Details

Time bar (total: 10.4s)

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 (18%)

Results
908.0ms2112×body2048valid
517.0ms4574×body256valid
326.0ms1035×body1024valid
110.0ms535×body512valid

preprocess19.0ms (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)

simplify10.0ms (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
13.9b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶13.9b
(-.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 3 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
✓0.0b
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
✓2.4b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
Compiler

Compiled 37 to 31 computations (16.2% saved)

series5.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite83.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0937
120137
2260237
Stop Event
1×node limit
Counts
3 → 159
Calls
Call 1
Inputs
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
Outputs
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simplify98.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
407×fma-def_binary64
330×associate-+r+_binary64
328×*-commutative_binary64
307×times-frac_binary64
284×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0112718
1332648
2999634
33144634
47656634
Stop Event
1×node limit
Counts
195 → 219
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 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 3/16 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -5/32 (pow.f64 x 6)) (*.f64 3/16 (pow.f64 x 4)))))
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))))
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
(+.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))))))
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 (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 (/.f64 -1/4 (sqrt.f64 1/2)) x) (+.f64 (sqrt.f64 1/2) -1))
(-.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 1/16 (*.f64 x (*.f64 x (sqrt.f64 1/2)))) (-.f64 (/.f64 -1/4 (*.f64 x (sqrt.f64 1/2))) (sqrt.f64 1/2))))
(+.f64 (-.f64 (/.f64 (/.f64 -1/4 (sqrt.f64 1/2)) x) (+.f64 (sqrt.f64 1/2) -1)) (/.f64 1/16 (*.f64 (*.f64 x 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 1 (-.f64 (+.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 (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))))
(+.f64 (-.f64 1 (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x))) (+.f64 (/.f64 1/16 (*.f64 x (*.f64 x (sqrt.f64 1/2)))) (/.f64 3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))))
(+.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 (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 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 (/.f64 1/4 (sqrt.f64 1/2)) x) (-.f64 (sqrt.f64 1/2) 1))
(+.f64 1 (-.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)) (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 1 (+.f64 (/.f64 1/16 (*.f64 x (*.f64 x (sqrt.f64 1/2)))) (-.f64 (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x) (sqrt.f64 1/2))))
(+.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 (*.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 (*.f64 x (*.f64 x (sqrt.f64 1/2)))) (+.f64 1 (/.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 1 (sqrt.f64 1/2)) (+.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)) (+.f64 (/.f64 1/16 (*.f64 (*.f64 x x) (sqrt.f64 1/2))) (/.f64 -3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))))))
1
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (*.f64 (*.f64 x x) -1/4))
(fma.f64 (*.f64 x x) -1/4 1)
(fma.f64 x (*.f64 x -1/4) 1)
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 3/16 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/4 (*.f64 x x) (*.f64 (pow.f64 x 4) 3/16)))
(+.f64 1 (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))
(+.f64 1 (+.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 (fma.f64 -1/4 (*.f64 x x) (fma.f64 -5/32 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 3/16))))
(+.f64 1 (fma.f64 (*.f64 x x) -1/4 (fma.f64 (pow.f64 x 4) 3/16 (*.f64 (pow.f64 x 6) -5/32))))
(+.f64 1 (fma.f64 x (*.f64 x -1/4) (fma.f64 (pow.f64 x 4) 3/16 (*.f64 (pow.f64 x 6) -5/32))))
(+.f64 (fma.f64 (*.f64 x x) -1/4 1) (fma.f64 (pow.f64 x 6) -5/32 (*.f64 (pow.f64 x 4) 3/16)))
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 (/.f64 1/2 x)) (/.f64 1/4 (pow.f64 x 3)))
(+.f64 1/2 (-.f64 (/.f64 1/2 x) (/.f64 1/4 (pow.f64 x 3))))
(+.f64 1/2 (+.f64 (/.f64 1/2 x) (/.f64 -1/4 (pow.f64 x 3))))
(-.f64 1/2 (+.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 -1/2 x)))
(-.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 (+.f64 1/2 (/.f64 1/2 x)) (/.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 1/2 (-.f64 (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5))) (/.f64 1/4 (pow.f64 x 3))))
(+.f64 1/2 (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 3/16 (pow.f64 x 5)) (/.f64 -1/4 (pow.f64 x 3)))))
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 1/2 (+.f64 (/.f64 1/4 (pow.f64 x 3)) (/.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 1/2 (-.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (/.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)))))
(+.f64 1/2 (+.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -3/16 (pow.f64 x 5)))))
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 x (*.f64 x -1/8) (fma.f64 (pow.f64 x 4) 11/128 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 x (*.f64 x -1/8) (fma.f64 (pow.f64 x 6) -69/1024 (fma.f64 (pow.f64 x 4) 11/128 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 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))
(-.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 -1/32 (*.f64 x (*.f64 x (*.f64 1/2 (sqrt.f64 1/2)))))))
(+.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 (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 (*.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 (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x)) (/.f64 -3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (/.f64 -1/32 (*.f64 x (*.f64 x (*.f64 1/2 (sqrt.f64 1/2))))))
(+.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 -1/16 (sqrt.f64 1/2)) (*.f64 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)))))
(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 -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 (sqrt.f64 1/2) (+.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 (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 (sqrt.f64 1/2) (/.f64 -1/4 (*.f64 x (sqrt.f64 1/2)))) (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) (*.f64 x x)))
(+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) (*.f64 x x)) (/.f64 (/.f64 -1/4 (sqrt.f64 1/2)) 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 (*.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 (/.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 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 (sqrt.f64 1/2) (/.f64 -1/4 (*.f64 x (sqrt.f64 1/2)))) (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) (*.f64 x x))))
(+.f64 (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) (*.f64 x x)) (+.f64 (+.f64 (sqrt.f64 1/2) (/.f64 3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (/.f64 (/.f64 -1/4 (sqrt.f64 1/2)) x)))

eval149.0ms (1.4%)

Compiler

Compiled 4054 to 3631 computations (10.4% saved)

prune40.0ms (0.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New2109219
Fresh000
Picked011
Done000
Total21010220
Error
0.0b
Counts
220 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
▶33.1b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
▶31.2b
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
▶13.4b
(/.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))))))
▶30.9b
(*.f64 1/8 (*.f64 x x))
13.9b
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
▶31.4b
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (*.f64 x x)))
13.9b
(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1))
32.3b
(-.f64 1 (sqrt.f64 1/2))
33.1b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
✓13.9b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
Compiler

Compiled 221 to 192 computations (13.1% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
0.0b
(+.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)))))
✓1.9b
(-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
Compiler

Compiled 62 to 53 computations (14.5% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite72.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
474×prod-diff_binary64
462×log-prod_binary64
311×fma-def_binary64
278×pow2_binary64
277×pow-prod-down_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01025
122525
2301025
Stop Event
1×node limit
Counts
2 → 99
Calls
Call 1
Inputs
(-.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 1/2 (/.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 (pow.f64 (cbrt.f64 (exp.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 1/2)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 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)))))))))) (#(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 (+.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 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.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)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) (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 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (/.f64 1 (-.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 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 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (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))))))))) (#(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 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (+.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1) (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) (neg.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.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 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 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) 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 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.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 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 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 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 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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) 1)))))

simplify64.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
619×unswap-sqr_binary64
379×sub-neg_binary64
321×associate-+l+_binary64
307×times-frac_binary64
281×associate-*l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
090454
1265420
2825412
32661412
46865412
Stop Event
1×node limit
Counts
123 → 140
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))))
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))))))
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 -3/16 (pow.f64 x 4) (*.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 -3/16 (pow.f64 x 4) (*.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 1/4 (*.f64 x x) (fma.f64 5/32 (pow.f64 x 6) (fma.f64 -35/256 (pow.f64 x 8) (*.f64 -3/16 (pow.f64 x 4)))))
(fma.f64 5/32 (pow.f64 x 6) (fma.f64 -3/16 (pow.f64 x 4) (fma.f64 -35/256 (pow.f64 x 8) (*.f64 1/4 (*.f64 x 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 (+.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 1/2 (+.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 -1/2 x)))
(+.f64 (+.f64 1/2 (/.f64 -1/2 x)) (/.f64 1/4 (pow.f64 x 3)))
(-.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 -1/2 x) (+.f64 1/2 (-.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 3/16 (pow.f64 x 5)))))
(+.f64 1/2 (-.f64 (/.f64 1/4 (pow.f64 x 3)) (-.f64 (/.f64 3/16 (pow.f64 x 5)) (/.f64 -1/2 x))))
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 1/2 (-.f64 (/.f64 3/16 (pow.f64 x 5)) (/.f64 1/4 (pow.f64 x 3)))))
(+.f64 1/2 (+.f64 (+.f64 (/.f64 3/16 (pow.f64 x 5)) (/.f64 -1/4 (pow.f64 x 3))) (/.f64 1/2 x)))
(-.f64 1/2 (-.f64 (/.f64 1/4 (pow.f64 x 3)) (-.f64 (/.f64 3/16 (pow.f64 x 5)) (/.f64 -1/2 x))))
2
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) 2)
(fma.f64 -1/8 (*.f64 x x) 2)
(fma.f64 (*.f64 x x) -1/8 2)
(fma.f64 x (*.f64 x -1/8) 2)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 2 (*.f64 11/128 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/8 (*.f64 x x) 2) (*.f64 (pow.f64 x 4) 11/128))
(fma.f64 (*.f64 x x) -1/8 (fma.f64 (pow.f64 x 4) 11/128 2))
(fma.f64 x (*.f64 x -1/8) (fma.f64 (pow.f64 x 4) 11/128 2))
(+.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)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 -69/1024 (pow.f64 x 6) (+.f64 2 (*.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 2)))
(fma.f64 x (*.f64 x -1/8) (fma.f64 (pow.f64 x 4) 11/128 (fma.f64 (pow.f64 x 6) -69/1024 2)))
(fma.f64 x (*.f64 x -1/8) (fma.f64 (pow.f64 x 6) -69/1024 (fma.f64 (pow.f64 x 4) 11/128 2)))
(+.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 1 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
(+.f64 1 (+.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (+.f64 1 (sqrt.f64 1/2)))
(+.f64 1 (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))))
(-.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 (sqrt.f64 1/2) (-.f64 (+.f64 1 (/.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 1 (+.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)) (sqrt.f64 1/2))) (*.f64 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)) -1/32))
(+.f64 1 (+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) (*.f64 x x)))))
(+.f64 1 (+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 1/4 (*.f64 x (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 (*.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 (pow.f64 x 3) (sqrt.f64 1/2))) (+.f64 (+.f64 1 (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 (+.f64 1 (+.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)) (sqrt.f64 1/2))) (/.f64 (/.f64 -3/32 (sqrt.f64 1/2)) (pow.f64 x 3))) (*.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (+.f64 1 (sqrt.f64 1/2))) (+.f64 (/.f64 -3/32 (*.f64 (pow.f64 x 3) (sqrt.f64 1/2))) (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) (*.f64 x x))))
(+.f64 (sqrt.f64 1/2) (+.f64 1 (+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (+.f64 (/.f64 -3/32 (*.f64 (pow.f64 x 3) (sqrt.f64 1/2))) (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) (*.f64 x x))))))
(+.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 (sqrt.f64 1/2) (-.f64 1 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))))
(+.f64 1 (-.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))))
(+.f64 1 (+.f64 (sqrt.f64 1/2) (/.f64 -1/4 (*.f64 x (sqrt.f64 1/2)))))
(-.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 (sqrt.f64 1/2) (-.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))))))
(-.f64 (+.f64 1 (sqrt.f64 1/2)) (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))))
(+.f64 (-.f64 1 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))) (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) (*.f64 x x))))
(+.f64 1 (+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) (*.f64 x x)) (/.f64 -1/4 (*.f64 x (sqrt.f64 1/2))))))
(-.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 (+.f64 (+.f64 1 (sqrt.f64 1/2)) (*.f64 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 4)) -1/4) (*.f64 (pow.f64 x 3) (sqrt.f64 1/2))) -1/2)) (+.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 1 (sqrt.f64 1/2)) (-.f64 (/.f64 (/.f64 3/32 (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 x) (sqrt.f64 1/2)))))
(+.f64 1 (+.f64 (/.f64 3/32 (*.f64 (pow.f64 x 3) (sqrt.f64 1/2))) (+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) (*.f64 x x)) (/.f64 -1/4 (*.f64 x (sqrt.f64 1/2)))))))
(+.f64 (sqrt.f64 1/2) (-.f64 (/.f64 3/32 (*.f64 (pow.f64 x 3) (sqrt.f64 1/2))) (-.f64 (+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (/.f64 1/16 (*.f64 x (*.f64 x (sqrt.f64 1/2))))) 1)))
(+.f64 (sqrt.f64 1/2) (-.f64 (/.f64 3/32 (*.f64 (pow.f64 x 3) (sqrt.f64 1/2))) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (/.f64 1/16 (*.f64 x (*.f64 x (sqrt.f64 1/2))))) -1)))

localize5.0ms (0%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(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)

series4.0ms (0%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
1.0ms
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 (0.6%)

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
0921
119921
2249621
Stop Event
1×node limit
Counts
2 → 52
Calls
Call 1
Inputs
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(sqrt.f64 (+.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))))) (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 (+.f64 1 (+.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 (+.f64 1 (+.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 (+.f64 1 (+.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 (+.f64 1 (+.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 log1p.f64 (expm1.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 -.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 1/4 (/.f64 1/4 (*.f64 x x)))) (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 x))))))) (#(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 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 log1p.f64 (expm1.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)))))))))

simplify54.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
852×distribute-neg-frac_binary64
828×fma-neg_binary64
724×cancel-sign-sub-inv_binary64
637×associate-/r*_binary64
381×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036408
1112392
2334384
31192384
45315384
Stop Event
1×node limit
Counts
68 → 66
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)))))))
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 (+.f64 1 (/.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 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)))
(+.f64 1 (-.f64 (/.f64 1/4 (*.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 1/4 (*.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 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 1 (+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) (*.f64 x x)))))
(-.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 1 (+.f64 (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)) (-.f64 (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (sqrt.f64 1/2))))
(+.f64 (-.f64 1 (+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) (*.f64 x 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 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (/.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 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)))
(+.f64 1 (-.f64 (/.f64 1/4 (*.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 1/4 (*.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 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 1 (+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) (*.f64 x x)))))
(-.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 1 (+.f64 (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)) (-.f64 (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (sqrt.f64 1/2))))
(+.f64 (-.f64 1 (+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) (*.f64 x x))))) (/.f64 1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3))))
(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 (sqrt.f64 1/2) (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x))))
(+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) (*.f64 x 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) (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 (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 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)))))
(+.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) (*.f64 x x)))) (/.f64 -1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3))))
(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 (sqrt.f64 1/2) (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x))))
(+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) (*.f64 x 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) (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 (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 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)))))
(+.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) (*.f64 x x)))) (/.f64 -1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3))))

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓16.5b
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (*.f64 x x)))
Compiler

Compiled 26 to 15 computations (42.3% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite53.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
746×pow1_binary64
698×add-log-exp_binary64
698×log1p-expm1-u_binary64
698×expm1-log1p-u_binary64
684×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
118814
2197714
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (*.f64 x x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 -11/128 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 x (*.f64 x 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -11/128 (pow.f64 x 4)) 1) (*.f64 x (*.f64 x 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 x (*.f64 x 1/8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 x (*.f64 x 1/8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 x (*.f64 x 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 x (*.f64 x 1/8)))) (pow.f64 (cbrt.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 x (*.f64 x 1/8)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 x (*.f64 x 1/8)))) 2) (cbrt.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 x (*.f64 x 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 x (*.f64 x 1/8)))) (sqrt.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 x (*.f64 x 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -11/128 (pow.f64 x 4)) 3) (pow.f64 (*.f64 x (*.f64 x 1/8)) 3)) (+.f64 (*.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 -11/128 (pow.f64 x 4))) (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 x (*.f64 x 1/8))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 -11/128 (pow.f64 x 4))) (*.f64 (pow.f64 x 4) 1/64)) (-.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 x (*.f64 x 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 x (*.f64 x 1/8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 x (*.f64 x 1/8))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 x (*.f64 x 1/8)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 x (*.f64 x 1/8)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 x (*.f64 x 1/8))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 x (*.f64 x 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 x (*.f64 x 1/8))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 x (*.f64 x 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 x (*.f64 x 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -11/128 (pow.f64 x 4) (*.f64 x (*.f64 x 1/8)))))))))

simplify181.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
1057×sqr-pow_binary64
538×fma-def_binary64
506×pow-sqr_binary64
443×cube-prod_binary64
419×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011147
122147
245147
3114147
4354147
51406147
62652147
73114147
83283147
93482147
103753147
114112147
124563147
135094147
145720147
156469147
166783147
177007147
187201147
197257147
207279147
Stop Event
1×node limit
Counts
33 → 26
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 (*.f64 x x) (fma.f64 (*.f64 x x) -11/128 1/8))
(*.f64 x (fma.f64 1/8 x (*.f64 -11/128 (pow.f64 x 3))))
(+.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 (*.f64 x x) (fma.f64 (*.f64 x x) -11/128 1/8))
(*.f64 x (fma.f64 1/8 x (*.f64 -11/128 (pow.f64 x 3))))
(+.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 (*.f64 x x) (fma.f64 (*.f64 x x) -11/128 1/8))
(*.f64 x (fma.f64 1/8 x (*.f64 -11/128 (pow.f64 x 3))))
(*.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 (*.f64 x x) (fma.f64 (*.f64 x x) -11/128 1/8))
(*.f64 x (fma.f64 1/8 x (*.f64 -11/128 (pow.f64 x 3))))
(+.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 (*.f64 x x) (fma.f64 (*.f64 x x) -11/128 1/8))
(*.f64 x (fma.f64 1/8 x (*.f64 -11/128 (pow.f64 x 3))))
(+.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 (*.f64 x x) (fma.f64 (*.f64 x x) -11/128 1/8))
(*.f64 x (fma.f64 1/8 x (*.f64 -11/128 (pow.f64 x 3))))
(*.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 (*.f64 x x) (fma.f64 (*.f64 x x) -11/128 1/8))
(*.f64 x (fma.f64 1/8 x (*.f64 -11/128 (pow.f64 x 3))))
(+.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 (*.f64 x x) (fma.f64 (*.f64 x x) -11/128 1/8))
(*.f64 x (fma.f64 1/8 x (*.f64 -11/128 (pow.f64 x 3))))
(+.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 (*.f64 x x) (fma.f64 (*.f64 x x) -11/128 1/8))
(*.f64 x (fma.f64 1/8 x (*.f64 -11/128 (pow.f64 x 3))))

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 x 2)
✓0.1b
(*.f64 69/1024 (pow.f64 x 6))
✓0.1b
(*.f64 -11/128 (pow.f64 x 4))
✓18.9b
(+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4)))
Compiler

Compiled 60 to 48 computations (20% saved)

series5.0ms (0.1%)

Counts
4 → 3
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4)))
1.0ms
x
@0
(+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4)))
1.0ms
x
@-inf
(pow.f64 x 2)
0.0ms
x
@inf
(*.f64 -11/128 (pow.f64 x 4))
0.0ms
x
@inf
(pow.f64 x 2)

rewrite80.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
494×log-prod_binary64
375×exp-prod_binary64
309×fma-def_binary64
302×pow2_binary64
295×pow-prod-down_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01332
128432
2318732
Stop Event
1×node limit
Counts
4 → 148
Calls
Call 1
Inputs
(+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4)))
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 69/1024 (pow.f64 x 6))
(pow.f64 x 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 4761/1048576 (pow.f64 x 12)) (fma.f64 69/1024 (pow.f64 x 6) (*.f64 11/128 (pow.f64 x 4)))) (/.f64 (*.f64 (pow.f64 x 8) 121/16384) (fma.f64 69/1024 (pow.f64 x 6) (*.f64 11/128 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 12) -1331/2097152 (*.f64 (pow.f64 x 18) 328509/1073741824)) (/.f64 1 (-.f64 (fma.f64 4761/1048576 (pow.f64 x 12) (*.f64 (pow.f64 x 8) 121/16384)) (*.f64 69/1024 (*.f64 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 4761/1048576 (pow.f64 x 12)) (*.f64 (pow.f64 x 8) 121/16384)) (/.f64 1 (fma.f64 69/1024 (pow.f64 x 6) (*.f64 11/128 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 4761/1048576 (pow.f64 x 12) (*.f64 (pow.f64 x 8) 121/16384)) (*.f64 69/1024 (*.f64 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4))))) (fma.f64 (pow.f64 x 12) -1331/2097152 (*.f64 (pow.f64 x 18) 328509/1073741824))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 69/1024 (pow.f64 x 6) (*.f64 11/128 (pow.f64 x 4))) (-.f64 (*.f64 4761/1048576 (pow.f64 x 12)) (*.f64 (pow.f64 x 8) 121/16384))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 12) -1331/2097152 (*.f64 (pow.f64 x 18) 328509/1073741824)) (-.f64 (fma.f64 4761/1048576 (pow.f64 x 12) (*.f64 (pow.f64 x 8) 121/16384)) (*.f64 69/1024 (*.f64 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 12) -1331/2097152 (*.f64 (pow.f64 x 18) 328509/1073741824)) (fma.f64 (pow.f64 x 8) 121/16384 (-.f64 (*.f64 4761/1048576 (pow.f64 x 12)) (*.f64 69/1024 (*.f64 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 4761/1048576 (pow.f64 x 12)) (*.f64 (pow.f64 x 8) 121/16384)) (fma.f64 69/1024 (pow.f64 x 6) (*.f64 11/128 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 12) -1331/2097152 (*.f64 (pow.f64 x 18) 328509/1073741824))) (neg.f64 (-.f64 (fma.f64 4761/1048576 (pow.f64 x 12) (*.f64 (pow.f64 x 8) 121/16384)) (*.f64 69/1024 (*.f64 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 4761/1048576 (pow.f64 x 12)) (*.f64 (pow.f64 x 8) 121/16384))) (neg.f64 (fma.f64 69/1024 (pow.f64 x 6) (*.f64 11/128 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 8) 121/16384) (*.f64 4761/1048576 (pow.f64 x 12))) (-.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 69/1024 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 4761/1048576 (pow.f64 x 12) (*.f64 (pow.f64 x 8) 121/16384)) (*.f64 69/1024 (*.f64 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4))))) (fma.f64 (pow.f64 x 12) -1331/2097152 (*.f64 (pow.f64 x 18) 328509/1073741824))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 69/1024 (pow.f64 x 6) (*.f64 11/128 (pow.f64 x 4))) (-.f64 (*.f64 4761/1048576 (pow.f64 x 12)) (*.f64 (pow.f64 x 8) 121/16384))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4))))) 2)) (cbrt.f64 (log.f64 (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4)))))) (sqrt.f64 (log.f64 (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 69/1024 (pow.f64 x 6)))) (pow.f64 (exp.f64 (pow.f64 x 4)) -11/128)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 6)) 69/1024) (+.f64 1 (expm1.f64 (*.f64 -11/128 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 69/1024 (pow.f64 x 6)))) (+.f64 1 (expm1.f64 (*.f64 -11/128 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -11/128 (pow.f64 x 4)))) (pow.f64 (exp.f64 (pow.f64 x 6)) 69/1024)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -11/128) (+.f64 1 (expm1.f64 (*.f64 69/1024 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -11/128 (pow.f64 x 4)))) (+.f64 1 (expm1.f64 (*.f64 69/1024 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 69/1024 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 6) 69/1024 (*.f64 -11/128 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 69/1024 (pow.f64 x 6)) 1 (*.f64 -11/128 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -11/128 (pow.f64 x 4) (*.f64 69/1024 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 4) -11/128 (*.f64 69/1024 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 4) (*.f64 (*.f64 x x) 69/1024) (*.f64 -11/128 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -11/128 (pow.f64 x 4)) 1 (*.f64 69/1024 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) -11/128) (*.f64 69/1024 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 69/1024 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 69/1024) (*.f64 -11/128 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 8) (*.f64 (*.f64 (cbrt.f64 x) x) -11/128) (*.f64 69/1024 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (cbrt.f64 69/1024)) (cbrt.f64 (*.f64 4761/1048576 (pow.f64 x 12))) (*.f64 -11/128 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 4761/1048576 (pow.f64 x 12))) (*.f64 (*.f64 x x) (cbrt.f64 69/1024)) (*.f64 -11/128 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -11/128 (pow.f64 x 4))) (cbrt.f64 (*.f64 (pow.f64 x 8) 121/16384)) (*.f64 69/1024 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 121/16384)) (cbrt.f64 (*.f64 -11/128 (pow.f64 x 4))) (*.f64 69/1024 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 69/1024)) (*.f64 (pow.f64 x 3) (sqrt.f64 69/1024)) (*.f64 -11/128 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 -11/128)) (*.f64 (*.f64 x x) (sqrt.f64 -11/128)) (*.f64 69/1024 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 69/1024 (pow.f64 x 4)) (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 69/1024 (pow.f64 x 3)) (pow.f64 x 3) (*.f64 -11/128 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -11/128 (*.f64 x x)) (*.f64 x x) (*.f64 69/1024 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -11/128 (pow.f64 (cbrt.f64 x) 8)) (*.f64 (cbrt.f64 x) x) (*.f64 69/1024 (pow.f64 x 6)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -11/128 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -11/128)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -11/128))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -11/128))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -11/128))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.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 (*.f64 (pow.f64 x 8) 121/16384) 1/2)))) (#(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 pow.f64 (*.f64 (pow.f64 x 12) -1331/2097152) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (fma.f64 4 (log.f64 x) (log.f64 -11/128)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (log.f64 x) (log.f64 -11/128))) 2)) (cbrt.f64 (fma.f64 4 (log.f64 x) (log.f64 -11/128))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 4 (log.f64 x) (log.f64 -11/128)))) (sqrt.f64 (fma.f64 4 (log.f64 x) (log.f64 -11/128))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 8) 121/16384))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -11/128))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -11/128 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 12) -1331/2097152))))) (#(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 log1p.f64 (expm1.f64 (*.f64 -11/128 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 4 (log.f64 x) (log.f64 -11/128)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 4 (log.f64 x) (log.f64 -11/128)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -11/128 (pow.f64 x 4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (sqrt.f64 -11/128))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 12) -1331/2097152)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 4 (log.f64 x) (log.f64 -11/128)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 4 (log.f64 x) (log.f64 -11/128)) 3) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 69/1024 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 6)) 69/1024)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 6)) 69/1024))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 6)) 69/1024))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 6)) 69/1024))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 69/1024 (pow.f64 x 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 69/1024 (pow.f64 x 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4761/1048576 (pow.f64 x 12)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (cbrt.f64 69/1024)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 69/1024)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 18) 328509/1073741824) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (fma.f64 6 (log.f64 x) (log.f64 69/1024)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 6 (log.f64 x) (log.f64 69/1024))) 2)) (cbrt.f64 (fma.f64 6 (log.f64 x) (log.f64 69/1024))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 6 (log.f64 x) (log.f64 69/1024)))) (sqrt.f64 (fma.f64 6 (log.f64 x) (log.f64 69/1024))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4761/1048576 (pow.f64 x 12)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 6)) 69/1024))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 69/1024 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 18) 328509/1073741824))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 69/1024 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 69/1024 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 6 (log.f64 x) (log.f64 69/1024)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 6 (log.f64 x) (log.f64 69/1024)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (cbrt.f64 69/1024))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 69/1024))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 18) 328509/1073741824)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 6 (log.f64 x) (log.f64 69/1024)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 6 (log.f64 x) (log.f64 69/1024)) 3) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 8)) (sqrt.f64 (*.f64 (cbrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3/2) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 6 (log.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 4 (log.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 6 (log.f64 x)) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 4 (log.f64 x)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 x)) 1) 1))))))

simplify129.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
811×sqr-pow_binary64
687×cube-prod_binary64
603×fabs-mul_binary64
492×associate-*l*_binary64
467×unswap-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
12021
24221
310621
435021
5158121
6262721
7278421
8304821
9331221
10365821
11411521
12463921
13528021
14604621
15648921
16699321
17750721
Stop Event
1×node limit
Counts
151 → 150
Calls
Call 1
Inputs
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 69/1024 (pow.f64 x 6))
(*.f64 69/1024 (pow.f64 x 6))
Outputs
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 69/1024 (pow.f64 x 6))
(*.f64 69/1024 (pow.f64 x 6))

eval310.0ms (3%)

Compiler

Compiled 12114 to 10430 computations (13.9% saved)

prune100.0ms (1%)

Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New5187525
Fresh044
Picked101
Done145
Total52015535
Error
0b
Counts
535 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
✓33.1b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
✓13.4b
(/.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))))))
13.9b
(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1))
13.9b
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 3) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
✓30.9b
(*.f64 1/8 (*.f64 x x))
▶32.7b
(/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
13.9b
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
31.2b
(+.f64 (*.f64 1/8 (*.f64 x x)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
▶32.3b
(-.f64 1 (sqrt.f64 1/2))
✓13.9b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
31.4b
(+.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 -11/128 (pow.f64 x 4)))
▶23.4b
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
▶37.8b
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
33.1b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
▶13.4b
(/.f64 (/.f64 (-.f64 1/4 (pow.f64 (/.f64 -1/2 (hypot.f64 1 x)) 2)) (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
Compiler

Compiled 375 to 329 computations (12.3% saved)

localize59.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (/.f64 (-.f64 1/4 (pow.f64 (/.f64 -1/2 (hypot.f64 1 x)) 2)) (-.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 (-.f64 1/4 (pow.f64 (/.f64 -1/2 (hypot.f64 1 x)) 2)) (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))
✓0.1b
(pow.f64 (/.f64 -1/2 (hypot.f64 1 x)) 2)
✓1.9b
(-.f64 1/4 (pow.f64 (/.f64 -1/2 (hypot.f64 1 x)) 2))
Compiler

Compiled 113 to 98 computations (13.3% saved)

series12.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(/.f64 (/.f64 (-.f64 1/4 (pow.f64 (/.f64 -1/2 (hypot.f64 1 x)) 2)) (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
2.0ms
x
@inf
(-.f64 1/4 (pow.f64 (/.f64 -1/2 (hypot.f64 1 x)) 2))
2.0ms
x
@inf
(pow.f64 (/.f64 -1/2 (hypot.f64 1 x)) 2)
1.0ms
x
@-inf
(/.f64 (/.f64 (-.f64 1/4 (pow.f64 (/.f64 -1/2 (hypot.f64 1 x)) 2)) (-.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
@0
(-.f64 1/4 (pow.f64 (/.f64 -1/2 (hypot.f64 1 x)) 2))

rewrite99.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
542×fma-def_binary64
326×fma-neg_binary64
281×log1p-udef_binary64
280×expm1-udef_binary64
209×add-sqr-sqrt_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01890
142348
2637544
Stop Event
1×node limit
Counts
4 → 220
Calls
Call 1
Inputs
(-.f64 1/4 (pow.f64 (/.f64 -1/2 (hypot.f64 1 x)) 2))
(pow.f64 (/.f64 -1/2 (hypot.f64 1 x)) 2)
(/.f64 (-.f64 1/4 (pow.f64 (/.f64 -1/2 (hypot.f64 1 x)) 2)) (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))
(/.f64 (/.f64 (-.f64 1/4 (pow.f64 (/.f64 -1/2 (hypot.f64 1 x)) 2)) (-.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
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simplify71.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
718×associate-*l*_binary64
461×times-frac_binary64
450×distribute-rgt-in_binary64
407×distribute-lft-in_binary64
264×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02212154
17941964
228161936
Stop Event
1×node limit
Counts
268 → 289
Calls
Call 1
Inputs
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1/4 (pow.f64 x 4)))
(+.f64 (*.f64 1/4 (pow.f64 x 6)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1/4 (pow.f64 x 4))))
(+.f64 (*.f64 1/4 (pow.f64 x 6)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (*.f64 -1/4 (pow.f64 x 8)))))
1/4
(-.f64 1/4 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1/4 (*.f64 1/4 (/.f64 1 (pow.f64 x 4)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1/4 (*.f64 1/4 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
1/4
(-.f64 1/4 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1/4 (*.f64 1/4 (/.f64 1 (pow.f64 x 4)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1/4 (*.f64 1/4 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
1/4
(+.f64 1/4 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1/4 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (*.f64 -1/4 (pow.f64 x 6)) (+.f64 1/4 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 -1/4 (pow.f64 x 2)))))
(/.f64 1/4 (pow.f64 x 2))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 6)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 6)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 8)))))
(/.f64 1/4 (pow.f64 x 2))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 6)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 6)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 8)))))
(*.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 1 (sqrt.f64 1/2)))
(+.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (*.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 1 (sqrt.f64 1/2)))) (*.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 1 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))) (+.f64 (*.f64 -2 (/.f64 (*.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 1/2 (+.f64 1 (sqrt.f64 1/2))) (*.f64 1/8 (/.f64 1 (sqrt.f64 1/2))))) (*.f64 (+.f64 1 (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)) (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 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 (*.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 1/4 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))))))) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (*.f64 -2 (/.f64 (*.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 1/2 (+.f64 1 (sqrt.f64 1/2))) (*.f64 1/8 (/.f64 1 (sqrt.f64 1/2))))) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 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 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 3)))))) (+.f64 (*.f64 2 (/.f64 (*.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 (*.f64 -2 (/.f64 (*.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 (*.f64 1/8 (/.f64 1 (sqrt.f64 1/2))) (*.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)))) (+.f64 (sqrt.f64 1/2) 1))) (+.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 (*.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (*.f64 1/8 (/.f64 1 (sqrt.f64 1/2))))) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 3)))) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 1/8 (/.f64 1 (sqrt.f64 1/2))) (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3)))) (+.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 1 (sqrt.f64 1/2)) (pow.f64 x 3))))))))))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(+.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 1 (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 (*.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 (+.f64 1 (sqrt.f64 1/2)) x)))))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))) (+.f64 (*.f64 -2 (/.f64 (*.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 1/2 (+.f64 1 (sqrt.f64 1/2))) (*.f64 1/8 (/.f64 1 (sqrt.f64 1/2))))) (*.f64 (+.f64 1 (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)) (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 (/.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (*.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 (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 1/8 (/.f64 1 (sqrt.f64 1/2))) (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3)))) (+.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 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 2 (/.f64 (*.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 (*.f64 -2 (/.f64 (*.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 (*.f64 1/8 (/.f64 1 (sqrt.f64 1/2))) (*.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)))) (+.f64 (sqrt.f64 1/2) 1))) (+.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 (*.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (*.f64 1/8 (/.f64 1 (sqrt.f64 1/2))))) (+.f64 1 (sqrt.f64 1/2))))))) (pow.f64 x 3))) (+.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 (+.f64 1 (sqrt.f64 1/2)) x))))))))) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (*.f64 -2 (/.f64 (*.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 1/2 (+.f64 1 (sqrt.f64 1/2))) (*.f64 1/8 (/.f64 1 (sqrt.f64 1/2))))) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))))
Outputs
(*.f64 1/4 (pow.f64 x 2))
(*.f64 1/4 (*.f64 x x))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1/4 (pow.f64 x 4)))
(fma.f64 1/4 (*.f64 x x) (*.f64 -1/4 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/4 1/4))
(+.f64 (*.f64 1/4 (pow.f64 x 6)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1/4 (pow.f64 x 4))))
(fma.f64 1/4 (pow.f64 x 6) (fma.f64 1/4 (*.f64 x x) (*.f64 -1/4 (pow.f64 x 4))))
(fma.f64 1/4 (pow.f64 x 6) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/4 1/4)))
(+.f64 (*.f64 1/4 (pow.f64 x 6)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (*.f64 -1/4 (pow.f64 x 8)))))
(fma.f64 1/4 (pow.f64 x 6) (fma.f64 1/4 (*.f64 x x) (*.f64 -1/4 (+.f64 (pow.f64 x 4) (pow.f64 x 8)))))
(fma.f64 1/4 (pow.f64 x 6) (fma.f64 -1/4 (+.f64 (pow.f64 x 4) (pow.f64 x 8)) (*.f64 1/4 (*.f64 x x))))
1/4
(-.f64 1/4 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 1/4 (/.f64 1/4 (*.f64 x x)))
(+.f64 1/4 (/.f64 -1/4 (*.f64 x x)))
(-.f64 (+.f64 1/4 (*.f64 1/4 (/.f64 1 (pow.f64 x 4)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/4 (-.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x))))
(+.f64 1/4 (+.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (/.f64 1/4 (pow.f64 x 4)) (+.f64 1/4 (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.f64 1/4 (*.f64 1/4 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 1/4 (/.f64 1/4 (pow.f64 x 4))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 6))))
(+.f64 1/4 (-.f64 (/.f64 1/4 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 6)))))
(+.f64 1/4 (+.f64 (/.f64 1/4 (pow.f64 x 4)) (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -1/4 (pow.f64 x 6)))))
1/4
(-.f64 1/4 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 1/4 (/.f64 1/4 (*.f64 x x)))
(+.f64 1/4 (/.f64 -1/4 (*.f64 x x)))
(-.f64 (+.f64 1/4 (*.f64 1/4 (/.f64 1 (pow.f64 x 4)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/4 (-.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x))))
(+.f64 1/4 (+.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (/.f64 1/4 (pow.f64 x 4)) (+.f64 1/4 (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.f64 1/4 (*.f64 1/4 (/.f64 1 (pow.f64 x 4)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 1/4 (/.f64 1/4 (pow.f64 x 4))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 6))))
(+.f64 1/4 (-.f64 (/.f64 1/4 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 6)))))
(+.f64 1/4 (+.f64 (/.f64 1/4 (pow.f64 x 4)) (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -1/4 (pow.f64 x 6)))))
1/4
(+.f64 1/4 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1/4 (*.f64 (*.f64 x x) -1/4))
(fma.f64 (*.f64 x x) -1/4 1/4)
(+.f64 1/4 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 1/4 (fma.f64 1/4 (pow.f64 x 4) (*.f64 (*.f64 x x) -1/4)))
(+.f64 1/4 (fma.f64 1/4 (pow.f64 x 4) (*.f64 x (*.f64 x -1/4))))
(+.f64 (fma.f64 (*.f64 x x) -1/4 1/4) (*.f64 1/4 (pow.f64 x 4)))
(+.f64 (*.f64 -1/4 (pow.f64 x 6)) (+.f64 1/4 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 -1/4 (pow.f64 x 2)))))
(fma.f64 -1/4 (pow.f64 x 6) (+.f64 1/4 (fma.f64 1/4 (pow.f64 x 4) (*.f64 (*.f64 x x) -1/4))))
(+.f64 (fma.f64 1/4 (pow.f64 x 4) (*.f64 x (*.f64 x -1/4))) (fma.f64 -1/4 (pow.f64 x 6) 1/4))
(fma.f64 -1/4 (pow.f64 x 6) (+.f64 (fma.f64 (*.f64 x x) -1/4 1/4) (*.f64 1/4 (pow.f64 x 4))))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/4 (pow.f64 x 4)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 6)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 6))) (/.f64 1/4 (pow.f64 x 4)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 1/4 (pow.f64 x 6)) (/.f64 -1/4 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 6)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 8)))))
(+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (/.f64 1/4 (pow.f64 x 6)) (+.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 1/4 (pow.f64 x 8)))))
(+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 6)) (/.f64 -1/4 (pow.f64 x 4))) (/.f64 -1/4 (pow.f64 x 8))))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/4 (pow.f64 x 4)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 6)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 6))) (/.f64 1/4 (pow.f64 x 4)))
(+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 1/4 (pow.f64 x 6)) (/.f64 -1/4 (pow.f64 x 4))))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (pow.f64 x 6)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 8)))))
(+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (/.f64 1/4 (pow.f64 x 6)) (+.f64 (/.f64 1/4 (pow.f64 x 4)) (/.f64 1/4 (pow.f64 x 8)))))
(+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 6)) (/.f64 -1/4 (pow.f64 x 4))) (/.f64 -1/4 (pow.f64 x 8))))
(*.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 (pow.f64 x 4) -3/16))
(+.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 (pow.f64 x 4) -3/16)))
(fma.f64 (pow.f64 x 6) 5/32 (fma.f64 1/4 (*.f64 x x) (*.f64 (pow.f64 x 4) -3/16)))
(+.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 (pow.f64 x 8) -35/256))))
(fma.f64 (pow.f64 x 6) 5/32 (fma.f64 1/4 (*.f64 x x) (fma.f64 (pow.f64 x 4) -3/16 (*.f64 (pow.f64 x 8) -35/256))))
(fma.f64 (pow.f64 x 6) 5/32 (fma.f64 1/4 (*.f64 x x) (fma.f64 (pow.f64 x 8) -35/256 (*.f64 (pow.f64 x 4) -3/16))))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 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 (+.f64 1/2 (/.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 1/2 (-.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (/.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 (/.f64 1/2 x)) (/.f64 1/4 (pow.f64 x 3)))
(+.f64 1/2 (-.f64 (/.f64 1/2 x) (/.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 (*.f64 x 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 1 (sqrt.f64 1/2)))
(+.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (*.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 1 (sqrt.f64 1/2))) (neg.f64 (/.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)))))) x)))
(-.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.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))))) x))
(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.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))))) 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 1 (sqrt.f64 1/2)))) (*.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 1 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))) (+.f64 (*.f64 -2 (/.f64 (*.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 1/2 (+.f64 1 (sqrt.f64 1/2))) (*.f64 1/8 (/.f64 1 (sqrt.f64 1/2))))) (*.f64 (+.f64 1 (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)) (pow.f64 x 2)))))))))
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(+.f64 (/.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 1/2))) (-.f64 (-.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (+.f64 (/.f64 (/.f64 1/8 (+.f64 1 (sqrt.f64 1/2))) (*.f64 x (+.f64 1/2 (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)))))))) (/.f64 (/.f64 1/8 (+.f64 1/2 (sqrt.f64 1/2))) (*.f64 x (*.f64 x (+.f64 1 (sqrt.f64 1/2)))))) (fma.f64 -2 (*.f64 (/.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 1 (sqrt.f64 1/2))) (/.f64 (+.f64 (fma.f64 1/2 (sqrt.f64 1/2) 1/2) (/.f64 1/8 (sqrt.f64 1/2))) (*.f64 x x))) (/.f64 1/2 (*.f64 x (*.f64 x (+.f64 1 (sqrt.f64 1/2))))))))
(+.f64 (/.f64 1/2 (+.f64 x (*.f64 (sqrt.f64 1/2) x))) (+.f64 (/.f64 (/.f64 (/.f64 1/32 (+.f64 1/2 (sqrt.f64 1/2))) (+.f64 1 (sqrt.f64 1/2))) (*.f64 x x)) (+.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 (/.f64 1/8 (+.f64 1 (sqrt.f64 1/2))) (*.f64 x (+.f64 1/2 (sqrt.f64 1/2))))) (-.f64 (/.f64 -1/8 (*.f64 (+.f64 1/2 (sqrt.f64 1/2)) (*.f64 x (+.f64 x (*.f64 (sqrt.f64 1/2) x))))) (fma.f64 -2 (*.f64 (/.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))))) x) (/.f64 (+.f64 (fma.f64 1/2 (sqrt.f64 1/2) 1/2) (/.f64 1/8 (sqrt.f64 1/2))) (+.f64 x (*.f64 (sqrt.f64 1/2) x)))) (/.f64 1/2 (*.f64 x (+.f64 x (*.f64 (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 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (*.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 (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 1/8 (/.f64 1 (sqrt.f64 1/2))) (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3)))) (+.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 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 2 (/.f64 (*.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 (*.f64 -2 (/.f64 (*.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 (*.f64 1/8 (/.f64 1 (sqrt.f64 1/2))) (*.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)))) (+.f64 (sqrt.f64 1/2) 1))) (+.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 (*.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (*.f64 1/8 (/.f64 1 (sqrt.f64 1/2))))) (+.f64 1 (sqrt.f64 1/2))))))) (pow.f64 x 3))) (+.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 (+.f64 1 (sqrt.f64 1/2)) x))))))))) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (*.f64 -2 (/.f64 (*.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 1/2 (+.f64 1 (sqrt.f64 1/2))) (*.f64 1/8 (/.f64 1 (sqrt.f64 1/2))))) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))))
(+.f64 (/.f64 1/2 (*.f64 x (+.f64 1 (sqrt.f64 1/2)))) (-.f64 (+.f64 (/.f64 1/64 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 1/2)))))) (fma.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 1/64 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 (sqrt.f64 1/2) 3)))) (/.f64 1/4 (+.f64 1 (sqrt.f64 1/2)))) (fma.f64 -2 (/.f64 (-.f64 (/.f64 1/8 (sqrt.f64 1/2)) (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 3))) (/.f64 (+.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 1 (sqrt.f64 1/2)))))))) (fma.f64 1/4 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 4)) -1/4) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))) (*.f64 2 (/.f64 (-.f64 (/.f64 1/64 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 (sqrt.f64 1/2) 3)))) (fma.f64 -2 (/.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)) (fma.f64 1/2 (+.f64 1 (sqrt.f64 1/2)) (/.f64 1/8 (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 1 (sqrt.f64 1/2)))))))) (/.f64 (+.f64 1 (sqrt.f64 1/2)) (fma.f64 1/2 (+.f64 1 (sqrt.f64 1/2)) (/.f64 1/8 (sqrt.f64 1/2))))))))) (pow.f64 x 3)) (+.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 (*.f64 x x) (+.f64 1 (sqrt.f64 1/2)))) (fma.f64 -2 (*.f64 (/.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 1 (sqrt.f64 1/2))) (/.f64 (fma.f64 1/2 (+.f64 1 (sqrt.f64 1/2)) (/.f64 1/8 (sqrt.f64 1/2))) (*.f64 x x))) (/.f64 1/8 (*.f64 (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))) (*.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 1/2)))))))))
(+.f64 (+.f64 (/.f64 1/64 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (*.f64 (*.f64 x x) (+.f64 1/4 (*.f64 1/2 (sqrt.f64 1/2)))))) (-.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 (/.f64 1/8 (+.f64 1 (sqrt.f64 1/2))) (*.f64 x (+.f64 1/2 (sqrt.f64 1/2))))) (/.f64 (-.f64 (+.f64 (/.f64 1/64 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1/4 (*.f64 1/2 (sqrt.f64 1/2))))) (/.f64 1/4 (+.f64 1 (sqrt.f64 1/2)))) (fma.f64 -2 (*.f64 (/.f64 (-.f64 (/.f64 1/8 (sqrt.f64 1/2)) (/.f64 1/32 (sqrt.f64 1/2))) (+.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 1/2 (sqrt.f64 1/2)))))) (fma.f64 2 (*.f64 (/.f64 (-.f64 (/.f64 1/64 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1/4 (*.f64 1/2 (sqrt.f64 1/2))))) (fma.f64 -2 (*.f64 (/.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 1 (sqrt.f64 1/2))) (+.f64 (fma.f64 1/2 (sqrt.f64 1/2) 1/2) (/.f64 1/8 (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 1/2 (sqrt.f64 1/2))))))) (+.f64 1 (sqrt.f64 1/2))) (+.f64 (fma.f64 1/2 (sqrt.f64 1/2) 1/2) (/.f64 1/8 (sqrt.f64 1/2)))) (/.f64 -3/64 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1/2 (sqrt.f64 1/2))))))) (pow.f64 x 3)))) (-.f64 (/.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 1/2))) (+.f64 (/.f64 1/2 (*.f64 x (*.f64 x (+.f64 1 (sqrt.f64 1/2))))) (fma.f64 -2 (*.f64 (/.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 1 (sqrt.f64 1/2))) (/.f64 (+.f64 (fma.f64 1/2 (sqrt.f64 1/2) 1/2) (/.f64 1/8 (sqrt.f64 1/2))) (*.f64 x x))) (/.f64 (/.f64 1/8 (+.f64 1/2 (sqrt.f64 1/2))) (*.f64 x (*.f64 x (+.f64 1 (sqrt.f64 1/2)))))))))
(+.f64 (/.f64 1/2 (+.f64 x (*.f64 (sqrt.f64 1/2) x))) (+.f64 (/.f64 (/.f64 (/.f64 1/32 (+.f64 1/2 (sqrt.f64 1/2))) (+.f64 1 (sqrt.f64 1/2))) (*.f64 x x)) (+.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (-.f64 (/.f64 (/.f64 1/8 (+.f64 1 (sqrt.f64 1/2))) (*.f64 x (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 (+.f64 (/.f64 (/.f64 1/32 (+.f64 1/2 (sqrt.f64 1/2))) (+.f64 1 (sqrt.f64 1/2))) (-.f64 (/.f64 1/4 (+.f64 1 (sqrt.f64 1/2))) (fma.f64 -2 (*.f64 (-.f64 (/.f64 1/8 (+.f64 1/2 (sqrt.f64 1/2))) (/.f64 1/32 (+.f64 1/2 (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 1/2 (sqrt.f64 1/2)))))) (fma.f64 2 (*.f64 (/.f64 (-.f64 (/.f64 (/.f64 1/32 (+.f64 1/2 (sqrt.f64 1/2))) (+.f64 1 (sqrt.f64 1/2))) (fma.f64 -2 (*.f64 (/.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 1 (sqrt.f64 1/2))) (+.f64 (fma.f64 1/2 (sqrt.f64 1/2) 1/2) (/.f64 1/8 (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 1/2 (sqrt.f64 1/2))))))) (+.f64 1 (sqrt.f64 1/2))) (+.f64 (fma.f64 1/2 (sqrt.f64 1/2) 1/2) (/.f64 1/8 (sqrt.f64 1/2)))) (/.f64 -3/64 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1/2 (sqrt.f64 1/2)))))))) (pow.f64 x 3)))) (-.f64 (/.f64 -1/8 (*.f64 (+.f64 1/2 (sqrt.f64 1/2)) (*.f64 x (+.f64 x (*.f64 (sqrt.f64 1/2) x))))) (fma.f64 -2 (*.f64 (/.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))))) x) (/.f64 (+.f64 (fma.f64 1/2 (sqrt.f64 1/2) 1/2) (/.f64 1/8 (sqrt.f64 1/2))) (+.f64 x (*.f64 (sqrt.f64 1/2) x)))) (/.f64 1/2 (*.f64 x (+.f64 x (*.f64 (sqrt.f64 1/2) x)))))))))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 9 to 9 computations (0% saved)

series0.0ms (0%)

Counts
1 → 0

rewrite43.0ms (0.4%)

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 log1p.f64 (expm1.f64 (-.f64 1 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (sqrt.f64 1/2))))))))

simplify13.0ms (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

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
1.9b
(-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
Compiler

Compiled 29 to 24 computations (17.2% saved)

localize20.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 1/2 (/.f64 -1/2 x))
0.1b
(sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))
✓0.1b
(/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
Compiler

Compiled 46 to 38 computations (17.4% saved)

series13.0ms (0.1%)

Counts
2 → 20
Calls

6 calls:

TimeVariablePointExpression
8.0ms
x
@inf
(/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
2.0ms
x
@0
(/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
2.0ms
x
@-inf
(/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
0.0ms
x
@0
(-.f64 1/2 (/.f64 -1/2 x))
0.0ms
x
@inf
(-.f64 1/2 (/.f64 -1/2 x))

rewrite721.0ms (6.9%)

Algorithm
1×batch-egg-rewrite
Rules
607×prod-diff_binary64
550×log-prod_binary64
315×fma-def_binary64
226×log-div_binary64
212×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01128
125219
2355919
Stop Event
1×node limit
Counts
2 → 201
Calls
Call 1
Inputs
(/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(-.f64 1/2 (/.f64 -1/2 x))
Outputs
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x))) (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 (/.f64 (-.f64 1/4 (/.f64 1/4 (*.f64 x x))) (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 pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1)))) (#(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 pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 -1/2 x) (+.f64 1/2 (/.f64 -1/2 x)) 1/4) (-.f64 1/8 (pow.f64 (/.f64 -1/2 x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (-.f64 1/4 (/.f64 1/4 (*.f64 x x)))) -1)))) (#(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 log1p.f64 (expm1.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 exp.f64 (*.f64 (log.f64 (+.f64 1/2 (/.f64 1/2 x))) 1))))) (#(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 -1/2 (neg.f64 (/.f64 1 x)) 1/2)))) (#(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 (cbrt.f64 (/.f64 1/4 (*.f64 x x))) (neg.f64 (cbrt.f64 (/.f64 -1/2 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1/2 x)) (neg.f64 (sqrt.f64 (/.f64 -1/2 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 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 fma.f64 -1 (/.f64 -1/2 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.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 (neg.f64 (sqrt.f64 (/.f64 -1/2 x))) (sqrt.f64 (/.f64 -1/2 x)) 1/2)))))

simplify76.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
828×times-frac_binary64
529×associate-*l*_binary64
411×fma-def_binary64
403×associate-*r*_binary64
367×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01161125
1425975
21491865
37620851
Stop Event
1×node limit
Counts
221 → 215
Calls
Call 1
Inputs
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(+.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 1 (sqrt.f64 1/2)) x)) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))))
(-.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 (+.f64 1 (sqrt.f64 1/2)) x))) (+.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 (+.f64 1 (sqrt.f64 1/2)) x)))))))) (*.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 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2))))))
(-.f64 (+.f64 (*.f64 1/256 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 3)))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (sqrt.f64 1/2)) 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 1 (sqrt.f64 1/2)))) (*.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 -1/4 (/.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 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) (sqrt.f64 1/2))))) (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 3))))) (+.f64 (*.f64 -1/32 (/.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 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 3))))) (*.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 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2))))))))
(/.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 1/256 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (*.f64 (+.f64 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 (*.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 1/2 (/.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 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 1/2 (+.f64 1 (sqrt.f64 1/2)))
(+.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 1 (sqrt.f64 1/2)) x)) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))))
(+.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/2 (*.f64 (+.f64 1 (sqrt.f64 1/2)) x))) (/.f64 (/.f64 1/8 (+.f64 1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 1 (sqrt.f64 1/2)) x))))
(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (+.f64 (/.f64 (/.f64 1/8 (*.f64 x (+.f64 1/2 (sqrt.f64 1/2)))) (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/2 (*.f64 (+.f64 1 (sqrt.f64 1/2)) x))))
(+.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/2 (fma.f64 (sqrt.f64 1/2) x x))) (/.f64 1/8 (*.f64 (fma.f64 (sqrt.f64 1/2) x x) (+.f64 1/2 (sqrt.f64 1/2)))))
(-.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 (+.f64 1 (sqrt.f64 1/2)) x))) (+.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 (+.f64 1 (sqrt.f64 1/2)) x)))))))) (*.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 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2))))))
(+.f64 (/.f64 1/64 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (*.f64 x x))))) (-.f64 (+.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/2 (*.f64 (+.f64 1 (sqrt.f64 1/2)) x))) (/.f64 (/.f64 1/8 (+.f64 1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 1 (sqrt.f64 1/2)) x)))) (*.f64 -1/4 (/.f64 (+.f64 (/.f64 1/8 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (*.f64 x x)))))))
(+.f64 (+.f64 (+.f64 (/.f64 1/64 (*.f64 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (*.f64 x x)) (+.f64 (*.f64 1/2 (sqrt.f64 1/2)) 1/4))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) (+.f64 (/.f64 (/.f64 1/8 (*.f64 x (+.f64 1/2 (sqrt.f64 1/2)))) (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/2 (*.f64 (+.f64 1 (sqrt.f64 1/2)) x)))) (*.f64 (/.f64 (+.f64 (/.f64 1/8 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 (*.f64 x (+.f64 1/2 (sqrt.f64 1/2))) x)) 1/4))
(-.f64 (+.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/2 (fma.f64 (sqrt.f64 1/2) x x))) (+.f64 (/.f64 1/64 (*.f64 x (*.f64 (fma.f64 (sqrt.f64 1/2) x x) (fma.f64 1/2 (sqrt.f64 1/2) 1/4)))) (/.f64 1/8 (*.f64 (fma.f64 (sqrt.f64 1/2) x x) (+.f64 1/2 (sqrt.f64 1/2)))))) (/.f64 (+.f64 (/.f64 -1/32 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 -1/8 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 (*.f64 x x) (+.f64 1/2 (sqrt.f64 1/2)))))
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(+.f64 (+.f64 (/.f64 1/256 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (*.f64 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 3)) (+.f64 1 (sqrt.f64 1/2))))) (/.f64 1/2 (*.f64 (+.f64 1 (sqrt.f64 1/2)) x))) (-.f64 (+.f64 (/.f64 1/64 (*.f64 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (*.f64 x x)) (+.f64 (*.f64 1/2 (sqrt.f64 1/2)) 1/4))) (+.f64 (/.f64 (/.f64 1/8 (*.f64 x (+.f64 1/2 (sqrt.f64 1/2)))) (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))))) (fma.f64 -1/4 (/.f64 (+.f64 (/.f64 1/64 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 (*.f64 1/2 (sqrt.f64 1/2)) 1/4))) (*.f64 1/4 (/.f64 (+.f64 (/.f64 1/8 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) (+.f64 1/2 (sqrt.f64 1/2))))) (*.f64 (+.f64 1/2 (sqrt.f64 1/2)) (pow.f64 x 3))) (fma.f64 -1/4 (/.f64 (+.f64 (/.f64 1/8 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 (*.f64 x (+.f64 1/2 (sqrt.f64 1/2))) x)) (*.f64 -1/32 (/.f64 (+.f64 (/.f64 1/8 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/2 (*.f64 (+.f64 1/2 (sqrt.f64 1/2)) (pow.f64 x 3)))))))))
(-.f64 (+.f64 (+.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/2 (fma.f64 (sqrt.f64 1/2) x x))) (+.f64 (/.f64 1/64 (*.f64 x (*.f64 (fma.f64 (sqrt.f64 1/2) x x) (fma.f64 1/2 (sqrt.f64 1/2) 1/4)))) (/.f64 1/8 (*.f64 (fma.f64 (sqrt.f64 1/2) x x) (+.f64 1/2 (sqrt.f64 1/2)))))) (/.f64 (+.f64 (/.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))))) (fma.f64 1/2 (sqrt.f64 1/2) 1/4)) (/.f64 1/256 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (fma.f64 1/2 (sqrt.f64 1/2) 1/4)))) (*.f64 (+.f64 1/2 (sqrt.f64 1/2)) (pow.f64 x 3)))) (-.f64 (*.f64 (/.f64 (+.f64 (/.f64 1/8 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) (+.f64 1 (sqrt.f64 1/2))) (+.f64 (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) (*.f64 x x))) (/.f64 -1/32 (*.f64 1/2 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))))) (/.f64 1/256 (*.f64 (fma.f64 (sqrt.f64 1/2) x x) (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (*.f64 x (fma.f64 (sqrt.f64 1/2) x x)))))))
(-.f64 (+.f64 (+.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/2 (fma.f64 (sqrt.f64 1/2) x x))) (+.f64 (/.f64 1/64 (*.f64 x (*.f64 (fma.f64 (sqrt.f64 1/2) x x) (fma.f64 1/2 (sqrt.f64 1/2) 1/4)))) (/.f64 1/8 (*.f64 (fma.f64 (sqrt.f64 1/2) x x) (+.f64 1/2 (sqrt.f64 1/2)))))) (/.f64 (+.f64 (/.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))))) (fma.f64 1/2 (sqrt.f64 1/2) 1/4)) (/.f64 1/256 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (fma.f64 1/2 (sqrt.f64 1/2) 1/4)))) (*.f64 (+.f64 1/2 (sqrt.f64 1/2)) (pow.f64 x 3)))) (-.f64 (*.f64 (/.f64 (+.f64 (/.f64 1/8 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) (+.f64 1 (sqrt.f64 1/2))) (+.f64 (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) (*.f64 x x))) (/.f64 -1/32 (pow.f64 (*.f64 (sqrt.f64 1/2) x) 3)))) (/.f64 1/256 (*.f64 (fma.f64 (sqrt.f64 1/2) x x) (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (*.f64 x (fma.f64 (sqrt.f64 1/2) x 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 (/.f64 1 x)))
(+.f64 1/2 (/.f64 1/2 x))
(+.f64 1/2 (*.f64 1/2 (/.f64 1 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 (/.f64 1 x)))
(+.f64 1/2 (/.f64 1/2 x))
(+.f64 1/2 (*.f64 1/2 (/.f64 1 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 (/.f64 1 x)))
(+.f64 1/2 (/.f64 1/2 x))
(+.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 1/2 x))

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
✓0.0b
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
✓0.0b
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
1.9b
(-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
Compiler

Compiled 57 to 47 computations (17.5% saved)

series7.0ms (0.1%)

Counts
3 → 24
Calls

9 calls:

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

rewrite168.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
669×log-prod_binary64
665×prod-diff_binary64
335×fma-def_binary64
276×log-div_binary64
253×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01245
128445
2415345
Stop Event
1×node limit
Counts
3 → 211
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 1/2 (/.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 x)))))
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.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))) 1) 1)))) (#(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 1 (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))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (#(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 (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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 1/4 (/.f64 1/4 (*.f64 x x)))) (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) 1/2) 1/4)))))) (#(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 expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))))) (#(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 exp.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 1/2 (/.f64 1/2 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1/2 (/.f64 1/2 x)) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) -1)))))
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 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 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)))))) (#(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 (+.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 (+.f64 1 (+.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 (+.f64 1 (+.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 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (+.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 (-.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 (-.f64 (+.f64 1/2 (/.f64 1/2 x)) 1) (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1))))) (#(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 (+.f64 1 (+.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 pow.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1/2) 1)))))

simplify65.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
732×times-frac_binary64
610×associate-*l*_binary64
478×fma-def_binary64
453×associate-*r*_binary64
366×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01361476
15111314
219451252
Stop Event
1×node limit
Counts
235 → 243
Calls
Call 1
Inputs
(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 (sqrt.f64 1/2) (+.f64 (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (*.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 (+.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 (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (*.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 (+.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 1/256 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 3)))))) (+.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 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 1 (sqrt.f64 1/2)))
(+.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 -1 (/.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 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 1 (sqrt.f64 1/2)))) (*.f64 -1 (/.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 1 (sqrt.f64 1/2))))) x)))) (*.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 (+.f64 1 (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 1 (sqrt.f64 1/2)))) (+.f64 (*.f64 -1 (/.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 1 (sqrt.f64 1/2))))) x)) (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/256 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (+.f64 1 (sqrt.f64 1/2))))))) (+.f64 (*.f64 -1/32 (/.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 (pow.f64 (sqrt.f64 1/2) 3) (+.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 1/8 (/.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 1 (sqrt.f64 1/2))))) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (sqrt.f64 1/2))))) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (pow.f64 x 3)))))) (*.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 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2))))))
(+.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 (sqrt.f64 1/2) (+.f64 1 (+.f64 (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (*.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) 1)
(+.f64 1 (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (+.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 1 (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (*.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)))))
Outputs
(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 (+.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 (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) (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (*.f64 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)) -1/32)))
(+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) (*.f64 x x))))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (*.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 (/.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 1/32 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 x x))))
(+.f64 (+.f64 (/.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 (sqrt.f64 1/2) (*.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)))))
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(-.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 1 (sqrt.f64 1/2)))) (+.f64 (*.f64 -1 (/.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 1 (sqrt.f64 1/2))))) x)) (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/256 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (+.f64 1 (sqrt.f64 1/2))))))) (+.f64 (*.f64 -1/32 (/.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 (pow.f64 (sqrt.f64 1/2) 3) (+.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 1/8 (/.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 1 (sqrt.f64 1/2))))) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (sqrt.f64 1/2))))) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (pow.f64 x 3)))))) (*.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 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2))))))
(+.f64 (+.f64 (/.f64 1/64 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (*.f64 x x) (+.f64 (sqrt.f64 1/2) 1))))) (+.f64 (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (*.f64 -1 (+.f64 (/.f64 (-.f64 (/.f64 1/8 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 (sqrt.f64 1/2) 1)))) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))) x) (/.f64 (-.f64 (+.f64 (/.f64 1/4 (+.f64 (sqrt.f64 1/2) 1)) (/.f64 1/256 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (+.f64 (sqrt.f64 1/2) 1))))) (fma.f64 -1/32 (/.f64 (-.f64 (/.f64 1/8 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 (sqrt.f64 1/2) 1)))) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (+.f64 (sqrt.f64 1/2) 1))) (*.f64 -1/4 (/.f64 (+.f64 (/.f64 1/64 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (+.f64 (sqrt.f64 1/2) 1)))) (*.f64 1/4 (/.f64 (-.f64 (/.f64 1/8 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 (sqrt.f64 1/2) 1)))) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))) (*.f64 (sqrt.f64 1/2) (+.f64 (sqrt.f64 1/2) 1))))) (*.f64 (sqrt.f64 1/2) (+.f64 (sqrt.f64 1/2) 1)))))) (pow.f64 x 3)))))) (*.f64 1/4 (/.f64 (-.f64 (/.f64 1/8 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 (sqrt.f64 1/2) 1)))) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))) (*.f64 (*.f64 (sqrt.f64 1/2) (+.f64 (sqrt.f64 1/2) 1)) (*.f64 x x)))))
(+.f64 (-.f64 (-.f64 (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (/.f64 (+.f64 (/.f64 1/8 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 -1/2 (+.f64 (sqrt.f64 1/2) 1))) x)) (/.f64 (-.f64 (+.f64 (/.f64 1/4 (+.f64 (sqrt.f64 1/2) 1)) (/.f64 1/256 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 (sqrt.f64 1/2) 1))))) (fma.f64 -1/4 (/.f64 (+.f64 (/.f64 1/64 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1/4 (*.f64 1/2 (sqrt.f64 1/2))))) (*.f64 1/4 (/.f64 (+.f64 (/.f64 1/8 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 -1/2 (+.f64 (sqrt.f64 1/2) 1))) (+.f64 1/2 (sqrt.f64 1/2))))) (+.f64 1/2 (sqrt.f64 1/2))) (*.f64 -1/32 (/.f64 (+.f64 (/.f64 1/8 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 -1/2 (+.f64 (sqrt.f64 1/2) 1))) (+.f64 1/4 (*.f64 1/2 (sqrt.f64 1/2))))))) (pow.f64 x 3))) (-.f64 (/.f64 1/64 (*.f64 (*.f64 x (*.f64 x (+.f64 (sqrt.f64 1/2) 1))) (+.f64 1/4 (*.f64 1/2 (sqrt.f64 1/2))))) (*.f64 -1/4 (/.f64 (+.f64 (/.f64 1/8 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 -1/2 (+.f64 (sqrt.f64 1/2) 1))) (*.f64 (*.f64 x x) (+.f64 1/2 (sqrt.f64 1/2)))))))
(+.f64 (/.f64 1/64 (*.f64 (*.f64 x x) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (fma.f64 1/2 (sqrt.f64 1/2) 1/4)))) (+.f64 (-.f64 (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (/.f64 (+.f64 (/.f64 1/256 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (+.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1/2 (sqrt.f64 1/2))))) (-.f64 (-.f64 (/.f64 1/4 (+.f64 (sqrt.f64 1/2) 1)) (/.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 (/.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 -1/256 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (fma.f64 1/2 (sqrt.f64 1/2) 1/4)))) (+.f64 1/2 (sqrt.f64 1/2))))) (pow.f64 x 3))) (-.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 (+.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 (*.f64 x x) (+.f64 1/2 (sqrt.f64 1/2)))))))
(+.f64 1 (sqrt.f64 1/2))
(+.f64 (sqrt.f64 1/2) 1)
(+.f64 (sqrt.f64 1/2) (+.f64 1 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))
(+.f64 (sqrt.f64 1/2) (+.f64 1 (/.f64 1/4 (*.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 (sqrt.f64 1/2) (-.f64 (+.f64 1 (/.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) (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (-.f64 1 (*.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x))))))
(+.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) (*.f64 x x))))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 1 (+.f64 (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (*.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 (+.f64 1 (/.f64 1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (/.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) (+.f64 1 (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (-.f64 (/.f64 1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3))) (*.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)))))))
(+.f64 (sqrt.f64 1/2) (+.f64 1 (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (+.f64 (/.f64 1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3))) (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) (*.f64 x x))))))
(+.f64 (sqrt.f64 1/2) 1)
(+.f64 1 (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))
(+.f64 (sqrt.f64 1/2) (+.f64 1 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 1 (+.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 (sqrt.f64 1/2) (-.f64 (+.f64 1 (/.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) (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (-.f64 1 (*.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x))))))
(+.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) (*.f64 x x))))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (*.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 (+.f64 1 (/.f64 1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (/.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) (+.f64 1 (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (-.f64 (/.f64 1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3))) (*.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)))))))
(+.f64 (sqrt.f64 1/2) (+.f64 1 (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (+.f64 (/.f64 1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3))) (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) (*.f64 x x))))))

eval1.9s (18%)

Compiler

Compiled 40777 to 36012 computations (11.7% saved)

prune276.0ms (2.6%)

Pruning

19 alts after pruning (11 fresh and 8 done)

PrunedKeptTotal
New9605965
Fresh066
Picked101
Done088
Total96119980
Error
0b
Counts
980 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
✓33.1b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
31.8b
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
✓13.4b
(/.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))))))
13.9b
(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1))
▶13.9b
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 3) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
▶55.5b
(/.f64 1/2 2)
13.9b
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
✓30.9b
(*.f64 1/8 (*.f64 x x))
✓32.7b
(/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
31.2b
(+.f64 (*.f64 1/8 (*.f64 x x)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
✓32.3b
(-.f64 1 (sqrt.f64 1/2))
56.1b
(/.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)
✓13.9b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
31.4b
(+.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 -11/128 (pow.f64 x 4)))
▶32.6b
(/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
▶33.1b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
✓37.8b
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
✓13.4b
(/.f64 (/.f64 (-.f64 1/4 (pow.f64 (/.f64 -1/2 (hypot.f64 1 x)) 2)) (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
▶56.1b
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) 2)
Compiler

Compiled 366 to 322 computations (12% saved)

localize46.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 3) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
✓0.0b
(cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))
✓0.5b
(pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 3)
✓1.9b
(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
Compiler

Compiled 90 to 78 computations (13.3% saved)

series16.0ms (0.2%)

Counts
4 → 40
Calls

12 calls:

TimeVariablePointExpression
6.0ms
x
@inf
(pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 3)
3.0ms
x
@0
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 3) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
1.0ms
x
@0
(pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 3)
1.0ms
x
@inf
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 3) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
1.0ms
x
@-inf
(pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 3)

rewrite102.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
889×prod-diff_binary64
351×fma-def_binary64
229×log1p-udef_binary64
228×expm1-udef_binary64
217×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01659
136647
2486147
Stop Event
1×node limit
Counts
4 → 182
Calls
Call 1
Inputs
(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 3)
(cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 3) (+.f64 1 (sqrt.f64 (+.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 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (/.f64 (/.f64 1/4 (fma.f64 x x 1)) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (/.f64 1/2 (hypot.f64 1 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 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simplify89.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
600×associate-/l*_binary64
344×associate-*l/_binary64
322×associate-*r/_binary64
291×fma-def_binary64
253×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02832337
19351973
234711876
Stop Event
1×node limit
Counts
222 → 199
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))))
1/2
(+.f64 1/2 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3) (/.f64 1 x))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3) (/.f64 1 x)))))
(+.f64 1/2 (+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3) (/.f64 1 x))) (+.f64 (/.f64 (*.f64 (cbrt.f64 1/2) (+.f64 (*.f64 -1/18 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (pow.f64 x 2)) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3) (/.f64 1 (pow.f64 x 2)))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3) (/.f64 1 x))))))))
(+.f64 1/2 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/54 (pow.f64 1 1/3)) (*.f64 2/3 (/.f64 (-.f64 (+.f64 1/4 (*.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))))) (cbrt.f64 1/2)))) (cbrt.f64 1/2)) (pow.f64 x 3)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (/.f64 (+.f64 (*.f64 -1/18 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) (pow.f64 x 3)))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3) (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (+.f64 1/4 (*.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))))) (pow.f64 x 3))) (+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (/.f64 (*.f64 (cbrt.f64 1/2) (+.f64 (*.f64 -1/18 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (pow.f64 x 2)) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1/108 (*.f64 (pow.f64 1 1/3) (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 x 3))))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3) (/.f64 1 x))))))))))))
1/2
(+.f64 1/2 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/3 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)) (*.f64 -1/6 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) x)))
(+.f64 1/2 (+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/3 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)) (*.f64 -1/6 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) x)) (+.f64 (/.f64 (*.f64 (cbrt.f64 1/2) (+.f64 (*.f64 -1/18 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (pow.f64 x 2)) (*.f64 1/18 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3) (/.f64 1 (pow.f64 x 2))))))))
(+.f64 1/2 (+.f64 (*.f64 -1/36 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/3 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)) (*.f64 -1/6 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))) x)) (+.f64 (/.f64 (*.f64 (cbrt.f64 1/2) (+.f64 (*.f64 -1/18 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (pow.f64 x 2)) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3) (/.f64 1 (pow.f64 x 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/108 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (+.f64 (*.f64 1/3 (-.f64 (+.f64 1/4 (*.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 (*.f64 (cbrt.f64 1/2) (+.f64 (*.f64 1/54 (pow.f64 1 1/3)) (*.f64 2/3 (/.f64 (-.f64 (+.f64 1/4 (*.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))))) (cbrt.f64 1/2))))) (*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (+.f64 (*.f64 -1/18 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)) (*.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))))))) (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 1/3 (/.f64 (-.f64 (+.f64 1/4 (*.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 (*.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))))
(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 (+.f64 1/4 (*.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 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 1/4 (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 (+.f64 1/2 (/.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 1/2 (-.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (/.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 (/.f64 1/2 x)) (/.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 1/2 (-.f64 (/.f64 3/16 (pow.f64 x 5)) (/.f64 1/4 (pow.f64 x 3)))))
(+.f64 1/2 (-.f64 (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5))) (/.f64 1/4 (pow.f64 x 3))))
1/2
(+.f64 1/2 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3) (/.f64 1 x))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3) (/.f64 1 x)))))
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1/2
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(cbrt.f64 1/2)
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(-.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 (/.f64 1/2 (*.f64 x (+.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)))))) (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/8 (*.f64 (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))) (*.f64 x (+.f64 1 (sqrt.f64 1/2))))))) (*.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 (+.f64 (/.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 1/2))) (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (+.f64 (/.f64 (/.f64 (/.f64 1/8 (+.f64 1/2 (sqrt.f64 1/2))) (+.f64 1 (sqrt.f64 1/2))) x) (/.f64 1/64 (*.f64 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (*.f64 1/2 (+.f64 1/2 (sqrt.f64 1/2)))) (*.f64 x x)))))) (/.f64 -1/4 (/.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (sqrt.f64 1/2))) (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 (/.f64 1/8 (+.f64 1/2 (sqrt.f64 1/2))) (+.f64 1 (sqrt.f64 1/2)))))))
(-.f64 (+.f64 (/.f64 1/2 (+.f64 x (*.f64 x (sqrt.f64 1/2)))) (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (+.f64 (/.f64 1/8 (*.f64 (+.f64 x (*.f64 x (sqrt.f64 1/2))) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 1/64 (*.f64 (*.f64 x (+.f64 x (*.f64 x (sqrt.f64 1/2)))) (*.f64 1/2 (+.f64 1/2 (sqrt.f64 1/2)))))))) (/.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)))
(-.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))))))
(+.f64 (/.f64 1/2 (*.f64 x (+.f64 1 (sqrt.f64 1/2)))) (-.f64 (+.f64 (+.f64 (/.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))))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) (fma.f64 -1 (/.f64 (-.f64 (/.f64 1/4 (+.f64 1 (sqrt.f64 1/2))) (fma.f64 1/4 (/.f64 (+.f64 (/.f64 1/64 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 (sqrt.f64 1/2) 3)))) (*.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 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))) (fma.f64 1/4 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 4)) -1/4) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))) (/.f64 (*.f64 1/32 (+.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)) (pow.f64 (sqrt.f64 1/2) 3)))))) (pow.f64 x 3)) (/.f64 1/8 (*.f64 (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))) (*.f64 x (+.f64 1 (sqrt.f64 1/2))))))) (*.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 (+.f64 (+.f64 (+.f64 (/.f64 1/64 (*.f64 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (*.f64 1/2 (+.f64 1/2 (sqrt.f64 1/2)))) (*.f64 x x))) (/.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 1/2)))) (-.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 (-.f64 (/.f64 1/4 (+.f64 1 (sqrt.f64 1/2))) (fma.f64 1/4 (/.f64 (+.f64 (/.f64 1/64 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (*.f64 1/2 (+.f64 1/2 (sqrt.f64 1/2))))) (*.f64 1/4 (/.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 (/.f64 1/8 (+.f64 1/2 (sqrt.f64 1/2))) (+.f64 1 (sqrt.f64 1/2)))) (+.f64 1/2 (sqrt.f64 1/2))))) (+.f64 1/2 (sqrt.f64 1/2))) (fma.f64 1/32 (/.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 (/.f64 1/8 (+.f64 1/2 (sqrt.f64 1/2))) (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/2 (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 -3/64 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1/2 (sqrt.f64 1/2))))))) (pow.f64 x 3)))) (/.f64 (/.f64 (/.f64 1/8 (+.f64 1/2 (sqrt.f64 1/2))) (+.f64 1 (sqrt.f64 1/2))) x)) (*.f64 1/4 (/.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 (/.f64 1/8 (+.f64 1/2 (sqrt.f64 1/2))) (+.f64 1 (sqrt.f64 1/2)))) (*.f64 (*.f64 x x) (+.f64 1/2 (sqrt.f64 1/2))))))
(+.f64 (/.f64 1/2 (+.f64 x (*.f64 x (sqrt.f64 1/2)))) (+.f64 (/.f64 1/64 (*.f64 (*.f64 x (+.f64 x (*.f64 x (sqrt.f64 1/2)))) (*.f64 1/2 (+.f64 1/2 (sqrt.f64 1/2))))) (+.f64 (-.f64 (/.f64 1/8 (*.f64 (+.f64 x (*.f64 x (sqrt.f64 1/2))) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 (-.f64 (/.f64 1/4 (+.f64 1 (sqrt.f64 1/2))) (+.f64 (/.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 1/2 (+.f64 1/2 (sqrt.f64 1/2)))) (*.f64 (/.f64 1/4 (+.f64 1 (sqrt.f64 1/2))) (+.f64 (-.f64 (/.f64 (/.f64 1/64 (+.f64 1 (sqrt.f64 1/2))) (+.f64 1/4 (*.f64 1/4 (sqrt.f64 1/2)))) (/.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 (+.f64 1 (sqrt.f64 1/2))))) (/.f64 -3/16 (+.f64 1/2 (sqrt.f64 1/2))))))) (pow.f64 x 3))) (-.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.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))))))

localize3.0ms (0%)

Compiler

Compiled 6 to 6 computations (0% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 19 to 15 computations (21.1% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite69.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
634×pow1_binary64
595×add-log-exp_binary64
595×log1p-expm1-u_binary64
595×expm1-log1p-u_binary64
585×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11187
215687
Stop Event
1×node limit
Counts
1 → 31
Calls
Call 1
Inputs
(+.f64 1/2 (/.f64 1/2 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.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 (+.f64 1/2 (/.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.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 (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 (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 (+.f64 1/8 (/.f64 1/8 (pow.f64 x 3))) (/.f64 1 (+.f64 1/4 (-.f64 (/.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 1 (/.f64 (+.f64 1/4 (-.f64 (/.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 1/4 (-.f64 (/.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 1/4 (-.f64 (/.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 (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 pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)))) (#(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 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 log1p.f64 (expm1.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 1/2 (/.f64 1 x) 1/2)))) (#(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 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (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)))))

simplify40.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
2×+-commutative_binary64
2×*-commutative_binary64
2×fma-def_binary64
1×associate-*r/_binary64
1×distribute-rgt1-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0869
11369
21869
32069
Stop Event
1×saturated
Counts
43 → 35
Calls
Call 1
Inputs
(/.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 1/2 x)
(+.f64 1/2 (*.f64 1/2 (/.f64 1 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 (/.f64 1 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 (/.f64 1 x)))
(+.f64 1/2 (/.f64 1/2 x))
(+.f64 1/2 (*.f64 1/2 (/.f64 1 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 (/.f64 1 x)))
(+.f64 1/2 (/.f64 1/2 x))
(+.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 1/2 x))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
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 26 to 21 computations (19.2% saved)

series1.0ms (0%)

Counts
1 → 8
Calls

3 calls:

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

rewrite118.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
931×pow1_binary64
870×add-log-exp_binary64
870×log1p-expm1-u_binary64
870×expm1-log1p-u_binary64
854×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
118012
2235612
Stop Event
1×node limit
Counts
1 → 28
Calls
Call 1
Inputs
(-.f64 1 (sqrt.f64 (+.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 (+.f64 1 (+.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 (+.f64 1 (+.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 (+.f64 1 (+.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 1/2 (/.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 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) (neg.f64 (+.f64 (+.f64 1 (+.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 (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 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 log1p.f64 (expm1.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))))))))))

simplify57.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
865×fma-neg_binary64
552×associate-/l*_binary64
537×associate-/r*_binary64
411×distribute-neg-frac_binary64
333×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032216
194208
2281204
3973204
44416204
Stop Event
1×node limit
Counts
36 → 35
Calls
Call 1
Inputs
(-.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 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 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))))
(-.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 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 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))))
Outputs
(-.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 1 (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)))
(+.f64 1 (-.f64 (/.f64 -1/4 (*.f64 (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 (+.f64 1 (/.f64 1/32 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 x x)))) (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)) 1) (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x))))
(+.f64 (+.f64 1 (-.f64 (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)) (sqrt.f64 1/2))) (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)))
(+.f64 1 (+.f64 (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)) (-.f64 (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)) (sqrt.f64 1/2))))
(+.f64 1 (-.f64 (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)) (-.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x 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 (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))))
(-.f64 (+.f64 1 (/.f64 1/32 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 x x)))) (+.f64 (sqrt.f64 1/2) (+.f64 (/.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 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)) 1) (+.f64 (+.f64 (sqrt.f64 1/2) (/.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 (+.f64 (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)) (-.f64 (-.f64 (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)) (sqrt.f64 1/2)) (/.f64 1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3))))))
(+.f64 (-.f64 1 (sqrt.f64 1/2)) (+.f64 (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)) (-.f64 (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 (/.f64 1/128 (pow.f64 x 3)) (pow.f64 (sqrt.f64 1/2) 5)))))
(+.f64 1 (-.f64 (-.f64 (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)) (-.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)))) (/.f64 (/.f64 1/128 (pow.f64 x 3)) (pow.f64 (sqrt.f64 1/2) 5))))
(-.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 1 (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)))
(+.f64 1 (-.f64 (/.f64 -1/4 (*.f64 (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 (+.f64 1 (/.f64 1/32 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 x x)))) (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)) 1) (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x))))
(+.f64 (+.f64 1 (-.f64 (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)) (sqrt.f64 1/2))) (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)))
(+.f64 1 (+.f64 (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)) (-.f64 (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)) (sqrt.f64 1/2))))
(+.f64 1 (-.f64 (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)) (-.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x 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 (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))))
(-.f64 (+.f64 1 (/.f64 1/32 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 x x)))) (+.f64 (sqrt.f64 1/2) (+.f64 (/.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 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)) 1) (+.f64 (+.f64 (sqrt.f64 1/2) (/.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 (+.f64 (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)) (-.f64 (-.f64 (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)) (sqrt.f64 1/2)) (/.f64 1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3))))))
(+.f64 (-.f64 1 (sqrt.f64 1/2)) (+.f64 (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)) (-.f64 (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 (/.f64 1/128 (pow.f64 x 3)) (pow.f64 (sqrt.f64 1/2) 5)))))
(+.f64 1 (-.f64 (-.f64 (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)) (-.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)))) (/.f64 (/.f64 1/128 (pow.f64 x 3)) (pow.f64 (sqrt.f64 1/2) 5))))

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1/2 (/.f64 1/2 x))
0.0b
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
0.0b
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
✓0.1b
(/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
Compiler

Compiled 49 to 40 computations (18.4% saved)

series5.0ms (0%)

Counts
1 → 8
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 x)))))
2.0ms
x
@0
(/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
1.0ms
x
@inf
(/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))

rewrite104.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
621×prod-diff_binary64
474×log-prod_binary64
281×fma-def_binary64
269×pow2_binary64
200×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01221
127712
2410412
Stop Event
1×node limit
Counts
1 → 45
Calls
Call 1
Inputs
(/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.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 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.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 1 (*.f64 (neg.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 0 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (#(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 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 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 x))))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))))))) (#(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 (exp.f64 (log1p.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) 1)))) (#(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 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))) (*.f64 (sqrt.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 (-.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 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) (*.f64 (cbrt.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 (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 -1/2 (neg.f64 (/.f64 1/2 x))) (/.f64 1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.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 (pow.f64 (cbrt.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 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 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) (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 (/.f64 (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)) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4))) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4))) (/.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 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 x)) 3/2))) (-.f64 (+.f64 1 (+.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 (+.f64 1/2 (/.f64 1/2 x)) (+.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 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 pow.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3) (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 (/.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1) -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 x)))) -1)))))) (#(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 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 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 log1p.f64 (expm1.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 exp.f64 (*.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1))))))

simplify144.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
595×fma-neg_binary64
520×distribute-rgt-in_binary64
499×associate-/r*_binary64
425×distribute-neg-frac_binary64
295×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0951026
1347864
21144822
34880704
Stop Event
1×node limit
Counts
53 → 56
Calls
Call 1
Inputs
(/.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 (/.f64 (+.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 1/256 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (+.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 (*.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 1/2 (+.f64 1 (sqrt.f64 1/2)))
(+.f64 (*.f64 -1 (/.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))))))) x)) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))))
(-.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 (/.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))))))) x)) (*.f64 1/2 (/.f64 1 (+.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 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2))))))
(-.f64 (+.f64 (*.f64 -1 (/.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))))))) 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 1 (sqrt.f64 1/2)))) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/256 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (+.f64 1 (sqrt.f64 1/2)))))) (+.f64 (*.f64 -1/32 (/.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 (pow.f64 (sqrt.f64 1/2) 3) (+.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 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) (sqrt.f64 1/2))))) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (pow.f64 x 3)))))) (*.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 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2))))))
Outputs
(/.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)))
(fma.f64 -1 (/.f64 (+.f64 (/.f64 1/8 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 (sqrt.f64 1/2) 1)))) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))) x) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)))
(-.f64 (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (/.f64 (+.f64 (/.f64 1/8 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))) 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 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 x x))))) (-.f64 (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/8 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 (sqrt.f64 1/2) 1)))) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))) x) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))) (*.f64 -1/4 (/.f64 (+.f64 (/.f64 1/8 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 (sqrt.f64 1/2) 1)))) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))) (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 x x)))))))
(+.f64 (-.f64 (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (/.f64 (+.f64 (/.f64 1/8 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))) x)) (-.f64 (/.f64 (/.f64 1/64 (+.f64 (*.f64 1/2 (sqrt.f64 1/2)) 1/4)) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 x x))) (*.f64 -1/4 (/.f64 (+.f64 (/.f64 1/8 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))) (*.f64 (+.f64 1/2 (sqrt.f64 1/2)) (*.f64 x x))))))
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(-.f64 (+.f64 (/.f64 (/.f64 (/.f64 1/32 (+.f64 1/2 (sqrt.f64 1/2))) (+.f64 (sqrt.f64 1/2) 1)) (*.f64 x x)) (+.f64 (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (-.f64 (/.f64 (+.f64 (/.f64 -1/8 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 -1/2 (+.f64 (sqrt.f64 1/2) 1))) x) (/.f64 (/.f64 (+.f64 (/.f64 -1/32 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 -1/8 (+.f64 (sqrt.f64 1/2) 1))) (+.f64 1/2 (sqrt.f64 1/2))) (*.f64 x x))))) (/.f64 (fma.f64 1/4 (/.f64 (-.f64 (/.f64 (/.f64 1/32 (+.f64 1/2 (sqrt.f64 1/2))) (+.f64 (sqrt.f64 1/2) 1)) (/.f64 (+.f64 (/.f64 -1/32 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 -1/8 (+.f64 (sqrt.f64 1/2) 1))) (+.f64 1/2 (sqrt.f64 1/2)))) (+.f64 1/2 (sqrt.f64 1/2))) (+.f64 (/.f64 1/256 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 (sqrt.f64 1/2) 6)))) (/.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)))) (pow.f64 x 3)))
(+.f64 (/.f64 (/.f64 1/32 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1/2 (sqrt.f64 1/2)))) (*.f64 x x)) (-.f64 (+.f64 (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (*.f64 (/.f64 (+.f64 (/.f64 1/8 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))) x) (-.f64 -1 (/.f64 -1/4 (*.f64 (+.f64 1/2 (sqrt.f64 1/2)) x))))) (/.f64 (fma.f64 1/4 (/.f64 (+.f64 (/.f64 1/32 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 (+.f64 (/.f64 1/32 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 1/8 (+.f64 (sqrt.f64 1/2) 1))) (+.f64 1/2 (sqrt.f64 1/2)))) (+.f64 1/2 (sqrt.f64 1/2))) (-.f64 (/.f64 1/256 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1/8 (pow.f64 (sqrt.f64 1/2) 5)))) (/.f64 (+.f64 (/.f64 -1/256 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 -1/64 (+.f64 (sqrt.f64 1/2) 1))) (fma.f64 1/2 (sqrt.f64 1/2) 1/4)))) (pow.f64 x 3))))

eval391.0ms (3.7%)

Compiler

Compiled 13822 to 12442 computations (10% saved)

prune83.0ms (0.8%)

Pruning

22 alts after pruning (9 fresh and 13 done)

PrunedKeptTotal
New5254529
Fresh156
Picked011
Done01212
Total52622548
Error
0b
Counts
548 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
✓33.1b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
31.8b
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
✓13.4b
(/.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))))))
13.9b
(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1))
✓13.9b
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 3) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
✓30.9b
(*.f64 1/8 (*.f64 x x))
33.1b
(-.f64 1 (sqrt.f64 (-.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 x))) 1)))
✓32.7b
(/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
✓55.5b
(/.f64 1/2 2)
31.2b
(+.f64 (*.f64 1/8 (*.f64 x x)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
✓32.3b
(-.f64 1 (sqrt.f64 1/2))
56.1b
(/.f64 (-.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 x))) 1) 2)
56.1b
(/.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)
✓13.9b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
31.4b
(+.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 -11/128 (pow.f64 x 4)))
13.9b
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
✓13.4b
(/.f64 (/.f64 (-.f64 1/4 (pow.f64 (/.f64 -1/2 (hypot.f64 1 x)) 2)) (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
✓32.6b
(/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
56.4b
(/.f64 (/.f64 1 (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (-.f64 1/4 (/.f64 1/4 (*.f64 x x))))) 2)
✓33.1b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
✓37.8b
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
✓56.1b
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) 2)
Compiler

Compiled 278 to 245 computations (11.9% saved)

regimes441.0ms (4.2%)

Counts
27 → 2
Calls
Call 1
Inputs
(/.f64 1/2 2)
(*.f64 1/8 (*.f64 x x))
(/.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) 2)
(/.f64 (-.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 x))) 1) 2)
(/.f64 (/.f64 1 (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (-.f64 1/4 (/.f64 1/4 (*.f64 x x))))) 2)
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
(+.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 -11/128 (pow.f64 x 4)))
(-.f64 1 (sqrt.f64 (-.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 x))) 1)))
(/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (*.f64 x x)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(+.f64 (*.f64 1/8 (*.f64 x x)) (+.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 -11/128 (pow.f64 x 4))))
(/.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))))))
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 3) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (/.f64 (-.f64 1/4 (pow.f64 (/.f64 -1/2 (hypot.f64 1 x)) 2)) (-.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 1/8 (*.f64 x x)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(/.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

13 calls:

234.0ms
x
37.0ms
(/.f64 1 (hypot.f64 1 x))
35.0ms
(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))
21.0ms
(/.f64 1 (hypot.f64 1 x))
12.0ms
(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
Results
ErrorSegmentsBranch
0.0b3x
0.0b2(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
0.0b2(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
0.0b2(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
0.0b2(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
0.0b2(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))
0.0b2(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))
0.0b2(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
0.0b2(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
0.0b2(/.f64 1 (hypot.f64 1 x))
0.0b2(/.f64 1 (hypot.f64 1 x))
0.0b2(hypot.f64 1 x)
0.0b2(hypot.f64 1 x)
Compiler

Compiled 430 to 371 computations (13.7% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.000002776211109
1.0905421863102727
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes329.0ms (3.2%)

Counts
22 → 3
Calls
Call 1
Inputs
(/.f64 1/2 2)
(*.f64 1/8 (*.f64 x x))
(/.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) 2)
(/.f64 (-.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 x))) 1) 2)
(/.f64 (/.f64 1 (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (-.f64 1/4 (/.f64 1/4 (*.f64 x x))))) 2)
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
(+.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 -11/128 (pow.f64 x 4)))
(-.f64 1 (sqrt.f64 (-.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 x))) 1)))
(/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (*.f64 x x)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(+.f64 (*.f64 1/8 (*.f64 x x)) (+.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 -11/128 (pow.f64 x 4))))
Outputs
(/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(+.f64 (*.f64 1/8 (*.f64 x x)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
Calls

13 calls:

66.0ms
x
55.0ms
(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
53.0ms
(/.f64 1 (hypot.f64 1 x))
35.0ms
(/.f64 1 (hypot.f64 1 x))
18.0ms
(hypot.f64 1 x)
Results
ErrorSegmentsBranch
0.3b3x
0.4b2(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
0.4b2(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
0.4b2(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
0.4b2(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
0.4b2(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))
0.4b2(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))
0.4b2(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
0.4b2(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
0.4b2(/.f64 1 (hypot.f64 1 x))
0.4b2(/.f64 1 (hypot.f64 1 x))
0.4b2(hypot.f64 1 x)
0.4b2(hypot.f64 1 x)
Compiler

Compiled 339 to 289 computations (14.7% saved)

bsearch48.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
23.0ms
0.0023563594643754527
173.57551095783666
24.0ms
-14945416546.382404
-0.4350658112543313
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes136.0ms (1.3%)

Counts
20 → 3
Calls
Call 1
Inputs
(/.f64 1/2 2)
(*.f64 1/8 (*.f64 x x))
(/.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) 2)
(/.f64 (-.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 x))) 1) 2)
(/.f64 (/.f64 1 (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (-.f64 1/4 (/.f64 1/4 (*.f64 x x))))) 2)
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
(+.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 -11/128 (pow.f64 x 4)))
(-.f64 1 (sqrt.f64 (-.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 x))) 1)))
(/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (*.f64 x x)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
Outputs
(/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(+.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 -11/128 (pow.f64 x 4)))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
Calls

13 calls:

38.0ms
x
17.0ms
(/.f64 1 (hypot.f64 1 x))
16.0ms
(/.f64 1 (hypot.f64 1 x))
9.0ms
(hypot.f64 1 x)
9.0ms
(hypot.f64 1 x)
Results
ErrorSegmentsBranch
0.4b3x
0.5b2(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
0.5b2(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
0.5b2(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
0.5b2(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
0.5b2(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))
0.5b2(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))
0.5b2(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
0.5b2(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
0.5b2(/.f64 1 (hypot.f64 1 x))
0.5b2(/.f64 1 (hypot.f64 1 x))
0.5b2(hypot.f64 1 x)
0.5b2(hypot.f64 1 x)
Compiler

Compiled 305 to 263 computations (13.8% saved)

bsearch47.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
22.0ms
0.0023563594643754527
173.57551095783666
25.0ms
-14945416546.382404
-0.4350658112543313
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes139.0ms (1.3%)

Counts
19 → 3
Calls
Call 1
Inputs
(/.f64 1/2 2)
(*.f64 1/8 (*.f64 x x))
(/.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) 2)
(/.f64 (-.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 x))) 1) 2)
(/.f64 (/.f64 1 (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (-.f64 1/4 (/.f64 1/4 (*.f64 x x))))) 2)
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
(+.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 -11/128 (pow.f64 x 4)))
(-.f64 1 (sqrt.f64 (-.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 x))) 1)))
(/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (*.f64 x x)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1))
Outputs
(/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(+.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 -11/128 (pow.f64 x 4)))
(/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
Calls

13 calls:

27.0ms
x
15.0ms
(/.f64 1 (hypot.f64 1 x))
15.0ms
(/.f64 1 (hypot.f64 1 x))
9.0ms
(hypot.f64 1 x)
8.0ms
(hypot.f64 1 x)
Results
ErrorSegmentsBranch
0.4b3x
0.5b2(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
0.5b2(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
0.5b2(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
0.5b2(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))
0.5b2(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))
0.5b2(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))
0.5b2(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
0.5b2(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
0.5b2(/.f64 1 (hypot.f64 1 x))
0.5b2(/.f64 1 (hypot.f64 1 x))
0.5b2(hypot.f64 1 x)
0.5b2(hypot.f64 1 x)
Compiler

Compiled 289 to 249 computations (13.8% saved)

bsearch47.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
24.0ms
0.0023563594643754527
173.57551095783666
23.0ms
-14945416546.382404
-0.4350658112543313
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes92.0ms (0.9%)

Counts
14 → 3
Calls
Call 1
Inputs
(/.f64 1/2 2)
(*.f64 1/8 (*.f64 x x))
(/.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) 2)
(/.f64 (-.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 x))) 1) 2)
(/.f64 (/.f64 1 (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (-.f64 1/4 (/.f64 1/4 (*.f64 x x))))) 2)
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
(+.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 -11/128 (pow.f64 x 4)))
(-.f64 1 (sqrt.f64 (-.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 x))) 1)))
(/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
Outputs
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(+.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 -11/128 (pow.f64 x 4)))
(/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
Calls

3 calls:

55.0ms
(hypot.f64 1 x)
26.0ms
x
7.0ms
(hypot.f64 1 x)
Results
ErrorSegmentsBranch
0.5b3x
0.5b2(hypot.f64 1 x)
0.5b2(hypot.f64 1 x)
Compiler

Compiled 133 to 112 computations (15.8% saved)

bsearch48.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
22.0ms
0.0023563594643754527
173.57551095783666
25.0ms
-14945416546.382404
-0.4350658112543313
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes108.0ms (1%)

Counts
13 → 2
Calls
Call 1
Inputs
(/.f64 1/2 2)
(*.f64 1/8 (*.f64 x x))
(/.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) 2)
(/.f64 (-.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 x))) 1) 2)
(/.f64 (/.f64 1 (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (-.f64 1/4 (/.f64 1/4 (*.f64 x x))))) 2)
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)
(+.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 -11/128 (pow.f64 x 4)))
(-.f64 1 (sqrt.f64 (-.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 x))) 1)))
Outputs
(+.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 -11/128 (pow.f64 x 4)))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
Calls

3 calls:

75.0ms
(hypot.f64 1 x)
22.0ms
x
6.0ms
(hypot.f64 1 x)
Results
ErrorSegmentsBranch
0.7b3x
0.7b2(hypot.f64 1 x)
0.7b2(hypot.f64 1 x)
Compiler

Compiled 119 to 100 computations (16% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.0905421863102727
173.57839152461943
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes44.0ms (0.4%)

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

3 calls:

27.0ms
x
6.0ms
(hypot.f64 1 x)
6.0ms
(hypot.f64 1 x)
Results
ErrorSegmentsBranch
0.8b3x
0.8b2(hypot.f64 1 x)
0.8b2(hypot.f64 1 x)
Compiler

Compiled 96 to 81 computations (15.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.0905421863102727
173.57839152461943
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes18.0ms (0.2%)

Counts
7 → 3
Calls
Call 1
Inputs
(/.f64 1/2 2)
(*.f64 1/8 (*.f64 x x))
(/.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) 2)
(/.f64 (-.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 x))) 1) 2)
(/.f64 (/.f64 1 (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (-.f64 1/4 (/.f64 1/4 (*.f64 x x))))) 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 57 to 47 computations (17.5% saved)

bsearch48.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
23.0ms
0.0023563594643754527
173.57551095783666
24.0ms
-14945416546.382404
-0.4350658112543313
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes16.0ms (0.2%)

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

1 calls:

14.0ms
x
Results
ErrorSegmentsBranch
24.5b3x
Compiler

Compiled 53 to 43 computations (18.9% saved)

bsearch51.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
22.0ms
0.0023563594643754527
173.57551095783666
28.0ms
-14945416546.382404
-0.4350658112543313
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes14.0ms (0.1%)

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

1 calls:

11.0ms
x
Results
ErrorSegmentsBranch
24.5b3x
Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch51.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
26.0ms
0.0023563594643754527
173.57551095783666
25.0ms
-14945416546.382404
-0.4350658112543313
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes11.0ms (0.1%)

Accuracy

Total -37.3b remaining (-152.2%)

Threshold costs -37.3b (-152.2%)

Counts
2 → 3
Calls
Call 1
Inputs
(/.f64 1/2 2)
(*.f64 1/8 (*.f64 x x))
Outputs
(/.f64 1/2 2)
(*.f64 1/8 (*.f64 x x))
(/.f64 1/2 2)
Calls

1 calls:

10.0ms
x
Results
ErrorSegmentsBranch
24.5b3x
Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch49.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
24.0ms
0.0023563594643754527
173.57551095783666
25.0ms
-14945416546.382404
-0.4350658112543313
Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify28.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
074525
197525
2110525
3116525
4119525
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (hypot.f64 1 x) 4728779608739021/4503599627370496) (+.f64 (*.f64 1/8 (*.f64 x x)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4)))) (/.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 -3917851275134869/262144) (/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (if (<=.f64 x 2716697499062331/1152921504606846976) (+.f64 (*.f64 1/8 (*.f64 x x)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4)))) (/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(if (<=.f64 x -3917851275134869/262144) (/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (if (<=.f64 x 2716697499062331/1152921504606846976) (+.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 -11/128 (pow.f64 x 4))) (/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(if (<=.f64 x -3917851275134869/262144) (/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (if (<=.f64 x 2716697499062331/1152921504606846976) (+.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 -11/128 (pow.f64 x 4))) (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(if (<=.f64 x -3917851275134869/262144) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (if (<=.f64 x 2716697499062331/1152921504606846976) (+.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 -11/128 (pow.f64 x 4))) (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(if (<=.f64 (hypot.f64 1 x) 2) (+.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 -11/128 (pow.f64 x 4))) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)))
(if (<=.f64 (hypot.f64 1 x) 2) (*.f64 1/8 (*.f64 x x)) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)))
(if (<=.f64 x -3917851275134869/262144) (-.f64 1 (sqrt.f64 1/2)) (if (<=.f64 x 2716697499062331/1152921504606846976) (*.f64 1/8 (*.f64 x x)) (-.f64 1 (sqrt.f64 1/2))))
(if (<=.f64 x -3917851275134869/262144) (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2) (if (<=.f64 x 2716697499062331/1152921504606846976) (*.f64 1/8 (*.f64 x x)) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) 2)))
(if (<=.f64 x -3917851275134869/262144) (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2) (if (<=.f64 x 2716697499062331/1152921504606846976) (*.f64 1/8 (*.f64 x x)) (/.f64 1/2 2)))
(if (<=.f64 x -3917851275134869/262144) (/.f64 1/2 2) (if (<=.f64 x 2716697499062331/1152921504606846976) (*.f64 1/8 (*.f64 x x)) (/.f64 1/2 2)))
(/.f64 1/2 2)
Outputs
(if (<=.f64 (hypot.f64 1 x) 4728779608739021/4503599627370496) (+.f64 (*.f64 1/8 (*.f64 x x)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4)))) (/.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 (hypot.f64 1 x) 4728779608739021/4503599627370496) (+.f64 (*.f64 1/8 (*.f64 x x)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4)))) (/.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 -3917851275134869/262144) (/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (if (<=.f64 x 2716697499062331/1152921504606846976) (+.f64 (*.f64 1/8 (*.f64 x x)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4)))) (/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(if (<=.f64 x -3917851275134869/262144) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (if (<=.f64 x 2716697499062331/1152921504606846976) (+.f64 (*.f64 1/8 (*.f64 x x)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4)))) (/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(if (<=.f64 x -3917851275134869/262144) (/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (if (<=.f64 x 2716697499062331/1152921504606846976) (+.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 -11/128 (pow.f64 x 4))) (/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(if (<=.f64 x -3917851275134869/262144) (/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (if (<=.f64 x 2716697499062331/1152921504606846976) (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 x (*.f64 x 1/8))) (/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(if (<=.f64 x -3917851275134869/262144) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (if (<=.f64 x 2716697499062331/1152921504606846976) (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 x (*.f64 x 1/8))) (/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(if (<=.f64 x -3917851275134869/262144) (/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (if (<=.f64 x 2716697499062331/1152921504606846976) (+.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 -11/128 (pow.f64 x 4))) (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(if (<=.f64 x -3917851275134869/262144) (/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (if (<=.f64 x 2716697499062331/1152921504606846976) (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 x (*.f64 x 1/8))) (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(if (<=.f64 x -3917851275134869/262144) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (if (<=.f64 x 2716697499062331/1152921504606846976) (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 x (*.f64 x 1/8))) (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(if (<=.f64 x -3917851275134869/262144) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (if (<=.f64 x 2716697499062331/1152921504606846976) (+.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 -11/128 (pow.f64 x 4))) (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(if (<=.f64 x -3917851275134869/262144) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (if (<=.f64 x 2716697499062331/1152921504606846976) (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 x (*.f64 x 1/8))) (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(if (<=.f64 (hypot.f64 1 x) 2) (+.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 -11/128 (pow.f64 x 4))) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)))
(if (<=.f64 (hypot.f64 1 x) 2) (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 x (*.f64 x 1/8))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))))
(if (<=.f64 (hypot.f64 1 x) 2) (*.f64 1/8 (*.f64 x x)) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)))
(if (<=.f64 (hypot.f64 1 x) 2) (*.f64 1/8 (*.f64 x x)) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))))
(if (<=.f64 x -3917851275134869/262144) (-.f64 1 (sqrt.f64 1/2)) (if (<=.f64 x 2716697499062331/1152921504606846976) (*.f64 1/8 (*.f64 x x)) (-.f64 1 (sqrt.f64 1/2))))
(if (<=.f64 x -3917851275134869/262144) (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2) (if (<=.f64 x 2716697499062331/1152921504606846976) (*.f64 1/8 (*.f64 x x)) (/.f64 (+.f64 1/2 (/.f64 1/2 x)) 2)))
(if (<=.f64 x -3917851275134869/262144) (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2) (if (<=.f64 x 2716697499062331/1152921504606846976) (*.f64 1/8 (*.f64 x x)) (/.f64 1/2 2)))
(if (<=.f64 x -3917851275134869/262144) (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2) (if (<=.f64 x 2716697499062331/1152921504606846976) (*.f64 1/8 (*.f64 x x)) 1/4))
(if (<=.f64 x -3917851275134869/262144) (/.f64 1/2 2) (if (<=.f64 x 2716697499062331/1152921504606846976) (*.f64 1/8 (*.f64 x x)) (/.f64 1/2 2)))
(if (<=.f64 x -3917851275134869/262144) 1/4 (if (<=.f64 x 2716697499062331/1152921504606846976) (*.f64 1/8 (*.f64 x x)) 1/4))
(/.f64 1/2 2)
1/4
Compiler

Compiled 368 to 300 computations (18.5% saved)

soundness28.0ms (0.3%)

Algorithm
2×egg-herbie
Rules
8×sub-neg_binary64
8×fma-def_binary64
8×sub-neg_binary64
8×fma-def_binary64
5×+-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01018
12215
22915
33715
44415
55415
66515
77715
88015
01018
12215
22915
33715
44415
55415
66515
77715
88015
Stop Event
1×saturated
1×saturated
Compiler

Compiled 134 to 124 computations (7.5% saved)

end261.0ms (2.5%)

Compiler

Compiled 357 to 283 computations (20.7% saved)

Profiling

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