Details

Time bar (total: 2.7s)

analyze132.0ms (4.9%)

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 (0.7%)

Algorithm
intervals
Results
10.0ms256×body128valid
Compiler

Compiled 41 to 27 computations (34.1% saved)

simplify44.0ms (1.6%)

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)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite116.0ms (4.2%)

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:

8.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (*.f64 b b)))
6.0ms
(*.f64 4 (*.f64 b b))
6.0ms
(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)

series172.0ms (6.3%)

Error
0.0b
Counts
4 → 51
Calls

4 calls:

67.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (*.f64 b b)))
44.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
25.0ms
(+.f64 (*.f64 a a) (*.f64 b b))
7.0ms
(*.f64 4 (*.f64 b b))
Compiler

Compiled 1774 to 1392 computations (21.5% saved)

simplify143.0ms (5.2%)

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

prune52.0ms (1.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New71273
Fresh000
Picked101
Done000
Total72274
Error
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)
0.1b
(-.f64 (+.f64 (pow.f64 a 4) (*.f64 (*.f64 b b) (+.f64 (*.f64 b b) (+.f64 4 (*.f64 2 (*.f64 a a)))))) 1)
Compiler

Compiled 871 to 440 computations (49.5% saved)

localize15.0ms (0.6%)

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))
1.8b
(*.f64 (*.f64 a a) (*.f64 b b))

rewrite165.0ms (6%)

Algorithm
rewrite-expression-head
Error
0b
Rules
55×pow1_binary64
39×add-cbrt-cube_binary64
39×add-exp-log_binary64
30×pow-prod-down_binary64
24×cbrt-unprod_binary64
Counts
4 → 89
Calls

4 calls:

25.0ms
(+.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)))
16.0ms
(*.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)

series132.0ms (4.8%)

Error
0b
Counts
4 → 33
Calls

4 calls:

68.0ms
(+.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)))
23.0ms
(*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b)))
22.0ms
(*.f64 (*.f64 a a) (*.f64 b b))
8.0ms
(*.f64 4 (*.f64 b b))
Compiler

Compiled 1488 to 1174 computations (21.1% saved)

simplify118.0ms (4.3%)

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

prune54.0ms (2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New82082
Fresh011
Picked011
Done000
Total82284
Error
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)
0.1b
(-.f64 (+.f64 (pow.f64 a 4) (*.f64 (*.f64 b b) (+.f64 (*.f64 b b) (+.f64 4 (*.f64 2 (*.f64 a a)))))) 1)
Compiler

Compiled 1102 to 647 computations (41.3% saved)

localize13.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 4 (*.f64 2 (*.f64 a a)))
0.0b
(*.f64 2 (*.f64 a a))
1.4b
(*.f64 (*.f64 b b) (+.f64 (*.f64 b b) (+.f64 4 (*.f64 2 (*.f64 a a)))))

rewrite90.0ms (3.3%)

Algorithm
rewrite-expression-head
Error
0b
Rules
13×add-cbrt-cube_binary64
13×add-exp-log_binary64
13×pow1_binary64
add-sqr-sqrt_binary64
cbrt-unprod_binary64
Counts
3 → 53
Calls

3 calls:

11.0ms
(*.f64 (*.f64 b b) (+.f64 (*.f64 b b) (+.f64 4 (*.f64 2 (*.f64 a a)))))
6.0ms
(*.f64 2 (*.f64 a a))
3.0ms
(+.f64 4 (*.f64 2 (*.f64 a a)))
Compiler

Compiled 1499 to 823 computations (45.1% saved)

series77.0ms (2.8%)

Error
0b
Counts
3 → 21
Calls

3 calls:

41.0ms
(*.f64 (*.f64 b b) (+.f64 (*.f64 b b) (+.f64 4 (*.f64 2 (*.f64 a a)))))
14.0ms
(+.f64 4 (*.f64 2 (*.f64 a a)))
8.0ms
(*.f64 2 (*.f64 a a))
Compiler

Compiled 910 to 684 computations (24.8% saved)

simplify122.0ms (4.5%)

Algorithm
egg-herbie
Rules
693×distribute-rgt-in_binary64
669×distribute-lft-in_binary64
344×unswap-sqr_binary64
315×*-commutative_binary64
217×cancel-sign-sub-inv_binary64
Counts
74 → 54
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01111290
13001161
210041149
333861149
446651149
549811149
649391149

prune51.0ms (1.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New54054
Fresh000
Picked011
Done011
Total54256
Error
0b
Counts
56 → 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)
0.1b
(-.f64 (+.f64 (pow.f64 a 4) (*.f64 (*.f64 b b) (+.f64 (*.f64 b b) (+.f64 4 (*.f64 2 (*.f64 a a)))))) 1)
Compiler

Compiled 957 to 576 computations (39.8% saved)

regimes541.0ms (19.9%)

Accuracy

Total 0.0b remaining (33.5%)

Threshold costs 0.0b (33.5%)

Compiler

Compiled 9575 to 6477 computations (32.4% saved)

simplify3.0ms (0.1%)

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)

sample653.0ms (24%)

Algorithm
intervals
Results
334.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 95 to 65 computations (31.6% saved)

Profiling

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