Details

Time bar (total: 3.1s)

sample20.0ms

Algorithm
intervals
Results
4.0ms307×body80nan
3.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
052
152
done52

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(sqrt (+ x y))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
4×*-un-lft-identity sqrt-prod
2×pow1 add-cube-cbrt sqrt-div
1×add-exp-log expm1-log1p-u rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 add-cbrt-cube flip-+ hypot-def log1p-expm1-u distribute-lft-out add-log-exp
Counts
1 → 19
Calls
1 calls:
7.0ms
(sqrt (+ x y))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(sqrt (+ x y))

simplify71.0ms

Counts
22 → 22
Iterations

Useful iterations: 3 (25.0ms)

IterNodesCost
012295
130386
296983
3287778
4500278
done500278

prune41.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (cbrt (+ x y)))
0.3b
(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
18×cbrt-prod
16×sqrt-prod
12×add-cube-cbrt
10×associate-*r*
8×cbrt-div
7×pow1
6×add-exp-log add-cbrt-cube
4×expm1-log1p-u flip3-+ sqrt-div flip-+ log1p-expm1-u distribute-lft-out add-log-exp
3×pow1/3 associate-*l* unswap-sqr
2×rem-sqrt-square sqrt-pow1 associate-*r/
1×pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 86
Calls
4 calls:
8.0ms
(sqrt (cbrt (+ x y)))
25.0ms
(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
4.0ms
(cbrt (+ x y))
4.0ms
(cbrt (+ x y))

series587.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(sqrt (cbrt (+ x y)))
188.0ms
(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
124.0ms
(cbrt (+ x y))
128.0ms
(cbrt (+ x y))

simplify117.0ms

Counts
98 → 98
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0325657
11094622
24451614
35001614
done5001614

prune237.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

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:
4.0ms
(cbrt (+ x y))
4.0ms
(cbrt (+ x y))
4.0ms
(cbrt (cbrt (+ x y)))
13.0ms
(cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))

series901.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(cbrt (+ x y))
133.0ms
(cbrt (+ x y))
197.0ms
(cbrt (cbrt (+ x y)))
442.0ms
(cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))

simplify79.0ms

Counts
82 → 82
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0298572
1806540
22980530
35001530
done5001530

prune296.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes68.0ms

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
052
152
done52

end0.0ms

sample526.0ms

Algorithm
intervals
Results
106.0ms8000×body80valid
99.0ms8018×body80nan