Details

Time bar (total: 3.2s)

analyze52.0ms (1.6%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
25%74.9%0.1%3
25%74.9%0.1%4
56.2%43.7%0.1%5
65.6%34.3%0.1%6
79.6%20.3%0.1%7
83.5%16.4%0.1%8
90.1%9.8%0.1%9
91.9%8%0.1%10
95.1%4.8%0.1%11
96%4%0.1%12
97.5%2.4%0.1%13
97.9%2%0.1%14
Compiler

Compiled 10 to 8 computations (20% saved)

sample13.0ms (0.4%)

Algorithm
intervals
Results
7.0ms256×body128valid
Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify561.0ms (17.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (402.0ms)

IterNodesCost
0214213
1214213

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Compiler

Compiled 18 to 14 computations (22.2% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

rewrite16.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity_binary64_14059
40×add-sqr-sqrt_binary64_14081
30×times-frac_binary64_14065
19×distribute-lft-out--_binary64_14011
14×add-cube-cbrt_binary64_14094
13×difference-of-squares_binary64_14028
distribute-lft-out_binary64_14010 associate-/r*_binary64_14003
associate-/l*_binary64_14004
add-cbrt-cube_binary64_14095 add-exp-log_binary64_14097
flip--_binary64_14034 associate-/l/_binary64_14006 associate-/r/_binary64_14005 flip3--_binary64_14063
frac-2neg_binary64_14070 add-log-exp_binary64_14098 div-exp_binary64_14110 div-sub_binary64_14064 div-inv_binary64_14056 clear-num_binary64_14058 cbrt-undiv_binary64_14093 pow1_binary64_14120
Counts
1 → 58
Calls

1 calls:

11.0ms
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

series45.0ms (1.4%)

Counts
1 → 3
Calls

1 calls:

45.0ms
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

simplify72.0ms (2.3%)

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
051651357

prune75.0ms (2.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New59261
Fresh000
Picked011
Done000
Total59362
Error
0b
Counts
62 → 3
Compiler

Compiled 1104 to 456 computations (58.7% saved)

localize14.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (/.f64 x (-.f64 2 (+.f64 x y))) (/.f64 y (-.f64 2 (+.f64 x y))))
0.0b
(/.f64 x (-.f64 2 (+.f64 x y)))
0.0b
(/.f64 y (-.f64 2 (+.f64 x y)))

rewrite105.0ms (3.3%)

Algorithm
rewrite-expression-head
Rules
152×*-un-lft-identity_binary64_14059
82×times-frac_binary64_14065
75×add-sqr-sqrt_binary64_14081
47×distribute-lft-out--_binary64_14011
37×add-cube-cbrt_binary64_14094
24×cancel-sign-sub-inv_binary64_14025
17×distribute-lft-out_binary64_14010 difference-of-squares_binary64_14028
12×associate-/r*_binary64_14003
10×associate-/r/_binary64_14005
add-cbrt-cube_binary64_14095 add-exp-log_binary64_14097
flip--_binary64_14034 flip3--_binary64_14063 associate-/l*_binary64_14004
add-log-exp_binary64_14098 div-inv_binary64_14056
pow1_binary64_14120 distribute-rgt-out--_binary64_14013
frac-2neg_binary64_14070 div-exp_binary64_14110 clear-num_binary64_14058 cbrt-undiv_binary64_14093
sub-div_binary64_14066 frac-sub_binary64_14068 diff-log_binary64_14151 sub-neg_binary64_14052
Counts
3 → 139
Calls

3 calls:

53.0ms
(-.f64 (/.f64 x (-.f64 2 (+.f64 x y))) (/.f64 y (-.f64 2 (+.f64 x y))))
15.0ms
(/.f64 y (-.f64 2 (+.f64 x y)))
14.0ms
(/.f64 x (-.f64 2 (+.f64 x y)))

series151.0ms (4.8%)

Counts
3 → 9
Calls

3 calls:

77.0ms
(-.f64 (/.f64 x (-.f64 2 (+.f64 x y))) (/.f64 y (-.f64 2 (+.f64 x y))))
37.0ms
(/.f64 y (-.f64 2 (+.f64 x y)))
37.0ms
(/.f64 x (-.f64 2 (+.f64 x y)))

simplify95.0ms (3%)

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
056382883

prune199.0ms (6.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1480148
Fresh011
Picked011
Done011
Total1483151
Error
0b
Counts
151 → 3
Compiler

Compiled 3240 to 1601 computations (50.6% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 (-.f64 x y))
0.5b
(cbrt.f64 (-.f64 x y))
0.5b
(cbrt.f64 (-.f64 x y))
0.5b
(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))

rewrite33.0ms (1%)

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod_binary64_14090
37×add-sqr-sqrt_binary64_14081
35×*-un-lft-identity_binary64_14059
18×cbrt-div_binary64_14091
15×add-cube-cbrt_binary64_14094
11×pow1_binary64_14120
10×swap-sqr_binary64_14026
flip--_binary64_14034 pow1/3_binary64_14141 distribute-lft-out--_binary64_14011 flip3--_binary64_14063
associate-*r*_binary64_13999 associate-*l*_binary64_14000
difference-of-squares_binary64_14028
add-exp-log_binary64_14097
frac-times_binary64_14069 add-log-exp_binary64_14098 add-cbrt-cube_binary64_14095 unswap-sqr_binary64_14027
associate-*l/_binary64_14002 pow-prod-up_binary64_14129 associate-*r/_binary64_14001 pow-prod-down_binary64_14130 pow-sqr_binary64_14032
pow2_binary64_14140 prod-exp_binary64_14108 cbrt-unprod_binary64_14092 pow-plus_binary64_14122 *-commutative_binary64_13990
Counts
4 → 101
Calls

4 calls:

12.0ms
(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
3.0ms
(cbrt.f64 (-.f64 x y))
3.0ms
(cbrt.f64 (-.f64 x y))
3.0ms
(cbrt.f64 (-.f64 x y))

series516.0ms (16.2%)

Counts
4 → 12
Calls

4 calls:

160.0ms
(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
129.0ms
(cbrt.f64 (-.f64 x y))
115.0ms
(cbrt.f64 (-.f64 x y))
111.0ms
(cbrt.f64 (-.f64 x y))

simplify138.0ms (4.3%)

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (105.0ms)

IterNodesCost
049141626
149141626

prune110.0ms (3.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1130113
Fresh000
Picked011
Done022
Total1133116
Error
0b
Counts
116 → 3
Compiler

Compiled 2866 to 893 computations (68.8% saved)

regimes122.0ms (3.8%)

Accuracy

Total 0.0b remaining (78.6%)

Threshold costs 0.0b (78.6%)

Compiler

Compiled 672 to 433 computations (35.6% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04522
14522

end0.0ms (0%)

sample842.0ms (26.4%)

Algorithm
intervals
Results
326.0ms7998×body128valid
0.0msbody1024valid
Compiler

Compiled 237 to 154 computations (35% saved)

Profiling

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