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)

sample20.0ms (1.5%)

Algorithm
intervals
Results
14.0ms256×body128valid
Compiler

Compiled 27 to 22 computations (18.5% saved)

simplify281.0ms (20.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (111.0ms)

IterNodesCost
0557420

prune2.0ms (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)

localize9.0ms (0.7%)

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)))

rewrite51.0ms (3.8%)

Algorithm
rewrite-expression-head
Rules
45×*-un-lft-identity_binary64_767
37×times-frac_binary64_773
34×add-sqr-sqrt_binary64_789
28×sqrt-prod_binary64_783
25×add-cube-cbrt_binary64_802
10×difference-of-squares_binary64_736
distribute-lft-out_binary64_718 associate-/l*_binary64_712
div-inv_binary64_764
add-exp-log_binary64_805 add-log-exp_binary64_806 add-cbrt-cube_binary64_803
pow1_binary64_828 sqrt-div_binary64_784
associate-/r*_binary64_711 distribute-rgt-out_binary64_720
associate-/l/_binary64_714 flip--_binary64_742 flip3--_binary64_771
frac-2neg_binary64_778 rem-sqrt-square_binary64_780 cbrt-undiv_binary64_801 frac-add_binary64_775 flip-+_binary64_741 +-commutative_binary64_697 sum-log_binary64_858 pow1/2_binary64_847 distribute-rgt1-in_binary64_723 flip3-+_binary64_770 div-exp_binary64_818 sqrt-pow1_binary64_785 clear-num_binary64_766
Counts
3 → 90
Calls

3 calls:

29.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
8.0ms
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
4.0ms
(sqrt.f64 (-.f64 1 (*.f64 x x)))

series181.0ms (13.5%)

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))
43.0ms
(sqrt.f64 (-.f64 1 (*.f64 x x)))

simplify73.0ms (5.4%)

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049121919
149121919

prune103.0ms (7.6%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New99099
Fresh000
Picked011
Done000
Total991100

Merged error: 0b

Counts
100 → 1
Compiler

Compiled 1993 to 1285 computations (35.5% saved)

simplify2.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02920
12920

end0.0ms (0%)

sample616.0ms (45.9%)

Algorithm
intervals
Results
447.0ms8000×body128valid
0.0msbody128nan
Compiler

Compiled 40 to 32 computations (20% saved)

Profiling

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