Details

Time bar (total: 2.0s)

analyze43.0ms (2.2%)

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)

sample14.0ms (0.7%)

Algorithm
intervals
Results
7.0ms256×body128valid
Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify283.0ms (14.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (120.0ms)

IterNodesCost
0532913

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 15.6b

Counts
2 → 1
Compiler

Compiled 18 to 14 computations (22.2% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

15.1b
(/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y))

rewrite12.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
10×add-cbrt-cube_binary64_16971 add-exp-log_binary64_16973
add-sqr-sqrt_binary64_16957 *-un-lft-identity_binary64_16935
times-frac_binary64_16941 associate-/r*_binary64_16879
cbrt-unprod_binary64_16968 add-cube-cbrt_binary64_16970 div-exp_binary64_16986 prod-exp_binary64_16984 cbrt-undiv_binary64_16969
difference-of-squares_binary64_16904 associate-/r/_binary64_16881 distribute-lft-out--_binary64_16887
pow1_binary64_16996 div-inv_binary64_16932 flip--_binary64_16910 frac-2neg_binary64_16946 clear-num_binary64_16934 flip3--_binary64_16939 add-log-exp_binary64_16974 associate-/l*_binary64_16880
Counts
1 → 29
Calls

1 calls:

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

series93.0ms (4.7%)

Counts
1 → 3
Calls

1 calls:

93.0ms
(/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y))

simplify59.0ms (3%)

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05828458

prune84.0ms (4.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New28432
Fresh000
Picked011
Done000
Total28533

Merged error: 0.0b

Counts
33 → 5
Compiler

Compiled 1307 to 832 computations (36.3% 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)))

rewrite38.0ms (2%)

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity_binary64_16935
25×times-frac_binary64_16941
12×add-cube-cbrt_binary64_16970 add-sqr-sqrt_binary64_16957
10×distribute-lft-out_binary64_16886
add-exp-log_binary64_16973
associate-/r*_binary64_16879
add-cbrt-cube_binary64_16971 add-log-exp_binary64_16974
pow1_binary64_16996 associate-/r/_binary64_16881 associate-/l*_binary64_16880
flip3-+_binary64_16938 frac-add_binary64_16943 div-exp_binary64_16986 flip-+_binary64_16909
1-exp_binary64_16979 inv-pow_binary64_17020 pow-flip_binary64_17009 div-inv_binary64_16932 frac-2neg_binary64_16946 clear-num_binary64_16934 +-commutative_binary64_16865 sum-log_binary64_17026 rec-exp_binary64_16985 cbrt-undiv_binary64_16969
Counts
2 → 56
Calls

2 calls:

17.0ms
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
16.0ms
(/.f64 1 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))

series106.0ms (5.4%)

Counts
2 → 6
Calls

2 calls:

71.0ms
(/.f64 1 (+.f64 (/.f64 1/2 y) (/.f64 -1/2 x)))
35.0ms
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

simplify65.0ms (3.3%)

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
06256983

prune61.0ms (3.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New62062
Fresh033
Picked011
Done011
Total62567

Merged error: 0.0b

Counts
67 → 5
Compiler

Compiled 994 to 793 computations (20.2% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 y (-.f64 x y))
4.8b
(*.f64 (*.f64 x 2) (/.f64 y (-.f64 x y)))

rewrite27.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt_binary64_16957 *-un-lft-identity_binary64_16935
30×times-frac_binary64_16941
21×add-cube-cbrt_binary64_16970 associate-*r*_binary64_16875
16×add-cbrt-cube_binary64_16971 add-exp-log_binary64_16973
pow1_binary64_16996 difference-of-squares_binary64_16904 distribute-lft-out--_binary64_16887
cbrt-unprod_binary64_16968 prod-exp_binary64_16984
associate-/r*_binary64_16879
associate-/r/_binary64_16881
pow-prod-down_binary64_17006 div-exp_binary64_16986 associate-/l*_binary64_16880 cbrt-undiv_binary64_16969
div-inv_binary64_16932 flip--_binary64_16910 flip3--_binary64_16939 add-log-exp_binary64_16974
associate-*r/_binary64_16877 associate-*l*_binary64_16876 frac-2neg_binary64_16946 clear-num_binary64_16934 *-commutative_binary64_16866
Counts
2 → 78
Calls

2 calls:

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

series145.0ms (7.4%)

Counts
2 → 6
Calls

2 calls:

89.0ms
(*.f64 (*.f64 x 2) (/.f64 y (-.f64 x y)))
56.0ms
(/.f64 y (-.f64 x y))

simplify60.0ms (3%)

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049441139
149441139

prune52.0ms (2.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh022
Picked011
Done022
Total84589

Merged error: 0.0b

Counts
89 → 5
Compiler

Compiled 1241 to 347 computations (72% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 x y) y)
5.7b
(/.f64 (*.f64 x 2) (/.f64 (-.f64 x y) y))

rewrite28.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
64×times-frac_binary64_16941
50×add-sqr-sqrt_binary64_16957 *-un-lft-identity_binary64_16935
30×add-cube-cbrt_binary64_16970
22×associate-/r*_binary64_16879
16×add-cbrt-cube_binary64_16971 add-exp-log_binary64_16973
10×difference-of-squares_binary64_16904 distribute-lft-out--_binary64_16887
div-exp_binary64_16986 cbrt-undiv_binary64_16969
associate-/l*_binary64_16880
div-inv_binary64_16932
cbrt-unprod_binary64_16968 pow1_binary64_16996 associate-/l/_binary64_16882 frac-2neg_binary64_16946 clear-num_binary64_16934 add-log-exp_binary64_16974 prod-exp_binary64_16984
div-sub_binary64_16940 associate-/r/_binary64_16881 flip--_binary64_16910 flip3--_binary64_16939
Counts
2 → 96
Calls

2 calls:

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

series130.0ms (6.6%)

Counts
2 → 6
Calls

2 calls:

90.0ms
(/.f64 (*.f64 x 2) (/.f64 (-.f64 x y) y))
40.0ms
(/.f64 (-.f64 x y) y)

simplify60.0ms (3%)

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
062081605

prune82.0ms (4.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1002102
Fresh101
Picked101
Done213
Total1043107

Merged error: 0b

Counts
107 → 3
Compiler

Compiled 1740 to 642 computations (63.1% saved)

regimes17.0ms (0.9%)

Compiler

Compiled 58 to 56 computations (3.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01213
11213

end0.0ms (0%)

sample481.0ms (24.4%)

Algorithm
intervals
Results
237.0ms8000×body128valid
Compiler

Compiled 81 to 64 computations (21% saved)

Profiling

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