Details

Time bar (total: 3.6s)

analyze96.0ms (2.7%)

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
0%0%100%0%0%0%0%3
16.7%12.5%62.5%0%0%25%0%4
30%18.7%43.7%0%0%37.5%0%5
38.9%21.9%34.4%0%0%43.7%0%6
44.1%23.4%29.7%0%0%46.9%0%7
47%24.2%27.3%0%0%48.4%0%8
48.5%24.6%26.2%0%0%49.2%0%9
49.2%24.8%25.6%0%0%49.6%0%10
49.6%24.9%25.3%0%0%49.8%0%11
49.8%24.9%25.1%0%0%49.9%0%12
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.9s (52.9%)

Results
1.1s8256×body256valid
708.0ms7203×body256infinite
93.0ms1074×body256invalid
Bogosity

preprocess135.0ms (3.7%)

Algorithm
2×egg-herbie
Rules
1316×fma-neg
1074×+-commutative
1010×*-commutative
776×distribute-neg-in
746×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
12123
22523
34023
48423
517723
634823
779423
8331123
9490423
10628523
11723123
12758123
13777923
14788723
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Outputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify140.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
1316×fma-neg
1074×+-commutative
1010×*-commutative
776×distribute-neg-in
746×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
12123
22523
34023
48423
517723
634823
779423
8331123
9490423
10628523
11723123
12758123
13777923
14788723
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Outputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))

eval1.0ms (0%)

Compiler

Compiled 18 to 12 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
35.5b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶35.5b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Compiler

Compiled 10 to 7 computations (30% saved)

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
✓33.0b
(sqrt.f64 (-.f64 (*.f64 x x) 1))
Compiler

Compiled 34 to 17 computations (50% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite78.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
846×associate-*r/
820×*-commutative
704×unswap-sqr
664×associate-*l/
604×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
119732
2269132
Stop Event
1×node limit
Counts
2 → 124
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 (*.f64 x x) 1))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) x)))))

simplify92.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
1502×associate-/r*
952×associate-*r/
782×associate-*l/
672×+-commutative
642×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03787096
19866194
237646006
Stop Event
1×node limit
Counts
148 → 245
Calls
Call 1
Inputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) x)
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x)))
(*.f64 2 x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(/.f64 1/2 x)
(+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 5/128 (/.f64 1 (pow.f64 x 7))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (pow.f64 1 1/2))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/2))
(*.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x -1) 1/2))
(*.f64 (pow.f64 (+.f64 x -1) 1/2) (pow.f64 (+.f64 x 1) 1/2))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1)))) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (*.f64 1 (sqrt.f64 (+.f64 -1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (*.f64 1 (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 -1 (pow.f64 x 6)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 (pow.f64 x 4) -1))) (cbrt.f64 (fma.f64 x x 1)))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 -1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 (pow.f64 x 4) -1))) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) 1) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) 1) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 6))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x 1)))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(-.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (fma.f64 x x -1))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) (-.f64 1 x))
(-.f64 (/.f64 x (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) x)) (/.f64 (fma.f64 x x -1) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))) 1)
(-.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 x 1)) 1)
(*.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (+.f64 1 (*.f64 x (-.f64 x x))) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 1 (*.f64 x (-.f64 x x))))
(*.f64 (/.f64 1 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))
(*.f64 (/.f64 (+.f64 1 (*.f64 x (-.f64 x x))) (+.f64 1 (*.f64 x (-.f64 x x)))) (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (/.f64 (+.f64 1 (*.f64 x (-.f64 x x))) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (+.f64 (*.f64 x x) (+.f64 -1 (*.f64 x (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (-.f64 (pow.f64 x 4) (*.f64 (fma.f64 x x -1) (*.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))))) (+.f64 (+.f64 1 (*.f64 x (-.f64 x x))) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (+.f64 (pow.f64 x 6) (pow.f64 (+.f64 -1 (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))) (+.f64 (pow.f64 x 4) (*.f64 (+.f64 -1 (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (-.f64 (+.f64 -1 (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (*.f64 x x)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 1 (/.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (+.f64 1 (*.f64 x (-.f64 x x))) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (/.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (sqrt.f64 (+.f64 1 (*.f64 x (-.f64 x x)))) (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 1 (*.f64 x (-.f64 x x))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (/.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (*.f64 x (-.f64 x x)))) (cbrt.f64 (+.f64 1 (*.f64 x (-.f64 x x))))) (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 1 (*.f64 x (-.f64 x x))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (/.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(/.f64 (+.f64 -1 (*.f64 x (-.f64 x x))) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x x -1) 2)) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (+.f64 (*.f64 x x) (fma.f64 x x -1))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 3)) (*.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 (fma.f64 x x -1) 3) (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x -1) 3)) (*.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x -1) 3)) (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (+.f64 (pow.f64 x 4) (*.f64 (fma.f64 x x -1) (+.f64 (*.f64 x x) (fma.f64 x x -1))))))
(/.f64 (+.f64 (neg.f64 (*.f64 x (-.f64 x x))) -1) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (neg.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 1 (*.f64 x (-.f64 x x))))) (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (sqrt.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (+.f64 1 (*.f64 x (-.f64 x x))))) (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (cbrt.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (*.f64 (+.f64 -1 (*.f64 x (-.f64 x x))) 1) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (*.f64 (+.f64 (neg.f64 (*.f64 x (-.f64 x x))) -1) 1) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) 1) (neg.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (*.f64 x (-.f64 x x)))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (*.f64 x (-.f64 x x)))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (cbrt.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x x -1) 2)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (+.f64 (*.f64 x x) (fma.f64 x x -1)))
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x -1) 3)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (+.f64 (pow.f64 x 4) (*.f64 (fma.f64 x x -1) (+.f64 (*.f64 x x) (fma.f64 x x -1)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 3)) (/.f64 1 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 (fma.f64 x x -1) 3) (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x -1) 3)) (/.f64 1 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))
(/.f64 (/.f64 (+.f64 1 (*.f64 x (-.f64 x x))) 1) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (/.f64 (+.f64 1 (*.f64 x (-.f64 x x))) (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (/.f64 (+.f64 1 (*.f64 x (-.f64 x x))) (*.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (/.f64 (+.f64 1 (*.f64 x (-.f64 x x))) (+.f64 (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) 1) (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (sqrt.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (*.f64 (cbrt.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (cbrt.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(neg.f64 (/.f64 (+.f64 1 (*.f64 x (-.f64 x x))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(neg.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (neg.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) x)
Outputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (/.f64 (*.f64 1/2 (*.f64 x x)) (sqrt.f64 -1)))
(fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(fma.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 -1)) x) (sqrt.f64 -1))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (sqrt.f64 -1) (/.f64 (*.f64 1/2 (*.f64 x x)) (sqrt.f64 -1))))
(+.f64 (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))))
(+.f64 (fma.f64 1/2 (*.f64 (/.f64 x (sqrt.f64 -1)) x) (sqrt.f64 -1)) (/.f64 (*.f64 1/8 (pow.f64 x 4)) (sqrt.f64 -1)))
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x
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(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(fabs.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (-.f64 1 (-.f64 1 (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (+.f64 0 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 x (-.f64 1 (-.f64 1 (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (+.f64 0 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(+.f64 x (-.f64 1 (-.f64 1 (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (+.f64 0 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (-.f64 1 (-.f64 1 (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (+.f64 0 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (-.f64 1 (-.f64 1 (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (+.f64 0 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (-.f64 1 (-.f64 1 (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (+.f64 0 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (-.f64 1 (-.f64 1 (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (+.f64 0 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(+.f64 x (-.f64 1 (-.f64 1 (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (+.f64 0 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(+.f64 x (-.f64 1 (-.f64 1 (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (+.f64 0 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (-.f64 1 (-.f64 1 (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (+.f64 0 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (-.f64 1 (-.f64 1 (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (+.f64 0 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)) x)

eval99.0ms (2.8%)

Compiler

Compiled 5562 to 3892 computations (30% saved)

prune33.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2432245
Fresh000
Picked011
Done000
Total2433246
Error
0b
Counts
246 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.4b
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓35.5b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶0.7b
(log.f64 (+.f64 x x))
Compiler

Compiled 24 to 16 computations (33.3% saved)

localize4.0ms (0.1%)

Compiler

Compiled 9 to 3 computations (66.7% saved)

localize13.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓0.0b
(+.f64 x (-.f64 x (/.f64 1/2 x)))
Compiler

Compiled 26 to 16 computations (38.5% saved)

series2.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite94.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
1594×associate-*r/
958×*-commutative
956×associate-*l/
762×distribute-lft-in
582×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0942
120442
2287042
Stop Event
1×node limit
Counts
2 → 124
Calls
Call 1
Inputs
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
Outputs
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simplify106.0ms (3%)

Algorithm
1×egg-herbie
Rules
1708×associate-*r/
1290×associate-+r+
900×+-commutative
518×associate--r+
492×associate-+l-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03887184
111226162
248786106
Stop Event
1×node limit
Counts
148 → 230
Calls
Call 1
Inputs
(/.f64 -1/2 x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(*.f64 2 x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(*.f64 2 x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
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(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3)) 1) (fma.f64 x x (*.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 x (-.f64 (/.f64 -1/2 x) x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 x (-.f64 (/.f64 -1/2 x) x)))))) (sqrt.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 x (-.f64 (/.f64 -1/2 x) x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 x (-.f64 (/.f64 -1/2 x) x))))) (cbrt.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 x (-.f64 (/.f64 -1/2 x) x))))))) (cbrt.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 x (-.f64 (/.f64 -1/2 x) x))))))
(pow.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)) 3) 1/3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))))
(pow.f64 (exp.f64 1) (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))))) (sqrt.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))))
(exp.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))))
(fma.f64 1 x (+.f64 x (/.f64 -1/2 x)))
(fma.f64 1 (+.f64 x (/.f64 -1/2 x)) x)
(fma.f64 (sqrt.f64 (+.f64 x (/.f64 -1/2 x))) (sqrt.f64 (+.f64 x (/.f64 -1/2 x))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x (/.f64 -1/2 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) 2) (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x (/.f64 -1/2 x)))
(+.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) 0)
(+.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))) (log.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))))
(+.f64 0 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) 2)) (log.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) 2)))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))))) (log.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) 2))) (log.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))))
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))))) (*.f64 1 (log.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))))))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3))) (log.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 x (-.f64 (/.f64 -1/2 x) x))))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (log.f64 (+.f64 (/.f64 1/2 x) (-.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))))) 1)
(-.f64 (+.f64 0 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3)))) (log.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 x (-.f64 (/.f64 -1/2 x) x))))))
(-.f64 (+.f64 0 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)))) (log.f64 (+.f64 (/.f64 1/2 x) (-.f64 x x))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))))) 1)
(*.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) 1)
(*.f64 1 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))) (sqrt.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))) 2) (cbrt.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))))
(pow.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))))
(log1p.f64 (+.f64 (+.f64 x x) (-.f64 (/.f64 -1/2 x) 1)))
Outputs
(/.f64 -1/2 x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(*.f64 2 x)
(+.f64 x x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(*.f64 2 x)
(+.f64 x x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 -1/2) (log.f64 x))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (fma.f64 -4 (*.f64 x x) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (fma.f64 -4 (*.f64 x x) (fma.f64 -8 (pow.f64 x 4) (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (*.f64 -8 (pow.f64 x 4)) (+.f64 (*.f64 -64/3 (pow.f64 x 6)) (*.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (fma.f64 -4 (*.f64 x x) (fma.f64 -8 (pow.f64 x 4) (fma.f64 -64/3 (pow.f64 x 6) (neg.f64 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (fma.f64 -4 (*.f64 x x) (-.f64 (fma.f64 -8 (pow.f64 x 4) (*.f64 -64/3 (pow.f64 x 6))) (log.f64 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2))
(+.f64 (log.f64 2) (log.f64 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/32 (pow.f64 x 4))))
(+.f64 (log.f64 x) (-.f64 (+.f64 (log.f64 2) (/.f64 -1/4 (*.f64 x x))) (/.f64 1/32 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6)))))
(-.f64 (-.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6)))) (/.f64 1/32 (pow.f64 x 4)))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (-.f64 (/.f64 -1/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (+.f64 (log.f64 -2) (/.f64 -1/4 (*.f64 x x))) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/32 (pow.f64 x 4))))
(+.f64 (-.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (/.f64 1/32 (pow.f64 x 4))) (/.f64 -1/4 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (-.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 1/32 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2)) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6)))))
(-.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6)))))
(-.f64 (-.f64 (-.f64 (-.f64 (log.f64 -2) (/.f64 1/192 (pow.f64 x 6))) (/.f64 1/4 (*.f64 x x))) (/.f64 1/32 (pow.f64 x 4))) (log.f64 (/.f64 -1 x)))
(-.f64 x (-.f64 (/.f64 1/2 x) x))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (+.f64 x x) (/.f64 1/2 x))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 -1/2 x)))) (-.f64 1 x))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 -1/2 x)))) 1) x)
(+.f64 x (expm1.f64 (log1p.f64 (+.f64 x (/.f64 -1/2 x)))))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (+.f64 x (/.f64 -1/2 x))))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 (-.f64 1 x) (/.f64 -1/2 x)))
(+.f64 x (+.f64 (/.f64 -1/2 x) (expm1.f64 (log1p.f64 x))))
(-.f64 (exp.f64 (log1p.f64 x)) (+.f64 1 (-.f64 (/.f64 1/2 x) x)))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 (-.f64 1 x) (/.f64 -1/2 x)))
(+.f64 x (+.f64 (/.f64 -1/2 x) (expm1.f64 (log1p.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))) 1)
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (/.f64 x (/.f64 (+.f64 x (/.f64 1/2 x)) x)) (-.f64 (/.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 x (/.f64 1/2 x))) x))
(+.f64 (-.f64 (*.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x) (/.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 x (/.f64 1/2 x)))) x)
(+.f64 x (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x (/.f64 (/.f64 -1/4 (*.f64 x x)) (+.f64 x (/.f64 1/2 x)))))
(-.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (*.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x))))) (-.f64 (/.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 x x (*.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x))))) x))
(+.f64 (-.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (*.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x))))) (/.f64 1/8 (*.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)))) (pow.f64 x 3)))) x)
(+.f64 x (+.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (/.f64 1/2 x)))) (/.f64 (/.f64 -1/8 (pow.f64 x 3)) (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (/.f64 1/2 x))))))
(-.f64 (/.f64 x (/.f64 (+.f64 (/.f64 1/2 x) (-.f64 x x)) x)) (/.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2) (+.f64 (/.f64 1/2 x) (-.f64 x x))))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (+.f64 x (/.f64 -1/2 x))))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 -1/2 x)))) 1) x)
(+.f64 x (expm1.f64 (log1p.f64 (+.f64 x (/.f64 -1/2 x)))))
(-.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 x (/.f64 1/2 x)) x))) (/.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 x (/.f64 1/2 x))))
(+.f64 (-.f64 (*.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x) (/.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 x (/.f64 1/2 x)))) x)
(+.f64 x (fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x (/.f64 (/.f64 -1/4 (*.f64 x x)) (+.f64 x (/.f64 1/2 x)))))
(-.f64 (+.f64 x (/.f64 (pow.f64 x 3) (fma.f64 x x (*.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)))))) (/.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 x x (*.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x))))))
(+.f64 (-.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (*.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x))))) (/.f64 1/8 (*.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)))) (pow.f64 x 3)))) x)
(+.f64 x (+.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (/.f64 1/2 x)))) (/.f64 (/.f64 -1/8 (pow.f64 x 3)) (fma.f64 x x (*.f64 (+.f64 x (/.f64 1/2 x)) (/.f64 1/2 x))))))
(-.f64 (+.f64 (+.f64 x (/.f64 -1/2 x)) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 (-.f64 1 x) (/.f64 -1/2 x)))
(+.f64 x (+.f64 (/.f64 -1/2 x) (expm1.f64 (log1p.f64 x))))
(-.f64 (+.f64 (+.f64 x x) 0) (/.f64 1/2 x))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(*.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)) 1)
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(*.f64 1 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
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(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3)) (fma.f64 x x (*.f64 (/.f64 -1/2 x) (+.f64 x (/.f64 -1/2 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 x (-.f64 (/.f64 -1/2 x) x)))))) (sqrt.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 x (-.f64 (/.f64 -1/2 x) x))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3)) 1) (fma.f64 x x (*.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 x (-.f64 (/.f64 -1/2 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3)) (fma.f64 x x (*.f64 (/.f64 -1/2 x) (+.f64 x (/.f64 -1/2 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 x (-.f64 (/.f64 -1/2 x) x))))) (cbrt.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 x (-.f64 (/.f64 -1/2 x) x))))))) (cbrt.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 x (-.f64 (/.f64 -1/2 x) x))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3)) 1) (fma.f64 x x (*.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 x (-.f64 (/.f64 -1/2 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3)) (fma.f64 x x (*.f64 (/.f64 -1/2 x) (+.f64 x (/.f64 -1/2 x)))))
(pow.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)) 1)
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) 2)
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) 3)
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(pow.f64 (pow.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)) 3) 1/3)
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(pow.f64 (exp.f64 1) (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))))) (sqrt.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)) 2))
(fabs.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(log.f64 (exp.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)) 3))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(exp.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 1 x (+.f64 x (/.f64 -1/2 x)))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 1 (+.f64 x (/.f64 -1/2 x)) x)
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 (sqrt.f64 (+.f64 x (/.f64 -1/2 x))) (sqrt.f64 (+.f64 x (/.f64 -1/2 x))) x)
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x (/.f64 -1/2 x)))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) 2) (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) x)
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x (/.f64 -1/2 x)))
(+.f64 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(+.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) 0)
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))) (log.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))))
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 0 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))))
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) 2)) (log.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))))
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) 2)))
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))))) (log.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))))
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) 2))) (log.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))))
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))))) (*.f64 1 (log.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))))))
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))))))
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3))) (log.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 x (-.f64 (/.f64 -1/2 x) x))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3))) (log.f64 (fma.f64 x x (*.f64 (/.f64 -1/2 x) (+.f64 x (/.f64 -1/2 x))))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (log.f64 (+.f64 (/.f64 1/2 x) (-.f64 x x))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (log.f64 (+.f64 (/.f64 1/2 x) 0)))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (log.f64 (/.f64 1/2 x)))
(-.f64 (log.f64 (*.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 1/2 x))) (log.f64 (/.f64 1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))))) 1)
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(-.f64 (+.f64 0 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3)))) (log.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 x (-.f64 (/.f64 -1/2 x) x))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3))) (log.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 x (-.f64 (/.f64 -1/2 x) x))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3))) (log.f64 (fma.f64 x x (*.f64 (/.f64 -1/2 x) (+.f64 x (/.f64 -1/2 x))))))
(-.f64 (+.f64 0 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)))) (log.f64 (+.f64 (/.f64 1/2 x) (-.f64 x x))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (log.f64 (+.f64 (/.f64 1/2 x) 0)))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (log.f64 (/.f64 1/2 x)))
(-.f64 (log.f64 (*.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 1/2 x))) (log.f64 (/.f64 1/2 x)))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))))) 1)
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) 1)
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 1 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))))
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))) (sqrt.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))))
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))) 2))
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))) 2) (cbrt.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))))
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))))
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) 1)
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))) 2)
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))) 3)
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) 3) 1/3)
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) 2))
(fabs.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))) 3))
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))))
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(exp.f64 (log.f64 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))))
(log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x)))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(log1p.f64 (+.f64 (+.f64 x x) (-.f64 (/.f64 -1/2 x) 1)))
(log1p.f64 (+.f64 x (+.f64 x (+.f64 (/.f64 -1/2 x) -1))))
(log1p.f64 (+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) -1))
(log1p.f64 (+.f64 -1 (fma.f64 x 2 (/.f64 -1/2 x))))

eval90.0ms (2.5%)

Compiler

Compiled 5758 to 3767 computations (34.6% saved)

prune28.0ms (0.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2291230
Fresh000
Picked011
Done022
Total2294233
Error
0b
Counts
233 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.4b
(log.f64 (-.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 x (/.f64 1/2 x)) x))) (/.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 x (/.f64 1/2 x)))))
✓0.4b
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓35.5b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓0.7b
(log.f64 (+.f64 x x))
Compiler

Compiled 49 to 32 computations (34.7% saved)

localize38.0ms (1.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 x (/.f64 1/2 x)) x)
✓0.0b
(+.f64 x (/.f64 x (/.f64 (+.f64 x (/.f64 1/2 x)) x)))
✓0.1b
(/.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 x (/.f64 1/2 x)))
✓0.4b
(/.f64 1/4 (*.f64 x x))
Compiler

Compiled 105 to 59 computations (43.8% saved)

series4.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(+.f64 x (/.f64 x (/.f64 (+.f64 x (/.f64 1/2 x)) x)))
0.0ms
x
@0
(/.f64 1/4 (*.f64 x x))
0.0ms
x
@-inf
(/.f64 (+.f64 x (/.f64 1/2 x)) x)
0.0ms
x
@inf
(/.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 x (/.f64 1/2 x)))
0.0ms
x
@0
(/.f64 (+.f64 x (/.f64 1/2 x)) x)

rewrite99.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
1018×distribute-rgt-in
982×distribute-lft-in
326×associate-+l+
320×add-sqr-sqrt
308×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01394
131290
2485890
Stop Event
1×node limit
Counts
4 → 175
Calls
Call 1
Inputs
(/.f64 1/4 (*.f64 x x))
(/.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 x (/.f64 1/2 x)))
(+.f64 x (/.f64 x (/.f64 (+.f64 x (/.f64 1/2 x)) x)))
(/.f64 (+.f64 x (/.f64 1/2 x)) x)
Outputs
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simplify109.0ms (3%)

Algorithm
1×egg-herbie
Rules
1378×associate-/l/
1028×associate-/r/
684×associate-*l*
674×associate-*r*
556×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04587425
112827005
251986997
Stop Event
1×node limit
Counts
223 → 260
Calls
Call 1
Inputs
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/2 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 -4 (pow.f64 x 5)))))
(/.f64 1/4 (pow.f64 x 3))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 3))) (*.f64 1/8 (/.f64 1 (pow.f64 x 5))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 7))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/8 (/.f64 1 (pow.f64 x 5))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 7))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 9))) (*.f64 1/8 (/.f64 1 (pow.f64 x 5)))))
(/.f64 1/4 (pow.f64 x 3))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 3))) (*.f64 1/8 (/.f64 1 (pow.f64 x 5))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 7))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/8 (/.f64 1 (pow.f64 x 5))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 7))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 9))) (*.f64 1/8 (/.f64 1 (pow.f64 x 5)))))
x
(+.f64 (*.f64 2 (pow.f64 x 3)) x)
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 -4 (pow.f64 x 5)) x))
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 8 (pow.f64 x 7)) (+.f64 (*.f64 -4 (pow.f64 x 5)) x)))
(*.f64 2 x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 2 x) (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 2 x) (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 5)))))
(*.f64 2 x)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 2 x) (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 2 x) (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 5)))))
(/.f64 1/2 (pow.f64 x 2))
(+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
1
(+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
1
(+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
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(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x)))) 3)) (fma.f64 x x (*.f64 (*.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x)))) (-.f64 (*.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x)))) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x)))) 2) (*.f64 x x)) (-.f64 (*.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x)))) x))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x)))) 2))) (neg.f64 (-.f64 x (*.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x)))) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x)))) (-.f64 (*.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x)))) x)))))
(pow.f64 (fma.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x))) x) 1)
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x))) x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x))) x)) 3)
(pow.f64 (pow.f64 (fma.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x))) x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x))) x) 2))
(log.f64 (exp.f64 (fma.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x))) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x))) x))))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x))) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x))) x)))
(exp.f64 (log.f64 (fma.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x))) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x))) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x))) x)))
(fma.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x))) x)
(fma.f64 1 x (*.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x)))))
(fma.f64 1 (*.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x)))) x)
(fma.f64 (sqrt.f64 (*.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x))))) (sqrt.f64 (*.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x))))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x))))) 2) (cbrt.f64 (*.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x))))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x)))))
(fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x)
(+.f64 (*.f64 (/.f64 1 x) (/.f64 1/2 x)) (*.f64 (/.f64 1 x) x))
(+.f64 (*.f64 (/.f64 1 x) x) (*.f64 (/.f64 1 x) (/.f64 1/2 x)))
(+.f64 (*.f64 x (/.f64 1 x)) (*.f64 (/.f64 1/2 x) (/.f64 1 x)))
(+.f64 (*.f64 (/.f64 1/2 x) (/.f64 1 x)) (*.f64 x (/.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (/.f64 1/2 x)) x))) 1)
(*.f64 (+.f64 x (/.f64 1/2 x)) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 x (/.f64 1/2 x)) x) 1)
(*.f64 1 (/.f64 (+.f64 x (/.f64 1/2 x)) x))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x (/.f64 1/2 x)) x)) (sqrt.f64 (/.f64 (+.f64 x (/.f64 1/2 x)) x)))
(*.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (*.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x (/.f64 1/2 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (/.f64 1/2 x)) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (/.f64 1/2 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 x (/.f64 1/2 x)) x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) (*.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) (/.f64 1 x)))
(*.f64 (/.f64 1 x) (+.f64 x (/.f64 1/2 x)))
(*.f64 (-.f64 (neg.f64 x) (/.f64 1/2 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x (/.f64 1/2 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x (/.f64 1/2 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) 1) (/.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x (/.f64 1/2 x))) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 x (/.f64 1/2 x)) x)))
(pow.f64 (/.f64 (+.f64 x (/.f64 1/2 x)) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x (/.f64 1/2 x)) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x (/.f64 1/2 x)) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x (/.f64 1/2 x)) x) 3) 1/3)
(pow.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) -1)
(neg.f64 (/.f64 (+.f64 x (/.f64 1/2 x)) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x (/.f64 1/2 x)) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x (/.f64 1/2 x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (/.f64 1/2 x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x (/.f64 1/2 x)) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x (/.f64 1/2 x)) x)))
(exp.f64 (log.f64 (/.f64 (+.f64 x (/.f64 1/2 x)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (/.f64 1/2 x)) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x (/.f64 1/2 x)) x)))
Outputs
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(/.f64 1/2 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/2 x) x)
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x))))
(fma.f64 2 (pow.f64 x 3) (-.f64 (/.f64 1/2 x) x))
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 -4 (pow.f64 x 5)))))
(fma.f64 2 (pow.f64 x 3) (+.f64 (-.f64 (/.f64 1/2 x) x) (*.f64 -4 (pow.f64 x 5))))
(fma.f64 2 (pow.f64 x 3) (-.f64 (fma.f64 -4 (pow.f64 x 5) (/.f64 1/2 x)) x))
(/.f64 1/4 (pow.f64 x 3))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 3))) (*.f64 1/8 (/.f64 1 (pow.f64 x 5))))
(-.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 5)))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 5)))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 7))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/8 (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 1/16 (pow.f64 x 7)) (-.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 5))))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (/.f64 1/16 (pow.f64 x 7)) (/.f64 -1/8 (pow.f64 x 5))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 7))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 9))) (*.f64 1/8 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 1/16 (pow.f64 x 7)) (-.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (/.f64 1/8 (pow.f64 x 5)) (/.f64 1/32 (pow.f64 x 9)))))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (-.f64 (/.f64 1/16 (pow.f64 x 7)) (+.f64 (/.f64 1/8 (pow.f64 x 5)) (/.f64 1/32 (pow.f64 x 9)))))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (/.f64 1/16 (pow.f64 x 7)) (-.f64 (/.f64 -1/8 (pow.f64 x 5)) (/.f64 1/32 (pow.f64 x 9)))))
(/.f64 1/4 (pow.f64 x 3))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 3))) (*.f64 1/8 (/.f64 1 (pow.f64 x 5))))
(-.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 5)))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 5)))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 7))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/8 (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 1/16 (pow.f64 x 7)) (-.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 5))))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (/.f64 1/16 (pow.f64 x 7)) (/.f64 -1/8 (pow.f64 x 5))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 7))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/32 (/.f64 1 (pow.f64 x 9))) (*.f64 1/8 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 1/16 (pow.f64 x 7)) (-.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (/.f64 1/8 (pow.f64 x 5)) (/.f64 1/32 (pow.f64 x 9)))))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (-.f64 (/.f64 1/16 (pow.f64 x 7)) (+.f64 (/.f64 1/8 (pow.f64 x 5)) (/.f64 1/32 (pow.f64 x 9)))))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (/.f64 1/16 (pow.f64 x 7)) (-.f64 (/.f64 -1/8 (pow.f64 x 5)) (/.f64 1/32 (pow.f64 x 9)))))
x
(+.f64 (*.f64 2 (pow.f64 x 3)) x)
(fma.f64 2 (pow.f64 x 3) x)
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 -4 (pow.f64 x 5)) x))
(fma.f64 2 (pow.f64 x 3) (fma.f64 -4 (pow.f64 x 5) x))
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 8 (pow.f64 x 7)) (+.f64 (*.f64 -4 (pow.f64 x 5)) x)))
(fma.f64 2 (pow.f64 x 3) (fma.f64 8 (pow.f64 x 7) (fma.f64 -4 (pow.f64 x 5) x)))
(fma.f64 2 (pow.f64 x 3) (fma.f64 (pow.f64 x 7) 8 (fma.f64 -4 (pow.f64 x 5) x)))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 -1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (+.f64 (*.f64 2 x) (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (fma.f64 2 x (/.f64 1/4 (pow.f64 x 3))) (/.f64 -1/2 x))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (fma.f64 x 2 (/.f64 -1/2 x)))
(-.f64 (+.f64 (*.f64 2 x) (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (fma.f64 2 x (/.f64 1/4 (pow.f64 x 3))) (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 5))))
(+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 3)) (fma.f64 x 2 (/.f64 -1/2 x))) (/.f64 -1/8 (pow.f64 x 5)))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 -1/8 (pow.f64 x 5))))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 -1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (+.f64 (*.f64 2 x) (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (fma.f64 2 x (/.f64 1/4 (pow.f64 x 3))) (/.f64 -1/2 x))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (fma.f64 x 2 (/.f64 -1/2 x)))
(-.f64 (+.f64 (*.f64 2 x) (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (fma.f64 2 x (/.f64 1/4 (pow.f64 x 3))) (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 5))))
(+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 3)) (fma.f64 x 2 (/.f64 -1/2 x))) (/.f64 -1/8 (pow.f64 x 5)))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 -1/8 (pow.f64 x 5))))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x -2))
(+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 1/2 (*.f64 x x)))
(fma.f64 1/2 (pow.f64 x -2) 1)
(+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 1/2 (*.f64 x x)))
(fma.f64 1/2 (pow.f64 x -2) 1)
(+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 1/2 (*.f64 x x)))
(fma.f64 1/2 (pow.f64 x -2) 1)
1
(+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 1/2 (*.f64 x x)))
(fma.f64 1/2 (pow.f64 x -2) 1)
(+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 1/2 (*.f64 x x)))
(fma.f64 1/2 (pow.f64 x -2) 1)
(+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 1/2 (*.f64 x x)))
(fma.f64 1/2 (pow.f64 x -2) 1)
1
(+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 1/2 (*.f64 x x)))
(fma.f64 1/2 (pow.f64 x -2) 1)
(+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 1/2 (*.f64 x x)))
(fma.f64 1/2 (pow.f64 x -2) 1)
(+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 1/2 (*.f64 x x)))
(fma.f64 1/2 (pow.f64 x -2) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 x -2)))) 1)
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(*.f64 1/4 (*.f64 (/.f64 1 x) (/.f64 1 x)))
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(*.f64 (*.f64 1/4 (pow.f64 x -2)) 1)
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(*.f64 1/2 (*.f64 (/.f64 1 x) (/.f64 1/2 x)))
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(*.f64 (/.f64 1/2 x) (/.f64 1/2 x))
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(*.f64 1 (*.f64 1/4 (pow.f64 x -2)))
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(*.f64 (sqrt.f64 (/.f64 1/2 x)) (*.f64 (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)))
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (*.f64 (cbrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)))
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(*.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))))
(*.f64 (/.f64 1/4 x) (/.f64 1 x))
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(*.f64 (pow.f64 x -2) 1/4)
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(*.f64 -1/4 (/.f64 1 (*.f64 x (neg.f64 x))))
(/.f64 -1/4 (*.f64 x (neg.f64 x)))
(/.f64 -1/4 (neg.f64 (*.f64 x x)))
(*.f64 (*.f64 (/.f64 1/2 x) (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)))
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(*.f64 (*.f64 (/.f64 1/2 x) 1/2) (/.f64 1 x))
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
(*.f64 (*.f64 (/.f64 1/2 x) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2)) (cbrt.f64 (/.f64 1/2 x)))
(/.f64 1/4 (*.f64 x x))
(pow.f64 (/.f64 1/2 x) 2)
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(fma.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x))) x)
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(fma.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x))) x)
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(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x))))) 2) (cbrt.f64 (*.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x))))) x)
(fma.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x)))))
(fma.f64 x (/.f64 x (+.f64 x (/.f64 1/2 x))) x)
(fma.f64 (/.f64 x (+.f64 x (/.f64 1/2 x))) x x)
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(+.f64 (*.f64 (/.f64 1 x) (/.f64 1/2 x)) (*.f64 (/.f64 1 x) x))
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (/.f64 1/2 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 x (/.f64 1/2 x)) x)))
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(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) (*.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) (/.f64 1 x)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) x))
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(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1/2 x))) 2) (cbrt.f64 (/.f64 (+.f64 x (/.f64 1/2 x)) x))) (pow.f64 (cbrt.f64 x) 2))
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(*.f64 (-.f64 (neg.f64 x) (/.f64 1/2 x)) (/.f64 1 (neg.f64 x)))
(/.f64 (fma.f64 x -1 (/.f64 -1/2 x)) (neg.f64 x))
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(sqrt.f64 (pow.f64 (/.f64 (+.f64 x (/.f64 1/2 x)) x) 2))
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(log.f64 (exp.f64 (/.f64 (+.f64 x (/.f64 1/2 x)) x)))
(+.f64 1 (/.f64 1/2 (*.f64 x x)))
(fma.f64 1/2 (pow.f64 x -2) 1)
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(+.f64 1 (/.f64 1/2 (*.f64 x x)))
(fma.f64 1/2 (pow.f64 x -2) 1)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x (/.f64 1/2 x)) x) 3))
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(fma.f64 1/2 (pow.f64 x -2) 1)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3)))
(+.f64 1 (/.f64 1/2 (*.f64 x x)))
(fma.f64 1/2 (pow.f64 x -2) 1)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x (/.f64 1/2 x)) x)))
(+.f64 1 (/.f64 1/2 (*.f64 x x)))
(fma.f64 1/2 (pow.f64 x -2) 1)
(exp.f64 (log.f64 (/.f64 (+.f64 x (/.f64 1/2 x)) x)))
(+.f64 1 (/.f64 1/2 (*.f64 x x)))
(fma.f64 1/2 (pow.f64 x -2) 1)
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (/.f64 1/2 x)) x)) 1))
(+.f64 1 (/.f64 1/2 (*.f64 x x)))
(fma.f64 1/2 (pow.f64 x -2) 1)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x (/.f64 1/2 x)) x)))
(+.f64 1 (/.f64 1/2 (*.f64 x x)))
(fma.f64 1/2 (pow.f64 x -2) 1)

eval126.0ms (3.5%)

Compiler

Compiled 8383 to 5567 computations (33.6% saved)

prune37.0ms (1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New2591260
Fresh000
Picked011
Done033
Total2595264
Error
0b
Counts
264 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.4b
(log.f64 (-.f64 (-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) (/.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 x (/.f64 1/2 x)))))
✓0.4b
(log.f64 (-.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 x (/.f64 1/2 x)) x))) (/.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 x (/.f64 1/2 x)))))
✓0.4b
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓35.5b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓0.7b
(log.f64 (+.f64 x x))
Compiler

Compiled 72 to 49 computations (31.9% saved)

localize35.0ms (1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 x (/.f64 1/2 x)))
0.4b
(/.f64 1/4 (*.f64 x x))
Compiler

Compiled 96 to 63 computations (34.4% saved)

eval77.0ms (2.2%)

Compiler

Compiled 4295 to 3319 computations (22.7% saved)

prune18.0ms (0.5%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New1340134
Fresh000
Picked011
Done044
Total1345139
Error
0b
Counts
139 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.4b
(log.f64 (-.f64 (-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) (/.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 x (/.f64 1/2 x)))))
✓0.4b
(log.f64 (-.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 x (/.f64 1/2 x)) x))) (/.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 x (/.f64 1/2 x)))))
✓0.4b
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓35.5b
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓0.7b
(log.f64 (+.f64 x x))
Compiler

Compiled 72 to 49 computations (31.9% saved)

regimes14.0ms (0.4%)

Counts
5 → 1
Calls
Call 1
Inputs
(log.f64 (+.f64 x x))
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(log.f64 (-.f64 (-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) (/.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 x (/.f64 1/2 x)))))
(log.f64 (-.f64 (+.f64 x (/.f64 x (/.f64 (+.f64 x (/.f64 1/2 x)) x))) (/.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 x (/.f64 1/2 x)))))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Outputs
(log.f64 (-.f64 (-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) (/.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 x (/.f64 1/2 x)))))
Calls

3 calls:

4.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
4.0ms
x
3.0ms
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
Results
ErrorSegmentsBranch
0.4b1x
0.4b1(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
0.4b1(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
Compiler

Compiled 89 to 57 computations (36% saved)

regimes5.0ms (0.1%)

Accuracy

Total -0.3b remaining (-89.8%)

Threshold costs -0.3b (-89.8%)

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

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
0.4b1x
Compiler

Compiled 15 to 9 computations (40% saved)

simplify6.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
22×+-commutative
16×*-commutative
14×sub-neg
10×neg-mul-1
10×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02499
14099
25899
37399
48099
58299
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(log.f64 (-.f64 (-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) (/.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 x (/.f64 1/2 x)))))
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x x))
Outputs
(log.f64 (-.f64 (-.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 1 x))) (/.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 x (/.f64 1/2 x)))))
(log.f64 (-.f64 (+.f64 (*.f64 2 x) (*.f64 -1/2 (/.f64 1 x))) (/.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 x (/.f64 1/2 x)))))
(log.f64 (-.f64 (+.f64 (*.f64 2 x) (*.f64 (/.f64 1 x) -1/2)) (/.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 x (/.f64 1/2 x)))))
(log.f64 (+.f64 (+.f64 (*.f64 2 x) (*.f64 1/2 (/.f64 -1 x))) (/.f64 (/.f64 -1/4 (*.f64 x x)) (+.f64 x (/.f64 1/2 x)))))
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
(log.f64 (+.f64 x x))
Compiler

Compiled 37 to 26 computations (29.7% saved)

soundness73.0ms (2%)

Algorithm
1×egg-herbie
Rules
1502×associate-/r*
952×associate-*r/
782×associate-*l/
672×+-commutative
642×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03787096
19866194
237646006
Stop Event
1×node limit
Compiler

Compiled 29 to 20 computations (31% saved)

end26.0ms (0.7%)

Compiler

Compiled 35 to 24 computations (31.4% saved)

Profiling

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