Details

Time bar (total: 2.9s)

sample46.0ms

Algorithm
intervals
Results
31.0ms626×body80valid

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0268
1518
2887
31537
43577
515727
650027

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.2b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (pow (+ (* a a) (* b b)) 2.0) 1.0)
0.4b
(pow (+ (* a a) (* b b)) 2.0)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
21×*-un-lft-identity prod-diff
19×add-cube-cbrt
16×unpow-prod-down
fma-neg
sqr-pow
add-log-exp
pow1 add-exp-log pow-unpow difference-of-squares
expm1-log1p-u add-cbrt-cube log1p-expm1-u
pow-to-exp sub-neg flip3-- pow-pow diff-log pow-exp flip-- distribute-lft-out--
Counts
2 → 65
Calls
2 calls:
8.0ms
(- (pow (+ (* a a) (* b b)) 2.0) 1.0)
5.0ms
(pow (+ (* a a) (* b b)) 2.0)

series156.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(- (pow (+ (* a a) (* b b)) 2.0) 1.0)
101.0ms
(pow (+ (* a a) (* b b)) 2.0)

simplify146.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (138.0ms)

IterNodesCost
0247706
1850507
24185473
35001442

prune143.0ms

Filtered
71 candidates to 47 candidates (66.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New69271
Fresh000
Picked011
Done000
Total69372

Merged error: 0b

Counts
72 → 3

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (pow (hypot a b) (* 2 2.0)) 1.0)
0.0b
(pow (hypot a b) (* 2 2.0))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×prod-diff
20×*-un-lft-identity
18×add-cube-cbrt
16×unpow-prod-down
fma-neg
sqr-pow
add-log-exp
pow1 add-exp-log difference-of-squares
expm1-log1p-u add-cbrt-cube log1p-expm1-u
pow-to-exp sub-neg pow-unpow hypot-udef flip3-- pow-pow diff-log pow-exp sqrt-pow2 flip-- distribute-lft-out--
Counts
2 → 64
Calls
2 calls:
7.0ms
(- (pow (hypot a b) (* 2 2.0)) 1.0)
2.0ms
(pow (hypot a b) (* 2 2.0))

series204.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(- (pow (hypot a b) (* 2 2.0)) 1.0)
126.0ms
(pow (hypot a b) (* 2 2.0))

simplify138.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (130.0ms)

IterNodesCost
0241610
1860432
24332403
35001377

prune138.0ms

Filtered
70 candidates to 45 candidates (64.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New70070
Fresh011
Picked011
Done011
Total70373

Merged error: 0b

Counts
73 → 3

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4)) 1.0)
0.0b
(* 2.0 (pow a 2))
0.8b
(fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
15×*-un-lft-identity
13×add-cube-cbrt
prod-diff
add-exp-log associate-*r*
add-cbrt-cube add-log-exp
unpow-prod-down unswap-sqr
pow1 expm1-log1p-u fma-neg associate-*l* prod-exp log1p-expm1-u
fma-udef unpow2 sqr-pow
pow-to-exp sub-neg flip3-- diff-log pow-exp associate--l+ *-commutative flip-- cbrt-unprod distribute-lft-out-- difference-of-squares
Counts
3 → 68
Calls
3 calls:
4.0ms
(- (fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4)) 1.0)
6.0ms
(* 2.0 (pow a 2))
1.0ms
(fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4))

series177.0ms

Counts
3 → 9
Calls
3 calls:
78.0ms
(- (fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4)) 1.0)
25.0ms
(* 2.0 (pow a 2))
73.0ms
(fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4))

simplify39.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0242562
1919453
25001449

prune177.0ms

Filtered
77 candidates to 51 candidates (66.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New77077
Fresh000
Picked011
Done022
Total77380

Merged error: 0b

Counts
80 → 3

regimes49.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0178
1178

end0.0ms

sample1.3s

Algorithm
intervals
Results
948.0ms20286×body80valid