Details

Time bar (total: 1.0s)

analyze1.0ms (0.1%)

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

Compiled 10 to 8 computations (20% saved)

sample693.0ms (69.1%)

Symmetry

(sort x y)

Results
664.0ms8256×body128valid
Compiler

Compiled 65 to 49 computations (24.6% saved)

simplify24.0ms (2.4%)

Algorithm
egg-herbie
Rules
890×fma-neg_binary64
563×cancel-sign-sub-inv_binary64
521×fma-def_binary64
318×associate-*l*_binary64
254×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03162
18258
224455
382054
4330954
Stop Event
node limit
Counts
1 → 2

prune4.0ms (0.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
63.1b
Counts
3 → 1
Alt Table
StatusErrorProgram
63.1b
(fma.f64 1335/4 (pow.f64 y 6) (fma.f64 x (*.f64 x (fma.f64 (pow.f64 y 4) -121 (fma.f64 y (fma.f64 x (*.f64 x (*.f64 y 11)) (neg.f64 (pow.f64 y 5))) -2))) (fma.f64 11/2 (pow.f64 y 8) (/.f64 x (*.f64 y 2)))))
Compiler

Compiled 163 to 115 computations (29.4% saved)

localize21.0ms (2.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
1.0b
(*.f64 x (fma.f64 (pow.f64 y 4) -121 (fma.f64 y (fma.f64 x (*.f64 x (*.f64 y 11)) (neg.f64 (pow.f64 y 5))) -2)))

series30.0ms (3%)

Counts
1 → 24
Calls

1 calls:

30.0ms
(*.f64 x (fma.f64 (pow.f64 y 4) -121 (fma.f64 y (fma.f64 x (*.f64 x (*.f64 y 11)) (neg.f64 (pow.f64 y 5))) -2)))

rewrite44.0ms (4.4%)

Algorithm
batch-egg-rewrite
Rules
279×log1p-udef_binary64
245×prod-diff_binary64
169×add-sqr-sqrt_binary64
164×log1p-expm1-u_binary64
164×expm1-log1p-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01730
136028
2408128
Stop Event
node limit
Counts
1 → 17
Calls

1 calls:

43.0ms
(*.f64 x (fma.f64 (pow.f64 y 4) -121 (fma.f64 y (fma.f64 x (*.f64 x (*.f64 y 11)) (neg.f64 (pow.f64 y 5))) -2)))

simplify39.0ms (3.9%)

Algorithm
egg-herbie
Rules
701×fma-neg_binary64
534×cancel-sign-sub-inv_binary64
459×distribute-rgt-neg-in_binary64
274×distribute-neg-in_binary64
263×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036649
1108586
2327571
31217558
43744558
Stop Event
node limit
Counts
41 → 35

prune33.0ms (3.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New34135
Fresh000
Picked101
Done000
Total35136
Error
63.1b
Counts
36 → 1
Alt Table
StatusErrorProgram
63.1b
(fma.f64 1335/4 (pow.f64 y 6) (fma.f64 x (*.f64 (fma.f64 121 (pow.f64 y 4) (pow.f64 y 6)) (neg.f64 x)) (fma.f64 11/2 (pow.f64 y 8) (/.f64 x (*.f64 y 2)))))
Compiler

Compiled 1295 to 914 computations (29.4% saved)

localize15.0ms (1.5%)

prune2.0ms (0.2%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011
Error
63.1b
Counts
1 → 1
Alt Table
StatusErrorProgram
63.1b
(fma.f64 1335/4 (pow.f64 y 6) (fma.f64 x (*.f64 (fma.f64 121 (pow.f64 y 4) (pow.f64 y 6)) (neg.f64 x)) (fma.f64 11/2 (pow.f64 y 8) (/.f64 x (*.f64 y 2)))))
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes22.0ms (2.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
5 → 1
Compiler

Compiled 642 to 470 computations (26.8% saved)

simplify3.0ms (0.3%)

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
02140
12940
23740
34340
44640
54740
Stop Event
saturated

end71.0ms (7.1%)

Remove

(sort x y)

Compiler

Compiled 150 to 110 computations (26.7% saved)

Profiling

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