Hyperbolic arc-(co)secant

Time bar (total: 4.1s)

analyze4.0ms (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
0%0%50%0%0%50%0%3
33.3%12.5%25%0%0%62.5%0%4
60%18.7%12.5%0%0%68.7%0%5
77.8%21.9%6.2%0%0%71.8%0%6
88.2%23.4%3.1%0%0%73.4%0%7
93.9%24.2%1.6%0%0%74.2%0%8
96.9%24.6%0.8%0%0%74.6%0%9
98.4%24.8%0.4%0%0%74.8%0%10
99.2%24.9%0.2%0%0%74.9%0%11
99.6%24.9%0.1%0%0%74.9%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.3s (32.5%)

Results
1.3s8256×body256valid
2.0ms23×body256invalid
Bogosity

preprocess239.0ms (5.9%)

Algorithm
1×egg-herbie
Rules
1658×fma-def
1174×sub-neg
1140×distribute-lft-out
862×associate-+r+
718×*-commutative
Problems
256×No Errors
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023224
144216
268216
3127216
4185216
5270216
6398216
7673216
81288216
92175216
104840216
116487216
127252216
137550216
147606216
157638216
167889216
Stop Event
1×node limit
Calls
Call 1
Inputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (neg.f64 x))))
(neg.f64 (log.f64 (+.f64 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (neg.f64 x)))))
Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (neg.f64 x))))
(log.f64 (+.f64 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x))))
(log.f64 (+.f64 (/.f64 -1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x))))
(neg.f64 (log.f64 (+.f64 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (neg.f64 x)))))
(neg.f64 (log.f64 (+.f64 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x)))))
(neg.f64 (log.f64 (+.f64 (/.f64 -1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x)))))
Compiler

Compiled 68 to 40 computations (41.2% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Compiler

Compiled 28 to 20 computations (28.6% saved)

localize82.0ms (2%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
✓100.0%
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
Compiler

Compiled 54 to 30 computations (44.4% saved)

series2.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite131.0ms (3.2%)

Algorithm
1×batch-egg-rewrite
Rules
972×log1p-expm1-u
972×expm1-log1p-u
864×log-prod
830×fma-def
324×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01373
118670
2275670
Stop Event
1×node limit
Counts
2 → 119
Calls
Call 1
Inputs
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) 1)
(-.f64 (/.f64 (pow.f64 x -2) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)) (/.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2)) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)))
(*.f64 1 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) 1))
(*.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 1)
(*.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) 2) (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) (sqrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(*.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) (pow.f64 x -2))
(*.f64 (fma.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (/.f64 1 (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 x 2))))))
(*.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2))) (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)))
(*.f64 (+.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) 1) (/.f64 1 x))
(/.f64 1 (/.f64 (pow.f64 x 2) (fma.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 x 2)))) (fma.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2) (pow.f64 x -3) (pow.f64 x -3))))
(/.f64 1 (/.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x) (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2)))))
(/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) (pow.f64 x 2))
(/.f64 (fma.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 x 2)))))
(/.f64 (fma.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (fma.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2) (-.f64 (pow.f64 x -2) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 x 2)))))
(/.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2))) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))
(/.f64 (+.f64 (/.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x) (*.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(/.f64 (fma.f64 -1 x (*.f64 x (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) (neg.f64 (pow.f64 x 2)))
(/.f64 (fma.f64 -1 (/.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (/.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(/.f64 (fma.f64 -1 x (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (neg.f64 (pow.f64 x 2)))
(/.f64 (fma.f64 -1 (neg.f64 x) (*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (+.f64 x (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 1)) (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))
(/.f64 (fma.f64 -1 x (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) -1)) (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (neg.f64 x)))
(/.f64 (fma.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (neg.f64 x) (*.f64 x -1)) (neg.f64 (pow.f64 x 2)))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x (*.f64 (neg.f64 x) 1)) (neg.f64 (pow.f64 x 2)))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (neg.f64 x) (*.f64 (neg.f64 x) -1)) (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (neg.f64 (pow.f64 x 2)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2) (pow.f64 x -3) (pow.f64 x -3))) (neg.f64 (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 x 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2)))) (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)))
(/.f64 (fma.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2) (neg.f64 (pow.f64 x -2))) (-.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) (/.f64 1 x)))
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) 1) (pow.f64 x 2))
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) x) x)
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) 2)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(log.f64 (*.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))) (exp.f64 (/.f64 1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(fma.f64 1 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(fma.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) (/.f64 1 x))
(fma.f64 (/.f64 1 x) 1 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(fma.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(fma.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 1 x) (/.f64 1 x))
(fma.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) 1 (/.f64 1 x))
(fma.f64 -1 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(fma.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (/.f64 1 x)) (/.f64 1 x))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(fma.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2))) (/.f64 1 x))
(fma.f64 (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(fma.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 x)) (/.f64 1 x))
(fma.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (/.f64 1 x))
(fma.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (*.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (/.f64 1 x)) (/.f64 1 x))
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (/.f64 1 (neg.f64 x)) (/.f64 1 x))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 x) -1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(fma.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (cbrt.f64 x)) (/.f64 1 x))
(fma.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x) (/.f64 1 x))
(fma.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (/.f64 1 x))
(fma.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (sqrt.f64 x)) (/.f64 1 x))
(fma.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) x) (/.f64 1 x))
(fma.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (cbrt.f64 x)) (/.f64 1 x))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (/.f64 1 x))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x))
(+.f64 0 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))) 1)
(*.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (pow.f64 x 2))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) 1)
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2))))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))
(*.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (*.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (/.f64 1 x)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) x))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (cbrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) 2)
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) -1)
(neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (neg.f64 x)))
(sqrt.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))

simplify83.0ms (2%)

Algorithm
1×egg-herbie
Rules
828×unswap-sqr
702×distribute-lft-in
690×distribute-rgt-in
656×associate-*r/
478×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03357498
18656981
228026857
Stop Event
1×node limit
Counts
143 → 226
Calls
Call 1
Inputs
(/.f64 2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/16 (pow.f64 x 5)) (*.f64 2 (/.f64 1 x)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 x)))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(*.f64 -1 (sqrt.f64 -1))
(+.f64 (*.f64 -1 (sqrt.f64 -1)) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (sqrt.f64 -1)) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (+.f64 (*.f64 -1 (sqrt.f64 -1)) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(/.f64 1 x)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/16 (pow.f64 x 5)) (/.f64 1 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(*.f64 -1 (sqrt.f64 -1))
(-.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (+.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (+.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) 1)
(-.f64 (/.f64 (pow.f64 x -2) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)) (/.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2)) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)))
(*.f64 1 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) 1))
(*.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 1)
(*.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) 2) (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) (sqrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(*.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) (pow.f64 x -2))
(*.f64 (fma.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (/.f64 1 (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 x 2))))))
(*.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2))) (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)))
(*.f64 (+.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) 1) (/.f64 1 x))
(/.f64 1 (/.f64 (pow.f64 x 2) (fma.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 x 2)))) (fma.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2) (pow.f64 x -3) (pow.f64 x -3))))
(/.f64 1 (/.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x) (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2)))))
(/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) (pow.f64 x 2))
(/.f64 (fma.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 x 2)))))
(/.f64 (fma.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (fma.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2) (-.f64 (pow.f64 x -2) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 x 2)))))
(/.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2))) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))
(/.f64 (+.f64 (/.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x) (*.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(/.f64 (fma.f64 -1 x (*.f64 x (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) (neg.f64 (pow.f64 x 2)))
(/.f64 (fma.f64 -1 (/.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (/.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(/.f64 (fma.f64 -1 x (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (neg.f64 (pow.f64 x 2)))
(/.f64 (fma.f64 -1 (neg.f64 x) (*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (+.f64 x (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) 1)) (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))
(/.f64 (fma.f64 -1 x (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) -1)) (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (neg.f64 x)))
(/.f64 (fma.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (neg.f64 x) (*.f64 x -1)) (neg.f64 (pow.f64 x 2)))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x (*.f64 (neg.f64 x) 1)) (neg.f64 (pow.f64 x 2)))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (neg.f64 x) (*.f64 (neg.f64 x) -1)) (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (neg.f64 (pow.f64 x 2)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2) (pow.f64 x -3) (pow.f64 x -3))) (neg.f64 (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 x 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2)))) (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)))
(/.f64 (fma.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2) (neg.f64 (pow.f64 x -2))) (-.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) (/.f64 1 x)))
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) 1) (pow.f64 x 2))
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) x) x)
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) 2)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(log.f64 (*.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))))
(log.f64 (*.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))) (exp.f64 (/.f64 1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(fma.f64 1 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(fma.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) (/.f64 1 x))
(fma.f64 (/.f64 1 x) 1 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(fma.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(fma.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 1 x) (/.f64 1 x))
(fma.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) 1 (/.f64 1 x))
(fma.f64 -1 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(fma.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (/.f64 1 x)) (/.f64 1 x))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(fma.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2))) (/.f64 1 x))
(fma.f64 (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(fma.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 x)) (/.f64 1 x))
(fma.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (/.f64 1 x))
(fma.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (*.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (/.f64 1 x)) (/.f64 1 x))
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (/.f64 1 (neg.f64 x)) (/.f64 1 x))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 x) -1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(fma.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (cbrt.f64 x)) (/.f64 1 x))
(fma.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x) (/.f64 1 x))
(fma.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (/.f64 1 x))
(fma.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (sqrt.f64 x)) (/.f64 1 x))
(fma.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) x) (/.f64 1 x))
(fma.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (cbrt.f64 x)) (/.f64 1 x))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (/.f64 1 x))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x))
(+.f64 0 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))) 1)
(*.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (pow.f64 x 2))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) 1)
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2))))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))
(*.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (*.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (/.f64 1 x)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) x))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (cbrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) 2)
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) -1)
(neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (neg.f64 x)))
(sqrt.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))
Outputs
(/.f64 2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(fma.f64 -1/2 x (fma.f64 -1/8 (pow.f64 x 3) (/.f64 2 x)))
(fma.f64 x -1/2 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 2 x)))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/16 (pow.f64 x 5)) (*.f64 2 (/.f64 1 x)))))
(fma.f64 -1/2 x (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/16 (pow.f64 x 5) (/.f64 2 x))))
(fma.f64 x -1/2 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/16 (pow.f64 x 5) (/.f64 2 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (/.f64 1 x) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 x)))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (/.f64 1 x) (+.f64 (sqrt.f64 -1) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (/.f64 1 x) (fma.f64 1/2 (/.f64 (pow.f64 x -2) (sqrt.f64 -1)) (sqrt.f64 -1)))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (sqrt.f64 -1) (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (sqrt.f64 -1) (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (/.f64 (/.f64 1/8 (pow.f64 x 4)) (neg.f64 (sqrt.f64 -1)))))
(+.f64 (+.f64 (/.f64 1 x) (fma.f64 1/2 (/.f64 (pow.f64 x -2) (sqrt.f64 -1)) (sqrt.f64 -1))) (/.f64 -1/8 (*.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1)))))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(+.f64 (*.f64 -1 (sqrt.f64 -1)) (/.f64 1 x))
(fma.f64 -1 (sqrt.f64 -1) (/.f64 1 x))
(-.f64 (/.f64 1 x) (sqrt.f64 -1))
(-.f64 (+.f64 (*.f64 -1 (sqrt.f64 -1)) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 1 x)) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))
(+.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (fma.f64 1/2 (/.f64 (pow.f64 x -2) (sqrt.f64 -1)) (sqrt.f64 -1)))
(-.f64 (+.f64 (*.f64 -1 (sqrt.f64 -1)) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (+.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1 x)) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))
(+.f64 (+.f64 (/.f64 1 x) (-.f64 (/.f64 (/.f64 1/8 (pow.f64 x 4)) (neg.f64 (sqrt.f64 -1))) (sqrt.f64 -1))) (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/8 (*.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1)))) (fma.f64 1/2 (/.f64 (pow.f64 x -2) (sqrt.f64 -1)) (sqrt.f64 -1))))
(/.f64 1 x)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(fma.f64 -1/2 x (/.f64 1 x))
(fma.f64 x -1/2 (/.f64 1 x))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (/.f64 1 x)))
(fma.f64 -1/2 x (fma.f64 -1/8 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x -1/2 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/16 (pow.f64 x 5)) (/.f64 1 x))))
(fma.f64 -1/2 x (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/16 (pow.f64 x 5) (/.f64 1 x))))
(fma.f64 x -1/2 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/16 (pow.f64 x 5) (/.f64 1 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))
(fma.f64 1/2 (/.f64 (pow.f64 x -2) (sqrt.f64 -1)) (sqrt.f64 -1))
(-.f64 (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (sqrt.f64 -1) (-.f64 (/.f64 1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (/.f64 1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))) (-.f64 (sqrt.f64 -1) (/.f64 (/.f64 1/8 (pow.f64 x 4)) (neg.f64 (sqrt.f64 -1)))))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x -2) (sqrt.f64 -1)) (sqrt.f64 -1)) (/.f64 -1/8 (*.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1)))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (sqrt.f64 -1) (-.f64 (+.f64 (/.f64 1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))) (/.f64 1/16 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))) (-.f64 (/.f64 1/16 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 (/.f64 1/8 (pow.f64 x 4)) (neg.f64 (sqrt.f64 -1))))))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x -2) (sqrt.f64 -1)) (sqrt.f64 -1)) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 -1/8 (*.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))))))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(-.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))
(fma.f64 -1 (sqrt.f64 -1) (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))
(-.f64 (*.f64 -1/2 (/.f64 (pow.f64 x -2) (sqrt.f64 -1))) (sqrt.f64 -1))
(-.f64 (+.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))
(+.f64 (-.f64 (/.f64 (/.f64 1/8 (pow.f64 x 4)) (neg.f64 (sqrt.f64 -1))) (sqrt.f64 -1)) (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))
(-.f64 (/.f64 1/8 (*.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1)))) (fma.f64 1/2 (/.f64 (pow.f64 x -2) (sqrt.f64 -1)) (sqrt.f64 -1)))
(-.f64 (+.f64 (*.f64 -1 (sqrt.f64 -1)) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(-.f64 (-.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1/16 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))
(+.f64 (-.f64 (-.f64 (/.f64 (/.f64 1/8 (pow.f64 x 4)) (neg.f64 (sqrt.f64 -1))) (sqrt.f64 -1)) (/.f64 1/16 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 -1/2 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))
(+.f64 (-.f64 (/.f64 1/8 (*.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1)))) (fma.f64 1/2 (/.f64 (pow.f64 x -2) (sqrt.f64 -1)) (sqrt.f64 -1))) (/.f64 -1/16 (*.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))) 1)
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(-.f64 (/.f64 (pow.f64 x -2) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)) (/.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2)) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)))
(/.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2))) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))
(*.f64 (*.f64 (+.f64 (+.f64 -1 (pow.f64 x 2)) 1) (pow.f64 x -2)) (/.f64 x (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(/.f64 (*.f64 (pow.f64 x -2) (+.f64 (neg.f64 (pow.f64 x 2)) 0)) (/.f64 (+.f64 -1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))
(*.f64 1 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(*.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) 1))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(*.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) 1)
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(*.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) 2))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) 2) (cbrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(*.f64 (sqrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) (sqrt.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(*.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) (pow.f64 x -2))
(*.f64 (pow.f64 x -2) (fma.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(*.f64 (fma.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (/.f64 1 (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 x 2))))))
(*.f64 (fma.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 x 2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2) 1) (pow.f64 x -3)) (-.f64 (*.f64 (+.f64 (-.f64 1 (pow.f64 x 2)) 1) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 x 2))))
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 3/2) 1) (pow.f64 x -3)) (-.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 x 2)) 2) (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 x 2))))
(*.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2))) (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)))
(/.f64 (-.f64 (pow.f64 x -2) (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2))) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))
(*.f64 (*.f64 (+.f64 (+.f64 -1 (pow.f64 x 2)) 1) (pow.f64 x -2)) (/.f64 x (-.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
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(fma.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(fma.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 1 x) (/.f64 1 x))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(fma.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) 1 (/.f64 1 x))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(fma.f64 -1 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(fma.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (/.f64 1 x)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (*.f64 (/.f64 1 x) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (/.f64 1 x))
(fma.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x) (/.f64 1 x))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(+.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(+.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2))) (/.f64 1 x))
(fma.f64 (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2))) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(fma.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 x)) (/.f64 1 x))
(fma.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (/.f64 1 x))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(fma.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (*.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (/.f64 1 x)) (/.f64 1 x))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (/.f64 1 (neg.f64 x)) (/.f64 1 x))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 x) -1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(+.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) (/.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(fma.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(fma.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(+.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) (pow.f64 (sqrt.f64 x) -2))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (cbrt.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(fma.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x) (/.f64 1 x))
(fma.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (*.f64 (/.f64 1 x) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (/.f64 1 x))
(fma.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x) (/.f64 1 x))
(fma.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 x))
(fma.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (sqrt.f64 x)) (/.f64 1 x))
(fma.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) x) (/.f64 1 x))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(fma.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (cbrt.f64 x)) (/.f64 1 x))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (cbrt.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)) (/.f64 1 x))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x))
(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
(+.f64 0 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))) 1)
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)
(*.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)
(*.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (pow.f64 x 2))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) 1)
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (/.f64 1 x)))
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (/.f64 1 x))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2))))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2))))
(*.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 x)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 (sqrt.f64 x) (pow.f64 x -1/2)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)
(*.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (*.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (/.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)
(*.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (/.f64 1 (neg.f64 x)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (cbrt.f64 x)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))) (/.f64 1 x))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (sqrt.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 2))) (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) x))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)
(*.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (pow.f64 x 2)) 1/4) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (cbrt.f64 x)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 x))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) 1)
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) 3)
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) 3) 1/3)
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) 2)
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) -1)
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)
(neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) (neg.f64 x)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)
(sqrt.f64 (*.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x -2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x) 3))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)) 1))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))) x)

eval100.0ms (2.5%)

Compiler

Compiled 4592 to 3708 computations (19.3% saved)

prune43.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2233226
Fresh000
Picked011
Done000
Total2234227
Accuracy
100.0%
Counts
227 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶60.5%
(log.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (neg.f64 x) (*.f64 (neg.f64 x) -1)) (*.f64 (neg.f64 x) (neg.f64 x))))
▶99.3%
(log.f64 (/.f64 2 x))
✓100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶99.8%
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
▶60.5%
(log.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (neg.f64 x) (*.f64 (neg.f64 x) -1)) (*.f64 (neg.f64 x) (neg.f64 x))))
▶99.3%
(log.f64 (/.f64 2 x))
✓100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶99.8%
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
Compiler

Compiled 104 to 74 computations (28.8% saved)

localize191.0ms (4.7%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
✓61.6%
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (neg.f64 x) (*.f64 (neg.f64 x) -1)) (*.f64 (neg.f64 x) (neg.f64 x)))
✓100.0%
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
✓100.0%
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
Compiler

Compiled 136 to 88 computations (35.3% saved)

series4.0ms (0.1%)

Counts
3 → 27
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
1.0ms
x
@inf
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
0.0ms
x
@-inf
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
0.0ms
x
@0
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
0.0ms
x
@-inf
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (neg.f64 x) (*.f64 (neg.f64 x) -1)) (*.f64 (neg.f64 x) (neg.f64 x)))

rewrite88.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
836×log1p-expm1-u
836×expm1-log1p-u
424×expm1-udef
424×log1p-udef
234×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025113
135895
2464595
Stop Event
1×node limit
Counts
3 → 95
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (neg.f64 x) (*.f64 (neg.f64 x) -1)) (*.f64 (neg.f64 x) (neg.f64 x)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 (*.f64 -1/2 x) (/.f64 2 x))) (/.f64 (*.f64 (pow.f64 x -2) 4) (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))
(*.f64 1 (fma.f64 -1/2 x (/.f64 2 x)))
(*.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)
(*.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2) (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(*.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(*.f64 (+.f64 (pow.f64 (/.f64 2 x) 3) (pow.f64 (*.f64 -1/2 x) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x))))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x -2) 4)) (/.f64 1 (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)))) (+.f64 (pow.f64 (/.f64 2 x) 3) (pow.f64 (*.f64 -1/2 x) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x)) (-.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x -2) 4))))
(/.f64 (+.f64 (pow.f64 (/.f64 2 x) 3) (pow.f64 (*.f64 -1/2 x) 3)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 2 x) 3) (pow.f64 (*.f64 -1/2 x) 3)) (+.f64 (*.f64 (pow.f64 x -2) 4) (-.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (*.f64 -1/2 x) (/.f64 2 x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x -2) 4)) (-.f64 (*.f64 -1/2 x) (/.f64 2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 2 x) 3) (pow.f64 (*.f64 -1/2 x) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x -2) 4))) (neg.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x -2) 4) (*.f64 (pow.f64 x 2) 1/4)) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)))
(pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(exp.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 2 (/.f64 1 x) (*.f64 -1/2 x))
(fma.f64 1 (*.f64 -1/2 x) (/.f64 2 x))
(fma.f64 1 (/.f64 2 x) (*.f64 -1/2 x))
(fma.f64 (/.f64 1 x) 2 (*.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (cbrt.f64 (/.f64 2 x)) (*.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 x)) 2) (cbrt.f64 (*.f64 -1/2 x)) (/.f64 2 x))
(fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (*.f64 -1/2 x))
(fma.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (*.f64 -1/2 x)) (/.f64 2 x))
(+.f64 0 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)) (log.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (/.f64 2 x) 3) (pow.f64 (*.f64 -1/2 x) 3))) (log.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x))))))
(-.f64 (log.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x -2) 4))) (log.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))
(*.f64 1 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(*.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 1))
(log1p.f64 (-.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2)))) 1)
(*.f64 1 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2)))
(*.f64 (/.f64 1 x) (/.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) x))
(*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2))
(*.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2)) 1)
(*.f64 (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) 2) (*.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) (pow.f64 x -2)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) x) (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) x))
(*.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) (*.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) (pow.f64 x -2)))
(*.f64 (pow.f64 x -2) (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x))
(*.f64 (/.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) x) (/.f64 1 x))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) 2) x) (/.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) (pow.f64 x 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) 1) (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) (pow.f64 (cbrt.f64 x) 2)))
(pow.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2))) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) x) 2)
(pow.f64 (/.f64 (pow.f64 x 2) (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) -1)
(neg.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2)))
(sqrt.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) 2) (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) 3) (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2))))

simplify70.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
760×distribute-rgt-in
758×distribute-lft-in
684×times-frac
486×cancel-sign-sub-inv
454×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03005131
17634601
226434215
Stop Event
1×node limit
Counts
122 → 200
Calls
Call 1
Inputs
(/.f64 2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 x)) (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 x)) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 x)) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/32 (pow.f64 x 4)) (*.f64 -1/192 (pow.f64 x 6))))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 64/3 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 64/3 (/.f64 1 (pow.f64 x 6))))))
(/.f64 2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/16 (pow.f64 x 5)) (*.f64 2 (/.f64 1 x)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 x)))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(*.f64 -1 (sqrt.f64 -1))
(+.f64 (*.f64 -1 (sqrt.f64 -1)) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (sqrt.f64 -1)) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (+.f64 (*.f64 -1 (sqrt.f64 -1)) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 (*.f64 -1/2 x) (/.f64 2 x))) (/.f64 (*.f64 (pow.f64 x -2) 4) (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))
(*.f64 1 (fma.f64 -1/2 x (/.f64 2 x)))
(*.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)
(*.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2) (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(*.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(*.f64 (+.f64 (pow.f64 (/.f64 2 x) 3) (pow.f64 (*.f64 -1/2 x) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x))))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x -2) 4)) (/.f64 1 (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)))) (+.f64 (pow.f64 (/.f64 2 x) 3) (pow.f64 (*.f64 -1/2 x) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x)) (-.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x -2) 4))))
(/.f64 (+.f64 (pow.f64 (/.f64 2 x) 3) (pow.f64 (*.f64 -1/2 x) 3)) (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 2 x) 3) (pow.f64 (*.f64 -1/2 x) 3)) (+.f64 (*.f64 (pow.f64 x -2) 4) (-.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (*.f64 -1/2 x) (/.f64 2 x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x -2) 4)) (-.f64 (*.f64 -1/2 x) (/.f64 2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 2 x) 3) (pow.f64 (*.f64 -1/2 x) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x -2) 4))) (neg.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x -2) 4) (*.f64 (pow.f64 x 2) 1/4)) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)))
(pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(exp.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 2 (/.f64 1 x) (*.f64 -1/2 x))
(fma.f64 1 (*.f64 -1/2 x) (/.f64 2 x))
(fma.f64 1 (/.f64 2 x) (*.f64 -1/2 x))
(fma.f64 (/.f64 1 x) 2 (*.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (cbrt.f64 (/.f64 2 x)) (*.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 x)) 2) (cbrt.f64 (*.f64 -1/2 x)) (/.f64 2 x))
(fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (*.f64 -1/2 x))
(fma.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (*.f64 -1/2 x)) (/.f64 2 x))
(+.f64 0 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)) (log.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (/.f64 2 x) 3) (pow.f64 (*.f64 -1/2 x) 3))) (log.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x))))))
(-.f64 (log.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x -2) 4))) (log.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))
(*.f64 1 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(*.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 1))
(log1p.f64 (-.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2)))) 1)
(*.f64 1 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2)))
(*.f64 (/.f64 1 x) (/.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) x))
(*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2))
(*.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2)) 1)
(*.f64 (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) 2) (*.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) (pow.f64 x -2)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) x) (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) x))
(*.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) (*.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) (pow.f64 x -2)))
(*.f64 (pow.f64 x -2) (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x))
(*.f64 (/.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) x) (/.f64 1 x))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) 2) x) (/.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) (pow.f64 x 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) 1) (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) (pow.f64 x 2)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) (pow.f64 (cbrt.f64 x) 2)))
(pow.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2))) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) x) 2)
(pow.f64 (/.f64 (pow.f64 x 2) (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) -1)
(neg.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2)))
(sqrt.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) 2) (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) 3) (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2))))
Outputs
(/.f64 2 x)
(*.f64 -1/2 x)
(*.f64 x -1/2)
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 x)) (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (fma.f64 -1 (log.f64 x) (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (-.f64 (*.f64 -1/4 (pow.f64 x 2)) (log.f64 x)))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 x)) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (fma.f64 -1 (log.f64 x) (fma.f64 -1/4 (pow.f64 x 2) (*.f64 -1/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1/4 (pow.f64 x 2) (*.f64 -1/32 (pow.f64 x 4))) (log.f64 x)))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (fma.f64 -1/4 (pow.f64 x 2) (*.f64 -1/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 x)) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/32 (pow.f64 x 4)) (*.f64 -1/192 (pow.f64 x 6))))))
(+.f64 (log.f64 2) (fma.f64 -1 (log.f64 x) (fma.f64 -1/4 (pow.f64 x 2) (fma.f64 -1/32 (pow.f64 x 4) (*.f64 -1/192 (pow.f64 x 6))))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1/4 (pow.f64 x 2) (fma.f64 -1/32 (pow.f64 x 4) (*.f64 -1/192 (pow.f64 x 6)))) (log.f64 x)))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (fma.f64 -1/4 (pow.f64 x 2) (fma.f64 -1/192 (pow.f64 x 6) (*.f64 -1/32 (pow.f64 x 4)))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 x) (log.f64 -1/2))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 4 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 x) (/.f64 -4 (pow.f64 x 2))))
(+.f64 (log.f64 x) (+.f64 (log.f64 -1/2) (/.f64 -4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x)))) (+.f64 (/.f64 4 (pow.f64 x 2)) (/.f64 8 (pow.f64 x 4))))
(+.f64 (log.f64 -1/2) (-.f64 (+.f64 (log.f64 x) (/.f64 -4 (pow.f64 x 2))) (/.f64 8 (pow.f64 x 4))))
(+.f64 (+.f64 (log.f64 x) (+.f64 (log.f64 -1/2) (/.f64 -4 (pow.f64 x 2)))) (/.f64 -8 (pow.f64 x 4)))
(-.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 64/3 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x)))) (+.f64 (/.f64 4 (pow.f64 x 2)) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 64/3 (pow.f64 x 6)))))
(-.f64 (-.f64 (+.f64 (log.f64 -1/2) (+.f64 (log.f64 x) (/.f64 -4 (pow.f64 x 2)))) (/.f64 64/3 (pow.f64 x 6))) (/.f64 8 (pow.f64 x 4)))
(+.f64 (+.f64 (log.f64 x) (+.f64 (log.f64 -1/2) (/.f64 -4 (pow.f64 x 2)))) (+.f64 (/.f64 -8 (pow.f64 x 4)) (/.f64 -64/3 (pow.f64 x 6))))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 1/2) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (neg.f64 (log.f64 (/.f64 -1 x)))) (/.f64 4 (pow.f64 x 2)))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 -4 (pow.f64 x 2)))
(-.f64 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 1/2) (neg.f64 (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 4 (pow.f64 x 2)) (/.f64 8 (pow.f64 x 4))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (-.f64 (/.f64 -4 (pow.f64 x 2)) (/.f64 8 (pow.f64 x 4))))
(+.f64 (/.f64 -4 (pow.f64 x 2)) (+.f64 (/.f64 -8 (pow.f64 x 4)) (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))))
(-.f64 (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 64/3 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (-.f64 (+.f64 (log.f64 1/2) (neg.f64 (log.f64 (/.f64 -1 x)))) (/.f64 4 (pow.f64 x 2))) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 64/3 (pow.f64 x 6))))
(-.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 4 (pow.f64 x 2)) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 64/3 (pow.f64 x 6)))))
(+.f64 (+.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 -4 (pow.f64 x 2))) (+.f64 (/.f64 -8 (pow.f64 x 4)) (/.f64 -64/3 (pow.f64 x 6))))
(/.f64 2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (*.f64 2 (/.f64 1 x))))
(fma.f64 -1/2 x (fma.f64 -1/8 (pow.f64 x 3) (/.f64 2 x)))
(fma.f64 x -1/2 (fma.f64 -1/8 (pow.f64 x 3) (/.f64 2 x)))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/16 (pow.f64 x 5)) (*.f64 2 (/.f64 1 x)))))
(fma.f64 -1/2 x (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/16 (pow.f64 x 5) (/.f64 2 x))))
(fma.f64 x -1/2 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/16 (pow.f64 x 5) (/.f64 2 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (/.f64 1 x) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 x)))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (/.f64 1 x) (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1/2 (pow.f64 x 2)) (sqrt.f64 -1))))
(+.f64 (/.f64 1 x) (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 x 2))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (sqrt.f64 -1) (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 (pow.f64 x 2)) (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (/.f64 -1/8 (*.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))))))
(+.f64 (/.f64 1 x) (+.f64 (-.f64 (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 x 2)) (/.f64 1/8 (*.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))))) (sqrt.f64 -1)))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(+.f64 (*.f64 -1 (sqrt.f64 -1)) (/.f64 1 x))
(fma.f64 -1 (sqrt.f64 -1) (/.f64 1 x))
(-.f64 (/.f64 1 x) (sqrt.f64 -1))
(-.f64 (+.f64 (*.f64 -1 (sqrt.f64 -1)) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(-.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 1 x)) (/.f64 1/2 (*.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(-.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 (/.f64 1/2 (pow.f64 x 2)) (sqrt.f64 -1)))
(-.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 x 2)))
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(*.f64 (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2))) 2))
(*.f64 (pow.f64 x -2) (fma.f64 (sqrt.f64 (+.f64 (pow.f64 x 2) 1)) x x))
(*.f64 (pow.f64 x -2) (fma.f64 (hypot.f64 1 x) x x))
(*.f64 (/.f64 (+.f64 (hypot.f64 1 x) 1) x) 1)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2))) 2) (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2))))
(*.f64 (pow.f64 x -2) (fma.f64 (sqrt.f64 (+.f64 (pow.f64 x 2) 1)) x x))
(*.f64 (pow.f64 x -2) (fma.f64 (hypot.f64 1 x) x x))
(*.f64 (/.f64 (+.f64 (hypot.f64 1 x) 1) x) 1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) 2) (*.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) (pow.f64 x -2)))
(*.f64 (pow.f64 x -2) (fma.f64 (sqrt.f64 (+.f64 (pow.f64 x 2) 1)) x x))
(*.f64 (pow.f64 x -2) (fma.f64 (hypot.f64 1 x) x x))
(*.f64 (/.f64 (+.f64 (hypot.f64 1 x) 1) x) 1)
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) x) (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) x))
(*.f64 (pow.f64 x -2) (fma.f64 (sqrt.f64 (+.f64 (pow.f64 x 2) 1)) x x))
(*.f64 (pow.f64 x -2) (fma.f64 (hypot.f64 1 x) x x))
(*.f64 (/.f64 (+.f64 (hypot.f64 1 x) 1) x) 1)
(*.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) (*.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) (pow.f64 x -2)))
(*.f64 (pow.f64 x -2) (fma.f64 (sqrt.f64 (+.f64 (pow.f64 x 2) 1)) x x))
(*.f64 (pow.f64 x -2) (fma.f64 (hypot.f64 1 x) x x))
(*.f64 (/.f64 (+.f64 (hypot.f64 1 x) 1) x) 1)
(*.f64 (pow.f64 x -2) (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x))
(*.f64 (pow.f64 x -2) (fma.f64 (sqrt.f64 (+.f64 (pow.f64 x 2) 1)) x x))
(*.f64 (pow.f64 x -2) (fma.f64 (hypot.f64 1 x) x x))
(*.f64 (/.f64 (+.f64 (hypot.f64 1 x) 1) x) 1)
(*.f64 (/.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) x) (/.f64 1 x))
(*.f64 (pow.f64 x -2) (fma.f64 (sqrt.f64 (+.f64 (pow.f64 x 2) 1)) x x))
(*.f64 (pow.f64 x -2) (fma.f64 (hypot.f64 1 x) x x))
(*.f64 (/.f64 (+.f64 (hypot.f64 1 x) 1) x) 1)
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (fma.f64 (sqrt.f64 (+.f64 (pow.f64 x 2) 1)) x x) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (fma.f64 (hypot.f64 1 x) x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (/.f64 (fma.f64 (hypot.f64 1 x) x x) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) 2) x) (/.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) x))
(*.f64 (pow.f64 x -2) (fma.f64 (sqrt.f64 (+.f64 (pow.f64 x 2) 1)) x x))
(*.f64 (pow.f64 x -2) (fma.f64 (hypot.f64 1 x) x x))
(*.f64 (/.f64 (+.f64 (hypot.f64 1 x) 1) x) 1)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) (pow.f64 x 2)))
(*.f64 (pow.f64 x -2) (fma.f64 (sqrt.f64 (+.f64 (pow.f64 x 2) 1)) x x))
(*.f64 (pow.f64 x -2) (fma.f64 (hypot.f64 1 x) x x))
(*.f64 (/.f64 (+.f64 (hypot.f64 1 x) 1) x) 1)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) 2) (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (fma.f64 (sqrt.f64 (+.f64 (pow.f64 x 2) 1)) x x))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (+.f64 (pow.f64 x 2) 1)) x x)) 2) (cbrt.f64 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x -2) (fma.f64 (hypot.f64 1 x) x x))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (hypot.f64 1 x) x x)) 2) (cbrt.f64 (pow.f64 x 4))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 (hypot.f64 1 x) x x)) 2) (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 (/.f64 (+.f64 (hypot.f64 1 x) 1) x) 1))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) 1) (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) (pow.f64 x 2)))
(*.f64 (pow.f64 x -2) (fma.f64 (sqrt.f64 (+.f64 (pow.f64 x 2) 1)) x x))
(*.f64 (pow.f64 x -2) (fma.f64 (hypot.f64 1 x) x x))
(*.f64 (/.f64 (+.f64 (hypot.f64 1 x) 1) x) 1)
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) (cbrt.f64 (pow.f64 x 4))) (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 (fma.f64 (sqrt.f64 (+.f64 (pow.f64 x 2) 1)) x x) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 (fma.f64 (hypot.f64 1 x) x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
(/.f64 (/.f64 (fma.f64 (hypot.f64 1 x) x x) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2)) 1)
(*.f64 (pow.f64 x -2) (fma.f64 (sqrt.f64 (+.f64 (pow.f64 x 2) 1)) x x))
(*.f64 (pow.f64 x -2) (fma.f64 (hypot.f64 1 x) x x))
(*.f64 (/.f64 (+.f64 (hypot.f64 1 x) 1) x) 1)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2))) 3)
(*.f64 (pow.f64 x -2) (fma.f64 (sqrt.f64 (+.f64 (pow.f64 x 2) 1)) x x))
(*.f64 (pow.f64 x -2) (fma.f64 (hypot.f64 1 x) x x))
(*.f64 (/.f64 (+.f64 (hypot.f64 1 x) 1) x) 1)
(pow.f64 (pow.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2)) 3) 1/3)
(*.f64 (pow.f64 x -2) (fma.f64 (sqrt.f64 (+.f64 (pow.f64 x 2) 1)) x x))
(*.f64 (pow.f64 x -2) (fma.f64 (hypot.f64 1 x) x x))
(*.f64 (/.f64 (+.f64 (hypot.f64 1 x) 1) x) 1)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) x) 2)
(*.f64 (pow.f64 x -2) (fma.f64 (sqrt.f64 (+.f64 (pow.f64 x 2) 1)) x x))
(*.f64 (pow.f64 x -2) (fma.f64 (hypot.f64 1 x) x x))
(*.f64 (/.f64 (+.f64 (hypot.f64 1 x) 1) x) 1)
(pow.f64 (/.f64 (pow.f64 x 2) (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) -1)
(*.f64 (pow.f64 x -2) (fma.f64 (sqrt.f64 (+.f64 (pow.f64 x 2) 1)) x x))
(*.f64 (pow.f64 x -2) (fma.f64 (hypot.f64 1 x) x x))
(*.f64 (/.f64 (+.f64 (hypot.f64 1 x) 1) x) 1)
(neg.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2)))
(*.f64 (fma.f64 (sqrt.f64 (+.f64 (pow.f64 x 2) 1)) x x) (neg.f64 (pow.f64 x -2)))
(*.f64 (fma.f64 (hypot.f64 1 x) x x) (neg.f64 (pow.f64 x -2)))
(neg.f64 (*.f64 (/.f64 (+.f64 (hypot.f64 1 x) 1) x) 1))
(sqrt.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) 2) (pow.f64 x 4)))
(sqrt.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 (+.f64 (pow.f64 x 2) 1)) x x) 2) (pow.f64 x 4)))
(sqrt.f64 (/.f64 (pow.f64 (fma.f64 (hypot.f64 1 x) x x) 2) (pow.f64 x 4)))
(fabs.f64 (*.f64 (/.f64 (+.f64 (hypot.f64 1 x) 1) x) 1))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x)) (pow.f64 x -2)))
(*.f64 (pow.f64 x -2) (fma.f64 (sqrt.f64 (+.f64 (pow.f64 x 2) 1)) x x))
(*.f64 (pow.f64 x -2) (fma.f64 (hypot.f64 1 x) x x))
(*.f64 (/.f64 (+.f64 (hypot.f64 1 x) 1) x) 1)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2)))))
(*.f64 (pow.f64 x -2) (fma.f64 (sqrt.f64 (+.f64 (pow.f64 x 2) 1)) x x))
(*.f64 (pow.f64 x -2) (fma.f64 (hypot.f64 1 x) x x))
(*.f64 (/.f64 (+.f64 (hypot.f64 1 x) 1) x) 1)
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2)) 3))
(*.f64 (pow.f64 x -2) (fma.f64 (sqrt.f64 (+.f64 (pow.f64 x 2) 1)) x x))
(*.f64 (pow.f64 x -2) (fma.f64 (hypot.f64 1 x) x x))
(*.f64 (/.f64 (+.f64 (hypot.f64 1 x) 1) x) 1)
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) 3) (pow.f64 x 6)))
(*.f64 (pow.f64 x -2) (fma.f64 (sqrt.f64 (+.f64 (pow.f64 x 2) 1)) x x))
(*.f64 (pow.f64 x -2) (fma.f64 (hypot.f64 1 x) x x))
(*.f64 (/.f64 (+.f64 (hypot.f64 1 x) 1) x) 1)
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2))))
(*.f64 (pow.f64 x -2) (fma.f64 (sqrt.f64 (+.f64 (pow.f64 x 2) 1)) x x))
(*.f64 (pow.f64 x -2) (fma.f64 (hypot.f64 1 x) x x))
(*.f64 (/.f64 (+.f64 (hypot.f64 1 x) 1) x) 1)
(exp.f64 (log.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2))))
(*.f64 (pow.f64 x -2) (fma.f64 (sqrt.f64 (+.f64 (pow.f64 x 2) 1)) x x))
(*.f64 (pow.f64 x -2) (fma.f64 (hypot.f64 1 x) x x))
(*.f64 (/.f64 (+.f64 (hypot.f64 1 x) 1) x) 1)
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2))) 1))
(*.f64 (pow.f64 x -2) (fma.f64 (sqrt.f64 (+.f64 (pow.f64 x 2) 1)) x x))
(*.f64 (pow.f64 x -2) (fma.f64 (hypot.f64 1 x) x x))
(*.f64 (/.f64 (+.f64 (hypot.f64 1 x) 1) x) 1)
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 2))) x x) (pow.f64 x -2))))
(*.f64 (pow.f64 x -2) (fma.f64 (sqrt.f64 (+.f64 (pow.f64 x 2) 1)) x x))
(*.f64 (pow.f64 x -2) (fma.f64 (hypot.f64 1 x) x x))
(*.f64 (/.f64 (+.f64 (hypot.f64 1 x) 1) x) 1)

eval527.0ms (12.9%)

Compiler

Compiled 3380 to 2678 computations (20.8% saved)

prune303.0ms (7.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1991200
Fresh000
Picked123
Done011
Total2004204
Accuracy
100.0%
Counts
204 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (*.f64 -1/4 (pow.f64 x 2)))
✓99.3%
(log.f64 (/.f64 2 x))
✓100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓99.8%
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
▶99.6%
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (*.f64 -1/4 (pow.f64 x 2)))
✓99.3%
(log.f64 (/.f64 2 x))
✓100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓99.8%
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
Compiler

Compiled 84 to 66 computations (21.4% saved)

localize225.0ms (5.5%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓99.7%
(-.f64 (log.f64 2) (log.f64 x))
Compiler

Compiled 33 to 24 computations (27.3% saved)

series56.0ms (1.4%)

Counts
1 → 8
Calls

3 calls:

TimeVariablePointExpression
40.0ms
x
@0
(-.f64 (log.f64 2) (log.f64 x))
11.0ms
x
@-inf
(-.f64 (log.f64 2) (log.f64 x))
6.0ms
x
@inf
(-.f64 (log.f64 2) (log.f64 x))

rewrite84.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
718×prod-diff
610×unpow-prod-down
454×log1p-expm1-u
454×expm1-log1p-u
423×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01014
19514
2124714
Stop Event
1×node limit
Counts
1 → 95
Calls
Call 1
Inputs
(-.f64 (log.f64 2) (log.f64 x))
Outputs
(+.f64 (log1p.f64 1) (neg.f64 (log.f64 x)))
(+.f64 (log1p.f64 1) (*.f64 (neg.f64 (log.f64 x)) 1))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(+.f64 (log.f64 (/.f64 2 x)) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 -1 (log.f64 x) (log.f64 x)))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)) (log.f64 x)))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 1))
(+.f64 0 (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)) (log.f64 (cbrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (log.f64 (sqrt.f64 (/.f64 2 x))))
(*.f64 (log.f64 (/.f64 2 x)) 1)
(*.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log1p.f64 1) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log.f64 x))))
(*.f64 (pow.f64 1 1/3) (log.f64 (/.f64 2 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 2) 3) (cbrt.f64 (log.f64 (/.f64 2 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (/.f64 2 x)) (cbrt.f64 (log.f64 (/.f64 2 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log1p.f64 1) 2)) (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3))))
(/.f64 1 (/.f64 (log.f64 (*.f64 2 x)) (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log1p.f64 1) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3))) (neg.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log1p.f64 1) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2))) (neg.f64 (log.f64 (*.f64 2 x))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (neg.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (*.f64 (log1p.f64 1) (neg.f64 (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (neg.f64 (log.f64 x)) 2)) (log.f64 (/.f64 2 (/.f64 1 x))))
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(pow.f64 (E.f64) (log.f64 (log.f64 (/.f64 2 x))))
(pow.f64 (/.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log1p.f64 1) 2)) (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3))) -1)
(pow.f64 (/.f64 (log.f64 (*.f64 2 x)) (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (/.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (log.f64 (/.f64 2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (/.f64 2 x))))) (sqrt.f64 (log.f64 (log.f64 (/.f64 2 x)))))
(neg.f64 (log.f64 (/.f64 x 2)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(log.f64 (/.f64 2 x))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 2 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))) 2))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(fma.f64 (log1p.f64 1) 1 (neg.f64 (log.f64 x)))
(fma.f64 (log1p.f64 1) 1 (*.f64 (neg.f64 (log.f64 x)) 1))
(fma.f64 (log.f64 (/.f64 2 x)) 1 (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (log.f64 (/.f64 2 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (log.f64 (/.f64 2 x)) 1 (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 1 (log1p.f64 1) (neg.f64 (log.f64 x)))
(fma.f64 1 (log1p.f64 1) (*.f64 (neg.f64 (log.f64 x)) 1))
(fma.f64 1 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 1 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 1 (log.f64 (/.f64 2 x)) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 1 (neg.f64 (log.f64 x)) (log1p.f64 1))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (cbrt.f64 (log1p.f64 1)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (neg.f64 (log.f64 x)))
(fma.f64 (cbrt.f64 (log1p.f64 1)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (*.f64 (neg.f64 (log.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (neg.f64 (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (*.f64 (neg.f64 (log.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (neg.f64 (cbrt.f64 (log.f64 x))) (log1p.f64 1))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 (neg.f64 (log.f64 x)) 1))
(fma.f64 (sqrt.f64 (log.f64 x)) (neg.f64 (sqrt.f64 (log.f64 x))) (log1p.f64 1))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log1p.f64 1) 2))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log1p.f64 1) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log1p.f64 1) 2))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 2) (cbrt.f64 (neg.f64 (log.f64 x))) (log1p.f64 1))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (sqrt.f64 (neg.f64 (log.f64 x))) (log1p.f64 1))
(fma.f64 -1 (log.f64 x) (log1p.f64 1))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log.f64 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log.f64 x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)) (log1p.f64 1))

simplify75.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
1492×fma-neg
1238×fma-def
938×div-sub
624×difference-of-squares
460×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02133175
15122605
213492593
351262593
Stop Event
1×node limit
Counts
103 → 112
Calls
Call 1
Inputs
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(-.f64 (log.f64 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(-.f64 (log.f64 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(-.f64 (log.f64 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (log1p.f64 1) (neg.f64 (log.f64 x)))
(+.f64 (log1p.f64 1) (*.f64 (neg.f64 (log.f64 x)) 1))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(+.f64 (log.f64 (/.f64 2 x)) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 -1 (log.f64 x) (log.f64 x)))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)) (log.f64 x)))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 1))
(+.f64 0 (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)) (log.f64 (cbrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (log.f64 (sqrt.f64 (/.f64 2 x))))
(*.f64 (log.f64 (/.f64 2 x)) 1)
(*.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log1p.f64 1) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log.f64 x))))
(*.f64 (pow.f64 1 1/3) (log.f64 (/.f64 2 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 2) 3) (cbrt.f64 (log.f64 (/.f64 2 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (/.f64 2 x)) (cbrt.f64 (log.f64 (/.f64 2 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log1p.f64 1) 2)) (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3))))
(/.f64 1 (/.f64 (log.f64 (*.f64 2 x)) (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log1p.f64 1) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3))) (neg.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log1p.f64 1) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2))) (neg.f64 (log.f64 (*.f64 2 x))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (neg.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (*.f64 (log1p.f64 1) (neg.f64 (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (neg.f64 (log.f64 x)) 2)) (log.f64 (/.f64 2 (/.f64 1 x))))
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(pow.f64 (E.f64) (log.f64 (log.f64 (/.f64 2 x))))
(pow.f64 (/.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log1p.f64 1) 2)) (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3))) -1)
(pow.f64 (/.f64 (log.f64 (*.f64 2 x)) (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (/.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (log.f64 (/.f64 2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (/.f64 2 x))))) (sqrt.f64 (log.f64 (log.f64 (/.f64 2 x)))))
(neg.f64 (log.f64 (/.f64 x 2)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(log.f64 (/.f64 2 x))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 2 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))) 2))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(fma.f64 (log1p.f64 1) 1 (neg.f64 (log.f64 x)))
(fma.f64 (log1p.f64 1) 1 (*.f64 (neg.f64 (log.f64 x)) 1))
(fma.f64 (log.f64 (/.f64 2 x)) 1 (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (log.f64 (/.f64 2 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (log.f64 (/.f64 2 x)) 1 (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 1 (log1p.f64 1) (neg.f64 (log.f64 x)))
(fma.f64 1 (log1p.f64 1) (*.f64 (neg.f64 (log.f64 x)) 1))
(fma.f64 1 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 1 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 1 (log.f64 (/.f64 2 x)) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 1 (neg.f64 (log.f64 x)) (log1p.f64 1))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (cbrt.f64 (log1p.f64 1)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (neg.f64 (log.f64 x)))
(fma.f64 (cbrt.f64 (log1p.f64 1)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (*.f64 (neg.f64 (log.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (neg.f64 (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (*.f64 (neg.f64 (log.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (neg.f64 (cbrt.f64 (log.f64 x))) (log1p.f64 1))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 (neg.f64 (log.f64 x)) 1))
(fma.f64 (sqrt.f64 (log.f64 x)) (neg.f64 (sqrt.f64 (log.f64 x))) (log1p.f64 1))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log1p.f64 1) 2))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log1p.f64 1) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log1p.f64 1) 2))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log1p.f64 1))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 2) (cbrt.f64 (neg.f64 (log.f64 x))) (log1p.f64 1))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (sqrt.f64 (neg.f64 (log.f64 x))) (log1p.f64 1))
(fma.f64 -1 (log.f64 x) (log1p.f64 1))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log.f64 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log.f64 x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)) (log1p.f64 1))
Outputs
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(-.f64 (log.f64 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(-.f64 (log.f64 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(-.f64 (log.f64 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(-.f64 (log.f64 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log1p.f64 1) (neg.f64 (log.f64 x)))
(-.f64 (log1p.f64 1) (log.f64 x))
(+.f64 (log1p.f64 1) (*.f64 (neg.f64 (log.f64 x)) 1))
(-.f64 (log1p.f64 1) (log.f64 x))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 (/.f64 2 x)) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 -1 (log.f64 x) (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)) (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 1))
(-.f64 (log1p.f64 1) (log.f64 x))
(+.f64 0 (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)) (log.f64 (cbrt.f64 (/.f64 2 x))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 2 x))))
(*.f64 (log.f64 (cbrt.f64 (/.f64 2 x))) 3)
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (log.f64 (sqrt.f64 (/.f64 2 x))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 2 x))))
(*.f64 (log.f64 (/.f64 2 x)) 1)
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(*.f64 1 (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(*.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log1p.f64 1) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log1p.f64 1) 2)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x)))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log.f64 x))))
(-.f64 (log1p.f64 1) (log.f64 x))
(*.f64 (pow.f64 1 1/3) (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 2) 3) (cbrt.f64 (log.f64 (/.f64 2 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3)) 1/3))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (/.f64 2 x)) (cbrt.f64 (log.f64 (/.f64 2 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (*.f64 (log.f64 (/.f64 2 x)) (cbrt.f64 (log.f64 (/.f64 2 x)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 8)))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 5/2)) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log1p.f64 1) 2)) (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log1p.f64 1) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log1p.f64 1) 2)))
(/.f64 1 (/.f64 (log.f64 (*.f64 2 x)) (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log1p.f64 1) 2)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log1p.f64 1) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3))) (neg.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log1p.f64 1) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log1p.f64 1) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log1p.f64 1) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2))) (neg.f64 (log.f64 (*.f64 2 x))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (neg.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (*.f64 (log1p.f64 1) (neg.f64 (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (*.f64 (log1p.f64 1) (neg.f64 (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log1p.f64 1) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 1) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log1p.f64 1) (+.f64 (log1p.f64 1) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (neg.f64 (log.f64 x)) 2)) (log.f64 (/.f64 2 (/.f64 1 x))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x)))
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) 1/2)
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(pow.f64 (E.f64) (log.f64 (log.f64 (/.f64 2 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(pow.f64 (/.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log1p.f64 1) 2)) (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3))) -1)
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log1p.f64 1) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log1p.f64 1) 2)))
(pow.f64 (/.f64 (log.f64 (*.f64 2 x)) (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2))) -1)
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (/.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (log.f64 (/.f64 2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (/.f64 2 x))))) (sqrt.f64 (log.f64 (log.f64 (/.f64 2 x)))))
(neg.f64 (log.f64 (/.f64 x 2)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (/.f64 2 x)))) 1/3))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))) 2))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(log1p.f64 (+.f64 (/.f64 2 x) -1))
(log1p.f64 (+.f64 -1 (/.f64 2 x)))
(fma.f64 (log1p.f64 1) 1 (neg.f64 (log.f64 x)))
(-.f64 (log1p.f64 1) (log.f64 x))
(fma.f64 (log1p.f64 1) 1 (*.f64 (neg.f64 (log.f64 x)) 1))
(-.f64 (log1p.f64 1) (log.f64 x))
(fma.f64 (log.f64 (/.f64 2 x)) 1 (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(fma.f64 (log.f64 (/.f64 2 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(fma.f64 (log.f64 (/.f64 2 x)) 1 (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(fma.f64 1 (log1p.f64 1) (neg.f64 (log.f64 x)))
(-.f64 (log1p.f64 1) (log.f64 x))
(fma.f64 1 (log1p.f64 1) (*.f64 (neg.f64 (log.f64 x)) 1))
(-.f64 (log1p.f64 1) (log.f64 x))
(fma.f64 1 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(fma.f64 1 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(fma.f64 1 (log.f64 (/.f64 2 x)) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(fma.f64 1 (neg.f64 (log.f64 x)) (log1p.f64 1))
(-.f64 (log1p.f64 1) (log.f64 x))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(fma.f64 (cbrt.f64 (log1p.f64 1)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (neg.f64 (log.f64 x)))
(-.f64 (log1p.f64 1) (log.f64 x))
(fma.f64 (cbrt.f64 (log1p.f64 1)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (*.f64 (neg.f64 (log.f64 x)) 1))
(-.f64 (log1p.f64 1) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (neg.f64 (log.f64 x)))
(-.f64 (log1p.f64 1) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (*.f64 (neg.f64 (log.f64 x)) 1))
(-.f64 (log1p.f64 1) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (neg.f64 (cbrt.f64 (log.f64 x))) (log1p.f64 1))
(-.f64 (log1p.f64 1) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (neg.f64 (log.f64 x)))
(-.f64 (log1p.f64 1) (log.f64 x))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (*.f64 (neg.f64 (log.f64 x)) 1))
(-.f64 (log1p.f64 1) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (neg.f64 (sqrt.f64 (log.f64 x))) (log1p.f64 1))
(-.f64 (log1p.f64 1) (log.f64 x))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log1p.f64 1) 2))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log1p.f64 1) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log1p.f64 1) 2)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log1p.f64 1) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log1p.f64 1) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log1p.f64 1) 2)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log1p.f64 1) 2))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log1p.f64 1) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 (*.f64 2 x)) (pow.f64 (log1p.f64 1) 2)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x)))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log1p.f64 1))
(-.f64 (log1p.f64 1) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 2) (cbrt.f64 (neg.f64 (log.f64 x))) (log1p.f64 1))
(-.f64 (log1p.f64 1) (log.f64 x))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (sqrt.f64 (neg.f64 (log.f64 x))) (log1p.f64 1))
(-.f64 (log1p.f64 1) (log.f64 x))
(fma.f64 -1 (log.f64 x) (log1p.f64 1))
(-.f64 (log1p.f64 1) (log.f64 x))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log.f64 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(-.f64 (log1p.f64 1) (log.f64 x))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(-.f64 (log1p.f64 1) (log.f64 x))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log.f64 x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(-.f64 (log1p.f64 1) (log.f64 x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)) (log1p.f64 1))
(-.f64 (log1p.f64 1) (log.f64 x))

eval49.0ms (1.2%)

Compiler

Compiled 2254 to 1650 computations (26.8% saved)

prune15.0ms (0.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1111112
Fresh000
Picked101
Done033
Total1124116
Accuracy
100.0%
Counts
116 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(+.f64 (log.f64 (/.f64 2 x)) (*.f64 -1/4 (pow.f64 x 2)))
✓99.3%
(log.f64 (/.f64 2 x))
✓100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓99.8%
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
▶99.8%
(+.f64 (log.f64 (/.f64 2 x)) (*.f64 -1/4 (pow.f64 x 2)))
✓99.3%
(log.f64 (/.f64 2 x))
✓100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓99.8%
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
Compiler

Compiled 82 to 64 computations (22% saved)

localize94.0ms (2.3%)

Compiler

Compiled 30 to 23 computations (23.3% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune4.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done033
Total044
Accuracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(+.f64 (log.f64 (/.f64 2 x)) (*.f64 -1/4 (pow.f64 x 2)))
✓99.3%
(log.f64 (/.f64 2 x))
✓100.0%
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓99.8%
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
Compiler

Compiled 111 to 83 computations (25.2% saved)

regimes21.0ms (0.5%)

Counts
6 → 1
Calls
Call 1
Inputs
(log.f64 (/.f64 2 x))
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 (/.f64 2 x)) (*.f64 -1/4 (pow.f64 x 2)))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (*.f64 -1/4 (pow.f64 x 2)))
(log.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (neg.f64 x) (*.f64 (neg.f64 x) -1)) (*.f64 (neg.f64 x) (neg.f64 x))))
Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Calls

3 calls:

10.0ms
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
5.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
4.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
100.0%1(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
Compiler

Compiled 99 to 71 computations (28.3% saved)

regimes4.0ms (0.1%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes3.0ms (0.1%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.3%1x
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
12×+-commutative
10×*-commutative
6×sub-neg
4×neg-mul-1
4×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026135
139135
246135
350135
452135
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(+.f64 (log.f64 (/.f64 2 x)) (*.f64 -1/4 (pow.f64 x 2)))
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(log.f64 (/.f64 2 x))
Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(+.f64 (log.f64 (/.f64 2 x)) (*.f64 -1/4 (pow.f64 x 2)))
(log.f64 (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(log.f64 (+.f64 (*.f64 x -1/2) (*.f64 (/.f64 1 x) 2)))
(log.f64 (/.f64 2 x))
Compiler

Compiled 41 to 32 computations (22% saved)

soundness204.0ms (5%)

Rules
1492×fma-neg
1238×fma-def
938×div-sub
760×distribute-rgt-in
758×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03005131
17634601
226434215
02133175
15122605
213492593
351262593
Stop Event
1×node limit
1×node limit
Compiler

Compiled 114 to 90 computations (21.1% saved)

end0.0ms (0%)

preprocess45.0ms (1.1%)

Compiler

Compiled 104 to 78 computations (25% saved)

Profiling

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