Details

Time bar (total: 2.4s)

analyze390.0ms (16.5%)

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
0%99.9%0.1%5
0%99.9%0.1%6
0%99.9%0.1%7
0%99.9%0.1%8
40.6%56.9%2.5%9
46%49.5%4.4%10
50.3%44.9%4.8%11
60.3%30.5%9.2%12
62.9%25.7%11.4%13
65.2%23.2%11.7%14
Compiler

Compiled 14 to 13 computations (7.1% saved)

sample22.0ms (0.9%)

Algorithm
intervals
Results
11.0ms256×body128valid
1.0ms33×body128invalid
Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify350.0ms (14.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (188.0ms)

IterNodesCost
0178413
1178413

prune5.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2
Compiler

Compiled 31 to 30 computations (3.2% saved)

localize14.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 3/4)) z)) y))
0.0b
(+.f64 x (*.f64 y 3/4))
0.0b
(-.f64 (+.f64 x (*.f64 y 3/4)) z)
0.1b
(/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 3/4)) z)) y)

rewrite33.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
13×add-log-exp_binary64_9886
10×*-un-lft-identity_binary64_9850
add-exp-log_binary64_9885 add-cbrt-cube_binary64_9883
add-sqr-sqrt_binary64_9871
add-cube-cbrt_binary64_9882
pow1_binary64_9908
times-frac_binary64_9856 associate-/r*_binary64_9796 sum-log_binary64_9938
flip--_binary64_9825 associate-*r/_binary64_9794 flip3-+_binary64_9853 +-commutative_binary64_9782 diff-log_binary64_9939 div-exp_binary64_9898 flip-+_binary64_9824 flip3--_binary64_9854 associate-/l/_binary64_9799 cbrt-undiv_binary64_9881
prod-exp_binary64_9896 clear-num_binary64_9849 div-inv_binary64_9847 distribute-lft-out--_binary64_9804 associate-/l*_binary64_9797 sub-neg_binary64_9843 associate--l+_binary64_9789 frac-2neg_binary64_9861 distribute-lft-out_binary64_9803 difference-of-squares_binary64_9819 cbrt-unprod_binary64_9880
Counts
4 → 61
Calls

4 calls:

10.0ms
(/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 3/4)) z)) y)
7.0ms
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 3/4)) z)) y))
7.0ms
(-.f64 (+.f64 x (*.f64 y 3/4)) z)
4.0ms
(+.f64 x (*.f64 y 3/4))

series195.0ms (8.2%)

Counts
4 → 12
Calls

4 calls:

75.0ms
(/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 3/4)) z)) y)
53.0ms
(+.f64 1 (/.f64 (*.f64 4 (-.f64 (+.f64 x (*.f64 y 3/4)) z)) y))
33.0ms
(+.f64 x (*.f64 y 3/4))
33.0ms
(-.f64 (+.f64 x (*.f64 y 3/4)) z)

simplify93.0ms (3.9%)

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
049231276
149231276

prune78.0ms (3.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New72173
Fresh011
Picked011
Done000
Total72375

Merged error: 0b

Counts
75 → 3
Compiler

Compiled 1365 to 950 computations (30.4% saved)

localize8.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b
(-.f64 (+.f64 (/.f64 x y) 1) (/.f64 z y))

rewrite22.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_9871 *-un-lft-identity_binary64_9850 add-log-exp_binary64_9886
distribute-lft-out--_binary64_9804 diff-log_binary64_9939 frac-sub_binary64_9859 difference-of-squares_binary64_9819
flip--_binary64_9825 pow1_binary64_9908 flip3-+_binary64_9853 times-frac_binary64_9856 add-exp-log_binary64_9885 sum-log_binary64_9938 add-cube-cbrt_binary64_9882 sub-neg_binary64_9843 associate--l+_binary64_9789 flip-+_binary64_9824 flip3--_binary64_9854 distribute-lft-out_binary64_9803 add-cbrt-cube_binary64_9883
Counts
1 → 19
Calls

1 calls:

20.0ms
(-.f64 (+.f64 (/.f64 x y) 1) (/.f64 z y))

series35.0ms (1.5%)

Counts
1 → 3
Calls

1 calls:

35.0ms
(-.f64 (+.f64 (/.f64 x y) 1) (/.f64 z y))

simplify101.0ms (4.3%)

Algorithm
egg-herbie
Counts
22 → 22
Iterations

Useful iterations: 0 (90.0ms)

IterNodesCost
04944482
14944482

prune20.0ms (0.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New22022
Fresh011
Picked011
Done011
Total22325

Merged error: 0b

Counts
25 → 3
Compiler

Compiled 426 to 218 computations (48.8% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 4 (*.f64 (/.f64 4 y) (-.f64 x z)))
0.3b
(*.f64 (/.f64 4 y) (-.f64 x z))

rewrite19.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64_9871
13×associate-*l*_binary64_9793
12×*-un-lft-identity_binary64_9850
10×times-frac_binary64_9856 add-cube-cbrt_binary64_9882
add-exp-log_binary64_9885 add-cbrt-cube_binary64_9883
associate-*r*_binary64_9792
pow1_binary64_9908 sub-neg_binary64_9843 add-log-exp_binary64_9886
prod-exp_binary64_9896 flip--_binary64_9825 associate-*r/_binary64_9794 frac-times_binary64_9860 unswap-sqr_binary64_9818 distribute-lft-in_binary64_9801 associate-+r+_binary64_9784 distribute-rgt-in_binary64_9802 flip3--_binary64_9854 cbrt-unprod_binary64_9880
flip3-+_binary64_9853 div-inv_binary64_9847 *-commutative_binary64_9783 distribute-lft-out--_binary64_9804 sum-log_binary64_9938 +-commutative_binary64_9782 div-exp_binary64_9898 flip-+_binary64_9824 pow-prod-down_binary64_9918 difference-of-squares_binary64_9819 associate-*l/_binary64_9795 cbrt-undiv_binary64_9881
Counts
2 → 53
Calls

2 calls:

11.0ms
(*.f64 (/.f64 4 y) (-.f64 x z))
4.0ms
(+.f64 4 (*.f64 (/.f64 4 y) (-.f64 x z)))

series132.0ms (5.6%)

Counts
2 → 6
Calls

2 calls:

88.0ms
(*.f64 (/.f64 4 y) (-.f64 x z))
43.0ms
(+.f64 4 (*.f64 (/.f64 4 y) (-.f64 x z)))

simplify78.0ms (3.3%)

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
04971840
14971840

prune51.0ms (2.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New59059
Fresh000
Picked011
Done022
Total59362

Merged error: 0b

Counts
62 → 3
Compiler

Compiled 876 to 516 computations (41.1% saved)

regimes56.0ms (2.4%)

Compiler

Compiled 219 to 217 computations (0.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03016
13016

end0.0ms (0%)

sample655.0ms (27.7%)

Algorithm
intervals
Results
331.0ms8000×body128valid
38.0ms958×body128invalid
Compiler

Compiled 58 to 57 computations (1.7% saved)

Profiling

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