Details

Time bar (total: 1.1s)

analyze480.0ms (45.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
12.5%87.4%0.1%5
18.7%81.1%0.1%6
21.8%71.8%6.4%7
31.2%62.4%6.4%8
35.9%55.4%8.7%9
37.8%48.8%13.4%10
42.7%42.3%15%11
47.7%34.2%18.1%12
49.1%30.4%20.5%13
51.9%25.8%22.3%14
Compiler

Compiled 18 to 15 computations (16.7% saved)

sample44.0ms (4.2%)

Algorithm
intervals
Results
11.0ms34×body2560valid
9.0ms169×body80valid
9.0ms34×body1280valid
2.0ms11×body640valid
2.0ms30×body80nan
1.0ms19×body80invalid
1.0msbody320valid
0.0msbody5120valid
0.0msbody160valid
Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify317.0ms (29.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (308.0ms)

IterNodesCost
0183524
1183524

prune6.0ms (0.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 34.1b

Counts
2 → 1
Compiler

Compiled 32 to 26 computations (18.8% saved)

localize11.0ms (1%)

Local error

Found 4 expressions with local error:

0.1b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b) (*.f64 a 2))
0.6b
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
1.1b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b)
22.1b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))

rewrite35.0ms (3.3%)

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt_binary64
13×*-un-lft-identity_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
add-log-exp_binary64
add-cube-cbrt_binary64
difference-of-squares_binary64 associate-/l*_binary64 times-frac_binary64 sqrt-prod_binary64
pow1_binary64
flip3--_binary64 flip--_binary64
distribute-lft-out--_binary64
associate-/l/_binary64 sub-neg_binary64 diff-log_binary64 cbrt-undiv_binary64 div-exp_binary64 sqrt-div_binary64
associate-/r*_binary64 pow1/2_binary64 cbrt-unprod_binary64 sqrt-pow1_binary64 div-sub_binary64 rem-sqrt-square_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 div-inv_binary64
Counts
4 → 70
Calls

4 calls:

12.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b) (*.f64 a 2))
8.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b)
7.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
5.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))

series74.0ms (7%)

Counts
4 → 12
Calls

4 calls:

32.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b) (*.f64 a 2))
17.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b)
16.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
10.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))

simplify86.0ms (8.1%)

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
048911963
148911963

prune6.0ms (0.6%)

Profiling

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