Details

Time bar (total: 2.5s)

analyze356.0ms (14.5%)

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
14%85.8%0.1%7
22.6%77.2%0.1%8
23.8%74.5%1.7%9
40%56%4%10
47.3%48.7%4%11
48.4%45.8%5.8%12
58.6%32.4%9%13
63.4%27.5%9%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample15.0ms (0.6%)

Algorithm
intervals
Results
7.0ms256×body128valid
1.0ms20×body128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify174.0ms (7.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
04210
14210

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 10.3b

Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 x (+.f64 y z))
9.8b
(/.f64 (*.f64 x (+.f64 y z)) z)

rewrite17.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
add-exp-log_binary64_11907 add-cbrt-cube_binary64_11905
add-sqr-sqrt_binary64_11893 *-un-lft-identity_binary64_11872
add-cube-cbrt_binary64_11904
associate-*r/_binary64_11816 pow1_binary64_11930 associate-*r*_binary64_11814
times-frac_binary64_11878 associate-*l*_binary64_11815 associate-/r*_binary64_11818
cbrt-undiv_binary64_11903 div-exp_binary64_11920 prod-exp_binary64_11918 associate-/l/_binary64_11821 flip-+_binary64_11846 cbrt-unprod_binary64_11902 add-log-exp_binary64_11908 flip3-+_binary64_11875
div-inv_binary64_11869 distribute-lft-in_binary64_11823 distribute-rgt-in_binary64_11824 pow-prod-down_binary64_11940 unswap-sqr_binary64_11840 clear-num_binary64_11871 associate-/l*_binary64_11819 frac-2neg_binary64_11883 distribute-lft-out_binary64_11825 *-commutative_binary64_11805
Counts
2 → 46
Calls

2 calls:

7.0ms
(/.f64 (*.f64 x (+.f64 y z)) z)
7.0ms
(*.f64 x (+.f64 y z))

series141.0ms (5.7%)

Counts
2 → 6
Calls

2 calls:

84.0ms
(/.f64 (*.f64 x (+.f64 y z)) z)
56.0ms
(*.f64 x (+.f64 y z))

simplify64.0ms (2.6%)

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
05635553

prune37.0ms (1.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New47552
Fresh000
Picked011
Done000
Total47653

Merged error: 0.0b

Counts
53 → 6
Compiler

Compiled 620 to 186 computations (70% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 z (+.f64 y z))
3.5b
(/.f64 x (/.f64 z (+.f64 y z)))

rewrite27.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
114×times-frac_binary64_11878
94×*-un-lft-identity_binary64_11872
62×add-sqr-sqrt_binary64_11893 add-cube-cbrt_binary64_11904
22×associate-/r*_binary64_11818
16×distribute-lft-out_binary64_11825
11×associate-/r/_binary64_11820
add-exp-log_binary64_11907 add-cbrt-cube_binary64_11905
div-inv_binary64_11869 associate-/l*_binary64_11819
flip-+_binary64_11846 flip3-+_binary64_11875
cbrt-undiv_binary64_11903 div-exp_binary64_11920
clear-num_binary64_11871 pow1_binary64_11930 frac-2neg_binary64_11883 add-log-exp_binary64_11908
Counts
2 → 123
Calls

2 calls:

9.0ms
(/.f64 x (/.f64 z (+.f64 y z)))
5.0ms
(/.f64 z (+.f64 y z))

series146.0ms (6%)

Counts
2 → 6
Calls

2 calls:

92.0ms
(/.f64 x (/.f64 z (+.f64 y z)))
54.0ms
(/.f64 z (+.f64 y z))

simplify88.0ms (3.6%)

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
052872384

prune84.0ms (3.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1281129
Fresh134
Picked011
Done011
Total1296135

Merged error: 0b

Counts
135 → 6
Compiler

Compiled 1972 to 391 computations (80.2% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (+.f64 y z) z)
3.7b
(*.f64 x (/.f64 (+.f64 y z) z))

rewrite21.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity_binary64_11872
25×times-frac_binary64_11878 add-sqr-sqrt_binary64_11893
20×add-cube-cbrt_binary64_11904
16×associate-*r*_binary64_11814
add-exp-log_binary64_11907 add-cbrt-cube_binary64_11905
distribute-lft-out_binary64_11825
associate-/l*_binary64_11819 pow1_binary64_11930
associate-*l*_binary64_11815 associate-/r*_binary64_11818
cbrt-undiv_binary64_11903 div-exp_binary64_11920 div-inv_binary64_11869 prod-exp_binary64_11918 associate-/l/_binary64_11821 cbrt-unprod_binary64_11902 unswap-sqr_binary64_11840 add-log-exp_binary64_11908
associate-*r/_binary64_11816 pow-prod-down_binary64_11940 flip-+_binary64_11846 clear-num_binary64_11871 frac-2neg_binary64_11883 *-commutative_binary64_11805 flip3-+_binary64_11875
Counts
2 → 68
Calls

2 calls:

10.0ms
(*.f64 x (/.f64 (+.f64 y z) z))
6.0ms
(/.f64 (+.f64 y z) z)

series121.0ms (4.9%)

Counts
2 → 6
Calls

2 calls:

81.0ms
(*.f64 x (/.f64 (+.f64 y z) z))
40.0ms
(/.f64 (+.f64 y z) z)

simplify64.0ms (2.6%)

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04972932
14972932

prune46.0ms (1.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New74074
Fresh033
Picked011
Done022
Total74680

Merged error: 0b

Counts
80 → 6
Compiler

Compiled 960 to 230 computations (76% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 x (+.f64 y z))
0.2b
(/.f64 1 (/.f64 z (*.f64 x (+.f64 y z))))
9.8b
(/.f64 z (*.f64 x (+.f64 y z)))

rewrite31.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
42×times-frac_binary64_11878
31×add-exp-log_binary64_11907
27×add-sqr-sqrt_binary64_11893 *-un-lft-identity_binary64_11872
25×add-cube-cbrt_binary64_11904
19×add-cbrt-cube_binary64_11905
14×div-exp_binary64_11920
12×associate-*r/_binary64_11816
11×associate-/r/_binary64_11820
10×associate-/r*_binary64_11818
cbrt-undiv_binary64_11903
div-inv_binary64_11869 flip-+_binary64_11846 associate-/l*_binary64_11819 pow1_binary64_11930 flip3-+_binary64_11875
prod-exp_binary64_11918
associate-*r*_binary64_11814
rec-exp_binary64_11919 associate-*l*_binary64_11815 1-exp_binary64_11913 cbrt-unprod_binary64_11902 add-log-exp_binary64_11908
clear-num_binary64_11871 frac-2neg_binary64_11883
pow-flip_binary64_11943 inv-pow_binary64_11954 distribute-lft-in_binary64_11823 distribute-rgt-in_binary64_11824 pow-prod-down_binary64_11940 unswap-sqr_binary64_11840 distribute-lft-out_binary64_11825 *-commutative_binary64_11805
Counts
3 → 110
Calls

3 calls:

9.0ms
(/.f64 1 (/.f64 z (*.f64 x (+.f64 y z))))
7.0ms
(/.f64 z (*.f64 x (+.f64 y z)))
6.0ms
(*.f64 x (+.f64 y z))

series202.0ms (8.2%)

Counts
3 → 9
Calls

3 calls:

80.0ms
(/.f64 1 (/.f64 z (*.f64 x (+.f64 y z))))
71.0ms
(/.f64 z (*.f64 x (+.f64 y z)))
52.0ms
(*.f64 x (+.f64 y z))

simplify72.0ms (2.9%)

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049731680
149731680

prune71.0ms (2.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1181119
Fresh112
Picked101
Done033
Total1205125

Merged error: 0b

Counts
125 → 5
Compiler

Compiled 1605 to 513 computations (68% saved)

regimes105.0ms (4.3%)

Compiler

Compiled 160 to 150 computations (6.3% saved)

bsearch1.0ms (0%)

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
027110
127110

end0.0ms (0%)

sample544.0ms (22.2%)

Algorithm
intervals
Results
219.0ms8000×body128valid
19.0ms735×body128invalid
Compiler

Compiled 125 to 68 computations (45.6% saved)

Profiling

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