Details

Time bar (total: 2.6s)

analyze7.0ms (0.3%)

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 15 to 11 computations (26.7% saved)

sample1.2s (48.4%)

Results
1.0s8256×body128valid
0.0msbody128invalid
Compiler

Compiled 44 to 32 computations (27.3% saved)

simplify459.0ms (18%)

Algorithm
egg-herbie
Rules
1115×distribute-rgt-neg-in_binary64
788×distribute-rgt-out--_binary64
692×unsub-neg_binary64
492×fma-neg_binary64
461×distribute-neg-in_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
11820
22420
33420
45020
57320
611320
724720
845220
974220
10156020
11233820
12239220
13262820
14277620
15277420
16285120
17311020
18367320
19466520
20491020
21495220
22496320
23496020
24620820

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0b
Counts
2 → 1
Alt Table
StatusErrorProgram
0b
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Compiler

Compiled 42 to 30 computations (28.6% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series13.0ms (0.5%)

Counts
3 → 36
Calls

3 calls:

6.0ms
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
4.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
4.0ms
(sqrt.f64 (-.f64 1 (*.f64 x x)))

rewrite453.0ms (17.8%)

Algorithm
rewrite-expression-head
Rules
52×*-un-lft-identity_binary64
46×times-frac_binary64
41×add-sqr-sqrt_binary64
32×add-cube-cbrt_binary64
28×sqrt-prod_binary64
Counts
3 → 109
Calls

3 calls:

439.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
5.0ms
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
2.0ms
(sqrt.f64 (-.f64 1 (*.f64 x x)))

simplify164.0ms (6.4%)

Algorithm
egg-herbie
Rules
529×fma-def_binary64
513×associate-/r*_binary64
454×fma-neg_binary64
403×associate-*l*_binary64
384×associate-*r*_binary64
Counts
145 → 186
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02082614
15242522
214622491
346112491
449982491
550002491
649172491

prune138.0ms (5.4%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New1860186
Fresh000
Picked011
Done000
Total1861187
Error
0b
Counts
187 → 1
Alt Table
StatusErrorProgram
0b
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Compiler

Compiled 3980 to 2758 computations (30.7% saved)

regimes30.0ms (1.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
7 → 1
Compiler

Compiled 274 to 205 computations (25.2% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
11820
22420
32820
43020
52920

end38.0ms (1.5%)

Compiler

Compiled 42 to 30 computations (28.6% saved)

Profiling

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