Details

Time bar (total: 1.7s)

sample193.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 60.9375%

Guaranteed chance to sample good point: 96.28125%

Results
13.0ms256×body80valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0258
1418
2678
31198
43098
514948
650018

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
0.0b
(+ (* a a) (* b b))
0.0b
(* 4.0 (* b b))
0.3b
(pow (+ (* a a) (* b b)) 2.0)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log
9×add-cbrt-cube
8×add-sqr-sqrt add-log-exp
7×add-cube-cbrt *-un-lft-identity
3×unpow-prod-down pow-unpow associate-*l* pow-prod-down prod-exp cbrt-unprod
2×+-commutative flip3-+ sum-log flip-+
1×pow-to-exp pow-pow associate-*r* pow-exp *-commutative unswap-sqr sqr-pow
Counts
4 → 58
Calls
4 calls:
6.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
3.0ms
(+ (* a a) (* b b))
5.0ms
(* 4.0 (* b b))
4.0ms
(pow (+ (* a a) (* b b)) 2.0)

series46.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
7.0ms
(+ (* a a) (* b b))
3.0ms
(* 4.0 (* b b))
21.0ms
(pow (+ (* a a) (* b b)) 2.0)

simplify43.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0366432
11534398
25001390

prune100.0ms

Filtered
49 candidates to 70 candidates (-42.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New69170
Fresh000
Picked011
Done000
Total69271

Merged error: 0b

Counts
71 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
0.0b
(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
0.0b
(* 2 (* (pow a 2) (pow b 2)))
2.5b
(* (pow a 2) (pow b 2))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
39×add-exp-log
28×prod-exp
25×add-sqr-sqrt
16×unswap-sqr
14×unpow-prod-down
12×pow-to-exp pow-exp
11×*-un-lft-identity associate-*l* add-cbrt-cube add-log-exp
10×unpow2 sqr-pow
9×add-cube-cbrt associate-*r*
6×pow1
4×sum-log cbrt-unprod
2×+-commutative flip3-+ pow-prod-down *-commutative flip-+
1×associate-+r+ distribute-lft-out
Counts
4 → 101
Calls
4 calls:
7.0ms
(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
4.0ms
(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
7.0ms
(* 2 (* (pow a 2) (pow b 2)))
7.0ms
(* (pow a 2) (pow b 2))

series34.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
9.0ms
(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
8.0ms
(* 2 (* (pow a 2) (pow b 2)))
6.0ms
(* (pow a 2) (pow b 2))

simplify58.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0375699
11613621
25001616

prune163.0ms

Filtered
60 candidates to 113 candidates (-88.3%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1130113
Fresh000
Picked011
Done011
Total1132115

Merged error: 0b

Counts
115 → 2

regimes217.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0158
1158

end0.0ms

sample736.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 60.9375%

Guaranteed chance to sample good point: 96.28125%

Results
373.0ms8000×body80valid

Profiling

Loading profile data...