Details

Time bar (total: 1.1s)

analyze5.0ms (0.4%)

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)

sample55.0ms (4.8%)

Algorithm
intervals
Results
10.0ms256×body128valid
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 (0.1%)

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 1 expressions with local error:

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

series80.0ms (7%)

Counts
1 → 4
Calls

1 calls:

80.0ms
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

rewrite10.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt_binary64
14×sqrt-prod_binary64
10×associate-*l*_binary64
*-un-lft-identity_binary64
associate-*r*_binary64
Counts
1 → 39
Calls

1 calls:

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

simplify148.0ms (12.9%)

Algorithm
egg-herbie
Rules
865×fma-neg_binary64
626×distribute-rgt-in_binary64
492×distribute-lft-in_binary64
314×associate-*l*_binary64
262×associate-/r*_binary64
Counts
43 → 51
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
073590
1146578
2355578
3725578
41829568
54473568
64973568

prune25.0ms (2.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New49251
Fresh000
Picked011
Done000
Total49352
Error
0b
Counts
52 → 3
Alt Table
StatusErrorProgram
0.6b
(-.f64 x 1/2)
0.5b
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
33.6b
(sqrt.f64 (-.f64 (*.f64 x x) x))
Compiler

Compiled 686 to 448 computations (34.7% saved)

localize2.0ms (0.2%)

prune3.0ms (0.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done011
Total033
Error
0b
Counts
3 → 3
Alt Table
StatusErrorProgram
0.6b
(-.f64 x 1/2)
0.5b
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
33.6b
(sqrt.f64 (-.f64 (*.f64 x x) x))
Compiler

Compiled 26 to 17 computations (34.6% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (*.f64 x x) x)
31.3b
(sqrt.f64 (-.f64 (*.f64 x x) x))

series8.0ms (0.7%)

Counts
2 → 20
Calls

2 calls:

5.0ms
(sqrt.f64 (-.f64 (*.f64 x x) x))
3.0ms
(-.f64 (*.f64 x x) x)

rewrite54.0ms (4.7%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64
*-un-lft-identity_binary64
sqrt-prod_binary64
add-cube-cbrt_binary64
add-log-exp_binary64
Counts
2 → 41
Calls

2 calls:

48.0ms
(-.f64 (*.f64 x x) x)
4.0ms
(sqrt.f64 (-.f64 (*.f64 x x) x))

simplify64.0ms (5.6%)

Algorithm
egg-herbie
Rules
755×fma-neg_binary64
622×cancel-sign-sub-inv_binary64
554×unswap-sqr_binary64
483×associate-*r*_binary64
442×fma-def_binary64
Counts
61 → 68
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
093634
1177584
2611575
32422575
43417575
55304575

prune24.0ms (2.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New68068
Fresh000
Picked011
Done022
Total68371
Error
0b
Counts
71 → 3
Alt Table
StatusErrorProgram
0.6b
(-.f64 x 1/2)
0.5b
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
33.6b
(sqrt.f64 (-.f64 (*.f64 x x) x))
Compiler

Compiled 785 to 307 computations (60.9% saved)

regimes21.0ms (1.8%)

Accuracy

Total 0.5b remaining (99.7%)

Threshold costs 0.5b (99.7%)

Counts
9 → 1
Compiler

Compiled 134 to 92 computations (31.3% saved)

simplify2.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11311
21411
31211

end0.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

sample627.0ms (54.8%)

Algorithm
intervals
Results
336.0ms8000×body128valid
0.0msbody128nan
Compiler

Compiled 37 to 27 computations (27% saved)

Profiling

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