Details

Time bar (total: 7.6s)

analyze0.0ms (0%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
100%0%0%1
Compiler

Compiled 14 to 13 computations (7.1% saved)

sample1.9s (24.7%)

Results
910.0ms2205×body2048valid
506.0ms4514×body256valid
329.0ms1017×body1024valid
106.0ms520×body512valid

preprocess15.0ms (0.2%)

Algorithm
2×egg-herbie
Rules
8×sub-neg_binary64
8×fma-def_binary64
5×+-commutative_binary64
3×*-commutative_binary64
3×associate-+l-_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01018
12215
22915
33715
44415
55415
66515
77715
88015
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
Outputs
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) 1/2))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
8×sub-neg_binary64
8×fma-def_binary64
5×+-commutative_binary64
3×*-commutative_binary64
3×associate-+l-_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01018
12215
22915
33715
44415
55415
66515
77715
88015
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
Outputs
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) 1/2))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

eval1.0ms (0%)

Compiler

Compiled 23 to 21 computations (8.7% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
15.9b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶15.9b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
Compiler

Compiled 11 to 10 computations (9.1% saved)

localize17.0ms (0.2%)

Local error

Found 6 expressions with local error:

NewErrorProgram
2.0b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
0.0b
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
0.0b
(/.f64 1/2 (hypot.f64 1 x))
✓0.0b
(/.f64 1/2 (hypot.f64 1 x))
✓0.0b
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
✓2.0b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
Compiler

Compiled 37 to 31 computations (16.2% saved)

series6.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite62.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
602×unpow-prod-down_binary64
406×log-prod_binary64
387×prod-diff_binary64
249×pow2_binary64
226×pow-prod-down_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0934
120134
2259134
Stop Event
1×node limit
Counts
3 → 142
Calls
Call 1
Inputs
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 1/2 (hypot.f64 1 x))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/2 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1/2 (hypot.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/2 (hypot.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/2 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 1 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1))) (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 1 (neg.f64 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (pow.f64 (/.f64 1 (neg.f64 (hypot.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 1/2 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 1/2) 3) (/.f64 1 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) 2) 3) (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 1/2) 2) (/.f64 1 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/8 1/3) (/.f64 1 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 1/4 (fma.f64 x x 1)) 1/2) 1/3) (cbrt.f64 (/.f64 1 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 1/4 (fma.f64 x x 1)) (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1)))) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (hypot.f64 1 x) 2)) 2) -1) (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/4 (fma.f64 x x 1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (hypot.f64 1 x) 2) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (hypot.f64 1 x) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (hypot.f64 1 x) 2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/2 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (hypot.f64 1 x) 2) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/2 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/2 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/2 (hypot.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (hypot.f64 1 x) 2) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 1 x) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/2 (hypot.f64 1 x))))))))

simplify44.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
414×fma-def_binary64
356×associate-+l+_binary64
323×*-commutative_binary64
310×times-frac_binary64
295×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0116760
1343690
21025676
33219676
Stop Event
1×node limit
Counts
178 → 204
Calls
Call 1
Inputs
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (+.f64 (*.f64 -1843/32768 (pow.f64 x 8)) (*.f64 -11/128 (pow.f64 x 4)))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))))) (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))) (sqrt.f64 1/2))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))) (sqrt.f64 1/2))
1
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 1 (*.f64 11/128 (pow.f64 x 4))))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -69/1024 (pow.f64 x 6)) (+.f64 1 (*.f64 11/128 (pow.f64 x 4)))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(sqrt.f64 1/2)
(-.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))
(-.f64 (+.f64 (sqrt.f64 1/2) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))
1/2
(+.f64 1/2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 3/16 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -5/32 (pow.f64 x 6)) (*.f64 3/16 (pow.f64 x 4)))))
(/.f64 1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 3))) (*.f64 5/32 (/.f64 1 (pow.f64 x 7)))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 3))) (*.f64 5/32 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
Outputs
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -11/128 (pow.f64 x 4) (*.f64 69/1024 (pow.f64 x 6))))
(fma.f64 -11/128 (pow.f64 x 4) (fma.f64 69/1024 (pow.f64 x 6) (*.f64 1/8 (*.f64 x x))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (+.f64 (*.f64 -1843/32768 (pow.f64 x 8)) (*.f64 -11/128 (pow.f64 x 4)))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 69/1024 (pow.f64 x 6) (fma.f64 -1843/32768 (pow.f64 x 8) (*.f64 -11/128 (pow.f64 x 4)))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 69/1024 (pow.f64 x 6) (fma.f64 -11/128 (pow.f64 x 4) (*.f64 -1843/32768 (pow.f64 x 8)))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -1843/32768 (pow.f64 x 8)))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))
(-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x)))
(+.f64 (/.f64 -1/4 (*.f64 x (sqrt.f64 1/2))) (-.f64 1 (sqrt.f64 1/2)))
(+.f64 1 (-.f64 (/.f64 (/.f64 -1/4 x) (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(-.f64 (+.f64 1 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))
(+.f64 1 (-.f64 (/.f64 1/32 (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))))
(-.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)) 1) (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x)))
(+.f64 1 (-.f64 (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)) (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x))))
(+.f64 1 (+.f64 (/.f64 1/16 (*.f64 (*.f64 x x) (sqrt.f64 1/2))) (-.f64 (/.f64 (/.f64 -1/4 x) (sqrt.f64 1/2)) (sqrt.f64 1/2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))))) (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 (+.f64 1 (/.f64 1/32 (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)))) (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 4)) -1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))))) (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))))
(+.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)) 1) (-.f64 (/.f64 3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x))))
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(+.f64 1 (+.f64 (/.f64 1/16 (*.f64 (*.f64 x x) (sqrt.f64 1/2))) (+.f64 (/.f64 3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 -1/4 x) (sqrt.f64 1/2)) (sqrt.f64 1/2)))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))) (sqrt.f64 1/2))
(+.f64 1 (-.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(+.f64 1 (-.f64 (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x) (sqrt.f64 1/2)))
(-.f64 1 (-.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))) (sqrt.f64 1/2))
(+.f64 1 (-.f64 (+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (/.f64 1/32 (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)))) (sqrt.f64 1/2)))
(+.f64 1 (-.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)) (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x)) (sqrt.f64 1/2)))
(+.f64 (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x) (+.f64 (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)) (-.f64 1 (sqrt.f64 1/2))))
(+.f64 (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x) (+.f64 (/.f64 1/16 (*.f64 (*.f64 x x) (sqrt.f64 1/2))) (-.f64 1 (sqrt.f64 1/2))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))) (sqrt.f64 1/2))
(-.f64 (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 4)) -1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (+.f64 1 (+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (/.f64 1/32 (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)))))) (sqrt.f64 1/2))
(+.f64 (+.f64 1 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)) (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x))) (-.f64 (/.f64 -3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (sqrt.f64 1/2)))
(+.f64 1 (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x) (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x))) (/.f64 -3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (sqrt.f64 1/2)))
(+.f64 (/.f64 1/16 (*.f64 (*.f64 x x) (sqrt.f64 1/2))) (+.f64 1 (+.f64 (-.f64 (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x) (sqrt.f64 1/2)) (/.f64 -3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))))))
1
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) 1)
(fma.f64 -1/8 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -1/8 1)
(fma.f64 x (*.f64 x -1/8) 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 1 (*.f64 11/128 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/8 (*.f64 x x) 1) (*.f64 (pow.f64 x 4) 11/128))
(fma.f64 (*.f64 x x) -1/8 (fma.f64 (pow.f64 x 4) 11/128 1))
(fma.f64 (pow.f64 x 4) 11/128 (fma.f64 x (*.f64 x -1/8) 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -69/1024 (pow.f64 x 6)) (+.f64 1 (*.f64 11/128 (pow.f64 x 4)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 -69/1024 (pow.f64 x 6) (+.f64 1 (*.f64 (pow.f64 x 4) 11/128))))
(fma.f64 (*.f64 x x) -1/8 (fma.f64 (pow.f64 x 6) -69/1024 (fma.f64 (pow.f64 x 4) 11/128 1)))
(fma.f64 x (*.f64 x -1/8) (fma.f64 (pow.f64 x 4) 11/128 (fma.f64 (pow.f64 x 6) -69/1024 1)))
(fma.f64 (pow.f64 x 6) -69/1024 (fma.f64 (pow.f64 x 4) 11/128 (fma.f64 x (*.f64 x -1/8) 1)))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))
(+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x))
(-.f64 (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(-.f64 (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))) (/.f64 1/32 (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3))))
(+.f64 (sqrt.f64 1/2) (-.f64 (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x) (/.f64 (*.f64 1/32 (/.f64 2 (sqrt.f64 1/2))) (*.f64 x x))))
(+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x) (/.f64 (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) x) x)))
(+.f64 (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x) (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) (*.f64 x x))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(-.f64 (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 4)) -1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))) (/.f64 1/32 (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3))))
(+.f64 (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x)) (-.f64 (/.f64 -3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (/.f64 (*.f64 1/32 (/.f64 2 (sqrt.f64 1/2))) (*.f64 x x))))
(+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 -3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x) (/.f64 (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) x) x))))
(+.f64 (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x)) (+.f64 (/.f64 -3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) (*.f64 x x))))
(sqrt.f64 1/2)
(-.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
(-.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x))
(-.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))
(-.f64 (-.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))) (/.f64 1/32 (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3))))
(-.f64 (sqrt.f64 1/2) (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)) (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x)))
(+.f64 (/.f64 -1/4 (*.f64 x (sqrt.f64 1/2))) (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) x) x)))
(+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 (/.f64 -1/4 x) (sqrt.f64 1/2)) (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) (*.f64 x x))))
(-.f64 (+.f64 (sqrt.f64 1/2) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))
(+.f64 (sqrt.f64 1/2) (-.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 4)) -1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (/.f64 1/32 (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3))))))
(-.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)) (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x)))
(+.f64 (/.f64 3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (+.f64 (/.f64 -1/4 (*.f64 x (sqrt.f64 1/2))) (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) x) x))))
(+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 (/.f64 -1/4 x) (sqrt.f64 1/2)) (+.f64 (/.f64 3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) (*.f64 x x)))))
1/2
(+.f64 1/2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 (*.f64 x x) -1/4))
(fma.f64 (*.f64 x x) -1/4 1/2)
(fma.f64 x (*.f64 x -1/4) 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 3/16 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/4 (*.f64 x x) (*.f64 (pow.f64 x 4) 3/16)))
(+.f64 1/2 (fma.f64 (*.f64 x x) -1/4 (*.f64 (pow.f64 x 4) 3/16)))
(fma.f64 x (*.f64 x -1/4) (fma.f64 (pow.f64 x 4) 3/16 1/2))
(+.f64 1/2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -5/32 (pow.f64 x 6)) (*.f64 3/16 (pow.f64 x 4)))))
(+.f64 1/2 (fma.f64 -1/4 (*.f64 x x) (fma.f64 -5/32 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 3/16))))
(+.f64 1/2 (fma.f64 (*.f64 x x) -1/4 (fma.f64 (pow.f64 x 4) 3/16 (*.f64 (pow.f64 x 6) -5/32))))
(+.f64 1/2 (fma.f64 x (*.f64 x -1/4) (fma.f64 (pow.f64 x 4) 3/16 (*.f64 (pow.f64 x 6) -5/32))))
(+.f64 1/2 (fma.f64 (pow.f64 x 4) 3/16 (fma.f64 (pow.f64 x 6) -5/32 (*.f64 (*.f64 x x) -1/4))))
(/.f64 1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1/2 x) (/.f64 1/4 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (/.f64 -1/4 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 3/16 (pow.f64 x 5)) (-.f64 (/.f64 1/2 x) (/.f64 1/4 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (-.f64 (/.f64 3/16 (pow.f64 x 5)) (/.f64 1/4 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 3/16 (pow.f64 x 5)) (/.f64 -1/4 (pow.f64 x 3))))
(+.f64 (/.f64 3/16 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 -1/4 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 3))) (*.f64 5/32 (/.f64 1 (pow.f64 x 7)))))
(+.f64 (/.f64 3/16 (pow.f64 x 5)) (-.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 5/32 (pow.f64 x 7)))))
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5))) (-.f64 (/.f64 -1/4 (pow.f64 x 3)) (/.f64 5/32 (pow.f64 x 7))))
(+.f64 (/.f64 -1/4 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (-.f64 (/.f64 3/16 (pow.f64 x 5)) (/.f64 5/32 (pow.f64 x 7)))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 -1/4 (pow.f64 x 3)) (+.f64 (/.f64 3/16 (pow.f64 x 5)) (/.f64 -5/32 (pow.f64 x 7)))))
(/.f64 -1/2 x)
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -3/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (-.f64 (/.f64 -3/16 (pow.f64 x 5)) (/.f64 1/2 x)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 3))) (*.f64 5/32 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 5/32 (pow.f64 x 7))) (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (-.f64 (/.f64 5/32 (pow.f64 x 7)) (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5)))))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (/.f64 5/32 (pow.f64 x 7)) (+.f64 (/.f64 -1/2 x) (/.f64 -3/16 (pow.f64 x 5)))))
(-.f64 (/.f64 -3/16 (pow.f64 x 5)) (+.f64 (/.f64 -1/4 (pow.f64 x 3)) (-.f64 (/.f64 1/2 x) (/.f64 5/32 (pow.f64 x 7)))))

eval95.0ms (1.3%)

Compiler

Compiled 3745 to 3361 computations (10.3% saved)

prune34.0ms (0.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New19212204
Fresh000
Picked011
Done000
Total19213205
Error
0.0b
Counts
205 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
32.3b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
▶47.0b
(-.f64 1 (fma.f64 x (*.f64 x -1/8) 1))
15.9b
(expm1.f64 (log1p.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
15.4b
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
15.9b
(-.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3/2))
32.3b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
16.5b
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3)
▶31.4b
(-.f64 1 (sqrt.f64 1/2))
▶47.0b
(-.f64 1 1)
▶15.4b
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
▶32.4b
(fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))
✓15.9b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
31.7b
(*.f64 1/8 (*.f64 x x))
Compiler

Compiled 277 to 244 computations (11.9% saved)

localize33.0ms (0.4%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
0.0b
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
0.0b
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
0.0b
(/.f64 1/2 (hypot.f64 1 x))
✓0.0b
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
✓0.0b
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
✓0.0b
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
✓1.5b
(-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
Compiler

Compiled 82 to 71 computations (13.4% saved)

series9.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
1.0ms
x
@inf
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
1.0ms
x
@-inf
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
1.0ms
x
@0
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
1.0ms
x
@-inf
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))

rewrite93.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
631×log-prod_binary64
504×prod-diff_binary64
323×fma-def_binary64
243×log-div_binary64
236×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01282
127958
2395458
Stop Event
1×node limit
Counts
4 → 202
Calls
Call 1
Inputs
(-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 -1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2))) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/2 (hypot.f64 1 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 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simplify61.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
749×times-frac_binary64
655×associate-*l*_binary64
421×associate-/l*_binary64
263×associate-*r/_binary64
259×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02732189
19031896
232471837
Stop Event
1×node limit
Counts
250 → 287
Calls
Call 1
Inputs
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -3/16 (pow.f64 x 4)))
(+.f64 (*.f64 5/32 (pow.f64 x 6)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -3/16 (pow.f64 x 4))))
(+.f64 (*.f64 5/32 (pow.f64 x 6)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 -3/16 (pow.f64 x 4)) (*.f64 -35/256 (pow.f64 x 8)))))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 1/2 (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 1/2 (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 3/16 (/.f64 1 (pow.f64 x 5)))))
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) 1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (+.f64 (*.f64 -1843/32768 (pow.f64 x 8)) (*.f64 -11/128 (pow.f64 x 4)))))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x)))
(-.f64 (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x)))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))))))
(-.f64 (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x)) (*.f64 1/4 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (pow.f64 x 3))))))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))))) (+.f64 (*.f64 1/32 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 3))))) (+.f64 (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 3)))))) (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1)))) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))))))))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(+.f64 (/.f64 1/8 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 1 (sqrt.f64 1/2)) x)))) (+.f64 (/.f64 1/2 (*.f64 (+.f64 (sqrt.f64 1/2) 1) x)) (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) x))) (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 1 (sqrt.f64 1/2)) x)))))))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) x))) (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (+.f64 (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1)))) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (sqrt.f64 1/2)))) (+.f64 (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 1/32 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (pow.f64 (sqrt.f64 1/2) 3))))))) (pow.f64 x 3))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 1 (sqrt.f64 1/2)) x))))))))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))))))
2
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) 2)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 2 (*.f64 11/128 (pow.f64 x 4))))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -69/1024 (pow.f64 x 6)) (+.f64 2 (*.f64 11/128 (pow.f64 x 4)))))
(+.f64 1 (sqrt.f64 1/2))
(+.f64 (sqrt.f64 1/2) (+.f64 1 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 1 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 (sqrt.f64 1/2) (+.f64 1 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(+.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 1 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))
(/.f64 8 (pow.f64 x 2))
(+.f64 11/2 (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(+.f64 11/2 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2))))
(+.f64 11/2 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 69/256 (pow.f64 x 4)) (*.f64 -17/32 (pow.f64 x 2)))))
(*.f64 2 (+.f64 (sqrt.f64 1/2) 1))
(-.f64 (+.f64 (*.f64 2 (+.f64 (sqrt.f64 1/2) 1)) (/.f64 1/2 (*.f64 (sqrt.f64 1/2) x))) (*.f64 -2 (/.f64 (+.f64 1 (sqrt.f64 1/2)) x)))
(-.f64 (+.f64 (*.f64 2 (+.f64 (sqrt.f64 1/2) 1)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 -1 (-.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))) (*.f64 -2 (+.f64 (sqrt.f64 1/2) 1))))) (pow.f64 x 2))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))) (*.f64 -2 (/.f64 (+.f64 1 (sqrt.f64 1/2)) x)))
(-.f64 (+.f64 (*.f64 2 (+.f64 (sqrt.f64 1/2) 1)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 -1 (-.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))) (*.f64 -2 (+.f64 (sqrt.f64 1/2) 1))))) (pow.f64 x 2))) (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (*.f64 -2 (/.f64 (+.f64 1 (sqrt.f64 1/2)) x)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))) (*.f64 -2 (+.f64 1 (sqrt.f64 1/2)))) (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 3)))) (/.f64 (sqrt.f64 1/2) (pow.f64 x 3))))))))
(*.f64 2 (+.f64 (sqrt.f64 1/2) 1))
(+.f64 (*.f64 2 (+.f64 (sqrt.f64 1/2) 1)) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))) (*.f64 -2 (+.f64 1 (sqrt.f64 1/2)))) x)))
(+.f64 (*.f64 2 (+.f64 (sqrt.f64 1/2) 1)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))) (*.f64 -2 (+.f64 1 (sqrt.f64 1/2)))) x)) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 -1 (-.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))) (*.f64 -2 (+.f64 (sqrt.f64 1/2) 1))))) (pow.f64 x 2)))))
(+.f64 (*.f64 2 (+.f64 (sqrt.f64 1/2) 1)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))) (*.f64 -2 (+.f64 1 (sqrt.f64 1/2)))) x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 -1 (-.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))) (*.f64 -2 (+.f64 (sqrt.f64 1/2) 1))))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 5))) (+.f64 (sqrt.f64 1/2) (+.f64 1 (+.f64 (*.f64 1/4 (/.f64 1 (sqrt.f64 1/2))) (+.f64 (*.f64 -1 (-.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))) (*.f64 -2 (+.f64 1 (sqrt.f64 1/2))))) (*.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3)))))))) (pow.f64 x 3))))))
Outputs
(*.f64 1/4 (pow.f64 x 2))
(*.f64 1/4 (*.f64 x x))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -3/16 (pow.f64 x 4)))
(fma.f64 1/4 (*.f64 x x) (*.f64 -3/16 (pow.f64 x 4)))
(fma.f64 1/4 (*.f64 x x) (*.f64 (pow.f64 x 4) -3/16))
(fma.f64 (pow.f64 x 4) -3/16 (*.f64 1/4 (*.f64 x x)))
(+.f64 (*.f64 5/32 (pow.f64 x 6)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -3/16 (pow.f64 x 4))))
(fma.f64 5/32 (pow.f64 x 6) (fma.f64 1/4 (*.f64 x x) (*.f64 -3/16 (pow.f64 x 4))))
(fma.f64 5/32 (pow.f64 x 6) (fma.f64 1/4 (*.f64 x x) (*.f64 (pow.f64 x 4) -3/16)))
(fma.f64 5/32 (pow.f64 x 6) (fma.f64 (pow.f64 x 4) -3/16 (*.f64 1/4 (*.f64 x x))))
(+.f64 (*.f64 5/32 (pow.f64 x 6)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 -3/16 (pow.f64 x 4)) (*.f64 -35/256 (pow.f64 x 8)))))
(fma.f64 5/32 (pow.f64 x 6) (fma.f64 1/4 (*.f64 x x) (fma.f64 -3/16 (pow.f64 x 4) (*.f64 -35/256 (pow.f64 x 8)))))
(fma.f64 5/32 (pow.f64 x 6) (fma.f64 1/4 (*.f64 x x) (fma.f64 (pow.f64 x 4) -3/16 (*.f64 -35/256 (pow.f64 x 8)))))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
(+.f64 1/2 (/.f64 -1/2 x))
(-.f64 (+.f64 1/2 (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 1/2 (-.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 1/2 x)))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 1/2 (/.f64 -1/2 x)))
(-.f64 (+.f64 1/2 (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 3/16 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 1/2 (/.f64 1/4 (pow.f64 x 3))) (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5))))
(-.f64 (+.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 1/2 (/.f64 -1/2 x))) (/.f64 3/16 (pow.f64 x 5)))
(+.f64 1/2 (+.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -3/16 (pow.f64 x 5)))))
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) 1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (-.f64 1/2 (/.f64 1/4 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (+.f64 1/2 (/.f64 -1/4 (pow.f64 x 3))))
(+.f64 1/2 (+.f64 (/.f64 1/2 x) (/.f64 -1/4 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (-.f64 (+.f64 1/2 (/.f64 3/16 (pow.f64 x 5))) (/.f64 1/4 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 3/16 (pow.f64 x 5)) (+.f64 1/2 (/.f64 -1/4 (pow.f64 x 3)))))
(+.f64 (/.f64 1/2 x) (+.f64 1/2 (-.f64 (/.f64 3/16 (pow.f64 x 5)) (/.f64 1/4 (pow.f64 x 3)))))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 (*.f64 x x) 1/8)
(*.f64 x (*.f64 x 1/8))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 1/8 (*.f64 x x) (*.f64 (pow.f64 x 4) -11/128))
(fma.f64 (*.f64 x x) 1/8 (*.f64 (pow.f64 x 4) -11/128))
(fma.f64 (pow.f64 x 4) -11/128 (*.f64 x (*.f64 x 1/8)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 69/1024 (pow.f64 x 6) (*.f64 (pow.f64 x 4) -11/128)))
(fma.f64 (*.f64 x x) 1/8 (fma.f64 (pow.f64 x 4) -11/128 (*.f64 (pow.f64 x 6) 69/1024)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (+.f64 (*.f64 -1843/32768 (pow.f64 x 8)) (*.f64 -11/128 (pow.f64 x 4)))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 69/1024 (pow.f64 x 6) (fma.f64 -1843/32768 (pow.f64 x 8) (*.f64 (pow.f64 x 4) -11/128))))
(fma.f64 (*.f64 x x) 1/8 (fma.f64 (pow.f64 x 6) 69/1024 (fma.f64 (pow.f64 x 4) -11/128 (*.f64 (pow.f64 x 8) -1843/32768))))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x)))
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(-.f64 (fma.f64 2 (+.f64 1 (sqrt.f64 1/2)) (fma.f64 -1 (/.f64 (fma.f64 -1 (+.f64 (/.f64 1/2 (sqrt.f64 1/2)) (*.f64 2 (+.f64 1 (sqrt.f64 1/2)))) (/.f64 1/16 (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 x x)) (+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 1/2))) (/.f64 1/64 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 5)))))) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (fma.f64 -2 (/.f64 (+.f64 1 (sqrt.f64 1/2)) x) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 1/2)) (*.f64 2 (+.f64 1 (sqrt.f64 1/2)))) (pow.f64 x 3)) (+.f64 (/.f64 1/16 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 3))) (/.f64 (sqrt.f64 1/2) (pow.f64 x 3)))))) (/.f64 1/4 (*.f64 (pow.f64 x 3) (sqrt.f64 1/2)))))
(+.f64 (-.f64 (fma.f64 2 (sqrt.f64 1/2) 2) (/.f64 (-.f64 (/.f64 1/8 (sqrt.f64 1/2)) (+.f64 (fma.f64 2 (sqrt.f64 1/2) 2) (/.f64 1/2 (sqrt.f64 1/2)))) (*.f64 x x))) (-.f64 (+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 1/2))) (/.f64 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 5)) (pow.f64 x 3))) (+.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) (pow.f64 x 3))) (-.f64 (/.f64 (fma.f64 (sqrt.f64 1/2) -2 -2) x) (/.f64 (+.f64 (fma.f64 2 (sqrt.f64 1/2) 2) (/.f64 1/2 (sqrt.f64 1/2))) (pow.f64 x 3)))) (+.f64 (/.f64 (/.f64 1/8 (sqrt.f64 1/2)) (pow.f64 x 3)) (/.f64 (sqrt.f64 1/2) (pow.f64 x 3))))))
(+.f64 (fma.f64 2 (sqrt.f64 1/2) 2) (+.f64 (-.f64 (+.f64 (/.f64 1/2 (*.f64 x (sqrt.f64 1/2))) (/.f64 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 5)) (pow.f64 x 3))) (/.f64 (+.f64 (/.f64 1/8 (sqrt.f64 1/2)) (+.f64 (fma.f64 (sqrt.f64 1/2) -2 -2) (/.f64 -1/2 (sqrt.f64 1/2)))) (*.f64 x x))) (-.f64 (/.f64 (/.f64 -1/4 (sqrt.f64 1/2)) (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 (+.f64 (fma.f64 (sqrt.f64 1/2) -2 -2) (/.f64 -1/2 (sqrt.f64 1/2))) (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1/8 (sqrt.f64 1/2)) (pow.f64 x 3)) (/.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (fma.f64 (sqrt.f64 1/2) -2 -2) x))))))
(*.f64 2 (+.f64 (sqrt.f64 1/2) 1))
(*.f64 2 (+.f64 1 (sqrt.f64 1/2)))
(fma.f64 2 (sqrt.f64 1/2) 2)
(+.f64 (*.f64 2 (+.f64 (sqrt.f64 1/2) 1)) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))) (*.f64 -2 (+.f64 1 (sqrt.f64 1/2)))) x)))
(fma.f64 2 (+.f64 1 (sqrt.f64 1/2)) (neg.f64 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 1/2)) (*.f64 2 (+.f64 1 (sqrt.f64 1/2)))) x)))
(-.f64 (fma.f64 2 (sqrt.f64 1/2) 2) (/.f64 (+.f64 (fma.f64 2 (sqrt.f64 1/2) 2) (/.f64 1/2 (sqrt.f64 1/2))) x))
(+.f64 (fma.f64 2 (sqrt.f64 1/2) 2) (/.f64 (+.f64 (fma.f64 (sqrt.f64 1/2) -2 -2) (/.f64 -1/2 (sqrt.f64 1/2))) x))
(+.f64 (*.f64 2 (+.f64 (sqrt.f64 1/2) 1)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))) (*.f64 -2 (+.f64 1 (sqrt.f64 1/2)))) x)) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 -1 (-.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))) (*.f64 -2 (+.f64 (sqrt.f64 1/2) 1))))) (pow.f64 x 2)))))
(fma.f64 2 (+.f64 1 (sqrt.f64 1/2)) (*.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 1/2)) (*.f64 2 (+.f64 1 (sqrt.f64 1/2)))) x) (/.f64 (fma.f64 -1 (+.f64 (/.f64 1/2 (sqrt.f64 1/2)) (*.f64 2 (+.f64 1 (sqrt.f64 1/2)))) (/.f64 1/16 (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 x x)))))
(-.f64 (-.f64 (fma.f64 2 (sqrt.f64 1/2) 2) (/.f64 (+.f64 (fma.f64 2 (sqrt.f64 1/2) 2) (/.f64 1/2 (sqrt.f64 1/2))) x)) (/.f64 (-.f64 (/.f64 1/8 (sqrt.f64 1/2)) (+.f64 (fma.f64 2 (sqrt.f64 1/2) 2) (/.f64 1/2 (sqrt.f64 1/2)))) (*.f64 x x)))
(+.f64 (fma.f64 2 (sqrt.f64 1/2) 2) (-.f64 (/.f64 (+.f64 (fma.f64 (sqrt.f64 1/2) -2 -2) (/.f64 -1/2 (sqrt.f64 1/2))) x) (/.f64 (+.f64 (/.f64 1/8 (sqrt.f64 1/2)) (+.f64 (fma.f64 (sqrt.f64 1/2) -2 -2) (/.f64 -1/2 (sqrt.f64 1/2)))) (*.f64 x x))))
(+.f64 (*.f64 2 (+.f64 (sqrt.f64 1/2) 1)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))) (*.f64 -2 (+.f64 1 (sqrt.f64 1/2)))) x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 -1 (-.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))) (*.f64 -2 (+.f64 (sqrt.f64 1/2) 1))))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 5))) (+.f64 (sqrt.f64 1/2) (+.f64 1 (+.f64 (*.f64 1/4 (/.f64 1 (sqrt.f64 1/2))) (+.f64 (*.f64 -1 (-.f64 (*.f64 1/2 (/.f64 1 (sqrt.f64 1/2))) (*.f64 -2 (+.f64 1 (sqrt.f64 1/2))))) (*.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3)))))))) (pow.f64 x 3))))))
(fma.f64 2 (+.f64 1 (sqrt.f64 1/2)) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/2 (sqrt.f64 1/2)) (*.f64 2 (+.f64 1 (sqrt.f64 1/2)))) x) (*.f64 -1 (+.f64 (/.f64 (fma.f64 -1 (+.f64 (/.f64 1/2 (sqrt.f64 1/2)) (*.f64 2 (+.f64 1 (sqrt.f64 1/2)))) (/.f64 1/16 (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 x x)) (/.f64 (-.f64 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 5)) (+.f64 (sqrt.f64 1/2) (+.f64 1 (+.f64 (/.f64 1/4 (sqrt.f64 1/2)) (fma.f64 -1 (+.f64 (/.f64 1/2 (sqrt.f64 1/2)) (*.f64 2 (+.f64 1 (sqrt.f64 1/2)))) (/.f64 1/16 (pow.f64 (sqrt.f64 1/2) 3))))))) (pow.f64 x 3))))))
(+.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 1/8 (sqrt.f64 1/2)) (+.f64 (fma.f64 2 (sqrt.f64 1/2) 2) (/.f64 1/2 (sqrt.f64 1/2)))) (*.f64 x x))) (/.f64 (-.f64 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 5)) (+.f64 (sqrt.f64 1/2) (+.f64 (-.f64 (/.f64 1/4 (sqrt.f64 1/2)) (+.f64 (fma.f64 2 (sqrt.f64 1/2) 2) (/.f64 1/2 (sqrt.f64 1/2)))) (+.f64 (/.f64 1/8 (sqrt.f64 1/2)) 1)))) (pow.f64 x 3))) (-.f64 (fma.f64 2 (sqrt.f64 1/2) 2) (/.f64 (+.f64 (fma.f64 2 (sqrt.f64 1/2) 2) (/.f64 1/2 (sqrt.f64 1/2))) x)))
(+.f64 (fma.f64 2 (sqrt.f64 1/2) 2) (-.f64 (/.f64 (+.f64 (fma.f64 (sqrt.f64 1/2) -2 -2) (/.f64 -1/2 (sqrt.f64 1/2))) x) (+.f64 (/.f64 (+.f64 (/.f64 1/8 (sqrt.f64 1/2)) (+.f64 (fma.f64 (sqrt.f64 1/2) -2 -2) (/.f64 -1/2 (sqrt.f64 1/2)))) (*.f64 x x)) (/.f64 (-.f64 (-.f64 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 5)) (sqrt.f64 1/2)) (+.f64 (-.f64 (/.f64 1/4 (sqrt.f64 1/2)) (+.f64 (fma.f64 2 (sqrt.f64 1/2) 2) (/.f64 1/2 (sqrt.f64 1/2)))) (+.f64 (/.f64 1/8 (sqrt.f64 1/2)) 1))) (pow.f64 x 3)))))

localize3.0ms (0%)

Compiler

Compiled 5 to 5 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
1.0b
(-.f64 1 (sqrt.f64 1/2))
✓1.0b
(-.f64 1 (sqrt.f64 1/2))
Compiler

Compiled 9 to 9 computations (0% saved)

series0.0ms (0%)

Counts
1 → 0

rewrite35.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
443×pow1_binary64
438×add-sqr-sqrt_binary64
426×*-un-lft-identity_binary64
418×add-log-exp_binary64
418×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
11046
211246
Stop Event
1×node limit
Counts
1 → 28
Calls
Call 1
Inputs
(-.f64 1 (sqrt.f64 1/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (sqrt.f64 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/2))) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/2))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 1/2))) (sqrt.f64 (-.f64 1 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 1/2 3/2)) (/.f64 1 (+.f64 3/2 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (sqrt.f64 1/2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 3/2 (sqrt.f64 1/2)) (-.f64 1 (pow.f64 1/2 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 1/2 3/2)) (+.f64 3/2 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (neg.f64 (+.f64 1 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 1/2 3/2))) (neg.f64 (+.f64 3/2 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (sqrt.f64 1/2)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 1/2))) (neg.f64 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (sqrt.f64 1/2)) (neg.f64 (sqrt.f64 1/2)))) (-.f64 1 (neg.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (sqrt.f64 1/2))))))))

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
28 → 28
Calls
Call 1
Inputs
Outputs

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
1.5b
(-.f64 1 (fma.f64 x (*.f64 x -1/8) 1))
✓1.5b
(-.f64 1 (fma.f64 x (*.f64 x -1/8) 1))
Compiler

Compiled 21 to 15 computations (28.6% saved)

series4.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(-.f64 1 (fma.f64 x (*.f64 x -1/8) 1))
1.0ms
x
@inf
(-.f64 1 (fma.f64 x (*.f64 x -1/8) 1))
1.0ms
x
@0
(-.f64 1 (fma.f64 x (*.f64 x -1/8) 1))

rewrite42.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
114511
2172611
Stop Event
1×node limit
Counts
1 → 28
Calls
Call 1
Inputs
(-.f64 1 (fma.f64 x (*.f64 x -1/8) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (fma.f64 x (*.f64 x -1/8) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (fma.f64 x (*.f64 x -1/8) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (fma.f64 x (*.f64 x -1/8) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (fma.f64 x (*.f64 x -1/8) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/8) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/8) 1))) (pow.f64 (cbrt.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/8) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/8) 1))) 2) (cbrt.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/8) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/8) 1))) (sqrt.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/8) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/8) 1) 3)) (/.f64 1 (+.f64 1 (*.f64 (fma.f64 x (*.f64 x -1/8) 1) (+.f64 1 (fma.f64 x (*.f64 x -1/8) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/8) 1) 2)) (/.f64 1 (+.f64 1 (fma.f64 x (*.f64 x -1/8) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (fma.f64 x (*.f64 x -1/8) 1) (+.f64 1 (fma.f64 x (*.f64 x -1/8) 1)))) (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/8) 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (fma.f64 x (*.f64 x -1/8) 1)) (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/8) 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/8) 1) 3)) (+.f64 1 (*.f64 (fma.f64 x (*.f64 x -1/8) 1) (+.f64 1 (fma.f64 x (*.f64 x -1/8) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/8) 1) 2)) (+.f64 1 (fma.f64 x (*.f64 x -1/8) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/8) 1) 3))) (neg.f64 (+.f64 1 (*.f64 (fma.f64 x (*.f64 x -1/8) 1) (+.f64 1 (fma.f64 x (*.f64 x -1/8) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 x (*.f64 x -1/8) 1) 2))) (neg.f64 (+.f64 1 (fma.f64 x (*.f64 x -1/8) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (fma.f64 x (*.f64 x -1/8) 1)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 x -1/8) 1)) (neg.f64 (fma.f64 x (*.f64 x -1/8) 1))) (neg.f64 (fma.f64 x (*.f64 x -1/8) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (fma.f64 x (*.f64 x -1/8) 1)) (neg.f64 (fma.f64 x (*.f64 x -1/8) 1)))) (-.f64 1 (neg.f64 (fma.f64 x (*.f64 x -1/8) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/8) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/8) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/8) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/8) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/8) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/8) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/8) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/8) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (fma.f64 x (*.f64 x -1/8) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (fma.f64 x (*.f64 x -1/8) 1))))))))

simplify135.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
1108×sqr-pow_binary64
618×cube-prod_binary64
555×fabs-mul_binary64
536×pow-sqr_binary64
451×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11284
22384
34484
410684
531584
6123584
7211684
8228084
9246484
10267284
11296384
12335684
13383484
14439584
15507784
16591284
17630884
18660284
19688084
20695084
21698484
22792584
Stop Event
1×node limit
Counts
40 → 30
Calls
Call 1
Inputs
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
Outputs
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
17.3b
(fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))
0.1b
(*.f64 -11/128 (pow.f64 x 4))
✓0.1b
(*.f64 -11/128 (pow.f64 x 4))
✓17.3b
(fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))
Compiler

Compiled 26 to 17 computations (34.6% saved)

series3.0ms (0%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))
1.0ms
x
@inf
(fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))
0.0ms
x
@0
(*.f64 -11/128 (pow.f64 x 4))
0.0ms
x
@-inf
(fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))
0.0ms
x
@inf
(*.f64 -11/128 (pow.f64 x 4))

rewrite49.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
730×pow1_binary64
683×add-log-exp_binary64
683×log1p-expm1-u_binary64
683×expm1-log1p-u_binary64
669×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
118621
2193321
Stop Event
1×node limit
Counts
2 → 32
Calls
Call 1
Inputs
(fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))
(*.f64 -11/128 (pow.f64 x 4))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 (*.f64 1/8 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/8 x) x) (*.f64 -11/128 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 1/8 x) x) 1) (*.f64 -11/128 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 1/8 x) x) 3) (pow.f64 (*.f64 -11/128 (pow.f64 x 4)) 3)) (+.f64 (*.f64 (*.f64 (*.f64 1/8 x) x) (*.f64 (*.f64 1/8 x) x)) (-.f64 (*.f64 121/16384 (pow.f64 x 8)) (*.f64 (*.f64 (*.f64 1/8 x) x) (*.f64 -11/128 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (*.f64 1/8 x) x) (*.f64 (*.f64 1/8 x) x)) (*.f64 121/16384 (pow.f64 x 8))) (-.f64 (*.f64 (*.f64 1/8 x) x) (*.f64 -11/128 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -11/128 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -11/128 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -11/128 (pow.f64 x 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -11/128 (pow.f64 x 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 -11/128)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 121/16384 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -11/128) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -11/128 (pow.f64 x 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -11/128 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -11/128 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -11/128 (pow.f64 x 4))))))))

simplify143.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
1075×sqr-pow_binary64
538×fma-def_binary64
520×pow-sqr_binary64
444×cube-prod_binary64
419×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011147
122147
245147
3111147
4357147
51395147
62628147
73090147
83259147
93458147
103731147
114088147
124539147
135065147
145689147
156438147
166748147
176970147
187164147
197218147
207240147
Stop Event
1×node limit
Counts
44 → 37
Calls
Call 1
Inputs
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(*.f64 -11/128 (pow.f64 x 4))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(*.f64 -11/128 (pow.f64 x 4))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
Outputs
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -11/128 1/8)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -11/128) 1/8)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -11/128) 1/8))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -11/128 1/8)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -11/128) 1/8)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -11/128) 1/8))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -11/128 1/8)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -11/128) 1/8)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -11/128) 1/8))
(*.f64 -11/128 (pow.f64 x 4))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -11/128 1/8)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -11/128) 1/8)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -11/128) 1/8))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -11/128 1/8)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -11/128) 1/8)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -11/128) 1/8))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -11/128 1/8)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -11/128) 1/8)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -11/128) 1/8))
(*.f64 -11/128 (pow.f64 x 4))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -11/128 1/8)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -11/128) 1/8)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -11/128) 1/8))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -11/128 1/8)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -11/128) 1/8)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -11/128) 1/8))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -11/128 1/8)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -11/128) 1/8)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -11/128) 1/8))

eval276.0ms (3.7%)

Compiler

Compiled 10552 to 9433 computations (10.6% saved)

prune80.0ms (1.1%)

Pruning

17 alts after pruning (13 fresh and 4 done)

PrunedKeptTotal
New3757382
Fresh167
Picked101
Done145
Total37817395
Error
0b
Counts
395 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
▶30.9b
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
16.5b
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3)
15.9b
(/.f64 1 (+.f64 0 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
16.1b
(/.f64 1 (/.f64 (-.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
✓15.4b
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
▶31.8b
(/.f64 1 (+.f64 11/2 (fma.f64 (*.f64 x x) -17/32 (/.f64 (/.f64 8 x) x))))
✓15.9b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
26.4b
(/.f64 1 (+.f64 11/2 (/.f64 (/.f64 8 x) x)))
31.3b
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 1/2 (/.f64 1/2 x))))
▶15.9b
(-.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3/2))
32.3b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
32.0b
(/.f64 1 (/.f64 (/.f64 8 x) x))
✓31.4b
(-.f64 1 (sqrt.f64 1/2))
32.3b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
▶15.4b
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
✓47.0b
(-.f64 1 1)
▶31.7b
(*.f64 1/8 (*.f64 x x))
Compiler

Compiled 381 to 336 computations (11.8% saved)

localize30.0ms (0.4%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
0.0b
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
0.0b
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
0.0b
(/.f64 1/2 (hypot.f64 1 x))
0.0b
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
0.0b
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
✓0.0b
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
1.5b
(-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
Compiler

Compiled 62 to 53 computations (14.5% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
1.0ms
x
@inf
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
0.0ms
x
@0
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))

rewrite123.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
614×prod-diff_binary64
582×log-prod_binary64
325×fma-def_binary64
228×log-div_binary64
219×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01127
125415
2364315
Stop Event
1×node limit
Counts
1 → 144
Calls
Call 1
Inputs
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (sqrt.f64 (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 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simplify69.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
626×times-frac_binary64
532×associate-*l*_binary64
521×fma-def_binary64
374×associate-*r*_binary64
304×div-sub_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01321158
1433965
21616882
37588867
Stop Event
1×node limit
Counts
156 → 165
Calls
Call 1
Inputs
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (+.f64 (*.f64 -1843/32768 (pow.f64 x 8)) (*.f64 -11/128 (pow.f64 x 4)))))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x)))
(-.f64 (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x)))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))))))
(-.f64 (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x)) (*.f64 1/4 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (pow.f64 x 3))))))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))))) (+.f64 (*.f64 1/32 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 3))))) (+.f64 (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 3)))))) (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1)))) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))))))))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(+.f64 (/.f64 1/8 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 1 (sqrt.f64 1/2)) x)))) (+.f64 (/.f64 1/2 (*.f64 (+.f64 (sqrt.f64 1/2) 1) x)) (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) x))) (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 1 (sqrt.f64 1/2)) x)))))))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) x))) (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (+.f64 (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1)))) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (sqrt.f64 1/2)))) (+.f64 (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 1/32 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (pow.f64 (sqrt.f64 1/2) 3))))))) (pow.f64 x 3))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 1 (sqrt.f64 1/2)) x))))))))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))))))
Outputs
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (*.f64 x x)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -11/128 (pow.f64 x 4) (*.f64 69/1024 (pow.f64 x 6))))
(fma.f64 -11/128 (pow.f64 x 4) (fma.f64 69/1024 (pow.f64 x 6) (*.f64 1/8 (*.f64 x x))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (+.f64 (*.f64 -1843/32768 (pow.f64 x 8)) (*.f64 -11/128 (pow.f64 x 4)))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 69/1024 (pow.f64 x 6) (fma.f64 -1843/32768 (pow.f64 x 8) (*.f64 -11/128 (pow.f64 x 4)))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 69/1024 (pow.f64 x 6) (fma.f64 -11/128 (pow.f64 x 4) (*.f64 -1843/32768 (pow.f64 x 8)))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -1843/32768 (pow.f64 x 8)))))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x)))
(+.f64 (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (neg.f64 (/.f64 (+.f64 (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (/.f64 1/8 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 (sqrt.f64 1/2) 1))))) x)))
(-.f64 (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (/.f64 (+.f64 (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (/.f64 1/8 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1/2 (sqrt.f64 1/2))))) x))
(-.f64 (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x)))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))))))
(+.f64 (/.f64 1/64 (*.f64 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (pow.f64 (sqrt.f64 1/2) 3)) (*.f64 (*.f64 x x) (+.f64 (sqrt.f64 1/2) 1)))) (-.f64 (+.f64 (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (neg.f64 (/.f64 (+.f64 (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (/.f64 1/8 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 (sqrt.f64 1/2) 1))))) x))) (/.f64 (*.f64 -1/4 (+.f64 (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (/.f64 1/8 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 (sqrt.f64 1/2) 1)))))) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (*.f64 x x) (sqrt.f64 1/2))))))
(+.f64 (-.f64 (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (/.f64 (+.f64 (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (/.f64 1/8 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1/2 (sqrt.f64 1/2))))) x)) (-.f64 (/.f64 1/64 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (*.f64 x x) (+.f64 (*.f64 1/2 (sqrt.f64 1/2)) 1/4)))) (*.f64 (/.f64 -1/4 (+.f64 1/2 (sqrt.f64 1/2))) (/.f64 (+.f64 (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (/.f64 1/8 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1/2 (sqrt.f64 1/2))))) (*.f64 x x)))))
(+.f64 (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (-.f64 (+.f64 (/.f64 (+.f64 (/.f64 -1/2 (+.f64 (sqrt.f64 1/2) 1)) (/.f64 -1/8 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1/2 (sqrt.f64 1/2))))) x) (/.f64 1/64 (*.f64 (fma.f64 x (sqrt.f64 1/2) x) (*.f64 x (fma.f64 1/2 (sqrt.f64 1/2) 1/4))))) (/.f64 (/.f64 (+.f64 (/.f64 -1/8 (+.f64 (sqrt.f64 1/2) 1)) (/.f64 -1/32 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1/2 (sqrt.f64 1/2))))) (+.f64 1/2 (sqrt.f64 1/2))) (*.f64 x x))))
(+.f64 (-.f64 (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (/.f64 (+.f64 (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (/.f64 1/8 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1/2 (sqrt.f64 1/2))))) x)) (/.f64 (-.f64 (/.f64 1/64 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (fma.f64 1/2 (sqrt.f64 1/2) 1/4))) (/.f64 (+.f64 (/.f64 -1/8 (+.f64 (sqrt.f64 1/2) 1)) (/.f64 -1/32 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1/2 (sqrt.f64 1/2))))) (+.f64 1/2 (sqrt.f64 1/2)))) (*.f64 x x)))
(-.f64 (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x)) (*.f64 1/4 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (pow.f64 x 3))))))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))))) (+.f64 (*.f64 1/32 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 3))))) (+.f64 (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 3)))))) (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1)))) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))))))))
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(+.f64 (/.f64 1/2 (fma.f64 x (sqrt.f64 1/2) x)) (+.f64 (-.f64 (/.f64 (/.f64 1/8 (+.f64 1/2 (sqrt.f64 1/2))) (fma.f64 x (sqrt.f64 1/2) x)) (/.f64 (-.f64 (/.f64 1/4 (+.f64 (sqrt.f64 1/2) 1)) (+.f64 (/.f64 (+.f64 (/.f64 1/64 (+.f64 (sqrt.f64 1/2) 1)) (/.f64 1/256 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1/2 (sqrt.f64 1/2))))) (fma.f64 1/2 (sqrt.f64 1/2) 1/4)) (*.f64 (/.f64 1/4 (+.f64 (sqrt.f64 1/2) 1)) (+.f64 (-.f64 (/.f64 (/.f64 1/64 (fma.f64 1/2 (sqrt.f64 1/2) 1/4)) (+.f64 1/2 (sqrt.f64 1/2))) (/.f64 (+.f64 (/.f64 -1/8 (+.f64 (sqrt.f64 1/2) 1)) (/.f64 -1/32 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1/2 (sqrt.f64 1/2))))) (+.f64 1/2 (*.f64 1/2 (sqrt.f64 1/2))))) (/.f64 -3/16 (+.f64 1/2 (sqrt.f64 1/2))))))) (pow.f64 x 3))) (+.f64 (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (/.f64 (-.f64 (/.f64 1/64 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (fma.f64 1/2 (sqrt.f64 1/2) 1/4))) (/.f64 (+.f64 (/.f64 -1/8 (+.f64 (sqrt.f64 1/2) 1)) (/.f64 -1/32 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1/2 (sqrt.f64 1/2))))) (+.f64 1/2 (sqrt.f64 1/2)))) (*.f64 x x)))))

localize14.0ms (0.2%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize7.0ms (0.1%)

Compiler

Compiled 15 to 15 computations (0% saved)

localize22.0ms (0.3%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.6b
(/.f64 1 (+.f64 11/2 (fma.f64 (*.f64 x x) -17/32 (/.f64 (/.f64 8 x) x))))
0.1b
(/.f64 (/.f64 8 x) x)
0.1b
(fma.f64 (*.f64 x x) -17/32 (/.f64 (/.f64 8 x) x))
0.0b
(+.f64 11/2 (fma.f64 (*.f64 x x) -17/32 (/.f64 (/.f64 8 x) x)))
✓0.0b
(+.f64 11/2 (fma.f64 (*.f64 x x) -17/32 (/.f64 (/.f64 8 x) x)))
✓0.1b
(fma.f64 (*.f64 x x) -17/32 (/.f64 (/.f64 8 x) x))
✓0.1b
(/.f64 (/.f64 8 x) x)
✓0.6b
(/.f64 1 (+.f64 11/2 (fma.f64 (*.f64 x x) -17/32 (/.f64 (/.f64 8 x) x))))
Compiler

Compiled 53 to 32 computations (39.6% saved)

series5.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 1 (+.f64 11/2 (fma.f64 (*.f64 x x) -17/32 (/.f64 (/.f64 8 x) x))))
1.0ms
x
@0
(/.f64 1 (+.f64 11/2 (fma.f64 (*.f64 x x) -17/32 (/.f64 (/.f64 8 x) x))))
0.0ms
x
@0
(/.f64 (/.f64 8 x) x)
0.0ms
x
@-inf
(/.f64 1 (+.f64 11/2 (fma.f64 (*.f64 x x) -17/32 (/.f64 (/.f64 8 x) x))))
0.0ms
x
@inf
(fma.f64 (*.f64 x x) -17/32 (/.f64 (/.f64 8 x) x))

rewrite75.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
524×log-prod_binary64
310×pow2_binary64
288×pow-prod-down_binary64
265×prod-diff_binary64
216×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01258
126558
2329954
Stop Event
1×node limit
Counts
4 → 159
Calls
Call 1
Inputs
(/.f64 1 (+.f64 11/2 (fma.f64 (*.f64 x x) -17/32 (/.f64 (/.f64 8 x) x))))
(/.f64 (/.f64 8 x) x)
(fma.f64 (*.f64 x x) -17/32 (/.f64 (/.f64 8 x) x))
(+.f64 11/2 (fma.f64 (*.f64 x x) -17/32 (/.f64 (/.f64 8 x) x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)))) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)) -1/2) (pow.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2))) -2) (cbrt.f64 (/.f64 1 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1331/8 (pow.f64 (fma.f64 8 (pow.f64 x -2) (*.f64 x (*.f64 x -17/32))) 3))) (fma.f64 (fma.f64 8 (pow.f64 x -2) (*.f64 x (*.f64 x -17/32))) (-.f64 (fma.f64 8 (pow.f64 x -2) (*.f64 x (*.f64 x -17/32))) 11/2) 121/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 121/4 (pow.f64 (fma.f64 8 (pow.f64 x -2) (*.f64 x (*.f64 x -17/32))) 2))) (-.f64 11/2 (fma.f64 8 (pow.f64 x -2) (*.f64 x (*.f64 x -17/32)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x 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-17/32)))) (-.f64 121/4 (pow.f64 (fma.f64 8 (pow.f64 x -2) (*.f64 x (*.f64 x -17/32))) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 8 (pow.f64 x -2) (*.f64 x (*.f64 x -17/32))) 11/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x -17/32)) (fma.f64 8 (pow.f64 x -2) 11/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) -17/32 (fma.f64 8 (pow.f64 x -2) 11/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -17/32 (*.f64 x x) (fma.f64 8 (pow.f64 x -2) 11/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 8 (pow.f64 x -2) (*.f64 x (*.f64 x -17/32))) 1 11/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) -17/32) (fma.f64 8 (pow.f64 x -2) 11/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 8 (pow.f64 x -2) (*.f64 x (*.f64 x -17/32)))) (pow.f64 (cbrt.f64 (fma.f64 8 (pow.f64 x -2) (*.f64 x (*.f64 x -17/32)))) 2) 11/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 8 (pow.f64 x -2) (*.f64 x (*.f64 x -17/32)))) 2) (cbrt.f64 (fma.f64 8 (pow.f64 x -2) (*.f64 x (*.f64 x -17/32)))) 11/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 8 (pow.f64 x -2) (*.f64 x (*.f64 x -17/32)))) (sqrt.f64 (fma.f64 8 (pow.f64 x -2) (*.f64 x (*.f64 x -17/32)))) 11/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -17/32))) 2) (cbrt.f64 (*.f64 x (*.f64 x -17/32))) (fma.f64 8 (pow.f64 x -2) 11/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (*.f64 x -17/32))) (sqrt.f64 (*.f64 x (*.f64 x -17/32))) (fma.f64 8 (pow.f64 x -2) 11/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2))))))))

simplify45.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
519×fma-def_binary64
478×distribute-lft-out_binary64
448×distribute-neg-frac_binary64
440×associate-/r*_binary64
413×unswap-sqr_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
056660
1140614
2360614
31134614
44692614
Stop Event
1×node limit
Counts
207 → 188
Calls
Call 1
Inputs
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 -1705/32768 (pow.f64 x 8)))))
(/.f64 -32/17 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 5632/289 (/.f64 1 (pow.f64 x 4))) (*.f64 32/17 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 32/17 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1130496/4913 (/.f64 1 (pow.f64 x 6))) (*.f64 5632/289 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (*.f64 223477760/83521 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 32/17 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1130496/4913 (/.f64 1 (pow.f64 x 6))) (*.f64 5632/289 (/.f64 1 (pow.f64 x 4)))))))
(/.f64 -32/17 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 5632/289 (/.f64 1 (pow.f64 x 4))) (*.f64 32/17 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 32/17 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1130496/4913 (/.f64 1 (pow.f64 x 6))) (*.f64 5632/289 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (*.f64 223477760/83521 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 32/17 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1130496/4913 (/.f64 1 (pow.f64 x 6))) (*.f64 5632/289 (/.f64 1 (pow.f64 x 4)))))))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(*.f64 -17/32 (pow.f64 x 2))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(*.f64 -17/32 (pow.f64 x 2))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(/.f64 8 (pow.f64 x 2))
(+.f64 11/2 (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(+.f64 11/2 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2))))
(+.f64 11/2 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2))))
(*.f64 -17/32 (pow.f64 x 2))
(+.f64 11/2 (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (+.f64 11/2 (*.f64 -17/32 (pow.f64 x 2))))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (+.f64 11/2 (*.f64 -17/32 (pow.f64 x 2))))
(*.f64 -17/32 (pow.f64 x 2))
(+.f64 11/2 (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (+.f64 11/2 (*.f64 -17/32 (pow.f64 x 2))))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (+.f64 11/2 (*.f64 -17/32 (pow.f64 x 2))))
Outputs
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -11/128) 1/8)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -11/128 1/8)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -11/128 (pow.f64 x 4) (*.f64 69/1024 (pow.f64 x 6))))
(fma.f64 -11/128 (pow.f64 x 4) (fma.f64 69/1024 (pow.f64 x 6) (*.f64 1/8 (*.f64 x x))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 -1705/32768 (pow.f64 x 8)))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 69/1024 (pow.f64 x 6) (fma.f64 -11/128 (pow.f64 x 4) (*.f64 -1705/32768 (pow.f64 x 8)))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -1705/32768 (pow.f64 x 8)))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -11/128) 1/8) (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -1705/32768 (pow.f64 x 8))))
(fma.f64 -11/128 (pow.f64 x 4) (fma.f64 -1705/32768 (pow.f64 x 8) (fma.f64 69/1024 (pow.f64 x 6) (*.f64 1/8 (*.f64 x x)))))
(/.f64 -32/17 (pow.f64 x 2))
(/.f64 -32/17 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 5632/289 (/.f64 1 (pow.f64 x 4))) (*.f64 32/17 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 5632/289 (pow.f64 x 4)) (/.f64 32/17 (*.f64 x x))))
(+.f64 (/.f64 -32/17 (*.f64 x x)) (/.f64 -5632/289 (pow.f64 x 4)))
(-.f64 (/.f64 -5632/289 (pow.f64 x 4)) (/.f64 32/17 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 32/17 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1130496/4913 (/.f64 1 (pow.f64 x 6))) (*.f64 5632/289 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (/.f64 32/17 (*.f64 x x)) (+.f64 (/.f64 5632/289 (pow.f64 x 4)) (/.f64 1130496/4913 (pow.f64 x 6)))))
(-.f64 (/.f64 -32/17 (*.f64 x x)) (+.f64 (/.f64 5632/289 (pow.f64 x 4)) (/.f64 1130496/4913 (pow.f64 x 6))))
(+.f64 (/.f64 -32/17 (*.f64 x x)) (+.f64 (/.f64 -5632/289 (pow.f64 x 4)) (/.f64 -1130496/4913 (pow.f64 x 6))))
(+.f64 (/.f64 -5632/289 (pow.f64 x 4)) (+.f64 (/.f64 -32/17 (*.f64 x x)) (/.f64 -1130496/4913 (pow.f64 x 6))))
(neg.f64 (+.f64 (*.f64 223477760/83521 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 32/17 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1130496/4913 (/.f64 1 (pow.f64 x 6))) (*.f64 5632/289 (/.f64 1 (pow.f64 x 4)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 32/17 (*.f64 x x)) (+.f64 (/.f64 5632/289 (pow.f64 x 4)) (/.f64 1130496/4913 (pow.f64 x 6)))) (/.f64 223477760/83521 (pow.f64 x 8))))
(-.f64 (/.f64 -223477760/83521 (pow.f64 x 8)) (+.f64 (/.f64 5632/289 (pow.f64 x 4)) (+.f64 (/.f64 32/17 (*.f64 x x)) (/.f64 1130496/4913 (pow.f64 x 6)))))
(+.f64 (+.f64 (/.f64 -5632/289 (pow.f64 x 4)) (/.f64 -1130496/4913 (pow.f64 x 6))) (+.f64 (/.f64 -32/17 (*.f64 x x)) (/.f64 -223477760/83521 (pow.f64 x 8))))
(+.f64 (+.f64 (/.f64 -5632/289 (pow.f64 x 4)) (+.f64 (/.f64 -32/17 (*.f64 x x)) (/.f64 -1130496/4913 (pow.f64 x 6)))) (/.f64 -223477760/83521 (pow.f64 x 8)))
(/.f64 -32/17 (pow.f64 x 2))
(/.f64 -32/17 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 5632/289 (/.f64 1 (pow.f64 x 4))) (*.f64 32/17 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 5632/289 (pow.f64 x 4)) (/.f64 32/17 (*.f64 x x))))
(+.f64 (/.f64 -32/17 (*.f64 x x)) (/.f64 -5632/289 (pow.f64 x 4)))
(-.f64 (/.f64 -5632/289 (pow.f64 x 4)) (/.f64 32/17 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 32/17 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1130496/4913 (/.f64 1 (pow.f64 x 6))) (*.f64 5632/289 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (/.f64 32/17 (*.f64 x x)) (+.f64 (/.f64 5632/289 (pow.f64 x 4)) (/.f64 1130496/4913 (pow.f64 x 6)))))
(-.f64 (/.f64 -32/17 (*.f64 x x)) (+.f64 (/.f64 5632/289 (pow.f64 x 4)) (/.f64 1130496/4913 (pow.f64 x 6))))
(+.f64 (/.f64 -32/17 (*.f64 x x)) (+.f64 (/.f64 -5632/289 (pow.f64 x 4)) (/.f64 -1130496/4913 (pow.f64 x 6))))
(+.f64 (/.f64 -5632/289 (pow.f64 x 4)) (+.f64 (/.f64 -32/17 (*.f64 x x)) (/.f64 -1130496/4913 (pow.f64 x 6))))
(neg.f64 (+.f64 (*.f64 223477760/83521 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 32/17 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1130496/4913 (/.f64 1 (pow.f64 x 6))) (*.f64 5632/289 (/.f64 1 (pow.f64 x 4)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 32/17 (*.f64 x x)) (+.f64 (/.f64 5632/289 (pow.f64 x 4)) (/.f64 1130496/4913 (pow.f64 x 6)))) (/.f64 223477760/83521 (pow.f64 x 8))))
(-.f64 (/.f64 -223477760/83521 (pow.f64 x 8)) (+.f64 (/.f64 5632/289 (pow.f64 x 4)) (+.f64 (/.f64 32/17 (*.f64 x x)) (/.f64 1130496/4913 (pow.f64 x 6)))))
(+.f64 (+.f64 (/.f64 -5632/289 (pow.f64 x 4)) (/.f64 -1130496/4913 (pow.f64 x 6))) (+.f64 (/.f64 -32/17 (*.f64 x x)) (/.f64 -223477760/83521 (pow.f64 x 8))))
(+.f64 (+.f64 (/.f64 -5632/289 (pow.f64 x 4)) (+.f64 (/.f64 -32/17 (*.f64 x x)) (/.f64 -1130496/4913 (pow.f64 x 6)))) (/.f64 -223477760/83521 (pow.f64 x 8)))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(/.f64 (/.f64 8 x) x)
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(/.f64 (/.f64 8 x) x)
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(/.f64 (/.f64 8 x) x)
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(/.f64 (/.f64 8 x) x)
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(/.f64 (/.f64 8 x) x)
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(/.f64 (/.f64 8 x) x)
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(/.f64 (/.f64 8 x) x)
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(/.f64 (/.f64 8 x) x)
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(/.f64 (/.f64 8 x) x)
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(/.f64 (/.f64 8 x) x)
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(/.f64 (/.f64 8 x) x)
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(/.f64 (/.f64 8 x) x)
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(/.f64 (/.f64 8 x) x)
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (/.f64 8 (*.f64 x x)) (*.f64 (*.f64 x x) -17/32))
(fma.f64 (*.f64 x x) -17/32 (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 (/.f64 8 x) x))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (/.f64 8 (*.f64 x x)) (*.f64 (*.f64 x x) -17/32))
(fma.f64 (*.f64 x x) -17/32 (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 (/.f64 8 x) x))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (/.f64 8 (*.f64 x x)) (*.f64 (*.f64 x x) -17/32))
(fma.f64 (*.f64 x x) -17/32 (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 (/.f64 8 x) x))
(*.f64 -17/32 (pow.f64 x 2))
(*.f64 (*.f64 x x) -17/32)
(*.f64 x (*.f64 x -17/32))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (/.f64 8 (*.f64 x x)) (*.f64 (*.f64 x x) -17/32))
(fma.f64 (*.f64 x x) -17/32 (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 (/.f64 8 x) x))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (/.f64 8 (*.f64 x x)) (*.f64 (*.f64 x x) -17/32))
(fma.f64 (*.f64 x x) -17/32 (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 (/.f64 8 x) x))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (/.f64 8 (*.f64 x x)) (*.f64 (*.f64 x x) -17/32))
(fma.f64 (*.f64 x x) -17/32 (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 (/.f64 8 x) x))
(*.f64 -17/32 (pow.f64 x 2))
(*.f64 (*.f64 x x) -17/32)
(*.f64 x (*.f64 x -17/32))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (/.f64 8 (*.f64 x x)) (*.f64 (*.f64 x x) -17/32))
(fma.f64 (*.f64 x x) -17/32 (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 (/.f64 8 x) x))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (/.f64 8 (*.f64 x x)) (*.f64 (*.f64 x x) -17/32))
(fma.f64 (*.f64 x x) -17/32 (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 (/.f64 8 x) x))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (/.f64 8 (*.f64 x x)) (*.f64 (*.f64 x x) -17/32))
(fma.f64 (*.f64 x x) -17/32 (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 (/.f64 8 x) x))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(/.f64 (/.f64 8 x) x)
(+.f64 11/2 (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 8 (*.f64 x x)) 11/2)
(+.f64 (/.f64 (/.f64 8 x) x) 11/2)
(+.f64 11/2 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2))))
(+.f64 (/.f64 8 (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) -17/32) 11/2))
(+.f64 (/.f64 8 (*.f64 x x)) (fma.f64 (*.f64 x x) -17/32 11/2))
(+.f64 (/.f64 8 (*.f64 x x)) (fma.f64 x (*.f64 x -17/32) 11/2))
(+.f64 (/.f64 (/.f64 8 x) x) (fma.f64 x (*.f64 x -17/32) 11/2))
(+.f64 11/2 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2))))
(+.f64 (/.f64 8 (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) -17/32) 11/2))
(+.f64 (/.f64 8 (*.f64 x x)) (fma.f64 (*.f64 x x) -17/32 11/2))
(+.f64 (/.f64 8 (*.f64 x x)) (fma.f64 x (*.f64 x -17/32) 11/2))
(+.f64 (/.f64 (/.f64 8 x) x) (fma.f64 x (*.f64 x -17/32) 11/2))
(*.f64 -17/32 (pow.f64 x 2))
(*.f64 (*.f64 x x) -17/32)
(*.f64 x (*.f64 x -17/32))
(+.f64 11/2 (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (*.f64 (*.f64 x x) -17/32) 11/2)
(fma.f64 (*.f64 x x) -17/32 11/2)
(fma.f64 x (*.f64 x -17/32) 11/2)
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (+.f64 11/2 (*.f64 -17/32 (pow.f64 x 2))))
(+.f64 (/.f64 8 (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) -17/32) 11/2))
(+.f64 (/.f64 8 (*.f64 x x)) (fma.f64 (*.f64 x x) -17/32 11/2))
(+.f64 (/.f64 8 (*.f64 x x)) (fma.f64 x (*.f64 x -17/32) 11/2))
(+.f64 (/.f64 (/.f64 8 x) x) (fma.f64 x (*.f64 x -17/32) 11/2))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (+.f64 11/2 (*.f64 -17/32 (pow.f64 x 2))))
(+.f64 (/.f64 8 (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) -17/32) 11/2))
(+.f64 (/.f64 8 (*.f64 x x)) (fma.f64 (*.f64 x x) -17/32 11/2))
(+.f64 (/.f64 8 (*.f64 x x)) (fma.f64 x (*.f64 x -17/32) 11/2))
(+.f64 (/.f64 (/.f64 8 x) x) (fma.f64 x (*.f64 x -17/32) 11/2))
(*.f64 -17/32 (pow.f64 x 2))
(*.f64 (*.f64 x x) -17/32)
(*.f64 x (*.f64 x -17/32))
(+.f64 11/2 (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (*.f64 (*.f64 x x) -17/32) 11/2)
(fma.f64 (*.f64 x x) -17/32 11/2)
(fma.f64 x (*.f64 x -17/32) 11/2)
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (+.f64 11/2 (*.f64 -17/32 (pow.f64 x 2))))
(+.f64 (/.f64 8 (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) -17/32) 11/2))
(+.f64 (/.f64 8 (*.f64 x x)) (fma.f64 (*.f64 x x) -17/32 11/2))
(+.f64 (/.f64 8 (*.f64 x x)) (fma.f64 x (*.f64 x -17/32) 11/2))
(+.f64 (/.f64 (/.f64 8 x) x) (fma.f64 x (*.f64 x -17/32) 11/2))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (+.f64 11/2 (*.f64 -17/32 (pow.f64 x 2))))
(+.f64 (/.f64 8 (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) -17/32) 11/2))
(+.f64 (/.f64 8 (*.f64 x x)) (fma.f64 (*.f64 x x) -17/32 11/2))
(+.f64 (/.f64 8 (*.f64 x x)) (fma.f64 x (*.f64 x -17/32) 11/2))
(+.f64 (/.f64 (/.f64 8 x) x) (fma.f64 x (*.f64 x -17/32) 11/2))

localize43.0ms (0.6%)

Local error

Found 8 expressions with local error:

NewErrorProgram
2.0b
(-.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3/2))
0.0b
(pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3/2)
0.0b
(cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
0.0b
(/.f64 1/2 (hypot.f64 1 x))
0.0b
(/.f64 1/2 (hypot.f64 1 x))
✓0.0b
(cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
✓0.0b
(pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3/2)
✓2.0b
(-.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3/2))
Compiler

Compiled 50 to 43 computations (14% saved)

series12.0ms (0.2%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(-.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3/2))
3.0ms
x
@-inf
(-.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3/2))
2.0ms
x
@0
(-.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3/2))
1.0ms
x
@inf
(pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3/2)
1.0ms
x
@-inf
(pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3/2)

rewrite63.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
459×log-prod_binary64
424×prod-diff_binary64
292×pow2_binary64
252×pow-prod-down_binary64
198×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01145
124739
2307239
Stop Event
1×node limit
Counts
3 → 106
Calls
Call 1
Inputs
(-.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3/2))
(pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3/2)
(cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 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x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (+.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule 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1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2))) (cbrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (fma.f64 1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8)) (cbrt.f64 (+.f64 1/4 (-.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 1/4 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))) (cbrt.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))))

simplify98.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
942×fma-def_binary64
591×fma-neg_binary64
412×associate-*l*_binary64
397×associate-*r*_binary64
324×associate-+l+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01711605
14981414
215541215
362931215
Stop Event
1×node limit
Counts
142 → 166
Calls
Call 1
Inputs
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (+.f64 (*.f64 -1843/32768 (pow.f64 x 8)) (*.f64 -11/128 (pow.f64 x 4)))))
(-.f64 1 (pow.f64 (cbrt.f64 1/2) 3/2))
(-.f64 (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) (/.f64 1 x))) 1) (pow.f64 (cbrt.f64 1/2) 3/2))
(-.f64 (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) (/.f64 1 x))) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/32 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3)) (*.f64 3/4 (+.f64 (*.f64 -1/36 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3)) (*.f64 -1/18 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3))))) (sqrt.f64 1/2)) (pow.f64 x 2))))) (pow.f64 (cbrt.f64 1/2) 3/2))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 3/16 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5)) 1/3) (+.f64 (*.f64 -1/36 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3)) (*.f64 -1/18 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3))))) (+.f64 (*.f64 1/4 (+.f64 (*.f64 1/36 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5)))) (+.f64 (*.f64 1/54 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 -4 (+.f64 1/4 (+.f64 (*.f64 1/216 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 -1/36 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))))))) (*.f64 1/384 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5)))))) (pow.f64 x 3))) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) (/.f64 1 x))) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/32 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3)) (*.f64 3/4 (+.f64 (*.f64 -1/36 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3)) (*.f64 -1/18 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3))))) (sqrt.f64 1/2)) (pow.f64 x 2)))))) (pow.f64 (cbrt.f64 1/2) 3/2))
(-.f64 1 (pow.f64 (cbrt.f64 1/2) 3/2))
(-.f64 (+.f64 1 (*.f64 1/4 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) (/.f64 1 x)))) (pow.f64 (cbrt.f64 1/2) 3/2))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) (/.f64 1 x))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/32 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3)) (*.f64 3/4 (+.f64 (*.f64 -1/36 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3)) (*.f64 -1/18 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3))))) (sqrt.f64 1/2)) (pow.f64 x 2))))) (pow.f64 (cbrt.f64 1/2) 3/2))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) (/.f64 1 x))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/32 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3)) (*.f64 3/4 (+.f64 (*.f64 -1/36 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3)) (*.f64 -1/18 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3))))) (sqrt.f64 1/2)) (pow.f64 x 2))) (/.f64 (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 3/16 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5)) 1/3) (+.f64 (*.f64 -1/36 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3)) (*.f64 -1/18 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3))))) (+.f64 (*.f64 1/4 (+.f64 (*.f64 1/36 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5)))) (+.f64 (*.f64 1/54 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 -4 (+.f64 1/4 (+.f64 (*.f64 1/216 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 -1/36 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))))))) (*.f64 1/384 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5)))))) (pow.f64 x 3))))) (pow.f64 (cbrt.f64 1/2) 3/2))
1
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 1 (*.f64 11/128 (pow.f64 x 4))))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -69/1024 (pow.f64 x 6)) (+.f64 1 (*.f64 11/128 (pow.f64 x 4)))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 1/4 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) (/.f64 1 x))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) (/.f64 1 x))) (/.f64 (*.f64 (+.f64 (*.f64 1/32 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3)) (*.f64 3/4 (+.f64 (*.f64 -1/36 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3)) (*.f64 -1/18 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3))))) (sqrt.f64 1/2)) (pow.f64 x 2))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) (/.f64 1 x))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/32 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3)) (*.f64 3/4 (+.f64 (*.f64 -1/36 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3)) (*.f64 -1/18 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3))))) (sqrt.f64 1/2)) (pow.f64 x 2)) (/.f64 (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 3/16 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5)) 1/3) (+.f64 (*.f64 -1/36 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3)) (*.f64 -1/18 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3))))) (+.f64 (*.f64 1/4 (+.f64 (*.f64 1/36 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5)))) (+.f64 (*.f64 1/54 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 -4 (+.f64 1/4 (+.f64 (*.f64 1/216 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 -1/36 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))))))) (*.f64 1/384 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5)))))) (pow.f64 x 3)))))
(sqrt.f64 1/2)
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) (/.f64 1 x))) (sqrt.f64 1/2))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) (/.f64 1 x))) (+.f64 (sqrt.f64 1/2) (/.f64 (*.f64 (+.f64 (*.f64 1/32 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3)) (*.f64 3/4 (+.f64 (*.f64 -1/36 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3)) (*.f64 -1/18 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3))))) (sqrt.f64 1/2)) (pow.f64 x 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 3/16 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5)) 1/3) (+.f64 (*.f64 -1/36 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3)) (*.f64 -1/18 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3))))) (+.f64 (*.f64 1/4 (+.f64 (*.f64 1/36 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5)))) (+.f64 (*.f64 1/54 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 -4 (+.f64 1/4 (+.f64 (*.f64 1/216 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 -1/36 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))))))) (*.f64 1/384 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5)))))) (pow.f64 x 3))) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) (/.f64 1 x))) (+.f64 (sqrt.f64 1/2) (/.f64 (*.f64 (+.f64 (*.f64 1/32 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3)) (*.f64 3/4 (+.f64 (*.f64 -1/36 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3)) (*.f64 -1/18 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3))))) (sqrt.f64 1/2)) (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 -1/12 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (*.f64 1/18 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (+.f64 (*.f64 -221/5184 (pow.f64 x 6)) (*.f64 1/18 (pow.f64 x 4)))))
(cbrt.f64 1/2)
(+.f64 (cbrt.f64 1/2) (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (/.f64 1 x))))
(+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (cbrt.f64 1/2) (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (/.f64 1 x)))))
(+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (cbrt.f64 1/2) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (/.f64 1 x))) (*.f64 -1/3 (/.f64 (+.f64 1/4 (+.f64 (*.f64 1/216 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 -1/36 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))) (*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 x 3)))))))
(cbrt.f64 1/2)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (/.f64 1 x))) (cbrt.f64 1/2))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (/.f64 1 x))) (+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (/.f64 1 (pow.f64 x 2)))) (cbrt.f64 1/2)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (/.f64 1 x))) (+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (/.f64 (+.f64 1/4 (+.f64 (*.f64 1/216 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 -1/36 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))) (*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 x 3)))) (cbrt.f64 1/2))))
Outputs
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (*.f64 x x)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -11/128 (pow.f64 x 4) (*.f64 69/1024 (pow.f64 x 6))))
(fma.f64 -11/128 (pow.f64 x 4) (fma.f64 69/1024 (pow.f64 x 6) (*.f64 1/8 (*.f64 x x))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (+.f64 (*.f64 -1843/32768 (pow.f64 x 8)) (*.f64 -11/128 (pow.f64 x 4)))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 69/1024 (pow.f64 x 6) (fma.f64 -1843/32768 (pow.f64 x 8) (*.f64 -11/128 (pow.f64 x 4)))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 69/1024 (pow.f64 x 6) (fma.f64 -11/128 (pow.f64 x 4) (*.f64 -1843/32768 (pow.f64 x 8)))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -1843/32768 (pow.f64 x 8)))))
(-.f64 1 (pow.f64 (cbrt.f64 1/2) 3/2))
(-.f64 (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) (/.f64 1 x))) 1) (pow.f64 (cbrt.f64 1/2) 3/2))
(-.f64 (fma.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) (/.f64 1 x)) 1) (pow.f64 (cbrt.f64 1/2) 3/2))
(-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) x) 1) (pow.f64 (cbrt.f64 1/2) 3/2))
(-.f64 (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) (/.f64 1 x))) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/32 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3)) (*.f64 3/4 (+.f64 (*.f64 -1/36 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3)) (*.f64 -1/18 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3))))) (sqrt.f64 1/2)) (pow.f64 x 2))))) (pow.f64 (cbrt.f64 1/2) 3/2))
(-.f64 (+.f64 (fma.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) (/.f64 1 x)) 1) (neg.f64 (/.f64 (fma.f64 1/32 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10))) (*.f64 3/4 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10))) -1/12))) (/.f64 (*.f64 x x) (sqrt.f64 1/2))))) (pow.f64 (cbrt.f64 1/2) 3/2))
(fma.f64 -1/4 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) x) (-.f64 (-.f64 1 (*.f64 (/.f64 (sqrt.f64 1/2) x) (/.f64 (fma.f64 1/32 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10))) -1/16)) x))) (pow.f64 (cbrt.f64 1/2) 3/2)))
(-.f64 (-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) x) 1) (pow.f64 (cbrt.f64 1/2) 3/2)) (*.f64 (sqrt.f64 1/2) (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10))) -1/32) (*.f64 x x))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 3/16 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5)) 1/3) (+.f64 (*.f64 -1/36 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3)) (*.f64 -1/18 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3))))) (+.f64 (*.f64 1/4 (+.f64 (*.f64 1/36 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5)))) (+.f64 (*.f64 1/54 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 -4 (+.f64 1/4 (+.f64 (*.f64 1/216 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 -1/36 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))))))) (*.f64 1/384 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5)))))) (pow.f64 x 3))) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) (/.f64 1 x))) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/32 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3)) (*.f64 3/4 (+.f64 (*.f64 -1/36 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3)) (*.f64 -1/18 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3))))) (sqrt.f64 1/2)) (pow.f64 x 2)))))) (pow.f64 (cbrt.f64 1/2) 3/2))
(-.f64 (fma.f64 -1 (/.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 3) (fma.f64 3/16 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10))) -1/12) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5)))) (fma.f64 1/4 (fma.f64 1/36 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5)) (+.f64 (/.f64 1/54 (pow.f64 (cbrt.f64 1/2) 2)) (+.f64 -1 (*.f64 (+.f64 (/.f64 1/216 (pow.f64 (cbrt.f64 1/2) 2)) (*.f64 -1/36 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) -4)))) (/.f64 1/384 (pow.f64 (cbrt.f64 1/2) 5)))))) (+.f64 (fma.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) (/.f64 1 x)) 1) (neg.f64 (/.f64 (fma.f64 1/32 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10))) (*.f64 3/4 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10))) -1/12))) (/.f64 (*.f64 x x) (sqrt.f64 1/2)))))) (pow.f64 (cbrt.f64 1/2) 3/2))
(-.f64 (-.f64 (-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) x) 1) (*.f64 (/.f64 (sqrt.f64 1/2) x) (/.f64 (fma.f64 1/32 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10))) -1/16)) x))) (*.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 x 3)) (fma.f64 3/16 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10))) (*.f64 -1/12 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5))))) (fma.f64 1/4 (+.f64 (/.f64 1/36 (pow.f64 (cbrt.f64 1/2) 5)) (fma.f64 -4 (+.f64 1/4 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) -5/216)) (/.f64 1/54 (pow.f64 (cbrt.f64 1/2) 2)))) (/.f64 1/384 (pow.f64 (cbrt.f64 1/2) 5)))))) (pow.f64 (cbrt.f64 1/2) 3/2))
(-.f64 (-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) x) 1) (*.f64 (/.f64 (sqrt.f64 1/2) x) (+.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10))) -1/32) x) (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10))) -1/64) (+.f64 (fma.f64 1/4 (fma.f64 -4 (/.f64 -5/216 (pow.f64 (cbrt.f64 1/2) 2)) -1) (/.f64 1/216 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5)) 11/1152))) (*.f64 x x))))) (pow.f64 (cbrt.f64 1/2) 3/2))
(-.f64 (-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) x) 1) (*.f64 (/.f64 (sqrt.f64 1/2) x) (+.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10))) -1/32) x) (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10))) -1/64) (+.f64 (+.f64 (/.f64 1/216 (pow.f64 (cbrt.f64 1/2) 2)) (neg.f64 (+.f64 1/4 (/.f64 -5/216 (pow.f64 (cbrt.f64 1/2) 2))))) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5)) 11/1152))) (*.f64 x x))))) (pow.f64 (cbrt.f64 1/2) 3/2))
(-.f64 1 (pow.f64 (cbrt.f64 1/2) 3/2))
(-.f64 (+.f64 1 (*.f64 1/4 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) (/.f64 1 x)))) (pow.f64 (cbrt.f64 1/2) 3/2))
(+.f64 1 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) (/.f64 1 x)) 1/4) (pow.f64 (cbrt.f64 1/2) 3/2)))
(-.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) x) 1/4 1) (pow.f64 (cbrt.f64 1/2) 3/2))
(-.f64 (fma.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) (/.f64 1/4 x) 1) (pow.f64 (cbrt.f64 1/2) 3/2))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) (/.f64 1 x))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/32 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3)) (*.f64 3/4 (+.f64 (*.f64 -1/36 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3)) (*.f64 -1/18 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3))))) (sqrt.f64 1/2)) (pow.f64 x 2))))) (pow.f64 (cbrt.f64 1/2) 3/2))
(+.f64 1 (-.f64 (fma.f64 1/4 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) (/.f64 1 x)) (neg.f64 (/.f64 (fma.f64 1/32 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10))) (*.f64 3/4 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10))) -1/12))) (/.f64 (*.f64 x x) (sqrt.f64 1/2))))) (pow.f64 (cbrt.f64 1/2) 3/2)))
(-.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) x) 1/4 1) (*.f64 (/.f64 (sqrt.f64 1/2) x) (/.f64 (fma.f64 1/32 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10))) -1/16)) x))) (pow.f64 (cbrt.f64 1/2) 3/2))
(-.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) (/.f64 1/4 x) 1) (*.f64 (sqrt.f64 1/2) (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10))) -1/32) (*.f64 x x)))) (pow.f64 (cbrt.f64 1/2) 3/2))
(-.f64 (-.f64 1 (fma.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10))) -1/32) (*.f64 x x)) (sqrt.f64 1/2) (*.f64 -1/4 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) x)))) (pow.f64 (cbrt.f64 1/2) 3/2))
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1
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(fma.f64 -1/8 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -1/8 1)
(fma.f64 x (*.f64 x -1/8) 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 1 (*.f64 11/128 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/8 (*.f64 x x) 1) (*.f64 (pow.f64 x 4) 11/128))
(fma.f64 (*.f64 x x) -1/8 (fma.f64 (pow.f64 x 4) 11/128 1))
(fma.f64 (pow.f64 x 4) 11/128 (fma.f64 x (*.f64 x -1/8) 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -69/1024 (pow.f64 x 6)) (+.f64 1 (*.f64 11/128 (pow.f64 x 4)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 -69/1024 (pow.f64 x 6) (+.f64 1 (*.f64 (pow.f64 x 4) 11/128))))
(fma.f64 (*.f64 x x) -1/8 (fma.f64 (pow.f64 x 6) -69/1024 (fma.f64 (pow.f64 x 4) 11/128 1)))
(fma.f64 (pow.f64 x 6) -69/1024 (fma.f64 (pow.f64 x 4) 11/128 (fma.f64 x (*.f64 x -1/8) 1)))
(sqrt.f64 1/2)
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(fma.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) x) 1/4 (sqrt.f64 1/2))
(fma.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) (/.f64 1/4 x) (sqrt.f64 1/2))
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(fma.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10))) -1/32) (*.f64 x x)) (sqrt.f64 1/2) (fma.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) (/.f64 1/4 x) (sqrt.f64 1/2)))
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(sqrt.f64 1/2)
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(fma.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) (/.f64 1 x)) (sqrt.f64 1/2))
(fma.f64 -1/4 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) x) (sqrt.f64 1/2))
(fma.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) (/.f64 -1/4 x) (sqrt.f64 1/2))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) (/.f64 1 x))) (+.f64 (sqrt.f64 1/2) (/.f64 (*.f64 (+.f64 (*.f64 1/32 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3)) (*.f64 3/4 (+.f64 (*.f64 -1/36 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3)) (*.f64 -1/18 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3))))) (sqrt.f64 1/2)) (pow.f64 x 2))))
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(fma.f64 -1/4 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) x) (fma.f64 (/.f64 (sqrt.f64 1/2) x) (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10))) -1/32) x) (sqrt.f64 1/2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 3/16 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5)) 1/3) (+.f64 (*.f64 -1/36 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3)) (*.f64 -1/18 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3))))) (+.f64 (*.f64 1/4 (+.f64 (*.f64 1/36 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5)))) (+.f64 (*.f64 1/54 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 -4 (+.f64 1/4 (+.f64 (*.f64 1/216 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 -1/36 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))))))) (*.f64 1/384 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5)))))) (pow.f64 x 3))) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) (/.f64 1 x))) (+.f64 (sqrt.f64 1/2) (/.f64 (*.f64 (+.f64 (*.f64 1/32 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3)) (*.f64 3/4 (+.f64 (*.f64 -1/36 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3)) (*.f64 -1/18 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10)) 1/3))))) (sqrt.f64 1/2)) (pow.f64 x 2)))))
(fma.f64 -1 (/.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 x 3) (fma.f64 3/16 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10))) -1/12) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5)))) (fma.f64 1/4 (fma.f64 1/36 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5)) (+.f64 (/.f64 1/54 (pow.f64 (cbrt.f64 1/2) 2)) (+.f64 -1 (*.f64 (+.f64 (/.f64 1/216 (pow.f64 (cbrt.f64 1/2) 2)) (*.f64 -1/36 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) -4)))) (/.f64 1/384 (pow.f64 (cbrt.f64 1/2) 5)))))) (+.f64 (fma.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) (/.f64 1 x)) (sqrt.f64 1/2)) (/.f64 (fma.f64 1/32 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10))) (*.f64 3/4 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10))) -1/12))) (/.f64 (*.f64 x x) (sqrt.f64 1/2)))))
(-.f64 (+.f64 (*.f64 (/.f64 (sqrt.f64 1/2) x) (/.f64 (fma.f64 1/32 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10))) -1/16)) x)) (fma.f64 -1/4 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) x) (sqrt.f64 1/2))) (*.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 x 3)) (fma.f64 3/16 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10))) (*.f64 -1/12 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5))))) (fma.f64 1/4 (+.f64 (/.f64 1/36 (pow.f64 (cbrt.f64 1/2) 5)) (fma.f64 -4 (+.f64 1/4 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) -5/216)) (/.f64 1/54 (pow.f64 (cbrt.f64 1/2) 2)))) (/.f64 1/384 (pow.f64 (cbrt.f64 1/2) 5))))))
(-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) x) (fma.f64 (/.f64 (sqrt.f64 1/2) x) (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10))) -1/32) x) (sqrt.f64 1/2))) (*.f64 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10))) -1/64) (+.f64 (fma.f64 1/4 (fma.f64 -4 (/.f64 -5/216 (pow.f64 (cbrt.f64 1/2) 2)) -1) (/.f64 1/216 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5)) 11/1152))) (/.f64 (sqrt.f64 1/2) (pow.f64 x 3))))
(-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/6) x) (fma.f64 (/.f64 (sqrt.f64 1/2) x) (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10))) -1/32) x) (sqrt.f64 1/2))) (*.f64 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 10))) -1/64) (+.f64 (+.f64 (/.f64 1/216 (pow.f64 (cbrt.f64 1/2) 2)) (neg.f64 (+.f64 1/4 (/.f64 -5/216 (pow.f64 (cbrt.f64 1/2) 2))))) (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 5)) 11/1152))) (/.f64 (sqrt.f64 1/2) (pow.f64 x 3))))
1
(+.f64 1 (*.f64 -1/12 (pow.f64 x 2)))
(+.f64 1 (*.f64 (*.f64 x x) -1/12))
(fma.f64 (*.f64 x x) -1/12 1)
(fma.f64 x (*.f64 x -1/12) 1)
(+.f64 1 (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (*.f64 1/18 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/12 (*.f64 x x) (*.f64 (pow.f64 x 4) 1/18)))
(+.f64 1 (fma.f64 (pow.f64 x 4) 1/18 (*.f64 x (*.f64 x -1/12))))
(fma.f64 (pow.f64 x 4) 1/18 (fma.f64 x (*.f64 x -1/12) 1))
(+.f64 1 (+.f64 (*.f64 -1/12 (pow.f64 x 2)) (+.f64 (*.f64 -221/5184 (pow.f64 x 6)) (*.f64 1/18 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/12 (*.f64 x x) (fma.f64 -221/5184 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/18))))
(+.f64 1 (fma.f64 (*.f64 x x) -1/12 (fma.f64 (pow.f64 x 4) 1/18 (*.f64 (pow.f64 x 6) -221/5184))))
(+.f64 (*.f64 (pow.f64 x 6) -221/5184) (fma.f64 (pow.f64 x 4) 1/18 (fma.f64 x (*.f64 x -1/12) 1)))
(cbrt.f64 1/2)
(+.f64 (cbrt.f64 1/2) (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (/.f64 1 x))))
(+.f64 (cbrt.f64 1/2) (*.f64 1/6 (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))))
(fma.f64 1/6 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) x) (cbrt.f64 1/2))
(+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (cbrt.f64 1/2) (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (/.f64 1 x)))))
(+.f64 (fma.f64 -1/36 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) (/.f64 1 (*.f64 x x))) (cbrt.f64 1/2)) (*.f64 1/6 (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))))
(fma.f64 -1/36 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) (*.f64 x x)) (fma.f64 1/6 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) x) (cbrt.f64 1/2)))
(fma.f64 1/6 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) x) (fma.f64 -1/36 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) (*.f64 x x)) (cbrt.f64 1/2)))
(+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (cbrt.f64 1/2) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (/.f64 1 x))) (*.f64 -1/3 (/.f64 (+.f64 1/4 (+.f64 (*.f64 1/216 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 -1/36 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))) (*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 x 3)))))))
(+.f64 (fma.f64 -1/36 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) (/.f64 1 (*.f64 x x))) (cbrt.f64 1/2)) (fma.f64 1/6 (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (*.f64 -1/3 (/.f64 (+.f64 1/4 (+.f64 (/.f64 1/216 (pow.f64 (cbrt.f64 1/2) 2)) (*.f64 -1/36 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 x 3))))))
(+.f64 (fma.f64 -1/3 (/.f64 (+.f64 1/4 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) -5/216)) (*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 x 3))) (*.f64 1/6 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) x))) (fma.f64 -1/36 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) (*.f64 x x)) (cbrt.f64 1/2)))
(fma.f64 -1/36 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) (*.f64 x x)) (+.f64 (fma.f64 1/6 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) x) (cbrt.f64 1/2)) (/.f64 (fma.f64 (/.f64 -5/216 (pow.f64 (cbrt.f64 1/2) 2)) -1/3 -1/12) (*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 x 3)))))
(cbrt.f64 1/2)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (/.f64 1 x))) (cbrt.f64 1/2))
(fma.f64 -1/6 (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (cbrt.f64 1/2))
(fma.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) x) -1/6 (cbrt.f64 1/2))
(fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (/.f64 -1/6 x) (cbrt.f64 1/2))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (/.f64 1 x))) (+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (/.f64 1 (pow.f64 x 2)))) (cbrt.f64 1/2)))
(fma.f64 -1/6 (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (fma.f64 -1/36 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) (/.f64 1 (*.f64 x x))) (cbrt.f64 1/2)))
(fma.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) x) -1/6 (fma.f64 -1/36 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) (*.f64 x x)) (cbrt.f64 1/2)))
(fma.f64 -1/36 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) (*.f64 x x)) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (/.f64 -1/6 x) (cbrt.f64 1/2)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (/.f64 1 x))) (+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (/.f64 (+.f64 1/4 (+.f64 (*.f64 1/216 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 -1/36 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))))) (*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 x 3)))) (cbrt.f64 1/2))))
(fma.f64 -1/6 (*.f64 (/.f64 1 x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (fma.f64 -1/36 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) (/.f64 1 (*.f64 x x))) (fma.f64 1/3 (/.f64 (+.f64 1/4 (+.f64 (/.f64 1/216 (pow.f64 (cbrt.f64 1/2) 2)) (*.f64 -1/36 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 x 3))) (cbrt.f64 1/2))))
(fma.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) x) -1/6 (fma.f64 -1/36 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) (*.f64 x x)) (fma.f64 1/3 (/.f64 (+.f64 1/4 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) -5/216)) (*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 x 3))) (cbrt.f64 1/2))))
(+.f64 (/.f64 (fma.f64 1/3 (/.f64 -5/216 (pow.f64 (cbrt.f64 1/2) 2)) 1/12) (*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 x 3))) (fma.f64 -1/36 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) (*.f64 x x)) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (/.f64 -1/6 x) (cbrt.f64 1/2))))

eval810.0ms (10.7%)

Compiler

Compiled 28842 to 25574 computations (11.3% saved)

prune156.0ms (2.1%)

Pruning

18 alts after pruning (10 fresh and 8 done)

PrunedKeptTotal
New7935798
Fresh358
Picked101
Done088
Total79718815
Error
0b
Counts
815 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
✓15.4b
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
✓31.8b
(/.f64 1 (+.f64 11/2 (fma.f64 (*.f64 x x) -17/32 (/.f64 (/.f64 8 x) x))))
▶31.8b
(/.f64 1 (+.f64 11/2 (fma.f64 (*.f64 x x) -17/32 (*.f64 (/.f64 8 x) (/.f64 1 x)))))
32.3b
(-.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 3/2))
✓15.9b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
26.4b
(/.f64 1 (+.f64 11/2 (/.f64 (/.f64 8 x) x)))
▶31.3b
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
16.5b
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3)
✓31.7b
(*.f64 1/8 (*.f64 x x))
32.3b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
▶32.0b
(/.f64 1 (/.f64 (/.f64 8 x) x))
✓30.9b
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
▶15.9b
(/.f64 1 (+.f64 0 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
✓31.4b
(-.f64 1 (sqrt.f64 1/2))
▶32.3b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
✓15.4b
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
✓47.0b
(-.f64 1 1)
16.1b
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (-.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))
Compiler

Compiled 356 to 311 computations (12.6% saved)

localize34.0ms (0.4%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (+.f64 0 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
0.0b
(/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
0.0b
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
0.0b
(/.f64 1/2 (hypot.f64 1 x))
0.0b
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
✓0.0b
(/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
✓0.0b
(/.f64 1 (+.f64 0 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
2.0b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
Compiler

Compiled 80 to 71 computations (11.3% saved)

series5.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
1.0ms
x
@inf
(/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
1.0ms
x
@-inf
(/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
0.0ms
x
@0
(/.f64 1 (+.f64 0 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
0.0ms
x
@inf
(/.f64 1 (+.f64 0 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))

rewrite72.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
492×log-prod_binary64
390×prod-diff_binary64
291×pow2_binary64
269×fma-def_binary64
210×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01339
130033
2377133
Stop Event
1×node limit
Counts
2 → 96
Calls
Call 1
Inputs
(/.f64 1 (+.f64 0 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
Outputs
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(/.f64 1/2 (hypot.f64 1 x))))) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -2)) (/.f64 1 (/.f64 -1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) (+.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))))))

simplify64.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
645×fma-neg_binary64
630×associate-*l*_binary64
507×associate-*r*_binary64
434×fma-def_binary64
308×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01441043
1433914
21653880
37210853
Stop Event
1×node limit
Counts
120 → 138
Calls
Call 1
Inputs
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (+.f64 (*.f64 -1843/32768 (pow.f64 x 8)) (*.f64 -11/128 (pow.f64 x 4)))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))))) (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))) (sqrt.f64 1/2))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))) (sqrt.f64 1/2))
(/.f64 8 (pow.f64 x 2))
(+.f64 11/2 (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(+.f64 11/2 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2))))
(+.f64 11/2 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 69/256 (pow.f64 x 4)) (*.f64 -17/32 (pow.f64 x 2)))))
(/.f64 1 (-.f64 1 (sqrt.f64 1/2)))
(+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (/.f64 1 (-.f64 1 (sqrt.f64 1/2))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (pow.f64 x 2))))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (/.f64 1 (-.f64 1 (sqrt.f64 1/2))))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 x 2))))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (pow.f64 x 2))))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))) (+.f64 (*.f64 -1/4 (/.f64 (-.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (*.f64 (sqrt.f64 1/2) (-.f64 1 (sqrt.f64 1/2))))) (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 4) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))))) (pow.f64 x 3))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (/.f64 1 (-.f64 1 (sqrt.f64 1/2)))))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 x 2))))))
(/.f64 1 (-.f64 1 (sqrt.f64 1/2)))
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (pow.f64 x 2))))) (/.f64 1 (-.f64 1 (sqrt.f64 1/2)))) (+.f64 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 x 2))))) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (pow.f64 x 2))))) (+.f64 (*.f64 -1/4 (/.f64 (-.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 x 3) (-.f64 1 (sqrt.f64 1/2)))))) (+.f64 (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 4) (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (pow.f64 x 3))))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (/.f64 1 (-.f64 1 (sqrt.f64 1/2))))))) (+.f64 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 x 2))))) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))))))
Outputs
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (*.f64 x x)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -11/128 (pow.f64 x 4) (*.f64 69/1024 (pow.f64 x 6))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (+.f64 (*.f64 -1843/32768 (pow.f64 x 8)) (*.f64 -11/128 (pow.f64 x 4)))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 69/1024 (pow.f64 x 6) (fma.f64 -1843/32768 (pow.f64 x 8) (*.f64 -11/128 (pow.f64 x 4)))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 69/1024 (pow.f64 x 6) (fma.f64 -11/128 (pow.f64 x 4) (*.f64 -1843/32768 (pow.f64 x 8)))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -1843/32768 (pow.f64 x 8)))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))
(-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x)))
(+.f64 1 (-.f64 (/.f64 (/.f64 -1/4 (sqrt.f64 1/2)) x) (sqrt.f64 1/2)))
(-.f64 (+.f64 1 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))
(+.f64 1 (-.f64 (/.f64 1/32 (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))))
(-.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)) 1) (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x)))
(+.f64 (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)) (+.f64 1 (-.f64 (/.f64 (/.f64 -1/4 (sqrt.f64 1/2)) x) (sqrt.f64 1/2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))))) (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1/32 (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3))) (/.f64 (*.f64 -1/2 (+.f64 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 4)) -1/4)) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))))) (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))))
(-.f64 (+.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)) 1) (/.f64 3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x)))
(+.f64 (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)) (-.f64 (+.f64 1 (/.f64 3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))) (sqrt.f64 1/2))
(+.f64 1 (-.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(+.f64 1 (-.f64 (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x) (sqrt.f64 1/2)))
(+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))) (sqrt.f64 1/2))
(+.f64 1 (-.f64 (+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (/.f64 1/32 (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)))) (sqrt.f64 1/2)))
(+.f64 1 (-.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)) (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x)) (sqrt.f64 1/2)))
(+.f64 (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)) (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))) (sqrt.f64 1/2))
(-.f64 (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 4)) -1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (+.f64 1 (+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (/.f64 1/32 (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)))))) (sqrt.f64 1/2))
(+.f64 (+.f64 1 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)) (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x))) (-.f64 (/.f64 -3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (sqrt.f64 1/2)))
(+.f64 (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)) (+.f64 (+.f64 1 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) (-.f64 (/.f64 -3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (sqrt.f64 1/2))))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(+.f64 11/2 (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(+.f64 11/2 (/.f64 8 (*.f64 x x)))
(+.f64 11/2 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2))))
(+.f64 (+.f64 11/2 (/.f64 8 (*.f64 x x))) (*.f64 (*.f64 x x) -17/32))
(+.f64 11/2 (fma.f64 (*.f64 x x) -17/32 (/.f64 8 (*.f64 x x))))
(+.f64 11/2 (fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x))))
(+.f64 11/2 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 69/256 (pow.f64 x 4)) (*.f64 -17/32 (pow.f64 x 2)))))
(+.f64 11/2 (+.f64 (/.f64 8 (*.f64 x x)) (fma.f64 69/256 (pow.f64 x 4) (*.f64 (*.f64 x x) -17/32))))
(+.f64 (+.f64 11/2 (/.f64 8 (*.f64 x x))) (fma.f64 (pow.f64 x 4) 69/256 (*.f64 x (*.f64 x -17/32))))
(+.f64 (fma.f64 (pow.f64 x 4) 69/256 (/.f64 8 (*.f64 x x))) (fma.f64 x (*.f64 x -17/32) 11/2))
(/.f64 1 (-.f64 1 (sqrt.f64 1/2)))
(+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (/.f64 1 (-.f64 1 (sqrt.f64 1/2))))
(+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) (*.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))))
(+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 1/4 (*.f64 (*.f64 x (sqrt.f64 1/2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))
(+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 1/4 (*.f64 x (*.f64 (sqrt.f64 1/2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (pow.f64 x 2))))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (/.f64 1 (-.f64 1 (sqrt.f64 1/2))))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 x 2))))))
(+.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (*.f64 x x) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (-.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) (*.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (/.f64 1/32 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (*.f64 x x) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))))
(+.f64 (+.f64 (/.f64 1/4 (*.f64 (*.f64 x (sqrt.f64 1/2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))) (/.f64 1/8 (*.f64 x (*.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3))))) (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (*.f64 (/.f64 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)) -1/32)))
(+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (-.f64 (+.f64 (/.f64 1/4 (*.f64 x (*.f64 (sqrt.f64 1/2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))) (/.f64 1/8 (*.f64 (*.f64 x x) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (/.f64 (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))
(+.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 1/4 (*.f64 x (*.f64 (sqrt.f64 1/2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (/.f64 (+.f64 (/.f64 1/8 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)) (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))) (*.f64 x x)))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (pow.f64 x 2))))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))) (+.f64 (*.f64 -1/4 (/.f64 (-.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (*.f64 (sqrt.f64 1/2) (-.f64 1 (sqrt.f64 1/2))))) (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 4) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))))) (pow.f64 x 3))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (/.f64 1 (-.f64 1 (sqrt.f64 1/2)))))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 x 2))))))
(+.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (*.f64 x x) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1/2 (/.f64 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 4)) -1/4) (sqrt.f64 1/2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)) (fma.f64 -1/4 (/.f64 (-.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3))) (/.f64 1/32 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 (sqrt.f64 1/2) (-.f64 1 (sqrt.f64 1/2)))) (/.f64 1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 4) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3))))) (pow.f64 x 3)) (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) (*.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))))) (/.f64 1/32 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (*.f64 x x) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))))
(+.f64 (/.f64 1/8 (*.f64 x (*.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (+.f64 (-.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 1/4 (*.f64 (*.f64 x (sqrt.f64 1/2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))) (/.f64 (+.f64 (/.f64 (/.f64 3/32 (sqrt.f64 1/2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)) (fma.f64 -1/4 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)) (*.f64 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)) -1/32)) (*.f64 (sqrt.f64 1/2) (-.f64 1 (sqrt.f64 1/2)))) (/.f64 1/32 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (pow.f64 x 3))) (*.f64 (/.f64 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)) -1/32)))
(+.f64 (-.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 1/4 (*.f64 x (*.f64 (sqrt.f64 1/2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (/.f64 (+.f64 (/.f64 1/32 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)) (fma.f64 -1/4 (+.f64 (/.f64 1/8 (*.f64 (+.f64 (sqrt.f64 1/2) -1/2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3))) (/.f64 -1/32 (*.f64 1/4 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (/.f64 3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (pow.f64 x 3))) (+.f64 (/.f64 1/8 (*.f64 (*.f64 x x) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3))) (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) (*.f64 (*.f64 x x) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))))
(+.f64 (-.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 1/4 (*.f64 x (*.f64 (sqrt.f64 1/2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (/.f64 (+.f64 (/.f64 1/32 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)) (fma.f64 -1/4 (+.f64 (/.f64 1/8 (*.f64 (+.f64 (sqrt.f64 1/2) -1/2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3))) (/.f64 -1/32 (*.f64 1/4 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (/.f64 3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (pow.f64 x 3))) (/.f64 (+.f64 (/.f64 1/8 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)) (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))) (*.f64 x x)))
(/.f64 1 (-.f64 1 (sqrt.f64 1/2)))
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))))
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) (*.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))))
(+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 -1/4 (*.f64 (*.f64 x (sqrt.f64 1/2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))
(+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 -1/4 (*.f64 x (*.f64 (sqrt.f64 1/2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (pow.f64 x 2))))) (/.f64 1 (-.f64 1 (sqrt.f64 1/2)))) (+.f64 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 x 2))))) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))))))
(-.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (*.f64 x x) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3))))) (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) (*.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))) (/.f64 1/32 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (*.f64 x x) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))))
(+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (-.f64 (/.f64 1/8 (*.f64 x (*.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (fma.f64 1/32 (/.f64 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)) (/.f64 1/4 (*.f64 (*.f64 x (sqrt.f64 1/2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))))
(-.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 -1/4 (*.f64 x (*.f64 (sqrt.f64 1/2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (-.f64 (/.f64 (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)) (/.f64 1/8 (*.f64 (*.f64 x x) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))))
(+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (+.f64 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)) (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))) (*.f64 x x)) (/.f64 -1/4 (*.f64 x (*.f64 (sqrt.f64 1/2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (pow.f64 x 2))))) (+.f64 (*.f64 -1/4 (/.f64 (-.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 x 3) (-.f64 1 (sqrt.f64 1/2)))))) (+.f64 (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 4) (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (pow.f64 x 3))))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (/.f64 1 (-.f64 1 (sqrt.f64 1/2))))))) (+.f64 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 x 2))))) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))))))
(+.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (*.f64 x x) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (-.f64 (fma.f64 -1/4 (/.f64 (-.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3))) (/.f64 1/32 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))) (*.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (sqrt.f64 1/2)) (pow.f64 x 3)))) (+.f64 (/.f64 1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 4) (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 4)) -1/4) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))) (/.f64 1 (-.f64 1 (sqrt.f64 1/2)))))) (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) (*.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))) (/.f64 1/32 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (*.f64 x x) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))))))
(+.f64 (/.f64 1/8 (*.f64 x (*.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (+.f64 (fma.f64 -1/4 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)) (*.f64 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)) -1/32)) (*.f64 (sqrt.f64 1/2) (*.f64 (-.f64 1 (sqrt.f64 1/2)) (pow.f64 x 3)))) (/.f64 1/32 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (-.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 (/.f64 3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))) (fma.f64 1/32 (/.f64 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)) (/.f64 1/4 (*.f64 (*.f64 x (sqrt.f64 1/2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))))))
(+.f64 (/.f64 1/8 (*.f64 (*.f64 x x) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3))) (+.f64 (/.f64 (/.f64 1/32 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)) (pow.f64 x 3)) (-.f64 (fma.f64 -1/4 (/.f64 (+.f64 (/.f64 1/8 (*.f64 (+.f64 (sqrt.f64 1/2) -1/2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3))) (/.f64 -1/32 (*.f64 1/4 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (pow.f64 x 3)) (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 (/.f64 3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))) (+.f64 (/.f64 1/4 (*.f64 x (*.f64 (sqrt.f64 1/2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))) (/.f64 (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))))
(+.f64 (/.f64 1/32 (pow.f64 (*.f64 x (-.f64 1 (sqrt.f64 1/2))) 3)) (+.f64 (fma.f64 -1/4 (/.f64 (+.f64 (/.f64 1/8 (*.f64 (+.f64 (sqrt.f64 1/2) -1/2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3))) (/.f64 -1/32 (*.f64 1/4 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (pow.f64 x 3)) (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 (/.f64 3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))) (+.f64 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)) (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))) (*.f64 x x)) (/.f64 -1/4 (*.f64 x (*.f64 (sqrt.f64 1/2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))))))

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f64 1 (/.f64 (/.f64 8 x) x))
0.1b
(/.f64 (/.f64 8 x) x)
0.1b
(/.f64 (/.f64 8 x) x)
✓0.3b
(/.f64 1 (/.f64 (/.f64 8 x) x))
Compiler

Compiled 19 to 13 computations (31.6% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/.f64 1 (/.f64 (/.f64 8 x) x))
0.0ms
x
@0
(/.f64 1 (/.f64 (/.f64 8 x) x))
0.0ms
x
@-inf
(/.f64 1 (/.f64 (/.f64 8 x) x))

rewrite48.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
729×pow1_binary64
685×add-log-exp_binary64
685×log1p-expm1-u_binary64
685×expm1-log1p-u_binary64
671×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0710
11537
219757
Stop Event
1×node limit
Counts
1 → 42
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (/.f64 8 x) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 1/8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 x 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 1/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/8))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 8 x) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 8 x) x) -2)) (cbrt.f64 (*.f64 x (*.f64 x 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sqrt.f64 8) x)) (/.f64 1 (/.f64 (sqrt.f64 8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 -8 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/8) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/8) (pow.f64 (/.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 8 x) x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (/.f64 8 x) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 8) x) -1) (pow.f64 (/.f64 (sqrt.f64 8) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (/.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 8) (/.f64 (cbrt.f64 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 8) (/.f64 (sqrt.f64 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (/.f64 2 (cbrt.f64 x)) 2)) (/.f64 x (/.f64 2 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (/.f64 2 (cbrt.f64 x)) 2)) (/.f64 (cbrt.f64 x) (/.f64 2 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (/.f64 2 (cbrt.f64 x)) 2)) (/.f64 (sqrt.f64 x) (/.f64 2 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 8 x))) (/.f64 x (sqrt.f64 (/.f64 8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 8 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 8 x))) (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (*.f64 x 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x -8) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 -8 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 1/8) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 1/8) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 1/8) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 8 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/8)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/8))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (/.f64 (sqrt.f64 8) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 8 x) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 x 1/8)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/8)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 8 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/8))))))))

simplify140.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
1108×sqr-pow_binary64
618×cube-prod_binary64
555×fabs-mul_binary64
536×pow-sqr_binary64
451×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11284
22384
34484
410684
531584
6123584
7211684
8228084
9246484
10267284
11296384
12335684
13383484
14439584
15507784
16591284
17630884
18660284
19688084
20695084
21698484
22792584
Stop Event
1×node limit
Counts
54 → 43
Calls
Call 1
Inputs
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
Outputs
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))

localize12.0ms (0.2%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.5b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
0.0b
(sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))
0.0b
(+.f64 1/2 (/.f64 -1/2 x))
✓0.0b
(+.f64 1/2 (/.f64 -1/2 x))
✓0.0b
(sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))
✓0.5b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
Compiler

Compiled 27 to 22 computations (18.5% saved)

series6.0ms (0.1%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@0
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
1.0ms
x
@inf
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
0.0ms
x
@-inf
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
0.0ms
x
@0
(sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))
0.0ms
x
@inf
(sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))

rewrite62.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
119928
2248728
Stop Event
1×node limit
Counts
3 → 89
Calls
Call 1
Inputs
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))
(+.f64 1/2 (/.f64 -1/2 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2)) (/.f64 1 (+.f64 1 (+.f64 (+.f64 1/2 (/.f64 -1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/2 (/.f64 -1/2 x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (+.f64 1/2 (/.f64 -1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (-.f64 1/2 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2)) (+.f64 1 (+.f64 (+.f64 1/2 (/.f64 -1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2))) (neg.f64 (+.f64 1 (+.f64 (+.f64 1/2 (/.f64 -1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/2 (/.f64 -1/2 x))) (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) (-.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1/4) (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1/8 (/.f64 -1/8 (pow.f64 x 3)))) (sqrt.f64 (-.f64 (+.f64 1/4 (/.f64 1/4 (*.f64 x x))) (/.f64 -1/4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1/4 (/.f64 1/4 (*.f64 x x)))) (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (-.f64 1/2 (/.f64 -1/2 x))) (/.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 1/2 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1/2 (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1/4) (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1/4) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/8 (/.f64 -1/8 (pow.f64 x 3))) (/.f64 1 (-.f64 (+.f64 1/4 (/.f64 1/4 (*.f64 x x))) (/.f64 -1/4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/4 (/.f64 1/4 (*.f64 x x))) (/.f64 1 (-.f64 1/2 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1/4)) (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 1/4 (/.f64 1/4 (*.f64 x x))) (/.f64 -1/4 x)) (+.f64 1/8 (/.f64 -1/8 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (-.f64 1/4 (/.f64 1/4 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (/.f64 -1/8 (pow.f64 x 3))) (-.f64 (+.f64 1/4 (/.f64 1/4 (*.f64 x x))) (/.f64 -1/4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (/.f64 -1/8 (pow.f64 x 3))) (+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 1/4 (/.f64 -1/4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (/.f64 1/4 (*.f64 x x))) (-.f64 1/2 (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/8 (/.f64 -1/8 (pow.f64 x 3)))) (neg.f64 (-.f64 (+.f64 1/4 (/.f64 1/4 (*.f64 x x))) (/.f64 -1/4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/4 (/.f64 1/4 (*.f64 x x)))) (neg.f64 (-.f64 1/2 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) 1/4) (-.f64 (/.f64 -1/2 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1/2 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1/2 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 1/2 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1/2 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (/.f64 1 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x x))) (cbrt.f64 (/.f64 -1/2 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1/2 (/.f64 -1/2 x))))))))

simplify46.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
851×distribute-neg-frac_binary64
830×fma-neg_binary64
690×cancel-sign-sub-inv_binary64
645×associate-/r*_binary64
388×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041477
1125461
2357453
31234453
45277453
Stop Event
1×node limit
Counts
117 → 107
Calls
Call 1
Inputs
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))) (sqrt.f64 1/2))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))) (sqrt.f64 1/2))
(sqrt.f64 1/2)
(-.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))
(-.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))))
(sqrt.f64 1/2)
(-.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))
(-.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))))
(/.f64 -1/2 x)
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
Outputs
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))) (sqrt.f64 1/2))
(+.f64 1 (-.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (sqrt.f64 1/2)))
(+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (-.f64 1 (sqrt.f64 1/2)))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))) (sqrt.f64 1/2))
(+.f64 1 (-.f64 (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 1/32 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 x x)))) (sqrt.f64 1/2)))
(+.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x))) (-.f64 1 (sqrt.f64 1/2)))
(+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (+.f64 (/.f64 1/16 (*.f64 x (*.f64 (sqrt.f64 1/2) x))) (-.f64 1 (sqrt.f64 1/2))))
(+.f64 1 (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (-.f64 (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)) (sqrt.f64 1/2))))
(+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (+.f64 1 (-.f64 (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)) (sqrt.f64 1/2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))) (sqrt.f64 1/2))
(+.f64 1 (-.f64 (+.f64 (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 1/32 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 x x)))) (/.f64 1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (sqrt.f64 1/2)))
(+.f64 (+.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x))) (/.f64 1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (-.f64 1 (sqrt.f64 1/2)))
(+.f64 (+.f64 1 (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 1/16 (*.f64 x (*.f64 (sqrt.f64 1/2) x))))) (-.f64 (/.f64 1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3))) (sqrt.f64 1/2)))
(+.f64 1 (+.f64 (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)) (+.f64 (/.f64 1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3))) (-.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (sqrt.f64 1/2)))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))) (sqrt.f64 1/2))
(+.f64 1 (-.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (sqrt.f64 1/2)))
(+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (-.f64 1 (sqrt.f64 1/2)))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))) (sqrt.f64 1/2))
(+.f64 1 (-.f64 (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 1/32 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 x x)))) (sqrt.f64 1/2)))
(+.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x))) (-.f64 1 (sqrt.f64 1/2)))
(+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (+.f64 (/.f64 1/16 (*.f64 x (*.f64 (sqrt.f64 1/2) x))) (-.f64 1 (sqrt.f64 1/2))))
(+.f64 1 (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (-.f64 (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)) (sqrt.f64 1/2))))
(+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (+.f64 1 (-.f64 (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)) (sqrt.f64 1/2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))) (sqrt.f64 1/2))
(+.f64 1 (-.f64 (+.f64 (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 1/32 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 x x)))) (/.f64 1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (sqrt.f64 1/2)))
(+.f64 (+.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x))) (/.f64 1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (-.f64 1 (sqrt.f64 1/2)))
(+.f64 (+.f64 1 (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 1/16 (*.f64 x (*.f64 (sqrt.f64 1/2) x))))) (-.f64 (/.f64 1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3))) (sqrt.f64 1/2)))
(+.f64 1 (+.f64 (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)) (+.f64 (/.f64 1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3))) (-.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (sqrt.f64 1/2)))))
(sqrt.f64 1/2)
(-.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)))
(+.f64 (sqrt.f64 1/2) (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)))
(-.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))
(-.f64 (sqrt.f64 1/2) (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 1/32 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 x x)))))
(-.f64 (sqrt.f64 1/2) (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x))))
(+.f64 (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)) (-.f64 (sqrt.f64 1/2) (/.f64 1/16 (*.f64 x (*.f64 (sqrt.f64 1/2) x)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 (/.f64 -1/16 (*.f64 (sqrt.f64 1/2) x)) x)))
(+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 -1/16 (*.f64 x (*.f64 (sqrt.f64 1/2) x)))))
(-.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))))
(-.f64 (-.f64 (sqrt.f64 1/2) (/.f64 1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 1/32 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 x x)))))
(-.f64 (-.f64 (sqrt.f64 1/2) (/.f64 1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x))))
(+.f64 (sqrt.f64 1/2) (-.f64 (/.f64 -1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3))) (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 1/16 (*.f64 x (*.f64 (sqrt.f64 1/2) x))))))
(+.f64 (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)) (+.f64 (+.f64 (sqrt.f64 1/2) (/.f64 -1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (/.f64 (/.f64 -1/16 (*.f64 (sqrt.f64 1/2) x)) x)))
(+.f64 (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)) (+.f64 (+.f64 (sqrt.f64 1/2) (/.f64 -1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (/.f64 -1/16 (*.f64 x (*.f64 (sqrt.f64 1/2) x)))))
(sqrt.f64 1/2)
(-.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)))
(+.f64 (sqrt.f64 1/2) (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)))
(-.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))
(-.f64 (sqrt.f64 1/2) (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 1/32 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 x x)))))
(-.f64 (sqrt.f64 1/2) (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x))))
(+.f64 (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)) (-.f64 (sqrt.f64 1/2) (/.f64 1/16 (*.f64 x (*.f64 (sqrt.f64 1/2) x)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 (/.f64 -1/16 (*.f64 (sqrt.f64 1/2) x)) x)))
(+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 -1/16 (*.f64 x (*.f64 (sqrt.f64 1/2) x)))))
(-.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))))
(-.f64 (-.f64 (sqrt.f64 1/2) (/.f64 1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 1/32 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 x x)))))
(-.f64 (-.f64 (sqrt.f64 1/2) (/.f64 1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x))))
(+.f64 (sqrt.f64 1/2) (-.f64 (/.f64 -1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3))) (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 1/16 (*.f64 x (*.f64 (sqrt.f64 1/2) x))))))
(+.f64 (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)) (+.f64 (+.f64 (sqrt.f64 1/2) (/.f64 -1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (/.f64 (/.f64 -1/16 (*.f64 (sqrt.f64 1/2) x)) x)))
(+.f64 (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)) (+.f64 (+.f64 (sqrt.f64 1/2) (/.f64 -1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (/.f64 -1/16 (*.f64 x (*.f64 (sqrt.f64 1/2) x)))))
(/.f64 -1/2 x)
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
(+.f64 1/2 (/.f64 -1/2 x))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
(+.f64 1/2 (/.f64 -1/2 x))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
(+.f64 1/2 (/.f64 -1/2 x))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
(+.f64 1/2 (/.f64 -1/2 x))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
(+.f64 1/2 (/.f64 -1/2 x))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
(+.f64 1/2 (/.f64 -1/2 x))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
(+.f64 1/2 (/.f64 -1/2 x))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
(+.f64 1/2 (/.f64 -1/2 x))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
(+.f64 1/2 (/.f64 -1/2 x))

localize24.0ms (0.3%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.6b
(/.f64 1 (+.f64 11/2 (fma.f64 (*.f64 x x) -17/32 (*.f64 (/.f64 8 x) (/.f64 1 x)))))
0.3b
(*.f64 (/.f64 8 x) (/.f64 1 x))
0.1b
(fma.f64 (*.f64 x x) -17/32 (*.f64 (/.f64 8 x) (/.f64 1 x)))
0.0b
(+.f64 11/2 (fma.f64 (*.f64 x x) -17/32 (*.f64 (/.f64 8 x) (/.f64 1 x))))
✓0.0b
(+.f64 11/2 (fma.f64 (*.f64 x x) -17/32 (*.f64 (/.f64 8 x) (/.f64 1 x))))
✓0.1b
(fma.f64 (*.f64 x x) -17/32 (*.f64 (/.f64 8 x) (/.f64 1 x)))
✓0.3b
(*.f64 (/.f64 8 x) (/.f64 1 x))
✓0.6b
(/.f64 1 (+.f64 11/2 (fma.f64 (*.f64 x x) -17/32 (*.f64 (/.f64 8 x) (/.f64 1 x)))))
Compiler

Compiled 64 to 42 computations (34.4% saved)

series4.0ms (0%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 1 (+.f64 11/2 (fma.f64 (*.f64 x x) -17/32 (*.f64 (/.f64 8 x) (/.f64 1 x)))))
0.0ms
x
@inf
(/.f64 1 (+.f64 11/2 (fma.f64 (*.f64 x x) -17/32 (*.f64 (/.f64 8 x) (/.f64 1 x)))))
0.0ms
x
@-inf
(/.f64 1 (+.f64 11/2 (fma.f64 (*.f64 x x) -17/32 (*.f64 (/.f64 8 x) (/.f64 1 x)))))
0.0ms
x
@-inf
(fma.f64 (*.f64 x x) -17/32 (*.f64 (/.f64 8 x) (/.f64 1 x)))
0.0ms
x
@inf
(+.f64 11/2 (fma.f64 (*.f64 x x) -17/32 (*.f64 (/.f64 8 x) (/.f64 1 x))))

rewrite78.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
557×log-prod_binary64
326×pow2_binary64
304×prod-diff_binary64
228×pow1/3_binary64
228×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01358
128758
2351354
Stop Event
1×node limit
Counts
4 → 166
Calls
Call 1
Inputs
(/.f64 1 (+.f64 11/2 (fma.f64 (*.f64 x x) -17/32 (*.f64 (/.f64 8 x) (/.f64 1 x)))))
(*.f64 (/.f64 8 x) (/.f64 1 x))
(fma.f64 (*.f64 x x) -17/32 (*.f64 (/.f64 8 x) (/.f64 1 x)))
(+.f64 11/2 (fma.f64 (*.f64 x x) -17/32 (*.f64 (/.f64 8 x) (/.f64 1 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)))) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)) -1/2) (pow.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2))) -2) (cbrt.f64 (/.f64 1 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 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(fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)) -1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (fma.f64 x (*.f64 x -17/32) (*.f64 8 (pow.f64 x -2))) (-.f64 (fma.f64 x (*.f64 x -17/32) (*.f64 8 (pow.f64 x -2))) 11/2) 121/4) (+.f64 1331/8 (pow.f64 (fma.f64 x (*.f64 x -17/32) (*.f64 8 (pow.f64 x -2))) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 11/2 (fma.f64 x (*.f64 x -17/32) (*.f64 8 (pow.f64 x -2)))) 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8 (pow.f64 x -2)))) 11/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) -17/32) (fma.f64 8 (pow.f64 x -2) 11/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x -17/32) (*.f64 8 (pow.f64 x -2)))) (sqrt.f64 (fma.f64 x (*.f64 x -17/32) (*.f64 8 (pow.f64 x -2)))) 11/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -17/32))) 2) (cbrt.f64 (*.f64 x (*.f64 x -17/32))) (fma.f64 8 (pow.f64 x -2) 11/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (*.f64 x -17/32))) (sqrt.f64 (*.f64 x (*.f64 x -17/32))) (fma.f64 8 (pow.f64 x -2) 11/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2))))))))

simplify61.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
519×fma-def_binary64
478×distribute-lft-out_binary64
448×distribute-neg-frac_binary64
440×associate-/r*_binary64
413×unswap-sqr_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
056660
1140614
2360614
31134614
44692614
Stop Event
1×node limit
Counts
214 → 194
Calls
Call 1
Inputs
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 -1705/32768 (pow.f64 x 8)))))
(/.f64 -32/17 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 5632/289 (/.f64 1 (pow.f64 x 4))) (*.f64 32/17 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 32/17 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1130496/4913 (/.f64 1 (pow.f64 x 6))) (*.f64 5632/289 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (*.f64 223477760/83521 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 32/17 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1130496/4913 (/.f64 1 (pow.f64 x 6))) (*.f64 5632/289 (/.f64 1 (pow.f64 x 4)))))))
(/.f64 -32/17 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 5632/289 (/.f64 1 (pow.f64 x 4))) (*.f64 32/17 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 32/17 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1130496/4913 (/.f64 1 (pow.f64 x 6))) (*.f64 5632/289 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (*.f64 223477760/83521 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 32/17 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1130496/4913 (/.f64 1 (pow.f64 x 6))) (*.f64 5632/289 (/.f64 1 (pow.f64 x 4)))))))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(*.f64 -17/32 (pow.f64 x 2))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(*.f64 -17/32 (pow.f64 x 2))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(/.f64 8 (pow.f64 x 2))
(+.f64 11/2 (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(+.f64 11/2 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2))))
(+.f64 11/2 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2))))
(*.f64 -17/32 (pow.f64 x 2))
(+.f64 11/2 (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (+.f64 11/2 (*.f64 -17/32 (pow.f64 x 2))))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (+.f64 11/2 (*.f64 -17/32 (pow.f64 x 2))))
(*.f64 -17/32 (pow.f64 x 2))
(+.f64 11/2 (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (+.f64 11/2 (*.f64 -17/32 (pow.f64 x 2))))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (+.f64 11/2 (*.f64 -17/32 (pow.f64 x 2))))
Outputs
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -11/128) 1/8)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -11/128 1/8)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -11/128 (pow.f64 x 4) (*.f64 69/1024 (pow.f64 x 6))))
(fma.f64 -11/128 (pow.f64 x 4) (fma.f64 69/1024 (pow.f64 x 6) (*.f64 1/8 (*.f64 x x))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 -1705/32768 (pow.f64 x 8)))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 69/1024 (pow.f64 x 6) (fma.f64 -11/128 (pow.f64 x 4) (*.f64 -1705/32768 (pow.f64 x 8)))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -1705/32768 (pow.f64 x 8)))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -11/128) 1/8) (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -1705/32768 (pow.f64 x 8))))
(fma.f64 -11/128 (pow.f64 x 4) (fma.f64 -1705/32768 (pow.f64 x 8) (fma.f64 69/1024 (pow.f64 x 6) (*.f64 1/8 (*.f64 x x)))))
(/.f64 -32/17 (pow.f64 x 2))
(/.f64 -32/17 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 5632/289 (/.f64 1 (pow.f64 x 4))) (*.f64 32/17 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 5632/289 (pow.f64 x 4)) (/.f64 32/17 (*.f64 x x))))
(+.f64 (/.f64 -32/17 (*.f64 x x)) (/.f64 -5632/289 (pow.f64 x 4)))
(-.f64 (/.f64 -5632/289 (pow.f64 x 4)) (/.f64 32/17 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 32/17 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1130496/4913 (/.f64 1 (pow.f64 x 6))) (*.f64 5632/289 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (/.f64 32/17 (*.f64 x x)) (+.f64 (/.f64 5632/289 (pow.f64 x 4)) (/.f64 1130496/4913 (pow.f64 x 6)))))
(-.f64 (/.f64 -32/17 (*.f64 x x)) (+.f64 (/.f64 5632/289 (pow.f64 x 4)) (/.f64 1130496/4913 (pow.f64 x 6))))
(+.f64 (/.f64 -32/17 (*.f64 x x)) (+.f64 (/.f64 -5632/289 (pow.f64 x 4)) (/.f64 -1130496/4913 (pow.f64 x 6))))
(+.f64 (/.f64 -5632/289 (pow.f64 x 4)) (+.f64 (/.f64 -32/17 (*.f64 x x)) (/.f64 -1130496/4913 (pow.f64 x 6))))
(neg.f64 (+.f64 (*.f64 223477760/83521 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 32/17 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1130496/4913 (/.f64 1 (pow.f64 x 6))) (*.f64 5632/289 (/.f64 1 (pow.f64 x 4)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 32/17 (*.f64 x x)) (+.f64 (/.f64 5632/289 (pow.f64 x 4)) (/.f64 1130496/4913 (pow.f64 x 6)))) (/.f64 223477760/83521 (pow.f64 x 8))))
(-.f64 (/.f64 -223477760/83521 (pow.f64 x 8)) (+.f64 (/.f64 5632/289 (pow.f64 x 4)) (+.f64 (/.f64 32/17 (*.f64 x x)) (/.f64 1130496/4913 (pow.f64 x 6)))))
(+.f64 (+.f64 (/.f64 -5632/289 (pow.f64 x 4)) (/.f64 -1130496/4913 (pow.f64 x 6))) (+.f64 (/.f64 -32/17 (*.f64 x x)) (/.f64 -223477760/83521 (pow.f64 x 8))))
(+.f64 (+.f64 (/.f64 -5632/289 (pow.f64 x 4)) (+.f64 (/.f64 -32/17 (*.f64 x x)) (/.f64 -1130496/4913 (pow.f64 x 6)))) (/.f64 -223477760/83521 (pow.f64 x 8)))
(/.f64 -32/17 (pow.f64 x 2))
(/.f64 -32/17 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 5632/289 (/.f64 1 (pow.f64 x 4))) (*.f64 32/17 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 5632/289 (pow.f64 x 4)) (/.f64 32/17 (*.f64 x x))))
(+.f64 (/.f64 -32/17 (*.f64 x x)) (/.f64 -5632/289 (pow.f64 x 4)))
(-.f64 (/.f64 -5632/289 (pow.f64 x 4)) (/.f64 32/17 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 32/17 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1130496/4913 (/.f64 1 (pow.f64 x 6))) (*.f64 5632/289 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (/.f64 32/17 (*.f64 x x)) (+.f64 (/.f64 5632/289 (pow.f64 x 4)) (/.f64 1130496/4913 (pow.f64 x 6)))))
(-.f64 (/.f64 -32/17 (*.f64 x x)) (+.f64 (/.f64 5632/289 (pow.f64 x 4)) (/.f64 1130496/4913 (pow.f64 x 6))))
(+.f64 (/.f64 -32/17 (*.f64 x x)) (+.f64 (/.f64 -5632/289 (pow.f64 x 4)) (/.f64 -1130496/4913 (pow.f64 x 6))))
(+.f64 (/.f64 -5632/289 (pow.f64 x 4)) (+.f64 (/.f64 -32/17 (*.f64 x x)) (/.f64 -1130496/4913 (pow.f64 x 6))))
(neg.f64 (+.f64 (*.f64 223477760/83521 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 32/17 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1130496/4913 (/.f64 1 (pow.f64 x 6))) (*.f64 5632/289 (/.f64 1 (pow.f64 x 4)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 32/17 (*.f64 x x)) (+.f64 (/.f64 5632/289 (pow.f64 x 4)) (/.f64 1130496/4913 (pow.f64 x 6)))) (/.f64 223477760/83521 (pow.f64 x 8))))
(-.f64 (/.f64 -223477760/83521 (pow.f64 x 8)) (+.f64 (/.f64 5632/289 (pow.f64 x 4)) (+.f64 (/.f64 32/17 (*.f64 x x)) (/.f64 1130496/4913 (pow.f64 x 6)))))
(+.f64 (+.f64 (/.f64 -5632/289 (pow.f64 x 4)) (/.f64 -1130496/4913 (pow.f64 x 6))) (+.f64 (/.f64 -32/17 (*.f64 x x)) (/.f64 -223477760/83521 (pow.f64 x 8))))
(+.f64 (+.f64 (/.f64 -5632/289 (pow.f64 x 4)) (+.f64 (/.f64 -32/17 (*.f64 x x)) (/.f64 -1130496/4913 (pow.f64 x 6)))) (/.f64 -223477760/83521 (pow.f64 x 8)))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(/.f64 (/.f64 8 x) x)
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(/.f64 (/.f64 8 x) x)
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(/.f64 (/.f64 8 x) x)
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(/.f64 (/.f64 8 x) x)
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(/.f64 (/.f64 8 x) x)
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(/.f64 (/.f64 8 x) x)
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(/.f64 (/.f64 8 x) x)
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(/.f64 (/.f64 8 x) x)
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(/.f64 (/.f64 8 x) x)
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(/.f64 (/.f64 8 x) x)
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(/.f64 (/.f64 8 x) x)
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(/.f64 (/.f64 8 x) x)
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(/.f64 (/.f64 8 x) x)
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (/.f64 8 (*.f64 x x)) (*.f64 (*.f64 x x) -17/32))
(fma.f64 (*.f64 x x) -17/32 (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 (/.f64 8 x) x))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (/.f64 8 (*.f64 x x)) (*.f64 (*.f64 x x) -17/32))
(fma.f64 (*.f64 x x) -17/32 (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 (/.f64 8 x) x))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (/.f64 8 (*.f64 x x)) (*.f64 (*.f64 x x) -17/32))
(fma.f64 (*.f64 x x) -17/32 (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 (/.f64 8 x) x))
(*.f64 -17/32 (pow.f64 x 2))
(*.f64 (*.f64 x x) -17/32)
(*.f64 x (*.f64 x -17/32))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (/.f64 8 (*.f64 x x)) (*.f64 (*.f64 x x) -17/32))
(fma.f64 (*.f64 x x) -17/32 (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 (/.f64 8 x) x))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (/.f64 8 (*.f64 x x)) (*.f64 (*.f64 x x) -17/32))
(fma.f64 (*.f64 x x) -17/32 (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 (/.f64 8 x) x))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (/.f64 8 (*.f64 x x)) (*.f64 (*.f64 x x) -17/32))
(fma.f64 (*.f64 x x) -17/32 (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 (/.f64 8 x) x))
(*.f64 -17/32 (pow.f64 x 2))
(*.f64 (*.f64 x x) -17/32)
(*.f64 x (*.f64 x -17/32))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (/.f64 8 (*.f64 x x)) (*.f64 (*.f64 x x) -17/32))
(fma.f64 (*.f64 x x) -17/32 (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 (/.f64 8 x) x))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (/.f64 8 (*.f64 x x)) (*.f64 (*.f64 x x) -17/32))
(fma.f64 (*.f64 x x) -17/32 (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 (/.f64 8 x) x))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (/.f64 8 (*.f64 x x)) (*.f64 (*.f64 x x) -17/32))
(fma.f64 (*.f64 x x) -17/32 (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 (/.f64 8 x) x))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(/.f64 (/.f64 8 x) x)
(+.f64 11/2 (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 8 (*.f64 x x)) 11/2)
(+.f64 (/.f64 (/.f64 8 x) x) 11/2)
(+.f64 11/2 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2))))
(+.f64 (/.f64 8 (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) -17/32) 11/2))
(+.f64 (/.f64 8 (*.f64 x x)) (fma.f64 (*.f64 x x) -17/32 11/2))
(+.f64 (/.f64 8 (*.f64 x x)) (fma.f64 x (*.f64 x -17/32) 11/2))
(+.f64 (/.f64 (/.f64 8 x) x) (fma.f64 x (*.f64 x -17/32) 11/2))
(+.f64 11/2 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2))))
(+.f64 (/.f64 8 (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) -17/32) 11/2))
(+.f64 (/.f64 8 (*.f64 x x)) (fma.f64 (*.f64 x x) -17/32 11/2))
(+.f64 (/.f64 8 (*.f64 x x)) (fma.f64 x (*.f64 x -17/32) 11/2))
(+.f64 (/.f64 (/.f64 8 x) x) (fma.f64 x (*.f64 x -17/32) 11/2))
(*.f64 -17/32 (pow.f64 x 2))
(*.f64 (*.f64 x x) -17/32)
(*.f64 x (*.f64 x -17/32))
(+.f64 11/2 (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (*.f64 (*.f64 x x) -17/32) 11/2)
(fma.f64 (*.f64 x x) -17/32 11/2)
(fma.f64 x (*.f64 x -17/32) 11/2)
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (+.f64 11/2 (*.f64 -17/32 (pow.f64 x 2))))
(+.f64 (/.f64 8 (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) -17/32) 11/2))
(+.f64 (/.f64 8 (*.f64 x x)) (fma.f64 (*.f64 x x) -17/32 11/2))
(+.f64 (/.f64 8 (*.f64 x x)) (fma.f64 x (*.f64 x -17/32) 11/2))
(+.f64 (/.f64 (/.f64 8 x) x) (fma.f64 x (*.f64 x -17/32) 11/2))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (+.f64 11/2 (*.f64 -17/32 (pow.f64 x 2))))
(+.f64 (/.f64 8 (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) -17/32) 11/2))
(+.f64 (/.f64 8 (*.f64 x x)) (fma.f64 (*.f64 x x) -17/32 11/2))
(+.f64 (/.f64 8 (*.f64 x x)) (fma.f64 x (*.f64 x -17/32) 11/2))
(+.f64 (/.f64 (/.f64 8 x) x) (fma.f64 x (*.f64 x -17/32) 11/2))
(*.f64 -17/32 (pow.f64 x 2))
(*.f64 (*.f64 x x) -17/32)
(*.f64 x (*.f64 x -17/32))
(+.f64 11/2 (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (*.f64 (*.f64 x x) -17/32) 11/2)
(fma.f64 (*.f64 x x) -17/32 11/2)
(fma.f64 x (*.f64 x -17/32) 11/2)
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (+.f64 11/2 (*.f64 -17/32 (pow.f64 x 2))))
(+.f64 (/.f64 8 (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) -17/32) 11/2))
(+.f64 (/.f64 8 (*.f64 x x)) (fma.f64 (*.f64 x x) -17/32 11/2))
(+.f64 (/.f64 8 (*.f64 x x)) (fma.f64 x (*.f64 x -17/32) 11/2))
(+.f64 (/.f64 (/.f64 8 x) x) (fma.f64 x (*.f64 x -17/32) 11/2))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (+.f64 11/2 (*.f64 -17/32 (pow.f64 x 2))))
(+.f64 (/.f64 8 (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) -17/32) 11/2))
(+.f64 (/.f64 8 (*.f64 x x)) (fma.f64 (*.f64 x x) -17/32 11/2))
(+.f64 (/.f64 8 (*.f64 x x)) (fma.f64 x (*.f64 x -17/32) 11/2))
(+.f64 (/.f64 (/.f64 8 x) x) (fma.f64 x (*.f64 x -17/32) 11/2))

localize30.0ms (0.4%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
0.0b
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
0.0b
(/.f64 1/2 (hypot.f64 1 x))
0.0b
(+.f64 1/2 (/.f64 1/2 x))
0.0b
(/.f64 1/2 (hypot.f64 1 x))
0.0b
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
0.0b
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
✓0.0b
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
Compiler

Compiled 61 to 51 computations (16.4% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
1.0ms
x
@-inf
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
1.0ms
x
@0
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))

rewrite86.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
636×log-prod_binary64
551×prod-diff_binary64
350×fma-def_binary64
254×log-div_binary64
247×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01224
128024
2399024
Stop Event
1×node limit
Counts
1 → 38
Calls
Call 1
Inputs
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
Outputs
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(+.f64 1/2 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 2)) 1) (/.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2))) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 2)) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2))) (cbrt.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2))) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4))) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 2)) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4))) (/.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) (-.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 1/2 (/.f64 1/2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (+.f64 1/2 (/.f64 1/2 x))) (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 1/2 (/.f64 1/2 x))) (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))))))

simplify62.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
767×times-frac_binary64
518×associate-*l*_binary64
501×fma-def_binary64
402×associate-/l*_binary64
345×associate-+l+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01241102
1444914
21766839
Stop Event
1×node limit
Counts
50 → 59
Calls
Call 1
Inputs
(/.f64 1/4 x)
(+.f64 1/4 (*.f64 1/4 (/.f64 1 x)))
(+.f64 1/4 (+.f64 (*.f64 1/64 x) (*.f64 1/4 (/.f64 1 x))))
(+.f64 1/4 (+.f64 (*.f64 1/64 x) (+.f64 (*.f64 1/4 (/.f64 1 x)) (*.f64 1/64 (pow.f64 x 2)))))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(-.f64 (+.f64 (/.f64 1/2 (*.f64 (+.f64 (sqrt.f64 1/2) 1) x)) (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1)))) (/.f64 1/8 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 1 (sqrt.f64 1/2)) x)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) x))) (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))))) (+.f64 (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 1 (sqrt.f64 1/2)) x)))))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/32 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (pow.f64 (sqrt.f64 1/2) 3)))) (+.f64 (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (sqrt.f64 1/2)))))) (pow.f64 x 3))) (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1)))))) (+.f64 (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 1 (sqrt.f64 1/2)) x)))))))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(+.f64 (/.f64 1/8 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 1 (sqrt.f64 1/2)) x)))) (+.f64 (/.f64 1/2 (*.f64 (+.f64 (sqrt.f64 1/2) 1) x)) (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) x))) (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 1 (sqrt.f64 1/2)) x)))))))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) x))) (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (*.f64 1/32 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 3))))) (+.f64 (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1)))) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))))) (+.f64 (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 3)))))) (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 1 (sqrt.f64 1/2)) x))))))))))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))))))
Outputs
(/.f64 1/4 x)
(+.f64 1/4 (*.f64 1/4 (/.f64 1 x)))
(+.f64 1/4 (/.f64 1/4 x))
(+.f64 1/4 (+.f64 (*.f64 1/64 x) (*.f64 1/4 (/.f64 1 x))))
(+.f64 1/4 (fma.f64 1/64 x (/.f64 1/4 x)))
(+.f64 1/4 (fma.f64 x 1/64 (/.f64 1/4 x)))
(+.f64 1/4 (+.f64 (*.f64 1/64 x) (+.f64 (*.f64 1/4 (/.f64 1 x)) (*.f64 1/64 (pow.f64 x 2)))))
(+.f64 1/4 (+.f64 (fma.f64 1/64 x (/.f64 1/4 x)) (*.f64 1/64 (*.f64 x x))))
(+.f64 1/4 (fma.f64 x 1/64 (fma.f64 1/64 (*.f64 x x) (/.f64 1/4 x))))
(fma.f64 x 1/64 (+.f64 (/.f64 1/4 x) (fma.f64 x (*.f64 x 1/64) 1/4)))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 (+.f64 (/.f64 1/2 (*.f64 (+.f64 (sqrt.f64 1/2) 1) x)) (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1)))) (/.f64 1/8 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 1 (sqrt.f64 1/2)) x)))))
(+.f64 (/.f64 1/2 (*.f64 x (+.f64 1 (sqrt.f64 1/2)))) (-.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/8 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 x (+.f64 1 (sqrt.f64 1/2))))))))
(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (-.f64 (/.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) x) (/.f64 1/8 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (*.f64 x (+.f64 1/2 (sqrt.f64 1/2)))))))
(+.f64 (/.f64 1/2 (fma.f64 x (sqrt.f64 1/2) x)) (-.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/8 (*.f64 (fma.f64 x (sqrt.f64 1/2) x) (+.f64 1/2 (sqrt.f64 1/2))))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) x))) (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))))) (+.f64 (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 1 (sqrt.f64 1/2)) x)))))))
(+.f64 (/.f64 1/2 (*.f64 x (+.f64 1 (sqrt.f64 1/2)))) (-.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/64 (*.f64 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 (sqrt.f64 1/2) 3)) (*.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 1/2)))))) (fma.f64 1/4 (/.f64 (-.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/8 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (*.f64 (*.f64 x x) (sqrt.f64 1/2)))) (/.f64 1/8 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 x (+.f64 1 (sqrt.f64 1/2)))))))))
(+.f64 (/.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) x) (-.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/64 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (*.f64 (*.f64 x x) (+.f64 1/4 (*.f64 1/2 (sqrt.f64 1/2))))))) (fma.f64 1/4 (/.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 -1/8 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1/2 (sqrt.f64 1/2))))) (*.f64 (*.f64 x x) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 1/8 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (*.f64 x (+.f64 1/2 (sqrt.f64 1/2))))))))
(-.f64 (+.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/2 (fma.f64 x (sqrt.f64 1/2) x))) (/.f64 1/64 (*.f64 x (*.f64 (fma.f64 x (sqrt.f64 1/2) x) (fma.f64 1/2 (sqrt.f64 1/2) 1/4))))) (fma.f64 1/4 (/.f64 (-.f64 (/.f64 1/2 (+.f64 1/2 (sqrt.f64 1/2))) (/.f64 1/8 (*.f64 (+.f64 1/2 (sqrt.f64 1/2)) (+.f64 1/2 (sqrt.f64 1/2))))) (*.f64 x (fma.f64 x (sqrt.f64 1/2) x))) (/.f64 1/8 (*.f64 (fma.f64 x (sqrt.f64 1/2) x) (+.f64 1/2 (sqrt.f64 1/2))))))
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(+.f64 (/.f64 1/2 (fma.f64 x (sqrt.f64 1/2) x)) (+.f64 (/.f64 1/64 (*.f64 x (*.f64 (fma.f64 x (sqrt.f64 1/2) x) (fma.f64 1/2 (sqrt.f64 1/2) 1/4)))) (+.f64 (*.f64 (/.f64 1/4 (+.f64 1/2 (sqrt.f64 1/2))) (+.f64 (/.f64 (-.f64 (/.f64 1/64 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (fma.f64 1/2 (sqrt.f64 1/2) 1/4))) (/.f64 (+.f64 (/.f64 -1/8 (+.f64 1 (sqrt.f64 1/2))) (/.f64 -1/32 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1/2 (sqrt.f64 1/2))))) (+.f64 1/2 (sqrt.f64 1/2)))) (pow.f64 x 3)) (/.f64 -3/16 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 3))))) (-.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (+.f64 (/.f64 1/8 (*.f64 (fma.f64 x (sqrt.f64 1/2) x) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 (+.f64 (/.f64 1/64 (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/256 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1/2 (sqrt.f64 1/2))))) (*.f64 (fma.f64 1/2 (sqrt.f64 1/2) 1/4) (pow.f64 x 3))))) (/.f64 (/.f64 (+.f64 (/.f64 -1/8 (+.f64 1 (sqrt.f64 1/2))) (/.f64 -1/32 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1/2 (sqrt.f64 1/2))))) (+.f64 1/2 (sqrt.f64 1/2))) (*.f64 x x))))))

eval678.0ms (9%)

Compiler

Compiled 21008 to 18354 computations (12.6% saved)

prune126.0ms (1.7%)

Pruning

20 alts after pruning (9 fresh and 11 done)

PrunedKeptTotal
New9247931
Fresh325
Picked101
Done11112
Total92920949
Error
0b
Counts
949 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
✓30.9b
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
16.5b
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3)
31.2b
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))
31.8b
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
✓32.3b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
55.8b
(+.f64 1/4 (/.f64 1/4 x))
✓47.0b
(-.f64 1 1)
62.0b
(/.f64 1/4 x)
✓15.4b
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
✓31.8b
(/.f64 1 (+.f64 11/2 (fma.f64 (*.f64 x x) -17/32 (/.f64 (/.f64 8 x) x))))
✓31.8b
(/.f64 1 (+.f64 11/2 (fma.f64 (*.f64 x x) -17/32 (*.f64 (/.f64 8 x) (/.f64 1 x)))))
32.3b
(-.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 3/2))
31.8b
(*.f64 1/8 (/.f64 x (/.f64 1 x)))
32.3b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
26.4b
(/.f64 1 (+.f64 (/.f64 (/.f64 8 x) x) 11/2))
✓15.9b
(/.f64 1 (+.f64 0 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
✓31.4b
(-.f64 1 (sqrt.f64 1/2))
✓15.4b
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
✓15.9b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
✓31.7b
(*.f64 1/8 (*.f64 x x))
Compiler

Compiled 228 to 198 computations (13.2% saved)

regimes55.0ms (0.7%)

Counts
20 → 3
Calls
Call 1
Inputs
(/.f64 1/4 x)
(-.f64 1 1)
(*.f64 1/8 (*.f64 x x))
(+.f64 1/4 (/.f64 1/4 x))
(*.f64 1/8 (/.f64 x (/.f64 1 x)))
(/.f64 1 (+.f64 (/.f64 (/.f64 8 x) x) 11/2))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(/.f64 1 (+.f64 11/2 (fma.f64 (*.f64 x x) -17/32 (/.f64 (/.f64 8 x) x))))
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(/.f64 1 (+.f64 11/2 (fma.f64 (*.f64 x x) -17/32 (*.f64 (/.f64 8 x) (/.f64 1 x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(-.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 3/2))
(/.f64 1 (+.f64 0 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3)
Outputs
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))
(*.f64 1/8 (*.f64 x x))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
Calls

3 calls:

28.0ms
x
10.0ms
(hypot.f64 1 x)
9.0ms
(hypot.f64 1 x)
Results
ErrorSegmentsBranch
0.1b3x
0.1b2(hypot.f64 1 x)
0.1b2(hypot.f64 1 x)
Compiler

Compiled 219 to 184 computations (16% saved)

bsearch50.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
24.0ms
8.846986576458453e-7
0.8188976769651339
26.0ms
-5535816155.602623
-1.9082811248979866e-7
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes52.0ms (0.7%)

Counts
18 → 3
Calls
Call 1
Inputs
(/.f64 1/4 x)
(-.f64 1 1)
(*.f64 1/8 (*.f64 x x))
(+.f64 1/4 (/.f64 1/4 x))
(*.f64 1/8 (/.f64 x (/.f64 1 x)))
(/.f64 1 (+.f64 (/.f64 (/.f64 8 x) x) 11/2))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(/.f64 1 (+.f64 11/2 (fma.f64 (*.f64 x x) -17/32 (/.f64 (/.f64 8 x) x))))
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(/.f64 1 (+.f64 11/2 (fma.f64 (*.f64 x x) -17/32 (*.f64 (/.f64 8 x) (/.f64 1 x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(-.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 3/2))
(/.f64 1 (+.f64 0 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
Outputs
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))
(*.f64 1/8 (*.f64 x x))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
Calls

3 calls:

27.0ms
x
11.0ms
(hypot.f64 1 x)
8.0ms
(hypot.f64 1 x)
Results
ErrorSegmentsBranch
0.1b3x
0.1b2(hypot.f64 1 x)
0.1b2(hypot.f64 1 x)
Compiler

Compiled 186 to 154 computations (17.2% saved)

bsearch52.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
28.0ms
8.846986576458453e-7
0.8188976769651339
23.0ms
-5535816155.602623
-1.9082811248979866e-7
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes48.0ms (0.6%)

Counts
17 → 3
Calls
Call 1
Inputs
(/.f64 1/4 x)
(-.f64 1 1)
(*.f64 1/8 (*.f64 x x))
(+.f64 1/4 (/.f64 1/4 x))
(*.f64 1/8 (/.f64 x (/.f64 1 x)))
(/.f64 1 (+.f64 (/.f64 (/.f64 8 x) x) 11/2))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(/.f64 1 (+.f64 11/2 (fma.f64 (*.f64 x x) -17/32 (/.f64 (/.f64 8 x) x))))
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(/.f64 1 (+.f64 11/2 (fma.f64 (*.f64 x x) -17/32 (*.f64 (/.f64 8 x) (/.f64 1 x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(-.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 3/2))
(/.f64 1 (+.f64 0 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))
Outputs
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))
(*.f64 1/8 (*.f64 x x))
(/.f64 1 (+.f64 0 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
Calls

3 calls:

25.0ms
x
9.0ms
(hypot.f64 1 x)
7.0ms
(hypot.f64 1 x)
Results
ErrorSegmentsBranch
0.3b3x
0.6b2(hypot.f64 1 x)
0.6b2(hypot.f64 1 x)
Compiler

Compiled 168 to 138 computations (17.9% saved)

bsearch48.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
22.0ms
8.846986576458453e-7
0.8188976769651339
25.0ms
-5535816155.602623
-1.9082811248979866e-7
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes50.0ms (0.7%)

Counts
16 → 3
Calls
Call 1
Inputs
(/.f64 1/4 x)
(-.f64 1 1)
(*.f64 1/8 (*.f64 x x))
(+.f64 1/4 (/.f64 1/4 x))
(*.f64 1/8 (/.f64 x (/.f64 1 x)))
(/.f64 1 (+.f64 (/.f64 (/.f64 8 x) x) 11/2))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(/.f64 1 (+.f64 11/2 (fma.f64 (*.f64 x x) -17/32 (/.f64 (/.f64 8 x) x))))
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(/.f64 1 (+.f64 11/2 (fma.f64 (*.f64 x x) -17/32 (*.f64 (/.f64 8 x) (/.f64 1 x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(-.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 3/2))
(/.f64 1 (+.f64 0 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
Outputs
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(*.f64 1/8 (*.f64 x x))
(/.f64 1 (+.f64 0 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
Calls

3 calls:

28.0ms
x
9.0ms
(hypot.f64 1 x)
7.0ms
(hypot.f64 1 x)
Results
ErrorSegmentsBranch
0.3b3x
0.6b2(hypot.f64 1 x)
0.6b2(hypot.f64 1 x)
Compiler

Compiled 149 to 121 computations (18.8% saved)

bsearch45.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
21.0ms
8.846986576458453e-7
0.8188976769651339
23.0ms
-5535816155.602623
-1.9082811248979866e-7
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes44.0ms (0.6%)

Counts
15 → 3
Calls
Call 1
Inputs
(/.f64 1/4 x)
(-.f64 1 1)
(*.f64 1/8 (*.f64 x x))
(+.f64 1/4 (/.f64 1/4 x))
(*.f64 1/8 (/.f64 x (/.f64 1 x)))
(/.f64 1 (+.f64 (/.f64 (/.f64 8 x) x) 11/2))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(/.f64 1 (+.f64 11/2 (fma.f64 (*.f64 x x) -17/32 (/.f64 (/.f64 8 x) x))))
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(/.f64 1 (+.f64 11/2 (fma.f64 (*.f64 x x) -17/32 (*.f64 (/.f64 8 x) (/.f64 1 x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(-.f64 1 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 3/2))
Outputs
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(*.f64 1/8 (*.f64 x x))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
Calls

3 calls:

25.0ms
x
7.0ms
(hypot.f64 1 x)
7.0ms
(hypot.f64 1 x)
Results
ErrorSegmentsBranch
0.3b3x
0.6b2(hypot.f64 1 x)
0.6b2(hypot.f64 1 x)
Compiler

Compiled 133 to 106 computations (20.3% saved)

bsearch45.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
22.0ms
8.846986576458453e-7
0.8188976769651339
23.0ms
-5535816155.602623
-1.9082811248979866e-7
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes32.0ms (0.4%)

Counts
13 → 3
Calls
Call 1
Inputs
(/.f64 1/4 x)
(-.f64 1 1)
(*.f64 1/8 (*.f64 x x))
(+.f64 1/4 (/.f64 1/4 x))
(*.f64 1/8 (/.f64 x (/.f64 1 x)))
(/.f64 1 (+.f64 (/.f64 (/.f64 8 x) x) 11/2))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(/.f64 1 (+.f64 11/2 (fma.f64 (*.f64 x x) -17/32 (/.f64 (/.f64 8 x) x))))
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(/.f64 1 (+.f64 11/2 (fma.f64 (*.f64 x x) -17/32 (*.f64 (/.f64 8 x) (/.f64 1 x)))))
Outputs
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(*.f64 1/8 (*.f64 x x))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
Calls

1 calls:

28.0ms
x
Results
ErrorSegmentsBranch
0.6b3x
Compiler

Compiled 105 to 82 computations (21.9% saved)

bsearch46.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
21.0ms
1.248670561374677
3375.855099395336
24.0ms
-5535816155.602623
-1.9082811248979866e-7
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes25.0ms (0.3%)

Counts
11 → 3
Calls
Call 1
Inputs
(/.f64 1/4 x)
(-.f64 1 1)
(*.f64 1/8 (*.f64 x x))
(+.f64 1/4 (/.f64 1/4 x))
(*.f64 1/8 (/.f64 x (/.f64 1 x)))
(/.f64 1 (+.f64 (/.f64 (/.f64 8 x) x) 11/2))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(/.f64 1 (+.f64 11/2 (fma.f64 (*.f64 x x) -17/32 (/.f64 (/.f64 8 x) x))))
Outputs
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(*.f64 1/8 (*.f64 x x))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
Calls

1 calls:

21.0ms
x
Results
ErrorSegmentsBranch
0.8b3x
Compiler

Compiled 75 to 59 computations (21.3% saved)

bsearch67.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
44.0ms
1.248670561374677
3375.855099395336
22.0ms
-5535816155.602623
-1.9082811248979866e-7
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes36.0ms (0.5%)

Counts
7 → 3
Calls
Call 1
Inputs
(/.f64 1/4 x)
(-.f64 1 1)
(*.f64 1/8 (*.f64 x x))
(+.f64 1/4 (/.f64 1/4 x))
(*.f64 1/8 (/.f64 x (/.f64 1 x)))
(/.f64 1 (+.f64 (/.f64 (/.f64 8 x) x) 11/2))
(-.f64 1 (sqrt.f64 1/2))
Outputs
(-.f64 1 (sqrt.f64 1/2))
(*.f64 1/8 (*.f64 x x))
(-.f64 1 (sqrt.f64 1/2))
Calls

1 calls:

14.0ms
x
Results
ErrorSegmentsBranch
1.3b3x
Compiler

Compiled 39 to 30 computations (23.1% saved)

bsearch57.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
33.0ms
1.248670561374677
3375.855099395336
23.0ms
-5535816155.602623
-1.9082811248979866e-7
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes7.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
(/.f64 1/4 x)
(-.f64 1 1)
(*.f64 1/8 (*.f64 x x))
(+.f64 1/4 (/.f64 1/4 x))
(*.f64 1/8 (/.f64 x (/.f64 1 x)))
(/.f64 1 (+.f64 (/.f64 (/.f64 8 x) x) 11/2))
Outputs
(/.f64 1 (+.f64 (/.f64 (/.f64 8 x) x) 11/2))
Calls

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
26.4b1x
Compiler

Compiled 35 to 26 computations (25.7% saved)

regimes14.0ms (0.2%)

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

1 calls:

13.0ms
x
Results
ErrorSegmentsBranch
25.2b3x
Compiler

Compiled 26 to 19 computations (26.9% saved)

bsearch48.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
24.0ms
1.248670561374677
3375.855099395336
23.0ms
-5535816155.602623
-1.9082811248979866e-7
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes5.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
(/.f64 1/4 x)
(-.f64 1 1)
(*.f64 1/8 (*.f64 x x))
Outputs
(*.f64 1/8 (*.f64 x x))
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
31.7b1x
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes4.0ms (0.1%)

Accuracy

Total -15.4b remaining (-32.8%)

Threshold costs -15.4b (-32.8%)

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

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
47.0b1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify41.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
18×+-commutative_binary64
9×sub-neg_binary64
8×*-commutative_binary64
5×neg-sub0_binary64
5×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072513
198513
2118513
3130513
4136513
5137513
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x -725590495147147/131072) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))) (if (<=.f64 x 4177871288306507/4722366482869645213696) (*.f64 1/8 (*.f64 x x)) (/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(if (<=.f64 x -725590495147147/131072) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))) (if (<=.f64 x 4177871288306507/4722366482869645213696) (*.f64 1/8 (*.f64 x x)) (/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(if (<=.f64 x -725590495147147/131072) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))) (if (<=.f64 x 4177871288306507/4722366482869645213696) (*.f64 1/8 (*.f64 x x)) (/.f64 1 (+.f64 0 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))))
(if (<=.f64 x -725590495147147/131072) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (if (<=.f64 x 4177871288306507/4722366482869645213696) (*.f64 1/8 (*.f64 x x)) (/.f64 1 (+.f64 0 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))))
(if (<=.f64 x -725590495147147/131072) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (if (<=.f64 x 4177871288306507/4722366482869645213696) (*.f64 1/8 (*.f64 x x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(if (<=.f64 x -725590495147147/131072) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (if (<=.f64 x 5623512274915503/4503599627370496) (*.f64 1/8 (*.f64 x x)) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))))
(if (<=.f64 x -725590495147147/131072) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (if (<=.f64 x 5623512274915503/4503599627370496) (*.f64 1/8 (*.f64 x x)) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))))
(if (<=.f64 x -725590495147147/131072) (-.f64 1 (sqrt.f64 1/2)) (if (<=.f64 x 5623512274915503/4503599627370496) (*.f64 1/8 (*.f64 x x)) (-.f64 1 (sqrt.f64 1/2))))
(/.f64 1 (+.f64 (/.f64 (/.f64 8 x) x) 11/2))
(if (<=.f64 x -725590495147147/131072) (+.f64 1/4 (/.f64 1/4 x)) (if (<=.f64 x 5623512274915503/4503599627370496) (*.f64 1/8 (*.f64 x x)) (+.f64 1/4 (/.f64 1/4 x))))
(*.f64 1/8 (*.f64 x x))
(-.f64 1 1)
(/.f64 1/4 x)
Outputs
(if (<=.f64 x -725590495147147/131072) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))) (if (<=.f64 x 4177871288306507/4722366482869645213696) (*.f64 1/8 (*.f64 x x)) (/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(if (<=.f64 x -725590495147147/131072) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))) (if (<=.f64 x 4177871288306507/4722366482869645213696) (*.f64 1/8 (*.f64 x x)) (/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(if (<=.f64 x -725590495147147/131072) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))) (if (<=.f64 x 4177871288306507/4722366482869645213696) (*.f64 1/8 (*.f64 x x)) (/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))))
(if (<=.f64 x -725590495147147/131072) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))) (if (<=.f64 x 4177871288306507/4722366482869645213696) (*.f64 1/8 (*.f64 x x)) (/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(if (<=.f64 x -725590495147147/131072) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))) (if (<=.f64 x 4177871288306507/4722366482869645213696) (*.f64 1/8 (*.f64 x x)) (/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(if (<=.f64 x -725590495147147/131072) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))) (if (<=.f64 x 4177871288306507/4722366482869645213696) (*.f64 1/8 (*.f64 x x)) (/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(if (<=.f64 x -725590495147147/131072) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))) (if (<=.f64 x 4177871288306507/4722366482869645213696) (*.f64 1/8 (*.f64 x x)) (/.f64 1 (+.f64 0 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))))
(if (<=.f64 x -725590495147147/131072) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (-.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 1/4 (/.f64 1 (*.f64 x (sqrt.f64 1/2)))))) (if (<=.f64 x 4177871288306507/4722366482869645213696) (*.f64 1/8 (*.f64 x x)) (/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))
(if (<=.f64 x -725590495147147/131072) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (if (<=.f64 x 4177871288306507/4722366482869645213696) (*.f64 1/8 (*.f64 x x)) (/.f64 1 (+.f64 0 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))))
(if (<=.f64 x -725590495147147/131072) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (if (<=.f64 x 4177871288306507/4722366482869645213696) (*.f64 1/8 (*.f64 x x)) (/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))
(if (<=.f64 x -725590495147147/131072) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (if (<=.f64 x 4177871288306507/4722366482869645213696) (*.f64 1/8 (*.f64 x x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(if (<=.f64 x -725590495147147/131072) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (if (<=.f64 x 5623512274915503/4503599627370496) (*.f64 1/8 (*.f64 x x)) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))))
(if (<=.f64 x -725590495147147/131072) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (if (<=.f64 x 5623512274915503/4503599627370496) (*.f64 1/8 (*.f64 x x)) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))))
(if (<=.f64 x -725590495147147/131072) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (if (<=.f64 x 5623512274915503/4503599627370496) (*.f64 1/8 (*.f64 x x)) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))))
(if (<=.f64 x -725590495147147/131072) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (if (<=.f64 x 5623512274915503/4503599627370496) (*.f64 1/8 (*.f64 x x)) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))))
(if (<=.f64 x -725590495147147/131072) (-.f64 1 (sqrt.f64 1/2)) (if (<=.f64 x 5623512274915503/4503599627370496) (*.f64 1/8 (*.f64 x x)) (-.f64 1 (sqrt.f64 1/2))))
(/.f64 1 (+.f64 (/.f64 (/.f64 8 x) x) 11/2))
(if (<=.f64 x -725590495147147/131072) (+.f64 1/4 (/.f64 1/4 x)) (if (<=.f64 x 5623512274915503/4503599627370496) (*.f64 1/8 (*.f64 x x)) (+.f64 1/4 (/.f64 1/4 x))))
(*.f64 1/8 (*.f64 x x))
(-.f64 1 1)
0
(/.f64 1/4 x)

end320.0ms (4.2%)

Stop Event
1×fuel
Compiler

Compiled 706 to 573 computations (18.8% saved)

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