Details

Time bar (total: 8.0s)

sample16.0ms

Algorithm
intervals
Results
3.0ms256×body80valid
3.0ms251×body80nan

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
044
154
done54

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))

rewrite5.0ms

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:
4.0ms
(sqrt (+ x y))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(sqrt (+ x y))

simplify3.0s

Counts
22 → 22
Iterations

Useful iterations: 5 (1.9s)

IterNodesCost
055184
1124160
2288155
3715146
41664142
54057141
done5000141

prune45.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
69×cbrt-prod
44×add-sqr-sqrt
42×*-un-lft-identity
40×sqrt-prod
22×add-cube-cbrt
18×cbrt-div sqrt-div
14×swap-sqr
11×pow1
10×associate-*r* associate-*l*
9×flip3-+ pow1/3 flip-+ distribute-lft-out unswap-sqr
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 128
Calls
4 calls:
24.0ms
(* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y))))
3.0ms
(cbrt (sqrt (+ x y)))
3.0ms
(cbrt (sqrt (+ x y)))
3.0ms
(cbrt (sqrt (+ x y)))

series553.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y))))
132.0ms
(cbrt (sqrt (+ x y)))
128.0ms
(cbrt (sqrt (+ x y)))
135.0ms
(cbrt (sqrt (+ x y)))

simplify1.4s

Counts
140 → 140
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01412042
12881870
27921758
324541623
done50011611

prune295.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (sqrt (- (* x x) (* y y))) (sqrt (- x y)))
3.8b
(- (* x x) (* y y))
18.0b
(sqrt (- (* x x) (* y y)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
80×sqrt-prod
56×times-frac
55×add-sqr-sqrt
54×*-un-lft-identity
38×add-cube-cbrt
19×difference-of-squares
8×associate-/r* distribute-lft-out--
7×associate-/l*
6×sqrt-div
5×add-exp-log add-cbrt-cube add-log-exp
4×pow1 flip3-- flip--
3×expm1-log1p-u log1p-expm1-u
2×associate-/r/ associate-/l/
1×cbrt-undiv sub-neg rem-sqrt-square sqrt-undiv frac-2neg sqrt-pow1 pow1/2 fma-neg diff-log div-exp prod-diff clear-num div-inv
Counts
3 → 125
Calls
3 calls:
12.0ms
(/ (sqrt (- (* x x) (* y y))) (sqrt (- x y)))
3.0ms
(- (* x x) (* y y))
5.0ms
(sqrt (- (* x x) (* y y)))

series142.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(/ (sqrt (- (* x x) (* y y))) (sqrt (- x y)))
32.0ms
(- (* x x) (* y y))
51.0ms
(sqrt (- (* x x) (* y y)))

simplify1.6s

Counts
134 → 134
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01882673
13472382
29292280
333952259
done50012258

prune258.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes78.0ms

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
044
154
done54

end0.0ms

sample439.0ms

Algorithm
intervals
Results
107.0ms8000×body80valid
105.0ms7963×body80nan