Details

Time bar (total: 1.6s)

sample15.0ms

Algorithm
intervals
Results
4.0ms256×body80valid
1.0ms79×body80nan

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
073
173

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.6b

localize4.0ms

Local error

Found 1 expressions with local error:

22.0b
(sqrt (+ (* x x) y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt
3×sqrt-prod
2×pow1 add-cube-cbrt *-un-lft-identity 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 add-log-exp
Counts
1 → 18
Calls
1 calls:
12.0ms
(sqrt (+ (* x x) y))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(sqrt (+ (* x x) y))

simplify144.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 3 (35.0ms)

IterNodesCost
0126102
137895
2114792
3456790
4500190

prune51.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (+ (* x x) y)))
0.5b
(* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
22.0b
(sqrt (+ (* x x) y))
22.0b
(sqrt (+ (* x x) y))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
82×sqrt-prod
56×add-sqr-sqrt
38×sqrt-pow1
32×sqrt-div
31×pow1
20×add-cube-cbrt *-un-lft-identity pow1/2
15×swap-sqr
9×flip3-+ associate-*r* associate-*l* pow-prod-up flip-+ unswap-sqr
6×add-exp-log add-cbrt-cube
5×pow-prod-down pow-sqr
4×expm1-log1p-u frac-times rem-sqrt-square log1p-expm1-u add-log-exp
2×associate-*r/ associate-*l/ hypot-def
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 144
Calls
4 calls:
12.0ms
(sqrt (sqrt (+ (* x x) y)))
58.0ms
(* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
9.0ms
(sqrt (+ (* x x) y))
9.0ms
(sqrt (+ (* x x) y))

series187.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(sqrt (sqrt (+ (* x x) y)))
36.0ms
(* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
42.0ms
(sqrt (+ (* x x) y))
37.0ms
(sqrt (+ (* x x) y))

simplify48.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0279927
11130856
25001822

prune280.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv expm1-log1p-u associate-*r/ div-exp pow-prod-down *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
13.0ms
(* 1/2 (/ y x))

series16.0ms

Counts
1 → 3
Calls
1 calls:
16.0ms
(* 1/2 (/ y x))

simplify64.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0166134
1729124
22968124
35001124

prune58.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune0.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes151.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 21.4b

bsearch40.0ms

Steps
ItersRangePoint
7
3.2456733756156237e+146
3.0010714770351516e+148
3.1579375708996944e+147
9
-6.9631627878994466e+159
-8.864743291636389e+150
-1.3222442982767814e+154

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0239
1309
2329
3329

end0.0ms

sample402.0ms

Algorithm
intervals
Results
142.0ms8000×body80valid
43.0ms2620×body80nan