Details

Time bar (total: 1.3s)

analyze2.0ms (0.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
99.9%0%0.1%1
Compiler

Compiled 6 to 6 computations (0% saved)

sample11.0ms (0.9%)

Algorithm
intervals
Results
6.0ms256×body128valid
Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify159.0ms (12.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
0528
1528

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 10 to 10 computations (0% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b
(sqrt.f64 (fabs.f64 (-.f64 x y)))

rewrite2.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
sqrt-prod_binary64_1440 add-sqr-sqrt_binary64_1446
add-cube-cbrt_binary64_1457 pow1_binary64_1483 *-un-lft-identity_binary64_1425
pow1/2_binary64_1502 add-cbrt-cube_binary64_1458 sqrt-pow1_binary64_1442 rem-sqrt-square_binary64_1438 add-exp-log_binary64_1460 add-log-exp_binary64_1461
Counts
1 → 13
Calls

1 calls:

2.0ms
(sqrt.f64 (fabs.f64 (-.f64 x y)))

series47.0ms (3.7%)

Counts
1 → 3
Calls

1 calls:

47.0ms
(sqrt.f64 (fabs.f64 (-.f64 x y)))

simplify146.0ms (11.3%)

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (138.0ms)

IterNodesCost
04767157
14767157

prune9.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New15116
Fresh000
Picked011
Done000
Total15217

Merged error: 0.0b

Counts
17 → 2
Compiler

Compiled 148 to 39 computations (73.6% saved)

localize6.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (fabs.f64 (-.f64 x y)))
0.1b
(sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))
0.1b
(sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))
0.5b
(*.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))))

rewrite29.0ms (2.2%)

Algorithm
rewrite-expression-head
Rules
89×sqrt-prod_binary64_1440
56×add-sqr-sqrt_binary64_1446
41×sqrt-pow1_binary64_1442
32×pow1_binary64_1483
21×add-cube-cbrt_binary64_1457 pow1/2_binary64_1502 *-un-lft-identity_binary64_1425
15×swap-sqr_binary64_1392
unswap-sqr_binary64_1393 associate-*l*_binary64_1368 associate-*r*_binary64_1367 pow-prod-up_binary64_1492
add-cbrt-cube_binary64_1458 add-exp-log_binary64_1460
pow-sqr_binary64_1398 rem-sqrt-square_binary64_1438 pow-prod-down_binary64_1493
add-log-exp_binary64_1461
prod-exp_binary64_1471 pow-plus_binary64_1485 cbrt-unprod_binary64_1455 rem-square-sqrt_binary64_1437 pow2_binary64_1503 sqrt-unprod_binary64_1444 *-commutative_binary64_1358
Counts
4 → 126
Calls

4 calls:

12.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))))
2.0ms
(sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))
2.0ms
(sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))
1.0ms
(sqrt.f64 (fabs.f64 (-.f64 x y)))

series301.0ms (23.3%)

Counts
4 → 12
Calls

4 calls:

111.0ms
(sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))
97.0ms
(sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))
53.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))))
39.0ms
(sqrt.f64 (fabs.f64 (-.f64 x y)))

simplify75.0ms (5.8%)

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
049191482
149191482

prune81.0ms (6.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1380138
Fresh000
Picked011
Done011
Total1382140

Merged error: 0.0b

Counts
140 → 2
Compiler

Compiled 1849 to 272 computations (85.3% saved)

regimes44.0ms (3.4%)

Compiler

Compiled 118 to 92 computations (22% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0168
1168

end0.0ms (0%)

sample371.0ms (28.7%)

Algorithm
intervals
Results
185.0ms8000×body128valid
Compiler

Compiled 29 to 25 computations (13.8% saved)

Profiling

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