Details

Time bar (total: 3.6s)

analyze135.0ms (3.8%)

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)

sample20.0ms (0.6%)

Algorithm
intervals
Results
11.0ms256×body128valid
Compiler

Compiled 41 to 27 computations (34.1% saved)

simplify40.0ms (1.1%)

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 (0.3%)

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)

rewrite117.0ms (3.3%)

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

Compiled 1430 to 623 computations (56.4% saved)

series192.0ms (5.4%)

Error
0.0b
Counts
4 → 51
Calls

4 calls:

79.0ms
(+.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)

simplify141.0ms (4%)

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 (1.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New71273
Fresh000
Picked101
Done000
Total72274
Error
0b
Counts
74 → 2
Alt Table
StatusErrorProgram
0.1b
(-.f64 (+.f64 (pow.f64 a 4) (*.f64 (*.f64 b b) (+.f64 (*.f64 b b) (+.f64 4 (*.f64 2 (*.f64 a a)))))) 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)
Compiler

Compiled 871 to 440 computations (49.5% saved)

localize14.0ms (0.4%)

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))
2.6b
(*.f64 (*.f64 a a) (*.f64 b b))

rewrite160.0ms (4.5%)

Algorithm
rewrite-expression-head
Error
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)))
12.0ms
(*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b)))
9.0ms
(*.f64 (*.f64 a a) (*.f64 b b))
5.0ms
(*.f64 4 (*.f64 b b))
Compiler

Compiled 2528 to 1303 computations (48.5% saved)

series148.0ms (4.2%)

Error
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)))
25.0ms
(*.f64 2 (*.f64 (*.f64 a a) (*.f64 b b)))
22.0ms
(*.f64 (*.f64 a a) (*.f64 b b))
10.0ms
(*.f64 4 (*.f64 b b))
Compiler

Compiled 1488 to 1174 computations (21.1% saved)

simplify120.0ms (3.4%)

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 (1.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New82082
Fresh011
Picked011
Done000
Total82284
Error
0b
Counts
84 → 2
Alt Table
StatusErrorProgram
0.1b
(-.f64 (+.f64 (pow.f64 a 4) (*.f64 (*.f64 b b) (+.f64 (*.f64 b b) (+.f64 4 (*.f64 2 (*.f64 a a)))))) 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)
Compiler

Compiled 1102 to 647 computations (41.3% saved)

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (+.f64 (pow.f64 a 4) (*.f64 (*.f64 b b) (+.f64 (*.f64 b b) (+.f64 4 (*.f64 2 (*.f64 a a)))))) 1)
0.0b
(*.f64 2 (*.f64 a a))
0.9b
(*.f64 (*.f64 b b) (+.f64 (*.f64 b b) (+.f64 4 (*.f64 2 (*.f64 a a)))))

rewrite105.0ms (3%)

Algorithm
rewrite-expression-head
Error
0b
Rules
13×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
12×add-sqr-sqrt_binary64
*-un-lft-identity_binary64
add-log-exp_binary64
pow-prod-down_binary64 prod-exp_binary64 add-cube-cbrt_binary64 cbrt-unprod_binary64
Counts
3 → 62
Calls

3 calls:

10.0ms
(*.f64 (*.f64 b b) (+.f64 (*.f64 b b) (+.f64 4 (*.f64 2 (*.f64 a a)))))
8.0ms
(-.f64 (+.f64 (pow.f64 a 4) (*.f64 (*.f64 b b) (+.f64 (*.f64 b b) (+.f64 4 (*.f64 2 (*.f64 a a)))))) 1)
6.0ms
(*.f64 2 (*.f64 a a))
Compiler

Compiled 1857 to 1021 computations (45% saved)

series374.0ms (10.5%)

Error
0b
Counts
3 → 33
Calls

3 calls:

83.0ms
(-.f64 (+.f64 (pow.f64 a 4) (*.f64 (*.f64 b b) (+.f64 (*.f64 b b) (+.f64 4 (*.f64 2 (*.f64 a a)))))) 1)
49.0ms
(*.f64 (*.f64 b b) (+.f64 (*.f64 b b) (+.f64 4 (*.f64 2 (*.f64 a a)))))
8.0ms
(*.f64 2 (*.f64 a a))
Compiler

Compiled 1336 to 1066 computations (20.2% saved)

simplify145.0ms (4.1%)

Algorithm
egg-herbie
Rules
555×+-commutative_binary64
363×exp-sum_binary64
339×*-commutative_binary64
307×unswap-sqr_binary64
302×exp-prod_binary64
Counts
95 → 72
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01482319
13502118
212062082
324352082
444922082
549662082
649952082

prune63.0ms (1.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New72072
Fresh000
Picked011
Done011
Total72274
Error
0b
Counts
74 → 2
Alt Table
StatusErrorProgram
0.1b
(-.f64 (+.f64 (pow.f64 a 4) (*.f64 (*.f64 b b) (+.f64 (*.f64 b b) (+.f64 4 (*.f64 2 (*.f64 a a)))))) 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)
Compiler

Compiled 1229 to 755 computations (38.6% saved)

regimes946.0ms (26.6%)

Accuracy

Total 0.0b remaining (29.7%)

Threshold costs 0.0b (29.7%)

Compiler

Compiled 17740 to 11595 computations (34.6% 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
01737
12837
22937
32737

end1.0ms (0%)

Compiler

Compiled 27 to 18 computations (33.3% saved)

sample698.0ms (19.6%)

Algorithm
intervals
Results
370.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 99 to 66 computations (33.3% saved)

Profiling

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