Details

Time bar (total: 1.7s)

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
063
163

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))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt sqrt-prod
2×pow1 add-cube-cbrt *-un-lft-identity sqrt-div
1×add-exp-log rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 add-cbrt-cube flip-+ add-log-exp
Counts
1 → 15
Calls
1 calls:
10.0ms
(sqrt (+ (* x x) y))

series41.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(sqrt (+ (* x x) y))

simplify136.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 3 (32.0ms)

IterNodesCost
011695
133490
299789
3396987
4500287

prune42.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

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))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
82×sqrt-prod
54×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×frac-times rem-sqrt-square add-log-exp
2×associate-*r/ associate-*l/
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 134
Calls
4 calls:
10.0ms
(sqrt (sqrt (+ (* x x) y)))
62.0ms
(* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
9.0ms
(sqrt (+ (* x x) y))
10.0ms
(sqrt (+ (* x x) y))

series180.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(sqrt (sqrt (+ (* x x) y)))
36.0ms
(* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
35.0ms
(sqrt (+ (* x x) y))
39.0ms
(sqrt (+ (* x x) y))

simplify46.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0264901
11062835
25001816

prune240.0ms

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))

rewrite18.0ms

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 associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
17.0ms
(* 1/2 (/ y x))

series16.0ms

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

simplify64.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0164128
1727118
22966118
35001118

prune55.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

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 associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
14.0ms
(* 1/2 (/ y x))

series15.0ms

Counts
1 → 3
Calls
1 calls:
15.0ms
(* 1/2 (/ y x))

simplify66.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0164128
1727118
22966118
35001118

prune48.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes150.0ms

Accuracy

99.9% (0.0b remaining)

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

bsearch38.0ms

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
02210
12910
23110
33110

end0.0ms

sample405.0ms

Algorithm
intervals
Results
132.0ms8000×body80valid
49.0ms2620×body80nan