Details

Time bar (total: 1.5s)

analyze248.0ms (16.7%)

Algorithm
1×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
37.5%62.4%0.1%6
56.2%43.7%0.1%7
65.6%34.3%0.1%8
76.5%23.4%0.1%9
82%18%0.1%10
87.8%12.1%0.1%11
90.7%9.2%0.1%12
93.8%6.1%0.1%13
95.3%4.6%0.1%14
Compiler

Compiled 6 to 6 computations (0% saved)

sample11.0ms (0.7%)

Algorithm
1×intervals
Results
5.0ms255×body128valid
0.0ms1×body2048valid
0.0ms1×body128invalid
Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify104.0ms (7%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (8.0ms)

IterNodesCost
01567
11567

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Compiler

Compiled 10 to 10 computations (0% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(*.f64 500 (-.f64 x y))

rewrite8.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
9×add-sqr-sqrt_binary64_7943
7×*-un-lft-identity_binary64_7921
6×cancel-sign-sub-inv_binary64_7887
5×associate-*r*_binary64_7861 add-cube-cbrt_binary64_7956
4×distribute-lft-in_binary64_7870 distribute-rgt-in_binary64_7871
3×add-cbrt-cube_binary64_7957 associate-*l*_binary64_7862 pow1_binary64_7982 add-exp-log_binary64_7959
2×sub-neg_binary64_7914 associate-*r/_binary64_7863
1×distribute-lft-out--_binary64_7873 flip3--_binary64_7925 add-log-exp_binary64_7960 unswap-sqr_binary64_7889 prod-exp_binary64_7970 cbrt-unprod_binary64_7954 difference-of-squares_binary64_7890 *-commutative_binary64_7852 flip--_binary64_7896 pow-prod-down_binary64_7992
Counts
1 → 30
Calls

1 calls:

7.0ms
(*.f64 500 (-.f64 x y))

series20.0ms (1.3%)

Counts
1 → 3
Calls

1 calls:

19.0ms
(*.f64 500 (-.f64 x y))

simplify40.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
04959298
14959298

prune25.0ms (1.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New31233
Fresh000
Picked011
Done000
Total31334
Error
0b
Counts
34 → 3
Compiler

Compiled 323 to 190 computations (41.2% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.3b
(*.f64 (-.f64 x y) (sqrt.f64 500))
0.4b
(*.f64 (sqrt.f64 500) (*.f64 (-.f64 x y) (sqrt.f64 500)))

rewrite21.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Rules
13×add-sqr-sqrt_binary64_7943
11×associate-*l*_binary64_7862
9×add-cbrt-cube_binary64_7957 pow1_binary64_7982 add-exp-log_binary64_7959 *-un-lft-identity_binary64_7921
7×associate-*r*_binary64_7861 sqrt-prod_binary64_7937 add-cube-cbrt_binary64_7956
4×prod-exp_binary64_7970 associate-*l/_binary64_7864 cbrt-unprod_binary64_7954 pow-prod-down_binary64_7992
2×flip3--_binary64_7925 add-log-exp_binary64_7960 unswap-sqr_binary64_7889 associate-*r/_binary64_7863 *-commutative_binary64_7852 flip--_binary64_7896
1×distribute-lft-out--_binary64_7873 difference-of-squares_binary64_7890
Counts
2 → 49
Calls

2 calls:

10.0ms
(*.f64 (sqrt.f64 500) (*.f64 (-.f64 x y) (sqrt.f64 500)))
7.0ms
(*.f64 (-.f64 x y) (sqrt.f64 500))

series82.0ms (5.5%)

Counts
2 → 6
Calls

2 calls:

51.0ms
(*.f64 (sqrt.f64 500) (*.f64 (-.f64 x y) (sqrt.f64 500)))
31.0ms
(*.f64 (-.f64 x y) (sqrt.f64 500))

simplify54.0ms (3.7%)

Algorithm
1×egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05390597

prune42.0ms (2.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New54155
Fresh101
Picked101
Done011
Total56258
Error
0b
Counts
58 → 2
Compiler

Compiled 680 to 448 computations (34.1% saved)

localize8.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.1b
(*.f64 (-.f64 x y) (sqrt.f64 (sqrt.f64 500)))
0.3b
(*.f64 (*.f64 (-.f64 x y) (sqrt.f64 (sqrt.f64 500))) (sqrt.f64 (sqrt.f64 500)))
0.4b
(*.f64 (sqrt.f64 500) (*.f64 (*.f64 (-.f64 x y) (sqrt.f64 (sqrt.f64 500))) (sqrt.f64 (sqrt.f64 500))))

rewrite47.0ms (3.2%)

Algorithm
1×rewrite-expression-head
Rules
24×sqrt-prod_binary64_7937
20×add-sqr-sqrt_binary64_7943
19×associate-*r*_binary64_7861 add-cbrt-cube_binary64_7957 pow1_binary64_7982 add-exp-log_binary64_7959
14×*-un-lft-identity_binary64_7921
12×add-cube-cbrt_binary64_7956 associate-*l*_binary64_7862
10×prod-exp_binary64_7970 associate-*l/_binary64_7864 cbrt-unprod_binary64_7954 pow-prod-down_binary64_7992
3×flip3--_binary64_7925 add-log-exp_binary64_7960 unswap-sqr_binary64_7889 *-commutative_binary64_7852 flip--_binary64_7896
2×associate-*r/_binary64_7863
1×distribute-lft-out--_binary64_7873 difference-of-squares_binary64_7890
Counts
3 → 82
Calls

3 calls:

16.0ms
(*.f64 (*.f64 (-.f64 x y) (sqrt.f64 (sqrt.f64 500))) (sqrt.f64 (sqrt.f64 500)))
16.0ms
(*.f64 (sqrt.f64 500) (*.f64 (*.f64 (-.f64 x y) (sqrt.f64 (sqrt.f64 500))) (sqrt.f64 (sqrt.f64 500))))
9.0ms
(*.f64 (-.f64 x y) (sqrt.f64 (sqrt.f64 500)))

series127.0ms (8.6%)

Counts
3 → 9
Calls

3 calls:

48.0ms
(*.f64 (sqrt.f64 500) (*.f64 (*.f64 (-.f64 x y) (sqrt.f64 (sqrt.f64 500))) (sqrt.f64 (sqrt.f64 500))))
43.0ms
(*.f64 (-.f64 x y) (sqrt.f64 (sqrt.f64 500)))
35.0ms
(*.f64 (*.f64 (-.f64 x y) (sqrt.f64 (sqrt.f64 500))) (sqrt.f64 (sqrt.f64 500)))

simplify76.0ms (5.1%)

Algorithm
1×egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049631123
149631123

prune84.0ms (5.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New91091
Fresh000
Picked011
Done011
Total91293
Error
0b
Counts
93 → 2
Compiler

Compiled 1378 to 1007 computations (26.9% saved)

regimes55.0ms (3.7%)

Accuracy

Total 0.0b remaining (58.7%)

Threshold costs 0.0b (58.7%)

Compiler

Compiled 320 to 284 computations (11.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0177
1177

end0.0ms (0%)

sample420.0ms (28.2%)

Algorithm
1×intervals
Results
158.0ms7978×body128valid
1.0ms64×body128invalid
1.0ms8×body2048valid
1.0ms8×body1024valid
0.0ms5×body512valid
0.0ms1×body256valid
Compiler

Compiled 86 to 78 computations (9.3% saved)

Profiling

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