Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

381×

body

valid

simplify37.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (9.0ms)

Iter	Nodes	Cost
0	8	15
1	16	14
2	33	11
3	55	8
4	72	8
5	76	8
done	76	8

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

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))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

12.0ms	(+ (+ (* x y) (* z z)) (* z z))
3.0ms	(+ (* x y) (* z z))
52.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series132.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(+ (+ (* x y) (* z z)) (* z z))
38.0ms	(+ (* x y) (* z z))
48.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify1.7s

Counts

60 → 60

Iterations

Useful iterations: 3 (774.0ms)

Iter	Nodes	Cost
0	76	863
1	236	666
2	848	590
3	3040	521
done	5000	521

prune164.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`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 (* z z) (* x y))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify1.8s

Counts

13 → 13

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	21	140
1	32	137
2	71	121
3	181	121
4	601	121
5	2361	121
done	5000	121

prune43.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
3.0b	(cbrt (+ (* x y) (* z z)))
3.0b	(cbrt (+ (* x y) (* z z)))
3.0b	(cbrt (+ (* x y) (* z z)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

18.0ms	(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
2.0ms	(cbrt (+ (* x y) (* z z)))
2.0ms	(cbrt (+ (* x y) (* z z)))
2.0ms	(cbrt (+ (* x y) (* z z)))

series526.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
125.0ms	(cbrt (+ (* x y) (* z z)))
124.0ms	(cbrt (+ (* x y) (* z z)))
128.0ms	(cbrt (+ (* x y) (* z z)))

simplify1.1s

Counts

107 → 107

Iterations

Useful iterations: 3 (448.0ms)

Iter	Nodes	Cost
0	123	2080
1	294	1743
2	820	1616
3	2258	1454
done	5001	1454

prune421.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma x y (* z z))) (cbrt (+ (* x y) (* z z))))
3.0b	(cbrt (fma x y (* z z)))
3.0b	(cbrt (+ (* x y) (* z z)))
3.0b	(cbrt (+ (* x y) (* z z)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

19×	`cbrt-prod` `add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `cbrt-div` `associate-r` `associate-l`
5×	`pow1/3`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`flip3-+` `flip-+`
2×	`associate-*r/` `pow-prod-down`
1×	`prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 75

Calls

4 calls:

12.0ms	(* (cbrt (fma x y (* z z))) (cbrt (+ (* x y) (* z z))))
0.0ms	(cbrt (fma x y (* z z)))
3.0ms	(cbrt (+ (* x y) (* z z)))
2.0ms	(cbrt (+ (* x y) (* z z)))

series553.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(* (cbrt (fma x y (* z z))) (cbrt (+ (* x y) (* z z))))
126.0ms	(cbrt (fma x y (* z z)))
133.0ms	(cbrt (+ (* x y) (* z z)))
127.0ms	(cbrt (+ (* x y) (* z z)))

simplify1.1s

Counts

87 → 87

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	122	1423
1	301	1301
2	789	1178
3	2078	1119
done	5002	1116

prune342.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes198.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample567.0ms

Algorithm

intervals

Results

317.0ms

12147×

body

valid