Details

Time bar (total: 1.3s)

analyze48.0ms (3.6%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
25%74.9%0.1%4
37.5%62.4%0.1%5
56.2%43.7%0.1%6
65.6%34.3%0.1%7
76.5%23.4%0.1%8
82%18%0.1%9
87.8%12.1%0.1%10
90.7%9.2%0.1%11
93.8%6.1%0.1%12
95.3%4.6%0.1%13
96.8%3.1%0.1%14
Compiler

Compiled 6 to 5 computations (16.7% saved)

sample10.0ms (0.7%)

Algorithm
intervals
Results
4.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 11 to 11 computations (0% saved)

simplify172.0ms (12.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0137
1137

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(+.f64 (+.f64 x y) x)

rewrite8.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64_15903 add-log-exp_binary64_15942
sum-log_binary64_15994 distribute-lft-out_binary64_15854
associate-+l+_binary64_15836 flip3-+_binary64_15906 add-sqr-sqrt_binary64_15925 add-exp-log_binary64_15941 add-cube-cbrt_binary64_15938 add-cbrt-cube_binary64_15939 flip-+_binary64_15877 +-commutative_binary64_15833 pow1_binary64_15964
Counts
1 → 15
Calls

1 calls:

7.0ms
(+.f64 (+.f64 x y) x)

series36.0ms (2.7%)

Counts
1 → 3
Calls

1 calls:

36.0ms
(+.f64 (+.f64 x y) x)

simplify68.0ms (5.1%)

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
05010169

prune18.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New16218
Fresh000
Picked011
Done000
Total16319

Merged error: 0b

Counts
19 → 3
Compiler

Compiled 210 to 77 computations (63.3% saved)

localize6.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (+.f64 x (+.f64 x y)))
0.0b
(+.f64 x (+.f64 x y))
0.0b
(+.f64 x (+.f64 x y))
0.3b
(*.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) (sqrt.f64 (+.f64 x (+.f64 x y))))

rewrite47.0ms (3.5%)

Algorithm
rewrite-expression-head
Rules
72×*-un-lft-identity_binary64_15903
43×sqrt-prod_binary64_15919
33×distribute-lft-out_binary64_15854
28×add-sqr-sqrt_binary64_15925
20×pow1_binary64_15964
16×swap-sqr_binary64_15870
14×sqrt-div_binary64_15920 add-log-exp_binary64_15942
13×add-cube-cbrt_binary64_15938
pow1/2_binary64_15983 sqrt-pow1_binary64_15921 flip3-+_binary64_15906 flip-+_binary64_15877
associate-*l*_binary64_15844 associate-*r*_binary64_15843
add-exp-log_binary64_15941 sum-log_binary64_15994 add-cbrt-cube_binary64_15939
pow-prod-up_binary64_15973
unswap-sqr_binary64_15871 frac-times_binary64_15913
pow-prod-down_binary64_15974 rem-sqrt-square_binary64_15916 pow-sqr_binary64_15876
associate-*r/_binary64_15845 associate-+r+_binary64_15835 associate-*l/_binary64_15846 +-commutative_binary64_15833
cbrt-unprod_binary64_15936 pow-plus_binary64_15966 sqr-abs_binary64_15918 prod-exp_binary64_15952 *-commutative_binary64_15834 sqrt-unprod_binary64_15923 pow2_binary64_15984 rem-square-sqrt_binary64_15915
Counts
4 → 117
Calls

4 calls:

18.0ms
(*.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) (sqrt.f64 (+.f64 x (+.f64 x y))))
6.0ms
(+.f64 x (+.f64 x y))
6.0ms
(+.f64 x (+.f64 x y))
6.0ms
(sqrt.f64 (+.f64 x (+.f64 x y)))

series175.0ms (13%)

Counts
4 → 12
Calls

4 calls:

58.0ms
(*.f64 (sqrt.f64 (+.f64 x (+.f64 x y))) (sqrt.f64 (+.f64 x (+.f64 x y))))
46.0ms
(sqrt.f64 (+.f64 x (+.f64 x y)))
38.0ms
(+.f64 x (+.f64 x y))
33.0ms
(+.f64 x (+.f64 x y))

simplify89.0ms (6.6%)

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
049041523
149041523

prune81.0ms (6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1290129
Fresh011
Picked011
Done011
Total1293132

Merged error: 0b

Counts
132 → 3
Compiler

Compiled 1938 to 400 computations (79.4% saved)

localize6.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (+.f64 x y))
38.6b
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 x y)) 3))

rewrite16.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity_binary64_15903
16×cbrt-prod_binary64_15934
distribute-lft-out_binary64_15854
add-log-exp_binary64_15942
unpow-prod-down_binary64_15982 cube-prod_binary64_15931 add-sqr-sqrt_binary64_15925 add-cube-cbrt_binary64_15938
sum-log_binary64_15994
flip3-+_binary64_15906 add-exp-log_binary64_15941 add-cbrt-cube_binary64_15939 flip-+_binary64_15877 cbrt-div_binary64_15935 cube-div_binary64_15932 pow1_binary64_15964
associate-+r+_binary64_15835 unpow3_binary64_15969 pow1/3_binary64_15985 sqr-pow_binary64_15875 cube-mult_binary64_15933 rem-cbrt-cube_binary64_15927 +-commutative_binary64_15833
Counts
2 → 42
Calls

2 calls:

7.0ms
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 x y)) 3))
6.0ms
(+.f64 x (+.f64 x y))

series85.0ms (6.3%)

Counts
2 → 6
Calls

2 calls:

47.0ms
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 x y)) 3))
38.0ms
(+.f64 x (+.f64 x y))

simplify61.0ms (4.5%)

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04916558
14916558

prune27.0ms (2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New48048
Fresh000
Picked011
Done022
Total48351

Merged error: 0b

Counts
51 → 3
Compiler

Compiled 524 to 186 computations (64.5% saved)

regimes28.0ms (2.1%)

Compiler

Compiled 92 to 67 computations (27.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
177

end0.0ms (0%)

sample354.0ms (26.4%)

Algorithm
intervals
Results
138.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 42 to 33 computations (21.4% saved)

Profiling

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