Details

Time bar (total: 1.3s)

analyze5.0ms (0.4%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
12.5%25%62.5%4
18.7%12.5%68.8%5
21.9%6.2%71.9%6
23.4%3.1%73.5%7
24.2%1.6%74.2%8
24.6%0.8%74.6%9
24.8%0.4%74.8%10
24.9%0.2%74.9%11
24.9%0.1%75%12
25%0%75%13
25%0%75%14
Compiler

Compiled 14 to 11 computations (21.4% saved)

sample23.0ms (1.8%)

Algorithm
intervals
Results
17.0ms256×body128valid
Compiler

Compiled 27 to 22 computations (18.5% saved)

simplify254.0ms (19.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (101.0ms)

IterNodesCost
0557420

prune3.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0b

Counts
2 → 1
Compiler

Compiled 26 to 20 computations (23.1% saved)

localize10.0ms (0.8%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
0.0b
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
0.0b
(sqrt.f64 (-.f64 1 (*.f64 x x)))

rewrite47.0ms (3.6%)

Algorithm
rewrite-expression-head
Rules
45×*-un-lft-identity_binary64_751
37×times-frac_binary64_757
34×add-sqr-sqrt_binary64_772
28×sqrt-prod_binary64_766
25×add-cube-cbrt_binary64_783
10×difference-of-squares_binary64_720
distribute-lft-out_binary64_704 associate-/l*_binary64_698
div-inv_binary64_748
add-log-exp_binary64_787 add-cbrt-cube_binary64_784 add-exp-log_binary64_786
pow1_binary64_809 sqrt-div_binary64_767
associate-/r*_binary64_697 distribute-rgt-out_binary64_706
associate-/l/_binary64_700 flip--_binary64_726 flip3--_binary64_755
+-commutative_binary64_683 flip3-+_binary64_754 distribute-rgt1-in_binary64_709 rem-sqrt-square_binary64_764 pow1/2_binary64_828 cbrt-undiv_binary64_782 sum-log_binary64_839 frac-2neg_binary64_762 clear-num_binary64_750 sqrt-pow1_binary64_768 frac-add_binary64_759 flip-+_binary64_725 div-exp_binary64_799
Counts
3 → 90
Calls

3 calls:

26.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
7.0ms
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
4.0ms
(sqrt.f64 (-.f64 1 (*.f64 x x)))

series181.0ms (14%)

Counts
3 → 9
Calls

3 calls:

84.0ms
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
53.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
44.0ms
(sqrt.f64 (-.f64 1 (*.f64 x x)))

simplify68.0ms (5.3%)

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
051291925

prune101.0ms (7.8%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New99099
Fresh000
Picked011
Done000
Total991100

Merged error: 0b

Counts
100 → 1
Compiler

Compiled 1996 to 1294 computations (35.2% saved)

simplify2.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02920
12920

end0.0ms (0%)

sample595.0ms (46.2%)

Algorithm
intervals
Results
429.0ms8000×body128valid
0.0msbody128nan
Compiler

Compiled 40 to 32 computations (20% saved)

Profiling

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