Details

Time bar (total: 1.7s)

analyze135.0ms (7.9%)

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
Compiler

Compiled 24 to 18 computations (25% saved)

sample27.0ms (1.6%)

Algorithm
intervals
Results
13.0ms256×body128valid
5.0ms256×pre128true
Compiler

Compiled 43 to 33 computations (23.3% saved)

simplify161.0ms (9.4%)

Algorithm
egg-herbie
Rules
793×distribute-rgt-neg-in_binary64
625×unswap-sqr_binary64
613×fma-def_binary64
509×fma-neg_binary64
441×cancel-sign-sub-inv_binary64
Counts
1 → 2
Iterations

Useful iterations: 10 (0.0ms)

IterNodesCost
01322
12820
27520
315420
441520
5120920
6243520
7397220
8382420
9416020
10440518
11372818
12469818
13487818
14472218

prune3.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
52.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
52.0b
(+.f64 (-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4)) (*.f64 2 (*.f64 y y)))
Compiler

Compiled 64 to 47 computations (26.6% saved)

localize9.0ms (0.5%)

Local error

Found 1 expressions with local error:

NewErrorProgram
23.0b
(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

series17.0ms (1%)

Counts
1 → 6
Calls

1 calls:

17.0ms
(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

rewrite11.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
cancel-sign-sub-inv_binary64
prod-diff_binary64
unpow-prod-down_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
Counts
1 → 28
Calls

1 calls:

9.0ms
(-.f64 (*.f64 9 (pow.f64 x 4)) (pow.f64 y 4))

simplify72.0ms (4.2%)

Algorithm
egg-herbie
Rules
718×fma-neg_binary64
669×fma-def_binary64
338×distribute-rgt-neg-in_binary64
318×cancel-sign-sub-inv_binary64
271×exp-prod_binary64
Counts
34 → 35
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
086845
1185650
2623461
31213426
42673420
54197420
64695420

prune28.0ms (1.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New34135
Fresh000
Picked101
Done000
Total35136
Error
0b
Counts
36 → 1
Alt Table
StatusErrorProgram
0b
(+.f64 (+.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 y 4)) (sqrt.f64 (pow.f64 y 4))))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 y 4))) (sqrt.f64 (pow.f64 y 4)) (*.f64 (sqrt.f64 (pow.f64 y 4)) (sqrt.f64 (pow.f64 y 4))))) (*.f64 2 (*.f64 y y)))
Compiler

Compiled 1005 to 727 computations (27.7% saved)

localize15.0ms (0.9%)

Local error

Found 2 expressions with local error:

NewErrorProgram
23.0b
(fma.f64 9 (pow.f64 x 4) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 y 4)) (sqrt.f64 (pow.f64 y 4)))))
62.0b
(fma.f64 (neg.f64 (sqrt.f64 (pow.f64 y 4))) (sqrt.f64 (pow.f64 y 4)) (*.f64 (sqrt.f64 (pow.f64 y 4)) (sqrt.f64 (pow.f64 y 4))))

series29.0ms (1.7%)

Counts
2 → 36
Calls

2 calls:

22.0ms
(fma.f64 9 (pow.f64 x 4) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 y 4)) (sqrt.f64 (pow.f64 y 4)))))
7.0ms
(fma.f64 (neg.f64 (sqrt.f64 (pow.f64 y 4))) (sqrt.f64 (pow.f64 y 4)) (*.f64 (sqrt.f64 (pow.f64 y 4)) (sqrt.f64 (pow.f64 y 4))))

rewrite2.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
add-exp-log_binary64
Counts
2 → 20
Calls

2 calls:

0.0ms
(fma.f64 (neg.f64 (sqrt.f64 (pow.f64 y 4))) (sqrt.f64 (pow.f64 y 4)) (*.f64 (sqrt.f64 (pow.f64 y 4)) (sqrt.f64 (pow.f64 y 4))))
0.0ms
(fma.f64 9 (pow.f64 x 4) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 y 4)) (sqrt.f64 (pow.f64 y 4)))))

simplify87.0ms (5.1%)

Algorithm
egg-herbie
Rules
899×unsub-neg_binary64
746×times-frac_binary64
442×*-commutative_binary64
295×exp-prod_binary64
291×associate-*l*_binary64
Counts
56 → 40
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037607
153535
2125479
3360479
41464479
53054479
64505479
75955479

prune48.0ms (2.8%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New40040
Fresh000
Picked011
Done000
Total40141
Error
0b
Counts
41 → 1
Alt Table
StatusErrorProgram
0b
(+.f64 (+.f64 (fma.f64 9 (pow.f64 x 4) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 y 4)) (sqrt.f64 (pow.f64 y 4))))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 y 4))) (sqrt.f64 (pow.f64 y 4)) (*.f64 (sqrt.f64 (pow.f64 y 4)) (sqrt.f64 (pow.f64 y 4))))) (*.f64 2 (*.f64 y y)))
Compiler

Compiled 1740 to 1338 computations (23.1% saved)

regimes31.0ms (1.8%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Counts
3 → 1
Compiler

Compiled 623 to 488 computations (21.7% saved)

simplify7.0ms (0.4%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01864
12964
23364
33564
43564

end1.0ms (0.1%)

Compiler

Compiled 43 to 34 computations (20.9% saved)

sample1.0s (60.3%)

Algorithm
intervals
Results
470.0ms8000×body128valid
174.0ms8000×pre128true
Compiler

Compiled 112 to 88 computations (21.4% saved)

Profiling

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