Details

Time bar (total: 2.1s)

sample15.0ms

Algorithm
intervals
Results
7.0ms363×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0193
1413
2723
3813
4813

prune4.0ms

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

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
associate-*r* associate-*l*
expm1-log1p-u log1p-expm1-u add-log-exp
pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
2 → 30
Calls
2 calls:
1.0ms
(fma x x (* x y))
4.0ms
(* (fma x x (* x y)) 2.0)

series86.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(fma x x (* x y))
51.0ms
(* (fma x x (* x y)) 2.0)

simplify66.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
087151
1328132
22448132
35001132

prune51.0ms

Filtered
36 candidates to 25 candidates (69.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New33336
Fresh000
Picked011
Done000
Total33437

Merged error: 0b

Counts
37 → 4

localize8.0ms

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt associate-*r*
10×pow1 add-exp-log add-cbrt-cube
add-cube-cbrt *-un-lft-identity
sqrt-prod
associate-*l* pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u log1p-expm1-u add-log-exp
*-commutative unswap-sqr
fma-udef
Counts
3 → 57
Calls
3 calls:
1.0ms
(fma x x (* x y))
5.0ms
(* (fma x x (* x y)) (sqrt 2.0))
9.0ms
(* (* (fma x x (* x y)) (sqrt 2.0)) (sqrt 2.0))

series216.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(fma x x (* x y))
75.0ms
(* (fma x x (* x y)) (sqrt 2.0))
107.0ms
(* (* (fma x x (* x y)) (sqrt 2.0)) (sqrt 2.0))

simplify36.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0173375
1871319
25001312

prune96.0ms

Filtered
66 candidates to 41 candidates (62.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New66066
Fresh022
Picked011
Done011
Total66470

Merged error: 0b

Counts
70 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (fma x x (* x y)) (* (cbrt 2.0) (cbrt 2.0)))
1.0b
(cbrt 2.0)
1.0b
(cbrt 2.0)
1.0b
(cbrt 2.0)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log cbrt-prod add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
add-cbrt-cube
expm1-log1p-u log1p-expm1-u add-log-exp
pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
associate-*r* *-commutative unswap-sqr
Counts
4 → 60
Calls
4 calls:
7.0ms
(* (fma x x (* x y)) (* (cbrt 2.0) (cbrt 2.0)))
1.0ms
(cbrt 2.0)
1.0ms
(cbrt 2.0)
1.0ms
(cbrt 2.0)

series114.0ms

Counts
4 → 6
Calls
4 calls:
114.0ms
(* (fma x x (* x y)) (* (cbrt 2.0) (cbrt 2.0)))
0.0ms
(cbrt 2.0)
0.0ms
(cbrt 2.0)
0.0ms
(cbrt 2.0)

simplify62.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0116300
1430261
21912253
35002253

prune126.0ms

Filtered
66 candidates to 53 candidates (80.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New66066
Fresh011
Picked011
Done022
Total66470

Merged error: 0b

Counts
70 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (fma x x (* x y)) 2.0)
0.3b
(* (sqrt (* (fma x x (* x y)) 2.0)) (sqrt (* (fma x x (* x y)) 2.0)))
7.6b
(sqrt (* (fma x x (* x y)) 2.0))
7.6b
(sqrt (* (fma x x (* x y)) 2.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
14×add-sqr-sqrt
12×pow1/2
10×add-cube-cbrt *-un-lft-identity pow-prod-up
add-exp-log add-cbrt-cube
associate-*r* associate-*l*
sqrt-prod pow-sqr
expm1-log1p-u swap-sqr log1p-expm1-u add-log-exp
prod-exp *-commutative cbrt-unprod unswap-sqr
pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 97
Calls
4 calls:
3.0ms
(* (fma x x (* x y)) 2.0)
8.0ms
(* (sqrt (* (fma x x (* x y)) 2.0)) (sqrt (* (fma x x (* x y)) 2.0)))
2.0ms
(sqrt (* (fma x x (* x y)) 2.0))
2.0ms
(sqrt (* (fma x x (* x y)) 2.0))

series447.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* (fma x x (* x y)) 2.0)
105.0ms
(* (sqrt (* (fma x x (* x y)) 2.0)) (sqrt (* (fma x x (* x y)) 2.0)))
132.0ms
(sqrt (* (fma x x (* x y)) 2.0))
158.0ms
(sqrt (* (fma x x (* x y)) 2.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0227521
11055458
25002420

prune152.0ms

Filtered
109 candidates to 64 candidates (58.7%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1090109
Fresh000
Picked011
Done033
Total1094113

Merged error: 0b

Counts
113 → 4

regimes34.0ms

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

sample406.0ms

Algorithm
intervals
Results
237.0ms11327×body80valid

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