite373.0ms

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:

267.0ms	(* (cbrt (+ (+ (* x y) (* z z)) (* z z))) (cbrt (+ (+ (* x y) (* z z)) (* z z))))
40.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
27.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
32.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))

series1.6s

Counts

4 → 12

Calls

4 calls:

430.0ms	(* (cbrt (+ (+ (* x y) (* z z)) (* z z))) (cbrt (+ (+ (* x y) (* z z)) (* z z))))
437.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
405.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
364.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))

simplify5.5s

Counts

111 → 111

Iterations

Iter	Nodes
done	5045
3	2475
2	857
1	331
0	134

prune1.6s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes1.3s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample1.3s

Algorithm

intervals

Results

694.0ms

12246×

body

valid