Details

sample47.0ms

Algorithm

intervals

Results

19.0ms

373×

body

valid

simplify32.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	47
5	47
4	44
3	37
2	25
1	15
0	8

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
7×	`sum-log`
2×	`add-sqr-sqrt` `pow1` `+-commutative` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+`
1×	`associate-+l+`

Counts

2 → 25

Calls

2 calls:

12.0ms	(+ (* x y) (* z z))
107.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series112.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(+ (* x y) (* z z))
64.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify3.1s

Counts

31 → 31

Iterations

Iter	Nodes
done	5006
3	4746
2	768
1	188
0	56

prune193.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
1.8b	(cbrt (+ (* x y) (* z z)))
1.8b	(cbrt (+ (* x y) (* z z)))
1.8b	(cbrt (+ (* x y) (* z z)))

rewrite52.0ms

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×	`frac-times` `add-cbrt-cube` `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 → 87

Calls

4 calls:

33.0ms	(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
4.0ms	(cbrt (+ (* x y) (* z z)))
8.0ms	(cbrt (+ (* x y) (* z z)))
4.0ms	(cbrt (+ (* x y) (* z z)))

series780.0ms

Counts

4 → 12

Calls

4 calls:

249.0ms	(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
165.0ms	(cbrt (+ (* x y) (* z z)))
186.0ms	(cbrt (+ (* x y) (* z z)))
180.0ms	(cbrt (+ (* x y) (* z z)))

simplify1.8s

Counts

99 → 99

Iterations

Iter	Nodes
done	5008
3	2191
2	812
1	299
0	119

prune556.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 4 expressions with local error:

1.8b	(cbrt (+ (* x y) (* z z)))
1.8b	(cbrt (+ (* x y) (* z z)))
1.8b	(cbrt (+ (* x y) (* z z)))
1.8b	(cbrt (+ (* x y) (* z z)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `cbrt-div` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `flip3-+` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

4.0ms	(cbrt (+ (* x y) (* z z)))
4.0ms	(cbrt (+ (* x y) (* z z)))
5.0ms	(cbrt (+ (* x y) (* z z)))
7.0ms	(cbrt (+ (* x y) (* z z)))

series657.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(cbrt (+ (* x y) (* z z)))
166.0ms	(cbrt (+ (* x y) (* z z)))
165.0ms	(cbrt (+ (* x y) (* z z)))
182.0ms	(cbrt (+ (* x y) (* z z)))

simplify2.4s

Counts

64 → 64

Iterations

Iter	Nodes
done	5002
4	3202
3	1133
2	397
1	157
0	60

prune919.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize101.0ms

Local error

Found 4 expressions with local error:

1.8b	(cbrt (+ (* x y) (* z z)))
1.8b	(cbrt (+ (* x y) (* z z)))
1.8b	(cbrt (+ (* x y) (* z z)))
1.8b	(cbrt (+ (* x y) (* z z)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `cbrt-div` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `flip3-+` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

5.0ms	(cbrt (+ (* x y) (* z z)))
4.0ms	(cbrt (+ (* x y) (* z z)))
4.0ms	(cbrt (+ (* x y) (* z z)))
4.0ms	(cbrt (+ (* x y) (* z z)))

series735.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(cbrt (+ (* x y) (* z z)))
162.0ms	(cbrt (+ (* x y) (* z z)))
174.0ms	(cbrt (+ (* x y) (* z z)))
203.0ms	(cbrt (+ (* x y) (* z z)))

simplify2.0s

Counts

64 → 64

Iterations

Iter	Nodes
done	5002
4	3202
3	1133
2	397
1	157
0	60

prune548.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes549.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample1.2s

Algorithm

intervals

Results

685.0ms

12178×

body

valid