Details

Time bar (total: 3.8s)

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)

sample1.3s (35.5%)

Results
536.0ms2094×body512valid
453.0ms4673×body128valid
175.0ms1051×body256valid
132.0ms438×body1024valid
Compiler

Compiled 38 to 32 computations (15.8% saved)

simplify10.0ms (0.3%)

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

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
14.6b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶14.6b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 47 to 39 computations (17% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (+.f64 x 1))
✓0.0b
(/.f64 1 (-.f64 x 1))
✓2.8b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

series7.0ms (0.2%)

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))

rewrite160.0ms (4.3%)

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:

39.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
4.0ms
(/.f64 1 (-.f64 x 1))
4.0ms
(/.f64 1 (+.f64 x 1))

simplify581.0ms (15.5%)

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

prune588.0ms (15.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New5283531
Fresh000
Picked101
Done000
Total5293532
Error
0.4b
Counts
532 → 3
Alt Table
StatusErrorProgram
32.0b
(+.f64 (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 -2 (pow.f64 x 6)))
▶14.2b
(/.f64 (-.f64 x (+.f64 2 x)) (fma.f64 x x -1))
32.5b
(*.f64 2 (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
Compiler

Compiled 23101 to 19176 computations (17% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 x (+.f64 2 x)) (fma.f64 x x -1))
✓2.4b
(-.f64 x (+.f64 2 x))

series4.0ms (0.1%)

Counts
2 → 24
Calls

2 calls:

3.0ms
(/.f64 (-.f64 x (+.f64 2 x)) (fma.f64 x x -1))
1.0ms
(-.f64 x (+.f64 2 x))

rewrite18.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
55×*-un-lft-identity_binary64
32×add-sqr-sqrt_binary64
22×add-cube-cbrt_binary64
18×times-frac_binary64
12×prod-diff_binary64
Counts
2 → 81
Calls

2 calls:

7.0ms
(/.f64 (-.f64 x (+.f64 2 x)) (fma.f64 x x -1))
6.0ms
(-.f64 x (+.f64 2 x))

simplify75.0ms (2%)

Algorithm
1×egg-herbie
Rules
512×fma-def_binary64
468×associate-*r*_binary64
325×distribute-rgt-in_binary64
280×distribute-lft-in_binary64
260×div-sub_binary64
Counts
105 → 127
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01561716
13711547
211431129
344081129
448771129

prune75.0ms (2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1243127
Fresh202
Picked101
Done000
Total1273130
Error
0.3b
Counts
130 → 3
Alt Table
StatusErrorProgram
▶0.4b
(/.f64 -2 (fma.f64 x x -1))
31.9b
(/.f64 (/.f64 -2 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))
0.6b
(/.f64 (/.f64 -2 (*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)))
Compiler

Compiled 2413 to 1659 computations (31.2% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.4b
(/.f64 -2 (fma.f64 x x -1))

series3.0ms (0.1%)

Counts
1 → 12
Calls

1 calls:

3.0ms
(/.f64 -2 (fma.f64 x x -1))

rewrite3.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
9×*-un-lft-identity_binary64
9×times-frac_binary64
9×add-sqr-sqrt_binary64
9×add-cube-cbrt_binary64
3×associate-/r*_binary64
Counts
1 → 29
Calls

1 calls:

2.0ms
(/.f64 -2 (fma.f64 x x -1))

simplify57.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
741×fma-def_binary64
662×fma-neg_binary64
373×unswap-sqr_binary64
363×associate-*l*_binary64
341×associate-/r*_binary64
Counts
41 → 48
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
089680
1194628
2483625
31288622
44089622
55299622

prune28.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New48048
Fresh022
Picked011
Done000
Total48351
Error
0.3b
Counts
51 → 3
Alt Table
StatusErrorProgram
✓0.4b
(/.f64 -2 (fma.f64 x x -1))
31.9b
(/.f64 (/.f64 -2 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))
▶0.6b
(/.f64 (/.f64 -2 (*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)))
Compiler

Compiled 705 to 535 computations (24.1% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (/.f64 -2 (*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)))
✓0.2b
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (fma.f64 x x -1)))
✓0.7b
(/.f64 -2 (*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (fma.f64 x x -1))))
✓15.6b
(cbrt.f64 (fma.f64 x x -1))

series24.0ms (0.6%)

Counts
4 → 48
Calls

4 calls:

7.0ms
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (fma.f64 x x -1)))
7.0ms
(/.f64 -2 (*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (fma.f64 x x -1))))
6.0ms
(cbrt.f64 (fma.f64 x x -1))
3.0ms
(/.f64 (/.f64 -2 (*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)))

rewrite28.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
66×times-frac_binary64
53×add-sqr-sqrt_binary64
45×*-un-lft-identity_binary64
45×add-cube-cbrt_binary64
43×cbrt-prod_binary64
Counts
4 → 152
Calls

4 calls:

8.0ms
(/.f64 (/.f64 -2 (*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)))
5.0ms
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (fma.f64 x x -1)))
4.0ms
(/.f64 -2 (*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (fma.f64 x x -1))))
1.0ms
(cbrt.f64 (fma.f64 x x -1))

simplify170.0ms (4.5%)

Algorithm
1×egg-herbie
Rules
582×fma-def_binary64
504×times-frac_binary64
334×fma-neg_binary64
329×associate-/l/_binary64
231×cancel-sign-sub-inv_binary64
Counts
200 → 295
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02935397
17035006
220704484
347194484
449854484
549234484

prune324.0ms (8.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New3552357
Fresh011
Picked011
Done011
Total3555360
Error
0.3b
Counts
360 → 5
Alt Table
StatusErrorProgram
✓0.4b
(/.f64 -2 (fma.f64 x x -1))
31.9b
(/.f64 (/.f64 -2 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))
✓0.6b
(/.f64 (/.f64 -2 (*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)))
40.4b
(/.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) -2) (cbrt.f64 (fma.f64 x x -1)))
32.3b
(*.f64 (/.f64 (*.f64 (cbrt.f64 -2) (cbrt.f64 -2)) (*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))) (/.f64 (cbrt.f64 -2) (*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))))
Compiler

Compiled 9753 to 7278 computations (25.4% saved)

regimes150.0ms (4%)

Accuracy

Total 0.1b remaining (12.6%)

Threshold costs 0.1b (12.6%)

Counts
82 → 1
Compiler

Compiled 3316 to 2656 computations (19.9% saved)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
168

end82.0ms (2.2%)

Compiler

Compiled 105 to 78 computations (25.7% saved)

Profiling

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