Details

Time bar (total: 1.5s)

analyze94.0ms (6.1%)

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
25%74.9%0.1%4
25%74.9%0.1%5
43.7%50%6.3%6
43.7%43.7%12.6%7
59.3%26.5%14.1%8
59.3%22.6%18%9
67.1%13.7%19.2%10
67.1%11.5%21.4%11
71%6.9%22%12
71%5.8%23.2%13
73%3.5%23.5%14
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample24.0ms (1.6%)

Algorithm
intervals
Results
12.0ms256×body128valid
0.0msbody128nan
Compiler

Compiled 13 to 13 computations (0% saved)

simplify115.0ms (7.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
079
179

prune6.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
21.8b
Counts
2 → 1
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x x) y)
20.3b
(sqrt.f64 (+.f64 (*.f64 x x) y))

rewrite10.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_7960 add-sqr-sqrt_binary64_7943
sqrt-prod_binary64_7937 add-cube-cbrt_binary64_7956 pow1_binary64_7982 *-un-lft-identity_binary64_7921
sqrt-div_binary64_7938 add-cbrt-cube_binary64_7957 flip3-+_binary64_7924 add-exp-log_binary64_7959 flip-+_binary64_7895
+-commutative_binary64_7851 sqrt-pow1_binary64_7939 rem-sqrt-square_binary64_7934 pow1/2_binary64_8001 sum-log_binary64_8012
Counts
2 → 26
Calls

2 calls:

4.0ms
(sqrt.f64 (+.f64 (*.f64 x x) y))
4.0ms
(+.f64 (*.f64 x x) y)

series68.0ms (4.4%)

Counts
2 → 6
Calls

2 calls:

42.0ms
(sqrt.f64 (+.f64 (*.f64 x x) y))
26.0ms
(+.f64 (*.f64 x x) y)

simplify74.0ms (4.8%)

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
05058392

prune30.0ms (1.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New30232
Fresh000
Picked011
Done000
Total30333
Error
0b
Counts
33 → 3
Compiler

Compiled 361 to 120 computations (66.8% saved)

localize4.0ms (0.3%)

rewrite0.0ms (0%)

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms (0%)

Counts
0 → 0

simplify6.0ms (0.4%)

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune1.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done011
Total033
Error
0b
Counts
3 → 3
Compiler

Compiled 7 to 6 computations (14.3% saved)

localize8.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

rewrite10.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt_binary64_7943
13×associate-*r*_binary64_7861
10×times-frac_binary64_7927
add-cube-cbrt_binary64_7956 *-un-lft-identity_binary64_7921
add-cbrt-cube_binary64_7957 add-exp-log_binary64_7959
associate-*l*_binary64_7862 pow1_binary64_7982
unswap-sqr_binary64_7889 prod-exp_binary64_7970 cbrt-unprod_binary64_7954
add-log-exp_binary64_7960 associate-*r/_binary64_7863 div-exp_binary64_7972 *-commutative_binary64_7852 cbrt-undiv_binary64_7955 div-inv_binary64_7918 pow-prod-down_binary64_7992
Counts
1 → 32
Calls

1 calls:

7.0ms
(*.f64 y (/.f64 -1/2 x))

series20.0ms (1.3%)

Counts
1 → 3
Calls

1 calls:

20.0ms
(*.f64 y (/.f64 -1/2 x))

simplify142.0ms (9.3%)

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (127.0ms)

IterNodesCost
05059348

prune43.0ms (2.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New35035
Fresh000
Picked011
Done022
Total35338
Error
0b
Counts
38 → 3
Compiler

Compiled 411 to 257 computations (37.5% saved)

regimes104.0ms (6.8%)

Accuracy

Total 0.2b remaining (98.7%)

Threshold costs 0.2b (98.7%)

Compiler

Compiled 132 to 117 computations (11.4% saved)

bsearch46.0ms (3%)

Steps
ItersRangePoint
8
1.8151641278275088e+86
5.9293255676908e+89
1.0258909281126581e+88
10
-1.0545994167537657e+156
-7.817942817178844e+140
-1.326103030450532e+154
Compiler

Compiled 1 to 2 computations (-100% saved)

simplify5.0ms (0.3%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03541
13541

end0.0ms (0%)

sample716.0ms (46.8%)

Algorithm
intervals
Results
315.0ms8000×body128valid
6.0ms157×body128nan
Compiler

Compiled 84 to 63 computations (25% saved)

Profiling

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