Details

Time bar (total: 1.9s)

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 (0.6%)

Algorithm
intervals
Results
6.0ms256×body128valid
Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify97.0ms (5.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
0708
1708

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 (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite2.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_1464 sqrt-prod_binary64_1458
pow1_binary64_1503 add-cube-cbrt_binary64_1477 *-un-lft-identity_binary64_1442
sqrt-pow1_binary64_1460 add-cbrt-cube_binary64_1478 rem-sqrt-square_binary64_1455 add-log-exp_binary64_1481 add-exp-log_binary64_1480 pow1/2_binary64_1522
Counts
1 → 13
Calls

1 calls:

1.0ms
(sqrt.f64 (fabs.f64 (-.f64 x y)))

series49.0ms (2.5%)

Counts
1 → 6
Calls

1 calls:

49.0ms
(sqrt.f64 (fabs.f64 (-.f64 x y)))
Compiler

Compiled 78 to 78 computations (0% saved)

simplify176.0ms (9.1%)

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 0 (168.0ms)

IterNodesCost
04965193
14965193

prune15.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New18119
Fresh000
Picked011
Done000
Total18220

Merged error: 0b

Counts
20 → 2
Compiler

Compiled 171 to 60 computations (64.9% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b
(sqrt.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))))
0.3b
(*.f64 (fabs.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))) (sqrt.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))))
0.5b
(cbrt.f64 (fabs.f64 (-.f64 x y)))
0.5b
(cbrt.f64 (fabs.f64 (-.f64 x y)))

rewrite16.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt_binary64_1464
14×cbrt-prod_binary64_1473 sqrt-prod_binary64_1458
12×add-cube-cbrt_binary64_1477 *-un-lft-identity_binary64_1442
associate-*r*_binary64_1382
pow1_binary64_1503
add-cbrt-cube_binary64_1478 add-exp-log_binary64_1480
add-log-exp_binary64_1481
associate-*l*_binary64_1383 pow1/3_binary64_1524 unswap-sqr_binary64_1410
sqrt-pow1_binary64_1460 rem-sqrt-square_binary64_1455
cbrt-unprod_binary64_1475 pow-prod-down_binary64_1513 *-commutative_binary64_1373 pow1/2_binary64_1522 prod-exp_binary64_1491
Counts
4 → 66
Calls

4 calls:

7.0ms
(*.f64 (fabs.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))) (sqrt.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))))
2.0ms
(sqrt.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))))
1.0ms
(cbrt.f64 (fabs.f64 (-.f64 x y)))
1.0ms
(cbrt.f64 (fabs.f64 (-.f64 x y)))

series947.0ms (49.1%)

Counts
4 → 24
Calls

4 calls:

280.0ms
(*.f64 (fabs.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))) (sqrt.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))))
229.0ms
(sqrt.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))))
223.0ms
(cbrt.f64 (fabs.f64 (-.f64 x y)))
214.0ms
(cbrt.f64 (fabs.f64 (-.f64 x y)))
Compiler

Compiled 750 to 622 computations (17.1% saved)

simplify91.0ms (4.7%)

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
048971508
148971508

prune62.0ms (3.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New90090
Fresh000
Picked011
Done011
Total90292

Merged error: 0b

Counts
92 → 2
Compiler

Compiled 1612 to 344 computations (78.7% saved)

regimes48.0ms (2.5%)

Compiler

Compiled 218 to 137 computations (37.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0168
1168

end0.0ms (0%)

sample396.0ms (20.5%)

Algorithm
intervals
Results
191.0ms8000×body128valid
Compiler

Compiled 49 to 34 computations (30.6% saved)

Profiling

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