Details

Time bar (total: 1.1s)

sample24.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
2.0ms79×body80nan

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
073
173

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 21.6b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) y)
20.1b
(sqrt (+ (* x x) y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
4×add-log-exp
3×pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
2×add-exp-log expm1-log1p-u flip3-+ sqrt-div add-cbrt-cube flip-+ log1p-expm1-u
1×+-commutative rem-sqrt-square fma-def sqrt-pow1 pow1/2 sum-log hypot-def
Counts
2 → 32
Calls
2 calls:
6.0ms
(+ (* x x) y)
7.0ms
(sqrt (+ (* x x) y))

series58.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(+ (* x x) y)
40.0ms
(sqrt (+ (* x x) y))

simplify50.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 3 (47.0ms)

IterNodesCost
0153160
1518146
21716138
35002136

prune71.0ms

Filtered
38 candidates to 32 candidates (84.2%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New35338
Fresh000
Picked101
Done000
Total36339

Merged error: 0b

Counts
39 → 3

localize6.0ms

Local error

Found 1 expressions with local error:

20.1b
(sqrt (fma x x y))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt sqrt-prod
2×pow1 add-cube-cbrt *-un-lft-identity
1×add-exp-log expm1-log1p-u rem-sqrt-square sqrt-pow1 pow1/2 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
1 → 15
Calls
1 calls:
1.0ms
(sqrt (fma x x y))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(sqrt (fma x x y))

simplify82.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 3 (19.0ms)

IterNodesCost
07664
118559
261658
3252556
4500156

prune30.0ms

Filtered
18 candidates to 13 candidates (72.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New18018
Fresh022
Picked011
Done000
Total18321

Merged error: 0b

Counts
21 → 3

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

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:
6.0ms
(* 1/2 (/ y x))

series17.0ms

Counts
1 → 3
Calls
1 calls:
17.0ms
(* 1/2 (/ y x))

simplify61.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0166134
1729124
22968124
35001124

prune49.0ms

Filtered
37 candidates to 26 candidates (70.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New37037
Fresh011
Picked011
Done011
Total37340

Merged error: 0b

Counts
40 → 3

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify4.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done022
Total033

Merged error: 0b

Counts
3 → 3

regimes87.0ms

Accuracy

99.1% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 21.1b

bsearch62.0ms

Steps
ItersRangePoint
7
5.777920486632989e+96
1.0360182301372079e+99
8.910291731607776e+98
8
-2.9980302389965735e+156
-3.605266790381871e+152
-1.3322539688256998e+154

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0218
1288
2308
3308

end0.0ms

sample422.0ms

Algorithm
intervals
Results
174.0ms8000×body80valid
54.0ms2694×body80nan