Details

Time bar (total: 2.8s)

sample47.0ms

Algorithm
intervals
Results
31.0ms626×body80valid

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0258
1418
2678
31198
43098
514948
650018

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: 0.2b

Counts
2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
0.0b
(* 4.0 (* b b))
0.4b
(pow (+ (* a a) (* b b)) 2.0)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log
8×add-cbrt-cube
7×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
5×add-log-exp
3×unpow-prod-down pow-unpow associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative pow-to-exp pow-pow flip3-+ associate-*r* pow-exp sum-log *-commutative flip-+ unswap-sqr sqr-pow
Counts
3 → 47
Calls
3 calls:
7.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
5.0ms
(* 4.0 (* b b))
5.0ms
(pow (+ (* a a) (* b b)) 2.0)

series196.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
24.0ms
(* 4.0 (* b b))
103.0ms
(pow (+ (* a a) (* b b)) 2.0)

simplify113.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0249342
1939315
23534315
35001315

prune111.0ms

Filtered
56 candidates to 39 candidates (69.6%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New54256
Fresh000
Picked101
Done000
Total55257

Merged error: 0b

Counts
57 → 2

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))) 1.0)
0.0b
(* 2 (* (pow a 2) (pow b 2)))
1.4b
(* (pow a 2) (pow b 2))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
38×add-exp-log
28×prod-exp
26×add-sqr-sqrt
16×unswap-sqr
14×unpow-prod-down
13×*-un-lft-identity
12×pow-to-exp pow-exp add-log-exp
11×associate-*l*
10×add-cbrt-cube unpow2 sqr-pow
9×associate-*r*
8×add-cube-cbrt
5×pow1
4×cbrt-unprod
3×diff-log sum-log
2×pow-prod-down *-commutative distribute-lft-out--
1×sub-neg flip3-- associate--l+ flip-- distribute-lft-out difference-of-squares
Counts
3 → 94
Calls
3 calls:
11.0ms
(- (+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))) 1.0)
7.0ms
(* 2 (* (pow a 2) (pow b 2)))
8.0ms
(* (pow a 2) (pow b 2))

series125.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(- (+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))) 1.0)
35.0ms
(* 2 (* (pow a 2) (pow b 2)))
36.0ms
(* (pow a 2) (pow b 2))

simplify48.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0327656
11353573
25002554

prune160.0ms

Filtered
103 candidates to 51 candidates (49.5%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1030103
Fresh011
Picked011
Done000
Total1032105

Merged error: 0b

Counts
105 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (* b b)))
0.0b
(* 2.0 (* (pow a 2) (pow b 2)))
0.0b
(* 4.0 (* b b))
1.4b
(* (pow a 2) (pow b 2))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
44×add-exp-log
31×prod-exp
27×add-sqr-sqrt
17×unswap-sqr
16×add-cbrt-cube
14×unpow-prod-down associate-*l*
12×pow-to-exp pow-exp
11×pow1
10×add-cube-cbrt *-un-lft-identity associate-*r* unpow2 sqr-pow
9×add-log-exp
7×cbrt-unprod
5×pow-prod-down
3×sum-log *-commutative
1×+-commutative associate-+l+ flip3-+ flip-+
Counts
4 → 108
Calls
4 calls:
7.0ms
(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (* b b)))
8.0ms
(* 2.0 (* (pow a 2) (pow b 2)))
5.0ms
(* 4.0 (* b b))
8.0ms
(* (pow a 2) (pow b 2))

series159.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (* b b)))
36.0ms
(* 2.0 (* (pow a 2) (pow b 2)))
28.0ms
(* 4.0 (* b b))
31.0ms
(* (pow a 2) (pow b 2))

simplify57.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0400683
11741575
25002568

prune186.0ms

Filtered
120 candidates to 61 candidates (50.8%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1200120
Fresh000
Picked011
Done011
Total1202122

Merged error: 0b

Counts
122 → 2

regimes27.0ms

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0189
1189

end0.0ms

sample1.3s

Algorithm
intervals
Results
973.0ms20286×body80valid