Details

Time bar (total: 144.0ms)

analyze2.0ms (1.7%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
50%25%25%3
62.5%12.5%25%4
68.7%6.2%25%5
71.8%3.1%25%6
73.4%1.6%25%7
74.2%0.8%25%8
74.6%0.4%25%9
74.8%0.2%25%10
74.9%0.1%25%11
74.9%0%25%12
74.9%0%25%13
74.9%0%25%14
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample12.0ms (8.3%)

Algorithm
intervals
Results
7.0ms256×body80valid
Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify14.0ms (9.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
01112
11112

prune3.0ms (2.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1
Compiler

Compiled 16 to 14 computations (12.5% saved)

localize5.0ms (3.5%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
0.0b
(sqrt.f64 (+.f64 x 1))
0.1b
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

rewrite28.0ms (19.3%)

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity_binary64
26×add-sqr-sqrt_binary64
21×distribute-lft-out_binary64
18×times-frac_binary64
15×add-cube-cbrt_binary64
14×sqrt-prod_binary64
associate-/r*_binary64
add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64
flip3-+_binary64 associate-/l*_binary64 flip-+_binary64
associate-/r/_binary64 sqrt-div_binary64
pow1/2_binary64 cbrt-undiv_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 sum-log_binary64
Counts
3 → 71
Calls

3 calls:

12.0ms
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
9.0ms
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
4.0ms
(sqrt.f64 (+.f64 x 1))

series29.0ms (20.1%)

Counts
3 → 9
Calls

3 calls:

20.0ms
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
5.0ms
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
4.0ms
(sqrt.f64 (+.f64 x 1))

simplify47.0ms (33%)

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
050261561

prune4.0ms (2.6%)

Profiling

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