Details

Time bar (total: 15.4s)

sample120.0ms

Algorithm
intervals
Results
16.0ms341×body80valid

simplify32.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
055
175
2155
3195
done195

prune52.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) z)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×associate-*l*
3×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×associate-*l/
1×expm1-log1p-u flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ log1p-expm1-u distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 23
Calls
1 calls:
46.0ms
(* (+ x y) z)

series55.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(* (+ x y) z)

simplify736.0ms

Counts
26 → 26
Iterations

Useful iterations: done (734.0ms)

IterNodesCost
047190
1115185
2533165
done5000163

prune178.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
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 → 103
Calls
4 calls:
76.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
8.0ms
(cbrt (+ x y))
8.0ms
(cbrt (+ x y))
10.0ms
(cbrt (+ x y))

series1.0s

Counts
4 → 12
Calls
4 calls:
310.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
247.0ms
(cbrt (+ x y))
230.0ms
(cbrt (+ x y))
247.0ms
(cbrt (+ x y))

simplify1.2s

Counts
115 → 115
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01201316
12881186
211681128
done50001104

prune680.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))
0.5b
(cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))
0.6b
(cbrt (cbrt (+ x y)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-div
20×cbrt-prod
14×*-un-lft-identity
9×flip3-+ flip-+
8×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log expm1-log1p-u frac-times pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×distribute-lft-out
2×associate-*r/ associate-*l/
Counts
4 → 70
Calls
4 calls:
7.0ms
(cbrt (+ x y))
7.0ms
(cbrt (+ x y))
22.0ms
(cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))
8.0ms
(cbrt (cbrt (+ x y)))

series1.3s

Counts
4 → 12
Calls
4 calls:
229.0ms
(cbrt (+ x y))
211.0ms
(cbrt (+ x y))
489.0ms
(cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))
342.0ms
(cbrt (cbrt (+ x y)))

simplify3.0s

Counts
82 → 82
Iterations

Useful iterations: 3 (1.6s)

IterNodesCost
01521000
1308949
2952901
33800885
done5000885

prune730.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt (cbrt (+ x y))))
0.6b
(cbrt (cbrt (+ x y)))
0.6b
(cbrt (cbrt (+ x y)))
0.6b
(cbrt (cbrt (+ x y)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
54×cbrt-prod
21×*-un-lft-identity
18×cbrt-div
13×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log expm1-log1p-u flip3-+ pow1/3 add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out add-log-exp
Counts
4 → 79
Calls
4 calls:
10.0ms
(cbrt (cbrt (cbrt (+ x y))))
7.0ms
(cbrt (cbrt (+ x y)))
9.0ms
(cbrt (cbrt (+ x y)))
9.0ms
(cbrt (cbrt (+ x y)))

series1.6s

Counts
4 → 12
Calls
4 calls:
379.0ms
(cbrt (cbrt (cbrt (+ x y))))
405.0ms
(cbrt (cbrt (+ x y)))
393.0ms
(cbrt (cbrt (+ x y)))
396.0ms
(cbrt (cbrt (+ x y)))

simplify2.1s

Counts
91 → 91
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01151009
1232965
2654920
32587904
done5001900

prune866.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes387.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
175
done75

end0.0ms

sample983.0ms

Algorithm
intervals
Results
382.0ms10150×body80valid