Details

Time bar (total: 2.5s)

analyze3.0ms (0.1%)

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

Compiled 7 to 5 computations (28.6% saved)

sample15.0ms (0.6%)

Algorithm
intervals
Results
10.0ms256×body128valid
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify297.0ms (11.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (191.0ms)

IterNodesCost
0496510
1496510

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.3b
Counts
2 → 1
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b
(log.f64 (log.f64 x))
0.3b
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

rewrite10.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
11×log-prod_binary64_2210
10×pow1_binary64_2185 *-un-lft-identity_binary64_2124
log-pow_binary64_2213 add-sqr-sqrt_binary64_2146
add-cube-cbrt_binary64_2159
cancel-sign-sub-inv_binary64_2090 distribute-lft-out--_binary64_2076 associate--r+_binary64_2060
associate--l+_binary64_2061 add-exp-log_binary64_2162
add-log-exp_binary64_2163 add-cbrt-cube_binary64_2160
flip--_binary64_2099 difference-of-squares_binary64_2093 flip3--_binary64_2128 rem-log-exp_binary64_2165 diff-log_binary64_2216 sub-neg_binary64_2117
Counts
2 → 40
Calls

2 calls:

6.0ms
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
1.0ms
(log.f64 (log.f64 x))

series279.0ms (11.1%)

Counts
2 → 6
Calls

2 calls:

162.0ms
(-.f64 (log.f64 x) (log.f64 (log.f64 x)))
118.0ms
(log.f64 (log.f64 x))
Compiler

Compiled 98 to 74 computations (24.5% saved)

simplify82.0ms (3.3%)

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
05245505

prune30.0ms (1.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New44246
Fresh000
Picked101
Done000
Total45247
Error
0b
Counts
47 → 2
Compiler

Compiled 471 to 140 computations (70.3% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.3b
(/.f64 x (log.f64 x))

rewrite5.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
12×times-frac_binary64_2130
10×add-cube-cbrt_binary64_2159 add-sqr-sqrt_binary64_2146 *-un-lft-identity_binary64_2124
pow1_binary64_2185
log-pow_binary64_2213 associate-/r*_binary64_2068
associate-/l*_binary64_2069 add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160
clear-num_binary64_2123 cbrt-undiv_binary64_2158 add-log-exp_binary64_2163 div-inv_binary64_2121 div-exp_binary64_2175 frac-2neg_binary64_2135
Counts
1 → 31
Calls

1 calls:

3.0ms
(/.f64 x (log.f64 x))

series98.0ms (3.9%)

Counts
1 → 3
Calls

1 calls:

98.0ms
(/.f64 x (log.f64 x))
Compiler

Compiled 40 to 34 computations (15% saved)

simplify75.0ms (3%)

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
05019387

prune19.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New34034
Fresh011
Picked011
Done000
Total34236
Error
0b
Counts
36 → 2
Compiler

Compiled 351 to 114 computations (67.5% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b
(-.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 (cbrt.f64 (log.f64 x))) 2)) (log.f64 (cbrt.f64 (log.f64 x))))
0.3b
(-.f64 (log.f64 x) (*.f64 (log.f64 (cbrt.f64 (log.f64 x))) 2))
0.5b
(cbrt.f64 (log.f64 x))
0.5b
(cbrt.f64 (log.f64 x))

rewrite21.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity_binary64_2124
13×log-prod_binary64_2210 add-sqr-sqrt_binary64_2146
12×cbrt-prod_binary64_2155
11×add-cube-cbrt_binary64_2159 associate--l+_binary64_2061
pow1_binary64_2185
cancel-sign-sub-inv_binary64_2090 associate--r+_binary64_2060 add-log-exp_binary64_2163
log-pow_binary64_2213
diff-log_binary64_2216 add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160
pow1/3_binary64_2206 sub-neg_binary64_2117
flip--_binary64_2099 flip3--_binary64_2128 distribute-lft-out--_binary64_2076
difference-of-squares_binary64_2093 associate--l-_binary64_2062
Counts
4 → 72
Calls

4 calls:

9.0ms
(-.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 (cbrt.f64 (log.f64 x))) 2)) (log.f64 (cbrt.f64 (log.f64 x))))
4.0ms
(-.f64 (log.f64 x) (*.f64 (log.f64 (cbrt.f64 (log.f64 x))) 2))
1.0ms
(cbrt.f64 (log.f64 x))
1.0ms
(cbrt.f64 (log.f64 x))

series869.0ms (34.4%)

Counts
4 → 12
Calls

4 calls:

283.0ms
(-.f64 (log.f64 x) (*.f64 (log.f64 (cbrt.f64 (log.f64 x))) 2))
278.0ms
(-.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 (cbrt.f64 (log.f64 x))) 2)) (log.f64 (cbrt.f64 (log.f64 x))))
155.0ms
(cbrt.f64 (log.f64 x))
152.0ms
(cbrt.f64 (log.f64 x))
Compiler

Compiled 386 to 302 computations (21.8% saved)

simplify61.0ms (2.4%)

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
051721152

prune64.0ms (2.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh000
Picked011
Done011
Total84286
Error
0b
Counts
86 → 2
Compiler

Compiled 1372 to 500 computations (63.6% saved)

regimes52.0ms (2.1%)

Accuracy

Total 0.0b remaining (87.1%)

Threshold costs 0.0b (87.1%)

Compiler

Compiled 273 to 170 computations (37.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
058
158

end0.0ms (0%)

sample518.0ms (20.5%)

Algorithm
intervals
Results
310.0ms8000×body128valid
0.0msbody128nan
Compiler

Compiled 76 to 49 computations (35.5% saved)

Profiling

Loading profile data...