Details

Time bar (total: 15.0s)

sample38.0ms

Algorithm
intervals
Results
23.0ms622×body80valid

simplify4.5s

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
01217
12616
24915
38015
413615
528515
6100215
7468115
done500015

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0))
0.0b
(fma a a (* b b))
0.3b
(pow (fma a a (* b b)) 2.0)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log
3×expm1-log1p-u unpow-prod-down pow-unpow add-cbrt-cube log1p-expm1-u add-log-exp
2×fma-udef
1×pow-to-exp pow-pow pow-exp sqr-pow
Counts
3 → 39
Calls
3 calls:
0.0ms
(fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0))
0.0ms
(fma a a (* b b))
1.0ms
(pow (fma a a (* b b)) 2.0)

series207.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0))
34.0ms
(fma a a (* b b))
106.0ms
(pow (fma a a (* b b)) 2.0)

simplify1.2s

Counts
48 → 48
Iterations

Useful iterations: 3 (231.0ms)

IterNodesCost
079580
1148561
2457493
31876488
done5000488

prune152.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (* 4.0 b) b (* (pow (hypot b a) 2.0) (pow (hypot b a) 2.0)))
0.0b
(pow (hypot b a) 2.0)
0.0b
(pow (hypot b a) 2.0)
0.3b
(* (pow (hypot b a) 2.0) (pow (hypot b a) 2.0))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×unpow-prod-down
18×add-exp-log
16×add-cube-cbrt *-un-lft-identity
12×sqr-pow
9×prod-exp unswap-sqr
8×pow-to-exp pow-exp
7×swap-sqr associate-*r* associate-*l*
6×pow1 pow-unpow add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×hypot-udef pow-pow sqrt-pow2
1×pow2 pow-prod-down pow-sqr *-commutative pow-prod-up cbrt-unprod fma-udef
Counts
4 → 104
Calls
4 calls:
0.0ms
(fma (* 4.0 b) b (* (pow (hypot b a) 2.0) (pow (hypot b a) 2.0)))
1.0ms
(pow (hypot b a) 2.0)
1.0ms
(pow (hypot b a) 2.0)
9.0ms
(* (pow (hypot b a) 2.0) (pow (hypot b a) 2.0))

series502.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(fma (* 4.0 b) b (* (pow (hypot b a) 2.0) (pow (hypot b a) 2.0)))
116.0ms
(pow (hypot b a) 2.0)
114.0ms
(pow (hypot b a) 2.0)
166.0ms
(* (pow (hypot b a) 2.0) (pow (hypot b a) 2.0))

simplify3.5s

Counts
116 → 116
Iterations

Useful iterations: 3 (831.0ms)

IterNodesCost
01221560
12381243
28511142
346561122
done50001122

prune287.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (* 4.0 b) b (* (pow 1 2.0) (pow (hypot b a) (* 2 2.0))))
0.0b
(hypot b a)
0.0b
(pow (hypot b a) (* 2 2.0))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×expm1-log1p-u unpow-prod-down add-cbrt-cube log1p-expm1-u add-log-exp
2×hypot-udef
1×pow-to-exp pow-unpow pow-pow pow-exp sqrt-pow2 fma-udef sqr-pow
Counts
3 → 38
Calls
3 calls:
0.0ms
(fma (* 4.0 b) b (* (pow 1 2.0) (pow (hypot b a) (* 2 2.0))))
0.0ms
(hypot b a)
2.0ms
(pow (hypot b a) (* 2 2.0))

series278.0ms

Counts
3 → 9
Calls
3 calls:
111.0ms
(fma (* 4.0 b) b (* (pow 1 2.0) (pow (hypot b a) (* 2 2.0))))
45.0ms
(hypot b a)
122.0ms
(pow (hypot b a) (* 2 2.0))

simplify1.3s

Counts
47 → 47
Iterations

Useful iterations: 3 (323.0ms)

IterNodesCost
079533
1159490
2521439
31987408
done5001408

prune160.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (hypot b a) 2.0)
0.2b
(* (pow (sqrt (pow (hypot b a) 2.0)) 3) (sqrt (pow (hypot b a) 2.0)))
8.2b
(sqrt (pow (hypot b a) 2.0))
8.2b
(sqrt (pow (hypot b a) 2.0))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
89×sqrt-prod
82×add-sqr-sqrt
64×unpow-prod-down
40×unswap-sqr
31×sqr-pow
26×cube-prod associate-*l*
20×add-cube-cbrt *-un-lft-identity
10×add-exp-log associate-*r*
6×pow1 rem-sqrt-square add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow prod-exp
2×pow-to-exp sqrt-pow1 pow1/2 pow-exp
1×cube-mult hypot-udef pow-pow pow-plus unpow3 *-commutative pow-prod-up sqrt-pow2 cbrt-unprod
Counts
4 → 154
Calls
4 calls:
1.0ms
(pow (hypot b a) 2.0)
24.0ms
(* (pow (sqrt (pow (hypot b a) 2.0)) 3) (sqrt (pow (hypot b a) 2.0)))
2.0ms
(sqrt (pow (hypot b a) 2.0))
2.0ms
(sqrt (pow (hypot b a) 2.0))

series611.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(pow (hypot b a) 2.0)
166.0ms
(* (pow (sqrt (pow (hypot b a) 2.0)) 3) (sqrt (pow (hypot b a) 2.0)))
164.0ms
(sqrt (pow (hypot b a) 2.0))
165.0ms
(sqrt (pow (hypot b a) 2.0))

simplify560.0ms

Counts
166 → 166
Iterations

Useful iterations: 2 (146.0ms)

IterNodesCost
01472923
13322431
212832233
done50002233

prune468.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes37.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01518
12018
done2018

end0.0ms

sample1.1s

Algorithm
intervals
Results
753.0ms20276×body80valid