Details

Time bar (total: 1.4s)

analyze73.0ms (5.1%)

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)

sample14.0ms (1%)

Algorithm
intervals
Results
7.0ms256×body128valid
0.0msbody128nan
Compiler

Compiled 13 to 13 computations (0% saved)

simplify157.0ms (11%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
079
179

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 22.3b

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)
20.8b
(sqrt.f64 (+.f64 (*.f64 x x) y))

rewrite15.0ms (1%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_14549 add-log-exp_binary64_14566
sqrt-prod_binary64_14543 pow1_binary64_14588 *-un-lft-identity_binary64_14527 add-cube-cbrt_binary64_14562
flip-+_binary64_14501 sqrt-div_binary64_14544 flip3-+_binary64_14530 add-exp-log_binary64_14565 add-cbrt-cube_binary64_14563
sqrt-pow1_binary64_14545 +-commutative_binary64_14457 pow1/2_binary64_14607 sum-log_binary64_14618 rem-sqrt-square_binary64_14540
Counts
2 → 26
Calls

2 calls:

9.0ms
(sqrt.f64 (+.f64 (*.f64 x x) y))
5.0ms
(+.f64 (*.f64 x x) y)

series83.0ms (5.8%)

Counts
2 → 6
Calls

2 calls:

54.0ms
(sqrt.f64 (+.f64 (*.f64 x x) y))
29.0ms
(+.f64 (*.f64 x x) y)

simplify76.0ms (5.3%)

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
05544392

prune27.0ms (1.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New30232
Fresh000
Picked011
Done000
Total30333

Merged error: 0b

Counts
33 → 3
Compiler

Compiled 430 to 169 computations (60.7% saved)

localize8.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

rewrite16.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt_binary64_14549
13×associate-*r*_binary64_14467
10×*-un-lft-identity_binary64_14527 add-cube-cbrt_binary64_14562 times-frac_binary64_14533
add-exp-log_binary64_14565 add-cbrt-cube_binary64_14563
pow1_binary64_14588 add-log-exp_binary64_14566
associate-*l*_binary64_14468
prod-exp_binary64_14576 cbrt-unprod_binary64_14560 unswap-sqr_binary64_14495
flip-+_binary64_14501 div-inv_binary64_14524 +-commutative_binary64_14457 cbrt-undiv_binary64_14561 flip3-+_binary64_14530 sum-log_binary64_14618 div-exp_binary64_14578 *-commutative_binary64_14458 associate-*r/_binary64_14469 pow-prod-down_binary64_14598
Counts
2 → 43
Calls

2 calls:

9.0ms
(*.f64 1/2 (/.f64 y x))
4.0ms
(+.f64 x (*.f64 1/2 (/.f64 y x)))

series60.0ms (4.2%)

Counts
2 → 6
Calls

2 calls:

35.0ms
(+.f64 x (*.f64 1/2 (/.f64 y x)))
25.0ms
(*.f64 1/2 (/.f64 y x))

simplify86.0ms (6%)

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
04916558
14916558

prune35.0ms (2.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New49049
Fresh011
Picked011
Done011
Total49352

Merged error: 0b

Counts
52 → 3
Compiler

Compiled 593 to 298 computations (49.7% saved)

localize5.0ms (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))

rewrite18.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64_14549
13×associate-*r*_binary64_14467
11×*-un-lft-identity_binary64_14527 add-cube-cbrt_binary64_14562
10×times-frac_binary64_14533
add-exp-log_binary64_14565 add-cbrt-cube_binary64_14563
pow1_binary64_14588 add-log-exp_binary64_14566
cancel-sign-sub-inv_binary64_14493 associate-*l*_binary64_14468
prod-exp_binary64_14576 cbrt-unprod_binary64_14560 unswap-sqr_binary64_14495
div-inv_binary64_14524 flip3--_binary64_14531 flip--_binary64_14502 cbrt-undiv_binary64_14561 sub-neg_binary64_14520 div-exp_binary64_14578 diff-log_binary64_14619 *-commutative_binary64_14458 associate-*r/_binary64_14469 pow-prod-down_binary64_14598
Counts
2 → 46
Calls

2 calls:

8.0ms
(*.f64 y (/.f64 -1/2 x))
6.0ms
(-.f64 (*.f64 y (/.f64 -1/2 x)) x)

series75.0ms (5.2%)

Counts
2 → 6
Calls

2 calls:

50.0ms
(-.f64 (*.f64 y (/.f64 -1/2 x)) x)
25.0ms
(*.f64 y (/.f64 -1/2 x))

simplify57.0ms (4%)

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05407568

prune38.0ms (2.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New52052
Fresh000
Picked011
Done022
Total52355

Merged error: 0b

Counts
55 → 3
Compiler

Compiled 610 to 377 computations (38.2% saved)

regimes84.0ms (5.9%)

Compiler

Compiled 132 to 117 computations (11.4% saved)

bsearch26.0ms (1.8%)

Steps
ItersRangePoint
8
5.213433331597919e+153
1.5730399693481814e+156
5.2676264368880625e+153
9
-1.7105178886074092e+159
-1.7821063092144407e+152
-1.3336513502588976e+154
Compiler

Compiled 1 to 2 computations (-100% saved)

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03541
13541

end0.0ms (0%)

sample470.0ms (32.8%)

Algorithm
intervals
Results
213.0ms8000×body128valid
4.0ms151×body128nan
Compiler

Compiled 84 to 63 computations (25% saved)

Profiling

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