Details

Time bar (total: 2.0s)

analyze35.0ms (1.8%)

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
0%99.9%0.1%5
50%50%0.1%6
68.7%31.2%0.1%7
81.2%18.7%0.1%8
89%10.9%0.1%9
92.1%7.8%0.1%10
95.6%4.3%0.1%11
96.4%3.5%0.1%12
98%1.9%0.1%13
98.2%1.7%0.1%14
Compiler

Compiled 10 to 8 computations (20% saved)

sample13.0ms (0.7%)

Algorithm
intervals
Results
7.0ms256×body128valid
Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify286.0ms (14.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (121.0ms)

IterNodesCost
0532913

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 14.5b

Counts
2 → 1
Compiler

Compiled 18 to 14 computations (22.2% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

14.1b
(/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y))

rewrite12.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
10×add-exp-log_binary64_14909 add-cbrt-cube_binary64_14907
*-un-lft-identity_binary64_14871 add-sqr-sqrt_binary64_14893
associate-/r*_binary64_14815 times-frac_binary64_14877
cbrt-undiv_binary64_14905 prod-exp_binary64_14920 cbrt-unprod_binary64_14904 add-cube-cbrt_binary64_14906 div-exp_binary64_14922
distribute-lft-out--_binary64_14823 associate-/r/_binary64_14817 difference-of-squares_binary64_14840
add-log-exp_binary64_14910 flip3--_binary64_14875 frac-2neg_binary64_14882 div-inv_binary64_14868 clear-num_binary64_14870 associate-/l*_binary64_14816 flip--_binary64_14846 pow1_binary64_14932
Counts
1 → 29
Calls

1 calls:

10.0ms
(/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y))

series94.0ms (4.8%)

Counts
1 → 3
Calls

1 calls:

94.0ms
(/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y))

simplify60.0ms (3.1%)

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05828458

prune73.0ms (3.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New28432
Fresh000
Picked011
Done000
Total28533

Merged error: 0b

Counts
33 → 5
Compiler

Compiled 1107 to 685 computations (38.1% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
0.2b
(/.f64 1 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))

rewrite37.0ms (1.9%)

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity_binary64_14871
25×times-frac_binary64_14877
12×add-sqr-sqrt_binary64_14893 add-cube-cbrt_binary64_14906
10×distribute-lft-out_binary64_14822
add-exp-log_binary64_14909
associate-/r*_binary64_14815
add-log-exp_binary64_14910 add-cbrt-cube_binary64_14907
associate-/r/_binary64_14817 associate-/l*_binary64_14816 pow1_binary64_14932
flip-+_binary64_14845 frac-add_binary64_14879 flip3-+_binary64_14874 div-exp_binary64_14922
sum-log_binary64_14962 frac-2neg_binary64_14882 inv-pow_binary64_14956 div-inv_binary64_14868 cbrt-undiv_binary64_14905 clear-num_binary64_14870 pow-flip_binary64_14945 +-commutative_binary64_14801 1-exp_binary64_14915 rec-exp_binary64_14921
Counts
2 → 56
Calls

2 calls:

16.0ms
(/.f64 1 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
14.0ms
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

series104.0ms (5.3%)

Counts
2 → 6
Calls

2 calls:

70.0ms
(/.f64 1 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
34.0ms
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

simplify66.0ms (3.4%)

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
06256983

prune58.0ms (3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New62062
Fresh033
Picked011
Done011
Total62567

Merged error: 0b

Counts
67 → 5
Compiler

Compiled 933 to 743 computations (20.4% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 y (-.f64 x y))
7.0b
(*.f64 (*.f64 x 2) (/.f64 y (-.f64 x y)))

rewrite25.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity_binary64_14871 add-sqr-sqrt_binary64_14893
30×times-frac_binary64_14877
21×associate-*r*_binary64_14811 add-cube-cbrt_binary64_14906
16×add-exp-log_binary64_14909 add-cbrt-cube_binary64_14907
distribute-lft-out--_binary64_14823 difference-of-squares_binary64_14840 pow1_binary64_14932
prod-exp_binary64_14920 cbrt-unprod_binary64_14904
associate-/r*_binary64_14815
associate-/r/_binary64_14817
pow-prod-down_binary64_14942 cbrt-undiv_binary64_14905 associate-/l*_binary64_14816 div-exp_binary64_14922
add-log-exp_binary64_14910 flip3--_binary64_14875 div-inv_binary64_14868 flip--_binary64_14846
frac-2neg_binary64_14882 associate-*r/_binary64_14813 clear-num_binary64_14870 associate-*l*_binary64_14812 *-commutative_binary64_14802
Counts
2 → 78
Calls

2 calls:

12.0ms
(*.f64 (*.f64 x 2) (/.f64 y (-.f64 x y)))
6.0ms
(/.f64 y (-.f64 x y))

series151.0ms (7.7%)

Counts
2 → 6
Calls

2 calls:

96.0ms
(*.f64 (*.f64 x 2) (/.f64 y (-.f64 x y)))
55.0ms
(/.f64 y (-.f64 x y))

simplify61.0ms (3.1%)

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049441139
149441139

prune51.0ms (2.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh022
Picked011
Done022
Total84589

Merged error: 0b

Counts
89 → 5
Compiler

Compiled 1245 to 350 computations (71.9% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 x y) y)
7.5b
(/.f64 (*.f64 x 2) (/.f64 (-.f64 x y) y))

rewrite26.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
64×times-frac_binary64_14877
50×*-un-lft-identity_binary64_14871 add-sqr-sqrt_binary64_14893
30×add-cube-cbrt_binary64_14906
22×associate-/r*_binary64_14815
16×add-exp-log_binary64_14909 add-cbrt-cube_binary64_14907
10×distribute-lft-out--_binary64_14823 difference-of-squares_binary64_14840
cbrt-undiv_binary64_14905 div-exp_binary64_14922
associate-/l*_binary64_14816
div-inv_binary64_14868
add-log-exp_binary64_14910 frac-2neg_binary64_14882 clear-num_binary64_14870 associate-/l/_binary64_14818 prod-exp_binary64_14920 cbrt-unprod_binary64_14904 pow1_binary64_14932
flip3--_binary64_14875 associate-/r/_binary64_14817 div-sub_binary64_14876 flip--_binary64_14846
Counts
2 → 96
Calls

2 calls:

10.0ms
(/.f64 (*.f64 x 2) (/.f64 (-.f64 x y) y))
7.0ms
(/.f64 (-.f64 x y) y)

series138.0ms (7.1%)

Counts
2 → 6
Calls

2 calls:

95.0ms
(/.f64 (*.f64 x 2) (/.f64 (-.f64 x y) y))
42.0ms
(/.f64 (-.f64 x y) y)

simplify59.0ms (3%)

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
062081605

prune77.0ms (4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1011102
Fresh101
Picked011
Done213
Total1043107

Merged error: 0b

Counts
107 → 3
Compiler

Compiled 1654 to 589 computations (64.4% saved)

regimes20.0ms (1%)

Compiler

Compiled 58 to 54 computations (6.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01213
11213

end0.0ms (0%)

sample480.0ms (24.6%)

Algorithm
intervals
Results
232.0ms8000×body128valid
Compiler

Compiled 81 to 63 computations (22.2% saved)

Profiling

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