Details

Time bar (total: 679.0ms)

analyze277.0ms (40.8%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
6.2%93.6%0.2%5
6.2%68.6%25.1%6
6.2%49.9%43.9%7
6.2%35.9%57.9%8
6.2%25.3%68.4%9
6.2%20.1%73.7%10
6.2%15.7%78.1%11
6.2%12%81.7%12
6.2%9%84.8%13
6.2%7.5%86.3%14
Compiler

Compiled 32 to 28 computations (12.5% saved)

sample139.0ms (20.4%)

Algorithm
intervals
Results
70.0ms175×body640valid
31.0ms335×body80nan
13.0ms46×body320valid
3.0ms13×body160valid
2.0msbody1280valid
2.0ms18×body80valid
Compiler

Compiled 63 to 59 computations (6.3% saved)

simplify75.0ms (11.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
0504150

prune6.0ms (0.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 4.2b

Counts
2 → 1
Compiler

Compiled 62 to 54 computations (12.9% saved)

localize21.0ms (3.1%)

Local error

Found 4 expressions with local error:

2.1b
(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))
2.3b
(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
2.8b
(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
3.2b
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

rewrite40.0ms (5.9%)

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt_binary64
32×*-un-lft-identity_binary64 sqrt-prod_binary64
16×difference-of-squares_binary64
12×add-log-exp_binary64 distribute-lft-out--_binary64
sub-neg_binary64 pow1_binary64 flip3--_binary64 diff-log_binary64 distribute-lft-out_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 flip--_binary64
Counts
4 → 72
Calls

4 calls:

11.0ms
(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
9.0ms
(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
9.0ms
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
9.0ms
(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

series44.0ms (6.4%)

Counts
4 → 12
Calls

4 calls:

11.0ms
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
11.0ms
(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))
11.0ms
(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
11.0ms
(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))

simplify61.0ms (9%)

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
051962103

prune16.0ms (2.4%)

Profiling

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