Details

Time bar (total: 2.1s)

sample16.0ms

Algorithm
intervals
Results
7.0ms361×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0193
1413
2723
3813
4813

prune5.0ms

Filtered
1 candidates to 1 candidates (0.0%)
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))

series95.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(* (fma x x (* x y)) 2.0)
43.0ms
(fma x x (* x y))

simplify85.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
087151
1328132
22434132
35003132

prune54.0ms

Filtered
36 candidates to 25 candidates (30.6%)
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))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
22×associate-*l*
18×associate-*r*
16×sqrt-prod
14×unswap-sqr
12×add-cube-cbrt *-un-lft-identity
10×pow1 add-exp-log add-cbrt-cube
4×pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
1×fma-udef
Counts
3 → 78
Calls
3 calls:
1.0ms
(fma x x (* x y))
10.0ms
(* (* (fma x x (* x y)) (sqrt 2.0)) (sqrt 2.0))
5.0ms
(* (fma x x (* x y)) (sqrt 2.0))

series236.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(fma x x (* x y))
113.0ms
(* (* (fma x x (* x y)) (sqrt 2.0)) (sqrt 2.0))
81.0ms
(* (fma x x (* x y)) (sqrt 2.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0198543
1906455
25001444

prune115.0ms

Filtered
87 candidates to 54 candidates (37.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New85287
Fresh101
Picked011
Done011
Total86490

Merged error: 0.0b

Counts
90 → 4

localize12.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* (pow (sqrt (sqrt 2.0)) 3) x) (+ x y))
0.3b
(* (* (* (pow (sqrt (sqrt 2.0)) 3) x) (+ x y)) (sqrt (sqrt 2.0)))
0.3b
(* (pow (sqrt (sqrt 2.0)) 3) x)

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
157×add-sqr-sqrt
138×associate-*l*
91×unswap-sqr
81×sqrt-prod
51×unpow-prod-down
34×add-exp-log
30×*-un-lft-identity
26×add-cube-cbrt associate-*r*
22×prod-exp
19×pow1 add-cbrt-cube
11×sqr-pow
10×pow-prod-down cbrt-unprod
6×*-commutative
4×associate-*r/
3×expm1-log1p-u pow-to-exp unpow3 pow-exp log1p-expm1-u add-log-exp
2×+-commutative distribute-rgt-in distribute-lft-in flip3-+ associate-*l/ flip-+ distribute-lft-out
Counts
3 → 193
Calls
3 calls:
17.0ms
(* (* (pow (sqrt (sqrt 2.0)) 3) x) (+ x y))
30.0ms
(* (* (* (pow (sqrt (sqrt 2.0)) 3) x) (+ x y)) (sqrt (sqrt 2.0)))
11.0ms
(* (pow (sqrt (sqrt 2.0)) 3) x)

series479.0ms

Counts
3 → 9
Calls
3 calls:
204.0ms
(* (* (pow (sqrt (sqrt 2.0)) 3) x) (+ x y))
131.0ms
(* (* (* (pow (sqrt (sqrt 2.0)) 3) x) (+ x y)) (sqrt (sqrt 2.0)))
144.0ms
(* (pow (sqrt (sqrt 2.0)) 3) x)

simplify155.0ms

Algorithm
egg-herbie
Counts
202 → 202
Iterations

Useful iterations: 2 (128.0ms)

IterNodesCost
06202036
134981838
250011773

prune323.0ms

Filtered
202 candidates to 125 candidates (38.1%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New2011202
Fresh101
Picked101
Done202
Total2051206

Merged error: 0b

Counts
206 → 1

localize8.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune2.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011

Merged error: 0b

Counts
1 → 1

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0176
1176

end0.0ms

sample396.0ms

Algorithm
intervals
Results
230.0ms11046×body80valid