Details

Time bar (total: 1.5s)

analyze12.0ms (0.8%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50%13
49.9%0%50%14
Compiler

Compiled 12 to 11 computations (8.3% saved)

sample225.0ms (15.1%)

Algorithm
intervals
Results
215.0ms256×body128valid
Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify128.0ms (8.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
046617
146617

prune4.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Compiler

Compiled 22 to 20 computations (9.1% saved)

localize10.0ms (0.6%)

Local error

Found 6 expressions with local error:

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

rewrite41.0ms (2.7%)

Algorithm
rewrite-expression-head
Rules
79×*-un-lft-identity_binary64
56×add-sqr-sqrt_binary64
49×times-frac_binary64
30×sqrt-prod_binary64
26×add-cube-cbrt_binary64
18×difference-of-squares_binary64
13×distribute-lft-out_binary64
distribute-lft-out--_binary64
associate-/l*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
associate-/r*_binary64 pow1_binary64 associate-/r/_binary64
add-log-exp_binary64
flip3-+_binary64 associate-/l/_binary64 rem-sqrt-square_binary64 div-inv_binary64 flip-+_binary64
pow1/2_binary64 flip3--_binary64 cbrt-undiv_binary64 sqrt-pow1_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-exp_binary64 flip--_binary64 sqrt-div_binary64
Counts
3 → 100
Calls

6 calls:

18.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
12.0ms
(/.f64 (-.f64 1 x) (+.f64 1 x))
1.0ms
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
0.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
0.0ms
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))

series71.0ms (4.8%)

Counts
3 → 17
Calls

3 calls:

34.0ms
(/.f64 (-.f64 1 x) (+.f64 1 x))
19.0ms
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
19.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
Compiler

Compiled 260 to 252 computations (3.1% saved)

simplify83.0ms (5.6%)

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
064192047

prune133.0ms (8.9%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New1170117
Fresh000
Picked011
Done000
Total1171118
Error
0.0b
Counts
118 → 1
Compiler

Compiled 1995 to 1607 computations (19.4% saved)

simplify4.0ms (0.3%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05370
15370

regimes60.0ms (4%)

Compiler

Compiled 297 to 289 computations (2.7% saved)

bsearch0.0ms (0%)

regimes14.0ms (0.9%)

Compiler

Compiled 36 to 37 computations (-2.8% saved)

bsearch0.0ms (0%)

regimes9.0ms (0.6%)

Compiler

Compiled 15 to 19 computations (-26.7% saved)

bsearch0.0ms (0%)

regimes9.0ms (0.6%)

Compiler

Compiled 9 to 13 computations (-44.4% saved)

bsearch0.0ms (0%)

regimes9.0ms (0.6%)

Accuracy

Total 0.0b remaining (29%)

Threshold costs 0.0b (29%)

Compiler

Compiled 5 to 8 computations (-60% saved)

bsearch3.0ms (0.2%)

Compiler

Compiled 34 to 33 computations (2.9% saved)

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03751
13751

end0.0ms (0%)

sample671.0ms (45%)

Algorithm
intervals
Results
368.0ms8000×body128valid
Compiler

Compiled 91 to 90 computations (1.1% saved)

Pareto

0.49195065401376553

Profiling

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