Details

Time bar (total: 1.2s)

analyze75.0ms (6.4%)

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)

sample14.0ms (1.2%)

Algorithm
intervals
Results
7.0ms256×body128valid
0.0msbody128nan
Compiler

Compiled 13 to 13 computations (0% saved)

simplify9.0ms (0.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
079
179

prune2.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 22.6b

Counts
2 → 1
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize8.0ms (0.7%)

Local error

Found 1 expressions with local error:

21.0b
(sqrt.f64 (+.f64 (*.f64 x x) y))

rewrite6.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64 sqrt-prod_binary64
*-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64 sqrt-div_binary64
flip3-+_binary64 add-log-exp_binary64 pow1/2_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 flip-+_binary64
Counts
1 → 15
Calls

1 calls:

5.0ms
(sqrt.f64 (+.f64 (*.f64 x x) y))

series54.0ms (4.6%)

Counts
1 → 3
Calls

1 calls:

54.0ms
(sqrt.f64 (+.f64 (*.f64 x x) y))

simplify93.0ms (7.9%)

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 0 (86.0ms)

IterNodesCost
04783244
14783244

prune20.0ms (1.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New16218
Fresh000
Picked011
Done000
Total16319

Merged error: 0b

Counts
19 → 3
Compiler

Compiled 285 to 139 computations (51.2% saved)

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite10.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt_binary64
13×associate-*r*_binary64
10×times-frac_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64 associate-*l*_binary64
cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64
pow-prod-down_binary64 add-log-exp_binary64 cbrt-undiv_binary64 associate-*r/_binary64 div-inv_binary64 div-exp_binary64 *-commutative_binary64
Counts
1 → 32
Calls

1 calls:

8.0ms
(*.f64 y (/.f64 -1/2 x))

series29.0ms (2.5%)

Counts
1 → 3
Calls

1 calls:

29.0ms
(*.f64 y (/.f64 -1/2 x))

simplify77.0ms (6.5%)

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
05184348

prune24.0ms (2.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New35035
Fresh011
Picked011
Done011
Total35338

Merged error: 0b

Counts
38 → 3
Compiler

Compiled 418 to 263 computations (37.1% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b
(*.f64 1/2 (/.f64 y x))

rewrite11.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt_binary64
13×associate-*r*_binary64
10×times-frac_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64 associate-*l*_binary64
cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64
pow-prod-down_binary64 add-log-exp_binary64 cbrt-undiv_binary64 associate-*r/_binary64 div-inv_binary64 div-exp_binary64 *-commutative_binary64
Counts
1 → 32
Calls

1 calls:

8.0ms
(*.f64 1/2 (/.f64 y x))

series27.0ms (2.2%)

Counts
1 → 3
Calls

1 calls:

26.0ms
(*.f64 1/2 (/.f64 y x))

simplify101.0ms (8.6%)

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (91.0ms)

IterNodesCost
05010347

prune22.0ms (1.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New35035
Fresh000
Picked011
Done022
Total35338

Merged error: 0b

Counts
38 → 3
Compiler

Compiled 410 to 202 computations (50.7% saved)

regimes88.0ms (7.5%)

Compiler

Compiled 132 to 117 computations (11.4% saved)

bsearch28.0ms (2.3%)

Steps
ItersRangePoint
10
2.36317951243422e+144
7.503770729723364e+154
3.298871722630235e+146
8
-1.5960606201102464e+155
-4.5115449137748725e+152
-1.333264795780396e+154
Compiler

Compiled 1 to 2 computations (-100% saved)

simplify2.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03541
13541

end0.0ms (0%)

sample470.0ms (39.8%)

Algorithm
intervals
Results
214.0ms8000×body128valid
4.0ms161×body128nan
Compiler

Compiled 84 to 63 computations (25% saved)

Profiling

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