Details

Time bar (total: 3.1s)

analyze136.0ms (4.4%)

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)

sample24.0ms (0.8%)

Algorithm
intervals
Results
14.0ms256×body128valid
Compiler

Compiled 41 to 27 computations (34.1% saved)

simplify45.0ms (1.5%)

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

prune3.0ms (0.1%)

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)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite122.0ms (4%)

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)

series190.0ms (6.2%)

Error
0.0b
Counts
4 → 51
Calls

4 calls:

78.0ms
(+.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)
25.0ms
(+.f64 (*.f64 a a) (*.f64 b b))
8.0ms
(*.f64 4 (*.f64 b b))
Compiler

Compiled 1774 to 1392 computations (21.5% saved)

simplify142.0ms (4.6%)

Algorithm
egg-herbie
Rules
684×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

prune46.0ms (1.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New71273
Fresh000
Picked011
Done000
Total71374
Error
0b
Counts
74 → 3
Alt Table
StatusErrorProgram
11.6b
(-.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 6)) (*.f64 4 (*.f64 b b))) 1)
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 884 to 448 computations (49.3% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
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)))
1.2b
(*.f64 (*.f64 a a) (*.f64 b b))

rewrite368.0ms (12%)

Algorithm
rewrite-expression-head
Error
0b
Rules
50×pow1_binary64
34×add-exp-log_binary64 add-cbrt-cube_binary64
27×pow-prod-down_binary64
21×prod-exp_binary64 cbrt-unprod_binary64
18×add-log-exp_binary64
Counts
4 → 83
Calls

4 calls:

209.0ms
(*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b)))
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)))
19.0ms
(+.f64 (*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
10.0ms
(*.f64 (*.f64 a a) (*.f64 b b))
Compiler

Compiled 2566 to 1319 computations (48.6% saved)

series209.0ms (6.8%)

Error
0b
Counts
4 → 48
Calls

4 calls:

78.0ms
(+.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)))
66.0ms
(+.f64 (*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
30.0ms
(*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b)))
21.0ms
(*.f64 (*.f64 a a) (*.f64 b b))
Compiler

Compiled 1930 to 1519 computations (21.3% saved)

simplify79.0ms (2.6%)

Algorithm
egg-herbie
Rules
786×distribute-rgt-in_binary64
731×distribute-lft-in_binary64
274×cancel-sign-sub-inv_binary64
207×associate-*r*_binary64
205×associate-*l*_binary64
Counts
131 → 80
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01332692
13442435
214902302
350042302

prune45.0ms (1.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New80080
Fresh011
Picked011
Done011
Total80383
Error
0b
Counts
83 → 3
Alt Table
StatusErrorProgram
11.6b
(-.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 6)) (*.f64 4 (*.f64 b b))) 1)
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 976 to 578 computations (40.8% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 a a) (*.f64 b b))
0.0b
(+.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 6)) (*.f64 4 (*.f64 b b)))
0.3b
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 6)
23.2b
(cbrt.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 6))

rewrite88.0ms (2.9%)

Algorithm
rewrite-expression-head
Error
0b
Rules
add-log-exp_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
cbrt-prod_binary64
unpow-prod-down_binary64
pow1_binary64 add-exp-log_binary64
add-cbrt-cube_binary64
Counts
4 → 54
Calls

4 calls:

11.0ms
(+.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 6)) (*.f64 4 (*.f64 b b)))
5.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 6)
4.0ms
(cbrt.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 6))
4.0ms
(+.f64 (*.f64 a a) (*.f64 b b))
Compiler

Compiled 1484 to 665 computations (55.2% saved)

series200.0ms (6.6%)

Error
0b
Counts
4 → 54
Calls

4 calls:

84.0ms
(+.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 6)) (*.f64 4 (*.f64 b b)))
51.0ms
(cbrt.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 6))
27.0ms
(+.f64 (*.f64 a a) (*.f64 b b))
18.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 6)
Compiler

Compiled 1916 to 1514 computations (21% saved)

simplify118.0ms (3.9%)

Algorithm
egg-herbie
Rules
706×associate-*l*_binary64
333×log-prod_binary64
258×distribute-lft-out_binary64
247×exp-prod_binary64
234×cancel-sign-sub-inv_binary64
Counts
108 → 74
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01082036
12891888
28321811
327671732
447081732
549321732

prune42.0ms (1.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New74074
Fresh000
Picked011
Done022
Total74377
Error
0b
Counts
77 → 3
Alt Table
StatusErrorProgram
11.6b
(-.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 6)) (*.f64 4 (*.f64 b b))) 1)
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 910 to 448 computations (50.8% saved)

regimes466.0ms (15.3%)

Accuracy

Total 0.0b remaining (48.5%)

Threshold costs 0.0b (48.5%)

Compiler

Compiled 8816 to 5637 computations (36.1% saved)

simplify3.0ms (0.1%)

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)

sample692.0ms (22.7%)

Algorithm
intervals
Results
342.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 113 to 77 computations (31.9% saved)

Profiling

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