Details

Time bar (total: 4.9s)

analyze5.0ms (0.1%)

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

Compiled 13 to 11 computations (15.4% saved)

sample1.4s (29.4%)

Results
785.0ms5748×body256valid
481.0ms2069×body512valid
149.0ms439×body1024valid

preprocess24.0ms (0.5%)

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)))

eval2.0ms (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
13.7b
Counts
4 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
13.7b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize13.0ms (0.3%)

Local error

Found 6 expressions with local error:

NewErrorProgram
3.0b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
0.0b
(/.f64 1 (+.f64 x 1))
0.0b
(/.f64 1 (-.f64 x 1))
0.0b
(/.f64 1 (-.f64 x 1))
0.0b
(/.f64 1 (+.f64 x 1))
3.0b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 30 to 23 computations (23.3% saved)

series4.0ms (0.1%)

Counts
3 → 36
Calls

9 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)))
1.0ms
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
@0
(/.f64 1 (+.f64 x 1))

rewrite89.0ms (1.8%)

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
0830
119230
2298530
Stop Event
node limit
Counts
3 → 212
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
(/.f64 1 (+.f64 x 1))
(/.f64 1 (-.f64 x 1))
Outputs
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simplify120.0ms (2.5%)

Algorithm
egg-herbie
Rules
475×fma-neg_binary64
377×div-sub_binary64
359×unswap-sqr_binary64
338×cancel-sign-sub-inv_binary64
243×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04755859
112355179
238634470
Stop Event
node limit
Counts
248 → 372
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 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
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(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 (*.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 6)) (/.f64 -2 (pow.f64 x 8))))
(/.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 6)) (/.f64 -2 (pow.f64 x 8))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -1 x (*.f64 x x)))
(-.f64 (fma.f64 x x 1) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))))
(fma.f64 -1 (pow.f64 x 3) (+.f64 1 (fma.f64 -1 x (*.f64 x x))))
(-.f64 (-.f64 (fma.f64 x x 1) x) (pow.f64 x 3))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))))
-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 (-.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 (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 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 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -1 (+.f64 x -1)))
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 -1 (+.f64 x -1)) 1))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -1 (+.f64 x -1)))
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(+.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 1 (+.f64 x 1)) (/.f64 -1 (+.f64 x -1)))
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(+.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 x 1)) (/.f64 -1 (+.f64 x -1))) (fma.f64 (/.f64 -1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1))))
(+.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))) (-.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (cbrt.f64 (+.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 1 (+.f64 x 1)) (/.f64 -1 (+.f64 x -1)))
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(+.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 1 (+.f64 x 1)) (/.f64 -1 (+.f64 x -1)))
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(+.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 (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -1 (+.f64 x -1))) (fma.f64 (/.f64 -1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1))))
(+.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))) (-.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (cbrt.f64 (+.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 x -1)))
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(+.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 1 (+.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -1 (+.f64 x -1)))
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.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 (/.f64 1 (+.f64 x 1)) (/.f64 -1 (+.f64 x -1)))
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(+.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 (/.f64 1 (+.f64 x 1)) (/.f64 -1 (+.f64 x -1)))
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(+.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 (+.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 1 (+.f64 x -1))) (fma.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 x -1)) 0) (+.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2)) (cbrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 x -1) -2)) (cbrt.f64 (-.f64 x -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 (+.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 1 (+.f64 x -1))) (fma.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 x -1)) 0) (+.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2)) (cbrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 x -1) -2)) (cbrt.f64 (-.f64 x -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)))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -1 (+.f64 x -1)))
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(+.f64 (fma.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 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 (/.f64 1 (+.f64 x 1)) (/.f64 -1 (+.f64 x -1)))
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(+.f64 (fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 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 (+.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))))
(+.f64 (*.f64 (/.f64 -1 (+.f64 x -1)) 0) (+.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 (+.f64 x -1) (fma.f64 x x -1))))
(-.f64 (/.f64 (+.f64 x -1) (fma.f64 x x -1)) (/.f64 1 (+.f64 x -1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.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 (/.f64 1 (+.f64 x 1)) (/.f64 -1 (+.f64 x -1)))
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(+.f64 (fma.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 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 (+.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) (+.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 (-.f64 (fma.f64 x x 1) x) (+.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 (-.f64 (fma.f64 x x 1) x) (+.f64 1 (pow.f64 x 3))))
(+.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (*.f64 (+.f64 1 x) (/.f64 1 (fma.f64 x x -1))))) (fma.f64 (+.f64 -1 (neg.f64 x)) (/.f64 1 (fma.f64 x x -1)) (*.f64 (+.f64 1 x) (/.f64 1 (fma.f64 x x -1)))))
(+.f64 (fma.f64 (-.f64 -1 x) (/.f64 1 (fma.f64 x x -1)) (/.f64 (*.f64 1 (+.f64 x 1)) (fma.f64 x x -1))) (+.f64 (/.f64 1 (+.f64 x 1)) (*.f64 (+.f64 x 1) (neg.f64 (/.f64 1 (fma.f64 x x -1))))))
(+.f64 (/.f64 1 (+.f64 x 1)) (+.f64 (/.f64 (-.f64 -1 x) (fma.f64 x x -1)) (*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 (-.f64 -1 x) (+.f64 x 1)))))
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))
(*.f64 2 (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 1 x)))) 1)
(/.f64 1 (+.f64 x 1))
(/.f64 1 (-.f64 x -1))
(*.f64 1 (/.f64 1 (+.f64 1 x)))
(/.f64 1 (+.f64 x 1))
(/.f64 1 (-.f64 x -1))
(*.f64 (/.f64 1 (+.f64 1 x)) 1)
(/.f64 1 (+.f64 x 1))
(/.f64 1 (-.f64 x -1))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)))
(*.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)) (cbrt.f64 (-.f64 x -1)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))))
(*.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)) (cbrt.f64 (-.f64 x -1)))
(*.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2))
(/.f64 1 (+.f64 x 1))
(/.f64 1 (-.f64 x -1))
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 x))))
(/.f64 1 (+.f64 x 1))
(/.f64 1 (-.f64 x -1))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x -1))
(*.f64 (+.f64 x -1) (/.f64 1 (fma.f64 x x -1)))
(/.f64 (+.f64 x -1) (fma.f64 x x -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -2) (/.f64 1 (cbrt.f64 (+.f64 1 x))))
(/.f64 1 (+.f64 x 1))
(/.f64 1 (-.f64 x -1))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))
(/.f64 (-.f64 (fma.f64 x x 1) x) (+.f64 1 (pow.f64 x 3)))
(pow.f64 (+.f64 1 x) -1)
(/.f64 1 (+.f64 x 1))
(/.f64 1 (-.f64 x -1))
(pow.f64 (/.f64 1 (+.f64 1 x)) 1)
(/.f64 1 (+.f64 x 1))
(/.f64 1 (-.f64 x -1))
(pow.f64 (pow.f64 (+.f64 1 x) -2) 1/2)
(/.f64 1 (+.f64 x 1))
(/.f64 1 (-.f64 x -1))
(pow.f64 (pow.f64 (+.f64 1 x) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 3) -1/6) (pow.f64 (pow.f64 (+.f64 x 1) 3) -1/6))
(*.f64 (pow.f64 (pow.f64 (-.f64 x -1) 3) -1/6) (pow.f64 (pow.f64 (-.f64 x -1) 3) -1/6))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) 3)
(/.f64 1 (+.f64 x 1))
(/.f64 1 (-.f64 x -1))
(pow.f64 (cbrt.f64 (+.f64 1 x)) -3)
(pow.f64 (cbrt.f64 (+.f64 x 1)) -3)
(pow.f64 (cbrt.f64 (-.f64 x -1)) -3)
(pow.f64 (pow.f64 (+.f64 1 x) -1/2) 2)
(/.f64 1 (+.f64 x 1))
(/.f64 1 (-.f64 x -1))
(pow.f64 (sqrt.f64 (+.f64 1 x)) -2)
(pow.f64 (sqrt.f64 (+.f64 x 1)) -2)
(pow.f64 (sqrt.f64 (-.f64 x -1)) -2)
(pow.f64 (pow.f64 (+.f64 1 x) -3) 1/3)
(cbrt.f64 (pow.f64 (+.f64 x 1) -3))
(cbrt.f64 (pow.f64 (-.f64 x -1) -3))
(pow.f64 (neg.f64 (+.f64 -1 (neg.f64 x))) -1)
(/.f64 1 (+.f64 x 1))
(/.f64 1 (-.f64 x -1))
(sqrt.f64 (pow.f64 (+.f64 1 x) -2))
(/.f64 1 (+.f64 x 1))
(/.f64 1 (-.f64 x -1))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))
(/.f64 1 (+.f64 x 1))
(/.f64 1 (-.f64 x -1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 x)))))
(/.f64 1 (+.f64 x 1))
(/.f64 1 (-.f64 x -1))
(cbrt.f64 (pow.f64 (+.f64 1 x) -3))
(cbrt.f64 (pow.f64 (+.f64 x 1) -3))
(cbrt.f64 (pow.f64 (-.f64 x -1) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 x))))
(/.f64 1 (+.f64 x 1))
(/.f64 1 (-.f64 x -1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 x))))
(/.f64 1 (+.f64 x 1))
(/.f64 1 (-.f64 x -1))
(exp.f64 (neg.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log1p.f64 x) -1))
(exp.f64 (neg.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) 1))
(exp.f64 (neg.f64 (log1p.f64 x)))
(+.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 (*.f64 1 (+.f64 x 1)) (fma.f64 x x -1))
(/.f64 (+.f64 x 1) (fma.f64 x x -1))
(/.f64 (-.f64 x -1) (fma.f64 x 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))

eval194.0ms (4%)

Compiler

Compiled 8660 to 6905 computations (20.3% saved)

prune46.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3684372
Fresh000
Picked011
Done000
Total3685373
Error
0.4b
Counts
373 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
30.5b
(/.f64 -2 (*.f64 x x))
0.4b
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
33.2b
2
0.4b
(/.f64 -2 (fma.f64 x x -1))
13.7b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 37 to 29 computations (21.6% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 14 to 9 computations (35.7% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite50.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
540×pow1_binary64
529×add-sqr-sqrt_binary64
502×add-log-exp_binary64
502×log1p-expm1-u_binary64
502×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
11228
213688
Stop Event
node limit
Counts
1 → 20
Calls
Call 1
Inputs
(/.f64 -2 (fma.f64 x x -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -2 (fma.f64 x x -1))) 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 (/.f64 -2 (fma.f64 x x -1)) 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 (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 (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 2 (/.f64 1 (neg.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) -2)))) (#(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 (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 (fma.f64 x x -1) -1/2) -1)))) (#(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 cbrt.f64 (pow.f64 (/.f64 -2 (fma.f64 x 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))))))))

simplify43.0ms (0.9%)

Algorithm
egg-herbie
Rules
445×log-prod_binary64
426×fma-neg_binary64
373×associate-*l*_binary64
330×associate-*r*_binary64
314×distribute-rgt-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
076505
1192432
2701371
33833368
Stop Event
node limit
Counts
32 → 52
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 (+.f64 1 (/.f64 -2 (fma.f64 x x -1))) 1)
(*.f64 -2 (/.f64 1 (fma.f64 x x -1)))
(*.f64 (/.f64 -2 (fma.f64 x x -1)) 1)
(*.f64 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 (pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 2) (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (/.f64 -2 (fma.f64 x x -1))) (sqrt.f64 (/.f64 -2 (fma.f64 x x -1))))
(*.f64 2 (/.f64 1 (neg.f64 (fma.f64 x x -1))))
(*.f64 (/.f64 1 (fma.f64 x x -1)) -2)
(pow.f64 (/.f64 -2 (fma.f64 x x -1)) 1)
(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 (fma.f64 x x -1) -1/2) -1)
(sqrt.f64 (/.f64 4 (pow.f64 (fma.f64 x x -1) 2)))
(log.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1))))
(cbrt.f64 (pow.f64 (/.f64 -2 (fma.f64 x 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))))
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)))
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))
(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 (*.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 (/.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 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (-.f64 (/.f64 -2 (pow.f64 x 8)) (/.f64 2 (pow.f64 x 6))))
(-.f64 (/.f64 -2 (pow.f64 x 6)) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 8)))))
(/.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 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))
(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 (*.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 (/.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 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (-.f64 (/.f64 -2 (pow.f64 x 8)) (/.f64 2 (pow.f64 x 6))))
(-.f64 (/.f64 -2 (pow.f64 x 6)) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 8)))))
(-.f64 (+.f64 1 (/.f64 -2 (fma.f64 x x -1))) 1)
(+.f64 (+.f64 1 (/.f64 -2 (fma.f64 x x -1))) -1)
(+.f64 (/.f64 -2 (fma.f64 x x -1)) 0)
(/.f64 -2 (fma.f64 x x -1))
(*.f64 -2 (/.f64 1 (fma.f64 x x -1)))
(+.f64 (+.f64 1 (/.f64 -2 (fma.f64 x x -1))) -1)
(+.f64 (/.f64 -2 (fma.f64 x x -1)) 0)
(/.f64 -2 (fma.f64 x x -1))
(*.f64 (/.f64 -2 (fma.f64 x x -1)) 1)
(+.f64 (+.f64 1 (/.f64 -2 (fma.f64 x x -1))) -1)
(+.f64 (/.f64 -2 (fma.f64 x x -1)) 0)
(/.f64 -2 (fma.f64 x x -1))
(*.f64 1 (/.f64 -2 (fma.f64 x x -1)))
(+.f64 (+.f64 1 (/.f64 -2 (fma.f64 x x -1))) -1)
(+.f64 (/.f64 -2 (fma.f64 x x -1)) 0)
(/.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 (+.f64 1 (/.f64 -2 (fma.f64 x x -1))) -1)
(+.f64 (/.f64 -2 (fma.f64 x x -1)) 0)
(/.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 (+.f64 1 (/.f64 -2 (fma.f64 x x -1))) -1)
(+.f64 (/.f64 -2 (fma.f64 x x -1)) 0)
(/.f64 -2 (fma.f64 x x -1))
(*.f64 (sqrt.f64 (/.f64 -2 (fma.f64 x x -1))) (sqrt.f64 (/.f64 -2 (fma.f64 x x -1))))
(+.f64 (+.f64 1 (/.f64 -2 (fma.f64 x x -1))) -1)
(+.f64 (/.f64 -2 (fma.f64 x x -1)) 0)
(/.f64 -2 (fma.f64 x x -1))
(*.f64 2 (/.f64 1 (neg.f64 (fma.f64 x x -1))))
(+.f64 (+.f64 1 (/.f64 -2 (fma.f64 x x -1))) -1)
(+.f64 (/.f64 -2 (fma.f64 x x -1)) 0)
(/.f64 -2 (fma.f64 x x -1))
(*.f64 (/.f64 1 (fma.f64 x x -1)) -2)
(+.f64 (+.f64 1 (/.f64 -2 (fma.f64 x x -1))) -1)
(+.f64 (/.f64 -2 (fma.f64 x x -1)) 0)
(/.f64 -2 (fma.f64 x x -1))
(pow.f64 (/.f64 -2 (fma.f64 x x -1)) 1)
(+.f64 (+.f64 1 (/.f64 -2 (fma.f64 x x -1))) -1)
(+.f64 (/.f64 -2 (fma.f64 x x -1)) 0)
(/.f64 -2 (fma.f64 x x -1))
(pow.f64 (pow.f64 (/.f64 -2 (fma.f64 x x -1)) 3) 1/3)
(+.f64 (+.f64 1 (/.f64 -2 (fma.f64 x x -1))) -1)
(+.f64 (/.f64 -2 (fma.f64 x x -1)) 0)
(/.f64 -2 (fma.f64 x x -1))
(pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 3)
(+.f64 (+.f64 1 (/.f64 -2 (fma.f64 x x -1))) -1)
(+.f64 (/.f64 -2 (fma.f64 x x -1)) 0)
(/.f64 -2 (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (/.f64 -2 (fma.f64 x x -1))) 2)
(+.f64 (+.f64 1 (/.f64 -2 (fma.f64 x x -1))) -1)
(+.f64 (/.f64 -2 (fma.f64 x x -1)) 0)
(/.f64 -2 (fma.f64 x x -1))
(pow.f64 (*.f64 (fma.f64 x x -1) -1/2) -1)
(+.f64 (+.f64 1 (/.f64 -2 (fma.f64 x x -1))) -1)
(+.f64 (/.f64 -2 (fma.f64 x x -1)) 0)
(/.f64 -2 (fma.f64 x x -1))
(sqrt.f64 (/.f64 4 (pow.f64 (fma.f64 x x -1) 2)))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/2 1/2) -2))
(fabs.f64 (/.f64 -2 (fma.f64 x x -1)))
(log.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1))))
(+.f64 (+.f64 1 (/.f64 -2 (fma.f64 x x -1))) -1)
(+.f64 (/.f64 -2 (fma.f64 x x -1)) 0)
(/.f64 -2 (fma.f64 x x -1))
(cbrt.f64 (pow.f64 (/.f64 -2 (fma.f64 x x -1)) 3))
(+.f64 (+.f64 1 (/.f64 -2 (fma.f64 x x -1))) -1)
(+.f64 (/.f64 -2 (fma.f64 x x -1)) 0)
(/.f64 -2 (fma.f64 x x -1))
(expm1.f64 (log1p.f64 (/.f64 -2 (fma.f64 x x -1))))
(+.f64 (+.f64 1 (/.f64 -2 (fma.f64 x x -1))) -1)
(+.f64 (/.f64 -2 (fma.f64 x x -1)) 0)
(/.f64 -2 (fma.f64 x x -1))
(log1p.f64 (expm1.f64 (/.f64 -2 (fma.f64 x x -1))))
(+.f64 (+.f64 1 (/.f64 -2 (fma.f64 x x -1))) -1)
(+.f64 (/.f64 -2 (fma.f64 x x -1)) 0)
(/.f64 -2 (fma.f64 x x -1))
(exp.f64 (log.f64 (/.f64 -2 (fma.f64 x x -1))))
(+.f64 (+.f64 1 (/.f64 -2 (fma.f64 x x -1))) -1)
(+.f64 (/.f64 -2 (fma.f64 x x -1)) 0)
(/.f64 -2 (fma.f64 x x -1))

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
0.0b
(*.f64 (-.f64 -1 x) (-.f64 1 x))
0.0b
(*.f64 (-.f64 -1 x) (-.f64 1 x))
0.4b
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
Compiler

Compiled 27 to 20 computations (25.9% saved)

series4.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite67.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
542×unpow-prod-down_binary64
405×log-prod_binary64
308×exp-prod_binary64
246×pow-prod-down_binary64
241×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
119623
2250623
Stop Event
node limit
Counts
2 → 112
Calls
Call 1
Inputs
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(*.f64 (-.f64 -1 x) (-.f64 1 x))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x)) -1/2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))))) (sqrt.f64 (log.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 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x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 -1 x)) (*.f64 (neg.f64 x) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 -1 x)) (*.f64 (-.f64 -1 x) (neg.f64 x)))))))

simplify68.0ms (1.4%)

Algorithm
egg-herbie
Rules
800×fma-def_binary64
570×associate-/r*_binary64
477×unswap-sqr_binary64
406×times-frac_binary64
344×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03062191
18032013
226161680
Stop Event
node limit
Counts
136 → 201
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 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(+.f64 0 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))))) 1)
(*.f64 -2 (/.f64 (/.f64 1 (-.f64 1 x)) (-.f64 -1 x)))
(*.f64 1 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))))
(*.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))) (cbrt.f64 (*.f64 4 (pow.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x)) -2))))
(*.f64 (cbrt.f64 (*.f64 4 (pow.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x)) -2))) (cbrt.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))))
(*.f64 (sqrt.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))) (sqrt.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))))
(*.f64 2 (/.f64 1 (*.f64 (-.f64 1 x) (neg.f64 (-.f64 -1 x)))))
(*.f64 2 (pow.f64 (/.f64 1 (*.f64 (-.f64 1 x) (neg.f64 (-.f64 -1 x)))) 1))
(*.f64 (/.f64 (/.f64 1 (-.f64 1 x)) (-.f64 -1 x)) -2)
(*.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 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(*.f64 (pow.f64 1 1/3) (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))))
(*.f64 (pow.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (pow.f64 x 3))) 1) (+.f64 1 (fma.f64 x x x)))
(*.f64 (pow.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x))) 1) (+.f64 x 1))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (*.f64 4 (pow.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x)) -2)) -2) 1/3) (cbrt.f64 (/.f64 (/.f64 1 (-.f64 1 x)) (-.f64 -1 x))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))) (cbrt.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))))))
(*.f64 (pow.f64 (pow.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))))))
(*.f64 (pow.f64 (cbrt.f64 -2) 3) (/.f64 (/.f64 1 (-.f64 1 x)) (-.f64 -1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))))) 2) 3) (cbrt.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 -2) 2) (/.f64 (/.f64 1 (-.f64 1 x)) (-.f64 -1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x)) -1/2)) 2) -1) (cbrt.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))))
(pow.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))) 1)
(pow.f64 (E.f64) (log.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))))
(pow.f64 (*.f64 4 (pow.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x)) -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))) 3)
(pow.f64 (sqrt.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))) 2)
(pow.f64 (*.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x)) -1/2) -1)
(pow.f64 (/.f64 (*.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x)) -1/2) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))))) (sqrt.f64 (log.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))))))
(sqrt.f64 (*.f64 4 (pow.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x)) -2)))
(log.f64 (exp.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))))
(exp.f64 (log.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x)) -1/2)) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))) 1) 1))
(+.f64 (-.f64 -1 x) (*.f64 (neg.f64 x) (-.f64 -1 x)))
(+.f64 (-.f64 -1 x) (*.f64 (-.f64 -1 x) (neg.f64 x)))
(+.f64 0 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 (neg.f64 x) (-.f64 1 x)))
(+.f64 (*.f64 (-.f64 1 x) -1) (*.f64 (-.f64 1 x) (neg.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 -1 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 -1 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 -1 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 -1 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x)))) 1)
(/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2) (*.f64 (+.f64 -1 x) (+.f64 x 1)))
(/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2) (*.f64 (+.f64 x 1) (+.f64 -1 x)))
(/.f64 (*.f64 (-.f64 -1 (pow.f64 x 3)) (-.f64 1 (pow.f64 x 3))) (*.f64 (fma.f64 x (+.f64 -1 x) 1) (+.f64 1 (fma.f64 x x x))))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 x 3))) (*.f64 (+.f64 -1 x) (+.f64 1 (fma.f64 x x x))))
(/.f64 (*.f64 (-.f64 -1 (pow.f64 x 3)) (-.f64 1 (*.f64 x x))) (*.f64 (fma.f64 x (+.f64 -1 x) 1) (+.f64 x 1)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 -1 (pow.f64 x 3))) (*.f64 (+.f64 1 (fma.f64 x x x)) (fma.f64 x (+.f64 -1 x) 1)))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 -1 (pow.f64 x 3))) (*.f64 (+.f64 x 1) (fma.f64 x (+.f64 -1 x) 1)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 1 (*.f64 x x))) (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 -1 x)))
(/.f64 (*.f64 (-.f64 -1 (pow.f64 x 3)) (-.f64 1 x)) (fma.f64 x (+.f64 -1 x) 1))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x)) (+.f64 -1 x))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 -1 x)) (+.f64 1 (fma.f64 x x x)))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 -1 x)) (+.f64 x 1))
(/.f64 (*.f64 (-.f64 -1 x) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(/.f64 (*.f64 (-.f64 1 x) (-.f64 -1 (pow.f64 x 3))) (fma.f64 x (+.f64 -1 x) 1))
(/.f64 (*.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 -1 x))
(pow.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x))))
(pow.f64 (pow.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x))))) (sqrt.f64 (log.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x)))))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 -1 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x))))
(exp.f64 (log.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x))) 1) 1))
(fma.f64 -1 (-.f64 1 x) (*.f64 (neg.f64 x) (-.f64 1 x)))
(fma.f64 (-.f64 -1 x) 1 (*.f64 (neg.f64 x) (-.f64 -1 x)))
(fma.f64 (-.f64 -1 x) 1 (*.f64 (-.f64 -1 x) (neg.f64 x)))
(fma.f64 1 (-.f64 -1 x) (*.f64 (neg.f64 x) (-.f64 -1 x)))
(fma.f64 1 (-.f64 -1 x) (*.f64 (-.f64 -1 x) (neg.f64 x)))
(fma.f64 (-.f64 1 x) -1 (*.f64 (-.f64 1 x) (neg.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 (neg.f64 x) (-.f64 -1 x)))
(fma.f64 (cbrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 (-.f64 -1 x) (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) (*.f64 (neg.f64 x) (-.f64 -1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) (*.f64 (-.f64 -1 x) (neg.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (*.f64 (neg.f64 x) (-.f64 -1 x)))
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (*.f64 (-.f64 -1 x) (neg.f64 x)))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 -1 x) 1)) (*.f64 (neg.f64 x) (-.f64 -1 x)))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 -1 x) 1)) (*.f64 (-.f64 -1 x) (neg.f64 x)))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 -1 x)) (*.f64 (neg.f64 x) (-.f64 -1 x)))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 -1 x)) (*.f64 (-.f64 -1 x) (neg.f64 x)))
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)))
(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)))
(+.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 (/.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)))
(+.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 (/.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 (pow.f64 x 2) 1)
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1)
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1)
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(+.f64 0 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))))
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(/.f64 -2 (fma.f64 x x -1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))))) 1)
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(/.f64 -2 (fma.f64 x x -1))
(*.f64 -2 (/.f64 (/.f64 1 (-.f64 1 x)) (-.f64 -1 x)))
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(/.f64 -2 (fma.f64 x x -1))
(*.f64 1 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))))
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(/.f64 -2 (fma.f64 x x -1))
(*.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))) 1)
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(/.f64 -2 (fma.f64 x x -1))
(*.f64 (cbrt.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))) (cbrt.f64 (*.f64 4 (pow.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x)) -2))))
(*.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) (cbrt.f64 (*.f64 4 (pow.f64 (fma.f64 x x -1) -2))))
(*.f64 (cbrt.f64 (*.f64 4 (pow.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x)) -2))) (cbrt.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))))
(*.f64 (cbrt.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))) (cbrt.f64 (*.f64 4 (pow.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x)) -2))))
(*.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) (cbrt.f64 (*.f64 4 (pow.f64 (fma.f64 x x -1) -2))))
(*.f64 (sqrt.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))) (sqrt.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))))
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(/.f64 -2 (fma.f64 x x -1))
(*.f64 2 (/.f64 1 (*.f64 (-.f64 1 x) (neg.f64 (-.f64 -1 x)))))
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(/.f64 -2 (fma.f64 x x -1))
(*.f64 2 (pow.f64 (/.f64 1 (*.f64 (-.f64 1 x) (neg.f64 (-.f64 -1 x)))) 1))
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(/.f64 -2 (fma.f64 x x -1))
(*.f64 (/.f64 (/.f64 1 (-.f64 1 x)) (-.f64 -1 x)) -2)
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(/.f64 -2 (fma.f64 x x -1))
(*.f64 (/.f64 -2 (-.f64 -1 x)) (/.f64 1 (-.f64 1 x)))
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(/.f64 -2 (fma.f64 x x -1))
(*.f64 (/.f64 -2 (-.f64 -1 x)) (pow.f64 (/.f64 1 (-.f64 1 x)) 1))
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(/.f64 -2 (fma.f64 x x -1))
(*.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 (pow.f64 x 3)))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 (/.f64 -2 (-.f64 1 (pow.f64 x 3))) (-.f64 -1 x)) (+.f64 1 (fma.f64 x x x)))
(/.f64 -2 (*.f64 (/.f64 (-.f64 -1 x) (+.f64 1 (fma.f64 x x x))) (-.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(*.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))) (+.f64 x 1))
(*.f64 (/.f64 (/.f64 -2 (-.f64 1 (*.f64 x x))) (-.f64 -1 x)) (+.f64 x 1))
(*.f64 (/.f64 -2 (-.f64 -1 x)) (/.f64 (+.f64 x 1) (-.f64 1 (*.f64 x x))))
(*.f64 (pow.f64 1 1/3) (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))))
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(/.f64 -2 (fma.f64 x x -1))
(*.f64 (pow.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (pow.f64 x 3))) 1) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 (pow.f64 x 3)))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 (/.f64 -2 (-.f64 1 (pow.f64 x 3))) (-.f64 -1 x)) (+.f64 1 (fma.f64 x x x)))
(/.f64 -2 (*.f64 (/.f64 (-.f64 -1 x) (+.f64 1 (fma.f64 x x x))) (-.f64 1 (pow.f64 x 3))))
(*.f64 (pow.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x))) 1) (+.f64 x 1))
(*.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))) (+.f64 x 1))
(*.f64 (/.f64 (/.f64 -2 (-.f64 1 (*.f64 x x))) (-.f64 -1 x)) (+.f64 x 1))
(*.f64 (/.f64 -2 (-.f64 -1 x)) (/.f64 (+.f64 x 1) (-.f64 1 (*.f64 x x))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 -8 (pow.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x)) 3)))) (cbrt.f64 (sqrt.f64 (/.f64 -8 (pow.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x)) 3)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))) 3))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 -2 (fma.f64 x x -1)) 3/2)) (cbrt.f64 (pow.f64 (/.f64 -2 (fma.f64 x x -1)) 3/2)))
(*.f64 (pow.f64 (*.f64 (*.f64 4 (pow.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x)) -2)) -2) 1/3) (cbrt.f64 (/.f64 (/.f64 1 (-.f64 1 x)) (-.f64 -1 x))))
(*.f64 (cbrt.f64 (*.f64 4 (*.f64 (pow.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x)) -2) -2))) (cbrt.f64 (/.f64 1 (*.f64 (-.f64 -1 x) (-.f64 1 x)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 (-.f64 -1 x) (-.f64 1 x)) -2) -8)) (cbrt.f64 (/.f64 1 (*.f64 (-.f64 -1 x) (-.f64 1 x)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -1) -2) -8)) (cbrt.f64 (/.f64 1 (fma.f64 x x -1))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))) (cbrt.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))) (cbrt.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x))))))
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(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(fma.f64 (-.f64 -1 x) 1 (*.f64 (neg.f64 x) (-.f64 -1 x)))
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(fma.f64 (-.f64 -1 x) 1 (*.f64 (-.f64 -1 x) (neg.f64 x)))
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(fma.f64 1 (-.f64 -1 x) (*.f64 (neg.f64 x) (-.f64 -1 x)))
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(fma.f64 1 (-.f64 -1 x) (*.f64 (-.f64 -1 x) (neg.f64 x)))
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(fma.f64 (-.f64 1 x) -1 (*.f64 (-.f64 1 x) (neg.f64 x)))
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(fma.f64 (cbrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 (neg.f64 x) (-.f64 -1 x)))
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(fma.f64 (cbrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 (-.f64 -1 x) (neg.f64 x)))
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) (*.f64 (neg.f64 x) (-.f64 -1 x)))
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) (*.f64 (-.f64 -1 x) (neg.f64 x)))
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (*.f64 (neg.f64 x) (-.f64 -1 x)))
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (*.f64 (-.f64 -1 x) (neg.f64 x)))
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 -1 x) 1)) (*.f64 (neg.f64 x) (-.f64 -1 x)))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (*.f64 (-.f64 -1 x) (neg.f64 x)))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (fma.f64 x x x))
(+.f64 (fma.f64 x x x) (/.f64 (-.f64 -1 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1) 1)))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 -1 x) 1)) (*.f64 (-.f64 -1 x) (neg.f64 x)))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (*.f64 (-.f64 -1 x) (neg.f64 x)))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (fma.f64 x x x))
(+.f64 (fma.f64 x x x) (/.f64 (-.f64 -1 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1) 1)))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 -1 x)) (*.f64 (neg.f64 x) (-.f64 -1 x)))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x -1)) (*.f64 (-.f64 -1 x) (neg.f64 x)))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x -1)) (fma.f64 x x x))
(+.f64 (fma.f64 x x x) (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 x -1)))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 -1 x)) (*.f64 (-.f64 -1 x) (neg.f64 x)))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x -1)) (*.f64 (-.f64 -1 x) (neg.f64 x)))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x -1)) (fma.f64 x x x))
(+.f64 (fma.f64 x x x) (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 x -1)))

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite42.0ms (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))))))))

simplify38.0ms (0.8%)

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))

eval157.0ms (3.2%)

Compiler

Compiled 4110 to 3136 computations (23.7% saved)

prune81.0ms (1.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New2716277
Fresh101
Picked011
Done213
Total2748282
Error
0b
Counts
282 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
33.2b
2
0.4b
(/.f64 -2 (+.f64 (*.f64 x x) -1))
30.1b
(*.f64 -2 (pow.f64 x -2))
5.2b
(*.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))) (+.f64 x 1))
30.5b
(/.f64 -2 (*.f64 x x))
0.4b
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
30.2b
(*.f64 (/.f64 -2 x) (/.f64 1 x))
0.1b
(*.f64 (/.f64 (/.f64 1 (-.f64 1 x)) (-.f64 -1 x)) -2)
Compiler

Compiled 118 to 92 computations (22% saved)

localize16.0ms (0.3%)

Local error

Found 6 expressions with local error:

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

Compiled 36 to 28 computations (22.2% saved)

series3.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite71.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
496×log-prod_binary64
387×exp-prod_binary64
281×pow-prod-down_binary64
274×pow2_binary64
243×prod-diff_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01036
122233
2296833
Stop Event
node limit
Counts
3 → 127
Calls
Call 1
Inputs
(/.f64 (/.f64 1 (-.f64 1 x)) (-.f64 -1 x))
(/.f64 1 (-.f64 1 x))
(*.f64 (/.f64 (/.f64 1 (-.f64 1 x)) (-.f64 -1 x)) -2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (*.f64 (-.f64 1 x) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (*.f64 (-.f64 1 x) (-.f64 -1 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (*.f64 (-.f64 1 x) (-.f64 -1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (*.f64 (-.f64 1 x) (-.f64 -1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (*.f64 (-.f64 1 x) (-.f64 -1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 (-.f64 1 x) (-.f64 -1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (*.f64 (-.f64 1 x) (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (-.f64 1 x) (-.f64 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 -1 x)))) (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 -1 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 -1 x)) -2)) (/.f64 1 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) (/.f64 1 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 -1 x)) -1/2) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 -1 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 x) -1/2) (*.f64 (pow.f64 (-.f64 1 x) -1/2) (/.f64 1 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 1 (neg.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -1 x)) (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) (-.f64 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simplify122.0ms (2.5%)

Algorithm
egg-herbie
Rules
873×fma-def_binary64
403×unswap-sqr_binary64
260×associate-/l/_binary64
231×sqr-pow_binary64
177×div-sub_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03602504
19232367
230502338
Stop Event
node limit
Counts
163 → 256
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -1 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 4))) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 6)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 4)))) 1)
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (pow.f64 x 2) x))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x)))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.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)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))))
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 1 (*.f64 (-.f64 1 x) (-.f64 -1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (*.f64 (-.f64 1 x) (-.f64 -1 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (*.f64 (-.f64 1 x) (-.f64 -1 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (*.f64 (-.f64 1 x) (-.f64 -1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (*.f64 (-.f64 1 x) (-.f64 -1 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 (-.f64 1 x) (-.f64 -1 x))))) 1)
(*.f64 1 (/.f64 1 (*.f64 (-.f64 1 x) (-.f64 -1 x))))
(*.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (-.f64 -1 x)))
(*.f64 (/.f64 1 (*.f64 (-.f64 1 x) (-.f64 -1 x))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 -1 x)))) (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 -1 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 -1 x)) -2)) (/.f64 1 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 -1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) (/.f64 1 (-.f64 -1 x))))
(*.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 -1 x)) -1/2) (pow.f64 (*.f64 (-.f64 1 x) (-.f64 -1 x)) -1/2))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (*.f64 (pow.f64 (-.f64 1 x) -1/2) (/.f64 1 (-.f64 -1 x))))
(*.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 1 (neg.f64 (-.f64 -1 x))))
(*.f64 (/.f64 1 (-.f64 -1 x)) (/.f64 1 (-.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) (-.f64 -1 x)))
(*.f64 (/.f64 (pow.f64 (-.f64 1 x) -1/2) 1) (/.f64 (pow.f64 (-.f64 1 x) -1/2) (-.f64 -1 x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) -2) (/.f64 (/.f64 1 (-.f64 1 x)) (cbrt.f64 (-.f64 -1 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (/.f64 1 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 -1 x)))))
(*.f64 (/.f64 (pow.f64 (-.f64 1 x) -1/2) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (/.f64 (pow.f64 (-.f64 1 x) -1/2) (cbrt.f64 (-.f64 -1 x))))
(*.f64 (pow.f64 (-.f64 -1 x) -1/2) (/.f64 (/.f64 1 (-.f64 1 x)) (sqrt.f64 (-.f64 -1 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (sqrt.f64 (-.f64 -1 x))) (/.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 -1 x))))
(*.f64 (/.f64 (/.f64 1 (-.f64 1 x)) (-.f64 -1 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1) 1))
(*.f64 (/.f64 (/.f64 1 (-.f64 1 x)) (-.f64 1 (*.f64 x x))) (+.f64 x -1))
(pow.f64 (/.f64 1 (*.f64 (-.f64 1 x) (-.f64 -1 x))) 1)
(pow.f64 (E.f64) (neg.f64 (log.f64 (*.f64 (-.f64 1 x) (-.f64 -1 x)))))
(pow.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 -1 x)) -2) 1/2)
(pow.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 -1 x)) -3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 -1 x)))) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 -1 x)) -1/2) 2)
(pow.f64 (*.f64 (-.f64 1 x) (-.f64 -1 x)) -1)
(pow.f64 (/.f64 (pow.f64 (-.f64 1 x) -3) (pow.f64 (-.f64 -1 x) 3)) 1/3)
(pow.f64 (/.f64 (*.f64 (-.f64 1 x) (-.f64 -1 x)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (*.f64 (-.f64 1 x) (-.f64 -1 x))))) 2)) (cbrt.f64 (neg.f64 (log.f64 (*.f64 (-.f64 1 x) (-.f64 -1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (*.f64 (-.f64 1 x) (-.f64 -1 x)))))) (sqrt.f64 (neg.f64 (log.f64 (*.f64 (-.f64 1 x) (-.f64 -1 x))))))
(neg.f64 (/.f64 (/.f64 1 (-.f64 1 x)) (neg.f64 (-.f64 -1 x))))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 -1 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (*.f64 (-.f64 1 x) (-.f64 -1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 (-.f64 1 x) (-.f64 -1 x))))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 -1 x)) -3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) -3) (pow.f64 (-.f64 -1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 (-.f64 1 x) (-.f64 -1 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 (-.f64 1 x) (-.f64 -1 x)))))
(exp.f64 (neg.f64 (log.f64 (*.f64 (-.f64 1 x) (-.f64 -1 x)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (-.f64 1 x) (-.f64 -1 x)))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 -1 x)) -3)) 1/3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 -1 x))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 -1 x)) -1/2)) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 x) (-.f64 -1 x))) -1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (-.f64 1 x) (-.f64 -1 x)))) 1) 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 (/.f64 1 (-.f64 1 x)) 1)
(*.f64 -1 (/.f64 -1 (-.f64 1 x)))
(*.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 (-.f64 1 x) -1/2) (pow.f64 (-.f64 1 x) -1/2))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (+.f64 1 x))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 1 (cbrt.f64 (-.f64 1 x))))
(pow.f64 (-.f64 1 x) -1)
(pow.f64 (/.f64 1 (-.f64 1 x)) 1)
(pow.f64 (E.f64) (neg.f64 (log1p.f64 (neg.f64 x))))
(pow.f64 (exp.f64 -1) (log1p.f64 (neg.f64 x)))
(pow.f64 (pow.f64 (-.f64 1 x) -2) 1/2)
(pow.f64 (pow.f64 (-.f64 1 x) -3) 1/3)
(pow.f64 (pow.f64 (-.f64 1 x) 2) -1/2)
(pow.f64 (pow.f64 (-.f64 1 x) 3) -1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 x))) 3)
(pow.f64 (cbrt.f64 (-.f64 1 x)) -3)
(pow.f64 (pow.f64 (-.f64 1 x) -1/2) 2)
(pow.f64 (sqrt.f64 (-.f64 1 x)) -2)
(pow.f64 (neg.f64 (neg.f64 (-.f64 1 x))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log1p.f64 (neg.f64 x)))) 2)) (cbrt.f64 (neg.f64 (log1p.f64 (neg.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log1p.f64 (neg.f64 x))))) (sqrt.f64 (neg.f64 (log1p.f64 (neg.f64 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)))))
(cbrt.f64 (pow.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 (neg.f64 (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 x) -3)) 1/3))
(exp.f64 (*.f64 (*.f64 1/3 (neg.f64 (log1p.f64 (neg.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (neg.f64 x))) 2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1) -1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 x)) -1) 1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1) 1))
(+.f64 0 (/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x))))) 1)
(/.f64 1 (/.f64 (-.f64 -1 x) (/.f64 -2 (-.f64 1 x))))
(/.f64 (/.f64 1 (-.f64 1 x)) (/.f64 (-.f64 -1 x) -2))
(/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x)))
(/.f64 (/.f64 -2 (-.f64 1 x)) (-.f64 -1 x))
(/.f64 (neg.f64 (/.f64 -2 (-.f64 1 x))) (neg.f64 (-.f64 -1 x)))
(/.f64 (/.f64 (/.f64 -2 (-.f64 1 x)) 1) (-.f64 -1 x))
(/.f64 (/.f64 (/.f64 -2 (-.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2)) (cbrt.f64 (-.f64 -1 x)))
(/.f64 (/.f64 (/.f64 -2 (-.f64 1 x)) (sqrt.f64 (-.f64 -1 x))) (sqrt.f64 (-.f64 -1 x)))
(/.f64 (*.f64 (/.f64 -1 (-.f64 1 x)) -2) (neg.f64 (-.f64 -1 x)))
(/.f64 (*.f64 -2 (/.f64 -1 (-.f64 1 x))) (neg.f64 (-.f64 -1 x)))
(pow.f64 (/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x))) 1)
(pow.f64 (E.f64) (log.f64 (/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x)))))
(pow.f64 (*.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 -1 x)) -2) 4) 1/2)
(pow.f64 (pow.f64 (/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x)))) 3)
(pow.f64 (sqrt.f64 (/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x)))) 2)
(pow.f64 (/.f64 (-.f64 -1 x) (/.f64 -2 (-.f64 1 x))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x))))) 2)) (cbrt.f64 (log.f64 (/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x)))))) (sqrt.f64 (log.f64 (/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x))))))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 -1 x)) -2) 4))
(log.f64 (exp.f64 (/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x))))))
(cbrt.f64 (pow.f64 (/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x)))))
(log1p.f64 (expm1.f64 (/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x)))))
(exp.f64 (log.f64 (/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x)))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x))))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x))))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x)))) 1) 1))
Outputs
-1
(-.f64 (*.f64 -1 (pow.f64 x 2)) 1)
(fma.f64 -1 (*.f64 x x) -1)
(fma.f64 x (neg.f64 x) -1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 4))) 1)
(+.f64 (fma.f64 -1 (*.f64 x x) (neg.f64 (pow.f64 x 4))) -1)
(fma.f64 -1 (fma.f64 x x (pow.f64 x 4)) -1)
(-.f64 -1 (fma.f64 x x (pow.f64 x 4)))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 6)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 4)))) 1)
(+.f64 (fma.f64 -1 (pow.f64 x 6) (fma.f64 -1 (*.f64 x x) (neg.f64 (pow.f64 x 4)))) -1)
(fma.f64 -1 (pow.f64 x 6) (fma.f64 -1 (fma.f64 x x (pow.f64 x 4)) -1))
(-.f64 (-.f64 -1 (fma.f64 x x (pow.f64 x 4))) (pow.f64 x 6))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 8))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 8)))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6)))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 8))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 8)))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (pow.f64 x 2) x))
(+.f64 1 (fma.f64 x x x))
(fma.f64 x x (+.f64 x 1))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x)))
(+.f64 (+.f64 1 (*.f64 x x)) (+.f64 x (pow.f64 x 3)))
(+.f64 1 (+.f64 x (*.f64 x (fma.f64 x x x))))
(*.f64 (+.f64 x 1) (fma.f64 x x 1))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 3)))
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(/.f64 2 (*.f64 (-.f64 1 x) (+.f64 x 1)))
(/.f64 -2 (*.f64 (+.f64 x 1) (+.f64 -1 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x))))))
(/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x)))
(/.f64 2 (*.f64 (-.f64 1 x) (+.f64 x 1)))
(/.f64 -2 (*.f64 (+.f64 x 1) (+.f64 -1 x)))
(cbrt.f64 (pow.f64 (/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x))) 3))
(/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x)))
(/.f64 2 (*.f64 (-.f64 1 x) (+.f64 x 1)))
(/.f64 -2 (*.f64 (+.f64 x 1) (+.f64 -1 x)))
(expm1.f64 (log1p.f64 (/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x)))))
(/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x)))
(/.f64 2 (*.f64 (-.f64 1 x) (+.f64 x 1)))
(/.f64 -2 (*.f64 (+.f64 x 1) (+.f64 -1 x)))
(log1p.f64 (expm1.f64 (/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x)))))
(/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x)))
(/.f64 2 (*.f64 (-.f64 1 x) (+.f64 x 1)))
(/.f64 -2 (*.f64 (+.f64 x 1) (+.f64 -1 x)))
(exp.f64 (log.f64 (/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x)))))
(/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x)))
(/.f64 2 (*.f64 (-.f64 1 x) (+.f64 x 1)))
(/.f64 -2 (*.f64 (+.f64 x 1) (+.f64 -1 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x)))) 1))
(/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x)))
(/.f64 2 (*.f64 (-.f64 1 x) (+.f64 x 1)))
(/.f64 -2 (*.f64 (+.f64 x 1) (+.f64 -1 x)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x))))) 1/3))
(/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x)))
(/.f64 2 (*.f64 (-.f64 1 x) (+.f64 x 1)))
(/.f64 -2 (*.f64 (+.f64 x 1) (+.f64 -1 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x))))) 3))
(/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x)))
(/.f64 2 (*.f64 (-.f64 1 x) (+.f64 x 1)))
(/.f64 -2 (*.f64 (+.f64 x 1) (+.f64 -1 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x))))) 2))
(/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x)))
(/.f64 2 (*.f64 (-.f64 1 x) (+.f64 x 1)))
(/.f64 -2 (*.f64 (+.f64 x 1) (+.f64 -1 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x)))) 1) 1))
(/.f64 -2 (*.f64 (-.f64 1 x) (-.f64 -1 x)))
(/.f64 2 (*.f64 (-.f64 1 x) (+.f64 x 1)))
(/.f64 -2 (*.f64 (+.f64 x 1) (+.f64 -1 x)))

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (/.f64 -2 x) (/.f64 1 x))
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
0.0ms
x
@0
(*.f64 (/.f64 -2 x) (/.f64 1 x))
0.0ms
x
@inf
(*.f64 (/.f64 -2 x) (/.f64 1 x))
0.0ms
x
@-inf
(*.f64 (/.f64 -2 x) (/.f64 1 x))

rewrite86.0ms (1.8%)

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))))))))

simplify74.0ms (1.5%)

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))

localize14.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.4b
(/.f64 -2 (+.f64 (*.f64 x x) -1))
0.4b
(/.f64 -2 (+.f64 (*.f64 x x) -1))
Compiler

Compiled 19 to 10 computations (47.4% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite87.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
757×pow1_binary64
709×add-log-exp_binary64
709×log1p-expm1-u_binary64
709×expm1-log1p-u_binary64
696×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
11568
219638
Stop Event
node limit
Counts
1 → 22
Calls
Call 1
Inputs
(/.f64 -2 (+.f64 (*.f64 x x) -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -2 (fma.f64 x x -1))) 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 (/.f64 -2 (fma.f64 x x -1)) 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 (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 (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 2 (/.f64 1 (neg.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (+.f64 -1 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x (*.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x 1))))) (#(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 (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 (fma.f64 x x -1) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -2 (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 cbrt.f64 (pow.f64 (/.f64 -2 (fma.f64 x 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))))))))

simplify74.0ms (1.5%)

Algorithm
egg-herbie
Rules
474×fma-neg_binary64
434×log-prod_binary64
379×associate-*l*_binary64
352×distribute-rgt-in_binary64
336×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
086548
1227468
2814397
34149397
Stop Event
node limit
Counts
34 → 56
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 (+.f64 1 (/.f64 -2 (fma.f64 x x -1))) 1)
(*.f64 -2 (/.f64 1 (fma.f64 x x -1)))
(*.f64 (/.f64 -2 (fma.f64 x x -1)) 1)
(*.f64 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 (pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 2) (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (/.f64 -2 (fma.f64 x x -1))) (sqrt.f64 (/.f64 -2 (fma.f64 x x -1))))
(*.f64 2 (/.f64 1 (neg.f64 (fma.f64 x x -1))))
(*.f64 (/.f64 1 (fma.f64 x x -1)) -2)
(*.f64 (/.f64 -2 (+.f64 -1 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x (*.f64 x -1)))))
(*.f64 (/.f64 -2 (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x 1))
(pow.f64 (/.f64 -2 (fma.f64 x x -1)) 1)
(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 (fma.f64 x x -1) -1/2) -1)
(sqrt.f64 (pow.f64 (/.f64 -2 (fma.f64 x x -1)) 2))
(log.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1))))
(cbrt.f64 (pow.f64 (/.f64 -2 (fma.f64 x 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))))
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 (pow.f64 x 4) (fma.f64 x x 1)))
(+.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)))
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))
(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 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 -2 (pow.f64 x 6)))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (-.f64 (/.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 (/.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 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (+.f64 (/.f64 -2 (pow.f64 x 8)) (/.f64 -2 (pow.f64 x 6))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 -2 (pow.f64 x 8)) (-.f64 (/.f64 -2 (*.f64 x x)) (/.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 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))
(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 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 -2 (pow.f64 x 6)))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (-.f64 (/.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 (/.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 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (+.f64 (/.f64 -2 (pow.f64 x 8)) (/.f64 -2 (pow.f64 x 6))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 -2 (pow.f64 x 8)) (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(-.f64 (+.f64 1 (/.f64 -2 (fma.f64 x x -1))) 1)
(+.f64 1 (-.f64 (/.f64 -2 (fma.f64 x x -1)) 1))
(+.f64 (/.f64 -2 (fma.f64 x x -1)) 0)
(/.f64 -2 (fma.f64 x x -1))
(*.f64 -2 (/.f64 1 (fma.f64 x x -1)))
(+.f64 1 (-.f64 (/.f64 -2 (fma.f64 x x -1)) 1))
(+.f64 (/.f64 -2 (fma.f64 x x -1)) 0)
(/.f64 -2 (fma.f64 x x -1))
(*.f64 (/.f64 -2 (fma.f64 x x -1)) 1)
(+.f64 1 (-.f64 (/.f64 -2 (fma.f64 x x -1)) 1))
(+.f64 (/.f64 -2 (fma.f64 x x -1)) 0)
(/.f64 -2 (fma.f64 x x -1))
(*.f64 1 (/.f64 -2 (fma.f64 x x -1)))
(+.f64 1 (-.f64 (/.f64 -2 (fma.f64 x x -1)) 1))
(+.f64 (/.f64 -2 (fma.f64 x x -1)) 0)
(/.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 1 (-.f64 (/.f64 -2 (fma.f64 x x -1)) 1))
(+.f64 (/.f64 -2 (fma.f64 x x -1)) 0)
(/.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 1 (-.f64 (/.f64 -2 (fma.f64 x x -1)) 1))
(+.f64 (/.f64 -2 (fma.f64 x x -1)) 0)
(/.f64 -2 (fma.f64 x x -1))
(*.f64 (sqrt.f64 (/.f64 -2 (fma.f64 x x -1))) (sqrt.f64 (/.f64 -2 (fma.f64 x x -1))))
(+.f64 1 (-.f64 (/.f64 -2 (fma.f64 x x -1)) 1))
(+.f64 (/.f64 -2 (fma.f64 x x -1)) 0)
(/.f64 -2 (fma.f64 x x -1))
(*.f64 2 (/.f64 1 (neg.f64 (fma.f64 x x -1))))
(+.f64 1 (-.f64 (/.f64 -2 (fma.f64 x x -1)) 1))
(+.f64 (/.f64 -2 (fma.f64 x x -1)) 0)
(/.f64 -2 (fma.f64 x x -1))
(*.f64 (/.f64 1 (fma.f64 x x -1)) -2)
(+.f64 1 (-.f64 (/.f64 -2 (fma.f64 x x -1)) 1))
(+.f64 (/.f64 -2 (fma.f64 x x -1)) 0)
(/.f64 -2 (fma.f64 x x -1))
(*.f64 (/.f64 -2 (+.f64 -1 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x (*.f64 x -1)))))
(/.f64 (*.f64 -2 (-.f64 (+.f64 (pow.f64 x 4) 1) (*.f64 x (*.f64 x -1)))) (+.f64 (pow.f64 x 6) -1))
(*.f64 (/.f64 -2 (+.f64 (pow.f64 x 6) -1)) (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x (neg.f64 x)))))
(*.f64 (/.f64 -2 (+.f64 (pow.f64 x 6) -1)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(*.f64 (/.f64 -2 (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x 1))
(+.f64 1 (-.f64 (/.f64 -2 (fma.f64 x x -1)) 1))
(+.f64 (/.f64 -2 (fma.f64 x x -1)) 0)
(/.f64 -2 (fma.f64 x x -1))
(pow.f64 (/.f64 -2 (fma.f64 x x -1)) 1)
(+.f64 1 (-.f64 (/.f64 -2 (fma.f64 x x -1)) 1))
(+.f64 (/.f64 -2 (fma.f64 x x -1)) 0)
(/.f64 -2 (fma.f64 x x -1))
(pow.f64 (pow.f64 (/.f64 -2 (fma.f64 x x -1)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 -2 (fma.f64 x x -1)) 1))
(+.f64 (/.f64 -2 (fma.f64 x x -1)) 0)
(/.f64 -2 (fma.f64 x x -1))
(pow.f64 (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))) 3)
(+.f64 1 (-.f64 (/.f64 -2 (fma.f64 x x -1)) 1))
(+.f64 (/.f64 -2 (fma.f64 x x -1)) 0)
(/.f64 -2 (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (/.f64 -2 (fma.f64 x x -1))) 2)
(+.f64 1 (-.f64 (/.f64 -2 (fma.f64 x x -1)) 1))
(+.f64 (/.f64 -2 (fma.f64 x x -1)) 0)
(/.f64 -2 (fma.f64 x x -1))
(pow.f64 (*.f64 (fma.f64 x x -1) -1/2) -1)
(+.f64 1 (-.f64 (/.f64 -2 (fma.f64 x x -1)) 1))
(+.f64 (/.f64 -2 (fma.f64 x x -1)) 0)
(/.f64 -2 (fma.f64 x x -1))
(sqrt.f64 (pow.f64 (/.f64 -2 (fma.f64 x x -1)) 2))
(+.f64 1 (-.f64 (/.f64 -2 (fma.f64 x x -1)) 1))
(+.f64 (/.f64 -2 (fma.f64 x x -1)) 0)
(/.f64 -2 (fma.f64 x x -1))
(log.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1))))
(+.f64 1 (-.f64 (/.f64 -2 (fma.f64 x x -1)) 1))
(+.f64 (/.f64 -2 (fma.f64 x x -1)) 0)
(/.f64 -2 (fma.f64 x x -1))
(cbrt.f64 (pow.f64 (/.f64 -2 (fma.f64 x x -1)) 3))
(+.f64 1 (-.f64 (/.f64 -2 (fma.f64 x x -1)) 1))
(+.f64 (/.f64 -2 (fma.f64 x x -1)) 0)
(/.f64 -2 (fma.f64 x x -1))
(expm1.f64 (log1p.f64 (/.f64 -2 (fma.f64 x x -1))))
(+.f64 1 (-.f64 (/.f64 -2 (fma.f64 x x -1)) 1))
(+.f64 (/.f64 -2 (fma.f64 x x -1)) 0)
(/.f64 -2 (fma.f64 x x -1))
(log1p.f64 (expm1.f64 (/.f64 -2 (fma.f64 x x -1))))
(+.f64 1 (-.f64 (/.f64 -2 (fma.f64 x x -1)) 1))
(+.f64 (/.f64 -2 (fma.f64 x x -1)) 0)
(/.f64 -2 (fma.f64 x x -1))
(exp.f64 (log.f64 (/.f64 -2 (fma.f64 x x -1))))
(+.f64 1 (-.f64 (/.f64 -2 (fma.f64 x x -1)) 1))
(+.f64 (/.f64 -2 (fma.f64 x x -1)) 0)
(/.f64 -2 (fma.f64 x x -1))

localize74.0ms (1.5%)

Local error

Found 6 expressions with local error:

NewErrorProgram
4.8b
(*.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))) (+.f64 x 1))
0.3b
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x))))
0.0b
(*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))
0.0b
(*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))
0.3b
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x))))
4.8b
(*.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))) (+.f64 x 1))
Compiler

Compiled 54 to 33 computations (38.9% saved)

series7.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite166.0ms (3.4%)

Algorithm
batch-egg-rewrite
Rules
656×prod-diff_binary64
609×log-prod_binary64
349×fma-def_binary64
233×log-div_binary64
222×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01251
127451
2391049
Stop Event
node limit
Counts
3 → 176
Calls
Call 1
Inputs
(*.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))) (+.f64 x 1))
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x))))
(*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))
Outputs
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simplify238.0ms (4.9%)

Algorithm
egg-herbie
Rules
382×div-sub_binary64
280×associate-*l*_binary64
276×associate-*r*_binary64
230×log-prod_binary64
229×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04515054
112464724
253744679
Stop Event
node limit
Counts
212 → 296
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))))))
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(/.f64 -2 (pow.f64 x 2))
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2
(+.f64 2 (*.f64 -2 x))
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(/.f64 -2 (pow.f64 x 3))
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(/.f64 -2 (pow.f64 x 3))
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-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1 x) (pow.f64 x 2)) 1)
(-.f64 (+.f64 (*.f64 -1 x) (+.f64 (pow.f64 x 2) (pow.f64 x 3))) 1)
(pow.f64 x 3)
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(pow.f64 x 3)
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(/.f64 1 (/.f64 (*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x))) (fma.f64 -2 x -2)))
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(/.f64 (*.f64 2 (+.f64 x 1)) (*.f64 (-.f64 1 (*.f64 x x)) (neg.f64 (-.f64 -1 x))))
(/.f64 (*.f64 (/.f64 -2 (-.f64 -1 x)) (+.f64 x 1)) (-.f64 1 (*.f64 x x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x)))) (-.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 (fma.f64 x x -1) (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x)))) (+.f64 -1 x))
(/.f64 (*.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x))) (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x))) (fma.f64 x x -1)) (+.f64 -1 x))
(/.f64 (*.f64 (+.f64 x 1) 2) (*.f64 (-.f64 1 (*.f64 x x)) (neg.f64 (-.f64 -1 x))))
(/.f64 (*.f64 (+.f64 x 1) (/.f64 -2 (-.f64 -1 x))) (-.f64 1 (*.f64 x x)))
(pow.f64 (/.f64 (/.f64 (fma.f64 -2 x -2) (-.f64 -1 x)) (-.f64 1 (*.f64 x x))) 1)
(pow.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 -2 x -2) (-.f64 -1 x)) (-.f64 1 (*.f64 x x))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (fma.f64 -2 x -2) (-.f64 -1 x)) (-.f64 1 (*.f64 x x)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (fma.f64 -2 x -2) (-.f64 -1 x)) (-.f64 1 (*.f64 x x)))) 2)
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 -2 x -2) (-.f64 -1 x)) (-.f64 1 (*.f64 x x))) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (fma.f64 -2 x -2) (-.f64 -1 x)) (-.f64 1 (*.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (fma.f64 -2 x -2) (-.f64 -1 x)) (-.f64 1 (*.f64 x x))))))
(log.f64 (*.f64 (exp.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x)))) (exp.f64 (*.f64 x (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x)))))))
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(fma.f64 (*.f64 x -2) (/.f64 (/.f64 1 (-.f64 -1 x)) (-.f64 1 (*.f64 x x))) (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x))))
(fma.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (*.f64 x (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x)))))
(fma.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1) (*.f64 x (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x)))))
(fma.f64 (*.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x))))
(fma.f64 (*.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x))) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x))))
(fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x))) 2))) (cbrt.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x)))) (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x))))
(fma.f64 (*.f64 x (sqrt.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x))))) (sqrt.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x)))) (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x))))
(+.f64 0 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x))))) (cbrt.f64 (exp.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x))))) 1)
(*.f64 -2 (/.f64 (/.f64 1 (-.f64 -1 x)) (-.f64 1 (*.f64 x x))))
(*.f64 -2 (*.f64 (/.f64 (/.f64 1 (-.f64 -1 x)) (-.f64 1 (*.f64 x x))) 1))
(*.f64 1 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x))) 1)
(*.f64 (cbrt.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x)))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x))) 2)) (cbrt.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x))) 2)) (*.f64 (cbrt.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x)))) 1))
(*.f64 (sqrt.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x)))) (sqrt.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x)))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x)))) 1))
(*.f64 2 (/.f64 1 (*.f64 (-.f64 1 (*.f64 x x)) (neg.f64 (-.f64 -1 x)))))
(*.f64 (/.f64 (/.f64 1 (-.f64 -1 x)) (-.f64 1 (*.f64 x x))) -2)
(*.f64 (/.f64 -2 (-.f64 -1 x)) (/.f64 1 (-.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(*.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1))
(pow.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x))) 1)
(pow.f64 (pow.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x)))) 2)
(pow.f64 (/.f64 (-.f64 1 (*.f64 x x)) (/.f64 -2 (-.f64 -1 x))) -1)
(sqrt.f64 (pow.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x))) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x))) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x)))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x)))))
(exp.f64 (log.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 -2 (-.f64 -1 x)) (-.f64 1 (*.f64 x x)))) 1))
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x (neg.f64 x)) (-.f64 -1 x)))
(+.f64 (-.f64 -1 x) (*.f64 (-.f64 -1 x) (*.f64 x (neg.f64 x))))
(+.f64 0 (*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x))))
(+.f64 (*.f64 -1 (-.f64 1 (*.f64 x x))) (*.f64 (neg.f64 x) (-.f64 1 (*.f64 x x))))
(+.f64 (*.f64 (-.f64 1 (*.f64 x x)) -1) (*.f64 (-.f64 1 (*.f64 x x)) (neg.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 (*.f64 x x))) (-.f64 -1 x))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 (*.f64 x x))) (-.f64 -1 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 (*.f64 x x))) (-.f64 -1 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 (*.f64 x x))) (-.f64 -1 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 (*.f64 x x))) (-.f64 -1 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x))))) 1)
(/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 2) (+.f64 -1 x))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 x 6))) (*.f64 (+.f64 -1 x) (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))
(/.f64 (*.f64 (-.f64 -1 (pow.f64 x 3)) (-.f64 1 (pow.f64 x 6))) (*.f64 (-.f64 (fma.f64 x x 1) x) (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 x 4))) (*.f64 (+.f64 -1 x) (fma.f64 x x 1)))
(/.f64 (*.f64 (-.f64 -1 (pow.f64 x 3)) (-.f64 1 (pow.f64 x 4))) (*.f64 (-.f64 (fma.f64 x x 1) x) (fma.f64 x x 1)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 6)) (-.f64 1 (*.f64 x x))) (*.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (+.f64 -1 x)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (*.f64 x x))) (*.f64 (fma.f64 x x 1) (+.f64 -1 x)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 6)) (-.f64 -1 (pow.f64 x 3))) (*.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (-.f64 (fma.f64 x x 1) x)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 -1 (pow.f64 x 3))) (*.f64 (fma.f64 x x 1) (-.f64 (fma.f64 x x 1) x)))
(/.f64 (*.f64 (-.f64 -1 (pow.f64 x 3)) (-.f64 1 (*.f64 x x))) (-.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 6)) (-.f64 -1 x)) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 -1 x)) (fma.f64 x x 1))
(/.f64 (*.f64 (-.f64 -1 x) (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (*.f64 (-.f64 -1 x) (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1))
(pow.f64 (*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x))) 1)
(pow.f64 (pow.f64 (*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))) 3)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x))) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 (*.f64 x x))) (-.f64 -1 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x))))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (-.f64 1 (*.f64 x x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) (pow.f64 (-.f64 -1 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))))
(exp.f64 (log.f64 (*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))) 1))
(fma.f64 -1 (-.f64 1 (*.f64 x x)) (*.f64 (neg.f64 x) (-.f64 1 (*.f64 x x))))
(fma.f64 (-.f64 -1 x) 1 (*.f64 (*.f64 x (neg.f64 x)) (-.f64 -1 x)))
(fma.f64 (-.f64 -1 x) 1 (*.f64 (-.f64 -1 x) (*.f64 x (neg.f64 x))))
(fma.f64 1 (-.f64 -1 x) (*.f64 (*.f64 x (neg.f64 x)) (-.f64 -1 x)))
(fma.f64 1 (-.f64 -1 x) (*.f64 (-.f64 -1 x) (*.f64 x (neg.f64 x))))
(fma.f64 (-.f64 1 (*.f64 x x)) -1 (*.f64 (-.f64 1 (*.f64 x x)) (neg.f64 x)))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 -1 x)) (*.f64 (*.f64 x (neg.f64 x)) (-.f64 -1 x)))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 -1 x)) (*.f64 (-.f64 -1 x) (*.f64 x (neg.f64 x))))
(fma.f64 (cbrt.f64 (-.f64 -1 x)) (cbrt.f64 (pow.f64 (-.f64 -1 x) 2)) (*.f64 (*.f64 x (neg.f64 x)) (-.f64 -1 x)))
(fma.f64 (cbrt.f64 (-.f64 -1 x)) (cbrt.f64 (pow.f64 (-.f64 -1 x) 2)) (*.f64 (-.f64 -1 x) (*.f64 x (neg.f64 x))))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 -1 x) 2)) (cbrt.f64 (-.f64 -1 x)) (*.f64 (*.f64 x (neg.f64 x)) (-.f64 -1 x)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 -1 x) 2)) (cbrt.f64 (-.f64 -1 x)) (*.f64 (-.f64 -1 x) (*.f64 x (neg.f64 x))))
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (*.f64 (*.f64 x (neg.f64 x)) (-.f64 -1 x)))
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (*.f64 (-.f64 -1 x) (*.f64 x (neg.f64 x))))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) x)) (*.f64 (*.f64 x (neg.f64 x)) (-.f64 -1 x)))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) x)) (*.f64 (-.f64 -1 x) (*.f64 x (neg.f64 x))))
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)))))
(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)))
(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 6)) (/.f64 -2 (pow.f64 x 4))) (/.f64 -2 (*.f64 x x)))
(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 (/.f64 -2 (pow.f64 x 6)) (/.f64 -2 (pow.f64 x 4))) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 8)))
(/.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 6)) (/.f64 -2 (pow.f64 x 4))) (/.f64 -2 (*.f64 x x)))
(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 (/.f64 -2 (pow.f64 x 6)) (/.f64 -2 (pow.f64 x 4))) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 8)))
2
(+.f64 2 (*.f64 -2 x))
(+.f64 2 (*.f64 x -2))
(fma.f64 x -2 2)
(+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 2 (*.f64 -2 x)))
(fma.f64 4 (*.f64 x x) (+.f64 2 (*.f64 x -2)))
(fma.f64 (*.f64 x x) 4 (fma.f64 x -2 2))
(+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 -4 (pow.f64 x 3)))))
(fma.f64 4 (*.f64 x x) (+.f64 2 (fma.f64 -2 x (*.f64 -4 (pow.f64 x 3)))))
(+.f64 (fma.f64 -4 (pow.f64 x 3) (*.f64 x -2)) (fma.f64 (*.f64 x x) 4 2))
(/.f64 -2 (pow.f64 x 3))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 -2 (pow.f64 x 3)))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (-.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 5))) (/.f64 2 (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 5))) (/.f64 -2 (pow.f64 x 3)))
(+.f64 (/.f64 2 (pow.f64 x 4)) (-.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 4 (pow.f64 x 5))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 4 (pow.f64 x 6)) (-.f64 (-.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 5))) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (-.f64 (/.f64 4 (pow.f64 x 6)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 4 (pow.f64 x 5)))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 4 (pow.f64 x 6)) (-.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 4 (pow.f64 x 5)))))
(/.f64 -2 (pow.f64 x 3))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 -2 (pow.f64 x 3)))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (-.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 5))) (/.f64 2 (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 5))) (/.f64 -2 (pow.f64 x 3)))
(+.f64 (/.f64 2 (pow.f64 x 4)) (-.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 4 (pow.f64 x 5))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 4 (pow.f64 x 6)) (-.f64 (-.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 5))) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (-.f64 (/.f64 4 (pow.f64 x 6)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 4 (pow.f64 x 5)))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 4 (pow.f64 x 6)) (-.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 4 (pow.f64 x 5)))))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
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(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 x 6))) (*.f64 (+.f64 -1 x) (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 x -1)) (/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 x -1)) (/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 (fma.f64 x x 1) (pow.f64 x 4))))
(/.f64 (*.f64 (-.f64 -1 (pow.f64 x 3)) (-.f64 1 (pow.f64 x 6))) (*.f64 (-.f64 (fma.f64 x x 1) x) (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))
(*.f64 (/.f64 (-.f64 -1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x)) (/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))
(/.f64 (/.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 (-.f64 (fma.f64 x x 1) x) (-.f64 1 (pow.f64 x 6)))) (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 x 4))) (*.f64 (+.f64 -1 x) (fma.f64 x x 1)))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 x 4))) (*.f64 (fma.f64 x x 1) (+.f64 x -1)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x x 1)) (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 x -1)))
(/.f64 (*.f64 (-.f64 -1 (pow.f64 x 3)) (-.f64 1 (pow.f64 x 4))) (*.f64 (-.f64 (fma.f64 x x 1) x) (fma.f64 x x 1)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x x 1)) (/.f64 (-.f64 -1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 6)) (-.f64 1 (*.f64 x x))) (*.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (+.f64 -1 x)))
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 x -1)) (/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 x -1)) (/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 (fma.f64 x x 1) (pow.f64 x 4))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (*.f64 x x))) (*.f64 (fma.f64 x x 1) (+.f64 -1 x)))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 x 4))) (*.f64 (fma.f64 x x 1) (+.f64 x -1)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x x 1)) (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 x -1)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 6)) (-.f64 -1 (pow.f64 x 3))) (*.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (-.f64 (fma.f64 x x 1) x)))
(*.f64 (/.f64 (-.f64 -1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x)) (/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4)))))
(/.f64 (/.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 (-.f64 (fma.f64 x x 1) x) (-.f64 1 (pow.f64 x 6)))) (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 -1 (pow.f64 x 3))) (*.f64 (fma.f64 x x 1) (-.f64 (fma.f64 x x 1) x)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (fma.f64 x x 1)) (/.f64 (-.f64 -1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x)))
(/.f64 (*.f64 (-.f64 -1 (pow.f64 x 3)) (-.f64 1 (*.f64 x x))) (-.f64 (fma.f64 x x 1) x))
(/.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 (-.f64 (fma.f64 x x 1) x) (-.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 (fma.f64 x x 1) x)) (-.f64 -1 (pow.f64 x 3)))
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))
(/.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 (-.f64 (fma.f64 x x 1) x) (-.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 (fma.f64 x x 1) x)) (-.f64 -1 (pow.f64 x 3)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 6)) (-.f64 -1 x)) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 -1 x) (/.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (-.f64 1 (pow.f64 x 6))))
(/.f64 (*.f64 (-.f64 -1 x) (-.f64 1 (pow.f64 x 6))) (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 -1 x)) (fma.f64 x x 1))
(/.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 (fma.f64 x x 1) (-.f64 -1 x)))
(*.f64 (/.f64 (-.f64 -1 x) (fma.f64 x x 1)) (-.f64 1 (pow.f64 x 4)))
(/.f64 (*.f64 (-.f64 -1 x) (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 -1 x) (/.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (-.f64 1 (pow.f64 x 6))))
(/.f64 (*.f64 (-.f64 -1 x) (-.f64 1 (pow.f64 x 6))) (+.f64 (fma.f64 x x 1) (pow.f64 x 4)))
(/.f64 (*.f64 (-.f64 -1 x) (-.f64 1 (pow.f64 x 4))) (fma.f64 x x 1))
(/.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 (fma.f64 x x 1) (-.f64 -1 x)))
(*.f64 (/.f64 (-.f64 -1 x) (fma.f64 x x 1)) (-.f64 1 (pow.f64 x 4)))
(pow.f64 (*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x))) 1)
(*.f64 (+.f64 (neg.f64 (*.f64 x x)) 1) (-.f64 -1 x))
(*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))
(pow.f64 (pow.f64 (*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x))) 3) 1/3)
(*.f64 (+.f64 (neg.f64 (*.f64 x x)) 1) (-.f64 -1 x))
(*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))) 3)
(*.f64 (+.f64 (neg.f64 (*.f64 x x)) 1) (-.f64 -1 x))
(*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))) 2)
(*.f64 (+.f64 (neg.f64 (*.f64 x x)) 1) (-.f64 -1 x))
(*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x))) 2))
(*.f64 (+.f64 (neg.f64 (*.f64 x x)) 1) (-.f64 -1 x))
(*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 (*.f64 x x))) (-.f64 -1 x)))
(*.f64 (+.f64 (neg.f64 (*.f64 x x)) 1) (-.f64 -1 x))
(*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x))))))
(*.f64 (+.f64 (neg.f64 (*.f64 x x)) 1) (-.f64 -1 x))
(*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x))) 3))
(*.f64 (+.f64 (neg.f64 (*.f64 x x)) 1) (-.f64 -1 x))
(*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (-.f64 1 (*.f64 x x)) 3)))
(*.f64 (+.f64 (neg.f64 (*.f64 x x)) 1) (-.f64 -1 x))
(*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) (pow.f64 (-.f64 -1 x) 3)))
(*.f64 (+.f64 (neg.f64 (*.f64 x x)) 1) (-.f64 -1 x))
(*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))))
(*.f64 (+.f64 (neg.f64 (*.f64 x x)) 1) (-.f64 -1 x))
(*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))))
(*.f64 (+.f64 (neg.f64 (*.f64 x x)) 1) (-.f64 -1 x))
(*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))
(exp.f64 (log.f64 (*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))))
(*.f64 (+.f64 (neg.f64 (*.f64 x x)) 1) (-.f64 -1 x))
(*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))) 1))
(*.f64 (+.f64 (neg.f64 (*.f64 x x)) 1) (-.f64 -1 x))
(*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))
(fma.f64 -1 (-.f64 1 (*.f64 x x)) (*.f64 (neg.f64 x) (-.f64 1 (*.f64 x x))))
(*.f64 (+.f64 (neg.f64 (*.f64 x x)) 1) (-.f64 -1 x))
(*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))
(fma.f64 (-.f64 -1 x) 1 (*.f64 (*.f64 x (neg.f64 x)) (-.f64 -1 x)))
(*.f64 (+.f64 (neg.f64 (*.f64 x x)) 1) (-.f64 -1 x))
(*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))
(fma.f64 (-.f64 -1 x) 1 (*.f64 (-.f64 -1 x) (*.f64 x (neg.f64 x))))
(*.f64 (+.f64 (neg.f64 (*.f64 x x)) 1) (-.f64 -1 x))
(*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))
(fma.f64 1 (-.f64 -1 x) (*.f64 (*.f64 x (neg.f64 x)) (-.f64 -1 x)))
(*.f64 (+.f64 (neg.f64 (*.f64 x x)) 1) (-.f64 -1 x))
(*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))
(fma.f64 1 (-.f64 -1 x) (*.f64 (-.f64 -1 x) (*.f64 x (neg.f64 x))))
(*.f64 (+.f64 (neg.f64 (*.f64 x x)) 1) (-.f64 -1 x))
(*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))
(fma.f64 (-.f64 1 (*.f64 x x)) -1 (*.f64 (-.f64 1 (*.f64 x x)) (neg.f64 x)))
(*.f64 (+.f64 (neg.f64 (*.f64 x x)) 1) (-.f64 -1 x))
(*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 -1 x)) (*.f64 (*.f64 x (neg.f64 x)) (-.f64 -1 x)))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x -1)) (*.f64 (-.f64 -1 x) (neg.f64 (*.f64 x x))))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x -1)) (*.f64 x (*.f64 x (+.f64 x 1))))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 -1 x)) (*.f64 (-.f64 -1 x) (*.f64 x (neg.f64 x))))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x -1)) (*.f64 (-.f64 -1 x) (neg.f64 (*.f64 x x))))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x -1)) (*.f64 x (*.f64 x (+.f64 x 1))))
(fma.f64 (cbrt.f64 (-.f64 -1 x)) (cbrt.f64 (pow.f64 (-.f64 -1 x) 2)) (*.f64 (*.f64 x (neg.f64 x)) (-.f64 -1 x)))
(fma.f64 (cbrt.f64 (-.f64 -1 x)) (cbrt.f64 (pow.f64 (-.f64 -1 x) 2)) (*.f64 (-.f64 -1 x) (neg.f64 (*.f64 x x))))
(fma.f64 (cbrt.f64 (-.f64 -1 x)) (cbrt.f64 (pow.f64 (-.f64 -1 x) 2)) (*.f64 x (*.f64 x (+.f64 x 1))))
(fma.f64 (cbrt.f64 (-.f64 -1 x)) (cbrt.f64 (pow.f64 (-.f64 -1 x) 2)) (*.f64 (-.f64 -1 x) (*.f64 x (neg.f64 x))))
(fma.f64 (cbrt.f64 (-.f64 -1 x)) (cbrt.f64 (pow.f64 (-.f64 -1 x) 2)) (*.f64 (-.f64 -1 x) (neg.f64 (*.f64 x x))))
(fma.f64 (cbrt.f64 (-.f64 -1 x)) (cbrt.f64 (pow.f64 (-.f64 -1 x) 2)) (*.f64 x (*.f64 x (+.f64 x 1))))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 -1 x) 2)) (cbrt.f64 (-.f64 -1 x)) (*.f64 (*.f64 x (neg.f64 x)) (-.f64 -1 x)))
(fma.f64 (cbrt.f64 (-.f64 -1 x)) (cbrt.f64 (pow.f64 (-.f64 -1 x) 2)) (*.f64 (-.f64 -1 x) (neg.f64 (*.f64 x x))))
(fma.f64 (cbrt.f64 (-.f64 -1 x)) (cbrt.f64 (pow.f64 (-.f64 -1 x) 2)) (*.f64 x (*.f64 x (+.f64 x 1))))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 -1 x) 2)) (cbrt.f64 (-.f64 -1 x)) (*.f64 (-.f64 -1 x) (*.f64 x (neg.f64 x))))
(fma.f64 (cbrt.f64 (-.f64 -1 x)) (cbrt.f64 (pow.f64 (-.f64 -1 x) 2)) (*.f64 (-.f64 -1 x) (neg.f64 (*.f64 x x))))
(fma.f64 (cbrt.f64 (-.f64 -1 x)) (cbrt.f64 (pow.f64 (-.f64 -1 x) 2)) (*.f64 x (*.f64 x (+.f64 x 1))))
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (*.f64 (*.f64 x (neg.f64 x)) (-.f64 -1 x)))
(*.f64 (+.f64 (neg.f64 (*.f64 x x)) 1) (-.f64 -1 x))
(*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (*.f64 (-.f64 -1 x) (*.f64 x (neg.f64 x))))
(*.f64 (+.f64 (neg.f64 (*.f64 x x)) 1) (-.f64 -1 x))
(*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) x)) (*.f64 (*.f64 x (neg.f64 x)) (-.f64 -1 x)))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) x)) (*.f64 (-.f64 -1 x) (neg.f64 (*.f64 x x))))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) x)) (*.f64 x (*.f64 x (+.f64 x 1))))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) x)) (*.f64 (-.f64 -1 x) (*.f64 x (neg.f64 x))))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) x)) (*.f64 (-.f64 -1 x) (neg.f64 (*.f64 x x))))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) x)) (*.f64 x (*.f64 x (+.f64 x 1))))

localize13.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 11 to 8 computations (27.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite61.0ms (1.2%)

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 -2 (pow.f64 x -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))))))))

simplify58.0ms (1.2%)

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))

eval456.0ms (9.4%)

Compiler

Compiled 12117 to 8911 computations (26.5% saved)

prune164.0ms (3.4%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New6592661
Fresh101
Picked011
Done246
Total6627669
Error
0b
Counts
669 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
30.1b
(*.f64 -2 (pow.f64 x -2))
5.2b
(*.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))) (+.f64 x 1))
30.5b
(/.f64 -2 (*.f64 x x))
0.4b
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
30.2b
(/.f64 (/.f64 -2 x) x)
33.2b
2
0.4b
(/.f64 -2 (+.f64 (*.f64 x x) -1))
Compiler

Compiled 54 to 41 computations (24.1% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (/.f64 -2 x) x)
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
1.0ms
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)

rewrite66.0ms (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))))))))

simplify74.0ms (1.5%)

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))

eval18.0ms (0.4%)

Compiler

Compiled 380 to 254 computations (33.2% saved)

prune15.0ms (0.3%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New38038
Fresh011
Picked011
Done055
Total38745
Error
0b
Counts
45 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
30.1b
(*.f64 -2 (pow.f64 x -2))
5.2b
(*.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))) (+.f64 x 1))
30.5b
(/.f64 -2 (*.f64 x x))
0.4b
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
30.2b
(/.f64 (/.f64 -2 x) x)
33.2b
2
0.4b
(/.f64 -2 (+.f64 (*.f64 x x) -1))
Compiler

Compiled 54 to 41 computations (24.1% saved)

regimes36.0ms (0.7%)

Counts
13 → 1
Calls
Call 1
Inputs
2
2
2
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (+.f64 (*.f64 x x) -1))
(*.f64 (/.f64 -2 x) (/.f64 1 x))
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(*.f64 (/.f64 (/.f64 1 (-.f64 1 x)) (-.f64 -1 x)) -2)
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
(*.f64 (/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))) (+.f64 x 1))
(*.f64 -2 (pow.f64 x -2))
(/.f64 -2 (fma.f64 x x -1))
Outputs
(*.f64 (/.f64 (/.f64 1 (-.f64 1 x)) (-.f64 -1 x)) -2)
Calls

3 calls:

17.0ms
x
7.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
6.0ms
(-.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)))
0.1b1(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 111 to 83 computations (25.2% saved)

regimes15.0ms (0.3%)

Counts
8 → 1
Calls
Call 1
Inputs
2
2
2
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (+.f64 (*.f64 x x) -1))
(*.f64 (/.f64 -2 x) (/.f64 1 x))
(/.f64 -2 (*.f64 (-.f64 -1 x) (-.f64 1 x)))
Outputs
(/.f64 -2 (+.f64 (*.f64 x x) -1))
Calls

1 calls:

11.0ms
x
Results
ErrorSegmentsBranch
0.4b1x
Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes30.0ms (0.6%)

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

1 calls:

27.0ms
x
Results
ErrorSegmentsBranch
0.4b3x
Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch50.0ms (1%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
0.0048271919724374775
127056003.8063558
29.0ms
-16375921.992846377
-7.310283834962468e-7
Results
45.0ms320×body256valid
Compiler

Compiled 216 to 173 computations (19.9% saved)

regimes5.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
3 → 1
Calls
Call 1
Inputs
2
2
2
Outputs
2
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
33.2b1x
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify6.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02154
12854
23254
33454
43554
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 1 (-.f64 1 x)) (-.f64 -1 x)) -2)
(/.f64 -2 (+.f64 (*.f64 x x) -1))
(if (<=.f64 x -1) (/.f64 (/.f64 -2 x) x) (if (<=.f64 x 1) 2 (/.f64 (/.f64 -2 x) x)))
2
Outputs
(*.f64 (/.f64 (/.f64 1 (-.f64 1 x)) (-.f64 -1 x)) -2)
(/.f64 -2 (+.f64 (*.f64 x x) -1))
(/.f64 -2 (+.f64 -1 (*.f64 x x)))
(if (<=.f64 x -1) (/.f64 (/.f64 -2 x) x) (if (<=.f64 x 1) 2 (/.f64 (/.f64 -2 x) x)))
2
Compiler

Compiled 42 to 32 computations (23.8% saved)

soundness175.0ms (3.6%)

Algorithm
egg-herbie
Rules
475×fma-neg_binary64
377×div-sub_binary64
359×unswap-sqr_binary64
338×cancel-sign-sub-inv_binary64
243×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04755859
112355179
238634470
Stop Event
node limit
Compiler

Compiled 1839 to 1413 computations (23.2% saved)

end41.0ms (0.8%)

Compiler

Compiled 39 to 29 computations (25.6% saved)

Profiling

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