Details

Time bar (total: 835.0ms)

analyze270.0ms

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

sample153.0ms

Algorithm
intervals
Results
75.0ms175×body640valid
33.0ms335×body80nan
13.0ms46×body320valid
3.0ms13×body160valid
2.0msbody1280valid
2.0ms18×body80valid

simplify44.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
0573150

prune14.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 4.2b

Counts
2 → 1

localize41.0ms

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))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt_binary64_3769
32×sqrt-prod_binary64_3763 *-un-lft-identity_binary64_3784
16×difference-of-squares_binary64_3813
12×add-log-exp_binary64_3749 distribute-lft-out--_binary64_3829
add-exp-log_binary64_3748 pow1_binary64_3730 flip3--_binary64_3783 distribute-lft-out_binary64_3828 flip--_binary64_3810 add-cbrt-cube_binary64_3756 diff-log_binary64_3700 sub-neg_binary64_3788 add-cube-cbrt_binary64_3755
Counts
4 → 72
Calls
4 calls:
8.0ms
(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))
8.0ms
(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
9.0ms
(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
8.0ms
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

series154.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))
39.0ms
(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
43.0ms
(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
36.0ms
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

simplify82.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
057812194

prune41.0ms

Filtered
63 candidates to 84 candidates (-33.3%)

Profiling

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