Details

Time bar (total: 2.4s)

analyze135.0ms (5.7%)

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
25%74.9%0.1%5
25%50%25.1%6
25%31.2%43.8%7
25%21.9%53.2%8
25%14%61%9
28.1%10.9%61%10
31.6%7.4%61%11
33.4%5.7%61%12
35.2%3.8%61%13
36.1%2.9%61%14
Compiler

Compiled 20 to 13 computations (35% saved)

sample19.0ms (0.8%)

Algorithm
intervals
Results
10.0ms256×body128valid
Compiler

Compiled 41 to 27 computations (34.1% saved)

simplify44.0ms (1.8%)

Algorithm
egg-herbie
Rules
785×distribute-rgt-neg-in_binary64
770×unswap-sqr_binary64
631×associate-*l*_binary64
289×sub-neg_binary64
232×associate-+l+_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01325
12925
25025
313825
437425
5111725
6283925
7514025

prune6.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
0.2b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.2b
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (*.f64 b b))) 1)
Compiler

Compiled 57 to 36 computations (36.8% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 a a) (*.f64 b b))
0.0b
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (*.f64 b b)))
0.0b
(*.f64 4 (*.f64 b b))
0.3b
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)

rewrite111.0ms (4.7%)

Algorithm
rewrite-expression-head
Error
0.1b
Rules
10×pow1_binary64 add-exp-log_binary64
add-cbrt-cube_binary64
add-sqr-sqrt_binary64 add-log-exp_binary64
add-cube-cbrt_binary64 *-un-lft-identity_binary64
unpow-prod-down_binary64 pow-unpow_binary64 pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 associate-*l*_binary64
Counts
4 → 59
Calls

4 calls:

8.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (*.f64 b b)))
5.0ms
(*.f64 4 (*.f64 b b))
5.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
4.0ms
(+.f64 (*.f64 a a) (*.f64 b b))
Compiler

Compiled 1430 to 623 computations (56.4% saved)

series189.0ms (7.9%)

Error
0.0b
Counts
4 → 51
Calls

4 calls:

76.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (*.f64 b b)))
50.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
27.0ms
(+.f64 (*.f64 a a) (*.f64 b b))
8.0ms
(*.f64 4 (*.f64 b b))
Compiler

Compiled 1774 to 1392 computations (21.5% saved)

simplify146.0ms (6.1%)

Algorithm
egg-herbie
Rules
681×associate-*l*_binary64
585×associate-*r*_binary64
408×distribute-rgt-neg-in_binary64
301×exp-prod_binary64
242×distribute-rgt-in_binary64
Counts
110 → 73
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01161770
13011632
28571626
335721626
447211626
549721626
648811626

prune42.0ms (1.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New72173
Fresh000
Picked011
Done000
Total72274
Error
0.0b
Counts
74 → 2
Alt Table
StatusErrorProgram
0.0b
(-.f64 (+.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 4 (*.f64 b b))) 1)
0.2b
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (*.f64 b b))) 1)
Compiler

Compiled 844 to 422 computations (50% saved)

localize18.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 4 (*.f64 b b)))
0.0b
(*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b)))
0.0b
(*.f64 4 (*.f64 b b))
2.2b
(*.f64 (*.f64 a a) (*.f64 b b))

rewrite153.0ms (6.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
55×pow1_binary64
39×add-exp-log_binary64 add-cbrt-cube_binary64
30×pow-prod-down_binary64
24×prod-exp_binary64 cbrt-unprod_binary64
13×add-log-exp_binary64
Counts
4 → 89
Calls

4 calls:

23.0ms
(+.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 4 (*.f64 b b)))
13.0ms
(*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b)))
9.0ms
(*.f64 (*.f64 a a) (*.f64 b b))
6.0ms
(*.f64 4 (*.f64 b b))
Compiler

Compiled 2528 to 1303 computations (48.5% saved)

series149.0ms (6.2%)

Error
0.0b
Counts
4 → 33
Calls

4 calls:

80.0ms
(+.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 4 (*.f64 b b)))
27.0ms
(*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b)))
24.0ms
(*.f64 (*.f64 a a) (*.f64 b b))
9.0ms
(*.f64 4 (*.f64 b b))
Compiler

Compiled 1488 to 1174 computations (21.1% saved)

simplify131.0ms (5.5%)

Algorithm
egg-herbie
Rules
659×distribute-rgt-in_binary64
636×distribute-lft-in_binary64
244×associate-+l+_binary64
195×associate-*r*_binary64
190×associate-+r+_binary64
Counts
122 → 82
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01382222
13111893
212531790
349171790
449921790
549711790

prune49.0ms (2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New82082
Fresh000
Picked011
Done011
Total82284
Error
0.0b
Counts
84 → 2
Alt Table
StatusErrorProgram
0.0b
(-.f64 (+.f64 (+.f64 (*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (*.f64 4 (*.f64 b b))) 1)
0.2b
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (*.f64 b b))) 1)
Compiler

Compiled 1075 to 629 computations (41.5% saved)

regimes319.0ms (13.3%)

Accuracy

Total 0.0b remaining (28.4%)

Threshold costs 0.0b (28.4%)

Compiler

Compiled 5658 to 3603 computations (36.3% saved)

simplify5.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
1-exp_binary64 sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01734
12834
22934
32734

end1.0ms (0%)

Compiler

Compiled 25 to 19 computations (24% saved)

sample860.0ms (36%)

Algorithm
intervals
Results
334.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 93 to 64 computations (31.2% saved)

Profiling

Loading profile data...