Details

Time bar (total: 3.3s)

sample41.0ms

Algorithm
intervals
Results
25.0ms670×body80valid

simplify56.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0258
1418
2678
31198
43098
514948
650018

prune2.0ms

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: 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)

rewrite22.0ms

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:
7.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
4.0ms
(+ (* a a) (* b b))
5.0ms
(* 4.0 (* b b))
5.0ms
(pow (+ (* a a) (* b b)) 2.0)

series227.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
27.0ms
(+ (* a a) (* b b))
28.0ms
(* 4.0 (* b b))
104.0ms
(pow (+ (* a a) (* b b)) 2.0)

simplify41.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0322413
11353379
25001379

prune167.0ms

Filtered
70 candidates to 49 candidates (70.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New68270
Fresh000
Picked101
Done000
Total69271

Merged error: 0.0b

Counts
71 → 2

localize14.0ms

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)))
3.1b
(* (pow a 2) (pow b 2))

rewrite35.0ms

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:
8.0ms
(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
7.0ms
(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
7.0ms
(* 2 (* (pow a 2) (pow b 2)))
8.0ms
(* (pow a 2) (pow b 2))

series178.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
55.0ms
(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
37.0ms
(* 2 (* (pow a 2) (pow b 2)))
34.0ms
(* (pow a 2) (pow b 2))

simplify55.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0375699
11613622
25001616

prune233.0ms

Filtered
113 candidates to 60 candidates (53.1%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1121113
Fresh011
Picked101
Done000
Total1132115

Merged error: 0.0b

Counts
115 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))
0.0b
(+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))
0.0b
(* 2 (* (pow a 2) (pow b 2)))
3.1b
(* (pow a 2) (pow b 2))

rewrite33.0ms

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:
5.0ms
(+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))
8.0ms
(+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))
8.0ms
(* 2 (* (pow a 2) (pow b 2)))
8.0ms
(* (pow a 2) (pow b 2))

series173.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(+ (pow a 4) (* 2 (* (pow a 2) (pow b 2))))
48.0ms
(+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))
39.0ms
(* 2 (* (pow a 2) (pow b 2)))
32.0ms
(* (pow a 2) (pow b 2))

simplify57.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0375699
11610622
25002618

prune255.0ms

Filtered
113 candidates to 60 candidates (53.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1130113
Fresh011
Picked011
Done000
Total1132115

Merged error: 0.0b

Counts
115 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 4.0 (* b b))
0.3b
(pow (+ (* a a) (* b b)) 3)
0.3b
(pow (cbrt (pow (+ (* a a) (* b b)) 3)) 2.0)
26.6b
(cbrt (pow (+ (* a a) (* b b)) 3))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod unpow-prod-down
17×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
11×pow1 add-exp-log
10×add-cbrt-cube
9×cube-prod
6×pow-unpow
4×cube-div add-log-exp sqr-pow
3×cube-mult pow-pow unpow3 associate-*l* pow-prod-down prod-exp cbrt-unprod
2×pow-to-exp cbrt-div flip3-+ pow1/3 pow-exp flip-+
1×associate-*r* *-commutative rem-cbrt-cube rem-cube-cbrt unswap-sqr
Counts
4 → 97
Calls
4 calls:
6.0ms
(* 4.0 (* b b))
5.0ms
(pow (+ (* a a) (* b b)) 3)
8.0ms
(pow (cbrt (pow (+ (* a a) (* b b)) 3)) 2.0)
5.0ms
(cbrt (pow (+ (* a a) (* b b)) 3))

series225.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* 4.0 (* b b))
64.0ms
(pow (+ (* a a) (* b b)) 3)
101.0ms
(pow (cbrt (pow (+ (* a a) (* b b)) 3)) 2.0)
30.0ms
(cbrt (pow (+ (* a a) (* b b)) 3))

simplify50.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0394725
11722674
25001644

prune205.0ms

Filtered
109 candidates to 60 candidates (55.0%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1090109
Fresh000
Picked011
Done011
Total1092111

Merged error: 0.0b

Counts
111 → 2

regimes53.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02310
12510
22510

end0.0ms

sample1.1s

Algorithm
intervals
Results
775.0ms20277×body80valid