Details

Time bar (total: 3.0s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
100%50%0%50%0%0%0%1
Compiler

Compiled 17 to 13 computations (23.5% saved)

sample2.0s (66.2%)

Results
1.2s4171×body1024valid
434.0ms2065×body512valid
191.0ms1578×body256valid
160.0ms442×body2048valid
Bogosity

preprocess39.0ms (1.3%)

Algorithm
2×egg-herbie
Rules
45×fma-def_binary64
32×fma-neg_binary64
20×sub-neg_binary64
15×cancel-sign-sub-inv_binary64
11×associate--r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
11514
22214
33514
45114
57814
612414
717014
822014
925614
1028214
1128414
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Outputs
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify12.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
45×fma-def_binary64
32×fma-neg_binary64
20×sub-neg_binary64
15×cancel-sign-sub-inv_binary64
11×associate--r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
11514
22214
33514
45114
57814
612414
717014
822014
925614
1028214
1128414
Stop Event
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Outputs
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))

eval0.0ms (0%)

Compiler

Compiled 10 to 8 computations (20% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
59.2b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶59.2b
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 10 to 8 computations (20% saved)

localize11.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (+.f64 1 x))
✓0.0b
(sqrt.f64 (-.f64 1 x))
✓6.1b
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 26 to 19 computations (26.9% saved)

series11.0ms (0.4%)

Counts
3 → 12
Calls

9 calls:

TimeVariablePointExpression
6.0ms
x
@inf
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
2.0ms
x
@-inf
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
1.0ms
x
@0
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
0.0ms
x
@inf
(sqrt.f64 (-.f64 1 x))
0.0ms
x
@-inf
(sqrt.f64 (-.f64 1 x))

rewrite54.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
982×pow1_binary64
918×log1p-expm1-u_binary64
918×expm1-log1p-u_binary64
917×add-log-exp_binary64
90×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0826
117726
2251726
Stop Event
1×node limit
Counts
3 → 83
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(sqrt.f64 (-.f64 1 x))
(sqrt.f64 (+.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (+.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))) (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (neg.f64 (+.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 x x)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 3)) (+.f64 (+.f64 1 x) (-.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1 x) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (-.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (neg.f64 (sqrt.f64 (-.f64 1 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1/2))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (fma.f64 x x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) 1/2))))))

simplify46.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
454×fma-neg_binary64
415×cancel-sign-sub-inv_binary64
341×distribute-rgt-in_binary64
320×distribute-lft-in_binary64
275×unswap-sqr_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02221340
15061263
219731236
Stop Event
1×node limit
Counts
95 → 143
Calls
Call 1
Inputs
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 33/1024 (pow.f64 x 7)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
1
(+.f64 (*.f64 -1/2 x) 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) 1)))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (+.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(*.f64 (+.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(/.f64 1 (/.f64 (+.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))) (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (neg.f64 (+.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 3)) (+.f64 (+.f64 1 x) (-.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))))))
(/.f64 (-.f64 (+.f64 1 x) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (-.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 3)
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x)))) 1)
(*.f64 1 (sqrt.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 1/2))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (+.f64 1 x)))
(pow.f64 (-.f64 1 x) 1/2)
(pow.f64 (sqrt.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 x) 1/4) 2)
(pow.f64 (pow.f64 (-.f64 1 x) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (-.f64 1 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1/2))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1 x)))
(*.f64 (sqrt.f64 (+.f64 1 x)) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (fma.f64 x x (neg.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (+.f64 1 x) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2)
(pow.f64 (pow.f64 (+.f64 1 x) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (+.f64 1 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(hypot.f64 1 (sqrt.f64 x))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
Outputs
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(fma.f64 1/8 (pow.f64 x 3) x)
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 33/1024 (pow.f64 x 7)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 33/1024 (pow.f64 x 7) (fma.f64 1/8 (pow.f64 x 3) x)))
1
(+.f64 (*.f64 -1/2 x) 1)
(fma.f64 -1/2 x 1)
(fma.f64 x -1/2 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 -1/2 x 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 x -1/2 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) 1)))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 -1/2 x (fma.f64 -1/16 (pow.f64 x 3) 1)))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 x -1/2 (fma.f64 (pow.f64 x 3) -1/16 1)))
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(fma.f64 x 1/2 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x 1) (*.f64 (pow.f64 x 3) 1/16)))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 x 1/2 (fma.f64 (pow.f64 x 3) 1/16 1)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 1 (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x)))) (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 0 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (cbrt.f64 (-.f64 1 x))))))
(+.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 (-.f64 1 x) 1/4)) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(*.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (+.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (-.f64 (+.f64 x 2) x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(*.f64 (+.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (+.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)) (-.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4)))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(/.f64 1 (/.f64 (+.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))) (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))))
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (-.f64 (+.f64 x 2) x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x)))
(*.f64 (+.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (-.f64 (+.f64 x 2) x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (+.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (neg.f64 (+.f64 (+.f64 (+.f64 1 x) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 (-.f64 1 x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (-.f64 (+.f64 x 2) x) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (+.f64 x (-.f64 2 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (+.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 3)) (+.f64 (+.f64 1 x) (-.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) 3)) (+.f64 1 (+.f64 x (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (-.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (sqrt.f64 (-.f64 1 x)) 3)) (+.f64 (-.f64 (+.f64 x 2) x) (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (+.f64 x (-.f64 2 x)) (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (+.f64 1 x) (*.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (-.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x)))))
(/.f64 (+.f64 1 (-.f64 x (*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))) (-.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 (-.f64 1 x)))))
(/.f64 (+.f64 1 (-.f64 x (-.f64 1 x))) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (+.f64 x (+.f64 0 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1)
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3) 1/3)
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 3)
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) 2)
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 2))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 3))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 1 (sqrt.f64 (+.f64 1 x)) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(-.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x)))) 1)
(sqrt.f64 (-.f64 1 x))
(*.f64 1 (sqrt.f64 (-.f64 1 x)))
(sqrt.f64 (-.f64 1 x))
(*.f64 (sqrt.f64 (-.f64 1 x)) 1)
(sqrt.f64 (-.f64 1 x))
(*.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4))
(sqrt.f64 (-.f64 1 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 x))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 x))) (sqrt.f64 (cbrt.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (cbrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1 x)))
(sqrt.f64 (-.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 1 x))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 1 x))) (sqrt.f64 (cbrt.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (cbrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (+.f64 x 1)))
(pow.f64 (-.f64 1 x) 1/2)
(sqrt.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (-.f64 1 x)) 1)
(sqrt.f64 (-.f64 1 x))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 x))) 3)
(sqrt.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (-.f64 1 x) 1/4) 2)
(sqrt.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (-.f64 1 x) 3/2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 1 x) 3/2))
(fabs.f64 (sqrt.f64 (-.f64 1 x)))
(sqrt.f64 (-.f64 1 x))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 x))))
(sqrt.f64 (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 1 x)))))
(sqrt.f64 (-.f64 1 x))
(cbrt.f64 (pow.f64 (-.f64 1 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 1 x))))
(sqrt.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 1 x))))
(sqrt.f64 (-.f64 1 x))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1/2))
(pow.f64 (exp.f64 (log1p.f64 (neg.f64 x))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (neg.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1)
(sqrt.f64 (+.f64 x 1))
(*.f64 1 (sqrt.f64 (+.f64 1 x)))
(sqrt.f64 (+.f64 x 1))
(*.f64 (sqrt.f64 (+.f64 1 x)) 1)
(sqrt.f64 (+.f64 x 1))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) 1/4))
(sqrt.f64 (+.f64 x 1))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1 x)))
(sqrt.f64 (+.f64 x 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (fma.f64 x x (neg.f64 x)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1)) (sqrt.f64 (+.f64 1 (fma.f64 x x (neg.f64 x)))))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (hypot.f64 x (sqrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (+.f64 1 x) 1/2)
(sqrt.f64 (+.f64 x 1))
(pow.f64 (sqrt.f64 (+.f64 1 x)) 1)
(sqrt.f64 (+.f64 x 1))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) 3)
(sqrt.f64 (+.f64 x 1))
(pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2)
(sqrt.f64 (+.f64 x 1))
(pow.f64 (pow.f64 (+.f64 1 x) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(fabs.f64 (sqrt.f64 (+.f64 1 x)))
(sqrt.f64 (+.f64 x 1))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (+.f64 x 1))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 x)))))
(sqrt.f64 (+.f64 x 1))
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(hypot.f64 1 (sqrt.f64 x))
(sqrt.f64 (+.f64 x 1))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (+.f64 x 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 x))))
(sqrt.f64 (+.f64 x 1))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 x)))

eval45.0ms (1.5%)

Compiler

Compiled 2173 to 1702 computations (21.7% saved)

prune17.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1403143
Fresh000
Picked011
Done000
Total1404144
Error
0b
Counts
144 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
✓59.2b
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
▶0.2b
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
0.4b
x
Compiler

Compiled 34 to 25 computations (26.5% saved)

localize7.0ms (0.2%)

Compiler

Compiled 19 to 14 computations (26.3% saved)

localize17.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiled 42 to 28 computations (33.3% saved)

series5.0ms (0.2%)

Counts
3 → 12
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
1.0ms
x
@-inf
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
0.0ms
x
@-inf
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
0.0ms
x
@inf
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
0.0ms
x
@0
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))

rewrite159.0ms (5.4%)

Algorithm
3×egg-rewrite
1×egg-rewrite-iter-limit
1×batch-egg-rewrite
Rules
987×pow1_binary64
924×log1p-expm1-u_binary64
924×expm1-log1p-u_binary64
922×add-log-exp_binary64
626×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01018
123318
2372118
056
11036
212586
01020
123320
2371320
01020
0814
118014
2258214
Stop Event
1×node limit
1×iter limit
1×node limit
1×node limit
1×node limit
Counts
3 → 67
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 x 1))
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) 1/2))))))
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))) (cbrt.f64 (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (sqrt.f64 (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x 1) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (-.f64 1 x) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 x 1) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 (+.f64 x 1) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (+.f64 (+.f64 x 1) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (-.f64 1 x) (-.f64 (+.f64 x 1) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (neg.f64 (-.f64 (+.f64 (+.f64 x 1) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 x x)) (neg.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 1 x) (+.f64 x 1)) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (+.f64 x 1)))))))

simplify59.0ms (2%)

Algorithm
1×egg-herbie
Rules
557×associate-/l*_binary64
523×fma-def_binary64
334×fma-neg_binary64
283×associate-/r*_binary64
213×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01951391
14391259
216131181
377501181
Stop Event
1×node limit
Counts
79 → 127
Calls
Call 1
Inputs
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 33/1024 (pow.f64 x 7)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (*.f64 -5/64 (pow.f64 x 4)) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (*.f64 -5/64 (pow.f64 x 4)) (+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -21/512 (pow.f64 x 6)))))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 1/2))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(pow.f64 (+.f64 x 1) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3)
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(hypot.f64 1 (sqrt.f64 x))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(*.f64 (+.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 1 (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))) (cbrt.f64 (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (sqrt.f64 (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(pow.f64 (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 1)
(log.f64 (exp.f64 (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(exp.f64 (log.f64 (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 1)
(-.f64 (/.f64 (+.f64 x 1) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (-.f64 1 x) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 x 1) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(*.f64 (+.f64 x x) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (+.f64 x 1) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))) (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))))
(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) (+.f64 x x)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 (+.f64 (+.f64 x 1) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 (-.f64 1 x) (-.f64 (+.f64 x 1) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(/.f64 (+.f64 x x) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (neg.f64 (-.f64 (+.f64 (+.f64 x 1) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (-.f64 1 x) (+.f64 x 1)) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 3)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 1 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (+.f64 x 1)))
Outputs
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x 1) (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) 1)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/16 (pow.f64 x 3) 1)))
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(fma.f64 1/8 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) 1/8 x)
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) 1/8 x))
(fma.f64 (pow.f64 x 3) 1/8 (fma.f64 7/128 (pow.f64 x 5) x))
(+.f64 (*.f64 7/128 (pow.f64 x 5)) (+.f64 (*.f64 33/1024 (pow.f64 x 7)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 33/1024 (pow.f64 x 7) (fma.f64 1/8 (pow.f64 x 3) x)))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 33/1024 (pow.f64 x 7) (fma.f64 (pow.f64 x 3) 1/8 x)))
(fma.f64 7/128 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) 1/8 (fma.f64 33/1024 (pow.f64 x 7) x)))
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 2 (*.f64 (*.f64 x x) -1/4))
(fma.f64 (*.f64 x x) -1/4 2)
(+.f64 (*.f64 -5/64 (pow.f64 x 4)) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))))
(fma.f64 -5/64 (pow.f64 x 4) (+.f64 2 (*.f64 (*.f64 x x) -1/4)))
(fma.f64 -5/64 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/4 2))
(fma.f64 x (*.f64 x -1/4) (fma.f64 -5/64 (pow.f64 x 4) 2))
(+.f64 (*.f64 -5/64 (pow.f64 x 4)) (+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -21/512 (pow.f64 x 6)))))
(fma.f64 -5/64 (pow.f64 x 4) (+.f64 2 (fma.f64 -1/4 (*.f64 x x) (*.f64 -21/512 (pow.f64 x 6)))))
(+.f64 (fma.f64 -5/64 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/4 2)) (*.f64 -21/512 (pow.f64 x 6)))
(fma.f64 -5/64 (pow.f64 x 4) (fma.f64 x (*.f64 x -1/4) (fma.f64 -21/512 (pow.f64 x 6) 2)))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
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(sqrt.f64 (+.f64 1 x))
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
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(sqrt.f64 (+.f64 1 x))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
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(sqrt.f64 (+.f64 1 x))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)))
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(sqrt.f64 (+.f64 1 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
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(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x 1)))
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(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
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(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
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(sqrt.f64 (+.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
(hypot.f64 1 (sqrt.f64 x))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(+.f64 (sqrt.f64 (+.f64 1 x)) 0)
(sqrt.f64 (+.f64 1 x))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 x)))
(*.f64 (+.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (+.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 x (/.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 1 (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (+.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 x (/.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (cbrt.f64 (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))) (cbrt.f64 (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 (+.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 x (/.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (sqrt.f64 (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 (+.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 x (/.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(pow.f64 (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 1)
(*.f64 (+.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 x (/.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(log.f64 (exp.f64 (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 (+.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 x (/.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 (+.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 x (/.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 (+.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 x (/.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 (+.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 x (/.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(exp.f64 (log.f64 (/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(*.f64 (+.f64 x x) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 2 (/.f64 x (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 x (/.f64 2 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))) 1)
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(-.f64 (/.f64 (+.f64 x 1) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (-.f64 1 x) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(-.f64 (/.f64 (+.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (-.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (/.f64 (+.f64 1 x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))) (/.f64 (+.f64 x -1) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
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(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 (-.f64 1 x) 3/2))) (neg.f64 (-.f64 (+.f64 (+.f64 x 1) (-.f64 1 x)) (sqrt.f64 (*.f64 (+.f64 x 1) (-.f64 1 x))))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (/.f64 1 (+.f64 (-.f64 1 x) (-.f64 (+.f64 1 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (+.f64 x (-.f64 (-.f64 2 x) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3/2) (pow.f64 (-.f64 1 x) 3/2)) (-.f64 2 (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 1 x)))))
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (*.f64 (+.f64 x x) 1) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (+.f64 x x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 2 (/.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (-.f64 1 x) (+.f64 x 1)) (-.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 (+.f64 x x) 1) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (+.f64 x x) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 2 (/.f64 x (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 1)
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3) 1/3)
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 3)
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))) 2)
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 2))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))) 3))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 1 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) (sqrt.f64 (-.f64 1 x)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (-.f64 1 x) 1/4) (sqrt.f64 (+.f64 x 1)))
(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))

eval56.0ms (1.9%)

Compiler

Compiled 2988 to 1999 computations (33.1% saved)

prune21.0ms (0.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1651166
Fresh011
Picked011
Done022
Total1655170
Error
0b
Counts
170 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
▶0.2b
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 (*.f64 x x) -1/4)))
✓59.2b
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
✓0.2b
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
0.4b
x
Compiler

Compiled 46 to 33 computations (28.3% saved)

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 33 to 16 computations (51.5% saved)

series2.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

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

rewrite47.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
501×prod-diff_binary64
450×log-prod_binary64
248×pow-prod-down_binary64
243×pow2_binary64
224×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0916
120614
2302314
Stop Event
1×node limit
Counts
1 → 50
Calls
Call 1
Inputs
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 (*.f64 x x) -1/4)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1 (fma.f64 x (*.f64 x -1/4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1 (neg.f64 (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x (/.f64 1 (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (cbrt.f64 (*.f64 (+.f64 x x) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 x x) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) -2))) (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))) (sqrt.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/4) 2)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) -2) (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) -1/2) (sqrt.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x x) (fma.f64 (pow.f64 x 6) -1/64 8)) (fma.f64 (*.f64 x (*.f64 x -1/4)) (fma.f64 x (*.f64 x -1/4) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x x) (-.f64 4 (*.f64 (pow.f64 x 4) 1/16))) (-.f64 2 (*.f64 x (*.f64 x -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x x) 1) (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x x) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (+.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x x) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (+.f64 x x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x x) (pow.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x x) (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x x) (sqrt.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (+.f64 x x) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (+.f64 x x) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (+.f64 x x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))) 1) 1))))))

simplify52.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
377×fma-def_binary64
344×log-prod_binary64
311×associate-/l*_binary64
308×times-frac_binary64
296×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01681123
14401051
214551038
360671035
Stop Event
1×node limit
Counts
62 → 101
Calls
Call 1
Inputs
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/64 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (*.f64 1/512 (pow.f64 x 7)) (+.f64 (*.f64 1/64 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(+.f64 0 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))))) 1)
(*.f64 (+.f64 x x) (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 (+.f64 x x) (/.f64 1 (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 (+.f64 x x) (/.f64 1 (neg.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 2 (*.f64 x (/.f64 1 (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))) 1)
(*.f64 1 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (cbrt.f64 (*.f64 (+.f64 x x) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) -2))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 x x) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) -2))) (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))) (sqrt.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))))
(*.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/4) 2)) (+.f64 x x))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) -2) (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 (/.f64 2 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) -1/2) (sqrt.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))))
(*.f64 (/.f64 (+.f64 x x) (fma.f64 (pow.f64 x 6) -1/64 8)) (fma.f64 (*.f64 x (*.f64 x -1/4)) (fma.f64 x (*.f64 x -1/4) -2) 4))
(*.f64 (/.f64 (+.f64 x x) (-.f64 4 (*.f64 (pow.f64 x 4) 1/16))) (-.f64 2 (*.f64 x (*.f64 x -1/4))))
(*.f64 (/.f64 (+.f64 x x) 1) (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 (/.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(pow.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))) 1)
(pow.f64 (*.f64 (+.f64 x x) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) -2)) 1/2)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) 3)
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))) 2)
(pow.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (+.f64 x x)) -1)
(pow.f64 (/.f64 (+.f64 x x) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 3)) 1/3)
(pow.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (+.f64 x x)) 1) -1)
(pow.f64 (*.f64 (+.f64 x x) (pow.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))) 3)) 1/3)
(pow.f64 (*.f64 (+.f64 x x) (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))) 3)
(pow.f64 (*.f64 (+.f64 x x) (sqrt.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))))) 2)
(neg.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))))
(sqrt.f64 (*.f64 (+.f64 x x) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) -2)))
(log.f64 (exp.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))))))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))) 3))
(cbrt.f64 (/.f64 (+.f64 x x) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))))
(exp.f64 (log.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))))) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (+.f64 x x))) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))) 1) 1))
Outputs
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(fma.f64 1/8 (pow.f64 x 3) x)
(+.f64 (*.f64 1/64 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x))
(fma.f64 1/64 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(fma.f64 1/8 (pow.f64 x 3) (fma.f64 1/64 (pow.f64 x 5) x))
(+.f64 (*.f64 1/512 (pow.f64 x 7)) (+.f64 (*.f64 1/64 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(fma.f64 1/512 (pow.f64 x 7) (fma.f64 1/64 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x)))
(fma.f64 1/64 (pow.f64 x 5) (fma.f64 1/512 (pow.f64 x 7) (fma.f64 1/8 (pow.f64 x 3) x)))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (/.f64 8 x)))
(+.f64 (/.f64 -64 (pow.f64 x 3)) (/.f64 -8 x))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5)))))
(-.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5))))
(+.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 -8 x) (/.f64 -512 (pow.f64 x 5))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 4096 (pow.f64 x 7)) (/.f64 8 x)) (/.f64 512 (pow.f64 x 5)))))
(-.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 512 (pow.f64 x 5)) (+.f64 (/.f64 8 x) (/.f64 4096 (pow.f64 x 7)))))
(+.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 -8 x) (/.f64 -512 (pow.f64 x 5))) (/.f64 -4096 (pow.f64 x 7))))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (/.f64 8 x)))
(+.f64 (/.f64 -64 (pow.f64 x 3)) (/.f64 -8 x))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5)))))
(-.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5))))
(+.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 -8 x) (/.f64 -512 (pow.f64 x 5))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 4096 (pow.f64 x 7)) (/.f64 8 x)) (/.f64 512 (pow.f64 x 5)))))
(-.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 512 (pow.f64 x 5)) (+.f64 (/.f64 8 x) (/.f64 4096 (pow.f64 x 7)))))
(+.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 -8 x) (/.f64 -512 (pow.f64 x 5))) (/.f64 -4096 (pow.f64 x 7))))
(+.f64 0 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))))))
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))))) 1)
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(*.f64 (+.f64 x x) (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))) (+.f64 x x))
(/.f64 (*.f64 4 (*.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2))
(*.f64 (+.f64 x x) (/.f64 1 (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(*.f64 (+.f64 x x) (/.f64 1 (neg.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (+.f64 x x) (+.f64 (*.f64 (*.f64 x x) 1/4) -2))
(*.f64 x (/.f64 2 (fma.f64 x (*.f64 x 1/4) -2)))
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(*.f64 2 (*.f64 x (/.f64 1 (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(*.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))) 1)
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(*.f64 1 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(*.f64 (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (cbrt.f64 (*.f64 (+.f64 x x) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) -2))))
(*.f64 (*.f64 2 (/.f64 x (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))) (cbrt.f64 (*.f64 (+.f64 x x) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) -2))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 x x) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) -2))) (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (cbrt.f64 (*.f64 (+.f64 x x) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) -2))))
(*.f64 (*.f64 2 (/.f64 x (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))) (cbrt.f64 (*.f64 (+.f64 x x) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) -2))))
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))) (sqrt.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))))
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(*.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/4) 2)) (+.f64 x x))
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) -2) (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(*.f64 (/.f64 2 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) (/.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(*.f64 (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) -1/2) (sqrt.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))))
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) -1/2))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) -1/2))
(*.f64 (sqrt.f64 (/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) -1/2))
(*.f64 (/.f64 (+.f64 x x) (fma.f64 (pow.f64 x 6) -1/64 8)) (fma.f64 (*.f64 x (*.f64 x -1/4)) (fma.f64 x (*.f64 x -1/4) -2) 4))
(*.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 x 6) -1/64 8) x)) (fma.f64 (*.f64 x (*.f64 x -1/4)) (fma.f64 x (*.f64 x -1/4) -2) 4))
(*.f64 (/.f64 (+.f64 x x) (fma.f64 (pow.f64 x 6) -1/64 8)) (fma.f64 x (*.f64 (*.f64 x -1/4) (fma.f64 x (*.f64 x -1/4) -2)) 4))
(*.f64 (/.f64 (+.f64 x x) (-.f64 4 (*.f64 (pow.f64 x 4) 1/16))) (-.f64 2 (*.f64 x (*.f64 x -1/4))))
(*.f64 (/.f64 2 (/.f64 (+.f64 4 (*.f64 (pow.f64 x 4) -1/16)) x)) (+.f64 2 (*.f64 (*.f64 x x) 1/4)))
(/.f64 2 (/.f64 (fma.f64 (pow.f64 x 4) -1/16 4) (*.f64 x (fma.f64 x (*.f64 x 1/4) 2))))
(*.f64 (/.f64 (+.f64 x x) 1) (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))) (+.f64 x x))
(/.f64 (*.f64 4 (*.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2))
(*.f64 (/.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)) 2)) (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))) (+.f64 x x))
(/.f64 (*.f64 4 (*.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2))
(pow.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))) 1)
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(pow.f64 (*.f64 (+.f64 x x) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) -2)) 1/2)
(sqrt.f64 (*.f64 (+.f64 x x) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) -2)))
(pow.f64 (pow.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))) 3) 1/3)
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) 3)
(/.f64 (*.f64 8 (pow.f64 x 3)) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 8 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) (pow.f64 x 3)))
(*.f64 8 (/.f64 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/4) 2)))
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))) 2)
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(pow.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (+.f64 x x)) -1)
(/.f64 1 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (+.f64 x x)))
(/.f64 (/.f64 1/2 x) (fma.f64 x (*.f64 x -1/4) 2))
(pow.f64 (/.f64 (+.f64 x x) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 3)) 1/3)
(cbrt.f64 (/.f64 (+.f64 x x) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 3)))
(cbrt.f64 (/.f64 2 (/.f64 (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 3) x)))
(cbrt.f64 (*.f64 (/.f64 x (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 3)) 2))
(pow.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (+.f64 x x)) 1) -1)
(/.f64 1 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (+.f64 x x)))
(/.f64 (/.f64 1/2 x) (fma.f64 x (*.f64 x -1/4) 2))
(pow.f64 (*.f64 (+.f64 x x) (pow.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))) 3)) 1/3)
(cbrt.f64 (*.f64 (+.f64 x x) (pow.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))) 3)))
(cbrt.f64 (*.f64 (+.f64 x x) (pow.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2)) 3)))
(cbrt.f64 (*.f64 x (*.f64 2 (pow.f64 (/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x)) 3))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x x) 4) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 3)))
(pow.f64 (*.f64 (+.f64 x x) (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))) 3)
(/.f64 (pow.f64 (*.f64 4 (*.f64 x x)) 3) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 (pow.f64 (+.f64 x x) 6) (fma.f64 x (*.f64 x -1/4) 2))
(pow.f64 (*.f64 (+.f64 x x) (sqrt.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))))) 2)
(pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) 3)
(/.f64 (*.f64 8 (pow.f64 x 3)) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 8 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) (pow.f64 x 3)))
(*.f64 8 (/.f64 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/4) 2)))
(neg.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 (+.f64 x x) (/.f64 1 (neg.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (+.f64 x x) (+.f64 (*.f64 (*.f64 x x) 1/4) -2))
(*.f64 x (/.f64 2 (fma.f64 x (*.f64 x 1/4) -2)))
(sqrt.f64 (*.f64 (+.f64 x x) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) -2)))
(log.f64 (exp.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))))
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))))))
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))))))
(*.f64 (+.f64 x x) (/.f64 1 (neg.f64 (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (+.f64 x x) (+.f64 (*.f64 (*.f64 x x) 1/4) -2))
(*.f64 x (/.f64 2 (fma.f64 x (*.f64 x 1/4) -2)))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))) 3))
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(cbrt.f64 (/.f64 (+.f64 x x) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 3)))
(cbrt.f64 (/.f64 2 (/.f64 (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 3) x)))
(cbrt.f64 (*.f64 (/.f64 x (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 3)) 2))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))))
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))))
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(exp.f64 (log.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))))
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))) 1))
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))))) 1/3))
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2)))) 3))
(pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 2))) 3)
(/.f64 (*.f64 8 (pow.f64 x 3)) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 8 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) (pow.f64 x 3)))
(*.f64 8 (/.f64 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/4) 2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2))))) 2))
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (+.f64 x x))) -1))
(/.f64 1 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (+.f64 x x)))
(/.f64 (/.f64 1/2 x) (fma.f64 x (*.f64 x -1/4) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))) 1) 1))
(*.f64 2 (/.f64 x (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))

eval30.0ms (1%)

Compiler

Compiled 1563 to 1119 computations (28.4% saved)

prune12.0ms (0.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1001101
Fresh011
Picked011
Done033
Total1006106
Error
0b
Counts
106 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
✓0.2b
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 (*.f64 x x) -1/4)))
✓59.2b
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
✓0.2b
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
▶0.2b
(*.f64 (/.f64 (+.f64 x x) (-.f64 4 (*.f64 (pow.f64 x 4) 1/16))) (-.f64 2 (*.f64 x (*.f64 x -1/4))))
0.4b
x
Compiler

Compiled 66 to 48 computations (27.3% saved)

localize24.0ms (0.8%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (/.f64 (+.f64 x x) (-.f64 4 (*.f64 (pow.f64 x 4) 1/16))) (-.f64 2 (*.f64 x (*.f64 x -1/4))))
Compiler

Compiled 69 to 48 computations (30.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 (/.f64 (+.f64 x x) (-.f64 4 (*.f64 (pow.f64 x 4) 1/16))) (-.f64 2 (*.f64 x (*.f64 x -1/4))))
0.0ms
x
@0
(*.f64 (/.f64 (+.f64 x x) (-.f64 4 (*.f64 (pow.f64 x 4) 1/16))) (-.f64 2 (*.f64 x (*.f64 x -1/4))))
0.0ms
x
@-inf
(*.f64 (/.f64 (+.f64 x x) (-.f64 4 (*.f64 (pow.f64 x 4) 1/16))) (-.f64 2 (*.f64 x (*.f64 x -1/4))))

rewrite54.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
670×prod-diff_binary64
345×fma-def_binary64
268×expm1-udef_binary64
268×log1p-udef_binary64
214×log-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01528
135016
2506814
Stop Event
1×node limit
Counts
1 → 44
Calls
Call 1
Inputs
(*.f64 (/.f64 (+.f64 x x) (-.f64 4 (*.f64 (pow.f64 x 4) 1/16))) (-.f64 2 (*.f64 x (*.f64 x -1/4))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)))) (*.f64 (*.f64 -1/4 (*.f64 x x)) (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))) 2) (*.f64 (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))) (*.f64 -1/4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (*.f64 (*.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (+.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (*.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x (*.f64 x -1/4) 2) (*.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (*.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64)) (*.f64 (*.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (+.f64 x x)) (fma.f64 (*.f64 -1/4 (*.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (+.f64 x x)) (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (+.f64 -4 (*.f64 (pow.f64 x 4) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (+.f64 x x)) (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (fma.f64 (pow.f64 x 4) 1/16 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2)) (fma.f64 (pow.f64 x 4) 1/16 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2)) (+.f64 -4 (*.f64 (pow.f64 x 4) 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))) (+.f64 -4 (*.f64 (pow.f64 x 4) 1/16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x x) (-.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64))) (*.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (fma.f64 (*.f64 -1/4 (*.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x x) (-.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64))) (*.f64 (+.f64 -4 (*.f64 (pow.f64 x 4) 1/16)) (fma.f64 (*.f64 -1/4 (*.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x x) (fma.f64 (pow.f64 x 4) 1/16 4)) (*.f64 (+.f64 -4 (*.f64 (pow.f64 x 4) 1/16)) (fma.f64 x (*.f64 x -1/4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x x) (fma.f64 (pow.f64 x 4) 1/16 4)) (*.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (fma.f64 x (*.f64 x -1/4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64)) (+.f64 x x)) (*.f64 (fma.f64 (*.f64 -1/4 (*.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2) 4) (fma.f64 (pow.f64 x 4) 1/16 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64)) (+.f64 x x)) (*.f64 (fma.f64 (*.f64 -1/4 (*.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2) 4) (+.f64 -4 (*.f64 (pow.f64 x 4) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64)) 1) (*.f64 (fma.f64 (*.f64 -1/4 (*.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2) 4) (*.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2)) 1) (fma.f64 (pow.f64 x 4) 1/16 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 1/16 4)) 2)) (cbrt.f64 (fma.f64 (pow.f64 x 4) 1/16 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2)) (sqrt.f64 (fma.f64 (pow.f64 x 4) 1/16 4))) (sqrt.f64 (fma.f64 (pow.f64 x 4) 1/16 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64)) (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)))) (fma.f64 (*.f64 -1/4 (*.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)))) (fma.f64 x (*.f64 x -1/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))) (-.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64))) (fma.f64 (*.f64 -1/4 (*.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))) (fma.f64 (pow.f64 x 4) 1/16 4)) (fma.f64 x (*.f64 x -1/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))) 3) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 3) (pow.f64 (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))) 2 (*.f64 (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))) (*.f64 -1/4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))) (*.f64 (*.f64 -1/4 (*.f64 x x)) (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)))))))))

simplify54.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
620×associate-/l*_binary64
482×associate-/r*_binary64
351×distribute-rgt-in_binary64
323×distribute-lft-in_binary64
309×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01551362
14581285
217711199
373151199
Stop Event
1×node limit
Counts
56 → 92
Calls
Call 1
Inputs
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/64 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (*.f64 1/512 (pow.f64 x 7)) (+.f64 (*.f64 1/64 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(+.f64 (*.f64 2 (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)))) (*.f64 (*.f64 -1/4 (*.f64 x x)) (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)))))
(+.f64 (*.f64 (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))) 2) (*.f64 (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))) (*.f64 -1/4 (*.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2)))) 1)
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (*.f64 (*.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (+.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (*.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (+.f64 x x))))
(/.f64 (fma.f64 x (*.f64 x -1/4) 2) (*.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (+.f64 x x)))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (*.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (-.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64)) (*.f64 (*.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (+.f64 x x)) (fma.f64 (*.f64 -1/4 (*.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2) 4)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (+.f64 x x)) (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (+.f64 -4 (*.f64 (pow.f64 x 4) 1/16))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (+.f64 x x)) (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (fma.f64 (pow.f64 x 4) 1/16 4)))
(/.f64 (*.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2)) (fma.f64 (pow.f64 x 4) 1/16 4))
(/.f64 (*.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2)) (+.f64 -4 (*.f64 (pow.f64 x 4) 1/16)))
(/.f64 (neg.f64 (*.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))) (+.f64 -4 (*.f64 (pow.f64 x 4) 1/16)))
(/.f64 (*.f64 (+.f64 x x) (-.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64))) (*.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (fma.f64 (*.f64 -1/4 (*.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2) 4)))
(/.f64 (*.f64 (+.f64 x x) (-.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64))) (*.f64 (+.f64 -4 (*.f64 (pow.f64 x 4) 1/16)) (fma.f64 (*.f64 -1/4 (*.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2) 4)))
(/.f64 (*.f64 (+.f64 x x) (fma.f64 (pow.f64 x 4) 1/16 4)) (*.f64 (+.f64 -4 (*.f64 (pow.f64 x 4) 1/16)) (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (*.f64 (+.f64 x x) (fma.f64 (pow.f64 x 4) 1/16 4)) (*.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (*.f64 (-.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64)) (+.f64 x x)) (*.f64 (fma.f64 (*.f64 -1/4 (*.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2) 4) (fma.f64 (pow.f64 x 4) 1/16 4)))
(/.f64 (*.f64 (-.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64)) (+.f64 x x)) (*.f64 (fma.f64 (*.f64 -1/4 (*.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2) 4) (+.f64 -4 (*.f64 (pow.f64 x 4) 1/16))))
(/.f64 (*.f64 (-.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64)) 1) (*.f64 (fma.f64 (*.f64 -1/4 (*.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2) 4) (*.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (+.f64 x x))))
(/.f64 (/.f64 (*.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2)) 1) (fma.f64 (pow.f64 x 4) 1/16 4))
(/.f64 (/.f64 (*.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 1/16 4)) 2)) (cbrt.f64 (fma.f64 (pow.f64 x 4) 1/16 4)))
(/.f64 (/.f64 (*.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2)) (sqrt.f64 (fma.f64 (pow.f64 x 4) 1/16 4))) (sqrt.f64 (fma.f64 (pow.f64 x 4) 1/16 4)))
(/.f64 (*.f64 (-.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64)) (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)))) (fma.f64 (*.f64 -1/4 (*.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2) 4))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)))) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 (*.f64 (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))) (-.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64))) (fma.f64 (*.f64 -1/4 (*.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2) 4))
(/.f64 (*.f64 (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))) (fma.f64 (pow.f64 x 4) 1/16 4)) (fma.f64 x (*.f64 x -1/4) 2))
(pow.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2)) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))) 2)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))) 3) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 3) (pow.f64 (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))))
(exp.f64 (log.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))) 1))
(fma.f64 (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))) 2 (*.f64 (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))) (*.f64 -1/4 (*.f64 x x))))
(fma.f64 2 (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))) (*.f64 (*.f64 -1/4 (*.f64 x x)) (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)))))
Outputs
x
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(fma.f64 1/8 (pow.f64 x 3) x)
(+.f64 (*.f64 1/64 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x))
(fma.f64 1/64 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x))
(fma.f64 1/8 (pow.f64 x 3) (fma.f64 1/64 (pow.f64 x 5) x))
(+.f64 (*.f64 1/512 (pow.f64 x 7)) (+.f64 (*.f64 1/64 (pow.f64 x 5)) (+.f64 (*.f64 1/8 (pow.f64 x 3)) x)))
(fma.f64 1/512 (pow.f64 x 7) (fma.f64 1/64 (pow.f64 x 5) (fma.f64 1/8 (pow.f64 x 3) x)))
(fma.f64 1/512 (pow.f64 x 7) (fma.f64 1/8 (pow.f64 x 3) (fma.f64 1/64 (pow.f64 x 5) x)))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (/.f64 8 x)))
(+.f64 (/.f64 -64 (pow.f64 x 3)) (/.f64 -8 x))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5)))))
(-.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5))))
(+.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 -8 x) (/.f64 -512 (pow.f64 x 5))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (/.f64 4096 (pow.f64 x 7))) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5)))))
(-.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (+.f64 (/.f64 512 (pow.f64 x 5)) (/.f64 4096 (pow.f64 x 7)))))
(+.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 -512 (pow.f64 x 5)) (+.f64 (/.f64 -8 x) (/.f64 -4096 (pow.f64 x 7)))))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (/.f64 8 x)))
(+.f64 (/.f64 -64 (pow.f64 x 3)) (/.f64 -8 x))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5))))))
(neg.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5)))))
(-.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5))))
(+.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 -8 x) (/.f64 -512 (pow.f64 x 5))))
(neg.f64 (+.f64 (*.f64 64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4096 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 8 (/.f64 1 x)) (*.f64 512 (/.f64 1 (pow.f64 x 5)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 64 (pow.f64 x 3)) (/.f64 4096 (pow.f64 x 7))) (+.f64 (/.f64 8 x) (/.f64 512 (pow.f64 x 5)))))
(-.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 8 x) (+.f64 (/.f64 512 (pow.f64 x 5)) (/.f64 4096 (pow.f64 x 7)))))
(+.f64 (/.f64 -64 (pow.f64 x 3)) (+.f64 (/.f64 -512 (pow.f64 x 5)) (+.f64 (/.f64 -8 x) (/.f64 -4096 (pow.f64 x 7)))))
(+.f64 (*.f64 2 (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)))) (*.f64 (*.f64 -1/4 (*.f64 x x)) (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)))))
(*.f64 (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))) (+.f64 2 (*.f64 -1/4 (*.f64 x x))))
(*.f64 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)) (+.f64 4 (*.f64 (*.f64 x x) -1/2)))
(*.f64 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)) (fma.f64 (*.f64 x x) -1/2 4))
(+.f64 (*.f64 (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))) 2) (*.f64 (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))) (*.f64 -1/4 (*.f64 x x))))
(*.f64 (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))) (+.f64 2 (*.f64 -1/4 (*.f64 x x))))
(*.f64 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)) (+.f64 4 (*.f64 (*.f64 x x) -1/2)))
(*.f64 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)) (fma.f64 (*.f64 x x) -1/2 4))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2)))) 1)
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(/.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (*.f64 (*.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (+.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (*.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (*.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (/.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (*.f64 2 (*.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)))) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 1 (*.f64 x (fma.f64 (*.f64 x x) -1/2 4)))
(/.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (*.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (+.f64 x x))))
(/.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (*.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (*.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (/.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (*.f64 2 (*.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)))) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 1 (*.f64 x (fma.f64 (*.f64 x x) -1/2 4)))
(/.f64 (fma.f64 x (*.f64 x -1/4) 2) (*.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (+.f64 x x)))
(/.f64 (fma.f64 x (*.f64 x -1/4) 2) (*.f64 2 (*.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))))
(/.f64 (fma.f64 x (*.f64 x -1/4) 2) (*.f64 x (*.f64 2 (fma.f64 (pow.f64 x 4) 1/16 4))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (*.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))))
(*.f64 (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))) (+.f64 2 (*.f64 -1/4 (*.f64 x x))))
(*.f64 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)) (+.f64 4 (*.f64 (*.f64 x x) -1/2)))
(*.f64 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)) (fma.f64 (*.f64 x x) -1/2 4))
(/.f64 (-.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64)) (*.f64 (*.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (+.f64 x x)) (fma.f64 (*.f64 -1/4 (*.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2) 4)))
(/.f64 (/.f64 (+.f64 8 (*.f64 1/64 (pow.f64 x 6))) (*.f64 2 (*.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)))) (fma.f64 (*.f64 -1/4 (*.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2) 4))
(*.f64 (/.f64 (fma.f64 1/64 (pow.f64 x 6) 8) (+.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (*.f64 (*.f64 x x) -1/2))) (/.f64 1/2 (*.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (+.f64 x x)) (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (+.f64 -4 (*.f64 (pow.f64 x 4) 1/16))))
(*.f64 (/.f64 (+.f64 x x) (+.f64 -4 (*.f64 (pow.f64 x 4) 1/16))) (/.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (/.f64 (*.f64 2 (*.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))) (fma.f64 x (*.f64 x -1/4) 2)) (fma.f64 (pow.f64 x 4) 1/16 -4))
(*.f64 (+.f64 x x) (/.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (fma.f64 (pow.f64 x 4) 1/16 -4))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (+.f64 x x)) (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (fma.f64 (pow.f64 x 4) 1/16 4)))
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(/.f64 (*.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2)) (fma.f64 (pow.f64 x 4) 1/16 4))
(*.f64 (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))) (+.f64 2 (*.f64 -1/4 (*.f64 x x))))
(*.f64 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)) (+.f64 4 (*.f64 (*.f64 x x) -1/2)))
(*.f64 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)) (fma.f64 (*.f64 x x) -1/2 4))
(/.f64 (*.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2)) (+.f64 -4 (*.f64 (pow.f64 x 4) 1/16)))
(*.f64 (/.f64 (+.f64 x x) (fma.f64 (pow.f64 x 4) 1/16 -4)) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 (fma.f64 (*.f64 x x) -1/2 4) (/.f64 (fma.f64 (pow.f64 x 4) 1/16 -4) x))
(/.f64 (neg.f64 (*.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))) (+.f64 -4 (*.f64 (pow.f64 x 4) 1/16)))
(/.f64 (*.f64 (+.f64 x x) (neg.f64 (fma.f64 x (*.f64 x -1/4) 2))) (+.f64 -4 (*.f64 (pow.f64 x 4) 1/16)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (*.f64 -2 x)) (fma.f64 (pow.f64 x 4) 1/16 -4))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) -1/2 4) (neg.f64 x)) (fma.f64 (pow.f64 x 4) 1/16 -4))
(/.f64 (*.f64 (+.f64 x x) (-.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64))) (*.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (fma.f64 (*.f64 -1/4 (*.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2) 4)))
(*.f64 (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))) (/.f64 (-.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64)) (fma.f64 (*.f64 -1/4 (*.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2) 4)))
(*.f64 (/.f64 (/.f64 (+.f64 x x) (fma.f64 (pow.f64 x 4) 1/16 4)) (fma.f64 (*.f64 -1/4 (*.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2) 4)) (+.f64 8 (*.f64 1/64 (pow.f64 x 6))))
(*.f64 2 (*.f64 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)) (/.f64 (fma.f64 1/64 (pow.f64 x 6) 8) (+.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (*.f64 (*.f64 x x) -1/2)))))
(/.f64 (*.f64 (+.f64 x x) (-.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64))) (*.f64 (+.f64 -4 (*.f64 (pow.f64 x 4) 1/16)) (fma.f64 (*.f64 -1/4 (*.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2) 4)))
(*.f64 (/.f64 (-.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64)) (fma.f64 (*.f64 -1/4 (*.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2) 4)) (/.f64 (+.f64 x x) (+.f64 -4 (*.f64 (pow.f64 x 4) 1/16))))
(*.f64 (/.f64 (+.f64 8 (*.f64 1/64 (pow.f64 x 6))) (fma.f64 (*.f64 -1/4 (*.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2) 4)) (/.f64 (+.f64 x x) (fma.f64 (pow.f64 x 4) 1/16 -4)))
(*.f64 (fma.f64 1/64 (pow.f64 x 6) 8) (/.f64 x (/.f64 (+.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (*.f64 (*.f64 x x) -1/2)) (/.f64 2 (fma.f64 (pow.f64 x 4) 1/16 -4)))))
(/.f64 (*.f64 (+.f64 x x) (fma.f64 (pow.f64 x 4) 1/16 4)) (*.f64 (+.f64 -4 (*.f64 (pow.f64 x 4) 1/16)) (fma.f64 x (*.f64 x -1/4) 2)))
(*.f64 (/.f64 (+.f64 x x) (+.f64 -4 (*.f64 (pow.f64 x 4) 1/16))) (/.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (/.f64 (*.f64 2 (*.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))) (fma.f64 x (*.f64 x -1/4) 2)) (fma.f64 (pow.f64 x 4) 1/16 -4))
(*.f64 (+.f64 x x) (/.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (*.f64 (fma.f64 x (*.f64 x -1/4) 2) (fma.f64 (pow.f64 x 4) 1/16 -4))))
(/.f64 (*.f64 (+.f64 x x) (fma.f64 (pow.f64 x 4) 1/16 4)) (*.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (fma.f64 x (*.f64 x -1/4) 2)))
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(/.f64 (*.f64 (-.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64)) (+.f64 x x)) (*.f64 (fma.f64 (*.f64 -1/4 (*.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2) 4) (fma.f64 (pow.f64 x 4) 1/16 4)))
(*.f64 (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))) (/.f64 (-.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64)) (fma.f64 (*.f64 -1/4 (*.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2) 4)))
(*.f64 (/.f64 (/.f64 (+.f64 x x) (fma.f64 (pow.f64 x 4) 1/16 4)) (fma.f64 (*.f64 -1/4 (*.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2) 4)) (+.f64 8 (*.f64 1/64 (pow.f64 x 6))))
(*.f64 2 (*.f64 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)) (/.f64 (fma.f64 1/64 (pow.f64 x 6) 8) (+.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (*.f64 (*.f64 x x) -1/2)))))
(/.f64 (*.f64 (-.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64)) (+.f64 x x)) (*.f64 (fma.f64 (*.f64 -1/4 (*.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2) 4) (+.f64 -4 (*.f64 (pow.f64 x 4) 1/16))))
(*.f64 (/.f64 (-.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64)) (fma.f64 (*.f64 -1/4 (*.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2) 4)) (/.f64 (+.f64 x x) (+.f64 -4 (*.f64 (pow.f64 x 4) 1/16))))
(*.f64 (/.f64 (+.f64 8 (*.f64 1/64 (pow.f64 x 6))) (fma.f64 (*.f64 -1/4 (*.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2) 4)) (/.f64 (+.f64 x x) (fma.f64 (pow.f64 x 4) 1/16 -4)))
(*.f64 (fma.f64 1/64 (pow.f64 x 6) 8) (/.f64 x (/.f64 (+.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (*.f64 (*.f64 x x) -1/2)) (/.f64 2 (fma.f64 (pow.f64 x 4) 1/16 -4)))))
(/.f64 (*.f64 (-.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64)) 1) (*.f64 (fma.f64 (*.f64 -1/4 (*.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2) 4) (*.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (+.f64 x x))))
(/.f64 (-.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64)) (*.f64 (*.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (+.f64 x x)) (fma.f64 (*.f64 -1/4 (*.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2) 4)))
(/.f64 (/.f64 (+.f64 8 (*.f64 1/64 (pow.f64 x 6))) (*.f64 2 (*.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)))) (fma.f64 (*.f64 -1/4 (*.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2) 4))
(*.f64 (/.f64 (fma.f64 1/64 (pow.f64 x 6) 8) (+.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (*.f64 (*.f64 x x) -1/2))) (/.f64 1/2 (*.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))))
(/.f64 (/.f64 (*.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2)) 1) (fma.f64 (pow.f64 x 4) 1/16 4))
(*.f64 (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))) (+.f64 2 (*.f64 -1/4 (*.f64 x x))))
(*.f64 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)) (+.f64 4 (*.f64 (*.f64 x x) -1/2)))
(*.f64 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)) (fma.f64 (*.f64 x x) -1/2 4))
(/.f64 (/.f64 (*.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 1/16 4)) 2)) (cbrt.f64 (fma.f64 (pow.f64 x 4) 1/16 4)))
(*.f64 (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))) (+.f64 2 (*.f64 -1/4 (*.f64 x x))))
(*.f64 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)) (+.f64 4 (*.f64 (*.f64 x x) -1/2)))
(*.f64 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)) (fma.f64 (*.f64 x x) -1/2 4))
(/.f64 (/.f64 (*.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2)) (sqrt.f64 (fma.f64 (pow.f64 x 4) 1/16 4))) (sqrt.f64 (fma.f64 (pow.f64 x 4) 1/16 4)))
(*.f64 (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))) (+.f64 2 (*.f64 -1/4 (*.f64 x x))))
(*.f64 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)) (+.f64 4 (*.f64 (*.f64 x x) -1/2)))
(*.f64 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)) (fma.f64 (*.f64 x x) -1/2 4))
(/.f64 (*.f64 (-.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64)) (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)))) (fma.f64 (*.f64 -1/4 (*.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2) 4))
(*.f64 (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))) (/.f64 (-.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64)) (fma.f64 (*.f64 -1/4 (*.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2) 4)))
(*.f64 (/.f64 (/.f64 (+.f64 x x) (fma.f64 (pow.f64 x 4) 1/16 4)) (fma.f64 (*.f64 -1/4 (*.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2) 4)) (+.f64 8 (*.f64 1/64 (pow.f64 x 6))))
(*.f64 2 (*.f64 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)) (/.f64 (fma.f64 1/64 (pow.f64 x 6) 8) (+.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (*.f64 (*.f64 x x) -1/2)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)))) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(/.f64 (*.f64 (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))) (-.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64))) (fma.f64 (*.f64 -1/4 (*.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2) 4))
(*.f64 (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))) (/.f64 (-.f64 8 (*.f64 (pow.f64 (*.f64 x x) 3) -1/64)) (fma.f64 (*.f64 -1/4 (*.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2) 4)))
(*.f64 (/.f64 (/.f64 (+.f64 x x) (fma.f64 (pow.f64 x 4) 1/16 4)) (fma.f64 (*.f64 -1/4 (*.f64 x x)) (fma.f64 x (*.f64 x -1/4) 2) 4)) (+.f64 8 (*.f64 1/64 (pow.f64 x 6))))
(*.f64 2 (*.f64 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)) (/.f64 (fma.f64 1/64 (pow.f64 x 6) 8) (+.f64 (fma.f64 (pow.f64 x 4) 1/16 4) (*.f64 (*.f64 x x) -1/2)))))
(/.f64 (*.f64 (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))) (fma.f64 (pow.f64 x 4) 1/16 4)) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(pow.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2)) 1)
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(pow.f64 (pow.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2)) 3) 1/3)
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))) 3)
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))) 2)
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2)) 2))
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(log.f64 (exp.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2)))))
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2)) 3))
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))) 3) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 3)))
(cbrt.f64 (*.f64 8 (*.f64 (pow.f64 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)) 3) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 3))))
(cbrt.f64 (*.f64 8 (*.f64 (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 3) (pow.f64 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)) 3))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 3) (pow.f64 (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))) 3) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 3)))
(cbrt.f64 (*.f64 8 (*.f64 (pow.f64 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)) 3) (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 3))))
(cbrt.f64 (*.f64 8 (*.f64 (pow.f64 (fma.f64 x (*.f64 x -1/4) 2) 3) (pow.f64 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)) 3))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(exp.f64 (log.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))))
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))) 1))
(/.f64 (+.f64 x x) (fma.f64 x (*.f64 x -1/4) 2))
(/.f64 2 (/.f64 (fma.f64 x (*.f64 x -1/4) 2) x))
(fma.f64 (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))) 2 (*.f64 (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))) (*.f64 -1/4 (*.f64 x x))))
(*.f64 (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))) (+.f64 2 (*.f64 -1/4 (*.f64 x x))))
(*.f64 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)) (+.f64 4 (*.f64 (*.f64 x x) -1/2)))
(*.f64 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)) (fma.f64 (*.f64 x x) -1/2 4))
(fma.f64 2 (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))) (*.f64 (*.f64 -1/4 (*.f64 x x)) (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)))))
(*.f64 (*.f64 2 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4))) (+.f64 2 (*.f64 -1/4 (*.f64 x x))))
(*.f64 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)) (+.f64 4 (*.f64 (*.f64 x x) -1/2)))
(*.f64 (/.f64 x (fma.f64 (pow.f64 x 4) 1/16 4)) (fma.f64 (*.f64 x x) -1/2 4))

eval34.0ms (1.2%)

Compiler

Compiled 1875 to 1350 computations (28% saved)

prune14.0ms (0.5%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New92092
Fresh011
Picked011
Done044
Total92698
Error
0b
Counts
98 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
✓0.2b
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 (*.f64 x x) -1/4)))
✓59.2b
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
✓0.2b
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
✓0.2b
(*.f64 (/.f64 (+.f64 x x) (-.f64 4 (*.f64 (pow.f64 x 4) 1/16))) (-.f64 2 (*.f64 x (*.f64 x -1/4))))
0.4b
x
Compiler

Compiled 66 to 48 computations (27.3% saved)

regimes8.0ms (0.3%)

Counts
6 → 1
Calls
Call 1
Inputs
x
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 (*.f64 x x) -1/4)))
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(*.f64 (/.f64 (+.f64 x x) (-.f64 4 (*.f64 (pow.f64 x 4) 1/16))) (-.f64 2 (*.f64 x (*.f64 x -1/4))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
Outputs
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
Calls

2 calls:

4.0ms
x
2.0ms
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 73 to 50 computations (31.5% saved)

regimes7.0ms (0.2%)

Counts
5 → 1
Calls
Call 1
Inputs
x
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 (*.f64 x x) -1/4)))
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(*.f64 (/.f64 (+.f64 x x) (-.f64 4 (*.f64 (pow.f64 x 4) 1/16))) (-.f64 2 (*.f64 x (*.f64 x -1/4))))
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Outputs
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
Calls

2 calls:

4.0ms
x
2.0ms
(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Results
ErrorSegmentsBranch
0.2b1x
0.2b1(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
Compiler

Compiled 60 to 42 computations (30% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.2b remaining (-87.9%)

Threshold costs -0.2b (-87.9%)

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

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
0.2b1x
Compiler

Compiled 15 to 9 computations (40% saved)

simplify4.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02147
13147
23547
33747
43847
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 (*.f64 x x) -1/4)))
x
Outputs
(/.f64 (+.f64 x x) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 x))))
(+.f64 (*.f64 1/8 (pow.f64 x 3)) x)
(+.f64 x (*.f64 1/8 (pow.f64 x 3)))
(/.f64 (+.f64 x x) (+.f64 2 (*.f64 (*.f64 x x) -1/4)))
x
Compiler

Compiled 36 to 25 computations (30.6% saved)

soundness60.0ms (2%)

Algorithm
1×egg-herbie
Rules
454×fma-neg_binary64
415×cancel-sign-sub-inv_binary64
341×distribute-rgt-in_binary64
320×distribute-lft-in_binary64
275×unswap-sqr_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02221340
15061263
219731236
Stop Event
1×node limit
Compiler

Compiled 60 to 44 computations (26.7% saved)

end26.0ms (0.9%)

Compiler

Compiled 33 to 21 computations (36.4% saved)

Profiling

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