Details

Time bar (total: 1.8s)

sample16.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
1.0ms69×body80nan

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
063
163

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.8b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) y)
19.3b
(sqrt (+ (* x x) y))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt add-log-exp
3×pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
2×add-exp-log flip3-+ sqrt-div add-cbrt-cube flip-+
1×+-commutative rem-sqrt-square sqrt-pow1 pow1/2 sum-log
Counts
2 → 26
Calls
2 calls:
7.0ms
(+ (* x x) y)
9.0ms
(sqrt (+ (* x x) y))

series64.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(+ (* x x) y)
45.0ms
(sqrt (+ (* x x) y))

simplify51.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (47.0ms)

IterNodesCost
0141152
1475139
21515138
35002136

prune72.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (sqrt (+ (* x x) y)))
0.5b
(* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
19.3b
(sqrt (+ (* x x) y))
19.3b
(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)))
58.0ms
(* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
14.0ms
(sqrt (+ (* x x) y))
9.0ms
(sqrt (+ (* x x) y))

series191.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(sqrt (sqrt (+ (* x x) y)))
38.0ms
(* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
43.0ms
(sqrt (+ (* x x) y))
37.0ms
(sqrt (+ (* x x) y))

simplify49.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0265901
11063835
25001816

prune243.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
6.0ms
(+ x (* 1/2 (/ y x)))

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(+ x (* 1/2 (/ y x)))

simplify115.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
08376
129769
2110169
3389169
4500169

prune22.0ms

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
(+ x (* 1/2 (/ y x)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
6.0ms
(+ x (* 1/2 (/ y x)))

series21.0ms

Counts
1 → 3
Calls
1 calls:
21.0ms
(+ x (* 1/2 (/ y x)))

simplify106.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
08376
129769
2110169
3389169
4500169

prune24.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes148.0ms

Accuracy

99.7% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 20.7b

bsearch47.0ms

Steps
ItersRangePoint
10
3.2749400383224745e+114
1.3231026870335082e+126
9.209036551017204e+124
9
-1.8797925544767705e+149
-1.2490935511494397e+143
-7.839483098530447e+148

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02210
12910
23110
33110

end0.0ms

sample423.0ms

Algorithm
intervals
Results
142.0ms8000×body80valid
46.0ms2687×body80nan