Details

sample33.0ms

Algorithm

intervals

Results

22.0ms

396×

body

valid

simplify55.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	79
6	79
5	78
4	73
3	56
2	33
1	16
0	8

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

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:

0.0ms

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

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify2.0s

Counts

14 → 14

Iterations

Iter	Nodes
done	5000
5	2860
4	611
3	229
2	87
1	38
0	22

prune77.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite183.0ms

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:

9.0ms	(+ (* x y) (* z z))
36.0ms	(+ (+ (* x y) (* z z)) (* z z))
137.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series171.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(+ (* x y) (* z z))
60.0ms	(+ (+ (* x y) (* z z)) (* z z))
64.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify2.3s

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
3	3939
2	900
1	249
0	79

prune292.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (* x y) (* z z)) (* z z))) (cbrt (+ (+ (* x y) (* z z)) (* z z))))
3.2b	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
3.2b	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
3.2b	(cbrt (+ (+ (* x y) (* z z)) (* z z)))

rewrite172.0ms

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:

116.0ms	(* (cbrt (+ (+ (* x y) (* z z)) (* z z))) (cbrt (+ (+ (* x y) (* z z)) (* z z))))
16.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
18.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
20.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))

series632.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(* (cbrt (+ (+ (* x y) (* z z)) (* z z))) (cbrt (+ (+ (* x y) (* z z)) (* z z))))
155.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
144.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
155.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))

simplify2.6s

Counts

111 → 111

Iterations

Iter	Nodes
done	5002
3	2673
2	887
1	331
0	134

prune605.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

3.2b	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
3.2b	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
3.2b	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
3.2b	(cbrt (* (* (cbrt (+ (+ (* x y) (* z z)) (* z z))) (cbrt (+ (+ (* x y) (* z z)) (* z z)))) (cbrt (+ (+ (* x y) (* z z)) (* z z)))))

rewrite215.0ms

Algorithm

rewrite-expression-head

Rules

86×	`cbrt-div`
30×	`flip3-+` `flip-+`
28×	`frac-times`
14×	`associate-*l/`
10×	`cbrt-prod`
8×	`associate-*r/`
7×	`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`
1×	`pow3` `rem-cbrt-cube`

Counts

4 → 87

Calls

4 calls:

19.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
19.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
14.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
160.0ms	(cbrt (* (* (cbrt (+ (+ (* x y) (* z z)) (* z z))) (cbrt (+ (+ (* x y) (* z z)) (* z z)))) (cbrt (+ (+ (* x y) (* z z)) (* z z)))))

series636.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
170.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
142.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
165.0ms	(cbrt (* (* (cbrt (+ (+ (* x y) (* z z)) (* z z))) (cbrt (+ (+ (* x y) (* z z)) (* z z)))) (cbrt (+ (+ (* x y) (* z z)) (* z z)))))

simplify1.8s

Counts

99 → 99

Iterations

Iter	Nodes
done	5008
3	1874
2	603
1	308
0	168

prune563.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes362.0ms

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

922.0ms

12226×

body

valid