Details

Time bar (total: 6.3s)

sample30.0ms

Algorithm
intervals
Results
15.0ms471×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
167
done67

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
10.0ms
(+ (* x x) (* y y))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(+ (* x x) (* y y))

simplify523.0ms

Counts
14 → 14
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
030166
1118161
2674131
done5000131

prune39.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
7.3b
(cbrt (+ (* x x) (* y y)))
7.3b
(cbrt (+ (* x x) (* y y)))
7.3b
(cbrt (+ (* x x) (* y y)))

rewrite86.0ms

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:
58.0ms
(* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
6.0ms
(cbrt (+ (* x x) (* y y)))
11.0ms
(cbrt (+ (* x x) (* y y)))
7.0ms
(cbrt (+ (* x x) (* y y)))

series436.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
107.0ms
(cbrt (+ (* x x) (* y y)))
106.0ms
(cbrt (+ (* x x) (* y y)))
109.0ms
(cbrt (+ (* x x) (* y y)))

simplify735.0ms

Counts
99 → 99
Iterations

Useful iterations: done (730.0ms)

IterNodesCost
01021926
12581757
212081543
done50001447

prune359.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (pow (pow (sqrt (cbrt (+ (* y y) (* x x)))) (+ 3 1)) 1) (cbrt (+ (* x x) (* y y))))
0.8b
(pow (sqrt (cbrt (+ (* y y) (* x x)))) (+ 3 1))
7.3b
(cbrt (+ (* y y) (* x x)))
7.3b
(cbrt (+ (* x x) (* y y)))

rewrite208.0ms

Algorithm
rewrite-expression-head
Rules
48×unpow-prod-down
41×add-sqr-sqrt
24×cbrt-prod
19×*-un-lft-identity
18×associate-*l*
17×add-cube-cbrt
16×sqrt-prod
14×unswap-sqr
13×add-exp-log
7×pow1 sqr-pow
6×cbrt-div associate-*r*
5×pow-exp prod-exp add-cbrt-cube
4×pow-unpow pow-pow add-log-exp
3×pow-to-exp flip3-+ pow1/3 flip-+
2×unpow-prod-up sqrt-pow1 associate-*r/
1×pow1/2 pow-prod-down *-commutative sqrt-pow2 cbrt-unprod distribute-lft-out
Counts
4 → 110
Calls
4 calls:
168.0ms
(* (pow (pow (sqrt (cbrt (+ (* y y) (* x x)))) (+ 3 1)) 1) (cbrt (+ (* x x) (* y y))))
18.0ms
(pow (sqrt (cbrt (+ (* y y) (* x x)))) (+ 3 1))
6.0ms
(cbrt (+ (* y y) (* x x)))
8.0ms
(cbrt (+ (* x x) (* y y)))

series462.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* (pow (pow (sqrt (cbrt (+ (* y y) (* x x)))) (+ 3 1)) 1) (cbrt (+ (* x x) (* y y))))
189.0ms
(pow (sqrt (cbrt (+ (* y y) (* x x)))) (+ 3 1))
119.0ms
(cbrt (+ (* y y) (* x x)))
109.0ms
(cbrt (+ (* x x) (* y y)))

simplify1.6s

Counts
122 → 122
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02012922
15792407
226231910
done50001738

prune465.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes89.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
167
done67

end0.0ms

sample1.2s

Algorithm
intervals
Results
775.0ms14465×body80valid