Details

Time bar (total: 9.4s)

sample22.0ms

Algorithm
intervals
Results
5.0ms309×body80nan
4.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done5
15
04

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(sqrt (+ x y))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
4×*-un-lft-identity sqrt-prod
2×pow1 sqrt-div add-cube-cbrt
1×expm1-log1p-u rem-sqrt-square sqrt-pow1 flip3-+ add-cbrt-cube pow1/2 add-exp-log flip-+ hypot-def log1p-expm1-u distribute-lft-out add-log-exp
Counts
1 → 19
Calls
1 calls:
6.0ms
(sqrt (+ x y))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(sqrt (+ x y))

simplify1.9s

Counts
22 → 22
Iterations
IterNodes
done5001
42131
3828
2295
1124
055

prune125.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x y))
0.1b
(sqrt (sqrt (+ x y)))
0.1b
(sqrt (sqrt (+ x y)))
0.5b
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
110×sqrt-prod
58×add-sqr-sqrt
41×*-un-lft-identity sqrt-pow1
34×sqrt-div
32×pow1
21×pow1/2 add-cube-cbrt
18×swap-sqr
10×associate-*r* associate-*l*
9×flip3-+ pow-prod-up flip-+ distribute-lft-out unswap-sqr
6×add-cbrt-cube add-exp-log
5×rem-sqrt-square pow-prod-down pow-sqr
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp
2×associate-*l/ associate-*r/
1×pow2 rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod hypot-def
Counts
4 → 157
Calls
4 calls:
10.0ms
(sqrt (+ x y))
11.0ms
(sqrt (sqrt (+ x y)))
12.0ms
(sqrt (sqrt (+ x y)))
70.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

series547.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(sqrt (+ x y))
235.0ms
(sqrt (sqrt (+ x y)))
199.0ms
(sqrt (sqrt (+ x y)))
48.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

simplify2.2s

Counts
169 → 169
Iterations
IterNodes
done5014
32435
2857
1370
0168

prune452.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

1.9b
(fma (* x x) x (* y (* y y)))
19.0b
(/ (sqrt (fma (* x x) x (* y (* y y)))) (sqrt (fma y (- y x) (* x x))))
20.1b
(sqrt (fma (* x x) x (* y (* y y))))
26.9b
(sqrt (fma y (- y x) (* x x)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
48×sqrt-prod
36×add-sqr-sqrt times-frac
34×*-un-lft-identity add-cube-cbrt
6×pow1 associate-/r* add-cbrt-cube add-exp-log associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2
1×cbrt-undiv sqrt-undiv clear-num frac-2neg div-exp fma-udef div-inv
Counts
4 → 103
Calls
4 calls:
0.0ms
(fma (* x x) x (* y (* y y)))
7.0ms
(/ (sqrt (fma (* x x) x (* y (* y y)))) (sqrt (fma y (- y x) (* x x))))
1.0ms
(sqrt (fma (* x x) x (* y (* y y))))
2.0ms
(sqrt (fma y (- y x) (* x x)))

series388.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(fma (* x x) x (* y (* y y)))
123.0ms
(/ (sqrt (fma (* x x) x (* y (* y y)))) (sqrt (fma y (- y x) (* x x))))
108.0ms
(sqrt (fma (* x x) x (* y (* y y))))
77.0ms
(sqrt (fma y (- y x) (* x x)))

simplify1.8s

Counts
115 → 115
Iterations
IterNodes
done5000
32138
2696
1294
0155

prune620.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes198.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done5
15
04

end0.0ms

sample890.0ms

Algorithm
intervals
Results
247.0ms8097×body80nan
198.0ms8000×body80valid