Details

Time bar (total: 2.3s)

sample18.0ms

Algorithm
intervals
Results
9.0ms351×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0193
1413
2723
3813
4813

prune8.0ms

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: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×associate-*r* associate-*l*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
2 → 30
Calls
2 calls:
3.0ms
(* (fma x x (* x y)) 2.0)
1.0ms
(fma x x (* x y))

series93.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(* (fma x x (* x y)) 2.0)
38.0ms
(fma x x (* x y))

simplify64.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
087151
1328132
22448132
35001132

prune54.0ms

Filtered
36 candidates to 25 candidates (69.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New34236
Fresh000
Picked011
Done000
Total34337

Merged error: 0.0b

Counts
37 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x x (* x y))
0.4b
(* (* (fma x x (* x y)) (sqrt 2.0)) (sqrt 2.0))
0.4b
(* (fma x x (* x y)) (sqrt 2.0))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt associate-*r*
10×pow1 add-exp-log add-cbrt-cube
8×add-cube-cbrt *-un-lft-identity
7×sqrt-prod
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×*-commutative unswap-sqr
1×fma-udef
Counts
3 → 57
Calls
3 calls:
1.0ms
(fma x x (* x y))
7.0ms
(* (* (fma x x (* x y)) (sqrt 2.0)) (sqrt 2.0))
5.0ms
(* (fma x x (* x y)) (sqrt 2.0))

series231.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(fma x x (* x y))
114.0ms
(* (* (fma x x (* x y)) (sqrt 2.0)) (sqrt 2.0))
81.0ms
(* (fma x x (* x y)) (sqrt 2.0))

simplify44.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0173375
1871319
25002312

prune97.0ms

Filtered
66 candidates to 41 candidates (62.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New65166
Fresh101
Picked011
Done011
Total66369

Merged error: 0.0b

Counts
69 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma x x (* x y))
0.3b
(* (* (fma x x (* x y)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
0.3b
(* (fma x x (* x y)) (sqrt (sqrt 2.0)))
0.4b
(* (* (* (fma x x (* x y)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sqrt 2.0))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
24×associate-*r* sqrt-prod
20×pow1 add-exp-log add-cbrt-cube
19×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
10×pow-prod-down prod-exp cbrt-unprod
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative unswap-sqr
1×fma-udef
Counts
4 → 90
Calls
4 calls:
1.0ms
(fma x x (* x y))
9.0ms
(* (* (fma x x (* x y)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
6.0ms
(* (fma x x (* x y)) (sqrt (sqrt 2.0)))
12.0ms
(* (* (* (fma x x (* x y)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sqrt 2.0))

series365.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(fma x x (* x y))
86.0ms
(* (* (fma x x (* x y)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
120.0ms
(* (fma x x (* x y)) (sqrt (sqrt 2.0)))
121.0ms
(* (* (* (fma x x (* x y)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sqrt 2.0))

simplify63.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0273804
11525648
25003613

prune162.0ms

Filtered
102 candidates to 58 candidates (56.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1011102
Fresh000
Picked101
Done022
Total1023105

Merged error: 0b

Counts
105 → 3

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x x (* x y))
0.3b
(* (fma x x (* x y)) (sqrt (sqrt 2.0)))
0.3b
(* (* (fma x x (* x y)) (sqrt (sqrt 2.0))) (pow (sqrt (sqrt 2.0)) 3))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
33×associate-*r*
30×sqrt-prod
20×add-sqr-sqrt
18×add-exp-log
14×add-cube-cbrt *-un-lft-identity
10×prod-exp add-cbrt-cube
9×unpow-prod-down cube-prod
5×pow1
4×associate-*l* cbrt-unprod
3×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
2×pow-to-exp pow-exp *-commutative
1×cube-mult unpow3 pow-prod-down fma-udef sqr-pow
Counts
3 → 81
Calls
3 calls:
1.0ms
(fma x x (* x y))
6.0ms
(* (fma x x (* x y)) (sqrt (sqrt 2.0)))
12.0ms
(* (* (fma x x (* x y)) (sqrt (sqrt 2.0))) (pow (sqrt (sqrt 2.0)) 3))

series280.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(fma x x (* x y))
119.0ms
(* (fma x x (* x y)) (sqrt (sqrt 2.0)))
124.0ms
(* (* (fma x x (* x y)) (sqrt (sqrt 2.0))) (pow (sqrt (sqrt 2.0)) 3))

simplify59.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0286724
11544594
25003554

prune140.0ms

Filtered
90 candidates to 47 candidates (52.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New90090
Fresh000
Picked011
Done022
Total90393

Merged error: 0b

Counts
93 → 3

regimes28.0ms

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
083
183

end0.0ms

sample462.0ms

Algorithm
intervals
Results
292.0ms11088×body80valid

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