Details

Time bar (total: 5.4s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 4 to 3 computations (25% saved)

sample560.0ms (10.4%)

Results
550.0ms8256×body256valid
Bogosity

preprocess17.0ms (0.3%)

Algorithm
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(asinh.f64 x)
Outputs
(asinh.f64 x)
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×+-commutative_binary64
1×1-exp_binary64
1×hypot-1-def_binary64
1×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01017
11514
21614
Stop Event
1×saturated
Counts
1 → 3
Calls
Call 1
Inputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
Outputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x 1)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)

eval1.0ms (0%)

Compiler

Compiled 33 to 20 computations (39.4% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New123
Fresh011
Picked000
Done000
Total134
Error
30.5b
Counts
4 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶30.5b
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
▶44.3b
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
Compiler

Compiled 23 to 16 computations (30.4% saved)

localize18.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))
✓4.0b
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))))
✓12.9b
(sqrt.f64 (+.f64 (*.f64 x x) 1))
Compiler

Compiled 50 to 24 computations (52% saved)

series25.0ms (0.5%)

Counts
3 → 0
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@0
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))))
1.0ms
x
@inf
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))))
1.0ms
x
@-inf
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))))
1.0ms
x
@inf
(sqrt.f64 (+.f64 (*.f64 x x) 1))
1.0ms
x
@0
(sqrt.f64 (+.f64 (*.f64 x x) 1))
Compiler

Compiled 3010 to 2240 computations (25.6% saved)

rewrite52.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
883×pow1_binary64
825×add-log-exp_binary64
825×log1p-expm1-u_binary64
825×expm1-log1p-u_binary64
806×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0933
119220
2265320
Stop Event
1×node limit
Counts
3 → 79
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 x x) 1))
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 1 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 1 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 1 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (/.f64 1 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (fma.f64 x x 1) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))))))

simplify52.0ms (1%)

Algorithm
1×egg-herbie
Rules
754×fma-neg_binary64
550×unswap-sqr_binary64
546×fma-def_binary64
324×hypot-def_binary64
234×times-frac_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01721132
1372987
21392790
36984790
Stop Event
1×node limit
Counts
79 → 98
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (hypot.f64 1 x)) 1)
(*.f64 1 (hypot.f64 1 x))
(*.f64 (hypot.f64 1 x) 1)
(*.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)))
(*.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (pow.f64 1 1/2) (hypot.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 1/2))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (fma.f64 x x 1) 1/2)
(pow.f64 (hypot.f64 1 x) 1)
(pow.f64 (cbrt.f64 (hypot.f64 1 x)) 3)
(pow.f64 (sqrt.f64 (hypot.f64 1 x)) 2)
(pow.f64 (pow.f64 (hypot.f64 1 x) 3) 1/3)
(fabs.f64 (hypot.f64 1 x))
(log.f64 (exp.f64 (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (hypot.f64 1 x) 3))
(hypot.f64 1 x)
(expm1.f64 (log1p.f64 (hypot.f64 1 x)))
(log1p.f64 (expm1.f64 (hypot.f64 1 x)))
(exp.f64 (log.f64 (hypot.f64 1 x)))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (fma.f64 x x 1) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
Outputs
(-.f64 (+.f64 1 (hypot.f64 1 x)) 1)
(+.f64 1 (-.f64 (hypot.f64 1 x) 1))
(+.f64 (hypot.f64 1 x) 0)
(hypot.f64 1 x)
(*.f64 1 (hypot.f64 1 x))
(+.f64 1 (-.f64 (hypot.f64 1 x) 1))
(+.f64 (hypot.f64 1 x) 0)
(hypot.f64 1 x)
(*.f64 (hypot.f64 1 x) 1)
(+.f64 1 (-.f64 (hypot.f64 1 x) 1))
(+.f64 (hypot.f64 1 x) 0)
(hypot.f64 1 x)
(*.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)))
(*.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)))
(+.f64 1 (-.f64 (hypot.f64 1 x) 1))
(+.f64 (hypot.f64 1 x) 0)
(hypot.f64 1 x)
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 x x 1))) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (cbrt.f64 (fma.f64 x x 1)) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (pow.f64 1 1/2) (hypot.f64 1 x))
(+.f64 1 (-.f64 (hypot.f64 1 x) 1))
(+.f64 (hypot.f64 1 x) 0)
(hypot.f64 1 x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 x x 1))) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))))
(*.f64 (cbrt.f64 (fma.f64 x x 1)) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x)))))
(/.f64 (hypot.f64 1 (pow.f64 x 3)) (sqrt.f64 (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 x x)))))
(/.f64 (hypot.f64 1 (pow.f64 x 3)) (sqrt.f64 (+.f64 1 (fma.f64 x (neg.f64 x) (pow.f64 x 4)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (fma.f64 x x 1) 1/2)
(+.f64 1 (-.f64 (hypot.f64 1 x) 1))
(+.f64 (hypot.f64 1 x) 0)
(hypot.f64 1 x)
(pow.f64 (hypot.f64 1 x) 1)
(+.f64 1 (-.f64 (hypot.f64 1 x) 1))
(+.f64 (hypot.f64 1 x) 0)
(hypot.f64 1 x)
(pow.f64 (cbrt.f64 (hypot.f64 1 x)) 3)
(+.f64 1 (-.f64 (hypot.f64 1 x) 1))
(+.f64 (hypot.f64 1 x) 0)
(hypot.f64 1 x)
(pow.f64 (sqrt.f64 (hypot.f64 1 x)) 2)
(+.f64 1 (-.f64 (hypot.f64 1 x) 1))
(+.f64 (hypot.f64 1 x) 0)
(hypot.f64 1 x)
(pow.f64 (pow.f64 (hypot.f64 1 x) 3) 1/3)
(+.f64 1 (-.f64 (hypot.f64 1 x) 1))
(+.f64 (hypot.f64 1 x) 0)
(hypot.f64 1 x)
(fabs.f64 (hypot.f64 1 x))
(+.f64 1 (-.f64 (hypot.f64 1 x) 1))
(+.f64 (hypot.f64 1 x) 0)
(hypot.f64 1 x)
(log.f64 (exp.f64 (hypot.f64 1 x)))
(+.f64 1 (-.f64 (hypot.f64 1 x) 1))
(+.f64 (hypot.f64 1 x) 0)
(hypot.f64 1 x)
(cbrt.f64 (pow.f64 (hypot.f64 1 x) 3))
(+.f64 1 (-.f64 (hypot.f64 1 x) 1))
(+.f64 (hypot.f64 1 x) 0)
(hypot.f64 1 x)
(hypot.f64 1 x)
(+.f64 1 (-.f64 (hypot.f64 1 x) 1))
(+.f64 (hypot.f64 1 x) 0)
(expm1.f64 (log1p.f64 (hypot.f64 1 x)))
(+.f64 1 (-.f64 (hypot.f64 1 x) 1))
(+.f64 (hypot.f64 1 x) 0)
(hypot.f64 1 x)
(log1p.f64 (expm1.f64 (hypot.f64 1 x)))
(+.f64 1 (-.f64 (hypot.f64 1 x) 1))
(+.f64 (hypot.f64 1 x) 0)
(hypot.f64 1 x)
(exp.f64 (log.f64 (hypot.f64 1 x)))
(+.f64 1 (-.f64 (hypot.f64 1 x) 1))
(+.f64 (hypot.f64 1 x) 0)
(hypot.f64 1 x)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 -1) (log.f64 (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(*.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (fma.f64 x x 1))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (fma.f64 x x 1) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (fma.f64 x x 1) (*.f64 x (-.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (-.f64 (fma.f64 x x 1) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))

localize14.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (fabs.f64 x) (hypot.f64 1 x))
✓4.0b
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
Compiler

Compiled 30 to 17 computations (43.3% saved)

series101.0ms (1.9%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
1.0ms
x
@0
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
0.0ms
x
@inf
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
0.0ms
x
@0
(+.f64 (fabs.f64 x) (hypot.f64 1 x))
0.0ms
x
@-inf
(+.f64 (fabs.f64 x) (hypot.f64 1 x))
Compiler

Compiled 2310 to 1670 computations (27.7% saved)

rewrite42.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
646×pow1_binary64
600×add-log-exp_binary64
600×log1p-expm1-u_binary64
600×expm1-log1p-u_binary64
588×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0720
114216
2187316
Stop Event
1×node limit
Counts
2 → 56
Calls
Call 1
Inputs
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
(+.f64 (fabs.f64 x) (hypot.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)))))

simplify61.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
465×fma-neg_binary64
412×unswap-sqr_binary64
354×log-prod_binary64
346×fma-def_binary64
219×div-sub_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0124855
1298680
21017604
34693604
Stop Event
1×node limit
Counts
56 → 68
Calls
Call 1
Inputs
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
Outputs
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 -1) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(*.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (-.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (+.f64 x (-.f64 x (hypot.f64 1 x))) 1))
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))

eval53.0ms (1%)

Compiler

Compiled 2520 to 1698 computations (32.6% saved)

prune24.0ms (0.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1588166
Fresh000
Picked011
Done101
Total1599168
Error
30.5b
Counts
168 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
▶45.3b
(copysign.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3) x)
44.2b
(copysign.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) x)
43.9b
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
▶54.3b
(copysign.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) x)
44.0b
(copysign.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) x)
▶47.0b
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
✓30.5b
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
▶43.9b
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
▶45.2b
(copysign.f64 (exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) x)
Compiler

Compiled 238 to 173 computations (27.3% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.9b
(+.f64 x (hypot.f64 1 x))
✓4.3b
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 25 to 16 computations (36% saved)

series21.0ms (0.4%)

Counts
2 → 0
Calls

6 calls:

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

Compiled 1750 to 1470 computations (16% saved)

rewrite74.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
619×pow1_binary64
575×add-log-exp_binary64
575×log1p-expm1-u_binary64
575×expm1-log1p-u_binary64
563×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
112116
2155916
Stop Event
1×node limit
Counts
2 → 56
Calls
Call 1
Inputs
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (hypot.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)))))

simplify45.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
465×fma-neg_binary64
412×unswap-sqr_binary64
354×log-prod_binary64
346×fma-def_binary64
219×div-sub_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0124855
1298680
21017604
34693604
Stop Event
1×node limit
Counts
56 → 68
Calls
Call 1
Inputs
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
Outputs
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 -1) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (*.f64 x x)) (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(*.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (-.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (+.f64 x (-.f64 x (hypot.f64 1 x))) 1))
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(+.f64 (+.f64 (+.f64 1 x) (hypot.f64 1 x)) -1)
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))

localize18.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
✓0.5b
(-.f64 (hypot.f64 1 x) x)
✓4.0b
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
Compiler

Compiled 36 to 25 computations (30.6% saved)

series25.0ms (0.5%)

Counts
3 → 0
Calls

9 calls:

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

Compiled 2520 to 2110 computations (16.3% saved)

rewrite52.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
761×pow1_binary64
707×add-log-exp_binary64
707×log1p-expm1-u_binary64
707×expm1-log1p-u_binary64
692×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0728
115028
2195028
Stop Event
1×node limit
Counts
3 → 91
Calls
Call 1
Inputs
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))) (log.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -1) (log.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) (+.f64 0 (+.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (*.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 x) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (hypot.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (hypot.f64 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (hypot.f64 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (neg.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (hypot.f64 1 x) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (hypot.f64 1 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (hypot.f64 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 1 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 x))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) -1) (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (hypot.f64 1 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))))

simplify51.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
718×fma-def_binary64
560×associate-/l*_binary64
437×associate-/r*_binary64
259×distribute-rgt-in_binary64
245×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01921326
15101117
219821045
Stop Event
1×node limit
Counts
91 → 111
Calls
Call 1
Inputs
(+.f64 0 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))) (log.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(-.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (+.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1)
(*.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 -1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) (+.f64 0 (+.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (*.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(/.f64 (-.f64 0 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(pow.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) 1/3)
(pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3)
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(sqrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3))
(expm1.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(log1p.f64 (-.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1))
(exp.f64 (log.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (hypot.f64 1 x) (neg.f64 x))
(+.f64 (hypot.f64 1 x) (*.f64 (neg.f64 x) 1))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (neg.f64 x) (hypot.f64 1 x))
(*.f64 1 (-.f64 (hypot.f64 1 x) x))
(*.f64 (-.f64 (hypot.f64 1 x) x) 1)
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(*.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))))
(/.f64 (-.f64 (hypot.f64 1 x) x) 1)
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(/.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x)) -1)
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (+.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (neg.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (neg.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (hypot.f64 1 x) (neg.f64 x)))))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (hypot.f64 1 x) (neg.f64 x)))
(pow.f64 (-.f64 (hypot.f64 1 x) x) 1)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 3)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))
(log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) x)))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) x)))
(exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(fma.f64 1 (hypot.f64 1 x) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(+.f64 1 (-.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1))
(-.f64 (+.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) 1)
(*.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) -1) (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))
(*.f64 (/.f64 1 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (+.f64 x (hypot.f64 1 x)))
(pow.f64 (-.f64 (hypot.f64 1 x) x) -1)
(pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)
(pow.f64 (E.f64) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
Outputs
(+.f64 0 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))) (log.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))) (neg.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (+.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 -1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) (+.f64 0 (+.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (*.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (-.f64 0 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (neg.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) 1/3)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(sqrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(expm1.f64 (log1p.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log1p.f64 (-.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(exp.f64 (log.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (hypot.f64 1 x) (neg.f64 x))
(-.f64 (hypot.f64 1 x) x)
(+.f64 (hypot.f64 1 x) (*.f64 (neg.f64 x) 1))
(-.f64 (hypot.f64 1 x) x)
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 x) 1 x))
(-.f64 (hypot.f64 1 x) x)
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(-.f64 (hypot.f64 1 x) x)
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(-.f64 (hypot.f64 1 x) x)
(+.f64 (neg.f64 x) (hypot.f64 1 x))
(-.f64 (hypot.f64 1 x) x)
(*.f64 1 (-.f64 (hypot.f64 1 x) x))
(-.f64 (hypot.f64 1 x) x)
(*.f64 (-.f64 (hypot.f64 1 x) x) 1)
(-.f64 (hypot.f64 1 x) x)
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(-.f64 (hypot.f64 1 x) x)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 x x) (*.f64 x (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (+.f64 x (hypot.f64 1 x))) 1))
(*.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(/.f64 (*.f64 (+.f64 1 (-.f64 (*.f64 x x) (*.f64 x x))) 1) (+.f64 x (hypot.f64 1 x)))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x))) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 x x) (*.f64 x (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (+.f64 x (hypot.f64 1 x))) 1))
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 1 (-.f64 (*.f64 x x) (*.f64 x x))) 1) (+.f64 x (hypot.f64 1 x)))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(/.f64 (-.f64 (hypot.f64 1 x) x) 1)
(-.f64 (hypot.f64 1 x) x)
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (hypot.f64 1 x) x)
(/.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(/.f64 (neg.f64 (-.f64 (hypot.f64 1 x) x)) -1)
(-.f64 (hypot.f64 1 x) x)
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 x x) (*.f64 x (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (+.f64 x (hypot.f64 1 x))) 1))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x)) (+.f64 x (hypot.f64 1 x)))
(/.f64 (*.f64 (+.f64 1 (-.f64 (*.f64 x x) (*.f64 x x))) 1) (+.f64 x (hypot.f64 1 x)))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 x x) (*.f64 x (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (+.f64 x (hypot.f64 1 x))) 1))
(/.f64 (neg.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (neg.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (*.f64 (+.f64 1 (-.f64 (*.f64 x x) (*.f64 x x))) 1) (+.f64 x (hypot.f64 1 x)))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (hypot.f64 1 x) (neg.f64 x)))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 x x) (*.f64 x (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (+.f64 x (hypot.f64 1 x))) 1))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (hypot.f64 1 x) (neg.f64 x)))
(/.f64 (*.f64 (+.f64 1 (-.f64 (*.f64 x x) (*.f64 x x))) 1) (+.f64 x (hypot.f64 1 x)))
(/.f64 1 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (-.f64 (hypot.f64 1 x) x) 1)
(-.f64 (hypot.f64 1 x) x)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3) 1/3)
(-.f64 (hypot.f64 1 x) x)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 3)
(-.f64 (hypot.f64 1 x) x)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)
(-.f64 (hypot.f64 1 x) x)
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))
(-.f64 (hypot.f64 1 x) x)
(log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3))
(-.f64 (hypot.f64 1 x) x)
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 1 (hypot.f64 1 x) (neg.f64 x))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(-.f64 (hypot.f64 1 x) x)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(-.f64 (hypot.f64 1 x) x)
(+.f64 1 (-.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1))
(+.f64 1 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 0)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(-.f64 (+.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) 1)
(+.f64 1 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 0)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(*.f64 1 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(+.f64 1 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 0)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(*.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)
(+.f64 1 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 0)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(+.f64 1 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 0)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(*.f64 -1 (/.f64 1 (neg.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 1 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 0)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 1 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 0)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) -1) (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 1 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 0)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))
(*.f64 (+.f64 1 (+.f64 (*.f64 x x) (*.f64 x (+.f64 x (hypot.f64 1 x))))) (/.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))
(/.f64 (fma.f64 x (+.f64 x (+.f64 x (hypot.f64 1 x))) 1) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))
(*.f64 (/.f64 1 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) (/.f64 1 (+.f64 1 (-.f64 (*.f64 x x) (*.f64 x x)))))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (-.f64 (hypot.f64 1 x) x) -1)
(+.f64 1 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 0)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 1)
(+.f64 1 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 0)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (E.f64) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 1 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 0)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(+.f64 1 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 0)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(+.f64 1 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 0)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) 2)
(+.f64 1 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 0)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 1 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 0)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 1 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 0)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))
(+.f64 1 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 0)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(log.f64 (exp.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(+.f64 1 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 0)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 3))
(+.f64 1 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 0)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(+.f64 1 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 0)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))))
(+.f64 1 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 0)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(exp.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 1 (+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 0)
(/.f64 1 (-.f64 (hypot.f64 1 x) x))

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
✓0.4b
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
0.9b
(+.f64 x (hypot.f64 1 x))
4.3b
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 42 to 29 computations (31% saved)

series35.0ms (0.7%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
2.0ms
x
@inf
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
1.0ms
x
@0
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
0.0ms
x
@0
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
0.0ms
x
@-inf
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
Compiler

Compiled 3330 to 2915 computations (12.5% saved)

rewrite45.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
688×pow1_binary64
637×add-log-exp_binary64
637×log1p-expm1-u_binary64
637×expm1-log1p-u_binary64
623×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
114520
2174520
Stop Event
1×node limit
Counts
2 → 42
Calls
Call 1
Inputs
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))))

simplify38.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
513×log-prod_binary64
470×associate-*l*_binary64
410×associate-*r*_binary64
315×fma-def_binary64
288×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
095631
1201520
2697510
34598510
Stop Event
1×node limit
Counts
42 → 52
Calls
Call 1
Inputs
(+.f64 1 (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (E.f64) (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(+.f64 0 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(-.f64 (+.f64 1 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(*.f64 1 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(pow.f64 (pow.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(pow.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(log1p.f64 (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1))
(exp.f64 (log.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
Outputs
(+.f64 1 (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1))
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 -1) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (E.f64) (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))
(+.f64 0 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 (+.f64 1 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 1 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (pow.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(sqrt.f64 (pow.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(expm1.f64 (log1p.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1))
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
✓0.5b
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
0.9b
(+.f64 x (hypot.f64 1 x))
4.3b
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 49 to 36 computations (26.5% saved)

series135.0ms (2.5%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
6.0ms
x
@inf
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
1.0ms
x
@inf
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
1.0ms
x
@-inf
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
1.0ms
x
@0
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
Compiler

Compiled 13070 to 11870 computations (9.2% saved)

rewrite46.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
858×pow1_binary64
809×add-log-exp_binary64
808×log1p-expm1-u_binary64
808×expm1-log1p-u_binary64
791×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
121821
2227221
Stop Event
1×node limit
Counts
2 → 40
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2) 1/3) (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 3) (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1) (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))))

simplify53.0ms (1%)

Algorithm
1×egg-herbie
Rules
803×fma-neg_binary64
575×exp-prod_binary64
454×associate-*l*_binary64
373×associate-*r*_binary64
303×fabs-mul_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
098614
1208542
2541475
33149463
46616463
Stop Event
1×node limit
Counts
40 → 51
Calls
Call 1
Inputs
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2) 1/3) (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2) 1/3))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1)
(*.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1)
(*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 3) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(*.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 6))
(log.f64 (exp.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))
(exp.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
Outputs
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 -1) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2) 1/3) (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2)) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2)))
(pow.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2) 1/6) 4)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1)
(+.f64 1 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1))
(+.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 0)
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(*.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(+.f64 1 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1))
(+.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 0)
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(+.f64 1 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1))
(+.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 0)
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1)
(+.f64 1 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1))
(+.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 0)
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1))
(+.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 0)
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(+.f64 1 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1))
(+.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 0)
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(+.f64 1 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1))
(+.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 0)
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3/2))
(+.f64 1 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1))
(+.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 0)
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 3) (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1))
(+.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 0)
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(+.f64 1 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1))
(+.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 0)
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(*.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1) (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1))
(+.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 0)
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(*.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1))
(+.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 0)
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(*.f64 (*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1))
(+.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 0)
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 6))
(+.f64 1 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1))
(+.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 0)
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(log.f64 (exp.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))
(+.f64 1 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1))
(+.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 0)
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 3))
(+.f64 1 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1))
(+.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 0)
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))
(+.f64 1 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1))
(+.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 0)
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))
(+.f64 1 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1))
(+.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 0)
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(exp.f64 (*.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 1 (-.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1))
(+.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 0)
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)

localize46.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(-.f64 (hypot.f64 1 x) x)
✓10.3b
(+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))
✓12.1b
(log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))
✓17.3b
(log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
Compiler

Compiled 117 to 76 computations (35% saved)

series31.0ms (0.6%)

Counts
3 → 0
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
1.0ms
x
@inf
(log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
1.0ms
x
@-inf
(log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))
1.0ms
x
@inf
(log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))
1.0ms
x
@-inf
(log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
Compiler

Compiled 2870 to 2440 computations (15% saved)

rewrite66.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
581×log-prod_binary64
580×fma-def_binary64
331×pow2_binary64
265×fma-neg_binary64
223×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01347
128247
2355247
Stop Event
1×node limit
Counts
3 → 153
Calls
Call 1
Inputs
(log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))
(+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))
Outputs
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simplify71.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
814×fma-def_binary64
351×distribute-rgt-in_binary64
350×times-frac_binary64
331×distribute-lft-in_binary64
328×unswap-sqr_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03483662
18163633
223343624
Stop Event
1×node limit
Counts
153 → 182
Calls
Call 1
Inputs
(+.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))) 0)
(+.f64 0 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(+.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))) (log.f64 (cbrt.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) 3) (pow.f64 x 6))) (log.f64 (+.f64 (pow.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) 2) (-.f64 (pow.f64 x 4) (*.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) (*.f64 x x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) 2) (pow.f64 x 4))) (log.f64 (-.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) (*.f64 x x))))
(*.f64 1 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(*.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))) 1)
(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) 2) (cbrt.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) (sqrt.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(*.f64 2 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(*.f64 1/3 (log.f64 (pow.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)) 3)))
(pow.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))) 1)
(pow.f64 (pow.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))) 3) 1/3)
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(log.f64 (*.f64 (exp.f64 (pow.f64 x 3)) (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 1 x) 3)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 x 3))) (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 1 x) 3)))))
(cbrt.f64 (pow.f64 (hypot.f64 (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 x 3/2)) 6))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(exp.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(fma.f64 1 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))
(fma.f64 1 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))
(fma.f64 x (*.f64 x x) (pow.f64 (hypot.f64 1 x) 3))
(fma.f64 (hypot.f64 1 x) (fma.f64 x x 1) (pow.f64 x 3))
(fma.f64 (hypot.f64 1 x) (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)) (*.f64 x (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))))
(fma.f64 (*.f64 x x) x (pow.f64 (hypot.f64 1 x) 3))
(fma.f64 (pow.f64 (hypot.f64 1 x) 3) 1 (pow.f64 x 3))
(fma.f64 (pow.f64 x 3) 1 (pow.f64 (hypot.f64 1 x) 3))
(fma.f64 (fma.f64 x x 1) (hypot.f64 1 x) (pow.f64 x 3))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x x)) (pow.f64 (hypot.f64 1 x) 3))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) x) (pow.f64 (hypot.f64 1 x) 3))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (*.f64 (cbrt.f64 (hypot.f64 1 x)) (fma.f64 x x 1)) (pow.f64 x 3))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x x)) (pow.f64 (hypot.f64 1 x) 3))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (*.f64 (sqrt.f64 (hypot.f64 1 x)) (fma.f64 x x 1)) (pow.f64 x 3))
(fma.f64 (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)) (hypot.f64 1 x) (*.f64 (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)) x))
(fma.f64 (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 x 3))
(fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) (pow.f64 (hypot.f64 1 x) 3))
(fma.f64 (*.f64 x (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (pow.f64 (hypot.f64 1 x) 3))
(fma.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (pow.f64 (hypot.f64 1 x) 3))
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 (hypot.f64 1 x) 3))
(fma.f64 (*.f64 (fma.f64 x x 1) 1) (hypot.f64 1 x) (pow.f64 x 3))
(fma.f64 (*.f64 (fma.f64 x x 1) (cbrt.f64 (fma.f64 x x 1))) (cbrt.f64 (hypot.f64 1 x)) (pow.f64 x 3))
(fma.f64 (*.f64 (fma.f64 x x 1) (sqrt.f64 (hypot.f64 1 x))) (sqrt.f64 (hypot.f64 1 x)) (pow.f64 x 3))
Outputs
(+.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))) 0)
(log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(+.f64 0 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(+.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 2)
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))) (log.f64 (cbrt.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(*.f64 (log.f64 (cbrt.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) 3)
(+.f64 (log.f64 (cbrt.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))))
(*.f64 (log.f64 (cbrt.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) 3)
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))) 1)
(log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(-.f64 (log.f64 (+.f64 (pow.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) 3) (pow.f64 x 6))) (log.f64 (+.f64 (pow.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) 2) (-.f64 (pow.f64 x 4) (*.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) (*.f64 x x))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) 3) (pow.f64 x 6))) (log.f64 (+.f64 (pow.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) 2) (-.f64 (pow.f64 x 4) (*.f64 (hypot.f64 1 x) (*.f64 (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) 3) (pow.f64 x 6))) (log.f64 (+.f64 (pow.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) 2) (-.f64 (pow.f64 x 4) (*.f64 (-.f64 (hypot.f64 1 x) x) (*.f64 (hypot.f64 1 x) (*.f64 x x)))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) 3) (pow.f64 x 6))) (log.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x (neg.f64 x)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) 2) (pow.f64 x 4))) (log.f64 (-.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) (*.f64 x x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) 2) (pow.f64 x 4))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x (neg.f64 x)))))
(*.f64 1 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(*.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))) 1)
(log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(*.f64 (log.f64 (cbrt.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) 3)
(*.f64 (cbrt.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) 2))
(log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) 2) (cbrt.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) (sqrt.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(*.f64 2 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 2)
(*.f64 1/3 (log.f64 (pow.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)) 3)))
(log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(pow.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))) 1)
(log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(pow.f64 (pow.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))) 2) 1/2)
(log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(pow.f64 (pow.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))) 3) 1/3)
(log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) 3)
(log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) 2)
(log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))) 2))
(log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))) 3))
(log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(log1p.f64 (-.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)) 1))
(log1p.f64 (+.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)) -1))
(log1p.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (fma.f64 x x -1)))
(exp.f64 (log.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))))
(log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) 1))
(log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(+.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) 0)
(log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))
(+.f64 0 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 x 3/2)) 4))) (log.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(+.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 9) (pow.f64 x 9))) (log.f64 (/.f64 1 (+.f64 (pow.f64 (hypot.f64 1 x) 6) (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x (hypot.f64 1 x)) 3))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 9) (pow.f64 x 9))) (log.f64 (-.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6)) (pow.f64 (*.f64 x (hypot.f64 1 x)) 3))))
(neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 (*.f64 x (hypot.f64 1 x)) 3))) (+.f64 (pow.f64 (hypot.f64 1 x) 9) (pow.f64 x 9)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 9) (pow.f64 x 9))) (log.f64 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 (*.f64 x (hypot.f64 1 x)) 3)))))
(+.f64 (log.f64 (hypot.f64 (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 x 3/2))) (log.f64 (hypot.f64 (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 x 3/2))))
(log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 x 3/2)) 4))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 x 3/2)) 4))) (log.f64 (cbrt.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(+.f64 (log.f64 (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))))
(+.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6))) (log.f64 (/.f64 1 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6))) (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(+.f64 (log.f64 (fma.f64 x x (-.f64 (fma.f64 x x 1) (*.f64 x (hypot.f64 1 x))))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (fma.f64 x x (-.f64 (fma.f64 x x 1) (*.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x 1)) (*.f64 x (hypot.f64 1 x)))))
(-.f64 0 (log.f64 (/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 6) (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x (hypot.f64 1 x)) 3))) (+.f64 (pow.f64 (hypot.f64 1 x) 9) (pow.f64 x 9)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 9) (pow.f64 x 9))) (log.f64 (-.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6)) (pow.f64 (*.f64 x (hypot.f64 1 x)) 3))))
(neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 (*.f64 x (hypot.f64 1 x)) 3))) (+.f64 (pow.f64 (hypot.f64 1 x) 9) (pow.f64 x 9)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 9) (pow.f64 x 9))) (log.f64 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 (*.f64 x (hypot.f64 1 x)) 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6))) (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))) 1)
(log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 9) (pow.f64 x 9))) (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 6) (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x (hypot.f64 1 x)) 3)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 9) (pow.f64 x 9))) (log.f64 (-.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6)) (pow.f64 (*.f64 x (hypot.f64 1 x)) 3))))
(neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 (*.f64 x (hypot.f64 1 x)) 3))) (+.f64 (pow.f64 (hypot.f64 1 x) 9) (pow.f64 x 9)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 9) (pow.f64 x 9))) (log.f64 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 (*.f64 x (hypot.f64 1 x)) 3)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 9) (pow.f64 x 9))) (log.f64 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 (*.f64 x (hypot.f64 1 x)) 3)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 9) (pow.f64 x 9))) (log.f64 (-.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6)) (pow.f64 (*.f64 x (hypot.f64 1 x)) 3))))
(neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 (*.f64 x (hypot.f64 1 x)) 3))) (+.f64 (pow.f64 (hypot.f64 1 x) 9) (pow.f64 x 9)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6))) (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 9) (pow.f64 x 9)))) (log.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 6) (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x (hypot.f64 1 x)) 3))))))
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(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 9) (pow.f64 x 9)) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 (*.f64 x (hypot.f64 1 x)) 3))))
(pow.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6))) -1)
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 6) (pow.f64 x 6)) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) 2))
(+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) 2)) (cbrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))) (sqrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) 2)) 1) (cbrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))) 1) (sqrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))) (cbrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))) (fabs.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))) (cbrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))))
(sqrt.f64 (pow.f64 (hypot.f64 (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 x 3/2)) 4))
(+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))
(log.f64 (exp.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 1 x) 3))) (exp.f64 (pow.f64 x 3))))
(+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))
(log.f64 (*.f64 (exp.f64 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 1 (expm1.f64 (pow.f64 x 3)))))
(+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 1 x) 3))) (+.f64 1 (expm1.f64 (pow.f64 x 3)))))
(+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 x 3))) (exp.f64 (pow.f64 (hypot.f64 1 x) 3))))
(+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))
(log.f64 (*.f64 (exp.f64 (pow.f64 x 3)) (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 1 x) 3)))))
(+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 x 3))) (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 1 x) 3)))))
(+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))
(cbrt.f64 (pow.f64 (hypot.f64 (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 x 3/2)) 6))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))
(exp.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))
(fma.f64 1 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))
(+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))
(fma.f64 1 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))
(+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))
(fma.f64 x (*.f64 x x) (pow.f64 (hypot.f64 1 x) 3))
(+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))
(fma.f64 (hypot.f64 1 x) (fma.f64 x x 1) (pow.f64 x 3))
(fma.f64 (hypot.f64 1 x) (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)) (*.f64 x (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))))
(*.f64 (+.f64 x (hypot.f64 1 x)) (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(fma.f64 (*.f64 x x) x (pow.f64 (hypot.f64 1 x) 3))
(+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))
(fma.f64 (pow.f64 (hypot.f64 1 x) 3) 1 (pow.f64 x 3))
(+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))
(fma.f64 (pow.f64 x 3) 1 (pow.f64 (hypot.f64 1 x) 3))
(+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))
(fma.f64 (fma.f64 x x 1) (hypot.f64 1 x) (pow.f64 x 3))
(fma.f64 (hypot.f64 1 x) (fma.f64 x x 1) (pow.f64 x 3))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x x)) (pow.f64 (hypot.f64 1 x) 3))
(+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) x) (pow.f64 (hypot.f64 1 x) 3))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (hypot.f64 1 x) 3))
(fma.f64 x (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (hypot.f64 1 x) 3))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (*.f64 (cbrt.f64 (hypot.f64 1 x)) (fma.f64 x x 1)) (pow.f64 x 3))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (*.f64 (fma.f64 x x 1) (cbrt.f64 (hypot.f64 1 x))) (pow.f64 x 3))
(fma.f64 (fma.f64 x x 1) (*.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x))) (pow.f64 x 3))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x x)) (pow.f64 (hypot.f64 1 x) 3))
(+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (*.f64 (sqrt.f64 (hypot.f64 1 x)) (fma.f64 x x 1)) (pow.f64 x 3))
(fma.f64 (hypot.f64 1 x) (fma.f64 x x 1) (pow.f64 x 3))
(fma.f64 (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)) (hypot.f64 1 x) (*.f64 (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)) x))
(*.f64 (+.f64 x (hypot.f64 1 x)) (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(fma.f64 (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 (hypot.f64 1 x) 3/2) (pow.f64 x 3))
(+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))
(fma.f64 (pow.f64 x 3/2) (pow.f64 x 3/2) (pow.f64 (hypot.f64 1 x) 3))
(+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))
(fma.f64 (*.f64 x (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (pow.f64 (hypot.f64 1 x) 3))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (hypot.f64 1 x) 3))
(fma.f64 x (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (hypot.f64 1 x) 3))
(fma.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (pow.f64 (hypot.f64 1 x) 3))
(+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 (hypot.f64 1 x) 3))
(+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))
(fma.f64 (*.f64 (fma.f64 x x 1) 1) (hypot.f64 1 x) (pow.f64 x 3))
(fma.f64 (hypot.f64 1 x) (fma.f64 x x 1) (pow.f64 x 3))
(fma.f64 (*.f64 (fma.f64 x x 1) (cbrt.f64 (fma.f64 x x 1))) (cbrt.f64 (hypot.f64 1 x)) (pow.f64 x 3))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (*.f64 (fma.f64 x x 1) (cbrt.f64 (hypot.f64 1 x))) (pow.f64 x 3))
(fma.f64 (fma.f64 x x 1) (*.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x))) (pow.f64 x 3))
(fma.f64 (*.f64 (fma.f64 x x 1) (sqrt.f64 (hypot.f64 1 x))) (sqrt.f64 (hypot.f64 1 x)) (pow.f64 x 3))
(fma.f64 (hypot.f64 1 x) (fma.f64 x x 1) (pow.f64 x 3))

eval300.0ms (5.6%)

Compiler

Compiled 15206 to 10613 computations (30.2% saved)

prune111.0ms (2.1%)

Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New6407647
Fresh123
Picked011
Done325
Total64412656
Error
0.4b
Counts
656 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
▶44.2b
(copysign.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) x)
43.9b
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
56.7b
(copysign.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (-.f64 (log.f64 (+.f64 (pow.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) 3) (pow.f64 x 6))) (log.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x (neg.f64 x)))))))) x)
▶54.3b
(copysign.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 2)) x)
54.3b
(copysign.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log1p.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (fma.f64 x x -1)))) x)
✓54.3b
(copysign.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) x)
▶53.0b
(copysign.f64 (+.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))) (log.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))) x)
▶47.0b
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
▶13.5b
(copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x)
✓47.0b
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
✓43.9b
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
44.2b
(copysign.f64 (exp.f64 (log.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))) x)
Compiler

Compiled 443 to 327 computations (26.2% saved)

localize16.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.5b
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
✓1.4b
(+.f64 x (-.f64 (hypot.f64 1 x) 1))
✓2.2b
(-.f64 (hypot.f64 1 x) 1)
Compiler

Compiled 36 to 26 computations (27.8% saved)

series23.0ms (0.4%)

Counts
3 → 0
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (hypot.f64 1 x) 1)
0.0ms
x
@0
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
0.0ms
x
@-inf
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
0.0ms
x
@inf
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
0.0ms
x
@inf
(-.f64 (hypot.f64 1 x) 1)
Compiler

Compiled 2255 to 1870 computations (17.1% saved)

rewrite49.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
847×pow1_binary64
790×add-log-exp_binary64
789×expm1-log1p-u_binary64
788×log1p-expm1-u_binary64
774×add-exp-log_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0729
115629
2215926
Stop Event
1×node limit
Counts
3 → 82
Calls
Call 1
Inputs
(-.f64 (hypot.f64 1 x) 1)
(+.f64 x (-.f64 (hypot.f64 1 x) 1))
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (hypot.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2) (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1) (/.f64 1 (+.f64 (+.f64 1 (*.f64 x x)) (+.f64 1 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 1 (*.f64 x x)) -1) (/.f64 1 (+.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) 1) (-.f64 (sqrt.f64 (hypot.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 1 (*.f64 x x)) (+.f64 1 (hypot.f64 1 x))) (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (hypot.f64 1 x)) (+.f64 (+.f64 1 (*.f64 x x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1) (+.f64 (+.f64 1 (*.f64 x x)) (+.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 1 (*.f64 (hypot.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 1 (*.f64 x x)) -1) (+.f64 1 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 1 (*.f64 x x)) -1) (-.f64 (hypot.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1)) (neg.f64 (+.f64 (+.f64 1 (*.f64 x x)) (+.f64 1 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (+.f64 1 (*.f64 x x)) -1)) (neg.f64 (+.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (hypot.f64 1 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (hypot.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (hypot.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (hypot.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (hypot.f64 1 x) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 x (hypot.f64 1 x)) 1)) (/.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2) (+.f64 (-.f64 x (hypot.f64 1 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 2) (cbrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) (sqrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (-.f64 (+.f64 (hypot.f64 1 x) -1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (/.f64 1 (+.f64 (-.f64 x (hypot.f64 1 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (-.f64 (+.f64 (hypot.f64 1 x) -1) x))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (-.f64 x (hypot.f64 1 x)) 1) (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3)) (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (-.f64 (+.f64 (hypot.f64 1 x) -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3)) (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2) (-.f64 (*.f64 x x) (*.f64 x (+.f64 (hypot.f64 1 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (+.f64 (-.f64 x (hypot.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (-.f64 (+.f64 (hypot.f64 1 x) -1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2))) (neg.f64 (+.f64 (-.f64 x (hypot.f64 1 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1) (+.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) (+.f64 x (hypot.f64 1 x))) (+.f64 1 (*.f64 (+.f64 x (hypot.f64 1 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) (+.f64 x (hypot.f64 1 x))) 1) (+.f64 (+.f64 x (hypot.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2) (*.f64 x x)) (-.f64 (+.f64 (hypot.f64 1 x) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (+.f64 (hypot.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (hypot.f64 1 x) -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (hypot.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2) (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (hypot.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) x)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))))

simplify41.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
600×distribute-rgt-in_binary64
554×distribute-lft-in_binary64
522×fma-def_binary64
478×unswap-sqr_binary64
400×times-frac_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01751308
14411143
217231114
Stop Event
1×node limit
Counts
82 → 98
Calls
Call 1
Inputs
(+.f64 (hypot.f64 1 x) -1)
(+.f64 -1 (hypot.f64 1 x))
(*.f64 1 (+.f64 (hypot.f64 1 x) -1))
(*.f64 (+.f64 (hypot.f64 1 x) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2) (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)))
(*.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)))
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1) (/.f64 1 (+.f64 (+.f64 1 (*.f64 x x)) (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (+.f64 (+.f64 1 (*.f64 x x)) -1) (/.f64 1 (+.f64 1 (hypot.f64 1 x))))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) 1) (-.f64 (sqrt.f64 (hypot.f64 1 x)) 1))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (*.f64 x x)) (+.f64 1 (hypot.f64 1 x))) (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1)))
(/.f64 1 (/.f64 (+.f64 1 (hypot.f64 1 x)) (+.f64 (+.f64 1 (*.f64 x x)) -1)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1) (+.f64 (+.f64 1 (*.f64 x x)) (+.f64 1 (hypot.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 1 (*.f64 (hypot.f64 1 x) -1))))
(/.f64 (+.f64 (+.f64 1 (*.f64 x x)) -1) (+.f64 1 (hypot.f64 1 x)))
(/.f64 (+.f64 (+.f64 1 (*.f64 x x)) -1) (-.f64 (hypot.f64 1 x) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1)) (neg.f64 (+.f64 (+.f64 1 (*.f64 x x)) (+.f64 1 (hypot.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 (+.f64 1 (*.f64 x x)) -1)) (neg.f64 (+.f64 1 (hypot.f64 1 x))))
(pow.f64 (+.f64 (hypot.f64 1 x) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 3)
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2)
(pow.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2))
(log.f64 (exp.f64 (+.f64 (hypot.f64 1 x) -1)))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3))
(expm1.f64 (log.f64 (hypot.f64 1 x)))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 1 x) -1)))
(exp.f64 (log.f64 (+.f64 (hypot.f64 1 x) -1)))
(fma.f64 1 (hypot.f64 1 x) -1)
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) -1)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) -1)
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
(-.f64 (+.f64 x (hypot.f64 1 x)) 1)
(-.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 x (hypot.f64 1 x)) 1)) (/.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2) (+.f64 (-.f64 x (hypot.f64 1 x)) 1)))
(*.f64 1 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))
(*.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) 1)
(*.f64 (cbrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 2) (cbrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))
(*.f64 (sqrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) (sqrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (-.f64 (+.f64 (hypot.f64 1 x) -1) x)))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (/.f64 1 (+.f64 (-.f64 x (hypot.f64 1 x)) 1)))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (-.f64 (+.f64 (hypot.f64 1 x) -1) x))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3))))
(/.f64 1 (/.f64 (+.f64 (-.f64 x (hypot.f64 1 x)) 1) (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3)) (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (-.f64 (+.f64 (hypot.f64 1 x) -1) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3)) (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2) (-.f64 (*.f64 x x) (*.f64 x (+.f64 (hypot.f64 1 x) -1)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (+.f64 (-.f64 x (hypot.f64 1 x)) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (-.f64 (+.f64 (hypot.f64 1 x) -1) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2))) (neg.f64 (+.f64 (-.f64 x (hypot.f64 1 x)) 1)))
(/.f64 (-.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1) (+.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) (+.f64 x (hypot.f64 1 x))) (+.f64 1 (*.f64 (+.f64 x (hypot.f64 1 x)) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) (+.f64 x (hypot.f64 1 x))) 1) (+.f64 (+.f64 x (hypot.f64 1 x)) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2) (*.f64 x x)) (-.f64 (+.f64 (hypot.f64 1 x) -1) x))
(pow.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) 1)
(pow.f64 (pow.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 3)
(pow.f64 (sqrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) 2))
(log.f64 (exp.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) 3))
(expm1.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))
(exp.f64 (log.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))
(fma.f64 1 x (+.f64 (hypot.f64 1 x) -1))
(fma.f64 1 (+.f64 (hypot.f64 1 x) -1) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (hypot.f64 1 x) -1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2) (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (hypot.f64 1 x) -1))
(fma.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) x)
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
Outputs
(+.f64 (hypot.f64 1 x) -1)
(+.f64 -1 (hypot.f64 1 x))
(+.f64 (hypot.f64 1 x) -1)
(*.f64 1 (+.f64 (hypot.f64 1 x) -1))
(+.f64 (hypot.f64 1 x) -1)
(*.f64 (+.f64 (hypot.f64 1 x) -1) 1)
(+.f64 (hypot.f64 1 x) -1)
(*.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2))
(+.f64 (hypot.f64 1 x) -1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2) (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)))
(+.f64 (hypot.f64 1 x) -1)
(*.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)))
(+.f64 (hypot.f64 1 x) -1)
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1) (/.f64 1 (+.f64 (+.f64 1 (*.f64 x x)) (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x))))))
(/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (hypot.f64 1 x) (+.f64 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (hypot.f64 1 x) (fma.f64 x x 2)))
(*.f64 (+.f64 (+.f64 1 (*.f64 x x)) -1) (/.f64 1 (+.f64 1 (hypot.f64 1 x))))
(*.f64 (+.f64 1 (+.f64 (*.f64 x x) -1)) (/.f64 1 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (+.f64 (*.f64 x x) 0) (+.f64 1 (hypot.f64 1 x)))
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) 1) (-.f64 (sqrt.f64 (hypot.f64 1 x)) 1))
(+.f64 (hypot.f64 1 x) -1)
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (*.f64 x x)) (+.f64 1 (hypot.f64 1 x))) (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x))))))
(/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (hypot.f64 1 x) (+.f64 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (hypot.f64 1 x) (fma.f64 x x 2)))
(/.f64 1 (/.f64 (+.f64 1 (hypot.f64 1 x)) (+.f64 (+.f64 1 (*.f64 x x)) -1)))
(*.f64 (+.f64 1 (+.f64 (*.f64 x x) -1)) (/.f64 1 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (+.f64 (*.f64 x x) 0) (+.f64 1 (hypot.f64 1 x)))
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1) (+.f64 (+.f64 1 (*.f64 x x)) (+.f64 1 (hypot.f64 1 x))))
(*.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x))))))
(/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (hypot.f64 1 x) (+.f64 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (hypot.f64 1 x) (fma.f64 x x 2)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 1 (*.f64 (hypot.f64 1 x) -1))))
(*.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x))))))
(/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (hypot.f64 1 x) (+.f64 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (hypot.f64 1 x) (fma.f64 x x 2)))
(/.f64 (+.f64 (+.f64 1 (*.f64 x x)) -1) (+.f64 1 (hypot.f64 1 x)))
(*.f64 (+.f64 1 (+.f64 (*.f64 x x) -1)) (/.f64 1 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (+.f64 (*.f64 x x) 0) (+.f64 1 (hypot.f64 1 x)))
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(/.f64 (+.f64 (+.f64 1 (*.f64 x x)) -1) (-.f64 (hypot.f64 1 x) -1))
(*.f64 (+.f64 1 (+.f64 (*.f64 x x) -1)) (/.f64 1 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (+.f64 (*.f64 x x) 0) (+.f64 1 (hypot.f64 1 x)))
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) -1)) (neg.f64 (+.f64 (+.f64 1 (*.f64 x x)) (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x))))))
(/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (hypot.f64 1 x) (+.f64 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (hypot.f64 1 x) (fma.f64 x x 2)))
(/.f64 (neg.f64 (+.f64 (+.f64 1 (*.f64 x x)) -1)) (neg.f64 (+.f64 1 (hypot.f64 1 x))))
(*.f64 (+.f64 1 (+.f64 (*.f64 x x) -1)) (/.f64 1 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (+.f64 (*.f64 x x) 0) (+.f64 1 (hypot.f64 1 x)))
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(pow.f64 (+.f64 (hypot.f64 1 x) -1) 1)
(+.f64 (hypot.f64 1 x) -1)
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 3)
(+.f64 (hypot.f64 1 x) -1)
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2)
(+.f64 (hypot.f64 1 x) -1)
(pow.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) 1/3)
(+.f64 (hypot.f64 1 x) -1)
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2))
(+.f64 (hypot.f64 1 x) -1)
(log.f64 (exp.f64 (+.f64 (hypot.f64 1 x) -1)))
(+.f64 (hypot.f64 1 x) -1)
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3))
(+.f64 (hypot.f64 1 x) -1)
(expm1.f64 (log.f64 (hypot.f64 1 x)))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 1 x) -1)))
(+.f64 (hypot.f64 1 x) -1)
(exp.f64 (log.f64 (+.f64 (hypot.f64 1 x) -1)))
(+.f64 (hypot.f64 1 x) -1)
(fma.f64 1 (hypot.f64 1 x) -1)
(+.f64 (hypot.f64 1 x) -1)
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) -1)
(+.f64 (hypot.f64 1 x) -1)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) -1)
(+.f64 (hypot.f64 1 x) -1)
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
(+.f64 (-.f64 (hypot.f64 1 x) 1) x)
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(-.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 (-.f64 (hypot.f64 1 x) 1) x)
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(-.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 x (hypot.f64 1 x)) 1)) (/.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2) (+.f64 (-.f64 x (hypot.f64 1 x)) 1)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (+.f64 1 (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))
(+.f64 (-.f64 (hypot.f64 1 x) 1) x)
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(*.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) 1)
(+.f64 (-.f64 (hypot.f64 1 x) 1) x)
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(*.f64 (cbrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 2))
(+.f64 (-.f64 (hypot.f64 1 x) 1) x)
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 2) (cbrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))
(+.f64 (-.f64 (hypot.f64 1 x) 1) x)
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(*.f64 (sqrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) (sqrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))
(+.f64 (-.f64 (hypot.f64 1 x) 1) x)
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (-.f64 (+.f64 (hypot.f64 1 x) -1) x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 -1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 -1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 1 (-.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (/.f64 1 (+.f64 (-.f64 x (hypot.f64 1 x)) 1)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (+.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (-.f64 (+.f64 (hypot.f64 1 x) -1) x))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3))))
(*.f64 (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 -1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 -1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 1 (-.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)))
(/.f64 1 (/.f64 (+.f64 (-.f64 x (hypot.f64 1 x)) 1) (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (+.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3)) (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (-.f64 (+.f64 (hypot.f64 1 x) -1) x))))
(*.f64 (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 -1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 -1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 1 (-.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3)) (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2) (-.f64 (*.f64 x x) (*.f64 x (+.f64 (hypot.f64 1 x) -1)))))
(*.f64 (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 -1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 -1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 1 (-.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (+.f64 (-.f64 x (hypot.f64 1 x)) 1))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (+.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (-.f64 (+.f64 (hypot.f64 1 x) -1) x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 -1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 -1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 1 (-.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2))) (neg.f64 (+.f64 (-.f64 x (hypot.f64 1 x)) 1)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (+.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1) (+.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) (+.f64 x (hypot.f64 1 x))) (+.f64 1 (*.f64 (+.f64 x (hypot.f64 1 x)) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) -1) (fma.f64 (+.f64 x (hypot.f64 1 x)) (+.f64 x (hypot.f64 1 x)) (+.f64 1 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) (fma.f64 (+.f64 x (hypot.f64 1 x)) (+.f64 x (hypot.f64 1 x)) (+.f64 (hypot.f64 1 x) (+.f64 x 1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) (+.f64 1 (*.f64 (+.f64 x (hypot.f64 1 x)) (+.f64 1 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (+.f64 x (hypot.f64 1 x)) (+.f64 x (hypot.f64 1 x))) 1) (+.f64 (+.f64 x (hypot.f64 1 x)) 1))
(+.f64 (-.f64 (hypot.f64 1 x) 1) x)
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(/.f64 (-.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2) (*.f64 x x)) (-.f64 (+.f64 (hypot.f64 1 x) -1) x))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (+.f64 1 (-.f64 x (hypot.f64 1 x))))
(pow.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) 1)
(+.f64 (-.f64 (hypot.f64 1 x) 1) x)
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(pow.f64 (pow.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) 3) 1/3)
(+.f64 (-.f64 (hypot.f64 1 x) 1) x)
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(pow.f64 (cbrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 3)
(+.f64 (-.f64 (hypot.f64 1 x) 1) x)
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(pow.f64 (sqrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 2)
(+.f64 (-.f64 (hypot.f64 1 x) 1) x)
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) 2))
(+.f64 (-.f64 (hypot.f64 1 x) 1) x)
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(log.f64 (exp.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))
(+.f64 (-.f64 (hypot.f64 1 x) 1) x)
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) 3))
(+.f64 (-.f64 (hypot.f64 1 x) 1) x)
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(expm1.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))
(+.f64 (-.f64 (hypot.f64 1 x) 1) x)
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(exp.f64 (log.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))
(+.f64 (-.f64 (hypot.f64 1 x) 1) x)
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(fma.f64 1 x (+.f64 (hypot.f64 1 x) -1))
(+.f64 (-.f64 (hypot.f64 1 x) 1) x)
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(fma.f64 1 (+.f64 (hypot.f64 1 x) -1) x)
(+.f64 (-.f64 (hypot.f64 1 x) 1) x)
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (hypot.f64 1 x) -1))
(+.f64 (-.f64 (hypot.f64 1 x) 1) x)
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) 2) (cbrt.f64 (+.f64 (hypot.f64 1 x) -1)) x)
(+.f64 (-.f64 (hypot.f64 1 x) 1) x)
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (hypot.f64 1 x) -1))
(+.f64 (-.f64 (hypot.f64 1 x) 1) x)
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(fma.f64 (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) (sqrt.f64 (+.f64 (hypot.f64 1 x) -1)) x)
(+.f64 (-.f64 (hypot.f64 1 x) 1) x)
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(+.f64 1 (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(+.f64 1 (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(+.f64 1 (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(+.f64 1 (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(+.f64 1 (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(+.f64 1 (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(+.f64 1 (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(+.f64 1 (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 1 (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(+.f64 1 (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))

localize16.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.5b
(-.f64 (hypot.f64 1 x) x)
✓4.0b
(log.f64 (-.f64 (hypot.f64 1 x) x))
Compiler

Compiled 33 to 22 computations (33.3% saved)

series10.0ms (0.2%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log.f64 (-.f64 (hypot.f64 1 x) x))
0.0ms
x
@-inf
(log.f64 (-.f64 (hypot.f64 1 x) x))
0.0ms
x
@inf
(log.f64 (-.f64 (hypot.f64 1 x) x))
Compiler

Compiled 1050 to 900 computations (14.3% saved)

rewrite41.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
629×pow1_binary64
584×add-log-exp_binary64
584×log1p-expm1-u_binary64
584×expm1-log1p-u_binary64
572×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
11229
215699
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(log.f64 (-.f64 (hypot.f64 1 x) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))))

simplify39.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
841×fma-def_binary64
586×distribute-rgt-in_binary64
525×distribute-lft-in_binary64
342×log-prod_binary64
236×distribute-rgt-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
058252
1134218
2452218
32315216
46812216
Stop Event
1×node limit
Counts
20 → 30
Calls
Call 1
Inputs
(+.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))
(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
Outputs
(+.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 3 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log1p.f64 (*.f64 x (+.f64 x (+.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log1p.f64 (*.f64 x (fma.f64 2 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 x x))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 1 (-.f64 (*.f64 x x) (*.f64 x x)))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))
(log1p.f64 (+.f64 (-.f64 (hypot.f64 1 x) x) -1))
(log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))
(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
✓0.2b
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
0.9b
(+.f64 x (hypot.f64 1 x))
4.3b
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 45 to 32 computations (28.9% saved)

series174.0ms (3.2%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
26.0ms
x
@-inf
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
6.0ms
x
@inf
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
5.0ms
x
@-inf
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
1.0ms
x
@0
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
1.0ms
x
@inf
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
Compiler

Compiled 12790 to 11515 computations (10% saved)

rewrite47.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
780×pow1_binary64
733×add-log-exp_binary64
732×log1p-expm1-u_binary64
732×expm1-log1p-u_binary64
716×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
118820
2204220
Stop Event
1×node limit
Counts
2 → 43
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) (*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) 3) (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6)) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 x (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3) (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))))))

simplify57.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
483×unswap-sqr_binary64
480×distribute-rgt-in_binary64
423×log-prod_binary64
421×distribute-lft-in_binary64
366×cube-prod_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0100620
1213551
2630487
32717476
Stop Event
1×node limit
Counts
43 → 59
Calls
Call 1
Inputs
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) (*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) 3) (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) 3))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6)) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (+.f64 1 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(*.f64 1 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3) (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
Outputs
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 -1) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) (*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) 3) (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) 3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6)) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(log1p.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 1)))
(log1p.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (+.f64 1 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 1 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1/3))
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6))
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3) (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/6) 4)
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/3)
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) 2)
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 1 (-.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 0)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))

localize45.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(-.f64 (hypot.f64 1 x) x)
✓3.9b
(log.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
✓4.1b
(log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)))
✓5.8b
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))
Compiler

Compiled 99 to 74 computations (25.3% saved)

series52.0ms (1%)

Counts
3 → 0
Calls

9 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))
3.0ms
x
@inf
(log.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
1.0ms
x
@-inf
(log.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
1.0ms
x
@0
(log.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
1.0ms
x
@0
(log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)))
Compiler

Compiled 4520 to 3545 computations (21.6% saved)

rewrite63.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
481×log-prod_binary64
366×prod-diff_binary64
296×pow-prod-down_binary64
283×pow2_binary64
214×pow-to-exp_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01239
124839
2297036
Stop Event
1×node limit
Counts
3 → 174
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))
(log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)))
(log.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
Outputs
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*.f64 3 (*.f64 1/3 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (*.f64 -2 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3)) (+.f64 0 (+.f64 (pow.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2) (*.f64 0 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (neg.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 -1) (neg.f64 (log.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 -1)) 2) (cbrt.f64 (log.f64 -1)) (neg.f64 (log.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 -1)) (sqrt.f64 (log.f64 -1)) (neg.f64 (log.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))))))

simplify105.0ms (2%)

Algorithm
1×egg-herbie
Rules
464×log-prod_binary64
401×unswap-sqr_binary64
351×sqr-pow_binary64
266×exp-prod_binary64
249×distribute-rgt-out_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03528589937699
18354294970348
229303009
Stop Event
1×node limit
Counts
174 → 211
Calls
Call 1
Inputs
(+.f64 0 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2))) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2) 1)
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -4)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -4)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)))
(*.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/6) (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(*.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2) 5/6) (pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2) 1/18))
(*.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -4)))) (pow.f64 (E.f64) (*.f64 1/3 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(/.f64 1 (pow.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(/.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(/.f64 -1 (*.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 -1 (*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (*.f64 -1 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -1) (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (E.f64))
(pow.f64 (-.f64 (hypot.f64 1 x) x) -2/3)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2) 1)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)
(pow.f64 (E.f64) (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (E.f64) (*.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(pow.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -4) 1/2)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2) -1/3)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3) -2/9)
(pow.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) -1)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -4) 1/6)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -6) 1/9)
(pow.f64 (pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2) 1/18) 6)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)) 3)
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -6)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/6) 4)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) -4/3)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6) -4)
(pow.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)) 2/3)
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (*.f64 (sqrt.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (+.f64 (sqrt.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (*.f64 (cbrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (*.f64 (sqrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2))) (*.f64 (cbrt.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2))) (+.f64 (cbrt.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (cbrt.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(pow.f64 (pow.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2) -1)
(pow.f64 (pow.f64 (E.f64) 2) (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (cbrt.f64 (E.f64)) (*.f64 -2 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (pow.f64 (cbrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) 1) (cbrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))) (cbrt.f64 (cbrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (cbrt.f64 (sqrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (sqrt.f64 (cbrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 1) (sqrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (cbrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (cbrt.f64 (sqrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))) (sqrt.f64 (cbrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (sqrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (sqrt.f64 (sqrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(pow.f64 (*.f64 (exp.f64 (sqrt.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (exp.f64 (sqrt.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (sqrt.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (*.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2))) (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)))) (cbrt.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2))))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)))
(exp.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (*.f64 (*.f64 -2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/3))
(exp.f64 (*.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -2/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -2))
(exp.f64 (*.f64 (*.f64 2/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) -1))
(exp.f64 (*.f64 (*.f64 1/3 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3))
(+.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) 0)
(+.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 0 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/6)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -4))) (*.f64 1/3 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (*.f64 1/3 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -4))))
(+.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/6)))
(+.f64 (log.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2) 5/6)) (*.f64 1/3 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (log.f64 -1) (log.f64 (*.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 -1) (log.f64 (*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))
(-.f64 0 (*.f64 2/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 0 (log.f64 (pow.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 1)
(-.f64 (log.f64 (*.f64 -1 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))) (log.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (*.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -1)) (log.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 1 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 -2 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(*.f64 (cbrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (cbrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (sqrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 -1 (*.f64 2/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 1/3 (*.f64 -2 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 3 (*.f64 1/3 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 2 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(pow.f64 (pow.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3)
(pow.f64 (sqrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)
(neg.f64 (*.f64 2/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(neg.f64 (log.f64 (pow.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)))
(sqrt.f64 (pow.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(cbrt.f64 (pow.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3))
(expm1.f64 (log1p.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(log1p.f64 (expm1.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(exp.f64 (log.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 2))
(fma.f64 1 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(fma.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(fma.f64 (cbrt.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (cbrt.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(fma.f64 (sqrt.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(fma.f64 -1 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) 0)
(+.f64 (log.f64 -1) (log.f64 (/.f64 1 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))
(+.f64 0 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (*.f64 1/3 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (*.f64 1/3 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/6)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/6)))
(+.f64 (*.f64 1/3 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (*.f64 1/3 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -4)))) (log.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -2)) (*.f64 1/3 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(-.f64 0 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 0 (log.f64 (neg.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 1)
(-.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/6)) (*.f64 1/6 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -2)) (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 1 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(*.f64 (cbrt.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (cbrt.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (sqrt.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 -1 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 1/3 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 3 (*.f64 1/3 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 2 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/6)))
(*.f64 1/2 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1/6 (*.f64 -2 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3)) (+.f64 0 (+.f64 (pow.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2) (*.f64 0 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(pow.f64 (pow.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3)
(pow.f64 (sqrt.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)
(neg.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(neg.f64 (log.f64 (neg.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))
(sqrt.f64 (pow.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(cbrt.f64 (pow.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(log1p.f64 (expm1.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(exp.f64 (log.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 2))
(fma.f64 1 (log.f64 -1) (neg.f64 (log.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 -1)) 2) (cbrt.f64 (log.f64 -1)) (neg.f64 (log.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))
(fma.f64 (sqrt.f64 (log.f64 -1)) (sqrt.f64 (log.f64 -1)) (neg.f64 (log.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))
Outputs
(+.f64 0 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2))
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2))) 1)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)
(*.f64 1 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2))
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2) 1)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -4)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -4)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -4)))
(*.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/6) (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(*.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2) (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/6))
(*.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/6) (pow.f64 (-.f64 (hypot.f64 1 x) x) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2) 5/6) (pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2) 1/18))
(*.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -4)))) (pow.f64 (E.f64) (*.f64 1/3 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -4)))) (pow.f64 (E.f64) (*.f64 -2/9 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -4)))) (pow.f64 (E.f64) (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -2/9)))
(*.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -4)))) (pow.f64 (exp.f64 -2/9) (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)
(/.f64 1 (pow.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)
(/.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)
(/.f64 -1 (*.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)
(/.f64 -1 (*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)
(/.f64 (*.f64 -1 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -1) (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (E.f64))
(pow.f64 (-.f64 (hypot.f64 1 x) x) -2/3)
(pow.f64 (exp.f64 -2/3) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2) 1/3)
(pow.f64 (exp.f64 -2/3) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))
(pow.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2) 1)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)
(pow.f64 (E.f64) (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (exp.f64 -2/3) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))
(pow.f64 (E.f64) (*.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
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(-.f64 (log.f64 -1) (log.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(neg.f64 (log.f64 (neg.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(neg.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(sqrt.f64 (pow.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(fabs.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(cbrt.f64 (pow.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1/3)
(expm1.f64 (log1p.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1/3)
(log1p.f64 (expm1.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1/3)
(exp.f64 (log.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1/3)
(exp.f64 (*.f64 (log.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1/3)
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)) 1/3))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1/3)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 3))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1/3)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 2))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1/3)
(fma.f64 1 (log.f64 -1) (neg.f64 (log.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(neg.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 -1)) 2) (cbrt.f64 (log.f64 -1)) (neg.f64 (log.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(neg.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(fma.f64 (sqrt.f64 (log.f64 -1)) (sqrt.f64 (log.f64 -1)) (neg.f64 (log.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(neg.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))

localize81.0ms (1.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓3.8b
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
✓5.6b
(sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))
10.3b
(+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))
12.1b
(log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))
Compiler

Compiled 153 to 112 computations (26.8% saved)

series41.0ms (0.8%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
2.0ms
x
@inf
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
1.0ms
x
@-inf
(sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))
1.0ms
x
@inf
(sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))
1.0ms
x
@0
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
Compiler

Compiled 4570 to 4310 computations (5.7% saved)

rewrite55.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
907×pow1_binary64
839×add-log-exp_binary64
839×log1p-expm1-u_binary64
839×expm1-log1p-u_binary64
820×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0935
118435
2231635
Stop Event
1×node limit
Counts
2 → 40
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) (cbrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) 1/4) (pow.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) (log.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) (log.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) 2) (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) (sqrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))))))

simplify48.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
916×fma-def_binary64
483×log-prod_binary64
372×fma-neg_binary64
266×associate-*l*_binary64
241×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
089903
1165855
2531809
32860777
46407777
Stop Event
1×node limit
Counts
40 → 49
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 1)
(*.f64 1 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(*.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 1)
(*.f64 (cbrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) (cbrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (hypot.f64 1 x)))
(*.f64 (pow.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) 1/4) (pow.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) 1/4))
(*.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 1/2))
(pow.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 1)
(pow.f64 (pow.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 3)
(pow.f64 (pow.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(+.f64 0 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(+.f64 (log.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) (log.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) (log.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))
(-.f64 (+.f64 1 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) 1)
(*.f64 1 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 1)
(*.f64 (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) 2) (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) (sqrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))
(pow.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 1)
(pow.f64 (pow.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) 3)
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 2))
(cbrt.f64 (pow.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))
(log1p.f64 (-.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 1))
(exp.f64 (log.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))
Outputs
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 1)
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) -1)
(+.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 0)
(sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))
(*.f64 1 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) -1)
(+.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 0)
(sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))
(*.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 1)
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) -1)
(+.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 0)
(sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))
(*.f64 (cbrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) (cbrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(*.f64 (cbrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (hypot.f64 1 x)))
(*.f64 (pow.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) 1/4) (pow.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) 1/4))
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) -1)
(+.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 0)
(sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))
(*.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (cbrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (cbrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (cbrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (cbrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 3/2)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) -1)
(+.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 0)
(sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (cbrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (cbrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (cbrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (cbrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 3/2)
(pow.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) 1/2)
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) -1)
(+.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 0)
(sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 1)
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) -1)
(+.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 0)
(sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) 3/2))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 3)
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) -1)
(+.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 0)
(sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) 1/4) 2)
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) -1)
(+.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 0)
(sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))
(fabs.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) -1)
(+.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 0)
(sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) -1)
(+.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 0)
(sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) -1)
(+.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 0)
(sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) -1)
(+.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 0)
(sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) -1)
(+.f64 (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 0)
(sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))
(+.f64 0 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) (log.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) (log.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))
(-.f64 (+.f64 1 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) 1)
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 1 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))))
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 1)
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) 2))
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) 2) (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) (sqrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 1)
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 3) 1/3)
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) 3)
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))) 2)
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 2))
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(cbrt.f64 (pow.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 3))
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(log1p.f64 (-.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) 1))
(log1p.f64 (+.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))) -1))
(exp.f64 (log.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))
(log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))

eval467.0ms (8.7%)

Compiler

Compiled 21265 to 15999 computations (24.8% saved)

prune158.0ms (2.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New7984802
Fresh404
Picked101
Done437
Total8077814
Error
0.0b
Counts
814 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
▶47.0b
(copysign.f64 (neg.f64 (-.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)) x)
▶46.4b
(copysign.f64 (neg.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))) x)
✓47.0b
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
▶43.5b
(copysign.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) x)
▶20.9b
(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x))))) x)
✓13.5b
(copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x)
✓43.9b
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
Compiler

Compiled 82 to 59 computations (28% saved)

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (hypot.f64 1 x))
✓0.5b
(log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))))
✓1.4b
(+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x))))
✓12.9b
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
Compiler

Compiled 60 to 35 computations (41.7% saved)

series28.0ms (0.5%)

Counts
4 → 0
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))))
0.0ms
x
@0
(log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))))
0.0ms
x
@inf
(log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))))
0.0ms
x
@0
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
0.0ms
x
@inf
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
Compiler

Compiled 2795 to 2310 computations (17.4% saved)

rewrite72.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
467×log-prod_binary64
377×fma-def_binary64
358×exp-prod_binary64
306×pow-prod-down_binary64
257×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0954
119954
2290650
Stop Event
1×node limit
Counts
4 → 198
Calls
Call 1
Inputs
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x))))
(log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))))
(+.f64 1 (hypot.f64 1 x))
Outputs
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simplify83.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
487×distribute-rgt-in_binary64
464×cancel-sign-sub-inv_binary64
461×distribute-lft-in_binary64
278×fma-neg_binary64
268×sqr-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04274088
110143660
232283656
Stop Event
1×node limit
Counts
198 → 255
Calls
Call 1
Inputs
(+.f64 0 (*.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x)))) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x)))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x)))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x)))) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) x))) 1)
(*.f64 x (/.f64 1 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))
(*.f64 x (*.f64 x (/.f64 1 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (*.f64 x x) (/.f64 1 (+.f64 1 (hypot.f64 1 x))))
(*.f64 1 (*.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) x))
(*.f64 (*.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) x) 1)
(*.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)) (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) 4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) 4)) (cbrt.f64 (*.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 (neg.f64 (hypot.f64 1 x)) -1)))
(*.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 x))) (*.f64 x x))
(*.f64 (/.f64 x 1) (/.f64 x (+.f64 1 (hypot.f64 1 x))))
(*.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) x) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 1 (hypot.f64 1 x))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (hypot.f64 1 x)))))
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(exp.f64 (log.f64 (log1p.f64 (fma.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) x x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (fma.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) x x))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (fma.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) x x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (fma.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) x x)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (fma.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) x x)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (fma.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) x x))) 1) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (hypot.f64 1 x)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (-.f64 1 (hypot.f64 1 x))))
(*.f64 1 (+.f64 1 (hypot.f64 1 x)))
(*.f64 (+.f64 1 (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 1 (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 1 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1 (hypot.f64 1 x))))
(*.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) 1) 1)))
(*.f64 (-.f64 1 (fma.f64 x x 1)) (/.f64 1 (-.f64 1 (hypot.f64 1 x))))
(/.f64 (*.f64 x x) (-.f64 (hypot.f64 1 x) 1))
(/.f64 1 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) 1) 1) (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 1 (/.f64 (-.f64 1 (hypot.f64 1 x)) (-.f64 1 (fma.f64 x x 1))))
(/.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) 1) 1))
(/.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (fma.f64 x x 1) (-.f64 1 (hypot.f64 1 x))))
(/.f64 (-.f64 1 (fma.f64 x x 1)) (-.f64 1 (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) 1) 1)))
(/.f64 (neg.f64 (-.f64 1 (fma.f64 x x 1))) (neg.f64 (-.f64 1 (hypot.f64 1 x))))
(pow.f64 (+.f64 1 (hypot.f64 1 x)) 1)
(pow.f64 (E.f64) (log1p.f64 (hypot.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (+.f64 1 (hypot.f64 1 x))) 2)
(pow.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) 1) 1) (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))) -1)
(pow.f64 (/.f64 (-.f64 1 (hypot.f64 1 x)) (-.f64 1 (fma.f64 x x 1))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (hypot.f64 1 x))) 2)) (cbrt.f64 (log1p.f64 (hypot.f64 1 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (hypot.f64 1 x)))) (sqrt.f64 (log1p.f64 (hypot.f64 1 x))))
(sqrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (hypot.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 1 (hypot.f64 1 x))))
(exp.f64 (log1p.f64 (hypot.f64 1 x)))
(exp.f64 (*.f64 (log1p.f64 (hypot.f64 1 x)) 1))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (hypot.f64 1 x))) 1/3))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (hypot.f64 1 x))) 3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (hypot.f64 1 x))) 2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (hypot.f64 1 x)) 1) 1))
(fma.f64 1 (hypot.f64 1 x) 1)
(fma.f64 (hypot.f64 1 x) 1 1)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) 1)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) 1)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) 1)
Outputs
(+.f64 0 (*.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) x))
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x)))) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x)))) x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x)))) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x)))) x))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x)))) x))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 x (+.f64 1 (hypot.f64 1 x)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x)))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x)))) x))))
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) x))) 1)
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))
(*.f64 x (/.f64 1 (/.f64 (+.f64 1 (hypot.f64 1 x)) x)))
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))
(*.f64 x (*.f64 x (/.f64 1 (+.f64 1 (hypot.f64 1 x)))))
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))
(*.f64 (*.f64 x x) (/.f64 1 (+.f64 1 (hypot.f64 1 x))))
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))
(*.f64 1 (*.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) x))
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))
(*.f64 (*.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) x) 1)
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))
(*.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (+.f64 1 (hypot.f64 1 x)))))
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)) (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) 4)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))) (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) 4)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) 4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) 4)) (cbrt.f64 (*.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))) (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) 4)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) 4)))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))))
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (+.f64 (neg.f64 (hypot.f64 1 x)) -1)))
(/.f64 (*.f64 (*.f64 x (neg.f64 x)) 1) (+.f64 (neg.f64 (hypot.f64 1 x)) -1))
(/.f64 x (/.f64 (-.f64 -1 (hypot.f64 1 x)) (neg.f64 x)))
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 -1 (hypot.f64 1 x)))
(*.f64 (/.f64 1 (+.f64 1 (hypot.f64 1 x))) (*.f64 x x))
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))
(*.f64 (/.f64 x 1) (/.f64 x (+.f64 1 (hypot.f64 1 x))))
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))
(*.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) x) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 1 (hypot.f64 1 x))))
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (hypot.f64 1 x)))))
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) -2) (/.f64 (*.f64 x x) (cbrt.f64 (+.f64 1 (hypot.f64 1 x)))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2)) (cbrt.f64 (*.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))) (/.f64 (*.f64 x (cbrt.f64 x)) (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))) (*.f64 (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2)) x))
(*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))) (*.f64 (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 2)) x))
(*.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) -1/2) (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))))
(/.f64 (*.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) -1/2) (*.f64 x x)) (sqrt.f64 (+.f64 1 (hypot.f64 1 x))))
(*.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) -1/2) (*.f64 x (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x))))))
(*.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) -1/2) (/.f64 x (/.f64 (sqrt.f64 (+.f64 1 (hypot.f64 1 x))) x)))
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) x) (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))))
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))
(*.f64 (/.f64 (*.f64 x x) (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) 1) 1))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (hypot.f64 1 x) (+.f64 (hypot.f64 1 x) -1) 1)) (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)))
(*.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))) x) (fma.f64 (hypot.f64 1 x) (+.f64 (hypot.f64 1 x) -1) 1))
(/.f64 (*.f64 x x) (/.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (+.f64 (hypot.f64 1 x) -1) 1)))
(*.f64 (/.f64 (*.f64 x x) (-.f64 1 (fma.f64 x x 1))) (-.f64 1 (hypot.f64 1 x)))
(*.f64 (/.f64 x (/.f64 (-.f64 1 (fma.f64 x x 1)) x)) (-.f64 1 (hypot.f64 1 x)))
(pow.f64 (*.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) x) 1)
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))
(pow.f64 (E.f64) (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 (hypot.f64 1 x))))
(/.f64 (*.f64 x x) (exp.f64 (log1p.f64 (hypot.f64 1 x))))
(pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) 4) 1/2)
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)) 3)
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) 2)
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))
(pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) 6) 1/3)
(cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) 6))
(pow.f64 (*.f64 (+.f64 1 (hypot.f64 1 x)) (pow.f64 x -2)) -1)
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))
(pow.f64 (/.f64 (*.f64 (+.f64 1 (hypot.f64 1 x)) (pow.f64 x -2)) 1) -1)
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 (hypot.f64 1 x)))) 2)) (cbrt.f64 (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 (hypot.f64 1 x))))) (sqrt.f64 (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 (hypot.f64 1 x)))))
(neg.f64 (/.f64 (*.f64 x x) (+.f64 (neg.f64 (hypot.f64 1 x)) -1)))
(/.f64 (*.f64 (*.f64 x (neg.f64 x)) 1) (+.f64 (neg.f64 (hypot.f64 1 x)) -1))
(/.f64 x (/.f64 (-.f64 -1 (hypot.f64 1 x)) (neg.f64 x)))
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 -1 (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) 4))
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))
(log.f64 (pow.f64 (exp.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x)))) x))
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) x))))
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) 6))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)))
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)))
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(*.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))))
(exp.f64 (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 (hypot.f64 1 x))))
(pow.f64 (E.f64) (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 (hypot.f64 1 x))))
(/.f64 (*.f64 x x) (exp.f64 (log1p.f64 (hypot.f64 1 x))))
(exp.f64 (*.f64 (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 (hypot.f64 1 x))) 1))
(pow.f64 (E.f64) (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 (hypot.f64 1 x))))
(/.f64 (*.f64 x x) (exp.f64 (log1p.f64 (hypot.f64 1 x))))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 (hypot.f64 1 x)))) 3))
(pow.f64 (E.f64) (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 (hypot.f64 1 x))))
(/.f64 (*.f64 x x) (exp.f64 (log1p.f64 (hypot.f64 1 x))))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (*.f64 1/2 (log1p.f64 (hypot.f64 1 x)))) 2))
(pow.f64 (E.f64) (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 (hypot.f64 1 x))))
(/.f64 (*.f64 x x) (exp.f64 (log1p.f64 (hypot.f64 1 x))))
(exp.f64 (*.f64 (-.f64 (log.f64 (pow.f64 x 6)) (*.f64 3 (log1p.f64 (hypot.f64 1 x)))) 1/3))
(pow.f64 (E.f64) (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 (hypot.f64 1 x))))
(/.f64 (*.f64 x x) (exp.f64 (log1p.f64 (hypot.f64 1 x))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (hypot.f64 1 x)) (log.f64 (pow.f64 x -2))) -1))
(pow.f64 (exp.f64 (+.f64 (log1p.f64 (hypot.f64 1 x)) (*.f64 -2 (log.f64 x)))) -1)
(exp.f64 (neg.f64 (fma.f64 -2 (log.f64 x) (log1p.f64 (hypot.f64 1 x)))))
(exp.f64 (*.f64 (*.f64 (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 (hypot.f64 1 x))) 1) 1))
(pow.f64 (E.f64) (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 (hypot.f64 1 x))))
(/.f64 (*.f64 x x) (exp.f64 (log1p.f64 (hypot.f64 1 x))))
(exp.f64 (*.f64 (*.f64 (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 (hypot.f64 1 x))) 3) 1/3))
(pow.f64 (E.f64) (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 (hypot.f64 1 x))))
(/.f64 (*.f64 x x) (exp.f64 (log1p.f64 (hypot.f64 1 x))))
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(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x (sqrt.f64 (+.f64 1 (hypot.f64 1 x)))) 4)) (-.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))))
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(fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x)
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(+.f64 1 (-.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x) 1))
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(+.f64 1 (hypot.f64 1 x))
(*.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) 1) 1)))
(/.f64 1 (/.f64 (fma.f64 (hypot.f64 1 x) (+.f64 (hypot.f64 1 x) -1) 1) (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (+.f64 (hypot.f64 1 x) -1) 1))
(*.f64 (-.f64 1 (fma.f64 x x 1)) (/.f64 1 (-.f64 1 (hypot.f64 1 x))))
(/.f64 (-.f64 1 (fma.f64 x x 1)) (-.f64 1 (hypot.f64 1 x)))
(/.f64 (*.f64 x x) (-.f64 (hypot.f64 1 x) 1))
(/.f64 x (/.f64 (+.f64 (hypot.f64 1 x) -1) x))
(/.f64 1 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) 1) 1) (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 1 (/.f64 (fma.f64 (hypot.f64 1 x) (+.f64 (hypot.f64 1 x) -1) 1) (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (+.f64 (hypot.f64 1 x) -1) 1))
(/.f64 1 (/.f64 (-.f64 1 (hypot.f64 1 x)) (-.f64 1 (fma.f64 x x 1))))
(/.f64 (-.f64 1 (fma.f64 x x 1)) (-.f64 1 (hypot.f64 1 x)))
(/.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) 1) 1))
(/.f64 1 (/.f64 (fma.f64 (hypot.f64 1 x) (+.f64 (hypot.f64 1 x) -1) 1) (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (+.f64 (hypot.f64 1 x) -1) 1))
(/.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (fma.f64 x x 1) (-.f64 1 (hypot.f64 1 x))))
(/.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (-.f64 (+.f64 (*.f64 x x) 2) (hypot.f64 1 x)))
(/.f64 (-.f64 1 (fma.f64 x x 1)) (-.f64 1 (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) 1) 1)))
(/.f64 1 (/.f64 (fma.f64 (hypot.f64 1 x) (+.f64 (hypot.f64 1 x) -1) 1) (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (+.f64 (hypot.f64 1 x) -1) 1))
(/.f64 (neg.f64 (-.f64 1 (fma.f64 x x 1))) (neg.f64 (-.f64 1 (hypot.f64 1 x))))
(/.f64 (-.f64 1 (fma.f64 x x 1)) (-.f64 1 (hypot.f64 1 x)))
(pow.f64 (+.f64 1 (hypot.f64 1 x)) 1)
(+.f64 1 (hypot.f64 1 x))
(pow.f64 (E.f64) (log1p.f64 (hypot.f64 1 x)))
(exp.f64 (log1p.f64 (hypot.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2) 1/2)
(+.f64 1 (hypot.f64 1 x))
(pow.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 3) 1/3)
(+.f64 1 (hypot.f64 1 x))
(pow.f64 (cbrt.f64 (+.f64 1 (hypot.f64 1 x))) 3)
(+.f64 1 (hypot.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 1 (hypot.f64 1 x))) 2)
(+.f64 1 (hypot.f64 1 x))
(pow.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) 1) 1) (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))) -1)
(/.f64 1 (/.f64 (fma.f64 (hypot.f64 1 x) (+.f64 (hypot.f64 1 x) -1) 1) (+.f64 1 (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (+.f64 1 (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (+.f64 (hypot.f64 1 x) -1) 1))
(pow.f64 (/.f64 (-.f64 1 (hypot.f64 1 x)) (-.f64 1 (fma.f64 x x 1))) -1)
(/.f64 (-.f64 1 (fma.f64 x x 1)) (-.f64 1 (hypot.f64 1 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (hypot.f64 1 x))) 2)) (cbrt.f64 (log1p.f64 (hypot.f64 1 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (hypot.f64 1 x)))) (sqrt.f64 (log1p.f64 (hypot.f64 1 x))))
(sqrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 2))
(+.f64 1 (hypot.f64 1 x))
(log.f64 (exp.f64 (+.f64 1 (hypot.f64 1 x))))
(+.f64 1 (hypot.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (hypot.f64 1 x)))))
(+.f64 1 (hypot.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 1 (hypot.f64 1 x)) 3))
(+.f64 1 (hypot.f64 1 x))
(expm1.f64 (log1p.f64 (+.f64 1 (hypot.f64 1 x))))
(+.f64 1 (hypot.f64 1 x))
(log1p.f64 (expm1.f64 (+.f64 1 (hypot.f64 1 x))))
(+.f64 1 (hypot.f64 1 x))
(exp.f64 (log1p.f64 (hypot.f64 1 x)))
(pow.f64 (E.f64) (log1p.f64 (hypot.f64 1 x)))
(exp.f64 (*.f64 (log1p.f64 (hypot.f64 1 x)) 1))
(pow.f64 (E.f64) (log1p.f64 (hypot.f64 1 x)))
(exp.f64 (log1p.f64 (hypot.f64 1 x)))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (hypot.f64 1 x))) 1/3))
(pow.f64 (E.f64) (log1p.f64 (hypot.f64 1 x)))
(exp.f64 (log1p.f64 (hypot.f64 1 x)))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (hypot.f64 1 x))) 3))
(pow.f64 (E.f64) (log1p.f64 (hypot.f64 1 x)))
(exp.f64 (log1p.f64 (hypot.f64 1 x)))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (hypot.f64 1 x))) 2))
(pow.f64 (E.f64) (log1p.f64 (hypot.f64 1 x)))
(exp.f64 (log1p.f64 (hypot.f64 1 x)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (hypot.f64 1 x)) 1) 1))
(pow.f64 (E.f64) (log1p.f64 (hypot.f64 1 x)))
(exp.f64 (log1p.f64 (hypot.f64 1 x)))
(fma.f64 1 (hypot.f64 1 x) 1)
(+.f64 1 (hypot.f64 1 x))
(fma.f64 (hypot.f64 1 x) 1 1)
(+.f64 1 (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) 1)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) 1)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) 1)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) 1)
(+.f64 1 (hypot.f64 1 x))

localize15.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.5b
(log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))
✓5.4b
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
Compiler

Compiled 34 to 24 computations (29.4% saved)

series17.0ms (0.3%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
0.0ms
x
@0
(log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))
0.0ms
x
@0
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
0.0ms
x
@inf
(log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))
0.0ms
x
@-inf
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
Compiler

Compiled 1635 to 1370 computations (16.2% saved)

rewrite47.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
879×pow1_binary64
820×expm1-log1p-u_binary64
819×add-log-exp_binary64
819×log1p-expm1-u_binary64
803×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0722
115522
2215122
Stop Event
1×node limit
Counts
2 → 55
Calls
Call 1
Inputs
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
(log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (hypot.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 x) (neg.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 x) (*.f64 (neg.f64 (-.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)) (fma.f64 (neg.f64 (-.f64 1 x)) 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (-.f64 1 x)) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (hypot.f64 1 x) -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (hypot.f64 1 x) -1) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) (sqrt.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) (/.f64 1 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 1 (*.f64 x x)) (pow.f64 (-.f64 1 x) 2)) (/.f64 1 (+.f64 (hypot.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x)))) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (hypot.f64 1 x) (-.f64 1 x)) (-.f64 (+.f64 1 (*.f64 x x)) (pow.f64 (-.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1 (*.f64 x x)) (pow.f64 (-.f64 1 x) 2)) (+.f64 (hypot.f64 1 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3))) (neg.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (+.f64 1 (*.f64 x x)) (pow.f64 (-.f64 1 x) 2))) (neg.f64 (+.f64 (hypot.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 (-.f64 1 x)) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 (neg.f64 (-.f64 1 x)) (neg.f64 (-.f64 1 x))) (*.f64 (hypot.f64 1 x) (neg.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) -1)) (-.f64 (*.f64 x x) (*.f64 (+.f64 (hypot.f64 1 x) -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 (neg.f64 (-.f64 1 x)) (neg.f64 (-.f64 1 x)))) (-.f64 (hypot.f64 1 x) (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) -1)) (*.f64 x x)) (-.f64 (+.f64 (hypot.f64 1 x) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 1 x) (neg.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 (-.f64 1 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) 2) (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) (sqrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))))))))

simplify53.0ms (1%)

Algorithm
1×egg-herbie
Rules
611×fma-def_binary64
391×distribute-rgt-in_binary64
350×distribute-lft-in_binary64
297×unswap-sqr_binary64
277×log-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01351016
1376911
21515779
37431779
Stop Event
1×node limit
Counts
55 → 70
Calls
Call 1
Inputs
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(+.f64 (hypot.f64 1 x) (neg.f64 (-.f64 1 x)))
(+.f64 (hypot.f64 1 x) (*.f64 (neg.f64 (-.f64 1 x)) 1))
(+.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)) (fma.f64 (neg.f64 (-.f64 1 x)) 1 (-.f64 1 x)))
(+.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (-.f64 1 x)))
(+.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)))
(+.f64 (neg.f64 (-.f64 1 x)) (hypot.f64 1 x))
(+.f64 (+.f64 (hypot.f64 1 x) -1) x)
(+.f64 (*.f64 (+.f64 (hypot.f64 1 x) -1) 1) x)
(*.f64 1 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))
(*.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) (sqrt.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) (/.f64 1 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x))))))
(*.f64 (-.f64 (+.f64 1 (*.f64 x x)) (pow.f64 (-.f64 1 x) 2)) (/.f64 1 (+.f64 (hypot.f64 1 x) (-.f64 1 x))))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x)))) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3))))
(/.f64 1 (/.f64 (+.f64 (hypot.f64 1 x) (-.f64 1 x)) (-.f64 (+.f64 1 (*.f64 x x)) (pow.f64 (-.f64 1 x) 2))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x)))))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (pow.f64 (-.f64 1 x) 2)) (+.f64 (hypot.f64 1 x) (-.f64 1 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3))) (neg.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x))))))
(/.f64 (neg.f64 (-.f64 (+.f64 1 (*.f64 x x)) (pow.f64 (-.f64 1 x) 2))) (neg.f64 (+.f64 (hypot.f64 1 x) (-.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 (-.f64 1 x)) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 (neg.f64 (-.f64 1 x)) (neg.f64 (-.f64 1 x))) (*.f64 (hypot.f64 1 x) (neg.f64 (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) -1)) (-.f64 (*.f64 x x) (*.f64 (+.f64 (hypot.f64 1 x) -1) x))))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 (neg.f64 (-.f64 1 x)) (neg.f64 (-.f64 1 x)))) (-.f64 (hypot.f64 1 x) (neg.f64 (-.f64 1 x))))
(/.f64 (-.f64 (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) -1)) (*.f64 x x)) (-.f64 (+.f64 (hypot.f64 1 x) -1) x))
(pow.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)) 1)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)) 2))
(log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))
(exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))
(fma.f64 1 (hypot.f64 1 x) (neg.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) 1)
(*.f64 1 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))
(*.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) 2) (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))))
(*.f64 (sqrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) (sqrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))))
(pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 1)
(pow.f64 (pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) 3)
(pow.f64 (sqrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 2))
(log.f64 (+.f64 1 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))
(cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))))
(exp.f64 (log.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))))
Outputs
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(+.f64 (hypot.f64 1 x) (neg.f64 (-.f64 1 x)))
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(+.f64 (hypot.f64 1 x) (*.f64 (neg.f64 (-.f64 1 x)) 1))
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(+.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)) (fma.f64 (neg.f64 (-.f64 1 x)) 1 (-.f64 1 x)))
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(+.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (-.f64 1 x)))
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(+.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) (-.f64 1 x)))
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(+.f64 (neg.f64 (-.f64 1 x)) (hypot.f64 1 x))
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(+.f64 (+.f64 (hypot.f64 1 x) -1) x)
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(+.f64 (*.f64 (+.f64 (hypot.f64 1 x) -1) 1) x)
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(*.f64 1 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(*.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)) 1)
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 2))
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) (sqrt.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) (/.f64 1 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) 1) (+.f64 1 (+.f64 (*.f64 x x) (*.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3)) (fma.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3)) (fma.f64 (-.f64 1 x) (+.f64 1 (-.f64 (hypot.f64 1 x) x)) (fma.f64 x x 1)))
(*.f64 (-.f64 (+.f64 1 (*.f64 x x)) (pow.f64 (-.f64 1 x) 2)) (/.f64 1 (+.f64 (hypot.f64 1 x) (-.f64 1 x))))
(*.f64 (+.f64 1 (-.f64 (*.f64 x x) (pow.f64 (-.f64 1 x) 2))) (/.f64 1 (+.f64 (hypot.f64 1 x) (-.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (-.f64 1 x) 2)) (+.f64 (hypot.f64 1 x) (-.f64 1 x)))
(/.f64 (fma.f64 1 (+.f64 x (+.f64 x -1)) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x)))) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) 1) (+.f64 1 (+.f64 (*.f64 x x) (*.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3)) (fma.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3)) (fma.f64 (-.f64 1 x) (+.f64 1 (-.f64 (hypot.f64 1 x) x)) (fma.f64 x x 1)))
(/.f64 1 (/.f64 (+.f64 (hypot.f64 1 x) (-.f64 1 x)) (-.f64 (+.f64 1 (*.f64 x x)) (pow.f64 (-.f64 1 x) 2))))
(*.f64 (+.f64 1 (-.f64 (*.f64 x x) (pow.f64 (-.f64 1 x) 2))) (/.f64 1 (+.f64 (hypot.f64 1 x) (-.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (-.f64 1 x) 2)) (+.f64 (hypot.f64 1 x) (-.f64 1 x)))
(/.f64 (fma.f64 1 (+.f64 x (+.f64 x -1)) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) 1) (+.f64 1 (+.f64 (*.f64 x x) (*.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3)) (fma.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3)) (fma.f64 (-.f64 1 x) (+.f64 1 (-.f64 (hypot.f64 1 x) x)) (fma.f64 x x 1)))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (pow.f64 (-.f64 1 x) 2)) (+.f64 (hypot.f64 1 x) (-.f64 1 x)))
(*.f64 (+.f64 1 (-.f64 (*.f64 x x) (pow.f64 (-.f64 1 x) 2))) (/.f64 1 (+.f64 (hypot.f64 1 x) (-.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (-.f64 1 x) 2)) (+.f64 (hypot.f64 1 x) (-.f64 1 x)))
(/.f64 (fma.f64 1 (+.f64 x (+.f64 x -1)) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3))) (neg.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) 1) (+.f64 1 (+.f64 (*.f64 x x) (*.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3)) (fma.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3)) (fma.f64 (-.f64 1 x) (+.f64 1 (-.f64 (hypot.f64 1 x) x)) (fma.f64 x x 1)))
(/.f64 (neg.f64 (-.f64 (+.f64 1 (*.f64 x x)) (pow.f64 (-.f64 1 x) 2))) (neg.f64 (+.f64 (hypot.f64 1 x) (-.f64 1 x))))
(*.f64 (+.f64 1 (-.f64 (*.f64 x x) (pow.f64 (-.f64 1 x) 2))) (/.f64 1 (+.f64 (hypot.f64 1 x) (-.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (-.f64 1 x) 2)) (+.f64 (hypot.f64 1 x) (-.f64 1 x)))
(/.f64 (fma.f64 1 (+.f64 x (+.f64 x -1)) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 (-.f64 1 x)) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 (neg.f64 (-.f64 1 x)) (neg.f64 (-.f64 1 x))) (*.f64 (hypot.f64 1 x) (neg.f64 (-.f64 1 x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) 1) (+.f64 1 (+.f64 (*.f64 x x) (*.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3)) (fma.f64 (-.f64 1 x) (+.f64 (hypot.f64 1 x) (-.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 x -1) 3)) (fma.f64 (-.f64 1 x) (+.f64 1 (-.f64 (hypot.f64 1 x) x)) (fma.f64 x x 1)))
(/.f64 (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) -1)) (-.f64 (*.f64 x x) (*.f64 (+.f64 (hypot.f64 1 x) -1) x))))
(/.f64 (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3)) (fma.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) -1) (*.f64 x (-.f64 x (+.f64 (hypot.f64 1 x) -1)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (+.f64 (hypot.f64 1 x) -1)) (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (-.f64 -1 x)))))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 (neg.f64 (-.f64 1 x)) (neg.f64 (-.f64 1 x)))) (-.f64 (hypot.f64 1 x) (neg.f64 (-.f64 1 x))))
(*.f64 (+.f64 1 (-.f64 (*.f64 x x) (pow.f64 (-.f64 1 x) 2))) (/.f64 1 (+.f64 (hypot.f64 1 x) (-.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (-.f64 1 x) 2)) (+.f64 (hypot.f64 1 x) (-.f64 1 x)))
(/.f64 (fma.f64 1 (+.f64 x (+.f64 x -1)) 1) (+.f64 1 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (-.f64 (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) -1)) (*.f64 x x)) (-.f64 (+.f64 (hypot.f64 1 x) -1) x))
(/.f64 (-.f64 (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) -1)) (*.f64 x x)) (+.f64 (hypot.f64 1 x) (-.f64 -1 x)))
(/.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) (/.f64 (+.f64 (hypot.f64 1 x) (-.f64 -1 x)) (+.f64 (hypot.f64 1 x) (-.f64 -1 x))))
(/.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) 1)
(pow.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)) 1)
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)) 3) 1/3)
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 3)
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 2)
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)) 2))
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)) 3))
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(fma.f64 1 (hypot.f64 1 x) (neg.f64 (-.f64 1 x)))
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 (-.f64 1 x)))
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 (-.f64 1 x)))
(+.f64 x (+.f64 (hypot.f64 1 x) -1))
(-.f64 (+.f64 1 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) 1)
(+.f64 1 (-.f64 (log1p.f64 (+.f64 (-.f64 (hypot.f64 1 x) 1) x)) 1))
(+.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 0)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 1 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))
(+.f64 1 (-.f64 (log1p.f64 (+.f64 (-.f64 (hypot.f64 1 x) 1) x)) 1))
(+.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 0)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 1)
(+.f64 1 (-.f64 (log1p.f64 (+.f64 (-.f64 (hypot.f64 1 x) 1) x)) 1))
(+.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 0)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) 2))
(+.f64 1 (-.f64 (log1p.f64 (+.f64 (-.f64 (hypot.f64 1 x) 1) x)) 1))
(+.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 0)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) 2) (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))))
(+.f64 1 (-.f64 (log1p.f64 (+.f64 (-.f64 (hypot.f64 1 x) 1) x)) 1))
(+.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 0)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) (sqrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))))
(+.f64 1 (-.f64 (log1p.f64 (+.f64 (-.f64 (hypot.f64 1 x) 1) x)) 1))
(+.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 0)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 1)
(+.f64 1 (-.f64 (log1p.f64 (+.f64 (-.f64 (hypot.f64 1 x) 1) x)) 1))
(+.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 0)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 3) 1/3)
(+.f64 1 (-.f64 (log1p.f64 (+.f64 (-.f64 (hypot.f64 1 x) 1) x)) 1))
(+.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 0)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) 3)
(+.f64 1 (-.f64 (log1p.f64 (+.f64 (-.f64 (hypot.f64 1 x) 1) x)) 1))
(+.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 0)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))) 2)
(+.f64 1 (-.f64 (log1p.f64 (+.f64 (-.f64 (hypot.f64 1 x) 1) x)) 1))
(+.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 0)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 2))
(+.f64 1 (-.f64 (log1p.f64 (+.f64 (-.f64 (hypot.f64 1 x) 1) x)) 1))
(+.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 0)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (-.f64 (hypot.f64 1 x) (-.f64 1 x))))
(+.f64 1 (-.f64 (log1p.f64 (+.f64 (-.f64 (hypot.f64 1 x) 1) x)) 1))
(+.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 0)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) 3))
(+.f64 1 (-.f64 (log1p.f64 (+.f64 (-.f64 (hypot.f64 1 x) 1) x)) 1))
(+.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 0)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))))
(+.f64 1 (-.f64 (log1p.f64 (+.f64 (-.f64 (hypot.f64 1 x) 1) x)) 1))
(+.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 0)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))))
(+.f64 1 (-.f64 (log1p.f64 (+.f64 (-.f64 (hypot.f64 1 x) 1) x)) 1))
(+.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 0)
(log.f64 (+.f64 x (hypot.f64 1 x)))

localize19.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.3b
(log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))
✓6.1b
(-.f64 (hypot.f64 1 x) (+.f64 1 x))
Compiler

Compiled 44 to 32 computations (27.3% saved)

series18.0ms (0.3%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))
0.0ms
x
@0
(log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))
0.0ms
x
@-inf
(log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))
0.0ms
x
@0
(-.f64 (hypot.f64 1 x) (+.f64 1 x))
0.0ms
x
@-inf
(-.f64 (hypot.f64 1 x) (+.f64 1 x))
Compiler

Compiled 1710 to 1445 computations (15.5% saved)

rewrite50.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
858×pow1_binary64
800×expm1-log1p-u_binary64
799×add-log-exp_binary64
799×log1p-expm1-u_binary64
783×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0722
115422
2215122
Stop Event
1×node limit
Counts
2 → 56
Calls
Call 1
Inputs
(-.f64 (hypot.f64 1 x) (+.f64 1 x))
(log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 x) (+.f64 (neg.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 1 x) (*.f64 (+.f64 (neg.f64 x) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)) (fma.f64 (+.f64 (neg.f64 x) -1) 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (neg.f64 x) -1) (hypot.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (hypot.f64 1 x) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (hypot.f64 1 x) -1) (*.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (hypot.f64 1 x) -1) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (hypot.f64 1 x) -1) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) (sqrt.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)) (/.f64 1 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 (+.f64 1 x) (+.f64 (hypot.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 1 (*.f64 x x)) (pow.f64 (+.f64 1 x) 2)) (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 (+.f64 1 x) (+.f64 (hypot.f64 1 x) (+.f64 1 x)))) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (hypot.f64 1 x) (+.f64 1 x)) (-.f64 (+.f64 1 (*.f64 x x)) (pow.f64 (+.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 (+.f64 1 x) (+.f64 (hypot.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1 (*.f64 x x)) (pow.f64 (+.f64 1 x) 2)) (+.f64 (hypot.f64 1 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3))) (neg.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 (+.f64 1 x) (+.f64 (hypot.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (+.f64 1 (*.f64 x x)) (pow.f64 (+.f64 1 x) 2))) (neg.f64 (+.f64 (hypot.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) -1)) (+.f64 (*.f64 x x) (*.f64 (+.f64 (hypot.f64 1 x) -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 (neg.f64 x) -1) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 (+.f64 (neg.f64 x) -1) (+.f64 (neg.f64 x) -1)) (*.f64 (hypot.f64 1 x) (+.f64 (neg.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) -1)) (*.f64 x x)) (+.f64 (+.f64 (hypot.f64 1 x) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 (+.f64 (neg.f64 x) -1) (+.f64 (neg.f64 x) -1))) (-.f64 (hypot.f64 1 x) (+.f64 (neg.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 1 x) (+.f64 (neg.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) (+.f64 (neg.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (+.f64 (neg.f64 x) -1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))) 2) (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))))))))

simplify78.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
653×fma-def_binary64
371×distribute-rgt-in_binary64
327×distribute-lft-in_binary64
305×unswap-sqr_binary64
297×associate-+l+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01441068
1413957
21675838
37750838
Stop Event
1×node limit
Counts
56 → 76
Calls
Call 1
Inputs
(+.f64 (hypot.f64 1 x) (+.f64 (neg.f64 x) -1))
(+.f64 (hypot.f64 1 x) (*.f64 (+.f64 (neg.f64 x) -1) 1))
(+.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)) (fma.f64 (+.f64 (neg.f64 x) -1) 1 (+.f64 1 x)))
(+.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (+.f64 1 x)))
(+.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)) (+.f64 1 x)))
(+.f64 (+.f64 (neg.f64 x) -1) (hypot.f64 1 x))
(+.f64 (+.f64 (hypot.f64 1 x) -1) (neg.f64 x))
(+.f64 (+.f64 (hypot.f64 1 x) -1) (*.f64 -1 x))
(+.f64 (+.f64 (hypot.f64 1 x) -1) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)))
(+.f64 (+.f64 (hypot.f64 1 x) -1) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))
(*.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)) 1)
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) (sqrt.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)) (/.f64 1 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 (+.f64 1 x) (+.f64 (hypot.f64 1 x) (+.f64 1 x))))))
(*.f64 (-.f64 (+.f64 1 (*.f64 x x)) (pow.f64 (+.f64 1 x) 2)) (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 1 x))))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 (+.f64 1 x) (+.f64 (hypot.f64 1 x) (+.f64 1 x)))) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3))))
(/.f64 1 (/.f64 (+.f64 (hypot.f64 1 x) (+.f64 1 x)) (-.f64 (+.f64 1 (*.f64 x x)) (pow.f64 (+.f64 1 x) 2))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 (+.f64 1 x) (+.f64 (hypot.f64 1 x) (+.f64 1 x)))))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (pow.f64 (+.f64 1 x) 2)) (+.f64 (hypot.f64 1 x) (+.f64 1 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3))) (neg.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 (+.f64 1 x) (+.f64 (hypot.f64 1 x) (+.f64 1 x))))))
(/.f64 (neg.f64 (-.f64 (+.f64 1 (*.f64 x x)) (pow.f64 (+.f64 1 x) 2))) (neg.f64 (+.f64 (hypot.f64 1 x) (+.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) -1)) (+.f64 (*.f64 x x) (*.f64 (+.f64 (hypot.f64 1 x) -1) x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 (neg.f64 x) -1) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 (+.f64 (neg.f64 x) -1) (+.f64 (neg.f64 x) -1)) (*.f64 (hypot.f64 1 x) (+.f64 (neg.f64 x) -1)))))
(/.f64 (-.f64 (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) -1)) (*.f64 x x)) (+.f64 (+.f64 (hypot.f64 1 x) -1) x))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 (+.f64 (neg.f64 x) -1) (+.f64 (neg.f64 x) -1))) (-.f64 (hypot.f64 1 x) (+.f64 (neg.f64 x) -1)))
(pow.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)) 1)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)) 2))
(log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))))
(exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))))
(fma.f64 1 (hypot.f64 1 x) (+.f64 (neg.f64 x) -1))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) (+.f64 (neg.f64 x) -1))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (+.f64 (neg.f64 x) -1))
(-.f64 (+.f64 1 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))) 1)
(*.f64 1 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))))
(*.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))) 2) (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))))
(*.f64 (sqrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))))
(pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) 1)
(pow.f64 (pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))) 3)
(pow.f64 (sqrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) 2))
(log.f64 (+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 1 x))))
(cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))))
(exp.f64 (log.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))))
Outputs
(+.f64 (hypot.f64 1 x) (+.f64 (neg.f64 x) -1))
(-.f64 (+.f64 (hypot.f64 1 x) -1) x)
(+.f64 (hypot.f64 1 x) (-.f64 -1 x))
(+.f64 (hypot.f64 1 x) (*.f64 (+.f64 (neg.f64 x) -1) 1))
(-.f64 (+.f64 (hypot.f64 1 x) -1) x)
(+.f64 (hypot.f64 1 x) (-.f64 -1 x))
(+.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)) (fma.f64 (+.f64 (neg.f64 x) -1) 1 (+.f64 1 x)))
(+.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)) (+.f64 (+.f64 (neg.f64 x) -1) (+.f64 1 x)))
(+.f64 (hypot.f64 1 x) (+.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (+.f64 1 x))))
(+.f64 (hypot.f64 1 x) (+.f64 (-.f64 -1 x) (-.f64 x x)))
(+.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (+.f64 1 x)))
(+.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)) (+.f64 (+.f64 (neg.f64 x) -1) (+.f64 1 x)))
(+.f64 (hypot.f64 1 x) (+.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (+.f64 1 x))))
(+.f64 (hypot.f64 1 x) (+.f64 (-.f64 -1 x) (-.f64 x x)))
(+.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)) (+.f64 1 x)))
(+.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)) (+.f64 (+.f64 (neg.f64 x) -1) (+.f64 1 x)))
(+.f64 (hypot.f64 1 x) (+.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (+.f64 1 x))))
(+.f64 (hypot.f64 1 x) (+.f64 (-.f64 -1 x) (-.f64 x x)))
(+.f64 (+.f64 (neg.f64 x) -1) (hypot.f64 1 x))
(-.f64 (+.f64 (hypot.f64 1 x) -1) x)
(+.f64 (hypot.f64 1 x) (-.f64 -1 x))
(+.f64 (+.f64 (hypot.f64 1 x) -1) (neg.f64 x))
(-.f64 (+.f64 (hypot.f64 1 x) -1) x)
(+.f64 (hypot.f64 1 x) (-.f64 -1 x))
(+.f64 (+.f64 (hypot.f64 1 x) -1) (*.f64 -1 x))
(-.f64 (+.f64 (hypot.f64 1 x) -1) x)
(+.f64 (hypot.f64 1 x) (-.f64 -1 x))
(+.f64 (+.f64 (hypot.f64 1 x) -1) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)))
(-.f64 (+.f64 (hypot.f64 1 x) -1) x)
(+.f64 (hypot.f64 1 x) (-.f64 -1 x))
(+.f64 (+.f64 (hypot.f64 1 x) -1) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(-.f64 (+.f64 (hypot.f64 1 x) -1) x)
(+.f64 (hypot.f64 1 x) (-.f64 -1 x))
(*.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))
(-.f64 (+.f64 (hypot.f64 1 x) -1) x)
(+.f64 (hypot.f64 1 x) (-.f64 -1 x))
(*.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)) 1)
(-.f64 (+.f64 (hypot.f64 1 x) -1) x)
(+.f64 (hypot.f64 1 x) (-.f64 -1 x))
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) 2))
(-.f64 (+.f64 (hypot.f64 1 x) -1) x)
(+.f64 (hypot.f64 1 x) (-.f64 -1 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))))
(-.f64 (+.f64 (hypot.f64 1 x) -1) x)
(+.f64 (hypot.f64 1 x) (-.f64 -1 x))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) (sqrt.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))))
(-.f64 (+.f64 (hypot.f64 1 x) -1) x)
(+.f64 (hypot.f64 1 x) (-.f64 -1 x))
(*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)) (/.f64 1 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 (+.f64 1 x) (+.f64 (hypot.f64 1 x) (+.f64 1 x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)) 1) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 (+.f64 1 x) (+.f64 (hypot.f64 1 x) (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)) (fma.f64 (+.f64 1 x) (+.f64 x (+.f64 1 (hypot.f64 1 x))) (fma.f64 x x 1)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 x -1) 3)) (fma.f64 x x (fma.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (hypot.f64 1 x)) 1)))
(*.f64 (-.f64 (+.f64 1 (*.f64 x x)) (pow.f64 (+.f64 1 x) 2)) (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 1 x))))
(*.f64 (+.f64 1 (-.f64 (*.f64 x x) (pow.f64 (+.f64 1 x) 2))) (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 1 x) 2)) (+.f64 x (+.f64 1 (hypot.f64 1 x))))
(/.f64 (-.f64 (*.f64 x (+.f64 x (-.f64 -1 x))) x) (+.f64 (hypot.f64 1 x) (-.f64 x -1)))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(-.f64 (+.f64 (hypot.f64 1 x) -1) x)
(+.f64 (hypot.f64 1 x) (-.f64 -1 x))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 (+.f64 1 x) (+.f64 (hypot.f64 1 x) (+.f64 1 x)))) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)) 1) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 (+.f64 1 x) (+.f64 (hypot.f64 1 x) (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)) (fma.f64 (+.f64 1 x) (+.f64 x (+.f64 1 (hypot.f64 1 x))) (fma.f64 x x 1)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 x -1) 3)) (fma.f64 x x (fma.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (hypot.f64 1 x)) 1)))
(/.f64 1 (/.f64 (+.f64 (hypot.f64 1 x) (+.f64 1 x)) (-.f64 (+.f64 1 (*.f64 x x)) (pow.f64 (+.f64 1 x) 2))))
(*.f64 (+.f64 1 (-.f64 (*.f64 x x) (pow.f64 (+.f64 1 x) 2))) (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 1 x) 2)) (+.f64 x (+.f64 1 (hypot.f64 1 x))))
(/.f64 (-.f64 (*.f64 x (+.f64 x (-.f64 -1 x))) x) (+.f64 (hypot.f64 1 x) (-.f64 x -1)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 (+.f64 1 x) (+.f64 (hypot.f64 1 x) (+.f64 1 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)) 1) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 (+.f64 1 x) (+.f64 (hypot.f64 1 x) (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)) (fma.f64 (+.f64 1 x) (+.f64 x (+.f64 1 (hypot.f64 1 x))) (fma.f64 x x 1)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 x -1) 3)) (fma.f64 x x (fma.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (hypot.f64 1 x)) 1)))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (pow.f64 (+.f64 1 x) 2)) (+.f64 (hypot.f64 1 x) (+.f64 1 x)))
(*.f64 (+.f64 1 (-.f64 (*.f64 x x) (pow.f64 (+.f64 1 x) 2))) (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 1 x) 2)) (+.f64 x (+.f64 1 (hypot.f64 1 x))))
(/.f64 (-.f64 (*.f64 x (+.f64 x (-.f64 -1 x))) x) (+.f64 (hypot.f64 1 x) (-.f64 x -1)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3))) (neg.f64 (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 (+.f64 1 x) (+.f64 (hypot.f64 1 x) (+.f64 1 x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)) 1) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 (+.f64 1 x) (+.f64 (hypot.f64 1 x) (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)) (fma.f64 (+.f64 1 x) (+.f64 x (+.f64 1 (hypot.f64 1 x))) (fma.f64 x x 1)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 x -1) 3)) (fma.f64 x x (fma.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (hypot.f64 1 x)) 1)))
(/.f64 (neg.f64 (-.f64 (+.f64 1 (*.f64 x x)) (pow.f64 (+.f64 1 x) 2))) (neg.f64 (+.f64 (hypot.f64 1 x) (+.f64 1 x))))
(*.f64 (+.f64 1 (-.f64 (*.f64 x x) (pow.f64 (+.f64 1 x) 2))) (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 1 x) 2)) (+.f64 x (+.f64 1 (hypot.f64 1 x))))
(/.f64 (-.f64 (*.f64 x (+.f64 x (-.f64 -1 x))) x) (+.f64 (hypot.f64 1 x) (-.f64 x -1)))
(/.f64 (-.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) -1)) (+.f64 (*.f64 x x) (*.f64 (+.f64 (hypot.f64 1 x) -1) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3)) (fma.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) -1) (*.f64 x (+.f64 (hypot.f64 1 x) (+.f64 -1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 (hypot.f64 1 x) (+.f64 x -1)) (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) -1))))
(/.f64 (-.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) (+.f64 x -1)))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 (neg.f64 x) -1) 3)) (+.f64 (+.f64 1 (*.f64 x x)) (-.f64 (*.f64 (+.f64 (neg.f64 x) -1) (+.f64 (neg.f64 x) -1)) (*.f64 (hypot.f64 1 x) (+.f64 (neg.f64 x) -1)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)) 1) (+.f64 (+.f64 1 (*.f64 x x)) (*.f64 (+.f64 1 x) (+.f64 (hypot.f64 1 x) (+.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)) (fma.f64 (+.f64 1 x) (+.f64 x (+.f64 1 (hypot.f64 1 x))) (fma.f64 x x 1)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (-.f64 x -1) 3)) (fma.f64 x x (fma.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (hypot.f64 1 x)) 1)))
(/.f64 (-.f64 (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) -1)) (*.f64 x x)) (+.f64 (+.f64 (hypot.f64 1 x) -1) x))
(/.f64 (-.f64 (*.f64 (+.f64 (hypot.f64 1 x) -1) (+.f64 (hypot.f64 1 x) -1)) (*.f64 x x)) (+.f64 (hypot.f64 1 x) (+.f64 -1 x)))
(/.f64 (*.f64 (+.f64 (hypot.f64 1 x) (-.f64 -1 x)) (+.f64 (hypot.f64 1 x) (+.f64 x -1))) (+.f64 (hypot.f64 1 x) (+.f64 x -1)))
(*.f64 (/.f64 (+.f64 (hypot.f64 1 x) (+.f64 x -1)) (+.f64 (hypot.f64 1 x) (+.f64 x -1))) (+.f64 (hypot.f64 1 x) (-.f64 -1 x)))
(/.f64 (-.f64 (+.f64 1 (*.f64 x x)) (*.f64 (+.f64 (neg.f64 x) -1) (+.f64 (neg.f64 x) -1))) (-.f64 (hypot.f64 1 x) (+.f64 (neg.f64 x) -1)))
(*.f64 (+.f64 1 (-.f64 (*.f64 x x) (pow.f64 (+.f64 1 x) 2))) (/.f64 1 (+.f64 (hypot.f64 1 x) (+.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 (+.f64 1 x) 2)) (+.f64 x (+.f64 1 (hypot.f64 1 x))))
(/.f64 (-.f64 (*.f64 x (+.f64 x (-.f64 -1 x))) x) (+.f64 (hypot.f64 1 x) (-.f64 x -1)))
(pow.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)) 1)
(-.f64 (+.f64 (hypot.f64 1 x) -1) x)
(+.f64 (hypot.f64 1 x) (-.f64 -1 x))
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)) 3) 1/3)
(-.f64 (+.f64 (hypot.f64 1 x) -1) x)
(+.f64 (hypot.f64 1 x) (-.f64 -1 x))
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) 3)
(-.f64 (+.f64 (hypot.f64 1 x) -1) x)
(+.f64 (hypot.f64 1 x) (-.f64 -1 x))
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) 2)
(-.f64 (+.f64 (hypot.f64 1 x) -1) x)
(+.f64 (hypot.f64 1 x) (-.f64 -1 x))
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)) 2))
(-.f64 (+.f64 (hypot.f64 1 x) -1) x)
(+.f64 (hypot.f64 1 x) (-.f64 -1 x))
(log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))))
(-.f64 (+.f64 (hypot.f64 1 x) -1) x)
(+.f64 (hypot.f64 1 x) (-.f64 -1 x))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)) 3))
(-.f64 (+.f64 (hypot.f64 1 x) -1) x)
(+.f64 (hypot.f64 1 x) (-.f64 -1 x))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))))
(-.f64 (+.f64 (hypot.f64 1 x) -1) x)
(+.f64 (hypot.f64 1 x) (-.f64 -1 x))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))))
(-.f64 (+.f64 (hypot.f64 1 x) -1) x)
(+.f64 (hypot.f64 1 x) (-.f64 -1 x))
(exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))))
(-.f64 (+.f64 (hypot.f64 1 x) -1) x)
(+.f64 (hypot.f64 1 x) (-.f64 -1 x))
(fma.f64 1 (hypot.f64 1 x) (+.f64 (neg.f64 x) -1))
(-.f64 (+.f64 (hypot.f64 1 x) -1) x)
(+.f64 (hypot.f64 1 x) (-.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) (+.f64 (neg.f64 x) -1))
(-.f64 (+.f64 (hypot.f64 1 x) -1) x)
(+.f64 (hypot.f64 1 x) (-.f64 -1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (+.f64 (neg.f64 x) -1))
(-.f64 (+.f64 (hypot.f64 1 x) -1) x)
(+.f64 (hypot.f64 1 x) (-.f64 -1 x))
(-.f64 (+.f64 1 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))) 1)
(+.f64 1 (-.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) 1))
(+.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (-.f64 -1 x))) 0)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 1 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))))
(+.f64 1 (-.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) 1))
(+.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (-.f64 -1 x))) 0)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) 1)
(+.f64 1 (-.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) 1))
(+.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (-.f64 -1 x))) 0)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))) 2))
(+.f64 1 (-.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) 1))
(+.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (-.f64 -1 x))) 0)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))) 2) (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))))
(+.f64 1 (-.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) 1))
(+.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (-.f64 -1 x))) 0)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (sqrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))))
(+.f64 1 (-.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) 1))
(+.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (-.f64 -1 x))) 0)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) 1)
(+.f64 1 (-.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) 1))
(+.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (-.f64 -1 x))) 0)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) 3) 1/3)
(+.f64 1 (-.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) 1))
(+.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (-.f64 -1 x))) 0)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))) 3)
(+.f64 1 (-.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) 1))
(+.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (-.f64 -1 x))) 0)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (sqrt.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))) 2)
(+.f64 1 (-.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) 1))
(+.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (-.f64 -1 x))) 0)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(sqrt.f64 (pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) 2))
(+.f64 1 (-.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) 1))
(+.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (-.f64 -1 x))) 0)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(log.f64 (+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 1 x))))
(+.f64 1 (-.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) 1))
(+.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (-.f64 -1 x))) 0)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) 3))
(+.f64 1 (-.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) 1))
(+.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (-.f64 -1 x))) 0)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(expm1.f64 (log1p.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))))
(+.f64 1 (-.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) 1))
(+.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (-.f64 -1 x))) 0)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(exp.f64 (log.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))))
(+.f64 1 (-.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x))) 1))
(+.f64 (log1p.f64 (+.f64 (hypot.f64 1 x) (-.f64 -1 x))) 0)
(log.f64 (-.f64 (hypot.f64 1 x) x))

localize25.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.5b
(-.f64 (hypot.f64 1 x) x)
✓4.0b
(-.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
4.0b
(log.f64 (-.f64 (hypot.f64 1 x) x))
Compiler

Compiled 59 to 44 computations (25.4% saved)

series36.0ms (0.7%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
0.0ms
x
@inf
(-.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
0.0ms
x
@-inf
(-.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
Compiler

Compiled 1050 to 900 computations (14.3% saved)

rewrite54.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
970×pow1_binary64
906×add-log-exp_binary64
906×log1p-expm1-u_binary64
906×expm1-log1p-u_binary64
98×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0815
11849
226959
Stop Event
1×node limit
Counts
1 → 41
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) -1) (/.f64 1 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) -1) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) -1) (-.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) -1)) (neg.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1)) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1))) (-.f64 1 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (-.f64 (hypot.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (-.f64 (hypot.f64 1 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) -1)))))

simplify34.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
671×fma-def_binary64
509×associate-*l*_binary64
465×distribute-rgt-in_binary64
462×associate-*r*_binary64
422×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
099828
1241771
2977763
Stop Event
1×node limit
Counts
41 → 55
Calls
Call 1
Inputs
(+.f64 1 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(+.f64 1 (*.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1) 1))
(+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 0)
(+.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) -1)
(+.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 -1 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) -1) (/.f64 1 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) -1) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) -1) (-.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) -1)) (neg.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1)) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1))) (-.f64 1 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1)))
(pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(log.f64 (+.f64 1 (-.f64 (-.f64 (hypot.f64 1 x) x) 1)))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))
(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(fma.f64 1 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) -1)
Outputs
(+.f64 1 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(+.f64 1 (*.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1) 1))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 0)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(+.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) -1)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(+.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(+.f64 -1 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(+.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1) 1)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 3 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)) (+.f64 2 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) -1) (/.f64 1 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (/.f64 1 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)) (+.f64 2 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))))
(/.f64 1 (/.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (/.f64 1 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)) (+.f64 2 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)) (+.f64 2 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) -1) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (/.f64 1 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) -1) (-.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) -1))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (/.f64 1 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)) (+.f64 2 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) (+.f64 2 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) -1)) (neg.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (/.f64 1 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1)) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1) 3)) (+.f64 1 (fma.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1) (neg.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1) 3)) (+.f64 1 (*.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1) (-.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1) 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1) 3)) (fma.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -2) 1))
(/.f64 (-.f64 1 (*.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1))) (-.f64 1 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1)))
(/.f64 (+.f64 1 (*.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1) (-.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (-.f64 2 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (-.f64 0 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -2))) (-.f64 2 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(log.f64 (+.f64 1 (-.f64 (-.f64 (hypot.f64 1 x) x) 1)))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(fma.f64 1 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) -1)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (cbrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) -1)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))) -1)
(log.f64 (-.f64 (hypot.f64 1 x) x))

eval258.0ms (4.8%)

Compiler

Compiled 11178 to 8020 computations (28.3% saved)

prune114.0ms (2.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New5321533
Fresh000
Picked011
Done066
Total5328540
Error
0b
Counts
540 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
23.4b
(copysign.f64 (-.f64 (log1p.f64 (pow.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x) 3)) (log1p.f64 (*.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x) (+.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x) -1)))) x)
✓47.0b
(copysign.f64 (neg.f64 (-.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)) x)
✓46.4b
(copysign.f64 (neg.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))) x)
✓47.0b
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
✓43.5b
(copysign.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) x)
✓20.9b
(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x))))) x)
✓13.5b
(copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x)
✓43.9b
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
Compiler

Compiled 123 to 87 computations (29.3% saved)

regimes43.0ms (0.8%)

Counts
22 → 2
Calls
Call 1
Inputs
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x)
(copysign.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x))) x)
(copysign.f64 (neg.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))) x)
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
(copysign.f64 (neg.f64 (-.f64 (+.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)) x)
(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
(copysign.f64 (exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) x)
(copysign.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) x)
(copysign.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3) x)
(copysign.f64 (exp.f64 (log.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))) x)
(copysign.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) x)
(copysign.f64 (+.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))) (log.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))) x)
(copysign.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) x)
(copysign.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log1p.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (fma.f64 x x -1)))) x)
(copysign.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))) 2)) x)
(copysign.f64 (-.f64 (log1p.f64 (pow.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x) 3)) (log1p.f64 (*.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x) (+.f64 (fma.f64 x (/.f64 x (+.f64 1 (hypot.f64 1 x))) x) -1)))) x)
(copysign.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (-.f64 (log.f64 (+.f64 (pow.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) 3) (pow.f64 x 6))) (log.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x (neg.f64 x)))))))) x)
Outputs
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x)
Calls

2 calls:

21.0ms
x
9.0ms
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
Results
ErrorSegmentsBranch
0.5b2x
0.5b2(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
Compiler

Compiled 397 to 279 computations (29.7% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.7957219917242179
-1.7173461543535865e-6
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes9.0ms (0.2%)

Accuracy

Total -29.9b remaining (-98%)

Threshold costs -29.9b (-98%)

Counts
3 → 2
Calls
Call 1
Inputs
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
Outputs
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
Calls

1 calls:

6.0ms
x
Results
ErrorSegmentsBranch
30.5b2x
Compiler

Compiled 30 to 20 computations (33.3% saved)

bsearch17.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
16.0ms
-0.8823925337506892
-1.7173461544230855e-6
Results
15.0ms128×body256valid
Compiler

Compiled 185 to 132 computations (28.6% saved)

simplify13.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02997
14297
24897
35197
45297
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) -1/2) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x))
(if (<=.f64 x -3458764513820541/288230376151711744) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x))
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
Outputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) -1/2) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) -1/2) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (copysign.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) x))
(if (<=.f64 x -3458764513820541/288230376151711744) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x))
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
Compiler

Compiled 66 to 46 computations (30.3% saved)

soundness241.0ms (4.5%)

Algorithm
3×egg-herbie
Rules
754×fma-neg_binary64
718×fma-def_binary64
560×associate-/l*_binary64
550×unswap-sqr_binary64
546×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01721132
1372987
21392790
36984790
01921326
15101117
219821045
095631
1201520
2697510
34598510
Stop Event
1×node limit
1×node limit
1×node limit
Compiler

Compiled 395 to 258 computations (34.7% saved)

end44.0ms (0.8%)

Compiler

Compiled 64 to 44 computations (31.3% saved)

Profiling

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