Details

Time bar (total: 588.0ms)

analyze339.0ms (57.7%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
50%50%0.1%3
50%50%0.1%4
62.4%37.5%0.1%5
62.4%37.5%0.1%6
68.7%31.2%0.1%7
68.7%31.2%0.1%8
71.8%28.1%0.1%9
71.8%28.1%0.1%10
73.4%26.5%0.1%11
73.4%26.5%0.1%12
74.1%25.8%0.1%13
74.1%25.8%0.1%14
Compiler

Compiled 16 to 13 computations (18.8% saved)

sample36.0ms (6.1%)

Algorithm
intervals
Results
9.0ms190×body80valid
7.0ms24×body2560valid
5.0ms20×body1280valid
4.0msbody640valid
3.0msbody5120valid
1.0msbody320valid
0.0msbody160valid
Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify13.0ms (2.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
02323
12323

prune4.0ms (0.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 35.2b

Counts
2 → 1
Compiler

Compiled 30 to 24 computations (20% saved)

localize11.0ms (1.9%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 re re) (*.f64 im im))
0.0b
(sqrt.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
0.2b
(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
26.2b
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

rewrite28.0ms (4.8%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64 pow1_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
flip3-+_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 sqrt-prod_binary64 flip-+_binary64 sqrt-div_binary64
sqrt-pow1_binary64
pow1/2_binary64 associate-*r/_binary64 +-commutative_binary64 sum-log_binary64
pow-prod-down_binary64 distribute-lft-out_binary64 rem-sqrt-square_binary64
Counts
4 → 51
Calls

4 calls:

9.0ms
(sqrt.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
8.0ms
(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
5.0ms
(+.f64 (*.f64 re re) (*.f64 im im))
5.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

series50.0ms (8.5%)

Counts
4 → 12
Calls

4 calls:

29.0ms
(sqrt.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
8.0ms
(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
7.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
6.0ms
(+.f64 (*.f64 re re) (*.f64 im im))

simplify103.0ms (17.6%)

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
049371048
149371048

prune3.0ms (0.6%)

Profiling

Loading profile data...