Details

Time bar (total: 1.1s)

analyze10.0ms (0.9%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%50%50%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 9 to 7 computations (22.2% saved)

sample71.0ms (6.4%)

Algorithm
intervals
Results
11.0ms256×body128valid
0.0msbody128nan
Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify6.0ms (0.6%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
1-exp_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11311
21411
31211

prune2.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.5b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.5b
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 24 to 18 computations (25% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (-.f64 x 1))
0.5b
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

series25.0ms (2.2%)

Counts
2 → 8
Calls

2 calls:

17.0ms
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
8.0ms
(sqrt.f64 (-.f64 x 1))

rewrite16.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt_binary64
21×sqrt-prod_binary64
13×*-un-lft-identity_binary64
10×associate-*l*_binary64
add-cube-cbrt_binary64
Counts
2 → 60
Calls

2 calls:

8.0ms
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
5.0ms
(sqrt.f64 (-.f64 x 1))

simplify92.0ms (8.3%)

Algorithm
egg-herbie
Rules
725×associate-/l*_binary64
567×fma-def_binary64
550×div-sub_binary64
395×associate-/r*_binary64
324×fma-neg_binary64
Counts
68 → 99
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0103897
1215870
2563870
31598855
44470845
54799845
65736845

prune80.0ms (7.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New97299
Fresh000
Picked101
Done000
Total982100
Error
0b
Counts
100 → 2
Alt Table
StatusErrorProgram
32.1b
(sqrt.f64 (*.f64 (-.f64 x 1) x))
0.5b
(-.f64 x 1/2)
Compiler

Compiled 1314 to 883 computations (32.8% saved)

localize2.0ms (0.1%)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done000
Total022
Error
0b
Counts
2 → 2
Alt Table
StatusErrorProgram
32.1b
(sqrt.f64 (*.f64 (-.f64 x 1) x))
0.5b
(-.f64 x 1/2)
Compiler

Compiled 18 to 13 computations (27.8% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (-.f64 x 1) x)
29.9b
(sqrt.f64 (*.f64 (-.f64 x 1) x))

series7.0ms (0.7%)

Counts
2 → 20
Calls

2 calls:

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

rewrite48.0ms (4.4%)

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt_binary64
associate-*l*_binary64
*-un-lft-identity_binary64
pow1_binary64
associate-*l/_binary64
Counts
2 → 41
Calls

2 calls:

5.0ms
(*.f64 (-.f64 x 1) x)
4.0ms
(sqrt.f64 (*.f64 (-.f64 x 1) x))

simplify78.0ms (7%)

Algorithm
egg-herbie
Rules
874×fma-def_binary64
589×distribute-rgt-in_binary64
525×distribute-lft-in_binary64
443×unswap-sqr_binary64
394×fma-neg_binary64
Counts
61 → 82
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
083587
1166551
2477543
31302537
43579537
54964537
64917537

prune82.0ms (7.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New82082
Fresh000
Picked011
Done011
Total82284
Error
0b
Counts
84 → 2
Alt Table
StatusErrorProgram
32.1b
(sqrt.f64 (*.f64 (-.f64 x 1) x))
0.5b
(-.f64 x 1/2)
Compiler

Compiled 906 to 551 computations (39.2% saved)

regimes15.0ms (1.4%)

Accuracy

Total 0.6b remaining (99.4%)

Threshold costs 0.6b (99.4%)

Counts
5 → 1
Compiler

Compiled 78 to 56 computations (28.2% saved)

simplify2.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
174
284
374

end0.0ms (0%)

Compiler

Compiled 4 to 3 computations (25% saved)

sample563.0ms (50.8%)

Algorithm
intervals
Results
362.0ms8000×body128valid
0.0msbody128nan
Compiler

Compiled 25 to 19 computations (24% saved)

Profiling

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