Details

Time bar (total: 1.7s)

sample25.0ms

Algorithm
intervals
Results
14.0ms443×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0164
1333
2413
3413

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 2.0) (* x x))
0.0b
(+ (+ (* x 2.0) (* x x)) (* y y))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
5×fma-def
4×sum-log
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
2×pow1 add-exp-log +-commutative expm1-log1p-u flip3-+ add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out
1×associate-+l+
Counts
2 → 34
Calls
2 calls:
3.0ms
(+ (* x 2.0) (* x x))
6.0ms
(+ (+ (* x 2.0) (* x x)) (* y y))

series84.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(+ (* x 2.0) (* x x))
33.0ms
(+ (+ (* x 2.0) (* x x)) (* y y))

simplify101.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
0196206
1967178
24173167
35001166

prune68.0ms

Filtered
40 candidates to 31 candidates (77.5%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New38240
Fresh101
Picked101
Done000
Total40242

Merged error: 0b

Counts
42 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma 2.0 x (fma x x (* y y)))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma 2.0 x (fma x x (* y y)))

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(fma 2.0 x (fma x x (* y y)))

simplify56.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03661
18451
234051
3183651
4500151

prune27.0ms

Filtered
13 candidates to 11 candidates (84.6%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New12113
Fresh101
Picked011
Done000
Total13215

Merged error: 0b

Counts
15 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 2.0 x (fma x x (* y y)))
0.0b
(sqrt (fma 2.0 x (fma x x (* y y))))
0.0b
(sqrt (fma 2.0 x (fma x x (* y y))))
0.1b
(* (sqrt (fma 2.0 x (fma x x (* y y)))) (sqrt (fma 2.0 x (fma x x (* y y)))))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod fma-udef
Counts
4 → 91
Calls
4 calls:
1.0ms
(fma 2.0 x (fma x x (* y y)))
1.0ms
(sqrt (fma 2.0 x (fma x x (* y y))))
1.0ms
(sqrt (fma 2.0 x (fma x x (* y y))))
6.0ms
(* (sqrt (fma 2.0 x (fma x x (* y y)))) (sqrt (fma 2.0 x (fma x x (* y y)))))

series321.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(fma 2.0 x (fma x x (* y y)))
117.0ms
(sqrt (fma 2.0 x (fma x x (* y y))))
119.0ms
(sqrt (fma 2.0 x (fma x x (* y y))))
47.0ms
(* (sqrt (fma 2.0 x (fma x x (* y y)))) (sqrt (fma 2.0 x (fma x x (* y y)))))

simplify146.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 3 (137.0ms)

IterNodesCost
0141553
1523489
23389469
35002454

prune156.0ms

Filtered
103 candidates to 62 candidates (60.2%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1030103
Fresh000
Picked011
Done011
Total1032105

Merged error: 0b

Counts
105 → 2

regimes36.0ms

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
063

end0.0ms

sample632.0ms

Algorithm
intervals
Results
402.0ms14279×body80valid