Details

sample25.0ms

Algorithm

intervals

Results

12.0ms

407×

body

valid

simplify26.0ms

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

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))

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`add-sqr-sqrt` `pow1` `+-commutative` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

45.0ms	(+ (+ (* x y) (* z z)) (* z z))
12.0ms	(+ (* x y) (* z z))
128.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series200.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(+ (+ (* x y) (* z z)) (* z z))
48.0ms	(+ (* x y) (* z z))
65.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify1.2s

Counts

47 → 47

Iterations

Iter	Nodes
done	5000
2	922
1	225
0	70

prune316.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
2.9b	(cbrt (+ (* x y) (* z z)))
2.9b	(cbrt (+ (* x y) (* z z)))
2.9b	(cbrt (+ (* x y) (* z z)))

rewrite66.0ms

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:

43.0ms	(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
9.0ms	(cbrt (+ (* x y) (* z z)))
4.0ms	(cbrt (+ (* x y) (* z z)))
4.0ms	(cbrt (+ (* x y) (* z z)))

series758.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
196.0ms	(cbrt (+ (* x y) (* z z)))
176.0ms	(cbrt (+ (* x y) (* z z)))
192.0ms	(cbrt (+ (* x y) (* z z)))

simplify2.1s

Counts

99 → 99

Iterations

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

prune573.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))) (cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))))
2.9b	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
2.9b	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
2.9b	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))

rewrite811.0ms

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:

588.0ms	(* (cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))) (cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))))
79.0ms	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
69.0ms	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
72.0ms	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))

series869.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(* (cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))) (cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))))
193.0ms	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
204.0ms	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
256.0ms	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))

simplify2.2s

Counts

99 → 99

Iterations

Iter	Nodes
done	5006
3	2949
2	886
1	324
0	132

prune729.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))
0.4b	(* (sqrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))) (sqrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))))
2.5b	(sqrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
2.5b	(sqrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))

rewrite967.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`*-un-lft-identity` `add-cube-cbrt`
13×	`add-log-exp`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`sum-log` `add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `associate-r/`
1×	`pow2` `+-commutative` `associate-+l+` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

139.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))
560.0ms	(* (sqrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))) (sqrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))))
110.0ms	(sqrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
154.0ms	(sqrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))

series516.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))
92.0ms	(* (sqrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))) (sqrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))))
183.0ms	(sqrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
147.0ms	(sqrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))

simplify3.9s

Counts

113 → 113

Iterations

Iter	Nodes
done	5000
3	4986
2	771
1	252
0	105

prune511.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes601.0ms

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	12
1	12
0	8

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.1s

12233×

body

valid