Details

Time bar (total: 2.2s)

analyze140.0ms (6.5%)

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)

sample27.0ms (1.3%)

Algorithm
intervals
Results
19.0ms256×body128valid
Compiler

Compiled 41 to 27 computations (34.1% saved)

simplify41.0ms (1.9%)

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

prune2.0ms (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 (0.4%)

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)

rewrite76.0ms (3.5%)

Algorithm
rewrite-expression-head
Error
0.1b
Rules
10×add-exp-log_binary64
10×pow1_binary64
add-cbrt-cube_binary64
add-log-exp_binary64
add-sqr-sqrt_binary64
Counts
4 → 59
Calls

4 calls:

6.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (*.f64 b b)))
4.0ms
(*.f64 4 (*.f64 b b))
4.0ms
(+.f64 (*.f64 a a) (*.f64 b b))
4.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
Compiler

Compiled 1430 to 623 computations (56.4% saved)

series141.0ms (6.5%)

Error
0b
Counts
4 → 51
Calls

4 calls:

57.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (*.f64 b b)))
38.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
19.0ms
(+.f64 (*.f64 a a) (*.f64 b b))
7.0ms
(*.f64 4 (*.f64 b b))
Compiler

Compiled 1724 to 1354 computations (21.5% saved)

simplify132.0ms (6.1%)

Algorithm
egg-herbie
Rules
682×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
01131770
12991632
28581626
335681626
447051626
549561626
648811626

prune36.0ms (1.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New72173
Fresh000
Picked101
Done000
Total73174
Error
0b
Counts
74 → 1
Alt Table
StatusErrorProgram
0b
(-.f64 (+.f64 (+.f64 (+.f64 (pow.f64 b 4) (*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b)))) (pow.f64 a 4)) (*.f64 4 (*.f64 b b))) 1)
Compiler

Compiled 825 to 410 computations (50.3% saved)

localize14.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

rewrite97.0ms (4.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
37×pow1_binary64
21×add-cbrt-cube_binary64
21×add-exp-log_binary64
18×add-log-exp_binary64
17×pow-prod-down_binary64
Counts
4 → 76
Calls

4 calls:

11.0ms
(+.f64 (+.f64 (+.f64 (pow.f64 b 4) (*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b)))) (pow.f64 a 4)) (*.f64 4 (*.f64 b b)))
7.0ms
(*.f64 (*.f64 a a) (*.f64 b b))
7.0ms
(+.f64 (+.f64 (pow.f64 b 4) (*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b)))) (pow.f64 a 4))
4.0ms
(*.f64 4 (*.f64 b b))
Compiler

Compiled 2330 to 1238 computations (46.9% saved)

series136.0ms (6.3%)

Error
0b
Counts
4 → 45
Calls

4 calls:

55.0ms
(+.f64 (+.f64 (+.f64 (pow.f64 b 4) (*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b)))) (pow.f64 a 4)) (*.f64 4 (*.f64 b b)))
50.0ms
(+.f64 (+.f64 (pow.f64 b 4) (*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b)))) (pow.f64 a 4))
17.0ms
(*.f64 (*.f64 a a) (*.f64 b b))
6.0ms
(*.f64 4 (*.f64 b b))
Compiler

Compiled 1768 to 1384 computations (21.7% saved)

simplify129.0ms (6%)

Algorithm
egg-herbie
Rules
787×distribute-rgt-in_binary64
759×distribute-lft-in_binary64
312×associate-+l+_binary64
162×associate-*l*_binary64
161×cancel-sign-sub-inv_binary64
Counts
121 → 84
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01272453
13252196
212322090
349772090

prune41.0ms (1.9%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New84084
Fresh000
Picked011
Done000
Total84185
Error
0b
Counts
85 → 1
Alt Table
StatusErrorProgram
0b
(-.f64 (+.f64 (+.f64 (+.f64 (pow.f64 b 4) (*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b)))) (pow.f64 a 4)) (*.f64 4 (*.f64 b b))) 1)
Compiler

Compiled 1344 to 772 computations (42.6% saved)

regimes416.0ms (19.2%)

Accuracy

Total -0.0b remaining (-1.5%)

Threshold costs -0.0b (-1.5%)

Compiler

Compiled 8618 to 5779 computations (32.9% saved)

simplify3.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01631
12631
22731
32531

end1.0ms (0%)

Compiler

Compiled 23 to 17 computations (26.1% saved)

sample725.0ms (33.5%)

Algorithm
intervals
Results
428.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 72 to 50 computations (30.6% saved)

Profiling

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