Details

Time bar (total: 3.6s)

analyze3.0ms (0.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
75%75%25%0%0%0%0%4
87.5%87.5%12.5%0%0%0%0%5
93.8%93.7%6.2%0%0%0%0%6
96.9%96.8%3.1%0%0%0%0%7
98.4%98.4%1.6%0%0%0%0%8
99.2%99.2%0.8%0%0%0%0%9
99.6%99.6%0.4%0%0%0%0%10
99.8%99.8%0.2%0%0%0%0%11
99.9%99.9%0.1%0%0%0%0%12
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.1s (31.8%)

Results
643.0ms5676×body256valid
387.0ms2144×body512valid
92.0ms436×body1024valid
Bogosity

preprocess23.0ms (0.7%)

Algorithm
egg-herbie
Rules
39×fma-def_binary64
32×fma-neg_binary64
15×cancel-sign-sub-inv_binary64
13×sub-neg_binary64
10×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
11616
22116
32916
43916
55716
69416
712816
817416
921016
1023616
1123816
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
Outputs
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))
Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify12.0ms (0.3%)

Algorithm
egg-herbie
Rules
39×fma-def_binary64
32×fma-neg_binary64
15×cancel-sign-sub-inv_binary64
13×sub-neg_binary64
10×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
11616
22116
32916
43916
55716
69416
712816
817416
921016
1023616
1123816
Stop Event
saturated
Counts
1 → 3
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
Outputs
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))

eval1.0ms (0%)

Compiler

Compiled 34 to 28 computations (17.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New213
Fresh011
Picked000
Done000
Total224
Error
13.2b
Counts
4 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
13.2b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize13.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiled 30 to 23 computations (23.3% saved)

series3.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
1.0ms
x
@0
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
0.0ms
x
@-inf
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
0.0ms
x
@inf
(/.f64 1 (-.f64 x 1))
0.0ms
x
@-inf
(/.f64 1 (-.f64 x 1))

rewrite67.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
867×prod-diff_binary64
424×log-prod_binary64
364×fma-def_binary64
239×pow2_binary64
225×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0823
119223
2298523
Stop Event
node limit
Counts
2 → 180
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
(/.f64 1 (-.f64 x 1))
Outputs
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simplify92.0ms (2.6%)

Algorithm
egg-herbie
Rules
434×distribute-rgt-in_binary64
364×distribute-lft-in_binary64
364×fma-neg_binary64
312×div-sub_binary64
265×unswap-sqr_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04205105
111064615
235123310
Stop Event
node limit
Counts
204 → 281
Calls
Call 1
Inputs
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(/.f64 -2 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -2 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 -1 (+.f64 x -1)) 1))
(+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))) (fma.f64 (/.f64 -1 (+.f64 x -1)) 1 (/.f64 1 (+.f64 x -1))))
(+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1)))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1))))
(+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))) (+.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 1 (+.f64 x -1))))
(+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))) (fma.f64 -1 (/.f64 1 (+.f64 x -1)) (/.f64 1 (+.f64 x -1))))
(+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2))) (/.f64 1 (cbrt.f64 (+.f64 x -1))) (/.f64 1 (+.f64 x -1))))
(+.f64 0 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))))
(+.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 1 (+.f64 1 x)))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (*.f64 (/.f64 -1 (+.f64 x -1)) -1))) (fma.f64 (neg.f64 (/.f64 -1 (+.f64 x -1))) -1 (*.f64 (/.f64 -1 (+.f64 x -1)) -1)))
(+.f64 (fma.f64 (/.f64 1 (+.f64 1 x)) 1 (neg.f64 (*.f64 (/.f64 -1 (+.f64 x -1)) -1))) (fma.f64 (neg.f64 (/.f64 -1 (+.f64 x -1))) -1 (*.f64 (/.f64 -1 (+.f64 x -1)) -1)))
(+.f64 (fma.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (neg.f64 (*.f64 (/.f64 -1 (+.f64 x -1)) -1))) (fma.f64 (neg.f64 (/.f64 -1 (+.f64 x -1))) -1 (*.f64 (/.f64 -1 (+.f64 x -1)) -1)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (neg.f64 (*.f64 (/.f64 -1 (+.f64 x -1)) -1))) (fma.f64 (neg.f64 (/.f64 -1 (+.f64 x -1))) -1 (*.f64 (/.f64 -1 (+.f64 x -1)) -1)))
(+.f64 (fma.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2) (neg.f64 (*.f64 (/.f64 -1 (+.f64 x -1)) -1))) (fma.f64 (neg.f64 (/.f64 -1 (+.f64 x -1))) -1 (*.f64 (/.f64 -1 (+.f64 x -1)) -1)))
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(/.f64 1 (/.f64 (fma.f64 x x -1) (+.f64 x (-.f64 -1 (+.f64 1 x)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 1 (fma.f64 x x -1)))) (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3))))
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(/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (fma.f64 x x -1))
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(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))))
(exp.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))) 1))
(fma.f64 1 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))
(fma.f64 1 (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 -1 (+.f64 x -1)) 1))
(fma.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))) (fma.f64 (/.f64 -1 (+.f64 x -1)) 1 (/.f64 1 (+.f64 x -1))))
(fma.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1)))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1))))
(fma.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))) (+.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 1 (+.f64 x -1))))
(fma.f64 1 (/.f64 -1 (+.f64 x -1)) (/.f64 1 (+.f64 1 x)))
(fma.f64 (/.f64 1 (+.f64 1 x)) 1 (/.f64 -1 (+.f64 x -1)))
(fma.f64 (/.f64 1 (+.f64 1 x)) 1 (*.f64 (/.f64 -1 (+.f64 x -1)) 1))
(fma.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))) 1 (fma.f64 (/.f64 -1 (+.f64 x -1)) 1 (/.f64 1 (+.f64 x -1))))
(fma.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))) 1 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1)))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1))))
(fma.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))) 1 (+.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 1 (+.f64 x -1))))
(fma.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))) 2) (fma.f64 (/.f64 -1 (+.f64 x -1)) 1 (/.f64 1 (+.f64 x -1))))
(fma.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))) 2) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1)))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1))))
(fma.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))) 2) (+.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 1 (+.f64 x -1))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))) 2) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))) (fma.f64 (/.f64 -1 (+.f64 x -1)) 1 (/.f64 1 (+.f64 x -1))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))) 2) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1)))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))) 2) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))) (+.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 1 (+.f64 x -1))))
(fma.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 -1 (+.f64 x -1)))
(fma.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (*.f64 (/.f64 -1 (+.f64 x -1)) 1))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (/.f64 -1 (+.f64 x -1)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (*.f64 (/.f64 -1 (+.f64 x -1)) 1))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1)))) (/.f64 1 (+.f64 1 x)))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))) (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))) (fma.f64 (/.f64 -1 (+.f64 x -1)) 1 (/.f64 1 (+.f64 x -1))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))) (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1)))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))) (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))) (+.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 1 (+.f64 x -1))))
(fma.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2) (/.f64 -1 (+.f64 x -1)))
(fma.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2) (*.f64 (/.f64 -1 (+.f64 x -1)) 1))
(fma.f64 (pow.f64 (+.f64 x -1) -1/2) (neg.f64 (pow.f64 (+.f64 x -1) -1/2)) (/.f64 1 (+.f64 1 x)))
(fma.f64 -1 (/.f64 1 (+.f64 x -1)) (/.f64 1 (+.f64 1 x)))
(fma.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 x))) (/.f64 -1 (+.f64 x -1)))
(fma.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 x))) (*.f64 (/.f64 -1 (+.f64 x -1)) 1))
(fma.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (/.f64 1 (fma.f64 x x -1)) (fma.f64 (/.f64 -1 (+.f64 x -1)) 1 (/.f64 1 (+.f64 x -1))))
(fma.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (/.f64 1 (fma.f64 x x -1)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1)))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1))))
(fma.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (/.f64 1 (fma.f64 x x -1)) (+.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 1 (+.f64 x -1))))
(fma.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 1 (fma.f64 x x -1))))) (fma.f64 (/.f64 -1 (+.f64 x -1)) 1 (/.f64 1 (+.f64 x -1))))
(fma.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 1 (fma.f64 x x -1))))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1)))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1))))
(fma.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 1 (fma.f64 x x -1))))) (+.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 1 (+.f64 x -1))))
(fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x -1) (/.f64 -1 (+.f64 x -1)))
(fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x -1) (*.f64 (/.f64 -1 (+.f64 x -1)) 1))
(fma.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (fma.f64 (/.f64 -1 (+.f64 x -1)) 1 (/.f64 1 (+.f64 x -1))))
(fma.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1)))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1))))
(fma.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (+.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 1 (+.f64 x -1))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 x -1))) 2) (cbrt.f64 (/.f64 -1 (+.f64 x -1))) (/.f64 1 (+.f64 1 x)))
(fma.f64 (sqrt.f64 (/.f64 -1 (+.f64 x -1))) (sqrt.f64 (/.f64 -1 (+.f64 x -1))) (/.f64 1 (+.f64 1 x)))
(fma.f64 (neg.f64 (pow.f64 (+.f64 x -1) -1/2)) (pow.f64 (+.f64 x -1) -1/2) (/.f64 1 (+.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -2) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (/.f64 -1 (+.f64 x -1)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -2) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (*.f64 (/.f64 -1 (+.f64 x -1)) 1))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 x -1) -1/2)) (-.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 x -1) -1/2)) (fma.f64 (/.f64 -1 (+.f64 x -1)) 1 (/.f64 1 (+.f64 x -1))))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 x -1) -1/2)) (-.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 x -1) -1/2)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1)))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1))))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 x -1) -1/2)) (-.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 x -1) -1/2)) (+.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 1 (+.f64 x -1))))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2))) (/.f64 1 (cbrt.f64 (+.f64 x -1))) (/.f64 1 (+.f64 1 x)))
(fma.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x) (/.f64 -1 (+.f64 x -1)))
(fma.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x) (*.f64 (/.f64 -1 (+.f64 x -1)) 1))
(+.f64 0 (/.f64 1 (+.f64 x -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1)))) 1)
(*.f64 1 (/.f64 1 (+.f64 x -1)))
(*.f64 (/.f64 1 (+.f64 x -1)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))))
(*.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2))
(*.f64 -1 (/.f64 -1 (+.f64 x -1)))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) -2) (/.f64 1 (cbrt.f64 (+.f64 x -1))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -1)) (+.f64 (fma.f64 x x 1) x))
(pow.f64 (+.f64 x -1) -1)
(pow.f64 (/.f64 1 (+.f64 x -1)) 1)
(pow.f64 (pow.f64 (+.f64 x -1) 3) -1/3)
(pow.f64 (pow.f64 (+.f64 x -1) -2) 1/2)
(pow.f64 (cbrt.f64 (+.f64 x -1)) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) 3)
(pow.f64 (sqrt.f64 (+.f64 x -1)) -2)
(pow.f64 (pow.f64 (+.f64 x -1) -1/2) 2)
(pow.f64 (pow.f64 (+.f64 x -1) -3) 1/3)
(pow.f64 (neg.f64 (+.f64 (neg.f64 x) 1)) -1)
(sqrt.f64 (pow.f64 (+.f64 x -1) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1)))))
(cbrt.f64 (pow.f64 (+.f64 x -1) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))))
(exp.f64 (neg.f64 (log.f64 (+.f64 x -1))))
(exp.f64 (*.f64 (log.f64 (+.f64 x -1)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x -1))) 1))
Outputs
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(fma.f64 2 (*.f64 x x) 2)
(*.f64 (fma.f64 x x 1) 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))
(+.f64 (fma.f64 2 (*.f64 x x) 2) (*.f64 2 (pow.f64 x 4)))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 4) 2))
(*.f64 2 (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (fma.f64 2 (pow.f64 x 4) 2)))
(+.f64 (*.f64 2 (+.f64 (+.f64 (*.f64 x x) (pow.f64 x 6)) (pow.f64 x 4))) 2)
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))))
(+.f64 (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 -2 (pow.f64 x 6)))
(+.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 -2 (pow.f64 x 4))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 8)) (/.f64 2 (pow.f64 x 6))) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 8)) (/.f64 -2 (pow.f64 x 6))) (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (+.f64 (/.f64 -2 (pow.f64 x 8)) (/.f64 -2 (pow.f64 x 6))))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))))
(+.f64 (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 -2 (pow.f64 x 6)))
(+.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 -2 (pow.f64 x 4))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 8)) (/.f64 2 (pow.f64 x 6))) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 8)) (/.f64 -2 (pow.f64 x 6))) (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (+.f64 (/.f64 -2 (pow.f64 x 8)) (/.f64 -2 (pow.f64 x 6))))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (neg.f64 (*.f64 x x)) (-.f64 -1 x))
(fma.f64 -1 (fma.f64 x x x) -1)
(-.f64 -1 (fma.f64 x x x))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (neg.f64 (pow.f64 x 3)) (+.f64 (neg.f64 (*.f64 x x)) (-.f64 -1 x)))
(+.f64 -1 (-.f64 (*.f64 x (-.f64 -1 x)) (pow.f64 x 3)))
(+.f64 -1 (*.f64 x (-.f64 -1 (fma.f64 x x x))))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
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(/.f64 (-.f64 (pow.f64 (+.f64 x 1) -3) (pow.f64 (+.f64 x -1) -3)) (+.f64 (pow.f64 (+.f64 x 1) -2) (+.f64 (/.f64 1 (fma.f64 x x -1)) (pow.f64 (+.f64 x -1) -2))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 x -1) -2)) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
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(/.f64 (-.f64 (+.f64 (neg.f64 x) 1) (*.f64 (+.f64 1 x) -1)) (*.f64 (+.f64 1 x) (+.f64 (neg.f64 x) 1)))
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(pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))) 1)
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(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -1 (+.f64 x -1)))
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(pow.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))) 3) 1/3)
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(/.f64 -2 (fma.f64 x x -1))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))) 3)
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -1 (+.f64 x -1)))
(/.f64 -2 (fma.f64 x x -1))
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(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -1 (+.f64 x -1)))
(/.f64 -2 (fma.f64 x x -1))
(pow.f64 (/.f64 (fma.f64 x x -1) (+.f64 x (-.f64 -1 (+.f64 1 x)))) -1)
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -1 (+.f64 x -1)))
(/.f64 -2 (fma.f64 x x -1))
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 1 (fma.f64 x x -1)))) (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3))) -1)
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(/.f64 (-.f64 (pow.f64 (+.f64 x 1) -3) (pow.f64 (+.f64 x -1) -3)) (+.f64 (pow.f64 (+.f64 x 1) -2) (+.f64 (/.f64 1 (fma.f64 x x -1)) (pow.f64 (+.f64 x -1) -2))))
(pow.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 x -1) -2))) -1)
(/.f64 1 (/.f64 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) (-.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 (+.f64 x -1) -2))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) -2) (pow.f64 (+.f64 x -1) -2)) (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))
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(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -1 (+.f64 x -1)))
(/.f64 -2 (fma.f64 x x -1))
(log.f64 (exp.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -1 (+.f64 x -1)))
(/.f64 -2 (fma.f64 x x -1))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))))))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -1 (+.f64 x -1)))
(/.f64 -2 (fma.f64 x x -1))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 x)))) (exp.f64 (/.f64 1 (+.f64 x -1)))))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -1 (+.f64 x -1)))
(/.f64 -2 (fma.f64 x x -1))
(log.f64 (/.f64 (exp.f64 (/.f64 1 (+.f64 1 x))) (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1))))))
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(/.f64 -2 (fma.f64 x x -1))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 x)))) (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1))))))
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(/.f64 -2 (fma.f64 x x -1))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 x)))) (exp.f64 (/.f64 -1 (+.f64 x -1)))))
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(/.f64 -2 (fma.f64 x x -1))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 x)))) (pow.f64 (E.f64) (/.f64 -1 (+.f64 x -1)))))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -1 (+.f64 x -1)))
(/.f64 -2 (fma.f64 x x -1))
(log.f64 (*.f64 (exp.f64 (/.f64 -1 (+.f64 x -1))) (exp.f64 (/.f64 1 (+.f64 1 x)))))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -1 (+.f64 x -1)))
(/.f64 -2 (fma.f64 x x -1))
(log.f64 (*.f64 (exp.f64 (/.f64 -1 (+.f64 x -1))) (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 x))))))
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(/.f64 -2 (fma.f64 x x -1))
(log.f64 (*.f64 (pow.f64 (E.f64) (/.f64 -1 (+.f64 x -1))) (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 x))))))
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(/.f64 -2 (fma.f64 x x -1))
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(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -1 (+.f64 x -1)))
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(/.f64 -2 (fma.f64 x x -1))
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(/.f64 -2 (fma.f64 x x -1))
(fma.f64 1 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -1 (+.f64 x -1)))
(/.f64 -2 (fma.f64 x x -1))
(fma.f64 1 (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 -1 (+.f64 x -1)) 1))
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(/.f64 -2 (fma.f64 x x -1))
(fma.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))) (fma.f64 (/.f64 -1 (+.f64 x -1)) 1 (/.f64 1 (+.f64 x -1))))
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(fma.f64 1 (/.f64 -1 (+.f64 x -1)) (/.f64 1 (+.f64 1 x)))
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(/.f64 -2 (fma.f64 x x -1))
(fma.f64 (/.f64 1 (+.f64 1 x)) 1 (/.f64 -1 (+.f64 x -1)))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -1 (+.f64 x -1)))
(/.f64 -2 (fma.f64 x x -1))
(fma.f64 (/.f64 1 (+.f64 1 x)) 1 (*.f64 (/.f64 -1 (+.f64 x -1)) 1))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -1 (+.f64 x -1)))
(/.f64 -2 (fma.f64 x x -1))
(fma.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))) 1 (fma.f64 (/.f64 -1 (+.f64 x -1)) 1 (/.f64 1 (+.f64 x -1))))
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(/.f64 -2 (fma.f64 x x -1))
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(/.f64 -2 (fma.f64 x x -1))
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(+.f64 (+.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 1 (+.f64 x -1))) (fma.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x) (/.f64 -1 (+.f64 x -1))))
(+.f64 (*.f64 (/.f64 -1 (+.f64 x -1)) 0) (fma.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x) (/.f64 -1 (+.f64 x -1))))
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 (-.f64 (fma.f64 x x 1) x) (+.f64 1 (pow.f64 x 3))))
(+.f64 0 (/.f64 1 (+.f64 x -1)))
(/.f64 1 (+.f64 x -1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1)))) 1)
(/.f64 1 (+.f64 x -1))
(*.f64 1 (/.f64 1 (+.f64 x -1)))
(/.f64 1 (+.f64 x -1))
(*.f64 (/.f64 1 (+.f64 x -1)) 1)
(/.f64 1 (+.f64 x -1))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (cbrt.f64 (+.f64 x -1)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (cbrt.f64 (+.f64 x -1)))
(*.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2))
(/.f64 1 (+.f64 x -1))
(*.f64 -1 (/.f64 -1 (+.f64 x -1)))
(/.f64 1 (+.f64 x -1))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 1 x))
(/.f64 1 (+.f64 x -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) -2) (/.f64 1 (cbrt.f64 (+.f64 x -1))))
(/.f64 1 (+.f64 x -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -1)) (+.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 1 (+.f64 x (fma.f64 x x 1))) (+.f64 -1 (pow.f64 x 3)))
(/.f64 (+.f64 x (fma.f64 x x 1)) (+.f64 -1 (pow.f64 x 3)))
(pow.f64 (+.f64 x -1) -1)
(/.f64 1 (+.f64 x -1))
(pow.f64 (/.f64 1 (+.f64 x -1)) 1)
(/.f64 1 (+.f64 x -1))
(pow.f64 (pow.f64 (+.f64 x -1) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (+.f64 x -1) 3) -1/6) (pow.f64 (pow.f64 (+.f64 x -1) 3) -1/6))
(pow.f64 (pow.f64 (+.f64 x -1) -2) 1/2)
(/.f64 1 (+.f64 x -1))
(pow.f64 (cbrt.f64 (+.f64 x -1)) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) 3)
(/.f64 1 (+.f64 x -1))
(pow.f64 (sqrt.f64 (+.f64 x -1)) -2)
(pow.f64 (pow.f64 (+.f64 x -1) -1/2) 2)
(/.f64 1 (+.f64 x -1))
(pow.f64 (pow.f64 (+.f64 x -1) -3) 1/3)
(cbrt.f64 (pow.f64 (+.f64 x -1) -3))
(pow.f64 (neg.f64 (+.f64 (neg.f64 x) 1)) -1)
(/.f64 1 (+.f64 x -1))
(sqrt.f64 (pow.f64 (+.f64 x -1) -2))
(/.f64 1 (+.f64 x -1))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))
(/.f64 1 (+.f64 x -1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1)))))
(/.f64 1 (+.f64 x -1))
(cbrt.f64 (pow.f64 (+.f64 x -1) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))))
(/.f64 1 (+.f64 x -1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))))
(/.f64 1 (+.f64 x -1))
(exp.f64 (neg.f64 (log.f64 (+.f64 x -1))))
(/.f64 1 (+.f64 x -1))
(exp.f64 (*.f64 (log.f64 (+.f64 x -1)) -1))
(/.f64 1 (+.f64 x -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x -1))) 1))
(/.f64 1 (+.f64 x -1))

eval146.0ms (4.1%)

Compiler

Compiled 7033 to 5637 computations (19.8% saved)

prune37.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2765281
Fresh000
Picked011
Done000
Total2766282
Error
0.3b
Counts
282 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
12.3b
(/.f64 (/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (+.f64 1 x)) (+.f64 x -1))
33.9b
(/.f64 -2 (*.f64 x x))
13.2b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
30.5b
(-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 -1 x))
13.2b
(-.f64 (/.f64 1 (+.f64 x 1)) (log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1)))))
30.5b
2
Compiler

Compiled 60 to 48 computations (20% saved)

localize24.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (+.f64 x -1))
0.0b
(expm1.f64 (/.f64 1 (+.f64 x -1)))
0.0b
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))))
2.8b
(-.f64 (/.f64 1 (+.f64 x 1)) (log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1)))))
Compiler

Compiled 46 to 37 computations (19.6% saved)

series4.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(-.f64 (/.f64 1 (+.f64 x 1)) (log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1)))))
1.0ms
x
@inf
(expm1.f64 (/.f64 1 (+.f64 x -1)))
0.0ms
x
@0
(expm1.f64 (/.f64 1 (+.f64 x -1)))
0.0ms
x
@0
(-.f64 (/.f64 1 (+.f64 x 1)) (log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1)))))
0.0ms
x
@-inf
(expm1.f64 (/.f64 1 (+.f64 x -1)))

rewrite75.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
759×prod-diff_binary64
466×log-prod_binary64
330×fma-def_binary64
272×pow2_binary64
232×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01139
122839
2317139
Stop Event
node limit
Counts
4 → 231
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (+.f64 x 1)) (log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))))
(expm1.f64 (/.f64 1 (+.f64 x -1)))
(/.f64 1 (+.f64 x -1))
Outputs
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simplify113.0ms (3.2%)

Algorithm
egg-herbie
Rules
543×fma-neg_binary64
415×unswap-sqr_binary64
342×cancel-sign-sub-inv_binary64
239×fma-def_binary64
235×unsub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04967103
112516175
241235483
Stop Event
node limit
Counts
279 → 385
Calls
Call 1
Inputs
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(/.f64 -2 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -2 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(-.f64 (exp.f64 -1) 1)
(-.f64 (+.f64 (exp.f64 -1) (*.f64 -1 (*.f64 (exp.f64 -1) x))) 1)
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 -1) (pow.f64 x 2))) (+.f64 (exp.f64 -1) (*.f64 -1 (*.f64 (exp.f64 -1) x)))) 1)
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (exp.f64 -1) (pow.f64 x 2))) (+.f64 (exp.f64 -1) (+.f64 (*.f64 -1 (*.f64 (exp.f64 -1) x)) (*.f64 -1/6 (*.f64 (exp.f64 -1) (pow.f64 x 3)))))) 1)
(/.f64 1 x)
(+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (*.f64 13/6 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(+.f64 (*.f64 73/24 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 13/6 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (*.f64 13/6 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(+.f64 (*.f64 73/24 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 13/6 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 1 (-.f64 1 x)) 1))
(+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (-.f64 1 x))) (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (+.f64 x -1))))
(+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (-.f64 1 x))) (fma.f64 (neg.f64 (/.f64 -1 (cbrt.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1))))
(+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (-.f64 1 x))) (+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (+.f64 x -1))))
(+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (-.f64 1 x))) (fma.f64 -1 (/.f64 1 (+.f64 x -1)) (/.f64 1 (+.f64 x -1))))
(+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2))) (/.f64 -1 (cbrt.f64 (-.f64 1 x))) (/.f64 1 (+.f64 x -1))))
(+.f64 0 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (-.f64 1 x))))
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (+.f64 1 x)))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (*.f64 (/.f64 1 (-.f64 1 x)) -1))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 1 x))) -1 (*.f64 (/.f64 1 (-.f64 1 x)) -1)))
(+.f64 (fma.f64 (/.f64 1 (+.f64 1 x)) 1 (neg.f64 (*.f64 (/.f64 1 (-.f64 1 x)) -1))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 1 x))) -1 (*.f64 (/.f64 1 (-.f64 1 x)) -1)))
(+.f64 (fma.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 x))) (neg.f64 (*.f64 (/.f64 1 (-.f64 1 x)) -1))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 1 x))) -1 (*.f64 (/.f64 1 (-.f64 1 x)) -1)))
(+.f64 (fma.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (neg.f64 (*.f64 (/.f64 1 (-.f64 1 x)) -1))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 1 x))) -1 (*.f64 (/.f64 1 (-.f64 1 x)) -1)))
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(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))) 1))
(fma.f64 1 (/.f64 1 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))
(fma.f64 1 (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 1 (-.f64 1 x)) 1))
(fma.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (-.f64 1 x))) (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (+.f64 x -1))))
(fma.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (-.f64 1 x))) (fma.f64 (neg.f64 (/.f64 -1 (cbrt.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1))))
(fma.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (-.f64 1 x))) (+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (+.f64 x -1))))
(fma.f64 1 (/.f64 1 (-.f64 1 x)) (/.f64 1 (+.f64 1 x)))
(fma.f64 (/.f64 1 (+.f64 1 x)) 1 (/.f64 1 (-.f64 1 x)))
(fma.f64 (/.f64 1 (+.f64 1 x)) 1 (*.f64 (/.f64 1 (-.f64 1 x)) 1))
(fma.f64 -1 (/.f64 1 (+.f64 x -1)) (/.f64 1 (+.f64 1 x)))
(fma.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 x))) (/.f64 1 (-.f64 1 x)))
(fma.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 x))) (*.f64 (/.f64 1 (-.f64 1 x)) 1))
(fma.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (-.f64 1 x))) 1 (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (+.f64 x -1))))
(fma.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (-.f64 1 x))) 1 (fma.f64 (neg.f64 (/.f64 -1 (cbrt.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1))))
(fma.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (-.f64 1 x))) 1 (+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (+.f64 x -1))))
(fma.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))) 2) (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (+.f64 x -1))))
(fma.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))) 2) (fma.f64 (neg.f64 (/.f64 -1 (cbrt.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1))))
(fma.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))) 2) (+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (+.f64 x -1))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))) (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (+.f64 x -1))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))) (fma.f64 (neg.f64 (/.f64 -1 (cbrt.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))) (+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (+.f64 x -1))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (neg.f64 (/.f64 -1 (cbrt.f64 (-.f64 1 x)))) (/.f64 1 (+.f64 1 x)))
(fma.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (-.f64 1 x)))
(fma.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (*.f64 (/.f64 1 (-.f64 1 x)) 1))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (/.f64 1 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (*.f64 (/.f64 1 (-.f64 1 x)) 1))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))) (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))) (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (+.f64 x -1))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))) (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))) (fma.f64 (neg.f64 (/.f64 -1 (cbrt.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))) (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))) (+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (+.f64 x -1))))
(fma.f64 (pow.f64 (+.f64 x -1) -1/2) (neg.f64 (pow.f64 (+.f64 x -1) -1/2)) (/.f64 1 (+.f64 1 x)))
(fma.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2) (/.f64 1 (-.f64 1 x)))
(fma.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2) (*.f64 (/.f64 1 (-.f64 1 x)) 1))
(fma.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 1 (fma.f64 x x -1))))) (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (+.f64 x -1))))
(fma.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 1 (fma.f64 x x -1))))) (fma.f64 (neg.f64 (/.f64 -1 (cbrt.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1))))
(fma.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 1 (fma.f64 x x -1))))) (+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (+.f64 x -1))))
(fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x -1) (/.f64 1 (-.f64 1 x)))
(fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x -1) (*.f64 (/.f64 1 (-.f64 1 x)) 1))
(fma.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (+.f64 x -1))))
(fma.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (fma.f64 (neg.f64 (/.f64 -1 (cbrt.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1))))
(fma.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) (+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (+.f64 x -1))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 1 x))) 2) (cbrt.f64 (/.f64 1 (-.f64 1 x))) (/.f64 1 (+.f64 1 x)))
(fma.f64 (sqrt.f64 (/.f64 1 (-.f64 1 x))) (sqrt.f64 (/.f64 1 (-.f64 1 x))) (/.f64 1 (+.f64 1 x)))
(fma.f64 (neg.f64 (pow.f64 (+.f64 x -1) -1/2)) (pow.f64 (+.f64 x -1) -1/2) (/.f64 1 (+.f64 1 x)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (/.f64 1 (-.f64 1 x)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (*.f64 (/.f64 1 (-.f64 1 x)) 1))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 x -1) -1/2)) (-.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 x -1) -1/2)) (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (+.f64 x -1))))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 x -1) -1/2)) (-.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 x -1) -1/2)) (fma.f64 (neg.f64 (/.f64 -1 (cbrt.f64 (-.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1))))
(fma.f64 (+.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 x -1) -1/2)) (-.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 x -1) -1/2)) (+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (+.f64 x -1))))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2))) (/.f64 -1 (cbrt.f64 (-.f64 1 x))) (/.f64 1 (+.f64 1 x)))
(fma.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x) (/.f64 1 (-.f64 1 x)))
(fma.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x) (*.f64 (/.f64 1 (-.f64 1 x)) 1))
(+.f64 0 (/.f64 1 (+.f64 x -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))) 2) (expm1.f64 (/.f64 1 (+.f64 x -1)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1)))) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))) 2))) (log.f64 (-.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1))))))
(*.f64 1 (/.f64 1 (+.f64 x -1)))
(*.f64 -1 (/.f64 1 (-.f64 1 x)))
(*.f64 (/.f64 1 (+.f64 x -1)) 1)
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 -1 (cbrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 1 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 -1 (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (*.f64 x -1)))
(/.f64 1 (+.f64 x -1))
(/.f64 1 (neg.f64 (-.f64 1 x)))
(/.f64 -1 (-.f64 1 x))
(/.f64 (pow.f64 (+.f64 x -1) -1/2) (sqrt.f64 (+.f64 x -1)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (+.f64 x -1)))
(pow.f64 (+.f64 x -1) -1)
(pow.f64 (/.f64 1 (+.f64 x -1)) 1)
(pow.f64 (pow.f64 (+.f64 x -1) -2) 1/2)
(pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x -1) -1/2) 2)
(pow.f64 (pow.f64 (+.f64 x -1) -3) 1/3)
(pow.f64 (neg.f64 (-.f64 1 x)) -1)
(sqrt.f64 (pow.f64 (+.f64 x -1) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))
(cbrt.f64 (pow.f64 (+.f64 x -1) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))))
(exp.f64 (neg.f64 (log.f64 (+.f64 x -1))))
(exp.f64 (*.f64 (log.f64 (+.f64 x -1)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x -1))) 1))
(+.f64 (exp.f64 (/.f64 1 (+.f64 x -1))) -1)
(+.f64 0 (expm1.f64 (/.f64 1 (+.f64 x -1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (/.f64 1 (+.f64 x -1)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (/.f64 1 (+.f64 x -1)))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (/.f64 1 (+.f64 x -1)))))))
(-.f64 (exp.f64 (/.f64 1 (+.f64 x -1))) 1)
(*.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1))))
(*.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))) 1)
(*.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (+.f64 x -1)))) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (+.f64 x -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (+.f64 x -1)))) 2) (cbrt.f64 (expm1.f64 (/.f64 1 (+.f64 x -1)))))
(*.f64 (sqrt.f64 (expm1.f64 (/.f64 1 (+.f64 x -1)))) (sqrt.f64 (expm1.f64 (/.f64 1 (+.f64 x -1)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 1 (+.f64 x -1))) 3) 1) (+.f64 (pow.f64 (exp.f64 (/.f64 1 (+.f64 x -1))) 2) (+.f64 1 (*.f64 (exp.f64 (/.f64 1 (+.f64 x -1))) 1))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 1 (+.f64 x -1))) 2) 1) (+.f64 (exp.f64 (/.f64 1 (+.f64 x -1))) 1))
(pow.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))) 1)
(pow.f64 (pow.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))) 3) 1/3)
(pow.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (+.f64 x -1)))) 3)
(pow.f64 (sqrt.f64 (expm1.f64 (/.f64 1 (+.f64 x -1)))) 2)
(sqrt.f64 (pow.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))) 2))
(log.f64 (exp.f64 (expm1.f64 (/.f64 1 (+.f64 x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))))))
(cbrt.f64 (pow.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))) 3))
(log1p.f64 (expm1.f64 (expm1.f64 (/.f64 1 (+.f64 x -1)))))
(exp.f64 (log.f64 (expm1.f64 (/.f64 1 (+.f64 x -1)))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (/.f64 1 (+.f64 x -1)))) 1))
(fma.f64 1 (exp.f64 (/.f64 1 (+.f64 x -1))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1)))) 2) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1)))) -1)
(fma.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1)))) (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1)))) -1)
(+.f64 0 (/.f64 1 (+.f64 x -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))) 2) (expm1.f64 (/.f64 1 (+.f64 x -1)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1)))) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))) 2))) (log.f64 (-.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1))))))
(*.f64 1 (/.f64 1 (+.f64 x -1)))
(*.f64 -1 (/.f64 1 (-.f64 1 x)))
(*.f64 (/.f64 1 (+.f64 x -1)) 1)
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 -1 (cbrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 1 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 -1 (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (*.f64 x -1)))
(pow.f64 (+.f64 x -1) -1)
(pow.f64 (/.f64 1 (+.f64 x -1)) 1)
(pow.f64 (pow.f64 (+.f64 x -1) -2) 1/2)
(pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x -1) -1/2) 2)
(pow.f64 (pow.f64 (+.f64 x -1) -3) 1/3)
(pow.f64 (neg.f64 (-.f64 1 x)) -1)
(sqrt.f64 (pow.f64 (+.f64 x -1) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))
(cbrt.f64 (pow.f64 (+.f64 x -1) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))))
(exp.f64 (neg.f64 (log.f64 (+.f64 x -1))))
(exp.f64 (*.f64 (log.f64 (+.f64 x -1)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x -1))) 1))
Outputs
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(fma.f64 2 (*.f64 x x) 2)
(*.f64 (fma.f64 x x 1) 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))
(+.f64 (fma.f64 2 (*.f64 x x) 2) (*.f64 2 (pow.f64 x 4)))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 4) 2))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1)))) 1)
(/.f64 1 (+.f64 x -1))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))) 2))) (log.f64 (-.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1))))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))) 2))) (log1p.f64 (neg.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))))))
(*.f64 1 (/.f64 1 (+.f64 x -1)))
(/.f64 1 (+.f64 x -1))
(*.f64 -1 (/.f64 1 (-.f64 1 x)))
(/.f64 1 (+.f64 x -1))
(*.f64 (/.f64 1 (+.f64 x -1)) 1)
(/.f64 1 (+.f64 x -1))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2))) (cbrt.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 -1 (cbrt.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2))) (cbrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2))
(/.f64 1 (+.f64 x -1))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 1 x))
(*.f64 (+.f64 x 1) (/.f64 1 (fma.f64 x x -1)))
(/.f64 (+.f64 x 1) (fma.f64 x x -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 -1 (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)))
(/.f64 (/.f64 -1 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (*.f64 x -1)))
(*.f64 (-.f64 (fma.f64 x x 1) (neg.f64 x)) (/.f64 1 (+.f64 -1 (pow.f64 x 3))))
(/.f64 (+.f64 x (fma.f64 x x 1)) (+.f64 -1 (pow.f64 x 3)))
(pow.f64 (+.f64 x -1) -1)
(/.f64 1 (+.f64 x -1))
(pow.f64 (/.f64 1 (+.f64 x -1)) 1)
(/.f64 1 (+.f64 x -1))
(pow.f64 (pow.f64 (+.f64 x -1) -2) 1/2)
(/.f64 1 (+.f64 x -1))
(pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 1 x))) 3)
(/.f64 1 (+.f64 x -1))
(pow.f64 (pow.f64 (+.f64 x -1) -1/2) 2)
(/.f64 1 (+.f64 x -1))
(pow.f64 (pow.f64 (+.f64 x -1) -3) 1/3)
(cbrt.f64 (pow.f64 (+.f64 x -1) -3))
(pow.f64 (neg.f64 (-.f64 1 x)) -1)
(/.f64 1 (+.f64 x -1))
(sqrt.f64 (pow.f64 (+.f64 x -1) -2))
(/.f64 1 (+.f64 x -1))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))
(/.f64 1 (+.f64 x -1))
(cbrt.f64 (pow.f64 (+.f64 x -1) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))))
(/.f64 1 (+.f64 x -1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))))
(/.f64 1 (+.f64 x -1))
(exp.f64 (neg.f64 (log.f64 (+.f64 x -1))))
(/.f64 1 (+.f64 x -1))
(exp.f64 (*.f64 (log.f64 (+.f64 x -1)) -1))
(/.f64 1 (+.f64 x -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x -1))) 1))
(/.f64 1 (+.f64 x -1))

localize9.0ms (0.3%)

Compiler

Compiled 24 to 18 computations (25% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.4b
(/.f64 -2 (*.f64 x x))
Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 -2 (*.f64 x x))
0.0ms
x
@inf
(/.f64 -2 (*.f64 x x))
0.0ms
x
@-inf
(/.f64 -2 (*.f64 x x))

rewrite34.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
491×pow1_binary64
480×add-sqr-sqrt_binary64
459×add-log-exp_binary64
459×log1p-expm1-u_binary64
459×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11087
212997
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(/.f64 -2 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -2 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 -2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -2) x) (/.f64 (sqrt.f64 -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2 (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (pow.f64 x -2))))))))

simplify31.0ms (0.9%)

Algorithm
egg-herbie
Rules
677×log-prod_binary64
548×distribute-rgt-in_binary64
530×distribute-lft-in_binary64
520×associate-/l*_binary64
401×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054233
1131233
2425233
32705233
Stop Event
node limit
Counts
33 → 24
Calls
Call 1
Inputs
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(-.f64 (+.f64 1 (*.f64 -2 (pow.f64 x -2))) 1)
(*.f64 -2 (pow.f64 x -2))
(*.f64 (*.f64 -2 (pow.f64 x -2)) 1)
(*.f64 1 (*.f64 -2 (pow.f64 x -2)))
(*.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 -2 (pow.f64 x -2))))
(*.f64 (/.f64 (sqrt.f64 -2) x) (/.f64 (sqrt.f64 -2) x))
(*.f64 2 (/.f64 1 (*.f64 x (neg.f64 x))))
(*.f64 (pow.f64 x -2) -2)
(*.f64 (/.f64 -2 x) (/.f64 1 x))
(pow.f64 (*.f64 -2 (pow.f64 x -2)) 1)
(pow.f64 (pow.f64 (*.f64 -2 (pow.f64 x -2)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) 3)
(pow.f64 (/.f64 (sqrt.f64 -2) x) 2)
(pow.f64 (*.f64 (*.f64 x x) -1/2) -1)
(sqrt.f64 (/.f64 4 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2)))
(cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 x -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 -2 (pow.f64 x -2))))
Outputs
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(-.f64 (+.f64 1 (*.f64 -2 (pow.f64 x -2))) 1)
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (*.f64 x x))
(*.f64 (*.f64 -2 (pow.f64 x -2)) 1)
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(*.f64 1 (*.f64 -2 (pow.f64 x -2)))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(*.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 -2 (pow.f64 x -2))))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(*.f64 (/.f64 (sqrt.f64 -2) x) (/.f64 (sqrt.f64 -2) x))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(*.f64 2 (/.f64 1 (*.f64 x (neg.f64 x))))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(*.f64 (pow.f64 x -2) -2)
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(*.f64 (/.f64 -2 x) (/.f64 1 x))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(pow.f64 (*.f64 -2 (pow.f64 x -2)) 1)
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(pow.f64 (pow.f64 (*.f64 -2 (pow.f64 x -2)) 3) 1/3)
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(pow.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) 3)
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(pow.f64 (/.f64 (sqrt.f64 -2) x) 2)
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(pow.f64 (*.f64 (*.f64 x x) -1/2) -1)
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(sqrt.f64 (/.f64 4 (pow.f64 x 4)))
(sqrt.f64 (*.f64 4 (pow.f64 x -4)))
(log.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2)))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 x -2)) 3))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 x -2))))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 x -2))))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(exp.f64 (log.f64 (*.f64 -2 (pow.f64 x -2))))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))

localize17.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

Compiled 48 to 35 computations (27.1% saved)

series3.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 -1 (+.f64 1 x))
0.0ms
x
@-inf
(/.f64 (/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (+.f64 1 x)) (+.f64 x -1))
0.0ms
x
@0
(/.f64 (/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (+.f64 1 x)) (+.f64 x -1))
0.0ms
x
@inf
(/.f64 (/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (+.f64 1 x)) (+.f64 x -1))
0.0ms
x
@inf
(-.f64 -1 (+.f64 1 x))

rewrite70.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
596×log-prod_binary64
495×fma-def_binary64
291×log-div_binary64
277×fma-neg_binary64
223×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01030
124230
2397225
Stop Event
node limit
Counts
3 → 203
Calls
Call 1
Inputs
(+.f64 x (-.f64 -1 (+.f64 1 x)))
(/.f64 (/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (+.f64 1 x)) (+.f64 x -1))
(-.f64 -1 (+.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x -1) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -2 (-.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 x -1) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (-.f64 -2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 x -2) x)) (/.f64 (pow.f64 (-.f64 -2 x) 2) (+.f64 (-.f64 x -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 x -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x -2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (-.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (-.f64 -2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) (cbrt.f64 (pow.f64 (+.f64 x (-.f64 -2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x 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(+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)) -1)))))

simplify72.0ms (2%)

Algorithm
egg-herbie
Rules
373×unswap-sqr_binary64
317×cancel-sign-sub-inv_binary64
283×fma-neg_binary64
189×div-sub_binary64
187×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04862654
112982456
239452298
Stop Event
node limit
Counts
239 → 292
Calls
Call 1
Inputs
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(/.f64 -2 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -2 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
-2
(-.f64 (*.f64 -1 x) 2)
(-.f64 (*.f64 -1 x) 2)
(-.f64 (*.f64 -1 x) 2)
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) 2)
(-.f64 (*.f64 -1 x) 2)
(-.f64 (*.f64 -1 x) 2)
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) 2)
(-.f64 (*.f64 -1 x) 2)
(-.f64 (*.f64 -1 x) 2)
(-.f64 -1 (-.f64 (+.f64 x 1) x))
(-.f64 (+.f64 x -1) (+.f64 x 1))
(-.f64 -2 (-.f64 x x))
(-.f64 (-.f64 (+.f64 x -1) 1) x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (-.f64 -2 x)))) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 x -2) x)) (/.f64 (pow.f64 (-.f64 -2 x) 2) (+.f64 (-.f64 x -2) x)))
(-.f64 (-.f64 (+.f64 x -1) x) 1)
(-.f64 (+.f64 x -2) x)
(*.f64 1 (+.f64 x (-.f64 -2 x)))
(*.f64 (+.f64 x (-.f64 -2 x)) 1)
(*.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) (cbrt.f64 (pow.f64 (+.f64 x (-.f64 -2 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (-.f64 -2 x)) 2)) (cbrt.f64 (+.f64 x (-.f64 -2 x))))
(*.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) (sqrt.f64 (+.f64 x (-.f64 -2 x))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3)) (/.f64 1 (fma.f64 (-.f64 -2 x) (-.f64 (-.f64 -2 x) x) (*.f64 x x))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -2 x) 2)) (/.f64 1 (+.f64 (-.f64 x -2) x)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x 1))) (-.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (/.f64 (fma.f64 (-.f64 -2 x) (-.f64 (-.f64 -2 x) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3))))
(/.f64 1 (/.f64 (+.f64 (-.f64 x -2) x) (-.f64 (*.f64 x x) (pow.f64 (-.f64 -2 x) 2))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3)) (fma.f64 (-.f64 -2 x) (-.f64 (-.f64 -2 x) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3)) (+.f64 (pow.f64 (-.f64 -2 x) 2) (-.f64 (*.f64 x x) (*.f64 x (-.f64 -2 x)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -2 x) 2)) (+.f64 (-.f64 x -2) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3))) (neg.f64 (fma.f64 (-.f64 -2 x) (-.f64 (-.f64 -2 x) x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -2 x) 2))) (neg.f64 (+.f64 (-.f64 x -2) x)))
(/.f64 (-.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1) 1)) (*.f64 (-.f64 (fma.f64 x x 1) (*.f64 x -1)) (+.f64 1 (pow.f64 x 3)))) (*.f64 (-.f64 (fma.f64 x x 1) (*.f64 x -1)) (fma.f64 x (+.f64 x -1) 1)))
(/.f64 (-.f64 (*.f64 (fma.f64 x x -1) (fma.f64 x (+.f64 x -1) 1)) (*.f64 (+.f64 x 1) (+.f64 1 (pow.f64 x 3)))) (*.f64 (+.f64 x 1) (fma.f64 x (+.f64 x -1) 1)))
(/.f64 (-.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (-.f64 1 x)) (*.f64 (-.f64 (fma.f64 x x 1) (*.f64 x -1)) (-.f64 1 (*.f64 x x)))) (*.f64 (-.f64 (fma.f64 x x 1) (*.f64 x -1)) (-.f64 1 x)))
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(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2))) (neg.f64 x))
(/.f64 (-.f64 -8 (pow.f64 x 3)) (+.f64 4 (fma.f64 x x (*.f64 -2 x))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x -1 -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 x -1 -1) (fma.f64 x -1 -1)) (*.f64 -1 (fma.f64 x -1 -1)))))
(/.f64 (-.f64 4 (*.f64 x x)) (+.f64 -2 x))
(/.f64 (-.f64 1 (*.f64 (fma.f64 x -1 -1) (fma.f64 x -1 -1))) (-.f64 -1 (fma.f64 x -1 -1)))
(pow.f64 (-.f64 -2 x) 1)
(pow.f64 (cbrt.f64 (-.f64 -2 x)) 3)
(pow.f64 (sqrt.f64 (-.f64 -2 x)) 2)
(pow.f64 (pow.f64 (-.f64 -2 x) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 (+.f64 x 1) x 1) (-.f64 -1 (pow.f64 (+.f64 x 1) 3))) -1)
(pow.f64 (/.f64 x (-.f64 1 (pow.f64 (+.f64 x 1) 2))) -1)
(sqrt.f64 (pow.f64 (-.f64 -2 x) 2))
(log.f64 (exp.f64 (-.f64 -2 x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 -2 x))))
(cbrt.f64 (pow.f64 (-.f64 -2 x) 3))
(expm1.f64 (log1p.f64 (-.f64 -2 x)))
(log1p.f64 (expm1.f64 (-.f64 -2 x)))
(exp.f64 (log.f64 (-.f64 -2 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 -2 x)) 1))
(fma.f64 -1 (+.f64 x 1) -1)
(fma.f64 1 (fma.f64 x -1 -1) -1)
(fma.f64 (+.f64 x 1) -1 -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (neg.f64 (cbrt.f64 (+.f64 x 1))) -1)
(fma.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x -1 -1)) (cbrt.f64 (fma.f64 x -1 -1))) (cbrt.f64 (fma.f64 x -1 -1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 x -1 -1)) (sqrt.f64 (fma.f64 x -1 -1)) -1)
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)) -1)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 x 1)) -1)
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 x 1)) -1)
(fma.f64 (*.f64 -1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)) -1)
Outputs
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(fma.f64 2 (*.f64 x x) 2)
(*.f64 (fma.f64 x x 1) 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))
(+.f64 (fma.f64 2 (*.f64 x x) 2) (*.f64 2 (pow.f64 x 4)))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 4) 2))
(*.f64 2 (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (fma.f64 2 (pow.f64 x 4) 2)))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(-.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6)))
(+.f64 (-.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 8)) (/.f64 2 (pow.f64 x 6))) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 8)) (/.f64 -2 (pow.f64 x 6))) (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (+.f64 (/.f64 -2 (pow.f64 x 8)) (/.f64 -2 (pow.f64 x 6))))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(-.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6)))
(+.f64 (-.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 8)) (/.f64 2 (pow.f64 x 6))) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 8)) (/.f64 -2 (pow.f64 x 6))) (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (+.f64 (/.f64 -2 (pow.f64 x 8)) (/.f64 -2 (pow.f64 x 6))))
-2
(-.f64 (*.f64 -1 x) 2)
(-.f64 -2 x)
(-.f64 (*.f64 -1 x) 2)
(-.f64 -2 x)
(-.f64 (*.f64 -1 x) 2)
(-.f64 -2 x)
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) 2)
(-.f64 -2 x)
(-.f64 (*.f64 -1 x) 2)
(-.f64 -2 x)
(-.f64 (*.f64 -1 x) 2)
(-.f64 -2 x)
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) 2)
(-.f64 -2 x)
(-.f64 (*.f64 -1 x) 2)
(-.f64 -2 x)
(-.f64 (*.f64 -1 x) 2)
(-.f64 -2 x)
(-.f64 -1 (-.f64 (+.f64 x 1) x))
-2
(-.f64 (+.f64 x -1) (+.f64 x 1))
-2
(-.f64 -2 (-.f64 x x))
-2
(-.f64 (-.f64 (+.f64 x -1) 1) x)
-2
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (-.f64 -2 x)))) 1)
-2
(-.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 x -2) x)) (/.f64 (pow.f64 (-.f64 -2 x) 2) (+.f64 (-.f64 x -2) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -2 x) 2)) (+.f64 x (+.f64 x 2)))
(/.f64 (*.f64 -2 (+.f64 x (+.f64 2 x))) (+.f64 x (+.f64 2 x)))
(/.f64 (*.f64 -2 (fma.f64 2 x 2)) (fma.f64 2 x 2))
(-.f64 (-.f64 (+.f64 x -1) x) 1)
-2
(-.f64 (+.f64 x -2) x)
-2
(*.f64 1 (+.f64 x (-.f64 -2 x)))
-2
(*.f64 (+.f64 x (-.f64 -2 x)) 1)
-2
(*.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) (cbrt.f64 (pow.f64 (+.f64 x (-.f64 -2 x)) 2)))
(*.f64 (cbrt.f64 -2) (cbrt.f64 4))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (-.f64 -2 x)) 2)) (cbrt.f64 (+.f64 x (-.f64 -2 x))))
(*.f64 (cbrt.f64 -2) (cbrt.f64 4))
(*.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) (sqrt.f64 (+.f64 x (-.f64 -2 x))))
-2
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3)) (/.f64 1 (fma.f64 (-.f64 -2 x) (-.f64 (-.f64 -2 x) x) (*.f64 x x))))
(/.f64 1 (/.f64 (fma.f64 (-.f64 -2 x) (-.f64 (-.f64 -2 x) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3)) (fma.f64 (-.f64 -2 x) (-.f64 (-.f64 -2 x) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3)) (fma.f64 x (fma.f64 2 x 2) (pow.f64 (-.f64 -2 x) 2)))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -2 x) 2)) (/.f64 1 (+.f64 (-.f64 x -2) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -2 x) 2)) (+.f64 x (+.f64 x 2)))
(/.f64 (*.f64 -2 (+.f64 x (+.f64 2 x))) (+.f64 x (+.f64 2 x)))
(/.f64 (*.f64 -2 (fma.f64 2 x 2)) (fma.f64 2 x 2))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x 1))) (-.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (/.f64 (fma.f64 (-.f64 -2 x) (-.f64 (-.f64 -2 x) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3)) (fma.f64 (-.f64 -2 x) (-.f64 (-.f64 -2 x) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3)) (fma.f64 x (fma.f64 2 x 2) (pow.f64 (-.f64 -2 x) 2)))
(/.f64 1 (/.f64 (+.f64 (-.f64 x -2) x) (-.f64 (*.f64 x x) (pow.f64 (-.f64 -2 x) 2))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -2 x) 2)) (+.f64 x (+.f64 x 2)))
(/.f64 (*.f64 -2 (+.f64 x (+.f64 2 x))) (+.f64 x (+.f64 2 x)))
(/.f64 (*.f64 -2 (fma.f64 2 x 2)) (fma.f64 2 x 2))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3)) (fma.f64 (-.f64 -2 x) (-.f64 (-.f64 -2 x) x) (*.f64 x x)))
(/.f64 1 (/.f64 (fma.f64 (-.f64 -2 x) (-.f64 (-.f64 -2 x) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3)) (fma.f64 x (fma.f64 2 x 2) (pow.f64 (-.f64 -2 x) 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3)) (+.f64 (pow.f64 (-.f64 -2 x) 2) (-.f64 (*.f64 x x) (*.f64 x (-.f64 -2 x)))))
(/.f64 1 (/.f64 (fma.f64 (-.f64 -2 x) (-.f64 (-.f64 -2 x) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3)) (fma.f64 (-.f64 -2 x) (-.f64 (-.f64 -2 x) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3)) (fma.f64 x (fma.f64 2 x 2) (pow.f64 (-.f64 -2 x) 2)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -2 x) 2)) (+.f64 (-.f64 x -2) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -2 x) 2)) (+.f64 x (+.f64 x 2)))
(/.f64 (*.f64 -2 (+.f64 x (+.f64 2 x))) (+.f64 x (+.f64 2 x)))
(/.f64 (*.f64 -2 (fma.f64 2 x 2)) (fma.f64 2 x 2))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3))) (neg.f64 (fma.f64 (-.f64 -2 x) (-.f64 (-.f64 -2 x) x) (*.f64 x x))))
(/.f64 1 (/.f64 (fma.f64 (-.f64 -2 x) (-.f64 (-.f64 -2 x) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3)) (fma.f64 (-.f64 -2 x) (-.f64 (-.f64 -2 x) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3)) (fma.f64 x (fma.f64 2 x 2) (pow.f64 (-.f64 -2 x) 2)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -2 x) 2))) (neg.f64 (+.f64 (-.f64 x -2) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -2 x) 2)) (+.f64 x (+.f64 x 2)))
(/.f64 (*.f64 -2 (+.f64 x (+.f64 2 x))) (+.f64 x (+.f64 2 x)))
(/.f64 (*.f64 -2 (fma.f64 2 x 2)) (fma.f64 2 x 2))
(/.f64 (-.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1) 1)) (*.f64 (-.f64 (fma.f64 x x 1) (*.f64 x -1)) (+.f64 1 (pow.f64 x 3)))) (*.f64 (-.f64 (fma.f64 x x 1) (*.f64 x -1)) (fma.f64 x (+.f64 x -1) 1)))
(/.f64 (-.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1) 1)) (*.f64 (-.f64 (fma.f64 x x 1) (neg.f64 x)) (+.f64 1 (pow.f64 x 3)))) (*.f64 (fma.f64 x (+.f64 x -1) 1) (-.f64 (fma.f64 x x 1) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1) 1)) (*.f64 (+.f64 x (fma.f64 x x 1)) (+.f64 1 (pow.f64 x 3)))) (*.f64 (fma.f64 x (+.f64 x -1) 1) (+.f64 x (fma.f64 x x 1))))
(fma.f64 1 (/.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 x (fma.f64 x x 1))) (*.f64 -1 (/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1) 1))))
(/.f64 (-.f64 (*.f64 (fma.f64 x x -1) (fma.f64 x (+.f64 x -1) 1)) (*.f64 (+.f64 x 1) (+.f64 1 (pow.f64 x 3)))) (*.f64 (+.f64 x 1) (fma.f64 x (+.f64 x -1) 1)))
(/.f64 (-.f64 (*.f64 (fma.f64 x (+.f64 x -1) 1) (fma.f64 x x -1)) (*.f64 (+.f64 x 1) (+.f64 1 (pow.f64 x 3)))) (*.f64 (+.f64 x 1) (fma.f64 x (+.f64 x -1) 1)))
(/.f64 (fma.f64 (fma.f64 x (+.f64 x -1) 1) (fma.f64 x x -1) (*.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 -1 x))) (*.f64 (+.f64 x 1) (fma.f64 x (+.f64 x -1) 1)))
(fma.f64 1 (/.f64 (fma.f64 x x -1) (+.f64 x 1)) (*.f64 -1 (/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (-.f64 1 x)) (*.f64 (-.f64 (fma.f64 x x 1) (*.f64 x -1)) (-.f64 1 (*.f64 x x)))) (*.f64 (-.f64 (fma.f64 x x 1) (*.f64 x -1)) (-.f64 1 x)))
(/.f64 (-.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (-.f64 1 x)) (*.f64 (-.f64 (fma.f64 x x 1) (neg.f64 x)) (-.f64 1 (*.f64 x x)))) (*.f64 (-.f64 (fma.f64 x x 1) (neg.f64 x)) (-.f64 1 x)))
(/.f64 (-.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (-.f64 1 x)) (*.f64 (+.f64 x (fma.f64 x x 1)) (-.f64 1 (*.f64 x x)))) (*.f64 (+.f64 x (fma.f64 x x 1)) (-.f64 1 x)))
(fma.f64 1 (/.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 x (fma.f64 x x 1))) (*.f64 -1 (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 (fma.f64 x x -1) (-.f64 1 x)) (*.f64 (+.f64 x 1) (-.f64 1 (*.f64 x x)))) (*.f64 (+.f64 x 1) (-.f64 1 x)))
(/.f64 (fma.f64 (fma.f64 x x -1) (-.f64 1 x) (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 -1 x))) (*.f64 (+.f64 x 1) (-.f64 1 x)))
(fma.f64 1 (/.f64 (fma.f64 x x -1) (+.f64 x 1)) (*.f64 -1 (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 x 1) 3)) (+.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 (pow.f64 (+.f64 x 1) 2) (fma.f64 x x -1))))
(/.f64 (-.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 x 1) 3)) (+.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 (fma.f64 x x -1) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 x 1) 3)) (+.f64 (fma.f64 x x -1) (+.f64 (pow.f64 (+.f64 x -1) 2) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (-.f64 -1 x) 3)) (+.f64 (fma.f64 x x -1) (+.f64 (pow.f64 (+.f64 x -1) 2) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 x -1) 2) (pow.f64 (+.f64 x 1) 2)) (+.f64 (+.f64 x -1) (+.f64 x 1)))
(/.f64 (-.f64 (pow.f64 (+.f64 x -1) 2) (pow.f64 (+.f64 x 1) 2)) (+.f64 (+.f64 x 1) (+.f64 x -1)))
(/.f64 (*.f64 (+.f64 x (+.f64 0 x)) -2) (+.f64 x (+.f64 0 x)))
(/.f64 (*.f64 (+.f64 x x) -2) (+.f64 x x))
(/.f64 (-.f64 (pow.f64 (-.f64 -2 x) 2) (*.f64 x x)) (-.f64 (-.f64 -2 x) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -2 x) 2)) (+.f64 x (+.f64 x 2)))
(/.f64 (*.f64 -2 (+.f64 x (+.f64 2 x))) (+.f64 x (+.f64 2 x)))
(/.f64 (*.f64 -2 (fma.f64 2 x 2)) (fma.f64 2 x 2))
(pow.f64 (+.f64 x (-.f64 -2 x)) 1)
-2
(pow.f64 (pow.f64 (+.f64 x (-.f64 -2 x)) 3) 1/3)
-2
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) 3)
-2
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) 2)
-2
(pow.f64 (/.f64 (fma.f64 (-.f64 -2 x) (-.f64 (-.f64 -2 x) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3))) -1)
(/.f64 1 (/.f64 (fma.f64 (-.f64 -2 x) (-.f64 (-.f64 -2 x) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3)) (fma.f64 (-.f64 -2 x) (-.f64 (-.f64 -2 x) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3)) (fma.f64 x (fma.f64 2 x 2) (pow.f64 (-.f64 -2 x) 2)))
(pow.f64 (/.f64 (+.f64 (-.f64 x -2) x) (-.f64 (*.f64 x x) (pow.f64 (-.f64 -2 x) 2))) -1)
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -2 x) 2)) (+.f64 x (+.f64 x 2)))
(/.f64 (*.f64 -2 (+.f64 x (+.f64 2 x))) (+.f64 x (+.f64 2 x)))
(/.f64 (*.f64 -2 (fma.f64 2 x 2)) (fma.f64 2 x 2))
(sqrt.f64 (pow.f64 (+.f64 x (-.f64 -2 x)) 2))
2
(log.f64 (exp.f64 (+.f64 x (-.f64 -2 x))))
-2
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (-.f64 -2 x)))))
-2
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (+.f64 x -1))) (exp.f64 (+.f64 x 1))))
-2
(log.f64 (/.f64 (exp.f64 (+.f64 x -1)) (+.f64 1 (expm1.f64 (+.f64 x 1)))))
-2
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (+.f64 x -1))) (+.f64 1 (expm1.f64 (+.f64 x 1)))))
-2
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (-.f64 -2 x))))
-2
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (-.f64 -2 x)))))
-2
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (-.f64 -2 x)))))
-2
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -2 x))) (exp.f64 x)))
-2
(log.f64 (*.f64 (exp.f64 (-.f64 -2 x)) (+.f64 1 (expm1.f64 x))))
-2
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -2 x))) (+.f64 1 (expm1.f64 x))))
-2
(log.f64 (*.f64 (exp.f64 (+.f64 x -1)) (exp.f64 (fma.f64 x -1 -1))))
-2
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x -1))) (exp.f64 (fma.f64 x -1 -1))))
-2
(log.f64 (*.f64 (exp.f64 (+.f64 x -1)) (/.f64 1 (exp.f64 (+.f64 x 1)))))
-2
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x -1))) (/.f64 1 (exp.f64 (+.f64 x 1)))))
-2
(cbrt.f64 (pow.f64 (+.f64 x (-.f64 -2 x)) 3))
-2
(expm1.f64 (log1p.f64 (+.f64 x (-.f64 -2 x))))
-2
(log1p.f64 (expm1.f64 (+.f64 x (-.f64 -2 x))))
-2
(exp.f64 (log.f64 (+.f64 x (-.f64 -2 x))))
-2
(exp.f64 (*.f64 (log.f64 (+.f64 x (-.f64 -2 x))) 1))
-2
(fma.f64 x 1 (-.f64 -2 x))
-2
(fma.f64 1 x (-.f64 -2 x))
-2
(fma.f64 1 (-.f64 -2 x) x)
-2
(fma.f64 1 (+.f64 x (-.f64 -2 x)) (fma.f64 (fma.f64 x -1 -1) 1 (+.f64 x 1)))
-2
(fma.f64 1 (+.f64 x (-.f64 -2 x)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1)))
-2
(fma.f64 1 (+.f64 x (-.f64 -2 x)) (+.f64 (fma.f64 x -1 -1) (+.f64 x 1)))
-2
(fma.f64 1 (+.f64 x -1) (fma.f64 x -1 -1))
-2
(fma.f64 (-.f64 -2 x) 1 x)
-2
(fma.f64 (+.f64 x (-.f64 -2 x)) 1 (fma.f64 (fma.f64 x -1 -1) 1 (+.f64 x 1)))
-2
(fma.f64 (+.f64 x (-.f64 -2 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1)))
-2
(fma.f64 (+.f64 x (-.f64 -2 x)) 1 (+.f64 (fma.f64 x -1 -1) (+.f64 x 1)))
-2
(fma.f64 (+.f64 x -1) 1 (fma.f64 x -1 -1))
-2
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (-.f64 -2 x))
-2
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 -2 x))
-2
(fma.f64 (cbrt.f64 (+.f64 x -1)) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (fma.f64 x -1 -1))
-2
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (cbrt.f64 (+.f64 x -1)) (fma.f64 x -1 -1))
-2
(fma.f64 (cbrt.f64 (-.f64 -2 x)) (pow.f64 (cbrt.f64 (-.f64 -2 x)) 2) x)
-2
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -2 x)) 2) (cbrt.f64 (-.f64 -2 x)) x)
-2
(fma.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) (cbrt.f64 (pow.f64 (+.f64 x (-.f64 -2 x)) 2)) (fma.f64 (fma.f64 x -1 -1) 1 (+.f64 x 1)))
(*.f64 (cbrt.f64 -2) (cbrt.f64 4))
(fma.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) (cbrt.f64 (pow.f64 (+.f64 x (-.f64 -2 x)) 2)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1)))
(*.f64 (cbrt.f64 -2) (cbrt.f64 4))
(fma.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) (cbrt.f64 (pow.f64 (+.f64 x (-.f64 -2 x)) 2)) (+.f64 (fma.f64 x -1 -1) (+.f64 x 1)))
(*.f64 (cbrt.f64 -2) (cbrt.f64 4))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x (-.f64 -2 x)) 2)) (cbrt.f64 (+.f64 x (-.f64 -2 x))) (fma.f64 (fma.f64 x -1 -1) 1 (+.f64 x 1)))
(*.f64 (cbrt.f64 -2) (cbrt.f64 4))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x (-.f64 -2 x)) 2)) (cbrt.f64 (+.f64 x (-.f64 -2 x))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1)))
(*.f64 (cbrt.f64 -2) (cbrt.f64 4))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x (-.f64 -2 x)) 2)) (cbrt.f64 (+.f64 x (-.f64 -2 x))) (+.f64 (fma.f64 x -1 -1) (+.f64 x 1)))
(*.f64 (cbrt.f64 -2) (cbrt.f64 4))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 -2 x))
-2
(fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)) (fma.f64 x -1 -1))
-2
(fma.f64 (sqrt.f64 (-.f64 -2 x)) (sqrt.f64 (-.f64 -2 x)) x)
-2
(fma.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) (sqrt.f64 (+.f64 x (-.f64 -2 x))) (fma.f64 (fma.f64 x -1 -1) 1 (+.f64 x 1)))
-2
(fma.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) (sqrt.f64 (+.f64 x (-.f64 -2 x))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1)))
-2
(fma.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) (sqrt.f64 (+.f64 x (-.f64 -2 x))) (+.f64 (fma.f64 x -1 -1) (+.f64 x 1)))
-2
(fma.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (fma.f64 (+.f64 x 1) x 1)) x)
(+.f64 x (/.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3)) (fma.f64 (+.f64 x 1) x 1)))
(fma.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) (*.f64 x -1))) (fma.f64 x -1 -1))
(fma.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) (neg.f64 x))) (fma.f64 x -1 -1))
(fma.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 1 (+.f64 x (fma.f64 x x 1))) (-.f64 -1 x))
(+.f64 (-.f64 -1 x) (/.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 x (fma.f64 x x 1))))
(fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3)) (/.f64 1 (fma.f64 (-.f64 -2 x) (-.f64 (-.f64 -2 x) x) (*.f64 x x))) (fma.f64 (fma.f64 x -1 -1) 1 (+.f64 x 1)))
(/.f64 1 (/.f64 (fma.f64 (-.f64 -2 x) (-.f64 (-.f64 -2 x) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3)) (fma.f64 (-.f64 -2 x) (-.f64 (-.f64 -2 x) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3)) (fma.f64 x (fma.f64 2 x 2) (pow.f64 (-.f64 -2 x) 2)))
(fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3)) (/.f64 1 (fma.f64 (-.f64 -2 x) (-.f64 (-.f64 -2 x) x) (*.f64 x x))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1)))
(/.f64 1 (/.f64 (fma.f64 (-.f64 -2 x) (-.f64 (-.f64 -2 x) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3)) (fma.f64 (-.f64 -2 x) (-.f64 (-.f64 -2 x) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3)) (fma.f64 x (fma.f64 2 x 2) (pow.f64 (-.f64 -2 x) 2)))
(fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3)) (/.f64 1 (fma.f64 (-.f64 -2 x) (-.f64 (-.f64 -2 x) x) (*.f64 x x))) (+.f64 (fma.f64 x -1 -1) (+.f64 x 1)))
(/.f64 1 (/.f64 (fma.f64 (-.f64 -2 x) (-.f64 (-.f64 -2 x) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3)) (fma.f64 (-.f64 -2 x) (-.f64 (-.f64 -2 x) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3)) (fma.f64 x (fma.f64 2 x 2) (pow.f64 (-.f64 -2 x) 2)))
(fma.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (pow.f64 x -1) x)
(fma.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (/.f64 1 x) x)
(+.f64 x (/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) x))
(fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x 1)) (fma.f64 x -1 -1))
(fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x 1)) (-.f64 -1 x))
(+.f64 (-.f64 -1 x) (/.f64 (fma.f64 x x -1) (+.f64 x 1)))
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -2 x) 2)) (/.f64 1 (+.f64 (-.f64 x -2) x)) (fma.f64 (fma.f64 x -1 -1) 1 (+.f64 x 1)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -2 x) 2)) (+.f64 x (+.f64 x 2)))
(/.f64 (*.f64 -2 (+.f64 x (+.f64 2 x))) (+.f64 x (+.f64 2 x)))
(/.f64 (*.f64 -2 (fma.f64 2 x 2)) (fma.f64 2 x 2))
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -2 x) 2)) (/.f64 1 (+.f64 (-.f64 x -2) x)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -2 x) 2)) (+.f64 x (+.f64 x 2)))
(/.f64 (*.f64 -2 (+.f64 x (+.f64 2 x))) (+.f64 x (+.f64 2 x)))
(/.f64 (*.f64 -2 (fma.f64 2 x 2)) (fma.f64 2 x 2))
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -2 x) 2)) (/.f64 1 (+.f64 (-.f64 x -2) x)) (+.f64 (fma.f64 x -1 -1) (+.f64 x 1)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -2 x) 2)) (+.f64 x (+.f64 x 2)))
(/.f64 (*.f64 -2 (+.f64 x (+.f64 2 x))) (+.f64 x (+.f64 2 x)))
(/.f64 (*.f64 -2 (fma.f64 2 x 2)) (fma.f64 2 x 2))
(fma.f64 (+.f64 (sqrt.f64 x) 1) (-.f64 (sqrt.f64 x) 1) (fma.f64 x -1 -1))
-2
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x 1))) (-.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x 1))) (fma.f64 (fma.f64 x -1 -1) 1 (+.f64 x 1)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x 1))) (-.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x 1))))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x 1))) (-.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x 1))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x 1))) (-.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x 1))))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x 1))) (-.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x 1))) (+.f64 (fma.f64 x -1 -1) (+.f64 x 1)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x 1))) (-.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x 1))))
(+.f64 0 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)))
(/.f64 -2 (fma.f64 x x -1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1)))) (cbrt.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)))) 1)
(/.f64 -2 (fma.f64 x x -1))
(-.f64 (/.f64 (+.f64 x -1) (fma.f64 x x -1)) (/.f64 (+.f64 x 1) (fma.f64 x x -1)))
(+.f64 (/.f64 (+.f64 x -1) (fma.f64 x x -1)) (/.f64 (-.f64 -1 x) (fma.f64 x x -1)))
(*.f64 1 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)))
(/.f64 -2 (fma.f64 x x -1))
(*.f64 (+.f64 x (-.f64 -2 x)) (pow.f64 (fma.f64 x x -1) -1))
(/.f64 -2 (fma.f64 x x -1))
(*.f64 (+.f64 x (-.f64 -2 x)) (*.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -1 (-.f64 1 x))))
(*.f64 -2 (*.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -1 (-.f64 1 x))))
(/.f64 2 (*.f64 (+.f64 x 1) (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1)) (/.f64 -1 (-.f64 1 x)))
(*.f64 -2 (*.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -1 (-.f64 1 x))))
(/.f64 2 (*.f64 (+.f64 x 1) (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)) 1)
(/.f64 -2 (fma.f64 x x -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))) (/.f64 -1 (-.f64 1 x))))
(*.f64 -2 (*.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -1 (-.f64 1 x))))
(/.f64 2 (*.f64 (+.f64 x 1) (-.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)) 2)))
(*.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (/.f64 -2 (fma.f64 x x -1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)) 2)) (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (/.f64 -2 (fma.f64 x x -1)) 2)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))) (*.f64 (sqrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))) (/.f64 -1 (-.f64 1 x))))
(*.f64 -2 (*.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -1 (-.f64 1 x))))
(/.f64 2 (*.f64 (+.f64 x 1) (-.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1))) (sqrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1))))
(/.f64 -2 (fma.f64 x x -1))
(*.f64 (/.f64 (neg.f64 (+.f64 x (-.f64 -2 x))) (+.f64 x 1)) (/.f64 1 (-.f64 1 x)))
(*.f64 -2 (*.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -1 (-.f64 1 x))))
(/.f64 2 (*.f64 (+.f64 x 1) (-.f64 1 x)))
(*.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1)))
(*.f64 -2 (*.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -1 (-.f64 1 x))))
(/.f64 2 (*.f64 (+.f64 x 1) (-.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x (-.f64 -2 x)) 2)) (+.f64 x -1)) (/.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) (+.f64 x 1)))
(*.f64 (/.f64 (cbrt.f64 4) (+.f64 x -1)) (/.f64 (cbrt.f64 -2) (+.f64 x 1)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) (+.f64 x -1)) (/.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) (+.f64 x 1)))
(/.f64 -2 (fma.f64 x x -1))
(*.f64 (/.f64 (+.f64 x (-.f64 -2 x)) 1) (/.f64 (/.f64 1 (+.f64 x 1)) (+.f64 x -1)))
(/.f64 -2 (fma.f64 x x -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))) (+.f64 x -1)))
(/.f64 -2 (fma.f64 x x -1))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))) (+.f64 x -1)))
(/.f64 -2 (fma.f64 x x -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1)) (cbrt.f64 (+.f64 x -1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 -2 (*.f64 (cbrt.f64 (+.f64 x -1)) (+.f64 x 1))))
(/.f64 (/.f64 -2 (*.f64 (+.f64 x 1) (cbrt.f64 (+.f64 x -1)))) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2))
(*.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 (/.f64 1 (+.f64 x 1)) (cbrt.f64 (+.f64 x -1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 -2 (*.f64 (cbrt.f64 (+.f64 x -1)) (+.f64 x 1))))
(/.f64 (/.f64 -2 (*.f64 (+.f64 x 1) (cbrt.f64 (+.f64 x -1)))) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))) 2) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 x 1))) 2) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 x 1))) 2) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (cbrt.f64 (/.f64 -2 (fma.f64 x x -1)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))) (cbrt.f64 (+.f64 x -1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 -2 (*.f64 (cbrt.f64 (+.f64 x -1)) (+.f64 x 1))))
(/.f64 (/.f64 -2 (*.f64 (+.f64 x 1) (cbrt.f64 (+.f64 x -1)))) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1))) (/.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1)) (sqrt.f64 (+.f64 x -1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1))) (/.f64 -2 (*.f64 (sqrt.f64 (+.f64 x -1)) (+.f64 x 1))))
(/.f64 (/.f64 (/.f64 -2 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)))
(*.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (sqrt.f64 (+.f64 x -1))) (/.f64 (/.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1))) (/.f64 -2 (*.f64 (sqrt.f64 (+.f64 x -1)) (+.f64 x 1))))
(/.f64 (/.f64 (/.f64 -2 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))) 2) (sqrt.f64 (+.f64 x -1))) (/.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))) (sqrt.f64 (+.f64 x -1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1))) (/.f64 -2 (*.f64 (sqrt.f64 (+.f64 x -1)) (+.f64 x 1))))
(/.f64 (/.f64 (/.f64 -2 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)))
(*.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1)) (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (*.f64 x -1)))
(*.f64 (-.f64 (fma.f64 x x 1) (neg.f64 x)) (/.f64 -2 (*.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 x 1))))
(*.f64 (+.f64 x (fma.f64 x x 1)) (/.f64 (/.f64 -2 (+.f64 x 1)) (+.f64 -1 (pow.f64 x 3))))
(*.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1)) (fma.f64 x x -1)) (+.f64 x 1))
(*.f64 (+.f64 x 1) (/.f64 (/.f64 -2 (+.f64 x 1)) (fma.f64 x x -1)))
(*.f64 (+.f64 x 1) (/.f64 -2 (*.f64 (+.f64 x 1) (fma.f64 x x -1))))
(pow.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)) 1)
(/.f64 -2 (fma.f64 x x -1))
(pow.f64 (pow.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)) 3) 1/3)
(/.f64 -2 (fma.f64 x x -1))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1))) 3)
(/.f64 -2 (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1))) 2)
(/.f64 -2 (fma.f64 x x -1))
(pow.f64 (/.f64 1 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1))) -1)
(/.f64 -2 (fma.f64 x x -1))
(pow.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1)) 3) (pow.f64 (+.f64 x -1) 3)) 1/3)
(cbrt.f64 (/.f64 (/.f64 -8 (pow.f64 (+.f64 x 1) 3)) (pow.f64 (+.f64 x -1) 3)))
(cbrt.f64 (/.f64 -8 (*.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 x 1) 3))))
(pow.f64 (*.f64 (/.f64 (+.f64 x 1) (+.f64 x (-.f64 -2 x))) (+.f64 x -1)) -1)
(/.f64 -2 (fma.f64 x x -1))
(pow.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1))) 1) -1)
(/.f64 -2 (fma.f64 x x -1))
(pow.f64 (/.f64 (fma.f64 x x -1) (+.f64 x (-.f64 -2 x))) -1)
(/.f64 -2 (fma.f64 x x -1))
(neg.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1)) (-.f64 1 x)))
(*.f64 -2 (*.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -1 (-.f64 1 x))))
(/.f64 2 (*.f64 (+.f64 x 1) (-.f64 1 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)) 2))
(/.f64 -2 (fma.f64 x x -1))
(log.f64 (exp.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1))))
(/.f64 -2 (fma.f64 x x -1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)))))
(/.f64 -2 (fma.f64 x x -1))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)) 3))
(/.f64 -2 (fma.f64 x x -1))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1)) 3) (pow.f64 (+.f64 x -1) 3)))
(cbrt.f64 (/.f64 (/.f64 -8 (pow.f64 (+.f64 x 1) 3)) (pow.f64 (+.f64 x -1) 3)))
(cbrt.f64 (/.f64 -8 (*.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 x 1) 3))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1))))
(/.f64 -2 (fma.f64 x x -1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1))))
(/.f64 -2 (fma.f64 x x -1))
(exp.f64 (log.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1))))
(/.f64 -2 (fma.f64 x x -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1))) 1))
(/.f64 -2 (fma.f64 x x -1))
(+.f64 -1 (fma.f64 x -1 -1))
(-.f64 -2 x)
(+.f64 -1 (*.f64 (fma.f64 x -1 -1) 1))
(-.f64 -2 x)
(+.f64 0 (-.f64 -2 x))
(-.f64 -2 x)
(+.f64 (fma.f64 x -1 -1) -1)
(-.f64 -2 x)
(+.f64 -2 (*.f64 x -1))
(-.f64 -2 x)
(+.f64 -2 (neg.f64 x))
(-.f64 -2 x)
(+.f64 -2 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)))
(-.f64 -2 x)
(+.f64 -2 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(-.f64 -2 x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 -2 x))) (cbrt.f64 (exp.f64 (-.f64 -2 x))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 -2 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (-.f64 -2 x))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 -2 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (-.f64 -2 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 -2 x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 -2 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.f64 -2 x)))))
(*.f64 1 (-.f64 -2 x))
(-.f64 -2 x)
(*.f64 (-.f64 -2 x) 1)
(-.f64 -2 x)
(*.f64 (cbrt.f64 (-.f64 -2 x)) (pow.f64 (cbrt.f64 (-.f64 -2 x)) 2))
(-.f64 -2 x)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -2 x)) 2) (cbrt.f64 (-.f64 -2 x)))
(-.f64 -2 x)
(*.f64 (sqrt.f64 (-.f64 -2 x)) (sqrt.f64 (-.f64 -2 x)))
(-.f64 -2 x)
(*.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (fma.f64 (+.f64 x 1) x 1)))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3)) (fma.f64 (+.f64 x 1) x 1))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (pow.f64 x -1))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (/.f64 1 x))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) x)
(/.f64 1 (/.f64 (fma.f64 (+.f64 x 1) x 1) (-.f64 -1 (pow.f64 (+.f64 x 1) 3))))
(*.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (fma.f64 (+.f64 x 1) x 1)))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3)) (fma.f64 (+.f64 x 1) x 1))
(/.f64 1 (/.f64 x (-.f64 1 (pow.f64 (+.f64 x 1) 2))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (/.f64 1 x))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) x)
(/.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3)) (fma.f64 (+.f64 x 1) x 1))
(*.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (fma.f64 (+.f64 x 1) x 1)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) x)
(*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (/.f64 1 x))
(/.f64 (neg.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3))) (neg.f64 (fma.f64 (+.f64 x 1) x 1)))
(*.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (fma.f64 (+.f64 x 1) x 1)))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3)) (fma.f64 (+.f64 x 1) x 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2))) (neg.f64 x))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (/.f64 1 x))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) x)
(/.f64 (-.f64 -8 (pow.f64 x 3)) (+.f64 4 (fma.f64 x x (*.f64 -2 x))))
(/.f64 (-.f64 -8 (pow.f64 x 3)) (+.f64 4 (fma.f64 x x (*.f64 x -2))))
(/.f64 (-.f64 -8 (pow.f64 x 3)) (+.f64 4 (*.f64 x (+.f64 x -2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x -1 -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 x -1 -1) (fma.f64 x -1 -1)) (*.f64 -1 (fma.f64 x -1 -1)))))
(*.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (fma.f64 (+.f64 x 1) x 1)))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3)) (fma.f64 (+.f64 x 1) x 1))
(/.f64 (-.f64 4 (*.f64 x x)) (+.f64 -2 x))
(/.f64 (-.f64 4 (*.f64 x x)) (+.f64 x -2))
(/.f64 (-.f64 1 (*.f64 (fma.f64 x -1 -1) (fma.f64 x -1 -1))) (-.f64 -1 (fma.f64 x -1 -1)))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (/.f64 1 x))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) x)
(pow.f64 (-.f64 -2 x) 1)
(-.f64 -2 x)
(pow.f64 (cbrt.f64 (-.f64 -2 x)) 3)
(-.f64 -2 x)
(pow.f64 (sqrt.f64 (-.f64 -2 x)) 2)
(-.f64 -2 x)
(pow.f64 (pow.f64 (-.f64 -2 x) 3) 1/3)
(-.f64 -2 x)
(pow.f64 (/.f64 (fma.f64 (+.f64 x 1) x 1) (-.f64 -1 (pow.f64 (+.f64 x 1) 3))) -1)
(*.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (fma.f64 (+.f64 x 1) x 1)))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3)) (fma.f64 (+.f64 x 1) x 1))
(pow.f64 (/.f64 x (-.f64 1 (pow.f64 (+.f64 x 1) 2))) -1)
(*.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (/.f64 1 x))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) x)
(sqrt.f64 (pow.f64 (-.f64 -2 x) 2))
(-.f64 -2 x)
(log.f64 (exp.f64 (-.f64 -2 x)))
(-.f64 -2 x)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 -2 x))))
(-.f64 -2 x)
(cbrt.f64 (pow.f64 (-.f64 -2 x) 3))
(-.f64 -2 x)
(expm1.f64 (log1p.f64 (-.f64 -2 x)))
(-.f64 -2 x)
(log1p.f64 (expm1.f64 (-.f64 -2 x)))
(-.f64 -2 x)
(exp.f64 (log.f64 (-.f64 -2 x)))
(-.f64 -2 x)
(exp.f64 (*.f64 (log.f64 (-.f64 -2 x)) 1))
(-.f64 -2 x)
(fma.f64 -1 (+.f64 x 1) -1)
(-.f64 -2 x)
(fma.f64 1 (fma.f64 x -1 -1) -1)
(-.f64 -2 x)
(fma.f64 (+.f64 x 1) -1 -1)
(-.f64 -2 x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (neg.f64 (cbrt.f64 (+.f64 x 1))) -1)
(-.f64 -2 x)
(fma.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)
(-.f64 -2 x)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x -1 -1)) (cbrt.f64 (fma.f64 x -1 -1))) (cbrt.f64 (fma.f64 x -1 -1)) -1)
(-.f64 -2 x)
(fma.f64 (sqrt.f64 (fma.f64 x -1 -1)) (sqrt.f64 (fma.f64 x -1 -1)) -1)
(-.f64 -2 x)
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)) -1)
(-.f64 -2 x)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 x 1)) -1)
(-.f64 -2 x)
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 x 1)) -1)
(-.f64 -2 x)
(fma.f64 (*.f64 -1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)) -1)
(-.f64 -2 x)

eval325.0ms (9.1%)

Compiler

Compiled 16555 to 12934 computations (21.9% saved)

prune113.0ms (3.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New6983701
Fresh011
Picked101
Done224
Total7016707
Error
0b
Counts
707 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 x -1))
33.9b
(/.f64 -2 (*.f64 x x))
13.2b
(-.f64 (/.f64 1 (+.f64 x 1)) (log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1)))))
33.6b
(*.f64 (pow.f64 x -2) -2)
33.6b
(*.f64 (/.f64 -2 x) (/.f64 1 x))
30.5b
2
Compiler

Compiled 46 to 37 computations (19.6% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (/.f64 -2 x) (/.f64 1 x))
Compiler

Compiled 17 to 12 computations (29.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(*.f64 (/.f64 -2 x) (/.f64 1 x))
0.0ms
x
@0
(*.f64 (/.f64 -2 x) (/.f64 1 x))
0.0ms
x
@inf
(*.f64 (/.f64 -2 x) (/.f64 1 x))

rewrite39.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
647×pow1_binary64
603×add-log-exp_binary64
601×log1p-expm1-u_binary64
601×expm1-log1p-u_binary64
592×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
11497
217697
Stop Event
node limit
Counts
1 → 38
Calls
Call 1
Inputs
(*.f64 (/.f64 -2 x) (/.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -2 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 (neg.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (/.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (/.f64 x (cbrt.f64 (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 -2 x)) (/.f64 x (sqrt.f64 (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 x) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (*.f64 x -1/2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (neg.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 -2 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -2 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -2 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -2 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 1 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 -2 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -2 x) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 x) 2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2 (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -2 (pow.f64 x -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 -2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 -2 x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 -2 x) 3) (/.f64 (pow.f64 x -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 x -2) x) (pow.f64 (/.f64 -2 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (pow.f64 x -2))))))))

simplify40.0ms (1.1%)

Algorithm
egg-herbie
Rules
762×log-prod_binary64
421×associate-*l*_binary64
410×associate-*r*_binary64
292×fma-def_binary64
289×times-frac_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099350
1233350
2721350
34503350
Stop Event
node limit
Counts
50 → 40
Calls
Call 1
Inputs
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(-.f64 (+.f64 1 (*.f64 -2 (pow.f64 x -2))) 1)
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 -2 (/.f64 x (/.f64 1 x)))
(/.f64 (/.f64 -2 x) x)
(/.f64 1 (*.f64 (*.f64 x -1/2) x))
(/.f64 1 (*.f64 x (*.f64 x -1/2)))
(/.f64 1 (/.f64 (*.f64 x x) -2))
(/.f64 1 (/.f64 x (/.f64 -2 x)))
(/.f64 (/.f64 1 x) (*.f64 x -1/2))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (/.f64 x (cbrt.f64 (/.f64 -2 x))))
(/.f64 (sqrt.f64 (/.f64 -2 x)) (/.f64 x (sqrt.f64 (/.f64 -2 x))))
(/.f64 -1 (*.f64 (neg.f64 x) (*.f64 x -1/2)))
(/.f64 -1 (*.f64 (*.f64 x -1/2) (neg.f64 x)))
(/.f64 2 (neg.f64 (*.f64 x x)))
(/.f64 2 (*.f64 (neg.f64 x) x))
(/.f64 2 (*.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 -2 x)) (neg.f64 x))
(/.f64 (/.f64 (/.f64 -2 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 -2 x) 1) x)
(/.f64 (/.f64 (/.f64 -2 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (*.f64 2 (/.f64 1 x)) (neg.f64 x))
(/.f64 (*.f64 -1 (/.f64 -2 x)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 -2 x) -1) (neg.f64 x))
(/.f64 (*.f64 (/.f64 1 x) 2) (neg.f64 x))
(pow.f64 (*.f64 -2 (pow.f64 x -2)) 1)
(pow.f64 (pow.f64 (*.f64 -2 (pow.f64 x -2)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) 3)
(pow.f64 (/.f64 (sqrt.f64 -2) x) 2)
(sqrt.f64 (pow.f64 (*.f64 -2 (pow.f64 x -2)) 2))
(log.f64 (exp.f64 (*.f64 -2 (pow.f64 x -2))))
(cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 x -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 -2 x) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -2 x) 3) (/.f64 (pow.f64 x -2) x)))
(cbrt.f64 (*.f64 (/.f64 (pow.f64 x -2) x) (pow.f64 (/.f64 -2 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 -2 (pow.f64 x -2))))
Outputs
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(-.f64 (+.f64 1 (*.f64 -2 (pow.f64 x -2))) 1)
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (/.f64 x (/.f64 1 x)))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 1 (*.f64 (*.f64 x -1/2) x))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 1 (*.f64 x (*.f64 x -1/2)))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 1 (/.f64 (*.f64 x x) -2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 1 (/.f64 x (/.f64 -2 x)))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 (/.f64 1 x) (*.f64 x -1/2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (/.f64 x (cbrt.f64 (/.f64 -2 x))))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 (sqrt.f64 (/.f64 -2 x)) (/.f64 x (sqrt.f64 (/.f64 -2 x))))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -1 (*.f64 (neg.f64 x) (*.f64 x -1/2)))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -1 (*.f64 (*.f64 x -1/2) (neg.f64 x)))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 2 (neg.f64 (*.f64 x x)))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 2 (*.f64 (neg.f64 x) x))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 2 (*.f64 x (neg.f64 x)))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 (neg.f64 (/.f64 -2 x)) (neg.f64 x))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 (/.f64 (/.f64 -2 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 (/.f64 (/.f64 -2 x) 1) x)
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 (/.f64 (/.f64 -2 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 (*.f64 2 (/.f64 1 x)) (neg.f64 x))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 (*.f64 -1 (/.f64 -2 x)) (neg.f64 x))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 (*.f64 (/.f64 -2 x) -1) (neg.f64 x))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(/.f64 (*.f64 (/.f64 1 x) 2) (neg.f64 x))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(pow.f64 (*.f64 -2 (pow.f64 x -2)) 1)
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(pow.f64 (pow.f64 (*.f64 -2 (pow.f64 x -2)) 3) 1/3)
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(pow.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) 3)
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(pow.f64 (/.f64 (sqrt.f64 -2) x) 2)
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(sqrt.f64 (pow.f64 (*.f64 -2 (pow.f64 x -2)) 2))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(log.f64 (exp.f64 (*.f64 -2 (pow.f64 x -2))))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 x -2)) 3))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 -2 x) 3) (pow.f64 x 3)))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -2 x) 3) (/.f64 (pow.f64 x -2) x)))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(cbrt.f64 (*.f64 (/.f64 (pow.f64 x -2) x) (pow.f64 (/.f64 -2 x) 3)))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 x -2))))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 x -2))))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(exp.f64 (log.f64 (*.f64 -2 (pow.f64 x -2))))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (pow.f64 x -2) -2)
Compiler

Compiled 11 to 8 computations (27.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(*.f64 (pow.f64 x -2) -2)
0.0ms
x
@inf
(*.f64 (pow.f64 x -2) -2)
0.0ms
x
@0
(*.f64 (pow.f64 x -2) -2)

rewrite34.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
452×pow1_binary64
442×add-sqr-sqrt_binary64
430×*-un-lft-identity_binary64
421×add-log-exp_binary64
420×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11067
211787
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 (pow.f64 x -2) -2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -2 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2 (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -2) (/.f64 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (pow.f64 x -2))))))))

simplify39.0ms (1.1%)

Algorithm
egg-herbie
Rules
561×log-prod_binary64
474×distribute-rgt-in_binary64
467×distribute-lft-in_binary64
360×associate-*l*_binary64
311×associate-*r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037161
194161
2330161
32127161
47807161
Stop Event
node limit
Counts
23 → 13
Calls
Call 1
Inputs
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(-.f64 (+.f64 1 (*.f64 -2 (pow.f64 x -2))) 1)
(pow.f64 (*.f64 -2 (pow.f64 x -2)) 1)
(pow.f64 (pow.f64 (*.f64 -2 (pow.f64 x -2)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) 3)
(pow.f64 (*.f64 (sqrt.f64 -2) (/.f64 1 x)) 2)
(sqrt.f64 (*.f64 4 (pow.f64 x -4)))
(log.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2)))
(cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 x -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 x -2))))
(log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 -2 (pow.f64 x -2))))
Outputs
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(-.f64 (+.f64 1 (*.f64 -2 (pow.f64 x -2))) 1)
(/.f64 -2 (*.f64 x x))
(pow.f64 (*.f64 -2 (pow.f64 x -2)) 1)
(/.f64 -2 (*.f64 x x))
(pow.f64 (pow.f64 (*.f64 -2 (pow.f64 x -2)) 3) 1/3)
(/.f64 -2 (*.f64 x x))
(pow.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) 3)
(/.f64 -2 (*.f64 x x))
(pow.f64 (*.f64 (sqrt.f64 -2) (/.f64 1 x)) 2)
(/.f64 -2 (*.f64 x x))
(sqrt.f64 (*.f64 4 (pow.f64 x -4)))
(/.f64 -2 (*.f64 x x))
(log.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2)))
(/.f64 -2 (*.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 x -2)) 3))
(/.f64 -2 (*.f64 x x))
(expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 x -2))))
(/.f64 -2 (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 x -2))))
(/.f64 -2 (*.f64 x x))
(exp.f64 (log.f64 (*.f64 -2 (pow.f64 x -2))))
(/.f64 -2 (*.f64 x x))

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 x -1))
Compiler

Compiled 25 to 19 computations (24% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 x -1))
0.0ms
x
@-inf
(/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 x -1))
0.0ms
x
@inf
(/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 x -1))

rewrite50.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
618×unpow-prod-down_binary64
439×log-prod_binary64
278×pow-prod-down_binary64
249×pow2_binary64
196×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0913
120213
228268
Stop Event
node limit
Counts
1 → 81
Calls
Call 1
Inputs
(/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 x -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -2 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -2 (fma.f64 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (/.f64 1 (+.f64 1 x)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (pow.f64 (/.f64 (/.f64 1 (+.f64 1 x)) (+.f64 x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (pow.f64 (/.f64 (+.f64 x -1) (/.f64 1 (+.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -2 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (+.f64 1 x)) (/.f64 -1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 2) (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) 2) (*.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) (/.f64 -1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -2 (fma.f64 x x -1))) (sqrt.f64 (/.f64 -2 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -2 (+.f64 1 x))) (*.f64 (sqrt.f64 (/.f64 -2 (+.f64 1 x))) (/.f64 -1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 1 x)) (pow.f64 (/.f64 1 (-.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) 2) 1) (/.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -2 (+.f64 1 x))) 1) (/.f64 (sqrt.f64 (/.f64 -2 (+.f64 1 x))) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 (/.f64 1 (+.f64 1 x)) (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) -2) (/.f64 (/.f64 -2 (+.f64 1 x)) (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) 2) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -2 (+.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 (sqrt.f64 (/.f64 -2 (+.f64 1 x))) (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (sqrt.f64 (+.f64 x -1))) (/.f64 (/.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x -1) -1/2) (/.f64 (/.f64 -2 (+.f64 1 x)) (sqrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) 2) (sqrt.f64 (+.f64 x -1))) (/.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) (sqrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (*.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -2 (+.f64 1 x)) (fma.f64 x x -1)) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 -2 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) (+.f64 x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 -2 (+.f64 1 x))) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (/.f64 -2 (+.f64 1 x))) (+.f64 x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -2 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) 1) (pow.f64 (/.f64 (/.f64 1 (+.f64 1 x)) (cbrt.f64 (+.f64 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) -2) 1) (pow.f64 (/.f64 (/.f64 -2 (+.f64 1 x)) (cbrt.f64 (+.f64 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) 2) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) 1) (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 -2 (+.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 (/.f64 -2 (+.f64 1 x))) (cbrt.f64 (+.f64 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -2 (sqrt.f64 (+.f64 x -1))) 1) (pow.f64 (/.f64 (/.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 x -1) -1/2) 1) (pow.f64 (/.f64 (/.f64 -2 (+.f64 1 x)) (sqrt.f64 (+.f64 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) 2) (sqrt.f64 (+.f64 x -1))) 1) (pow.f64 (/.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) (sqrt.f64 (+.f64 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 -1 (pow.f64 x 3))) 1) (-.f64 (fma.f64 x x 1) (*.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 -2 (+.f64 1 x)) (fma.f64 x x -1)) 1) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 -2 (fma.f64 x x -1)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 -2 (fma.f64 x x -1)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 4 (pow.f64 (fma.f64 x x -1) 2)) (/.f64 -2 (+.f64 1 x))) 1/3) (cbrt.f64 (/.f64 -1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 -2 (fma.f64 x x -1)) (cbrt.f64 (/.f64 -2 (fma.f64 x x -1)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 4 (pow.f64 (fma.f64 x x -1) 2)) (sqrt.f64 (/.f64 -2 (fma.f64 x x -1)))) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 -2 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1)))) 2) 3) (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 -2 (fma.f64 x x -1)))) 2) -1) (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) -2) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x -1)) (/.f64 1 (+.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) -2) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 1 (+.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x -1)) (/.f64 -2 (+.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 -2 (+.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) -2) -1) (pow.f64 (/.f64 (+.f64 x -1) (cbrt.f64 (/.f64 -2 (+.f64 1 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x -1)) (cbrt.f64 (/.f64 -2 (+.f64 1 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (cbrt.f64 (/.f64 -2 (+.f64 1 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 -2 (+.f64 1 x)) -1/2) -1) (pow.f64 (/.f64 (+.f64 x -1) (sqrt.f64 (/.f64 -2 (+.f64 1 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (sqrt.f64 (/.f64 -2 (+.f64 1 x)))) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x -1)) (sqrt.f64 (/.f64 -2 (+.f64 1 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (/.f64 -2 (+.f64 1 x)))) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (/.f64 -2 (+.f64 1 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 x -1) -2) -1) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 x -1) 2) -1) (/.f64 1 (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -2 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4 (pow.f64 (fma.f64 x x -1) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -2 (fma.f64 x x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -2 (fma.f64 x x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (/.f64 -2 (fma.f64 x x -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 -2 (+.f64 1 x)) 3) (pow.f64 (+.f64 x -1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (+.f64 1 x) -1/2) (+.f64 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x -1) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (/.f64 -2 (fma.f64 x x -1))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -2 (+.f64 1 x)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 (fma.f64 x x -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -2 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -2 (fma.f64 x x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 -2 (+.f64 1 x)) 3) (pow.f64 (+.f64 x -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -2 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -2 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -2 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -2 (fma.f64 x x -1))) 1))))))

simplify52.0ms (1.4%)

Algorithm
egg-herbie
Rules
595×unswap-sqr_binary64
530×associate-/l*_binary64
467×fma-def_binary64
384×associate-/r*_binary64
354×times-frac_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02821682
17681573
226061541
Stop Event
node limit
Counts
93 → 153
Calls
Call 1
Inputs
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(/.f64 -2 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -2 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(+.f64 0 (/.f64 -2 (fma.f64 x x -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -2 (fma.f64 x x -1)))) 1)
(*.f64 -2 (/.f64 (/.f64 1 (+.f64 1 x)) (+.f64 x -1)))
(*.f64 -2 (/.f64 1 (fma.f64 x x -1)))
(*.f64 -2 (pow.f64 (/.f64 (/.f64 1 (+.f64 1 x)) (+.f64 x -1)) 1))
(*.f64 -2 (pow.f64 (/.f64 (+.f64 x -1) (/.f64 1 (+.f64 1 x))) -1))
(*.f64 1 (/.f64 -2 (fma.f64 x x -1)))
(*.f64 (/.f64 -2 (+.f64 1 x)) (/.f64 -1 (-.f64 1 x)))
(*.f64 (/.f64 -2 (fma.f64 x x -1)) 1)
(*.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 2) (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) 2) (*.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) (/.f64 -1 (-.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 -2 (fma.f64 x x -1))) (sqrt.f64 (/.f64 -2 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (/.f64 -2 (+.f64 1 x))) (*.f64 (sqrt.f64 (/.f64 -2 (+.f64 1 x))) (/.f64 -1 (-.f64 1 x))))
(*.f64 (/.f64 2 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))
(*.f64 (/.f64 2 (+.f64 1 x)) (pow.f64 (/.f64 1 (-.f64 1 x)) 1))
(*.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 (+.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) 2) 1) (/.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) (+.f64 x -1)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 -2 (+.f64 1 x))) 1) (/.f64 (sqrt.f64 (/.f64 -2 (+.f64 1 x))) (+.f64 x -1)))
(*.f64 (/.f64 -2 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 (/.f64 1 (+.f64 1 x)) (cbrt.f64 (+.f64 x -1))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) -2) (/.f64 (/.f64 -2 (+.f64 1 x)) (cbrt.f64 (+.f64 x -1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) 2) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 -2 (+.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 (sqrt.f64 (/.f64 -2 (+.f64 1 x))) (cbrt.f64 (+.f64 x -1))))
(*.f64 (/.f64 -2 (sqrt.f64 (+.f64 x -1))) (/.f64 (/.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 x -1))))
(*.f64 (pow.f64 (+.f64 x -1) -1/2) (/.f64 (/.f64 -2 (+.f64 1 x)) (sqrt.f64 (+.f64 x -1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) 2) (sqrt.f64 (+.f64 x -1))) (/.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) (sqrt.f64 (+.f64 x -1))))
(*.f64 (/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (*.f64 x -1)))
(*.f64 (/.f64 (/.f64 -2 (+.f64 1 x)) (fma.f64 x x -1)) (+.f64 1 x))
(*.f64 (pow.f64 1 1/3) (/.f64 -2 (fma.f64 x x -1)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) (+.f64 x -1)) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 -2 (+.f64 1 x))) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (/.f64 -2 (+.f64 1 x))) (+.f64 x -1)) 1))
(*.f64 (pow.f64 (/.f64 -2 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) 1) (pow.f64 (/.f64 (/.f64 1 (+.f64 1 x)) (cbrt.f64 (+.f64 x -1))) 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) -2) 1) (pow.f64 (/.f64 (/.f64 -2 (+.f64 1 x)) (cbrt.f64 (+.f64 x -1))) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) 2) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) 1) (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 -2 (+.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 (/.f64 -2 (+.f64 1 x))) (cbrt.f64 (+.f64 x -1))) 1))
(*.f64 (pow.f64 (/.f64 -2 (sqrt.f64 (+.f64 x -1))) 1) (pow.f64 (/.f64 (/.f64 1 (+.f64 1 x)) (sqrt.f64 (+.f64 x -1))) 1))
(*.f64 (pow.f64 (pow.f64 (+.f64 x -1) -1/2) 1) (pow.f64 (/.f64 (/.f64 -2 (+.f64 1 x)) (sqrt.f64 (+.f64 x -1))) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) 2) (sqrt.f64 (+.f64 x -1))) 1) (pow.f64 (/.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) (sqrt.f64 (+.f64 x -1))) 1))
(*.f64 (pow.f64 (/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 -1 (pow.f64 x 3))) 1) (-.f64 (fma.f64 x x 1) (*.f64 x -1)))
(*.f64 (pow.f64 (/.f64 (/.f64 -2 (+.f64 1 x)) (fma.f64 x x -1)) 1) (+.f64 1 x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 -2 (fma.f64 x x -1)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 -2 (fma.f64 x x -1)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (/.f64 4 (pow.f64 (fma.f64 x x -1) 2)) (/.f64 -2 (+.f64 1 x))) 1/3) (cbrt.f64 (/.f64 -1 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 -2 (fma.f64 x x -1)) (cbrt.f64 (/.f64 -2 (fma.f64 x x -1)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (*.f64 (/.f64 4 (pow.f64 (fma.f64 x x -1) 2)) (sqrt.f64 (/.f64 -2 (fma.f64 x x -1)))) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 -2 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1)))) 2) 3) (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1)))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 -2 (fma.f64 x x -1)))) 2) -1) (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) -2) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x -1)) (/.f64 1 (+.f64 1 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) -2) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 1 (+.f64 1 x))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x -1)) (/.f64 -2 (+.f64 1 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 -2 (+.f64 1 x))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) -2) -1) (pow.f64 (/.f64 (+.f64 x -1) (cbrt.f64 (/.f64 -2 (+.f64 1 x)))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x -1)) (cbrt.f64 (/.f64 -2 (+.f64 1 x)))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (cbrt.f64 (/.f64 -2 (+.f64 1 x)))) -1))
(*.f64 (pow.f64 (pow.f64 (/.f64 -2 (+.f64 1 x)) -1/2) -1) (pow.f64 (/.f64 (+.f64 x -1) (sqrt.f64 (/.f64 -2 (+.f64 1 x)))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (sqrt.f64 (/.f64 -2 (+.f64 1 x)))) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 x -1)) (sqrt.f64 (/.f64 -2 (+.f64 1 x)))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (/.f64 -2 (+.f64 1 x)))) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (/.f64 -2 (+.f64 1 x)))) -1))
(*.f64 (pow.f64 (/.f64 (+.f64 x -1) -2) -1) (/.f64 1 (+.f64 1 x)))
(*.f64 (pow.f64 (/.f64 (+.f64 x -1) 2) -1) (/.f64 1 (+.f64 -1 (neg.f64 x))))
(pow.f64 (/.f64 -2 (fma.f64 x x -1)) 1)
(pow.f64 (/.f64 4 (pow.f64 (fma.f64 x x -1) 2)) 1/2)
(pow.f64 (pow.f64 (/.f64 -2 (fma.f64 x x -1)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 3)
(pow.f64 (sqrt.f64 (/.f64 -2 (fma.f64 x x -1))) 2)
(pow.f64 (/.f64 1 (/.f64 -2 (fma.f64 x x -1))) -1)
(pow.f64 (/.f64 (pow.f64 (/.f64 -2 (+.f64 1 x)) 3) (pow.f64 (+.f64 x -1) 3)) 1/3)
(pow.f64 (*.f64 (*.f64 (+.f64 1 x) -1/2) (+.f64 x -1)) -1)
(pow.f64 (/.f64 (fma.f64 x x -1) -2) -1)
(pow.f64 (/.f64 (/.f64 1 (/.f64 -2 (fma.f64 x x -1))) 1) -1)
(neg.f64 (/.f64 (/.f64 -2 (+.f64 1 x)) (-.f64 1 x)))
(sqrt.f64 (/.f64 4 (pow.f64 (fma.f64 x x -1) 2)))
(log.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -2 (fma.f64 x x -1)))))
(cbrt.f64 (pow.f64 (/.f64 -2 (fma.f64 x x -1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 -2 (+.f64 1 x)) 3) (pow.f64 (+.f64 x -1) 3)))
(expm1.f64 (log1p.f64 (/.f64 -2 (fma.f64 x x -1))))
(log1p.f64 (expm1.f64 (/.f64 -2 (fma.f64 x x -1))))
(exp.f64 (log.f64 (/.f64 -2 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (/.f64 -2 (fma.f64 x x -1))) 1))
Outputs
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(fma.f64 2 (*.f64 x x) 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))
(+.f64 (fma.f64 2 (*.f64 x x) 2) (*.f64 2 (pow.f64 x 4)))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 4) 2))
(*.f64 2 (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (fma.f64 2 (pow.f64 x 4) 2)))
(fma.f64 2 (fma.f64 x x (pow.f64 x 6)) (fma.f64 2 (pow.f64 x 4) 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))) (/.f64 2 (pow.f64 x 8))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 8)) (/.f64 -2 (pow.f64 x 6))) (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (+.f64 (/.f64 -2 (pow.f64 x 8)) (/.f64 -2 (pow.f64 x 6))))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))) (/.f64 2 (pow.f64 x 8))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 8)) (/.f64 -2 (pow.f64 x 6))) (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (+.f64 (/.f64 -2 (pow.f64 x 8)) (/.f64 -2 (pow.f64 x 6))))
(+.f64 0 (/.f64 -2 (fma.f64 x x -1)))
(/.f64 -2 (fma.f64 x x -1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -2 (fma.f64 x x -1)))) 1)
(/.f64 -2 (fma.f64 x x -1))
(*.f64 -2 (/.f64 (/.f64 1 (+.f64 1 x)) (+.f64 x -1)))
(/.f64 -2 (fma.f64 x x -1))
(*.f64 -2 (/.f64 1 (fma.f64 x x -1)))
(/.f64 -2 (fma.f64 x x -1))
(*.f64 -2 (pow.f64 (/.f64 (/.f64 1 (+.f64 1 x)) (+.f64 x -1)) 1))
(/.f64 -2 (fma.f64 x x -1))
(*.f64 -2 (pow.f64 (/.f64 (+.f64 x -1) (/.f64 1 (+.f64 1 x))) -1))
(/.f64 -2 (fma.f64 x x -1))
(*.f64 1 (/.f64 -2 (fma.f64 x x -1)))
(/.f64 -2 (fma.f64 x x -1))
(*.f64 (/.f64 -2 (+.f64 1 x)) (/.f64 -1 (-.f64 1 x)))
(/.f64 (*.f64 -2 (/.f64 -1 (-.f64 1 x))) (+.f64 x 1))
(/.f64 2 (*.f64 (+.f64 x 1) (-.f64 1 x)))
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(*.f64 (/.f64 -2 (fma.f64 x x -1)) 1)
(/.f64 -2 (fma.f64 x x -1))
(*.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 2))
(/.f64 -2 (fma.f64 x x -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 2) (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))))
(/.f64 -2 (fma.f64 x x -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) 2) (*.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) (/.f64 -1 (-.f64 1 x))))
(/.f64 (*.f64 -2 (/.f64 -1 (-.f64 1 x))) (+.f64 x 1))
(/.f64 2 (*.f64 (+.f64 x 1) (-.f64 1 x)))
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 -2 (fma.f64 x x -1))) (sqrt.f64 (/.f64 -2 (fma.f64 x x -1))))
(/.f64 -2 (fma.f64 x x -1))
(*.f64 (sqrt.f64 (/.f64 -2 (+.f64 1 x))) (*.f64 (sqrt.f64 (/.f64 -2 (+.f64 1 x))) (/.f64 -1 (-.f64 1 x))))
(/.f64 (*.f64 -2 (/.f64 -1 (-.f64 1 x))) (+.f64 x 1))
(/.f64 2 (*.f64 (+.f64 x 1) (-.f64 1 x)))
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(*.f64 (/.f64 2 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))
(/.f64 (*.f64 -2 (/.f64 -1 (-.f64 1 x))) (+.f64 x 1))
(/.f64 2 (*.f64 (+.f64 x 1) (-.f64 1 x)))
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(*.f64 (/.f64 2 (+.f64 1 x)) (pow.f64 (/.f64 1 (-.f64 1 x)) 1))
(/.f64 (*.f64 -2 (/.f64 -1 (-.f64 1 x))) (+.f64 x 1))
(/.f64 2 (*.f64 (+.f64 x 1) (-.f64 1 x)))
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(*.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 (+.f64 1 x)))
(/.f64 (*.f64 -2 (/.f64 -1 (-.f64 1 x))) (+.f64 x 1))
(/.f64 2 (*.f64 (+.f64 x 1) (-.f64 1 x)))
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) 2) 1) (/.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) (+.f64 x -1)))
(/.f64 -2 (fma.f64 x x -1))
(*.f64 (/.f64 (sqrt.f64 (/.f64 -2 (+.f64 1 x))) 1) (/.f64 (sqrt.f64 (/.f64 -2 (+.f64 1 x))) (+.f64 x -1)))
(/.f64 -2 (fma.f64 x x -1))
(*.f64 (/.f64 -2 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 (/.f64 1 (+.f64 1 x)) (cbrt.f64 (+.f64 x -1))))
(*.f64 (/.f64 -2 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 1 (*.f64 (cbrt.f64 (+.f64 x -1)) (+.f64 x 1))))
(/.f64 (/.f64 -2 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (*.f64 (+.f64 x 1) (cbrt.f64 (+.f64 x -1))))
(*.f64 (/.f64 -2 (+.f64 x 1)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) -2) (cbrt.f64 (+.f64 x -1))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) -2) (/.f64 (/.f64 -2 (+.f64 1 x)) (cbrt.f64 (+.f64 x -1))))
(*.f64 (/.f64 -2 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 1 (*.f64 (cbrt.f64 (+.f64 x -1)) (+.f64 x 1))))
(/.f64 (/.f64 -2 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (*.f64 (+.f64 x 1) (cbrt.f64 (+.f64 x -1))))
(*.f64 (/.f64 -2 (+.f64 x 1)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) -2) (cbrt.f64 (+.f64 x -1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) 2) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 x 1))) 2) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 x 1))) 2) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (cbrt.f64 (/.f64 -2 (fma.f64 x x -1)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 -2 (+.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 (sqrt.f64 (/.f64 -2 (+.f64 1 x))) (cbrt.f64 (+.f64 x -1))))
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(/.f64 -2 (fma.f64 x x -1))
(pow.f64 (/.f64 4 (pow.f64 (fma.f64 x x -1) 2)) 1/2)
(sqrt.f64 (/.f64 4 (pow.f64 (fma.f64 x x -1) 2)))
(pow.f64 (pow.f64 (/.f64 -2 (fma.f64 x x -1)) 3) 1/3)
(/.f64 -2 (fma.f64 x x -1))
(pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 3)
(/.f64 -2 (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (/.f64 -2 (fma.f64 x x -1))) 2)
(/.f64 -2 (fma.f64 x x -1))
(pow.f64 (/.f64 1 (/.f64 -2 (fma.f64 x x -1))) -1)
(/.f64 -2 (fma.f64 x x -1))
(pow.f64 (/.f64 (pow.f64 (/.f64 -2 (+.f64 1 x)) 3) (pow.f64 (+.f64 x -1) 3)) 1/3)
(/.f64 -2 (fma.f64 x x -1))
(pow.f64 (*.f64 (*.f64 (+.f64 1 x) -1/2) (+.f64 x -1)) -1)
(/.f64 -2 (fma.f64 x x -1))
(pow.f64 (/.f64 (fma.f64 x x -1) -2) -1)
(/.f64 -2 (fma.f64 x x -1))
(pow.f64 (/.f64 (/.f64 1 (/.f64 -2 (fma.f64 x x -1))) 1) -1)
(/.f64 -2 (fma.f64 x x -1))
(neg.f64 (/.f64 (/.f64 -2 (+.f64 1 x)) (-.f64 1 x)))
(/.f64 (*.f64 -2 (/.f64 -1 (-.f64 1 x))) (+.f64 x 1))
(/.f64 2 (*.f64 (+.f64 x 1) (-.f64 1 x)))
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(sqrt.f64 (/.f64 4 (pow.f64 (fma.f64 x x -1) 2)))
(log.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1))))
(/.f64 -2 (fma.f64 x x -1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -2 (fma.f64 x x -1)))))
(/.f64 -2 (fma.f64 x x -1))
(cbrt.f64 (pow.f64 (/.f64 -2 (fma.f64 x x -1)) 3))
(/.f64 -2 (fma.f64 x x -1))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 -2 (+.f64 1 x)) 3) (pow.f64 (+.f64 x -1) 3)))
(/.f64 -2 (fma.f64 x x -1))
(expm1.f64 (log1p.f64 (/.f64 -2 (fma.f64 x x -1))))
(/.f64 -2 (fma.f64 x x -1))
(log1p.f64 (expm1.f64 (/.f64 -2 (fma.f64 x x -1))))
(/.f64 -2 (fma.f64 x x -1))
(exp.f64 (log.f64 (/.f64 -2 (fma.f64 x x -1))))
(/.f64 -2 (fma.f64 x x -1))
(exp.f64 (*.f64 (log.f64 (/.f64 -2 (fma.f64 x x -1))) 1))
(/.f64 -2 (fma.f64 x x -1))

eval107.0ms (3%)

Compiler

Compiled 3060 to 2456 computations (19.7% saved)

prune50.0ms (1.4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New2042206
Fresh011
Picked011
Done134
Total2057212
Error
0b
Counts
212 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 x -1))
33.6b
(/.f64 (/.f64 -2 x) x)
0.1b
(/.f64 (*.f64 -2 (/.f64 -1 (-.f64 1 x))) (+.f64 x 1))
33.9b
(/.f64 -2 (*.f64 x x))
33.6b
(*.f64 (pow.f64 x -2) -2)
33.6b
(*.f64 (/.f64 -2 x) (/.f64 1 x))
30.5b
2
Compiler

Compiled 50 to 39 computations (22% saved)

localize14.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 -1 (-.f64 1 x))
0.1b
(/.f64 (*.f64 -2 (/.f64 -1 (-.f64 1 x))) (+.f64 x 1))
Compiler

Compiled 34 to 27 computations (20.6% saved)

series2.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (*.f64 -2 (/.f64 -1 (-.f64 1 x))) (+.f64 x 1))
0.0ms
x
@-inf
(/.f64 (*.f64 -2 (/.f64 -1 (-.f64 1 x))) (+.f64 x 1))
0.0ms
x
@inf
(/.f64 (*.f64 -2 (/.f64 -1 (-.f64 1 x))) (+.f64 x 1))
0.0ms
x
@inf
(/.f64 -1 (-.f64 1 x))
0.0ms
x
@0
(/.f64 -1 (-.f64 1 x))

rewrite55.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
527×log-prod_binary64
276×pow-prod-down_binary64
275×pow2_binary64
268×prod-diff_binary64
205×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
122420
2305920
Stop Event
node limit
Counts
2 → 88
Calls
Call 1
Inputs
(/.f64 (*.f64 -2 (/.f64 -1 (-.f64 1 x))) (+.f64 x 1))
(/.f64 -1 (-.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (/.f64 -1 (-.f64 1 x)) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (*.f64 (+.f64 1 x) (neg.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (pow.f64 (*.f64 (neg.f64 (-.f64 1 x)) (+.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 1 x)) (*.f64 -2 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (-.f64 1 x)) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x))) (sqrt.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (-.f64 1 x)) (/.f64 1 (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1 (-.f64 1 x)) 1) (/.f64 -2 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (+.f64 1 x)) (/.f64 -1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) 2) 1) (/.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) 1) (/.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (/.f64 -1 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -2) (/.f64 (/.f64 2 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 -2 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (sqrt.f64 (+.f64 1 x))) (/.f64 (/.f64 -1 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (/.f64 -2 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) -1/2) (/.f64 (/.f64 2 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) 2) (sqrt.f64 (+.f64 1 x))) (/.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (+.f64 1 x) 2) (-.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 3) (pow.f64 (+.f64 1 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 (+.f64 1 x) 2) (-.f64 1 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 3) (pow.f64 (+.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 2 (-.f64 1 x))) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (/.f64 2 (-.f64 1 x))) (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 (/.f64 2 (-.f64 1 x))) (log1p.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 (/.f64 2 (-.f64 1 x))) (log1p.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 (/.f64 2 (-.f64 1 x))) (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 (/.f64 2 (-.f64 1 x)))) -1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1 (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (-.f64 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (/.f64 -1 (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (neg.f64 (-.f64 1 x)) -1/2) (pow.f64 (neg.f64 (-.f64 1 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 x) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 (-.f64 1 x)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 (-.f64 1 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (-.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (/.f64 1 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (neg.f64 (-.f64 1 x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1 (-.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (-.f64 1 x)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1 (cbrt.f64 (-.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (-.f64 1 x)) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (neg.f64 (-.f64 1 x))) -1))))))

simplify55.0ms (1.5%)

Algorithm
egg-herbie
Rules
767×fma-def_binary64
574×times-frac_binary64
397×distribute-rgt-in_binary64
357×distribute-lft-in_binary64
210×associate-/l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02691697
17091602
223221383
Stop Event
node limit
Counts
112 → 178
Calls
Call 1
Inputs
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(/.f64 -2 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -2 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 0 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x)))) 1)
(*.f64 -2 (/.f64 (/.f64 -1 (-.f64 1 x)) (+.f64 1 x)))
(*.f64 -2 (/.f64 1 (*.f64 (+.f64 1 x) (neg.f64 (-.f64 1 x)))))
(*.f64 -2 (pow.f64 (*.f64 (neg.f64 (-.f64 1 x)) (+.f64 1 x)) -1))
(*.f64 1 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x)))
(*.f64 (/.f64 -1 (-.f64 1 x)) (*.f64 -2 (/.f64 1 (+.f64 1 x))))
(*.f64 (/.f64 2 (-.f64 1 x)) (/.f64 1 (+.f64 1 x)))
(*.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x)) 1)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) 2) (*.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) (/.f64 1 (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (*.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (/.f64 1 (+.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x))) (sqrt.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x))))
(*.f64 (/.f64 -2 (-.f64 1 x)) (/.f64 1 (fma.f64 -1 x -1)))
(*.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 (-.f64 1 x)))
(*.f64 (/.f64 (/.f64 -1 (-.f64 1 x)) 1) (/.f64 -2 (+.f64 1 x)))
(*.f64 (/.f64 -2 (+.f64 1 x)) (/.f64 -1 (-.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) 2) 1) (/.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) (+.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) 1) (/.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (+.f64 1 x)))
(*.f64 (/.f64 -2 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (/.f64 -1 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -2) (/.f64 (/.f64 2 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (/.f64 -1 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 -2 (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 (/.f64 2 (-.f64 1 x))) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 -2 (sqrt.f64 (+.f64 1 x))) (/.f64 (/.f64 -1 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (/.f64 -1 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (/.f64 -2 (sqrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 (+.f64 1 x) -1/2) (/.f64 (/.f64 2 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) 2) (sqrt.f64 (+.f64 1 x))) (/.f64 (cbrt.f64 (/.f64 2 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))
(*.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (fma.f64 x x -1)) (+.f64 x -1))
(pow.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x)) 1)
(pow.f64 (pow.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x))) 2)
(pow.f64 (*.f64 (/.f64 (+.f64 1 x) 2) (-.f64 1 x)) -1)
(pow.f64 (/.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 3) (pow.f64 (+.f64 1 x) 3)) 1/3)
(pow.f64 (/.f64 (*.f64 (/.f64 (+.f64 1 x) 2) (-.f64 1 x)) 1) -1)
(neg.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (fma.f64 -1 x -1)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 2 (-.f64 1 x)) 3) (pow.f64 (+.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x))))
(exp.f64 (-.f64 (log.f64 (/.f64 2 (-.f64 1 x))) (log1p.f64 x)))
(exp.f64 (*.f64 (-.f64 (log.f64 (/.f64 2 (-.f64 1 x))) (log1p.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 (/.f64 2 (-.f64 1 x))) (log1p.f64 x))) 1/3))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 (/.f64 2 (-.f64 1 x))) (log1p.f64 x))) 3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 (/.f64 2 (-.f64 1 x))) (log1p.f64 x))) 2))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 (/.f64 2 (-.f64 1 x)))) -1))
(+.f64 0 (/.f64 -1 (-.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (-.f64 1 x)))) 1)
(*.f64 -1 (/.f64 1 (-.f64 1 x)))
(*.f64 1 (/.f64 -1 (-.f64 1 x)))
(*.f64 (/.f64 -1 (-.f64 1 x)) 1)
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (-.f64 1 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (/.f64 -1 (cbrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (neg.f64 (-.f64 1 x)) -1/2) (pow.f64 (neg.f64 (-.f64 1 x)) -1/2))
(*.f64 (/.f64 1 (-.f64 1 x)) -1)
(*.f64 (/.f64 -1 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 -1 (-.f64 1 (*.f64 x x))) (+.f64 1 x))
(pow.f64 (/.f64 -1 (-.f64 1 x)) 1)
(pow.f64 (pow.f64 (-.f64 1 x) -2) 1/2)
(pow.f64 (pow.f64 (neg.f64 (-.f64 1 x)) -3) 1/3)
(pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (neg.f64 (-.f64 1 x)) -1/2) 2)
(pow.f64 (neg.f64 (-.f64 1 x)) -1)
(neg.f64 (/.f64 1 (-.f64 1 x)))
(sqrt.f64 (pow.f64 (-.f64 1 x) -2))
(log.f64 (exp.f64 (/.f64 -1 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (-.f64 1 x)))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 1 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (neg.f64 (-.f64 1 x)) -3))
(expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 -1 (-.f64 1 x))))
(exp.f64 (log.f64 (/.f64 -1 (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (-.f64 1 x))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (-.f64 1 x)) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (cbrt.f64 (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (-.f64 1 x)) -1/2)) 2))
(exp.f64 (*.f64 (log.f64 (neg.f64 (-.f64 1 x))) -1))
Outputs
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(fma.f64 2 (*.f64 x x) 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))
(+.f64 (fma.f64 2 (*.f64 x x) 2) (*.f64 2 (pow.f64 x 4)))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 4) 2))
(*.f64 2 (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (fma.f64 2 (pow.f64 x 4) 2)))
(fma.f64 2 (fma.f64 x x (pow.f64 x 6)) (fma.f64 2 (pow.f64 x 4) 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6)))
(+.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (pow.f64 x 6))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))) (/.f64 2 (pow.f64 x 8))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 8)) (/.f64 -2 (pow.f64 x 6))) (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (+.f64 (/.f64 -2 (pow.f64 x 8)) (/.f64 -2 (pow.f64 x 6))))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6)))
(+.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (pow.f64 x 6))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))) (/.f64 2 (pow.f64 x 8))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 8)) (/.f64 -2 (pow.f64 x 6))) (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (+.f64 (/.f64 -2 (pow.f64 x 8)) (/.f64 -2 (pow.f64 x 6))))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(fma.f64 x -1 -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (*.f64 -1 (fma.f64 x x x)) -1)
(fma.f64 -1 (fma.f64 x x x) -1)
(-.f64 -1 (fma.f64 x x x))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (fma.f64 -1 (pow.f64 x 3) (*.f64 -1 (fma.f64 x x x))) -1)
(+.f64 -1 (-.f64 (neg.f64 (fma.f64 x x x)) (pow.f64 x 3)))
(-.f64 (-.f64 -1 (fma.f64 x x x)) (pow.f64 x 3))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 4))))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 4))))
(+.f64 0 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x)))
(/.f64 2 (*.f64 (+.f64 x 1) (-.f64 1 x)))
(/.f64 -2 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(/.f64 -2 (fma.f64 x x -1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 2 (*.f64 (+.f64 x 1) (-.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (*.f64 (+.f64 x 1) (+.f64 x -1)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (*.f64 (+.f64 x 1) (+.f64 x -1)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x)))) 1)
(/.f64 2 (*.f64 (+.f64 x 1) (-.f64 1 x)))
(/.f64 -2 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(/.f64 -2 (fma.f64 x x -1))
(*.f64 -2 (/.f64 (/.f64 -1 (-.f64 1 x)) (+.f64 1 x)))
(/.f64 2 (*.f64 (+.f64 x 1) (-.f64 1 x)))
(/.f64 -2 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(/.f64 -2 (fma.f64 x x -1))
(*.f64 -2 (/.f64 1 (*.f64 (+.f64 1 x) (neg.f64 (-.f64 1 x)))))
(/.f64 2 (*.f64 (+.f64 x 1) (-.f64 1 x)))
(/.f64 -2 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(/.f64 -2 (fma.f64 x x -1))
(*.f64 -2 (pow.f64 (*.f64 (neg.f64 (-.f64 1 x)) (+.f64 1 x)) -1))
(/.f64 2 (*.f64 (+.f64 x 1) (-.f64 1 x)))
(/.f64 -2 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(/.f64 -2 (fma.f64 x x -1))
(*.f64 1 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x)))
(/.f64 2 (*.f64 (+.f64 x 1) (-.f64 1 x)))
(/.f64 -2 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(/.f64 -2 (fma.f64 x x -1))
(*.f64 (/.f64 -1 (-.f64 1 x)) (*.f64 -2 (/.f64 1 (+.f64 1 x))))
(/.f64 2 (*.f64 (+.f64 x 1) (-.f64 1 x)))
(/.f64 -2 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(/.f64 -2 (fma.f64 x x -1))
(*.f64 (/.f64 2 (-.f64 1 x)) (/.f64 1 (+.f64 1 x)))
(/.f64 2 (*.f64 (+.f64 x 1) (-.f64 1 x)))
(/.f64 -2 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(/.f64 -2 (fma.f64 x x -1))
(*.f64 (/.f64 (/.f64 2 (-.f64 1 x)) (+.f64 1 x)) 1)
(/.f64 2 (*.f64 (+.f64 x 1) (-.f64 1 x)))
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(/.f64 1 (+.f64 x -1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (-.f64 1 x)))))
(/.f64 -1 (-.f64 1 x))
(/.f64 1 (+.f64 x -1))
(log.f64 (/.f64 1 (exp.f64 (/.f64 1 (-.f64 1 x)))))
(/.f64 -1 (-.f64 1 x))
(/.f64 1 (+.f64 x -1))
(cbrt.f64 (pow.f64 (neg.f64 (-.f64 1 x)) -3))
(/.f64 -1 (-.f64 1 x))
(/.f64 1 (+.f64 x -1))
(expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 1 x))))
(/.f64 -1 (-.f64 1 x))
(/.f64 1 (+.f64 x -1))
(log1p.f64 (expm1.f64 (/.f64 -1 (-.f64 1 x))))
(/.f64 -1 (-.f64 1 x))
(/.f64 1 (+.f64 x -1))
(exp.f64 (log.f64 (/.f64 -1 (-.f64 1 x))))
(/.f64 -1 (-.f64 1 x))
(/.f64 1 (+.f64 x -1))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (-.f64 1 x))) 1))
(/.f64 -1 (-.f64 1 x))
(/.f64 1 (+.f64 x -1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (-.f64 1 x)) -3)) 1/3))
(/.f64 -1 (-.f64 1 x))
(/.f64 1 (+.f64 x -1))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (cbrt.f64 (-.f64 1 x)))) 3))
(/.f64 -1 (-.f64 1 x))
(/.f64 1 (+.f64 x -1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (-.f64 1 x)) -1/2)) 2))
(/.f64 -1 (-.f64 1 x))
(/.f64 1 (+.f64 x -1))
(exp.f64 (*.f64 (log.f64 (neg.f64 (-.f64 1 x))) -1))
(/.f64 -1 (-.f64 1 x))
(/.f64 1 (+.f64 x -1))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (/.f64 -2 x) x)
Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 (/.f64 -2 x) x)
0.0ms
x
@inf
(/.f64 (/.f64 -2 x) x)
0.0ms
x
@-inf
(/.f64 (/.f64 -2 x) x)

rewrite49.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
581×pow1_binary64
545×add-log-exp_binary64
545×log1p-expm1-u_binary64
545×expm1-log1p-u_binary64
535×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11127
214777
Stop Event
node limit
Counts
1 → 35
Calls
Call 1
Inputs
(/.f64 (/.f64 -2 x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -2 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -2 (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 -2 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (*.f64 x x))) 2) (cbrt.f64 (/.f64 -2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (*.f64 (cbrt.f64 (/.f64 -2 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -2) x) (/.f64 (sqrt.f64 -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -2 x)) (*.f64 (sqrt.f64 (/.f64 -2 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 -2 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -2 x)) 1) (/.f64 (sqrt.f64 (/.f64 -2 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 -2 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 -2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -2 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 -2 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 -2 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 -2 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -2 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -2 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -2 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -2 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -2 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -2 (*.f64 x x))))))))

simplify36.0ms (1%)

Algorithm
egg-herbie
Rules
424×log-prod_binary64
355×log-div_binary64
340×fma-def_binary64
289×distribute-rgt-in_binary64
276×associate-*l/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095350
1244350
2800350
33570350
Stop Event
node limit
Counts
47 → 38
Calls
Call 1
Inputs
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(-.f64 (+.f64 1 (/.f64 -2 (*.f64 x x))) 1)
(*.f64 -2 (*.f64 (/.f64 1 x) (/.f64 1 x)))
(*.f64 -2 (/.f64 (/.f64 1 x) x))
(*.f64 -2 (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 -2 x) (/.f64 1 x))
(*.f64 (/.f64 -2 (*.f64 x x)) 1)
(*.f64 1 (/.f64 -2 (*.f64 x x)))
(*.f64 (cbrt.f64 (/.f64 -2 (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 -2 (*.f64 x x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (*.f64 x x))) 2) (cbrt.f64 (/.f64 -2 (*.f64 x x))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (*.f64 (cbrt.f64 (/.f64 -2 x)) (/.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 -2) x) (/.f64 (sqrt.f64 -2) x))
(*.f64 (sqrt.f64 (/.f64 -2 x)) (*.f64 (sqrt.f64 (/.f64 -2 x)) (/.f64 1 x)))
(*.f64 (/.f64 2 x) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (/.f64 -2 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 -2 x)) x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 -2 x)) 1) (/.f64 (sqrt.f64 (/.f64 -2 x)) x))
(*.f64 (/.f64 -2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 -2 x) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 -2 (*.f64 x x))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 -2 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 -2 x)) (cbrt.f64 x)))
(*.f64 (/.f64 -2 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 -2 x) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 -2 x)) (sqrt.f64 x)))
(pow.f64 (/.f64 -2 (*.f64 x x)) 1)
(pow.f64 (pow.f64 (/.f64 -2 (*.f64 x x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 -2 (*.f64 x x))) 3)
(pow.f64 (/.f64 (sqrt.f64 -2) x) 2)
(pow.f64 (*.f64 x (*.f64 x -1/2)) -1)
(neg.f64 (/.f64 (/.f64 -2 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 -2 (*.f64 x x)) 2))
(log.f64 (exp.f64 (/.f64 -2 (*.f64 x x))))
(cbrt.f64 (pow.f64 (/.f64 -2 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (/.f64 -2 (*.f64 x x))))
(log1p.f64 (expm1.f64 (/.f64 -2 (*.f64 x x))))
(exp.f64 (log.f64 (/.f64 -2 (*.f64 x x))))
Outputs
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(-.f64 (+.f64 1 (/.f64 -2 (*.f64 x x))) 1)
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (*.f64 (/.f64 1 x) (/.f64 1 x)))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (/.f64 (/.f64 1 x) x))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (/.f64 1 (*.f64 x x)))
(/.f64 -2 (*.f64 x x))
(*.f64 (/.f64 -2 x) (/.f64 1 x))
(/.f64 -2 (*.f64 x x))
(*.f64 (/.f64 -2 (*.f64 x x)) 1)
(/.f64 -2 (*.f64 x x))
(*.f64 1 (/.f64 -2 (*.f64 x x)))
(/.f64 -2 (*.f64 x x))
(*.f64 (cbrt.f64 (/.f64 -2 (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 -2 (*.f64 x x))) 2))
(/.f64 -2 (*.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (*.f64 x x))) 2) (cbrt.f64 (/.f64 -2 (*.f64 x x))))
(/.f64 -2 (*.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (*.f64 (cbrt.f64 (/.f64 -2 x)) (/.f64 1 x)))
(/.f64 -2 (*.f64 x x))
(*.f64 (/.f64 (sqrt.f64 -2) x) (/.f64 (sqrt.f64 -2) x))
(/.f64 -2 (*.f64 x x))
(*.f64 (sqrt.f64 (/.f64 -2 x)) (*.f64 (sqrt.f64 (/.f64 -2 x)) (/.f64 1 x)))
(/.f64 -2 (*.f64 x x))
(*.f64 (/.f64 2 x) (/.f64 1 (neg.f64 x)))
(/.f64 -2 (*.f64 x x))
(*.f64 (/.f64 1 x) (/.f64 -2 x))
(/.f64 -2 (*.f64 x x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 -2 x)) x))
(/.f64 -2 (*.f64 x x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 -2 x)) 1) (/.f64 (sqrt.f64 (/.f64 -2 x)) x))
(/.f64 -2 (*.f64 x x))
(*.f64 (/.f64 -2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))
(/.f64 -2 (*.f64 x x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 -2 x) (cbrt.f64 x)))
(/.f64 -2 (*.f64 x x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 -2 (*.f64 x x))))
(*.f64 (cbrt.f64 (/.f64 -2 (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 -2 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 -2 x)) (cbrt.f64 x)))
(/.f64 -2 (*.f64 x x))
(*.f64 (/.f64 -2 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))
(/.f64 -2 (*.f64 x x))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 -2 x) (sqrt.f64 x)))
(/.f64 -2 (*.f64 x x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 -2 x)) (sqrt.f64 x)))
(/.f64 -2 (*.f64 x x))
(pow.f64 (/.f64 -2 (*.f64 x x)) 1)
(/.f64 -2 (*.f64 x x))
(pow.f64 (pow.f64 (/.f64 -2 (*.f64 x x)) 3) 1/3)
(/.f64 -2 (*.f64 x x))
(pow.f64 (cbrt.f64 (/.f64 -2 (*.f64 x x))) 3)
(/.f64 -2 (*.f64 x x))
(pow.f64 (/.f64 (sqrt.f64 -2) x) 2)
(/.f64 -2 (*.f64 x x))
(pow.f64 (*.f64 x (*.f64 x -1/2)) -1)
(/.f64 -2 (*.f64 x x))
(neg.f64 (/.f64 (/.f64 -2 x) (neg.f64 x)))
(/.f64 -2 (*.f64 x x))
(sqrt.f64 (pow.f64 (/.f64 -2 (*.f64 x x)) 2))
(/.f64 -2 (*.f64 x x))
(log.f64 (exp.f64 (/.f64 -2 (*.f64 x x))))
(/.f64 -2 (*.f64 x x))
(cbrt.f64 (pow.f64 (/.f64 -2 (*.f64 x x)) 3))
(/.f64 -2 (*.f64 x x))
(expm1.f64 (log1p.f64 (/.f64 -2 (*.f64 x x))))
(/.f64 -2 (*.f64 x x))
(log1p.f64 (expm1.f64 (/.f64 -2 (*.f64 x x))))
(/.f64 -2 (*.f64 x x))
(exp.f64 (log.f64 (/.f64 -2 (*.f64 x x))))
(/.f64 -2 (*.f64 x x))

eval63.0ms (1.8%)

Compiler

Compiled 3129 to 2447 computations (21.8% saved)

prune57.0ms (1.6%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New2160216
Fresh011
Picked011
Done055
Total2167223
Error
0b
Counts
223 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 x -1))
33.6b
(/.f64 (/.f64 -2 x) x)
0.1b
(/.f64 (*.f64 -2 (/.f64 -1 (-.f64 1 x))) (+.f64 x 1))
33.9b
(/.f64 -2 (*.f64 x x))
33.6b
(*.f64 (pow.f64 x -2) -2)
33.6b
(*.f64 (/.f64 -2 x) (/.f64 1 x))
30.5b
2
Compiler

Compiled 50 to 39 computations (22% saved)

regimes13.0ms (0.4%)

Counts
11 → 1
Calls
Call 1
Inputs
2
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 x) x)
(*.f64 (/.f64 -2 x) (/.f64 1 x))
(-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 -1 x))
(/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 x -1))
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
(/.f64 (*.f64 -2 (/.f64 -1 (-.f64 1 x))) (+.f64 x 1))
(/.f64 (/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (+.f64 1 x)) (+.f64 x -1))
(*.f64 (pow.f64 x -2) -2)
(-.f64 (/.f64 1 (+.f64 x 1)) (log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1)))))
Outputs
(/.f64 (*.f64 -2 (/.f64 -1 (-.f64 1 x))) (+.f64 x 1))
Calls

2 calls:

6.0ms
x
3.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
Results
ErrorSegmentsBranch
0.1b1x
0.1b1(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 106 to 82 computations (22.6% saved)

regimes9.0ms (0.3%)

Counts
7 → 1
Calls
Call 1
Inputs
2
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 x) x)
(*.f64 (/.f64 -2 x) (/.f64 1 x))
(-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 -1 x))
(/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 x -1))
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
Outputs
(/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 x -1))
Calls

2 calls:

5.0ms
x
3.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
Results
ErrorSegmentsBranch
0.1b1x
0.1b1(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 62 to 47 computations (24.2% saved)

regimes34.0ms (0.9%)

Counts
5 → 3
Calls
Call 1
Inputs
2
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 x) x)
(*.f64 (/.f64 -2 x) (/.f64 1 x))
(-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 -1 x))
Outputs
(/.f64 (/.f64 -2 x) x)
(-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 -1 x))
(/.f64 (/.f64 -2 x) x)
Calls

1 calls:

33.0ms
x
Results
ErrorSegmentsBranch
1.1b3x
Compiler

Compiled 30 to 21 computations (30% saved)

bsearch25.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
10.0ms
0.15950286217172832
1.8322351081680166
14.0ms
-2.367206241151029
-0.0006199801371447614
Results
22.0ms224×body256valid
Compiler

Compiled 268 to 209 computations (22% saved)

regimes12.0ms (0.3%)

Counts
4 → 3
Calls
Call 1
Inputs
2
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 x) x)
(*.f64 (/.f64 -2 x) (/.f64 1 x))
Outputs
(/.f64 (/.f64 -2 x) x)
2
(/.f64 (/.f64 -2 x) x)
Calls

1 calls:

11.0ms
x
Results
ErrorSegmentsBranch
1.1b3x
Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch24.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
10.0ms
0.15950286217172832
1.8322351081680166
14.0ms
-2.367206241151029
-0.0006199801371447614
Results
21.0ms224×body256valid
Compiler

Compiled 156 to 125 computations (19.9% saved)

regimes9.0ms (0.3%)

Accuracy

Total -61.7b remaining (-4558.8%)

Threshold costs -61.7b (-4558.8%)

Counts
2 → 3
Calls
Call 1
Inputs
2
(/.f64 -2 (*.f64 x x))
Outputs
(/.f64 -2 (*.f64 x x))
2
(/.f64 -2 (*.f64 x x))
Calls

1 calls:

9.0ms
x
Results
ErrorSegmentsBranch
1.4b3x
Compiler

Compiled 9 to 6 computations (33.3% saved)

bsearch41.0ms (1.1%)

Algorithm
binary-search
Steps
TimeLeftRight
10.0ms
0.15950286217172832
1.8322351081680166
31.0ms
-2.367206241151029
-0.0006199801371447614
Results
38.0ms224×body256valid
Compiler

Compiled 156 to 125 computations (19.9% saved)

simplify32.0ms (0.9%)

Algorithm
egg-herbie
Rules
11×cancel-sign-sub-inv_binary64
+-commutative_binary64
sub-neg_binary64
distribute-rgt-neg-in_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033123
143123
253123
364123
485123
596123
6101123
7110123
8114123
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 -2 (/.f64 -1 (-.f64 1 x))) (+.f64 x 1))
(/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 x -1))
(if (<=.f64 x -6980579422424269/4503599627370496) (/.f64 (/.f64 -2 x) x) (if (<=.f64 x 1) (-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 -1 x)) (/.f64 (/.f64 -2 x) x)))
(if (<=.f64 x -1) (/.f64 (/.f64 -2 x) x) (if (<=.f64 x 1) 2 (/.f64 (/.f64 -2 x) x)))
(if (<=.f64 x -1) (/.f64 -2 (*.f64 x x)) (if (<=.f64 x 1) 2 (/.f64 -2 (*.f64 x x))))
2
Outputs
(/.f64 (*.f64 -2 (/.f64 -1 (-.f64 1 x))) (+.f64 x 1))
(/.f64 (*.f64 -2 (/.f64 -1 (-.f64 1 x))) (+.f64 1 x))
(/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 x -1))
(/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 -1 x))
(if (<=.f64 x -6980579422424269/4503599627370496) (/.f64 (/.f64 -2 x) x) (if (<=.f64 x 1) (-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 -1 x)) (/.f64 (/.f64 -2 x) x)))
(if (<=.f64 x -6980579422424269/4503599627370496) (/.f64 (/.f64 -2 x) x) (if (<=.f64 x 1) (-.f64 (/.f64 1 (+.f64 1 x)) (-.f64 -1 x)) (/.f64 (/.f64 -2 x) x)))
(if (<=.f64 x -6980579422424269/4503599627370496) (/.f64 (/.f64 -2 x) x) (if (<=.f64 x 1) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 1 x)) (/.f64 (/.f64 -2 x) x)))
(if (<=.f64 x -1) (/.f64 (/.f64 -2 x) x) (if (<=.f64 x 1) 2 (/.f64 (/.f64 -2 x) x)))
(if (<=.f64 x -1) (/.f64 -2 (*.f64 x x)) (if (<=.f64 x 1) 2 (/.f64 -2 (*.f64 x x))))
2
Compiler

Compiled 92 to 67 computations (27.2% saved)

soundness64.0ms (1.8%)

Algorithm
egg-herbie
Rules
595×unswap-sqr_binary64
530×associate-/l*_binary64
467×fma-def_binary64
384×associate-/r*_binary64
354×times-frac_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02821682
17681573
226061541
Stop Event
node limit
Compiler

Compiled 36 to 30 computations (16.7% saved)

end110.0ms (3.1%)

Compiler

Compiled 87 to 62 computations (28.7% saved)

Profiling

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