Details

Time bar (total: 1.4s)

analyze16.0ms (1.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
50%50%0.1%3
74.9%25%0.1%4
74.9%25%0.1%5
87.4%12.5%0.1%6
87.4%12.5%0.1%7
93.7%6.2%0.1%8
93.7%6.2%0.1%9
96.8%3.1%0.1%10
96.8%3.1%0.1%11
98.3%1.6%0.1%12
98.3%1.6%0.1%13
99.1%0.8%0.1%14
Compiler

Compiled 6 to 6 computations (0% saved)

sample11.0ms (0.8%)

Algorithm
intervals
Results
5.0ms256×body128valid
Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify104.0ms (7.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
077
177

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)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(+.f64 x (/.f64 y 500))

rewrite7.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64_8944 add-log-exp_binary64_8983
flip3-+_binary64_8947 +-commutative_binary64_8874 add-cube-cbrt_binary64_8979 pow1_binary64_9005 add-cbrt-cube_binary64_8980 distribute-lft-out_binary64_8895 sum-log_binary64_9035 flip-+_binary64_8918 add-exp-log_binary64_8982 add-sqr-sqrt_binary64_8966
Counts
1 → 12
Calls

1 calls:

7.0ms
(+.f64 x (/.f64 y 500))

series18.0ms (1.3%)

Counts
1 → 3
Calls

1 calls:

18.0ms
(+.f64 x (/.f64 y 500))

simplify66.0ms (4.7%)

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
05533164

prune12.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New13215
Fresh000
Picked011
Done000
Total13316
Error
0b
Counts
16 → 3
Compiler

Compiled 169 to 119 computations (29.6% saved)

localize9.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 x (/.f64 y 500))
0.1b
(*.f64 y (/.f64 y 250000))
2.6b
(-.f64 (*.f64 x x) (*.f64 y (/.f64 y 250000)))
28.4b
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (/.f64 y 250000))) (-.f64 x (/.f64 y 500)))

rewrite48.0ms (3.4%)

Algorithm
rewrite-expression-head
Rules
60×add-sqr-sqrt_binary64_8966
42×times-frac_binary64_8950
40×*-un-lft-identity_binary64_8944
30×add-cube-cbrt_binary64_8979
14×cancel-sign-sub-inv_binary64_8910
13×associate-*r*_binary64_8884
11×add-cbrt-cube_binary64_8980 add-exp-log_binary64_8982
10×difference-of-squares_binary64_8913
add-log-exp_binary64_8983
pow1_binary64_9005 associate-/r*_binary64_8888
distribute-lft-out--_binary64_8896
flip3--_binary64_8948 flip--_binary64_8919
associate-*l*_binary64_8885 associate-/l*_binary64_8889 div-inv_binary64_8941
associate-/r/_binary64_8890 div-exp_binary64_8995 prod-exp_binary64_8993 associate-/l/_binary64_8891 diff-log_binary64_9036 sub-neg_binary64_8937 unswap-sqr_binary64_8912 cbrt-undiv_binary64_8978 cbrt-unprod_binary64_8977
associate-*r/_binary64_8886 div-sub_binary64_8949 clear-num_binary64_8943 frac-2neg_binary64_8955 *-commutative_binary64_8875 pow-prod-down_binary64_9015
Counts
4 → 115
Calls

4 calls:

13.0ms
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (/.f64 y 250000))) (-.f64 x (/.f64 y 500)))
8.0ms
(-.f64 x (/.f64 y 500))
8.0ms
(*.f64 y (/.f64 y 250000))
8.0ms
(-.f64 (*.f64 x x) (*.f64 y (/.f64 y 250000)))

series116.0ms (8.2%)

Counts
4 → 12
Calls

4 calls:

50.0ms
(/.f64 (-.f64 (*.f64 x x) (*.f64 y (/.f64 y 250000))) (-.f64 x (/.f64 y 500)))
28.0ms
(-.f64 (*.f64 x x) (*.f64 y (/.f64 y 250000)))
19.0ms
(-.f64 x (/.f64 y 500))
19.0ms
(*.f64 y (/.f64 y 250000))

simplify77.0ms (5.4%)

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049132497
149132497

prune125.0ms (8.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1270127
Fresh011
Picked011
Done011
Total1273130
Error
0b
Counts
130 → 3
Compiler

Compiled 2825 to 1640 computations (41.9% saved)

localize6.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 x (/.f64 y 500))
0.0b
(sqrt.f64 (+.f64 x (/.f64 y 500)))
0.0b
(sqrt.f64 (+.f64 x (/.f64 y 500)))
0.3b
(*.f64 (sqrt.f64 (+.f64 x (/.f64 y 500))) (sqrt.f64 (+.f64 x (/.f64 y 500))))

rewrite54.0ms (3.8%)

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity_binary64_8944 sqrt-prod_binary64_8960
30×add-sqr-sqrt_binary64_8966
21×pow1_binary64_9005
16×sqrt-div_binary64_8961
14×add-cube-cbrt_binary64_8979
11×swap-sqr_binary64_8911
10×pow1/2_binary64_9024 sqrt-pow1_binary64_8962
flip3-+_binary64_8947 distribute-lft-out_binary64_8895 flip-+_binary64_8918
associate-*l*_binary64_8885 associate-*r*_binary64_8884
add-cbrt-cube_binary64_8980 add-log-exp_binary64_8983 add-exp-log_binary64_8982
pow-prod-up_binary64_9014
frac-times_binary64_8954 rem-sqrt-square_binary64_8957 unswap-sqr_binary64_8912
pow-sqr_binary64_8917 pow-prod-down_binary64_9015
associate-*r/_binary64_8886 associate-*l/_binary64_8887
pow2_binary64_9025 +-commutative_binary64_8874 sqrt-unprod_binary64_8964 prod-exp_binary64_8993 *-commutative_binary64_8875 sum-log_binary64_9035 sqr-abs_binary64_8959 rem-square-sqrt_binary64_8956 pow-plus_binary64_9007 cbrt-unprod_binary64_8977
Counts
4 → 107
Calls

4 calls:

20.0ms
(*.f64 (sqrt.f64 (+.f64 x (/.f64 y 500))) (sqrt.f64 (+.f64 x (/.f64 y 500))))
7.0ms
(sqrt.f64 (+.f64 x (/.f64 y 500)))
7.0ms
(+.f64 x (/.f64 y 500))
7.0ms
(sqrt.f64 (+.f64 x (/.f64 y 500)))

series117.0ms (8.2%)

Counts
4 → 12
Calls

4 calls:

35.0ms
(sqrt.f64 (+.f64 x (/.f64 y 500)))
35.0ms
(sqrt.f64 (+.f64 x (/.f64 y 500)))
29.0ms
(*.f64 (sqrt.f64 (+.f64 x (/.f64 y 500))) (sqrt.f64 (+.f64 x (/.f64 y 500))))
18.0ms
(+.f64 x (/.f64 y 500))

simplify74.0ms (5.2%)

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049371681
149371681

prune107.0ms (7.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1190119
Fresh000
Picked011
Done022
Total1193122
Error
0b
Counts
122 → 3
Compiler

Compiled 1938 to 1355 computations (30.1% saved)

regimes51.0ms (3.6%)

Accuracy

Total 0.0b remaining (56.4%)

Threshold costs 0.0b (56.4%)

Compiler

Compiled 204 to 186 computations (8.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
177

end0.0ms (0%)

sample391.0ms (27.6%)

Algorithm
intervals
Results
165.0ms8000×body128valid
Compiler

Compiled 57 to 53 computations (7% saved)

Profiling

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