Details

Time bar (total: 2.1s)

analyze131.0ms (6.2%)

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
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)

sample22.0ms (1.1%)

Algorithm
intervals
Results
12.0ms256×body128valid
0.0msbody128nan
Compiler

Compiled 13 to 13 computations (0% saved)

simplify167.0ms (7.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
079
179

prune3.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 21.3b

Counts
2 → 1
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x x) y)
19.9b
(sqrt.f64 (+.f64 (*.f64 x x) y))

rewrite19.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_15803 add-sqr-sqrt_binary64_15786
sqrt-prod_binary64_15780 add-cube-cbrt_binary64_15799 *-un-lft-identity_binary64_15764 pow1_binary64_15825
add-cbrt-cube_binary64_15800 flip3-+_binary64_15767 add-exp-log_binary64_15802 flip-+_binary64_15738 sqrt-div_binary64_15781
rem-sqrt-square_binary64_15777 sum-log_binary64_15855 sqrt-pow1_binary64_15782 pow1/2_binary64_15844 +-commutative_binary64_15694
Counts
2 → 26
Calls

2 calls:

8.0ms
(sqrt.f64 (+.f64 (*.f64 x x) y))
8.0ms
(+.f64 (*.f64 x x) y)

series79.0ms (3.8%)

Counts
2 → 6
Calls

2 calls:

53.0ms
(sqrt.f64 (+.f64 (*.f64 x x) y))
26.0ms
(+.f64 (*.f64 x x) y)

simplify69.0ms (3.3%)

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
05058392

prune38.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New30232
Fresh000
Picked011
Done000
Total30333

Merged error: 0b

Counts
33 → 3
Compiler

Compiled 361 to 120 computations (66.8% saved)

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (*.f64 y (/.f64 -1/2 x)) x)
0.2b
(*.f64 y (/.f64 -1/2 x))

rewrite30.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64_15786
13×associate-*r*_binary64_15704
11×add-cube-cbrt_binary64_15799 *-un-lft-identity_binary64_15764
10×times-frac_binary64_15770
add-cbrt-cube_binary64_15800 add-exp-log_binary64_15802
add-log-exp_binary64_15803 pow1_binary64_15825
associate-*l*_binary64_15705 cancel-sign-sub-inv_binary64_15730
cbrt-unprod_binary64_15797 prod-exp_binary64_15813 unswap-sqr_binary64_15732
cbrt-undiv_binary64_15798 sub-neg_binary64_15757 associate-*r/_binary64_15706 div-inv_binary64_15761 flip--_binary64_15739 *-commutative_binary64_15695 flip3--_binary64_15768 pow-prod-down_binary64_15835 div-exp_binary64_15815 diff-log_binary64_15856
Counts
2 → 46
Calls

2 calls:

14.0ms
(*.f64 y (/.f64 -1/2 x))
10.0ms
(-.f64 (*.f64 y (/.f64 -1/2 x)) x)

series72.0ms (3.4%)

Counts
2 → 6
Calls

2 calls:

48.0ms
(-.f64 (*.f64 y (/.f64 -1/2 x)) x)
23.0ms
(*.f64 y (/.f64 -1/2 x))

simplify108.0ms (5.2%)

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (89.0ms)

IterNodesCost
04911568
14911568

prune65.0ms (3.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New52052
Fresh011
Picked011
Done011
Total52355

Merged error: 0b

Counts
55 → 3
Compiler

Compiled 617 to 383 computations (37.9% saved)

localize9.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite7.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_15803
add-cbrt-cube_binary64_15800 flip3-+_binary64_15767 sum-log_binary64_15855 add-exp-log_binary64_15802 add-sqr-sqrt_binary64_15786 add-cube-cbrt_binary64_15799 *-un-lft-identity_binary64_15764 +-commutative_binary64_15694 flip-+_binary64_15738 pow1_binary64_15825
Counts
1 → 11
Calls

1 calls:

6.0ms
(+.f64 x (*.f64 1/2 (/.f64 y x)))

series38.0ms (1.8%)

Counts
1 → 3
Calls

1 calls:

38.0ms
(+.f64 x (*.f64 1/2 (/.f64 y x)))

simplify140.0ms (6.6%)

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 0 (127.0ms)

IterNodesCost
05110211

prune18.0ms (0.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New14014
Fresh000
Picked011
Done022
Total14317

Merged error: 0b

Counts
17 → 3
Compiler

Compiled 176 to 93 computations (47.2% saved)

regimes166.0ms (7.9%)

Compiler

Compiled 132 to 117 computations (11.4% saved)

bsearch41.0ms (2%)

Steps
ItersRangePoint
5
3.857138556875352e+82
8.184736262379433e+82
8.082528458678899e+82
9
-5.349599161394743e+155
-5.7564834306447114e+150
-1.6647525257476291e+153
Compiler

Compiled 1 to 2 computations (-100% saved)

simplify5.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03541
13541

end0.0ms (0%)

sample860.0ms (40.8%)

Algorithm
intervals
Results
382.0ms8000×body128valid
7.0ms154×body128nan
Compiler

Compiled 84 to 63 computations (25% saved)

Profiling

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