Details

Time bar (total: 7.2s)

analyze4.0ms (0.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0%14
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.2s (16.9%)

Results
457.0ms2063×body512valid
416.0ms4661×body128valid
163.0ms1038×body256valid
145.0ms494×body1024valid
Compiler

Compiled 38 to 32 computations (15.8% saved)

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
39×fma-def_binary64
32×fma-neg_binary64
14×cancel-sign-sub-inv_binary64
13×sub-neg_binary64
10×distribute-rgt-in_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
11616
22116
32916
43716
55516
68016
79716
811416
912416
1012816
1113016
1211616

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
13.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶13.0b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 47 to 39 computations (17% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (+.f64 x 1))
✓0.0b
(/.f64 1 (-.f64 x 1))
✓1.9b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

series8.0ms (0.1%)

Counts
3 → 36
Calls

3 calls:

3.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
2.0ms
(/.f64 1 (-.f64 x 1))
2.0ms
(/.f64 1 (+.f64 x 1))

rewrite147.0ms (2%)

Algorithm
1×rewrite-expression-head
Rules
870×*-un-lft-identity_binary64
804×times-frac_binary64
733×add-sqr-sqrt_binary64
486×prod-diff_binary64
465×add-cube-cbrt_binary64
Counts
3 → 661
Calls

3 calls:

31.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
5.0ms
(/.f64 1 (+.f64 x 1))
4.0ms
(/.f64 1 (-.f64 x 1))

simplify579.0ms (8%)

Algorithm
1×egg-herbie
Rules
947×fma-neg_binary64
335×times-frac_binary64
236×distribute-rgt-in_binary64
231×div-sub_binary64
202×associate-/l*_binary64
Counts
697 → 531
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
027227782
163218403
2177213759
3394512706
4497212706
5498912706
6490912706

prune580.0ms (8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New5292531
Fresh000
Picked011
Done000
Total5293532
Error
0.9b
Counts
532 → 3
Alt Table
StatusErrorProgram
✓13.0b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
33.6b
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))
▶31.2b
(*.f64 2 (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
Compiler

Compiled 23079 to 19162 computations (17% saved)

localize6.0ms (0.1%)

prune2.0ms (0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done011
Total033
Error
0.9b
Counts
3 → 3
Alt Table
StatusErrorProgram
✓13.0b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
▶33.6b
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))
✓31.2b
(*.f64 2 (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
Compiler

Compiled 47 to 36 computations (23.4% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))
✓0.2b
(/.f64 2 (pow.f64 x 4))
✓1.0b
(/.f64 -2 (*.f64 x x))

series9.0ms (0.1%)

Counts
3 → 24
Calls

3 calls:

4.0ms
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))
3.0ms
(/.f64 2 (pow.f64 x 4))
2.0ms
(/.f64 -2 (*.f64 x x))

rewrite56.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
280×times-frac_binary64
205×add-sqr-sqrt_binary64
187×*-un-lft-identity_binary64
185×add-cube-cbrt_binary64
175×prod-diff_binary64
Counts
3 → 300
Calls

3 calls:

15.0ms
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))
4.0ms
(/.f64 2 (pow.f64 x 4))
3.0ms
(/.f64 -2 (*.f64 x x))

simplify287.0ms (4%)

Algorithm
1×egg-herbie
Rules
931×fma-neg_binary64
393×cancel-sign-sub-inv_binary64
260×exp-prod_binary64
234×fma-udef_binary64
206×distribute-neg-frac_binary64
Counts
324 → 352
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043910184
110147452
222935604
338245604
449805604
546685604

prune398.0ms (5.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New3502352
Fresh000
Picked011
Done022
Total3505355
Error
0.0b
Counts
355 → 5
Alt Table
StatusErrorProgram
✓31.2b
(*.f64 2 (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
42.2b
(-.f64 (cbrt.f64 (/.f64 -8 (pow.f64 x 6))) (/.f64 2 (pow.f64 x 4)))
✓13.0b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
▶32.7b
(-.f64 (/.f64 (/.f64 -2 x) x) (/.f64 2 (pow.f64 x 4)))
✓33.6b
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))
Compiler

Compiled 13851 to 10787 computations (22.1% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (/.f64 (/.f64 -2 x) x) (/.f64 2 (pow.f64 x 4)))
✓0.2b
(/.f64 (/.f64 -2 x) x)
0.2b
(/.f64 2 (pow.f64 x 4))

series9.0ms (0.1%)

Counts
2 → 24
Calls

2 calls:

6.0ms
(-.f64 (/.f64 (/.f64 -2 x) x) (/.f64 2 (pow.f64 x 4)))
2.0ms
(/.f64 (/.f64 -2 x) x)

rewrite355.0ms (4.9%)

Algorithm
1×rewrite-expression-head
Rules
2738×times-frac_binary64
1612×add-sqr-sqrt_binary64
1576×*-un-lft-identity_binary64
1570×add-cube-cbrt_binary64
1075×prod-diff_binary64
Counts
2 → 1243
Calls

2 calls:

72.0ms
(-.f64 (/.f64 (/.f64 -2 x) x) (/.f64 2 (pow.f64 x 4)))
4.0ms
(/.f64 (/.f64 -2 x) x)

simplify1.5s (20.1%)

Algorithm
1×egg-herbie
Rules
840×fma-udef_binary64
731×fma-def_binary64
715×unsub-neg_binary64
581×associate-+r-_binary64
367×fma-neg_binary64
Counts
1267 → 1394
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0118759931
1238242971
2287231577
3399931189
4469931189

prune1.9s (26.9%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New145401454
Fresh011
Picked011
Done033
Total145451459
Error
0.0b
Counts
1459 → 5
Alt Table
StatusErrorProgram
✓31.2b
(*.f64 2 (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
42.2b
(-.f64 (cbrt.f64 (/.f64 -8 (pow.f64 x 6))) (/.f64 2 (pow.f64 x 4)))
✓13.0b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
✓32.7b
(-.f64 (/.f64 (/.f64 -2 x) x) (/.f64 2 (pow.f64 x 4)))
✓33.6b
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))
Compiler

Compiled 78110 to 59555 computations (23.8% saved)

regimes58.0ms (0.8%)

Accuracy

Total 0.2b remaining (83.9%)

Threshold costs 0.2b (83.9%)

Counts
21 → 2
Compiler

Compiled 534 to 424 computations (20.6% saved)

bsearch1.0ms (0%)

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify3.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02453
13653
24953
35453
45653
55353

end81.0ms (1.1%)

Compiler

Compiled 132 to 105 computations (20.5% saved)

Profiling

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