Details

Time bar (total: 48.3s)

sample20.0ms

Algorithm
intervals
Results
9.0ms381×body80valid

simplify38.5s

Counts
1 → 1
Iterations

Useful iterations: 3 (8.0ms)

IterNodesCost
0815
11515
22513
3389
4479
5549
6729
71259
81419
91539
102569
116729
1235139
done50009

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

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))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×sum-log
3×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
2×associate-+l+
Counts
3 → 38
Calls
3 calls:
13.0ms
(+ (+ (* x y) (* z z)) (* z z))
2.0ms
(+ (* x y) (* z z))
43.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series130.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(+ (+ (* x y) (* z z)) (* z z))
38.0ms
(+ (* x y) (* z z))
46.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify1.8s

Counts
47 → 47
Iterations

Useful iterations: 3 (379.0ms)

IterNodesCost
070791
1216667
2921601
33144519
done5001519

prune108.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x y) (* 2 (* z z)))) (cbrt (+ (* x y) (* 2 (* z z)))))
3.0b
(cbrt (+ (* x y) (* 2 (* z z))))
3.0b
(cbrt (+ (* x y) (* 2 (* z z))))
3.0b
(cbrt (+ (* x y) (* 2 (* z z))))

rewrite26.0ms

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×frac-times add-cbrt-cube 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 → 87
Calls
4 calls:
17.0ms
(* (cbrt (+ (* x y) (* 2 (* z z)))) (cbrt (+ (* x y) (* 2 (* z z)))))
2.0ms
(cbrt (+ (* x y) (* 2 (* z z))))
2.0ms
(cbrt (+ (* x y) (* 2 (* z z))))
2.0ms
(cbrt (+ (* x y) (* 2 (* z z))))

series577.0ms

Counts
4 → 12
Calls
4 calls:
165.0ms
(* (cbrt (+ (* x y) (* 2 (* z z)))) (cbrt (+ (* x y) (* 2 (* z z)))))
138.0ms
(cbrt (+ (* x y) (* 2 (* z z))))
135.0ms
(cbrt (+ (* x y) (* 2 (* z z))))
138.0ms
(cbrt (+ (* x y) (* 2 (* z z))))

simplify1.6s

Counts
99 → 99
Iterations

Useful iterations: 3 (428.0ms)

IterNodesCost
01302428
13142243
210242089
335491826
done50001826

prune300.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* 3 (pow z 2)) (* x y))) (cbrt (+ (* 3 (pow z 2)) (* x y))))
3.0b
(cbrt (+ (* 3 (pow z 2)) (* x y)))
3.0b
(cbrt (+ (* 3 (pow z 2)) (* x y)))
3.0b
(cbrt (+ (* 3 (pow z 2)) (* x y)))

rewrite32.0ms

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×frac-times add-cbrt-cube 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 → 87
Calls
4 calls:
22.0ms
(* (cbrt (+ (* 3 (pow z 2)) (* x y))) (cbrt (+ (* 3 (pow z 2)) (* x y))))
2.0ms
(cbrt (+ (* 3 (pow z 2)) (* x y)))
2.0ms
(cbrt (+ (* 3 (pow z 2)) (* x y)))
3.0ms
(cbrt (+ (* 3 (pow z 2)) (* x y)))

series461.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(* (cbrt (+ (* 3 (pow z 2)) (* x y))) (cbrt (+ (* 3 (pow z 2)) (* x y))))
110.0ms
(cbrt (+ (* 3 (pow z 2)) (* x y)))
117.0ms
(cbrt (+ (* 3 (pow z 2)) (* x y)))
112.0ms
(cbrt (+ (* 3 (pow z 2)) (* x y)))

simplify2.2s

Counts
99 → 99
Iterations

Useful iterations: 3 (441.0ms)

IterNodesCost
01222414
12842229
29232011
339221780
done50001780

prune320.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (* (sqrt (+ (* 2 (pow z 2)) (* x y))) (sqrt (+ (* 2 (pow z 2)) (* x y)))) (* z z))
0.4b
(* (sqrt (+ (* 2 (pow z 2)) (* x y))) (sqrt (+ (* 2 (pow z 2)) (* x y))))
2.5b
(sqrt (+ (* 2 (pow z 2)) (* x y)))
2.5b
(sqrt (+ (* 2 (pow z 2)) (* x y)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
12.0ms
(+ (* (sqrt (+ (* 2 (pow z 2)) (* x y))) (sqrt (+ (* 2 (pow z 2)) (* x y)))) (* z z))
30.0ms
(* (sqrt (+ (* 2 (pow z 2)) (* x y))) (sqrt (+ (* 2 (pow z 2)) (* x y))))
5.0ms
(sqrt (+ (* 2 (pow z 2)) (* x y)))
5.0ms
(sqrt (+ (* 2 (pow z 2)) (* x y)))

series286.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ (* (sqrt (+ (* 2 (pow z 2)) (* x y))) (sqrt (+ (* 2 (pow z 2)) (* x y)))) (* z z))
40.0ms
(* (sqrt (+ (* 2 (pow z 2)) (* x y))) (sqrt (+ (* 2 (pow z 2)) (* x y))))
106.0ms
(sqrt (+ (* 2 (pow z 2)) (* x y)))
105.0ms
(sqrt (+ (* 2 (pow z 2)) (* x y)))

simplify582.0ms

Counts
110 → 110
Iterations

Useful iterations: 2 (112.0ms)

IterNodesCost
01122756
12831799
212171627
done50001627

prune238.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes276.0ms

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)

IterNodesCost
0815
11215
done1215

end0.0ms

sample612.0ms

Algorithm
intervals
Results
332.0ms12147×body80valid