Details

Time bar (total: 3.9s)

analyze3.0ms (0.1%)

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

Compiled 13 to 11 computations (15.4% saved)

sample2.2s (57.4%)

Results
1.0s2093×body512valid
1.0s5779×body256valid
180.0ms384×body1024valid
Bogosity

preprocess23.0ms (0.6%)

Algorithm
2×egg-herbie
Rules
80×fma-def
44×associate--r+
36×associate-+l-
34×+-commutative
24×associate--l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0931
11831
22331
33231
44231
56031
611131
714931
819331
923331
1025731
1125931
011
Stop Event
1×saturated
1×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)

simplify21.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
80×fma-def
44×associate--r+
36×associate-+l-
34×+-commutative
24×associate--l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0931
11831
22331
33231
44231
56031
611131
714931
819331
923331
1025731
1125931
Stop Event
1×saturated
Counts
1 → 3
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
Outputs
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))

eval1.0ms (0%)

Compiler

Compiled 34 to 28 computations (17.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New213
Fresh011
Picked000
Done000
Total224
Error
13.7b
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)

localize14.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (+.f64 x 1))
✓0.0b
(/.f64 1 (-.f64 x 1))
✓2.1b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 30 to 23 computations (23.3% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite102.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
1418×associate-/r*
1102×associate-/r/
976×*-commutative
778×distribute-lft-in
734×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0957
121257
2309553
Stop Event
1×node limit
Counts
3 → 248
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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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 x))))))))

simplify127.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
834×*-commutative
808×distribute-lft-in
700×distribute-rgt-in
628×associate-*r*
616×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
066413728
1209212908
Stop Event
1×node limit
Counts
284 → 481
Calls
Call 1
Inputs
2
(+.f64 (*.f64 2 (pow.f64 x 2)) 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))))
(/.f64 -2 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(/.f64 -2 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
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)))
(-.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 (/.f64 1 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (-.f64 1 x)) (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (+.f64 x -1)))))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (-.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (+.f64 x -1) -1/2)) (pow.f64 (+.f64 x -1) -1/2) (/.f64 1 (+.f64 x -1)))))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (-.f64 1 x)) (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 x (-.f64 -2 x)) (fma.f64 x x -1)) (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (+.f64 x -1))))
(+.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)) (fma.f64 (neg.f64 (pow.f64 (+.f64 x -1) -1/2)) (pow.f64 (+.f64 x -1) -1/2) (/.f64 1 (+.f64 x -1))))
(+.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1)))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1))))
(+.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)) (+.f64 (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (+.f64 x -1))) (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (+.f64 x -1)))))
(+.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 x -1) -1/2)) (pow.f64 (+.f64 x -1) -1/2) (/.f64 1 (+.f64 x -1))) (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (+.f64 x -1)))))
(+.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)) (+.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1)))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1))) (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (+.f64 x -1)))))
(+.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)) (+.f64 (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (+.f64 x -1))) (fma.f64 (neg.f64 (pow.f64 (+.f64 x -1) -1/2)) (pow.f64 (+.f64 x -1) -1/2) (/.f64 1 (+.f64 x -1)))))
(+.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 x -1) -1/2)) (pow.f64 (+.f64 x -1) -1/2) (/.f64 1 (+.f64 x -1))) (fma.f64 (neg.f64 (pow.f64 (+.f64 x -1) -1/2)) (pow.f64 (+.f64 x -1) -1/2) (/.f64 1 (+.f64 x -1)))))
(+.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)) (+.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1)))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1))) (fma.f64 (neg.f64 (pow.f64 (+.f64 x -1) -1/2)) (pow.f64 (+.f64 x -1) -1/2) (/.f64 1 (+.f64 x -1)))))
(+.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)) (+.f64 (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.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 x (-.f64 -2 x)) (fma.f64 x x -1)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 x -1) -1/2)) (pow.f64 (+.f64 x -1) -1/2) (/.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 x (-.f64 -2 x)) (fma.f64 x x -1)) (+.f64 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1)))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1))) (fma.f64 (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 x (-.f64 -2 x)) (fma.f64 x x -1)) (*.f64 1 (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (+.f64 x -1)))))
(+.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)) (*.f64 1 (fma.f64 (neg.f64 (pow.f64 (+.f64 x -1) -1/2)) (pow.f64 (+.f64 x -1) -1/2) (/.f64 1 (+.f64 x -1)))))
(+.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)) (*.f64 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 1 (-.f64 1 x)) (/.f64 1 (+.f64 1 x)))
(+.f64 (/.f64 1 (-.f64 1 x)) (+.f64 (/.f64 1 (+.f64 1 x)) (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (+.f64 x -1)))))
(+.f64 (/.f64 1 (-.f64 1 x)) (+.f64 (/.f64 1 (+.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (+.f64 x -1) -1/2)) (pow.f64 (+.f64 x -1) -1/2) (/.f64 1 (+.f64 x -1)))))
(+.f64 (/.f64 1 (-.f64 1 x)) (+.f64 (/.f64 1 (+.f64 1 x)) (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 (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (+.f64 x -1))) (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 x -1) -1/2)) (pow.f64 (+.f64 x -1) -1/2) (/.f64 1 (+.f64 x -1))) (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)))
(+.f64 (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 x (-.f64 -2 x)) (fma.f64 x x -1)))
(+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))))) 1)
(*.f64 1 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)))
(*.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)) 1)
(*.f64 (sqrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1))) (sqrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1))) 2) (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 x -1) -2)) (*.f64 (/.f64 1 (+.f64 x x)) (fma.f64 x x -1)))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x -1) -2) (+.f64 (/.f64 1 (fma.f64 x x -1)) (pow.f64 (+.f64 1 x) -2)))))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x (-.f64 -2 x)))
(*.f64 (+.f64 x (-.f64 -2 x)) (/.f64 1 (fma.f64 x x -1)))
(*.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))
(*.f64 (+.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 1 x) -1/2)) (-.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 x -1) -1/2)))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 x -1) -1/2)) (+.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (*.f64 (/.f64 1 (+.f64 x x)) (fma.f64 x x -1)) (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 x -1) -2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x -1) -2) (+.f64 (/.f64 1 (fma.f64 x x -1)) (pow.f64 (+.f64 1 x) -2)))) (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3)))
(*.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 1 x)) (sqrt.f64 (+.f64 x -1))) (pow.f64 (+.f64 x -1) -1/2))
(*.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))))
(*.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 1 x)) (fma.f64 x x -1)) (+.f64 1 x))
(*.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 1 x)) (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (+.f64 1 x)))
(*.f64 (/.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 1 x)) (+.f64 -1 (pow.f64 x 3))) (+.f64 (*.f64 x x) (-.f64 1 (*.f64 x -1))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 x -1) -2)) (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 x -1) -2))) (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 x -1) -2)) (+.f64 x x)) (fma.f64 x x -1))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 x -1) -2)) (+.f64 x x)) (*.f64 (-.f64 -1 x) (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 x -1) -2)) (+.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3))) (+.f64 (pow.f64 (+.f64 1 x) -2) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 1 (fma.f64 x x -1)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 x -1) -2)) (+.f64 (-.f64 -1 x) (-.f64 1 x))) (*.f64 (+.f64 1 x) (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 x -1) -2)) (+.f64 (-.f64 -1 x) (-.f64 1 x))) (*.f64 (+.f64 x -1) (-.f64 -1 x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3)) (-.f64 (*.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 1 x) -2)) (*.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 1 (fma.f64 x x -1))) (+.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 1 (fma.f64 x x -1)))))) (-.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 1 (fma.f64 x x -1)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 x -1) -3)) (+.f64 (pow.f64 (pow.f64 (+.f64 1 x) -2) 3) (pow.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 1 (fma.f64 x x -1))) 3))) (+.f64 (*.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 1 x) -2)) (-.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 1 (fma.f64 x x -1))) (+.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 1 (fma.f64 x x -1)))) (*.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 1 (fma.f64 x x -1)))))))
(*.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (*.f64 (fma.f64 x x -1) (fma.f64 x x -1))) (fma.f64 x x -1))
(*.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (*.f64 (+.f64 1 x) (fma.f64 x x -1))) (+.f64 1 x))
(*.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (*.f64 (+.f64 1 x) (+.f64 -1 (pow.f64 x 3)))) (fma.f64 x x (+.f64 1 x)))
(*.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (*.f64 (+.f64 x -1) (fma.f64 x x -1))) (+.f64 x -1))
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(*.f64 (/.f64 (+.f64 1 x) (*.f64 (+.f64 x -1) (+.f64 1 (pow.f64 x 3)))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 1)) (+.f64 1 (*.f64 x x)))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 (pow.f64 (*.f64 x x) 3) 1)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (+.f64 1 x) (*.f64 (fma.f64 x x -1) (+.f64 -1 (pow.f64 x 3)))) (*.f64 (+.f64 x -1) (fma.f64 x x (+.f64 1 x))))
(*.f64 (/.f64 (+.f64 1 x) (*.f64 (fma.f64 x x -1) (+.f64 1 (pow.f64 x 3)))) (*.f64 (+.f64 1 x) (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 1 x) (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 -1 (pow.f64 x 3)))) (*.f64 (fma.f64 x x (-.f64 1 x)) (fma.f64 x x (+.f64 1 x))))
(pow.f64 (+.f64 x -1) -1)
(pow.f64 (/.f64 1 (+.f64 x -1)) 1)
(pow.f64 (pow.f64 (+.f64 x -1) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) 3)
(pow.f64 (pow.f64 (+.f64 x -1) -3) 1/3)
(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))))
(exp.f64 (neg.f64 (log.f64 (+.f64 x -1))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))))
(+.f64 (*.f64 (/.f64 1 (fma.f64 x x -1)) x) (*.f64 (/.f64 1 (fma.f64 x x -1)) -1))
(+.f64 (*.f64 (/.f64 1 (fma.f64 x x -1)) -1) (*.f64 (/.f64 1 (fma.f64 x x -1)) x))
(+.f64 (*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (*.f64 x x)) (*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (-.f64 1 x)))
(+.f64 (*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (-.f64 1 x)) (*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (*.f64 x 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 (+.f64 x -1) (/.f64 1 (fma.f64 x x -1)))
(*.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2))
(*.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 -1 (/.f64 1 (-.f64 -1 x)))
(*.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 1 (+.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 -1 (cbrt.f64 (-.f64 -1 x))))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 1 (-.f64 -1 x)) -1)
(*.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) -1))
(*.f64 (/.f64 1 (neg.f64 (fma.f64 x x -1))) (-.f64 1 x))
(*.f64 (/.f64 -1 (neg.f64 (fma.f64 x x -1))) (+.f64 x -1))
(*.f64 (/.f64 (fma.f64 x x (-.f64 1 x)) (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) 1)) (+.f64 -1 (pow.f64 x 3)))
(*.f64 (/.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 1 (pow.f64 (pow.f64 x 3) 3))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (-.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 1 (/.f64 (fma.f64 x x -1) (sqrt.f64 (+.f64 x -1)))) (sqrt.f64 (+.f64 x -1)))
(*.f64 (/.f64 1 (/.f64 (fma.f64 x x -1) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2))) (cbrt.f64 (+.f64 x -1)))
(*.f64 (/.f64 1 (neg.f64 (+.f64 1 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(*.f64 (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x -1)))
(*.f64 (/.f64 -1 (neg.f64 (+.f64 1 (pow.f64 x 3)))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 x -1)))
(*.f64 (/.f64 (+.f64 x -1) (*.f64 (fma.f64 x x -1) (fma.f64 x x -1))) (fma.f64 x x -1))
(*.f64 (/.f64 (+.f64 x -1) (*.f64 (+.f64 1 x) (fma.f64 x x -1))) (+.f64 1 x))
(*.f64 (/.f64 (+.f64 x -1) (*.f64 (+.f64 1 x) (+.f64 -1 (pow.f64 x 3)))) (fma.f64 x x (+.f64 1 x)))
(*.f64 (/.f64 (+.f64 x -1) (*.f64 (+.f64 x -1) (fma.f64 x x -1))) (+.f64 x -1))
(*.f64 (/.f64 (+.f64 x -1) (*.f64 (+.f64 x -1) (+.f64 1 (pow.f64 x 3)))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 x -1) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 1)) (+.f64 1 (*.f64 x x)))
(*.f64 (/.f64 (+.f64 x -1) (-.f64 (pow.f64 (*.f64 x x) 3) 1)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (+.f64 x -1) (*.f64 (fma.f64 x x -1) (+.f64 -1 (pow.f64 x 3)))) (*.f64 (+.f64 x -1) (fma.f64 x x (+.f64 1 x))))
(*.f64 (/.f64 (+.f64 x -1) (*.f64 (fma.f64 x x -1) (+.f64 1 (pow.f64 x 3)))) (*.f64 (+.f64 1 x) (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 x -1) (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 -1 (pow.f64 x 3)))) (*.f64 (fma.f64 x x (-.f64 1 x)) (fma.f64 x x (+.f64 1 x))))
(pow.f64 (+.f64 1 x) -1)
(pow.f64 (/.f64 1 (+.f64 1 x)) 1)
(pow.f64 (pow.f64 (+.f64 1 x) -1/2) 2)
(pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 -1 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 x) -3) 1/3)
(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))))
(exp.f64 (neg.f64 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 x))))
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)))
(+.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)))))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 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 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6)))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 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))))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.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)) (fma.f64 -1 x -1))
(neg.f64 (fma.f64 x x (+.f64 x 1)))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (fma.f64 -1 (pow.f64 x 3) (*.f64 -1 (+.f64 (*.f64 x x) x))) -1)
(+.f64 -1 (-.f64 (neg.f64 (+.f64 x (*.f64 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 (/.f64 1 (*.f64 x x)) (/.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 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.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 (/.f64 1 (*.f64 x x)) (/.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 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))))
1
(+.f64 1 (*.f64 -1 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 (-.f64 1 x) (*.f64 x x))
(fma.f64 x x (-.f64 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 (-.f64 1 x) (*.f64 x x)))
(-.f64 (fma.f64 x x (-.f64 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 (/.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 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 (/.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 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (-.f64 1 x)) (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (+.f64 x -1)))))
(+.f64 (/.f64 1 (+.f64 x 1)) (+.f64 (/.f64 1 (-.f64 1 x)) (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (+.f64 x -1)))))
(+.f64 (/.f64 1 (+.f64 x 1)) (+.f64 (+.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (-.f64 1 x))) (/.f64 1 (+.f64 x -1))))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (-.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (+.f64 x -1) -1/2)) (pow.f64 (+.f64 x -1) -1/2) (/.f64 1 (+.f64 x -1)))))
(+.f64 (/.f64 1 (+.f64 x 1)) (+.f64 (/.f64 1 (-.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (+.f64 x -1) -1/2)) (pow.f64 (+.f64 x -1) -1/2) (/.f64 1 (+.f64 x -1)))))
(+.f64 (/.f64 1 (-.f64 1 x)) (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) (/.f64 1 (+.f64 x -1))))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (-.f64 1 x)) (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 1 (+.f64 x 1)) (+.f64 (/.f64 1 (-.f64 1 x)) (fma.f64 (/.f64 -1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1)))))
(+.f64 (fma.f64 (/.f64 -1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 1 x))))
(+.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)) (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (+.f64 x -1))))
(+.f64 (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (+.f64 x -1))) (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)))
(+.f64 (/.f64 1 (-.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1))))
(+.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)) (fma.f64 (neg.f64 (pow.f64 (+.f64 x -1) -1/2)) (pow.f64 (+.f64 x -1) -1/2) (/.f64 1 (+.f64 x -1))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 x -1) -1/2)) (pow.f64 (+.f64 x -1) -1/2) (/.f64 1 (+.f64 x -1))) (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)))
(+.f64 (neg.f64 (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1))))
(+.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1)))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1))))
(+.f64 (fma.f64 (/.f64 -1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1))) (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)))
(+.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x x -1)) (+.f64 (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (+.f64 x -1))) (fma.f64 (/.f64 1 (-.f64 1 x)) 1 (/.f64 1 (+.f64 x -1)))))
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(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))))
(/.f64 1 (+.f64 x -1))
(+.f64 (*.f64 (/.f64 1 (fma.f64 x x -1)) x) (*.f64 (/.f64 1 (fma.f64 x x -1)) -1))
(*.f64 (+.f64 x -1) (/.f64 1 (fma.f64 x x -1)))
(/.f64 (+.f64 x -1) (fma.f64 x x -1))
(+.f64 (*.f64 (/.f64 1 (fma.f64 x x -1)) -1) (*.f64 (/.f64 1 (fma.f64 x x -1)) x))
(*.f64 (+.f64 x -1) (/.f64 1 (fma.f64 x x -1)))
(/.f64 (+.f64 x -1) (fma.f64 x x -1))
(+.f64 (*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (*.f64 x x)) (*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (-.f64 1 x)))
(*.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 1 (+.f64 1 (pow.f64 x 3))))
(/.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 1 (pow.f64 x 3)))
(+.f64 (*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (-.f64 1 x)) (*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (*.f64 x x)))
(*.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 1 (+.f64 1 (pow.f64 x 3))))
(/.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 1 (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 x)))) 1)
(/.f64 1 (+.f64 x 1))
(*.f64 1 (/.f64 1 (+.f64 1 x)))
(/.f64 1 (+.f64 x 1))
(*.f64 (/.f64 1 (+.f64 1 x)) 1)
(/.f64 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 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2))
(/.f64 1 (+.f64 x 1))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 -1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2)) (/.f64 -1 (cbrt.f64 (-.f64 -1 x))))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2))) (cbrt.f64 (-.f64 -1 x)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 -1 (cbrt.f64 (-.f64 -1 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2)) (/.f64 -1 (cbrt.f64 (-.f64 -1 x))))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -2))) (cbrt.f64 (-.f64 -1 x)))
(*.f64 -1 (/.f64 1 (-.f64 -1 x)))
(/.f64 -1 (-.f64 -1 x))
(*.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 1 (+.f64 1 (pow.f64 x 3))))
(/.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 1 (pow.f64 x 3)))
(*.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 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 -1 (cbrt.f64 (-.f64 -1 x))))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 -1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))
(/.f64 (/.f64 -1 (cbrt.f64 (-.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 1 (+.f64 1 (pow.f64 x 3))))
(/.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 1 (-.f64 -1 x)) -1)
(/.f64 -1 (-.f64 -1 x))
(*.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1))
(pow.f64 (hypot.f64 1 (sqrt.f64 x)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 1 (cbrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 1 (/.f64 1 (cbrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 1 (cbrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 1 (/.f64 1 (cbrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))
(*.f64 (/.f64 1 (neg.f64 (fma.f64 x x -1))) (-.f64 1 x))
(*.f64 (+.f64 x -1) (/.f64 1 (fma.f64 x x -1)))
(/.f64 (+.f64 x -1) (fma.f64 x x -1))
(*.f64 (/.f64 -1 (neg.f64 (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 (/.f64 (fma.f64 x x (-.f64 1 x)) (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) 1)) (+.f64 -1 (pow.f64 x 3)))
(/.f64 (*.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 -1 (pow.f64 x 3))) (+.f64 (pow.f64 x 6) -1))
(*.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 -1 (pow.f64 x 6))))
(*.f64 (/.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 1 (pow.f64 (pow.f64 x 3) 3))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (-.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 1 (pow.f64 (pow.f64 x 3) 3))) (+.f64 (-.f64 1 (pow.f64 x 3)) (pow.f64 x 6)))
(/.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 (+.f64 1 (*.f64 x (pow.f64 x 8))) (+.f64 (-.f64 1 (pow.f64 x 3)) (pow.f64 x 6))))
(*.f64 (/.f64 1 (/.f64 (fma.f64 x x -1) (sqrt.f64 (+.f64 x -1)))) (sqrt.f64 (+.f64 x -1)))
(*.f64 (+.f64 x -1) (/.f64 1 (fma.f64 x x -1)))
(/.f64 (+.f64 x -1) (fma.f64 x x -1))
(*.f64 (/.f64 1 (/.f64 (fma.f64 x x -1) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2))) (cbrt.f64 (+.f64 x -1)))
(*.f64 (+.f64 x -1) (/.f64 1 (fma.f64 x x -1)))
(/.f64 (+.f64 x -1) (fma.f64 x x -1))
(*.f64 (/.f64 1 (neg.f64 (+.f64 1 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (-.f64 1 x))))
(*.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 1 (+.f64 1 (pow.f64 x 3))))
(/.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(*.f64 (+.f64 x -1) (/.f64 1 (fma.f64 x x -1)))
(/.f64 (+.f64 x -1) (fma.f64 x x -1))
(*.f64 (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (+.f64 x 1) -1/2) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 (pow.f64 (+.f64 x 1) -1/2) (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (/.f64 -1 (neg.f64 (+.f64 1 (pow.f64 x 3)))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 1 (+.f64 1 (pow.f64 x 3))))
(/.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 1 (pow.f64 x 3))))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 x -1)))
(*.f64 (cbrt.f64 (+.f64 x -1)) (/.f64 1 (*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))))
(/.f64 (cbrt.f64 (+.f64 x -1)) (*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (/.f64 (+.f64 x -1) (*.f64 (fma.f64 x x -1) (fma.f64 x x -1))) (fma.f64 x x -1))
(*.f64 (fma.f64 x x -1) (/.f64 (/.f64 (+.f64 x -1) (fma.f64 x x -1)) (fma.f64 x x -1)))
(*.f64 (/.f64 (+.f64 x -1) (*.f64 (+.f64 1 x) (fma.f64 x x -1))) (+.f64 1 x))
(*.f64 (+.f64 x -1) (/.f64 1 (fma.f64 x x -1)))
(/.f64 (+.f64 x -1) (fma.f64 x x -1))
(*.f64 (/.f64 (+.f64 x -1) (*.f64 (+.f64 1 x) (+.f64 -1 (pow.f64 x 3)))) (fma.f64 x x (+.f64 1 x)))
(*.f64 (fma.f64 x x (+.f64 x 1)) (/.f64 (+.f64 x -1) (*.f64 (+.f64 x 1) (+.f64 -1 (pow.f64 x 3)))))
(*.f64 (fma.f64 x x (+.f64 x 1)) (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (+.f64 -1 (pow.f64 x 3))))
(*.f64 (/.f64 (+.f64 x -1) (*.f64 (+.f64 x -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 (/.f64 (+.f64 x -1) (*.f64 (+.f64 x -1) (+.f64 1 (pow.f64 x 3)))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 1 (+.f64 1 (pow.f64 x 3))))
(/.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 (+.f64 x -1) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 1)) (+.f64 1 (*.f64 x x)))
(*.f64 (+.f64 1 (*.f64 x x)) (/.f64 (+.f64 x -1) (+.f64 (pow.f64 x 4) -1)))
(/.f64 (+.f64 x -1) (/.f64 (+.f64 -1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (+.f64 x -1) (-.f64 (pow.f64 (*.f64 x x) 3) 1)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 1 (*.f64 x x))))
(*.f64 (+.f64 (pow.f64 x 4) (+.f64 1 (*.f64 x x))) (/.f64 (+.f64 x -1) (+.f64 (pow.f64 x 6) -1)))
(*.f64 (+.f64 (pow.f64 x 4) (+.f64 1 (*.f64 x x))) (/.f64 (+.f64 x -1) (+.f64 -1 (pow.f64 x 6))))
(*.f64 (/.f64 (+.f64 x -1) (*.f64 (fma.f64 x x -1) (+.f64 -1 (pow.f64 x 3)))) (*.f64 (+.f64 x -1) (fma.f64 x x (+.f64 1 x))))
(*.f64 (*.f64 (+.f64 x -1) (fma.f64 x x (+.f64 x 1))) (/.f64 (+.f64 x -1) (*.f64 (fma.f64 x x -1) (+.f64 -1 (pow.f64 x 3)))))
(/.f64 (/.f64 (*.f64 (pow.f64 (+.f64 x -1) 2) (fma.f64 x x (+.f64 x 1))) (fma.f64 x x -1)) (+.f64 -1 (pow.f64 x 3)))
(*.f64 (/.f64 (+.f64 x -1) (*.f64 (fma.f64 x x -1) (+.f64 1 (pow.f64 x 3)))) (*.f64 (+.f64 1 x) (fma.f64 x x (-.f64 1 x))))
(*.f64 (*.f64 (/.f64 (/.f64 (+.f64 x -1) (fma.f64 x x -1)) (+.f64 1 (pow.f64 x 3))) (+.f64 x 1)) (fma.f64 x x (-.f64 1 x)))
(*.f64 (+.f64 x 1) (*.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 (/.f64 (+.f64 x -1) (fma.f64 x x -1)) (+.f64 1 (pow.f64 x 3)))))
(*.f64 (/.f64 (+.f64 x -1) (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 -1 (pow.f64 x 3)))) (*.f64 (fma.f64 x x (-.f64 1 x)) (fma.f64 x x (+.f64 1 x))))
(*.f64 (*.f64 (fma.f64 x x (+.f64 x 1)) (fma.f64 x x (-.f64 1 x))) (/.f64 (+.f64 x -1) (*.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3)))))
(*.f64 (fma.f64 x x (+.f64 x 1)) (/.f64 (*.f64 (+.f64 x -1) (fma.f64 x x (-.f64 1 x))) (+.f64 -1 (pow.f64 x 6))))
(pow.f64 (+.f64 1 x) -1)
(/.f64 1 (+.f64 x 1))
(pow.f64 (/.f64 1 (+.f64 1 x)) 1)
(/.f64 1 (+.f64 x 1))
(pow.f64 (pow.f64 (+.f64 1 x) -1/2) 2)
(/.f64 1 (+.f64 x 1))
(pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 -1 x))) 3)
(/.f64 -1 (-.f64 -1 x))
(pow.f64 (pow.f64 (+.f64 1 x) -3) 1/3)
(cbrt.f64 (pow.f64 (+.f64 x 1) -3))
(sqrt.f64 (pow.f64 (+.f64 1 x) -2))
(sqrt.f64 (pow.f64 (+.f64 x 1) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))
(/.f64 1 (+.f64 x 1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 x)))))
(/.f64 1 (+.f64 x 1))
(cbrt.f64 (pow.f64 (+.f64 1 x) -3))
(cbrt.f64 (pow.f64 (+.f64 x 1) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 x))))
(/.f64 1 (+.f64 x 1))
(exp.f64 (neg.f64 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 x))))
(/.f64 1 (+.f64 x 1))

eval239.0ms (6.1%)

Compiler

Compiled 11509 to 8664 computations (24.7% saved)

prune82.0ms (2.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New4774481
Fresh000
Picked011
Done000
Total4775482
Error
0.4b
Counts
482 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
▶34.7b
(/.f64 -2 (*.f64 x x))
✓13.7b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
▶29.1b
(-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 -1 x))
▶29.2b
(-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))
29.1b
2
Compiler

Compiled 40 to 32 computations (20% saved)

localize12.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 23 to 17 computations (26.1% saved)

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 24 to 18 computations (25% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite50.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
1200×add-sqr-sqrt
1176×*-un-lft-identity
1120×pow1
1102×add-cube-cbrt
1094×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
112813
2156513
Stop Event
1×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 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (pow.f64 x -2))))) (#(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 (/.f64 (sqrt.f64 -2) x) (/.f64 (sqrt.f64 -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -2 (*.f64 x x))) (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 (*.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 (pow.f64 x -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (*.f64 x (neg.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 (/.f64 (sqrt.f64 -2) x) 2)))) (#(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 (pow.f64 (/.f64 -2 (*.f64 x x)) 3) 1/3)))) (#(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 (*.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 exp.f64 (log.f64 (/.f64 -2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -2 (*.f64 x x))))))))

simplify43.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1438×distribute-lft-in
1402×associate-/r*
966×associate-+r+
942×associate-+l+
878×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057485
1134485
2448485
32622485
Stop Event
1×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 (*.f64 x x))) 1)
(*.f64 -2 (pow.f64 x -2))
(*.f64 (/.f64 -2 (*.f64 x x)) 1)
(*.f64 1 (/.f64 -2 (*.f64 x x)))
(*.f64 (/.f64 (sqrt.f64 -2) x) (/.f64 (sqrt.f64 -2) x))
(*.f64 (cbrt.f64 (/.f64 -2 (*.f64 x x))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (/.f64 -2 (*.f64 x x))))
(*.f64 (/.f64 -2 x) (/.f64 1 x))
(*.f64 (pow.f64 x -2) -2)
(*.f64 2 (/.f64 1 (*.f64 x (neg.f64 x))))
(pow.f64 (/.f64 -2 (*.f64 x x)) 1)
(pow.f64 (/.f64 (sqrt.f64 -2) x) 2)
(pow.f64 (cbrt.f64 (/.f64 -2 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (/.f64 -2 (*.f64 x x)) 3) 1/3)
(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 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (/.f64 -2 (*.f64 x x))))
(exp.f64 (log.f64 (/.f64 -2 (*.f64 x x))))
(log1p.f64 (expm1.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 (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 (*.f64 x x))) 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 (*.f64 x x)) 1)
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(*.f64 1 (/.f64 -2 (*.f64 x x)))
(/.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 (cbrt.f64 (/.f64 -2 (*.f64 x x))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))
(*.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 (*.f64 x x))))
(*.f64 (cbrt.f64 (/.f64 -2 (*.f64 x x))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))
(*.f64 (/.f64 -2 x) (/.f64 1 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 2 (/.f64 1 (*.f64 x (neg.f64 x))))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(pow.f64 (/.f64 -2 (*.f64 x x)) 1)
(/.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 (cbrt.f64 (/.f64 -2 (*.f64 x x))) 3)
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(pow.f64 (pow.f64 (/.f64 -2 (*.f64 x x)) 3) 1/3)
(/.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)))
(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 (*.f64 x x)) 3))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(expm1.f64 (log1p.f64 (/.f64 -2 (*.f64 x x))))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(exp.f64 (log.f64 (/.f64 -2 (*.f64 x x))))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(log1p.f64 (expm1.f64 (/.f64 -2 (*.f64 x x))))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))

eval85.0ms (2.2%)

Compiler

Compiled 4283 to 3122 computations (27.1% saved)

prune35.0ms (0.9%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New2412243
Fresh011
Picked011
Done033
Total2417248
Error
0b
Counts
248 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓34.7b
(/.f64 -2 (*.f64 x x))
✓13.7b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
✓29.1b
(-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 -1 x))
✓29.2b
(-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))
▶34.3b
(*.f64 (pow.f64 x -2) -2)
▶34.4b
(*.f64 (/.f64 -2 x) (/.f64 1 x))
29.1b
2
Compiler

Compiled 54 to 43 computations (20.4% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 17 to 12 computations (29.4% saved)

series0.0ms (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))

rewrite56.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
1514×add-sqr-sqrt
1490×*-un-lft-identity
1394×add-cube-cbrt
1376×add-cbrt-cube
1364×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
117013
2199413
Stop Event
1×node limit
Counts
1 → 36
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 x (/.f64 -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 (*.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 -2 x)) (/.f64 x (sqrt.f64 (/.f64 -2 x))))))) (#(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 2 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (neg.f64 (*.f64 x x)))))) (#(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 -1 (*.f64 (neg.f64 x) (*.f64 x -1/2)))))) (#(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 /.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) 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) (pow.f64 (cbrt.f64 x) 2)) (cbrt.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 pow.f64 (*.f64 -2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -2) x) 2)))) (#(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 (pow.f64 (*.f64 -2 (pow.f64 x -2)) 3) 1/3)))) (#(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 expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -2 (pow.f64 x -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 x -2))))))))

simplify52.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1152×associate-/r/
902×distribute-lft-in
894×distribute-rgt-in
858×associate-*r*
678×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094624
1213624
2675624
33295624
Stop Event
1×node limit
Counts
48 → 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 (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 x (/.f64 -2 x)))
(/.f64 1 (*.f64 x (*.f64 x -1/2)))
(/.f64 1 (/.f64 (*.f64 x x) -2))
(/.f64 1 (*.f64 (*.f64 x -1/2) x))
(/.f64 (/.f64 1 x) (*.f64 x -1/2))
(/.f64 (sqrt.f64 (/.f64 -2 x)) (/.f64 x (sqrt.f64 (/.f64 -2 x))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (/.f64 x (cbrt.f64 (/.f64 -2 x))))
(/.f64 2 (*.f64 x (neg.f64 x)))
(/.f64 2 (*.f64 (neg.f64 x) x))
(/.f64 2 (neg.f64 (*.f64 x x)))
(/.f64 -1 (*.f64 (*.f64 x -1/2) (neg.f64 x)))
(/.f64 -1 (*.f64 (neg.f64 x) (*.f64 x -1/2)))
(/.f64 (*.f64 (/.f64 -2 x) -1) (neg.f64 x))
(/.f64 (*.f64 (/.f64 1 x) 2) (neg.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) x)
(/.f64 (/.f64 (/.f64 -2 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 -2 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (neg.f64 (/.f64 -2 x)) (neg.f64 x))
(pow.f64 (*.f64 -2 (pow.f64 x -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 -2) x) 2)
(pow.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) 3)
(pow.f64 (pow.f64 (*.f64 -2 (pow.f64 x -2)) 3) 1/3)
(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))
(expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 -2 (pow.f64 x -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 -2 (pow.f64 x -2))) 1))
(log1p.f64 (expm1.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 x (/.f64 -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 (*.f64 x -1/2) 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 (sqrt.f64 (/.f64 -2 x)) (/.f64 x (sqrt.f64 (/.f64 -2 x))))
(/.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 2 (*.f64 x (neg.f64 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 (neg.f64 (*.f64 x x)))
(/.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 -1 (*.f64 (neg.f64 x) (*.f64 x -1/2)))
(/.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))
(/.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) 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) (pow.f64 (cbrt.f64 x) 2)) (cbrt.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))
(pow.f64 (*.f64 -2 (pow.f64 x -2)) 1)
(/.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 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) 3)
(/.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))
(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))
(expm1.f64 (log1p.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))
(exp.f64 (*.f64 (log.f64 (*.f64 -2 (pow.f64 x -2))) 1))
(/.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))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 11 to 8 computations (27.3% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite53.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
1122×add-sqr-sqrt
1098×*-un-lft-identity
1044×pow1
1028×add-cube-cbrt
1018×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
112613
2144413
Stop Event
1×node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 (pow.f64 x -2) -2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -2 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 x) (sqrt.f64 -2)) 2)))) (#(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 (pow.f64 (*.f64 -2 (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x -4) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) -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 exp.f64 (log.f64 (*.f64 -2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 x -2))))))))

simplify40.0ms (1%)

Algorithm
1×egg-herbie
Rules
1302×distribute-rgt-in
1282×distribute-lft-in
998×log-prod
920×associate-*r/
802×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039299
195299
2338299
31803299
Stop Event
1×node limit
Counts
23 → 14
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 (*.f64 (/.f64 1 x) (sqrt.f64 -2)) 2)
(pow.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) 3)
(pow.f64 (pow.f64 (*.f64 -2 (pow.f64 x -2)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x -4) 4))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) -2))
(cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 x -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 -2 (pow.f64 x -2))))
(log1p.f64 (expm1.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))
(pow.f64 (*.f64 -2 (pow.f64 x -2)) 1)
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(pow.f64 (*.f64 (/.f64 1 x) (sqrt.f64 -2)) 2)
(/.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 (pow.f64 (*.f64 -2 (pow.f64 x -2)) 3) 1/3)
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(sqrt.f64 (*.f64 (pow.f64 x -4) 4))
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (pow.f64 x -2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x -2)) -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))
(exp.f64 (log.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))

eval9.0ms (0.2%)

Compiler

Compiled 384 to 288 computations (25% saved)

prune10.0ms (0.3%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New51152
Fresh011
Picked011
Done145
Total52759
Error
0b
Counts
59 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
▶34.4b
(/.f64 (/.f64 -2 x) x)
✓34.7b
(/.f64 -2 (*.f64 x x))
✓13.7b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
✓29.1b
(-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 -1 x))
✓29.2b
(-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))
✓34.3b
(*.f64 (pow.f64 x -2) -2)
29.1b
2
Compiler

Compiled 52 to 41 computations (21.2% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 11 to 7 computations (36.4% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite53.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
1380×add-sqr-sqrt
1356×*-un-lft-identity
1276×add-cube-cbrt
1262×add-cbrt-cube
1250×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
113213
2171513
Stop Event
1×node limit
Counts
1 → 36
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 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (/.f64 1 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 (/.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 (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 1 x) (/.f64 -2 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 (sqrt.f64 x)) (/.f64 (/.f64 -2 x) (sqrt.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 -2 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 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 (sqrt.f64 (/.f64 -2 x)) 1) (/.f64 (sqrt.f64 (/.f64 -2 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 (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 (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 *.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 pow.f64 (/.f64 -2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -2) x) 2)))) (#(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 (pow.f64 (/.f64 -2 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 -2 x)) -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 exp.f64 (log.f64 (/.f64 -2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -2 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -2 (*.f64 x x))))))))

simplify49.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1542×associate-+r+
1358×associate-+l+
834×distribute-rgt-in
798×distribute-lft-in
730×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
097744
1255726
2878726
33730726
Stop Event
1×node limit
Counts
48 → 44
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 1 (*.f64 x x)))
(*.f64 -2 (/.f64 (/.f64 1 x) x))
(*.f64 (/.f64 -2 x) (/.f64 1 x))
(*.f64 (/.f64 -2 (*.f64 x x)) 1)
(*.f64 1 (/.f64 -2 (*.f64 x 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 (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 1 x) (/.f64 -2 x))
(*.f64 (/.f64 2 x) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 -2 x) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 -2 x) (cbrt.f64 x)))
(*.f64 (/.f64 -2 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))
(*.f64 (/.f64 -2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 -2 x)) 1) (/.f64 (sqrt.f64 (/.f64 -2 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 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 -2 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 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 -2 (*.f64 x x))))
(pow.f64 (/.f64 -2 (*.f64 x x)) 1)
(pow.f64 (/.f64 (sqrt.f64 -2) x) 2)
(pow.f64 (cbrt.f64 (/.f64 -2 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (/.f64 -2 (*.f64 x x)) 3) 1/3)
(pow.f64 (/.f64 x (/.f64 -2 x)) -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))))
(exp.f64 (log.f64 (/.f64 -2 (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (/.f64 -2 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (/.f64 -2 (*.f64 x x))))
Outputs
(/.f64 -2 (pow.f64 x 2))
(/.f64 (/.f64 -2 x) 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 (/.f64 -2 x) 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 (/.f64 -2 x) 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 (/.f64 -2 x) 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 (/.f64 -2 x) 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 (/.f64 -2 x) x)
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (*.f64 x x))
(-.f64 (+.f64 1 (/.f64 -2 (*.f64 x x))) 1)
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (*.f64 (/.f64 1 x) (/.f64 1 x)))
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (/.f64 1 (*.f64 x x)))
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (*.f64 x x))
(*.f64 -2 (/.f64 (/.f64 1 x) x))
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (*.f64 x x))
(*.f64 (/.f64 -2 x) (/.f64 1 x))
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (*.f64 x x))
(*.f64 (/.f64 -2 (*.f64 x x)) 1)
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (*.f64 x x))
(*.f64 1 (/.f64 -2 (*.f64 x x)))
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (*.f64 x x))
(*.f64 (/.f64 (sqrt.f64 -2) x) (/.f64 (sqrt.f64 -2) x))
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (*.f64 x x))
(*.f64 (sqrt.f64 (/.f64 -2 x)) (*.f64 (sqrt.f64 (/.f64 -2 x)) (/.f64 1 x)))
(/.f64 (/.f64 -2 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 (/.f64 -2 x) x)
(/.f64 -2 (*.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (*.f64 x x))) 2) (cbrt.f64 (/.f64 -2 (*.f64 x x))))
(/.f64 (/.f64 -2 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 (/.f64 -2 x) x)
(/.f64 -2 (*.f64 x x))
(*.f64 (/.f64 1 x) (/.f64 -2 x))
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (*.f64 x x))
(*.f64 (/.f64 2 x) (/.f64 1 (neg.f64 x)))
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (*.f64 x x))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 -2 x) (sqrt.f64 x)))
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (*.f64 x x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 -2 x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 -2 (*.f64 (cbrt.f64 x) x)))
(/.f64 (/.f64 -2 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 -2 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x))))
(*.f64 (/.f64 -2 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))
(/.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 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 -2 (*.f64 (cbrt.f64 x) x)))
(/.f64 (/.f64 -2 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 -2 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 -2 x)) 1) (/.f64 (sqrt.f64 (/.f64 -2 x)) x))
(/.f64 (/.f64 -2 x) x)
(/.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 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 -2 (*.f64 (cbrt.f64 x) x)))
(/.f64 (/.f64 -2 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 -2 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (cbrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 -2 x)) x))
(/.f64 (/.f64 -2 x) 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 (/.f64 -2 x) 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 (/.f64 -2 x) x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 (/.f64 -2 (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(pow.f64 (/.f64 -2 (*.f64 x x)) 1)
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (*.f64 x x))
(pow.f64 (/.f64 (sqrt.f64 -2) x) 2)
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (*.f64 x x))
(pow.f64 (cbrt.f64 (/.f64 -2 (*.f64 x x))) 3)
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (*.f64 x x))
(pow.f64 (pow.f64 (/.f64 -2 (*.f64 x x)) 3) 1/3)
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (*.f64 x x))
(pow.f64 (/.f64 x (/.f64 -2 x)) -1)
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (*.f64 x x))
(neg.f64 (/.f64 (/.f64 -2 x) (neg.f64 x)))
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (*.f64 x x))
(sqrt.f64 (pow.f64 (/.f64 -2 (*.f64 x x)) 2))
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (*.f64 x x))
(log.f64 (exp.f64 (/.f64 -2 (*.f64 x x))))
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (*.f64 x x))
(cbrt.f64 (pow.f64 (/.f64 -2 (*.f64 x x)) 3))
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (*.f64 x x))
(expm1.f64 (log1p.f64 (/.f64 -2 (*.f64 x x))))
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (*.f64 x x))
(exp.f64 (log.f64 (/.f64 -2 (*.f64 x x))))
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (/.f64 -2 (*.f64 x x))) 1))
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (*.f64 x x))
(log1p.f64 (expm1.f64 (/.f64 -2 (*.f64 x x))))
(/.f64 (/.f64 -2 x) x)
(/.f64 -2 (*.f64 x x))

eval8.0ms (0.2%)

Compiler

Compiled 447 to 295 computations (34% saved)

prune9.0ms (0.2%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New44044
Fresh011
Picked011
Done055
Total44751
Error
0b
Counts
51 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓34.4b
(/.f64 (/.f64 -2 x) x)
✓34.7b
(/.f64 -2 (*.f64 x x))
✓13.7b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
✓29.1b
(-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 -1 x))
✓29.2b
(-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))
✓34.3b
(*.f64 (pow.f64 x -2) -2)
29.1b
2
Compiler

Compiled 52 to 41 computations (21.2% saved)

regimes21.0ms (0.5%)

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

2 calls:

16.0ms
x
4.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
Results
ErrorSegmentsBranch
0.0b3x
0.0b2(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 67 to 51 computations (23.9% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
2.0
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes20.0ms (0.5%)

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

2 calls:

15.0ms
x
3.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
Results
ErrorSegmentsBranch
0.1b3x
0.1b2(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 62 to 47 computations (24.2% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
2.0
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes16.0ms (0.4%)

Counts
6 → 3
Calls
Call 1
Inputs
2
(/.f64 -2 (*.f64 x x))
(/.f64 (/.f64 -2 x) x)
(*.f64 (/.f64 -2 x) (/.f64 1 x))
(-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1)))
(-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 -1 x))
Outputs
(/.f64 (/.f64 -2 x) x)
(-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 -1 x))
(/.f64 (/.f64 -2 x) x)
Calls

1 calls:

15.0ms
x
Results
ErrorSegmentsBranch
0.4b3x
Compiler

Compiled 39 to 28 computations (28.2% saved)

bsearch38.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
0.0034678073854450125
11171974828.692543
19.0ms
-8657044366689.438
-0.010841510731513248
Results
34.0ms320×body256valid
Compiler

Compiled 376 to 293 computations (22.1% saved)

regimes15.0ms (0.4%)

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

1 calls:

14.0ms
x
Results
ErrorSegmentsBranch
0.4b3x
Compiler

Compiled 30 to 21 computations (30% saved)

bsearch40.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
0.0034678073854450125
11171974828.692543
20.0ms
-8657044366689.438
-0.010841510731513248
Results
33.0ms320×body256valid
Compiler

Compiled 376 to 293 computations (22.1% saved)

regimes18.0ms (0.5%)

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

1 calls:

17.0ms
x
Results
ErrorSegmentsBranch
0.4b3x
Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch36.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
17.0ms
0.0034678073854450125
11171974828.692543
19.0ms
-8657044366689.438
-0.010841510731513248
Results
33.0ms320×body256valid
Compiler

Compiled 216 to 173 computations (19.9% saved)

regimes11.0ms (0.3%)

Accuracy

Total -62.3b remaining (-8415%)

Threshold costs -62.3b (-8415%)

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

1 calls:

11.0ms
x
Results
ErrorSegmentsBranch
0.7b3x
Compiler

Compiled 9 to 6 computations (33.3% saved)

bsearch34.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
16.0ms
0.0034678073854450125
11171974828.692543
18.0ms
-8657044366689.438
-0.010841510731513248
Results
31.0ms320×body256valid
Compiler

Compiled 216 to 173 computations (19.9% saved)

simplify18.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
28×+-commutative
24×*-commutative
18×sub-neg
12×neg-sub0
8×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043371
168371
284371
396371
4110371
5115371
6120371
7125371
8127371
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) 0) (*.f64 (pow.f64 x -2) -2) (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))))
(if (<=.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) 0) (/.f64 (/.f64 -2 x) x) (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))))
(if (<=.f64 x -6980579422424269/4503599627370496) (/.f64 (/.f64 -2 x) x) (if (<=.f64 x 1) (-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 -1 x)) (/.f64 (/.f64 -2 x) x)))
(if (<=.f64 x -1) (/.f64 (/.f64 -2 x) x) (if (<=.f64 x 6980579422424269/4503599627370496) (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))) (/.f64 (/.f64 -2 x) x)))
(if (<=.f64 x -1) (/.f64 (/.f64 -2 x) x) (if (<=.f64 x 1) 2 (/.f64 (/.f64 -2 x) x)))
(if (<=.f64 x -1) (/.f64 -2 (*.f64 x x)) (if (<=.f64 x 1) 2 (/.f64 -2 (*.f64 x x))))
2
Outputs
(if (<=.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) 0) (*.f64 (pow.f64 x -2) -2) (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))))
(if (<=.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) 0) (*.f64 -2 (pow.f64 x -2)) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
(if (<=.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))) 0) (*.f64 -2 (pow.f64 x -2)) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))))
(if (<=.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) 0) (/.f64 (/.f64 -2 x) x) (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))))
(if (<=.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) 0) (/.f64 (/.f64 -2 x) x) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))
(if (<=.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))) 0) (/.f64 (/.f64 -2 x) x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))))
(if (<=.f64 x -6980579422424269/4503599627370496) (/.f64 (/.f64 -2 x) x) (if (<=.f64 x 1) (-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 -1 x)) (/.f64 (/.f64 -2 x) x)))
(if (or (<=.f64 x -6980579422424269/4503599627370496) (not (<=.f64 x 1))) (/.f64 (/.f64 -2 x) x) (-.f64 (/.f64 1 (+.f64 1 x)) (-.f64 -1 x)))
(if (or (<=.f64 x -6980579422424269/4503599627370496) (not (<=.f64 x 1))) (/.f64 (/.f64 -2 x) x) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 1 x)))
(if (<=.f64 x -1) (/.f64 (/.f64 -2 x) x) (if (<=.f64 x 6980579422424269/4503599627370496) (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))) (/.f64 (/.f64 -2 x) x)))
(if (or (<=.f64 x -1) (not (<=.f64 x 6980579422424269/4503599627370496))) (/.f64 (/.f64 -2 x) x) (-.f64 (-.f64 1 x) (/.f64 1 (+.f64 x -1))))
(if (or (<=.f64 x -1) (not (<=.f64 x 6980579422424269/4503599627370496))) (/.f64 (/.f64 -2 x) x) (+.f64 (-.f64 1 x) (/.f64 -1 (+.f64 x -1))))
(if (<=.f64 x -1) (/.f64 (/.f64 -2 x) x) (if (<=.f64 x 1) 2 (/.f64 (/.f64 -2 x) x)))
(if (or (<=.f64 x -1) (not (<=.f64 x 1))) (/.f64 (/.f64 -2 x) x) 2)
(if (<=.f64 x -1) (/.f64 -2 (*.f64 x x)) (if (<=.f64 x 1) 2 (/.f64 -2 (*.f64 x x))))
(if (or (<=.f64 x -1) (not (<=.f64 x 1))) (/.f64 -2 (*.f64 x x)) 2)
2
Compiler

Compiled 144 to 113 computations (21.5% saved)

soundness68.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
834×*-commutative
808×distribute-lft-in
700×distribute-rgt-in
628×associate-*r*
616×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
066413728
1209212908
Stop Event
1×node limit
Compiler

Compiled 11 to 8 computations (27.3% saved)

end115.0ms (2.9%)

Compiler

Compiled 138 to 107 computations (22.5% saved)

Profiling

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