Details

Time bar (total: 2.5s)

analyze148.0ms (5.9%)

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)

sample22.0ms (0.9%)

Algorithm
intervals
Results
13.0ms256×body128valid
Compiler

Compiled 41 to 27 computations (34.1% saved)

simplify42.0ms (1.7%)

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 3 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 4 (*.f64 b b))
0.3b
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)

rewrite65.0ms (2.6%)

Algorithm
rewrite-expression-head
Error
0.1b
Rules
add-exp-log_binary64
pow1_binary64
add-cbrt-cube_binary64
add-sqr-sqrt_binary64
*-un-lft-identity_binary64
Counts
3 → 48
Calls

3 calls:

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

Compiled 1161 to 526 computations (54.7% saved)

series123.0ms (4.9%)

Error
0.0b
Counts
3 → 39
Calls

3 calls:

62.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (*.f64 b b)))
40.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
6.0ms
(*.f64 4 (*.f64 b b))
Compiler

Compiled 1363 to 1072 computations (21.3% saved)

simplify116.0ms (4.6%)

Algorithm
egg-herbie
Rules
720×unswap-sqr_binary64
424×exp-prod_binary64
410×associate-*l*_binary64
337×associate-*r*_binary64
293×cancel-sign-sub-inv_binary64
Counts
87 → 56
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0971551
12271408
25971390
320771390
442001390
546861390
649821390

prune30.0ms (1.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New54256
Fresh000
Picked101
Done000
Total55257
Error
0b
Counts
57 → 2
Alt Table
StatusErrorProgram
15.9b
(-.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 (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 713 to 360 computations (49.5% saved)

localize14.0ms (0.6%)

Local error

Found 3 expressions with local error:

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))
2.5b
(*.f64 (*.f64 a a) (*.f64 b b))

rewrite76.0ms (3.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
36×pow1_binary64
20×add-cbrt-cube_binary64
20×add-exp-log_binary64
17×pow-prod-down_binary64
12×add-log-exp_binary64
Counts
3 → 62
Calls

3 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))
4.0ms
(*.f64 4 (*.f64 b b))
Compiler

Compiled 1800 to 954 computations (47% saved)

series94.0ms (3.8%)

Error
0b
Counts
3 → 27
Calls

3 calls:

62.0ms
(+.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)))
18.0ms
(*.f64 (*.f64 a a) (*.f64 b b))
7.0ms
(*.f64 4 (*.f64 b b))
Compiler

Compiled 1139 to 902 computations (20.8% saved)

simplify97.0ms (3.9%)

Algorithm
egg-herbie
Rules
601×distribute-rgt-in_binary64
586×distribute-lft-in_binary64
576×unswap-sqr_binary64
352×*-commutative_binary64
197×associate-+l+_binary64
Counts
89 → 61
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01091657
12661412
29571333
334831318
449511318
548921318

prune36.0ms (1.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New61061
Fresh011
Picked011
Done000
Total61263
Error
0b
Counts
63 → 2
Alt Table
StatusErrorProgram
15.9b
(-.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 (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 952 to 567 computations (40.4% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 6)) (*.f64 4 (*.f64 b b)))
0.0b
(*.f64 4 (*.f64 b b))
0.3b
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 6)
25.2b
(cbrt.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 6))

rewrite68.0ms (2.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
10×add-sqr-sqrt_binary64
10×add-exp-log_binary64
10×pow1_binary64
*-un-lft-identity_binary64
add-cube-cbrt_binary64
Counts
4 → 62
Calls

4 calls:

7.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 6)
6.0ms
(+.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 6)) (*.f64 4 (*.f64 b b)))
4.0ms
(*.f64 4 (*.f64 b b))
4.0ms
(cbrt.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 6))
Compiler

Compiled 1585 to 751 computations (52.6% saved)

series169.0ms (6.8%)

Error
0b
Counts
4 → 60
Calls

4 calls:

61.0ms
(+.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 6)) (*.f64 4 (*.f64 b b)))
46.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 6)
39.0ms
(cbrt.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 6))
6.0ms
(*.f64 4 (*.f64 b b))
Compiler

Compiled 2240 to 1759 computations (21.5% saved)

simplify88.0ms (3.5%)

Algorithm
egg-herbie
Rules
789×distribute-rgt-in_binary64
759×distribute-lft-in_binary64
302×*-commutative_binary64
178×unswap-sqr_binary64
136×sqr-pow_binary64
Counts
122 → 84
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01432487
13302289
29322212
319902143
453172143

prune32.0ms (1.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh000
Picked011
Done011
Total84286
Error
0b
Counts
86 → 2
Alt Table
StatusErrorProgram
15.9b
(-.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 (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 1010 to 527 computations (47.8% saved)

regimes475.0ms (19.1%)

Accuracy

Total 0.0b remaining (18.4%)

Threshold costs 0.0b (18.4%)

Compiler

Compiled 10701 to 7118 computations (33.5% 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)

sample773.0ms (31%)

Algorithm
intervals
Results
444.0ms8000×body128valid
1.0ms10×body128invalid
Compiler

Compiled 92 to 63 computations (31.5% saved)

Profiling

Loading profile data...