Details

Time bar (total: 4.1s)

analyze229.0ms (5.6%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%87.4%12.6%5
9.4%65.5%25.1%6
14%60.8%25.1%7
19.5%49.1%31.4%8
24.6%37.8%37.6%9
28.7%33.7%37.6%10
33.3%26%40.7%11
36.2%19.9%43.8%12
38.6%17.6%43.8%13
41.3%13.3%45.4%14
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample21.0ms (0.5%)

Algorithm
intervals
Results
11.0ms256×body128valid
1.0ms26×body128nan
0.0msbody128invalid
Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify368.0ms (9.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (270.0ms)

IterNodesCost
0506312

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 17.7b

Counts
2 → 1
Compiler

Compiled 16 to 14 computations (12.5% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b
(*.f64 x (log.f64 (/.f64 x y)))
17.3b
(log.f64 (/.f64 x y))

rewrite15.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
39×log-prod_binary64_12099
27×times-frac_binary64_12019 add-sqr-sqrt_binary64_12035
25×add-cube-cbrt_binary64_12048 *-un-lft-identity_binary64_12013
13×distribute-lft-in_binary64_11962 distribute-rgt-in_binary64_11963
add-exp-log_binary64_12051
pow1_binary64_12074
add-cbrt-cube_binary64_12049 associate-*r*_binary64_11953
associate-*l*_binary64_11954 div-inv_binary64_12010
rem-log-exp_binary64_12054 add-log-exp_binary64_12052 log-pow_binary64_12102
*-commutative_binary64_11944 div-exp_binary64_12064 unswap-sqr_binary64_11981 pow-prod-down_binary64_12084 log-div_binary64_12100 cbrt-unprod_binary64_12046 prod-exp_binary64_12062
Counts
2 → 69
Calls

2 calls:

6.0ms
(*.f64 x (log.f64 (/.f64 x y)))
3.0ms
(log.f64 (/.f64 x y))

series323.0ms (8%)

Counts
2 → 12
Calls

2 calls:

188.0ms
(*.f64 x (log.f64 (/.f64 x y)))
135.0ms
(log.f64 (/.f64 x y))
Compiler

Compiled 248 to 224 computations (9.7% saved)

simplify63.0ms (1.6%)

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
055121203

prune77.0ms (1.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New75681
Fresh000
Picked101
Done000
Total76682

Merged error: 0.0b

Counts
82 → 6
Compiler

Compiled 1213 to 362 computations (70.2% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)

rewrite9.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod_binary64_12044
add-sqr-sqrt_binary64_12035 add-cube-cbrt_binary64_12048 *-un-lft-identity_binary64_12013
add-cbrt-cube_binary64_12049 add-log-exp_binary64_12052 pow1/3_binary64_12095 add-exp-log_binary64_12051 pow1_binary64_12074
Counts
4 → 44
Calls

4 calls:

1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 y)

series392.0ms (9.7%)

Counts
4 → 12
Calls

4 calls:

100.0ms
(cbrt.f64 x)
99.0ms
(cbrt.f64 y)
97.0ms
(cbrt.f64 y)
96.0ms
(cbrt.f64 x)
Compiler

Compiled 536 to 440 computations (17.9% saved)

simplify79.0ms (2%)

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
04865340
14865340

prune53.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New56056
Fresh055
Picked011
Done000
Total56662

Merged error: 0.0b

Counts
62 → 6
Compiler

Compiled 1320 to 531 computations (59.8% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)

rewrite8.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod_binary64_12044
add-sqr-sqrt_binary64_12035 add-cube-cbrt_binary64_12048 *-un-lft-identity_binary64_12013
add-cbrt-cube_binary64_12049 add-log-exp_binary64_12052 pow1/3_binary64_12095 add-exp-log_binary64_12051 pow1_binary64_12074
Counts
4 → 44
Calls

4 calls:

1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)

series373.0ms (9.2%)

Counts
4 → 12
Calls

4 calls:

96.0ms
(cbrt.f64 y)
93.0ms
(cbrt.f64 y)
92.0ms
(cbrt.f64 x)
92.0ms
(cbrt.f64 x)
Compiler

Compiled 584 to 464 computations (20.5% saved)

simplify75.0ms (1.8%)

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
04865340
14865340

prune58.0ms (1.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New56056
Fresh044
Picked011
Done011
Total56662

Merged error: 0.0b

Counts
62 → 6
Compiler

Compiled 1411 to 543 computations (61.5% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(log.f64 (sqrt.f64 (/.f64 x y)))
0.2b
(*.f64 x (+.f64 (log.f64 (sqrt.f64 (/.f64 x y))) (log.f64 (sqrt.f64 (/.f64 x y)))))
17.0b
(sqrt.f64 (/.f64 x y))
17.0b
(sqrt.f64 (/.f64 x y))

rewrite37.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt_binary64_12035
39×sqrt-prod_binary64_12029
38×*-un-lft-identity_binary64_12013
32×add-cube-cbrt_binary64_12048
29×times-frac_binary64_12019
26×pow1_binary64_12074 associate-*r*_binary64_11953
25×log-pow_binary64_12102
16×log-prod_binary64_12099
10×distribute-rgt-out_binary64_11966
pow1/2_binary64_12093 sqrt-pow1_binary64_12031
distribute-lft-out_binary64_11964
add-exp-log_binary64_12051
add-cbrt-cube_binary64_12049
add-log-exp_binary64_12052 rem-sqrt-square_binary64_12026
associate-*l*_binary64_11954 div-inv_binary64_12010 sqrt-div_binary64_12030
distribute-lft1-in_binary64_11968 distribute-rgt1-in_binary64_11969 associate-*r/_binary64_11955
distribute-lft-in_binary64_11962 rem-log-exp_binary64_12054 flip3-+_binary64_12016 *-commutative_binary64_11944 unswap-sqr_binary64_11981 pow-prod-down_binary64_12084 flip-+_binary64_11987 log-div_binary64_12100 count-2_binary64_11961 cbrt-unprod_binary64_12046 distribute-rgt-in_binary64_11963 prod-exp_binary64_12062
Counts
4 → 123
Calls

4 calls:

16.0ms
(*.f64 x (+.f64 (log.f64 (sqrt.f64 (/.f64 x y))) (log.f64 (sqrt.f64 (/.f64 x y)))))
3.0ms
(log.f64 (sqrt.f64 (/.f64 x y)))
3.0ms
(sqrt.f64 (/.f64 x y))
3.0ms
(sqrt.f64 (/.f64 x y))

series186.0ms (4.6%)

Counts
4 → 24
Calls

4 calls:

71.0ms
(*.f64 x (+.f64 (log.f64 (sqrt.f64 (/.f64 x y))) (log.f64 (sqrt.f64 (/.f64 x y)))))
43.0ms
(log.f64 (sqrt.f64 (/.f64 x y)))
36.0ms
(sqrt.f64 (/.f64 x y))
36.0ms
(sqrt.f64 (/.f64 x y))
Compiler

Compiled 943 to 774 computations (17.9% saved)

simplify85.0ms (2.1%)

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
050461635

prune107.0ms (2.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1452147
Fresh213
Picked011
Done022
Total1476153

Merged error: 0.0b

Counts
153 → 6
Compiler

Compiled 2655 to 640 computations (75.9% saved)

regimes288.0ms (7.1%)

Compiler

Compiled 2732 to 1777 computations (35% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02631
12631

end0.0ms (0%)

sample1.2s (28.6%)

Algorithm
intervals
Results
371.0ms8000×body128valid
27.0ms755×body128nan
2.0ms34×body128invalid
Compiler

Compiled 574 to 375 computations (34.7% saved)

Profiling

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