Details

Time bar (total: 1.2s)

analyze67.0ms (5.8%)

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)

sample12.0ms (1.1%)

Algorithm
intervals
Results
6.0ms256×body128valid
0.0msbody128nan
Compiler

Compiled 13 to 13 computations (0% saved)

simplify97.0ms (8.3%)

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
Error
20.1b
Counts
2 → 1
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

18.7b
(sqrt.f64 (+.f64 (*.f64 x x) y))

rewrite5.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_13399 sqrt-prod_binary64_13393
sqrt-div_binary64_13394 add-cube-cbrt_binary64_13412 *-un-lft-identity_binary64_13377 pow1_binary64_13438
pow1/2_binary64_13457 rem-sqrt-square_binary64_13390 add-log-exp_binary64_13416 add-exp-log_binary64_13415 sqrt-pow1_binary64_13395 add-cbrt-cube_binary64_13413 flip-+_binary64_13351 flip3-+_binary64_13380
Counts
1 → 15
Calls

1 calls:

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

series26.0ms (2.2%)

Counts
1 → 3
Calls

1 calls:

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

simplify79.0ms (6.8%)

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
04921244
14921244

prune13.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New16218
Fresh000
Picked011
Done000
Total16319
Error
0.0b
Counts
19 → 3
Compiler

Compiled 219 to 82 computations (62.6% saved)

localize7.0ms (0.6%)

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))

rewrite16.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64_13399
13×associate-*r*_binary64_13317
11×add-cube-cbrt_binary64_13412 *-un-lft-identity_binary64_13377
10×times-frac_binary64_13383
add-exp-log_binary64_13415 add-cbrt-cube_binary64_13413
pow1_binary64_13438 add-log-exp_binary64_13416
associate-*l*_binary64_13318 cancel-sign-sub-inv_binary64_13343
prod-exp_binary64_13426 cbrt-unprod_binary64_13410 unswap-sqr_binary64_13345
diff-log_binary64_13469 div-inv_binary64_13374 pow-prod-down_binary64_13448 *-commutative_binary64_13308 flip3--_binary64_13381 div-exp_binary64_13428 flip--_binary64_13352 cbrt-undiv_binary64_13411 associate-*r/_binary64_13319 sub-neg_binary64_13370
Counts
2 → 46
Calls

2 calls:

8.0ms
(*.f64 y (/.f64 -1/2 x))
5.0ms
(-.f64 (*.f64 y (/.f64 -1/2 x)) x)

series39.0ms (3.4%)

Counts
2 → 6
Calls

2 calls:

26.0ms
(-.f64 (*.f64 y (/.f64 -1/2 x)) x)
13.0ms
(*.f64 y (/.f64 -1/2 x))

simplify65.0ms (5.6%)

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04911568
14911568

prune37.0ms (3.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New52052
Fresh011
Picked011
Done011
Total52355
Error
0.0b
Counts
55 → 3
Compiler

Compiled 617 to 383 computations (37.9% saved)

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite4.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_13416
+-commutative_binary64_13307 sum-log_binary64_13468 add-cube-cbrt_binary64_13412 *-un-lft-identity_binary64_13377 add-sqr-sqrt_binary64_13399 pow1_binary64_13438 add-exp-log_binary64_13415 add-cbrt-cube_binary64_13413 flip-+_binary64_13351 flip3-+_binary64_13380
Counts
1 → 11
Calls

1 calls:

3.0ms
(+.f64 x (*.f64 1/2 (/.f64 y x)))

series19.0ms (1.6%)

Counts
1 → 3
Calls

1 calls:

19.0ms
(+.f64 x (*.f64 1/2 (/.f64 y x)))

simplify77.0ms (6.6%)

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
05110211

prune10.0ms (0.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New14014
Fresh000
Picked011
Done022
Total14317
Error
0.0b
Counts
17 → 3
Compiler

Compiled 176 to 93 computations (47.2% saved)

regimes89.0ms (7.7%)

Accuracy

Total 0.1b remaining (95.6%)

Threshold costs 0.1b (95.6%)

Compiler

Compiled 132 to 117 computations (11.4% saved)

bsearch25.0ms (2.1%)

Steps
ItersRangePoint
9
1.2534425764443694e+103
3.1923659553410395e+111
2.2411140221998683e+111
8
-3.6230295069573913e+155
-7.084164734885509e+150
-1.1941406836361118e+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%)

sample463.0ms (39.8%)

Algorithm
intervals
Results
209.0ms8000×body128valid
4.0ms178×body128nan
Compiler

Compiled 84 to 63 computations (25% saved)

Profiling

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