Details

Time bar (total: 1.8s)

analyze204.0ms (11.5%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
12.5%25%62.5%4
18.7%12.5%68.8%5
21.9%6.2%71.9%6
23.4%3.1%73.5%7
24.2%1.6%74.2%8
24.6%0.8%74.6%9
24.8%0.4%74.8%10
24.9%0.2%74.9%11
24.9%0.1%75%12
25%0%75%13
25%0%75%14
Compiler

Compiled 8 to 8 computations (0% saved)

sample17.0ms (1%)

Algorithm
intervals
Results
10.0ms256×body128valid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify178.0ms (10%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
02011
12011

prune4.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize8.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.2b
(log.f64 (-.f64 (/.f64 1 x) 1))

rewrite21.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64
14×log-prod_binary64
11×*-un-lft-identity_binary64
difference-of-squares_binary64 times-frac_binary64
difference-of-sqr-1_binary64
pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 distribute-lft-out--_binary64 log-div_binary64
add-log-exp_binary64 flip3--_binary64 rem-log-exp_binary64 log-pow_binary64 add-cbrt-cube_binary64 div-inv_binary64 flip--_binary64
Counts
1 → 25
Calls

1 calls:

18.0ms
(log.f64 (-.f64 (/.f64 1 x) 1))

series33.0ms (1.9%)

Counts
1 → 3
Calls

1 calls:

33.0ms
(log.f64 (-.f64 (/.f64 1 x) 1))

simplify89.0ms (5%)

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
05299470

prune32.0ms (1.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New27128
Fresh000
Picked011
Done000
Total27229

Merged error: 0b

Counts
29 → 2
Compiler

Compiled 450 to 380 computations (15.6% saved)

localize17.0ms (1%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 1 (/.f64 1 (sqrt.f64 x)))
0.0b
(+.f64 (log.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x)))) (log.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) 1)))
0.3b
(/.f64 1 (sqrt.f64 x))
0.3b
(/.f64 1 (sqrt.f64 x))

rewrite61.0ms (3.4%)

Algorithm
rewrite-expression-head
Rules
62×add-sqr-sqrt_binary64
60×*-un-lft-identity_binary64
48×times-frac_binary64
36×add-cube-cbrt_binary64
30×sqrt-prod_binary64
25×log-prod_binary64
20×associate-+r+_binary64
12×associate-/r*_binary64 pow1_binary64 add-exp-log_binary64
10×difference-of-squares_binary64
distribute-lft-out_binary64 add-cbrt-cube_binary64
add-log-exp_binary64 associate-/l*_binary64 pow-flip_binary64
associate-+l+_binary64 difference-of-sqr-1_binary64 div-inv_binary64
log-pow_binary64 div-exp_binary64 log-div_binary64
flip3-+_binary64 flip-+_binary64
associate-+r-_binary64 pow1/2_binary64 1-exp_binary64 cbrt-undiv_binary64 associate-+l-_binary64 sqrt-pow1_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 rec-exp_binary64 distribute-lft-out--_binary64 +-commutative_binary64 sum-log_binary64
flip3--_binary64 flip--_binary64
Counts
4 → 147
Calls

4 calls:

26.0ms
(+.f64 (log.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x)))) (log.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) 1)))
10.0ms
(+.f64 1 (/.f64 1 (sqrt.f64 x)))
5.0ms
(/.f64 1 (sqrt.f64 x))
5.0ms
(/.f64 1 (sqrt.f64 x))

series300.0ms (16.9%)

Counts
4 → 12
Calls

4 calls:

136.0ms
(+.f64 (log.f64 (+.f64 1 (/.f64 1 (sqrt.f64 x)))) (log.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) 1)))
60.0ms
(/.f64 1 (sqrt.f64 x))
58.0ms
(+.f64 1 (/.f64 1 (sqrt.f64 x)))
46.0ms
(/.f64 1 (sqrt.f64 x))

simplify87.0ms (4.9%)

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
051042492

prune199.0ms (11.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1590159
Fresh000
Picked011
Done011
Total1592161

Merged error: 0b

Counts
161 → 2
Compiler

Compiled 3469 to 2522 computations (27.3% saved)

regimes51.0ms (2.9%)

Compiler

Compiled 159 to 149 computations (6.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05626
15626

end0.0ms (0%)

sample473.0ms (26.6%)

Algorithm
intervals
Results
286.0ms8000×body128valid
0.0msbody128nan
Compiler

Compiled 47 to 44 computations (6.4% saved)

Profiling

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