Details

Time bar (total: 10.3s)

sample27.0ms

Algorithm
intervals
Results
11.0ms284×body80valid

simplify13.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
187
2117
3137
done137

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (+ x y) (+ y y))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
75×*-un-lft-identity
48×times-frac
39×add-sqr-sqrt add-cube-cbrt
28×distribute-lft-out
15×distribute-rgt-out
12×associate-/r*
distribute-lft1-in count-2 distribute-rgt1-in
associate-/l*
add-exp-log add-cbrt-cube
flip3-+ associate-/r/ flip-+ associate-/l/
pow1 cbrt-undiv expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 82
Calls
1 calls:
38.0ms
(/ (+ x y) (+ y y))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(/ (+ x y) (+ y y))

simplify3.7s

Counts
85 → 85
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
01141089
1241986
2775957
34786955
done5000955

prune145.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma 1/2 (/ x y) 1/2)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma 1/2 (/ x y) 1/2)

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(fma 1/2 (/ x y) 1/2)

simplify2.9s

Counts
13 → 13
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
016110
124107
26995
326395
4169295
done500095

prune34.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite80.0ms

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
flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
associate-*r* associate-*l*
add-exp-log
expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 103
Calls
4 calls:
53.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
5.0ms
(cbrt (+ x y))
9.0ms
(cbrt (+ x y))
9.0ms
(cbrt (+ x y))

series945.0ms

Counts
4 → 12
Calls
4 calls:
321.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
226.0ms
(cbrt (+ x y))
183.0ms
(cbrt (+ x y))
214.0ms
(cbrt (+ x y))

simplify1.0s

Counts
115 → 115
Iterations

Useful iterations: done (999.0ms)

IterNodesCost
01201316
12881186
211681128
done50001104

prune434.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes32.0ms

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
056
done56

end0.0ms

sample770.0ms

Algorithm
intervals
Results
385.0ms9223×body80valid