Details

Time bar (total: 11.7s)

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)

sample2.8s (24%)

Results
1.6s2180×body2048valid
677.0ms4516×body256valid
398.0ms1061×body1024valid
128.0ms499×body512valid

preprocess18.0ms (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)

simplify37.0ms (0.3%)

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
17.1b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶17.1b
(-.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 (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 37 to 31 computations (16.2% saved)

series6.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

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

rewrite130.0ms (1.1%)

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
0941
120141
2260241
Stop Event
1×node limit
Counts
4 → 195
Calls
Call 1
Inputs
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(hypot.f64 1 x)
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1/4 (-.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 1/4 (hypot.f64 1 x)))) (fma.f64 1/8 (pow.f64 (hypot.f64 1 x) -3) 1/8)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (-.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1/2 (hypot.f64 1 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (/.f64 1 (hypot.f64 1 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 (hypot.f64 1 x)) 1 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/4 (fma.f64 x x 1))) (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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 fma.f64 -1/2 (/.f64 1 (neg.f64 (hypot.f64 1 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (hypot.f64 1 x)) 1/2 1/2)))))

simplify60.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
534×fma-def_binary64
337×associate-*l/_binary64
335×times-frac_binary64
315×associate-*r/_binary64
308×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0136876
1413799
21232782
33817782
Stop Event
1×node limit
Counts
243 → 276
Calls
Call 1
Inputs
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (+.f64 (*.f64 -1843/32768 (pow.f64 x 8)) (*.f64 -11/128 (pow.f64 x 4)))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))))) (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))) (sqrt.f64 1/2))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))) (sqrt.f64 1/2))
1
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 1 (*.f64 11/128 (pow.f64 x 4))))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -69/1024 (pow.f64 x 6)) (+.f64 1 (*.f64 11/128 (pow.f64 x 4)))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(sqrt.f64 1/2)
(-.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))
(-.f64 (+.f64 (sqrt.f64 1/2) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
x
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
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)))))
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 69/1024 (pow.f64 x 6) (fma.f64 1/8 (*.f64 x x) (fma.f64 -11/128 (pow.f64 x 4) (*.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 x) (sqrt.f64 1/2))))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x)))
(+.f64 1 (-.f64 (/.f64 (/.f64 -1/4 (sqrt.f64 1/2)) x) (sqrt.f64 1/2)))
(-.f64 (+.f64 1 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))
(+.f64 1 (-.f64 (/.f64 1/32 (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))))
(-.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)) 1) (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))))
(+.f64 (-.f64 1 (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x))) (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)))
(+.f64 1 (+.f64 (/.f64 1/16 (*.f64 (*.f64 x x) (sqrt.f64 1/2))) (-.f64 (/.f64 (/.f64 -1/4 (sqrt.f64 1/2)) x) (sqrt.f64 1/2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))))) (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1/32 (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 4)) -1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))))) (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))))
(+.f64 1 (-.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)) (/.f64 3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))))
(+.f64 1 (+.f64 (/.f64 3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)) (-.f64 (/.f64 -1/4 (*.f64 x (sqrt.f64 1/2))) (sqrt.f64 1/2)))))
(+.f64 (+.f64 (/.f64 1/16 (*.f64 (*.f64 x x) (sqrt.f64 1/2))) (+.f64 1 (/.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 x) (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(-.f64 (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x) (-.f64 (sqrt.f64 1/2) 1))
(+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))) (sqrt.f64 1/2))
(+.f64 1 (-.f64 (+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (/.f64 1/32 (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)))) (sqrt.f64 1/2)))
(+.f64 1 (-.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(+.f64 (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)) (-.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)) (-.f64 (/.f64 1/16 (*.f64 (*.f64 x 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 x) (sqrt.f64 1/2)))) (-.f64 (/.f64 -3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (sqrt.f64 1/2)))
(+.f64 (+.f64 1 (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x)) (+.f64 (-.f64 (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)) (sqrt.f64 1/2)) (/.f64 -3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))))
(+.f64 1 (+.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 (*.f64 (*.f64 x x) (sqrt.f64 1/2))) (sqrt.f64 1/2)))))
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))
(fma.f64 (pow.f64 x 4) 11/128 (fma.f64 (*.f64 x x) -1/8 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 (*.f64 -69/1024 (pow.f64 x 6)) (+.f64 1 (*.f64 11/128 (pow.f64 x 4)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 -69/1024 (pow.f64 x 6) (+.f64 1 (*.f64 (pow.f64 x 4) 11/128))))
(fma.f64 (*.f64 x x) -1/8 (fma.f64 (pow.f64 x 6) -69/1024 (fma.f64 (pow.f64 x 4) 11/128 1)))
(fma.f64 x (*.f64 x -1/8) (fma.f64 (pow.f64 x 4) 11/128 (fma.f64 (pow.f64 x 6) -69/1024 1)))
(fma.f64 (pow.f64 x 6) -69/1024 (fma.f64 (pow.f64 x 4) 11/128 (fma.f64 (*.f64 x x) -1/8 1)))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))
(+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))
(+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x))
(-.f64 (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(+.f64 (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 (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) (/.f64 (*.f64 (/.f64 2 (sqrt.f64 1/2)) 1/32) (*.f64 x x)))
(+.f64 (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x)) (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)) (-.f64 (/.f64 1/16 (*.f64 (*.f64 x 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 (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 -3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (-.f64 (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) (/.f64 (*.f64 (/.f64 2 (sqrt.f64 1/2)) 1/32) (*.f64 x x))))
(+.f64 (/.f64 -3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (+.f64 (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 (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 x) (sqrt.f64 1/2))) (-.f64 (/.f64 -3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (/.f64 1/16 (*.f64 (*.f64 x x) (sqrt.f64 1/2)))))
(sqrt.f64 1/2)
(-.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
(-.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 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 x) (sqrt.f64 1/2))))
(+.f64 (-.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 (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 x) (sqrt.f64 1/2))) (/.f64 1/16 (*.f64 (*.f64 x x) (sqrt.f64 1/2))))
(-.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))))))
(+.f64 (sqrt.f64 1/2) (-.f64 (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 4)) -1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (/.f64 1/32 (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3))))))
(+.f64 (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 x) (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (+.f64 (/.f64 -1/4 (*.f64 x (sqrt.f64 1/2))) (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) (*.f64 x x)))))
(+.f64 (/.f64 3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (-.f64 (-.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) (/.f64 1/16 (*.f64 (*.f64 x x) (sqrt.f64 1/2)))))
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 (*.f64 x x) 1/2))
(fma.f64 (*.f64 x x) 1/2 1)
(fma.f64 x (*.f64 x 1/2) 1)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/8)))
(+.f64 1 (fma.f64 (*.f64 x x) 1/2 (*.f64 (pow.f64 x 4) -1/8)))
(fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 4) -1/8 1))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 6) (*.f64 (pow.f64 x 4) -1/8))))
(+.f64 1 (fma.f64 (*.f64 x x) 1/2 (fma.f64 (pow.f64 x 4) -1/8 (*.f64 (pow.f64 x 6) 1/16))))
(+.f64 1 (fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 4) -1/8 (*.f64 (pow.f64 x 6) 1/16))))
(+.f64 (fma.f64 x (*.f64 x 1/2) 1) (fma.f64 (pow.f64 x 6) 1/16 (*.f64 (pow.f64 x 4) -1/8)))
x
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (/.f64 1/2 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (-.f64 x (/.f64 1/8 (pow.f64 x 3))))
(+.f64 x (+.f64 (/.f64 1/2 x) (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (-.f64 (+.f64 x (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (+.f64 x (-.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/8 (pow.f64 x 3)))))
(+.f64 x (+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 -1/8 (pow.f64 x 3)))))
(+.f64 x (+.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/8 (pow.f64 x 3)))))
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 1/2 x))
(fma.f64 x -1 (/.f64 -1/2 x))
(-.f64 (/.f64 -1/2 x) x)
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (neg.f64 x) (/.f64 1/2 x)))
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) x) (/.f64 -1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) x))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (neg.f64 x) (/.f64 1/2 x))) (/.f64 1/16 (pow.f64 x 5)))
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) x) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (-.f64 (/.f64 -1/2 x) x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 -1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 -1/2 x) x) (/.f64 1/16 (pow.f64 x 5))))
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 (pow.f64 x 4) 3/16 (fma.f64 (*.f64 x x) -1/4 1))
(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 1 (fma.f64 (pow.f64 x 6) -5/32 (fma.f64 (pow.f64 x 4) 3/16 (*.f64 (*.f64 x x) -1/4))))
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 (/.f64 1/2 x) (+.f64 1/2 (/.f64 -1/4 (pow.f64 x 3))))
(+.f64 1/2 (+.f64 (/.f64 1/2 x) (/.f64 -1/4 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (-.f64 (+.f64 1/2 (/.f64 3/16 (pow.f64 x 5))) (/.f64 1/4 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 3/16 (pow.f64 x 5)) (+.f64 1/2 (/.f64 -1/4 (pow.f64 x 3)))))
(+.f64 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 (/.f64 1/2 x) (/.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 (+.f64 1/2 (/.f64 1/4 (pow.f64 x 3))) (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (-.f64 1/2 (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5)))))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (-.f64 (+.f64 1/2 (/.f64 -1/2 x)) (/.f64 3/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 1/2 (+.f64 (/.f64 -1/2 x) (/.f64 -3/16 (pow.f64 x 5)))))

eval207.0ms (1.8%)

Compiler

Compiled 5016 to 4476 computations (10.8% saved)

prune94.0ms (0.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New26610276
Fresh000
Picked011
Done000
Total26611277
Error
0b
Counts
277 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
▶16.6b
(/.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))))))
31.1b
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
17.2b
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
30.7b
(*.f64 1/8 (*.f64 x x))
▶33.4b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
✓17.1b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
33.6b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
▶31.4b
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (*.f64 x x)))
▶47.3b
(-.f64 1 1)
▶32.7b
(-.f64 1 (sqrt.f64 1/2))
32.3b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))))
Compiler

Compiled 225 to 194 computations (13.8% saved)

localize110.0ms (0.9%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(hypot.f64 1 x)
✓0.0b
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
0.0b
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
✓1.0b
(-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
Compiler

Compiled 62 to 53 computations (14.5% saved)

series9.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
2.0ms
x
@-inf
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
1.0ms
x
@0
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
1.0ms
x
@0
(-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
1.0ms
x
@inf
(-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))

rewrite231.0ms (2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01137
125425
2366225
Stop Event
1×node limit
Counts
2 → 200
Calls
Call 1
Inputs
(-.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))))))
Outputs
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(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4))) (/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 2) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4))) (/.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) (+.f64 1 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (-.f64 1/2 (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))) (+.f64 1/2 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(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 cbrt.f64 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 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 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(hypot.f64 1 x))))))) (neg.f64 (/.f64 1/2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (sqrt.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (neg.f64 (/.f64 1/2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) (+.f64 1 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (-.f64 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (neg.f64 (/.f64 1/2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (neg.f64 (/.f64 1/2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (hypot.f64 1 x)))))))))

simplify59.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
657×fma-def_binary64
626×times-frac_binary64
567×associate-*l*_binary64
420×associate-*r*_binary64
293×associate-+l+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01641326
15301133
219091050
Stop Event
1×node limit
Counts
224 → 243
Calls
Call 1
Inputs
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -3/16 (pow.f64 x 4)))
(+.f64 (*.f64 5/32 (pow.f64 x 6)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -3/16 (pow.f64 x 4))))
(+.f64 (*.f64 5/32 (pow.f64 x 6)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 -3/16 (pow.f64 x 4)) (*.f64 -35/256 (pow.f64 x 8)))))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 1/2 (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 1/2 (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 3/16 (/.f64 1 (pow.f64 x 5)))))
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) 1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (*.f64 3/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (+.f64 (*.f64 -1843/32768 (pow.f64 x 8)) (*.f64 -11/128 (pow.f64 x 4)))))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x)))
(-.f64 (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x)))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))))))
(-.f64 (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x)) (*.f64 1/4 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (pow.f64 x 3))))))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))))) (+.f64 (*.f64 1/32 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 3))))) (+.f64 (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 3)))))) (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1)))) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))))))))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(+.f64 (/.f64 1/8 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 1 (sqrt.f64 1/2)) x)))) (+.f64 (/.f64 1/2 (*.f64 (+.f64 (sqrt.f64 1/2) 1) x)) (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) x))) (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 1 (sqrt.f64 1/2)) x)))))))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) x))) (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (+.f64 (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1)))) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (sqrt.f64 1/2)))) (+.f64 (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (*.f64 1/32 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (pow.f64 (sqrt.f64 1/2) 3))))))) (pow.f64 x 3))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 1 (sqrt.f64 1/2)) x))))))))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))))))
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 (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 (pow.f64 x 4) -3/16 (*.f64 1/4 (*.f64 x x))))
(fma.f64 (pow.f64 x 4) -3/16 (fma.f64 5/32 (pow.f64 x 6) (*.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 -35/256 (pow.f64 x 8) (*.f64 (pow.f64 x 4) -3/16))))
(fma.f64 1/4 (*.f64 x x) (fma.f64 5/32 (pow.f64 x 6) (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)))
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(-.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (+.f64 (/.f64 (/.f64 1/8 (+.f64 1/2 (sqrt.f64 1/2))) (fma.f64 x (sqrt.f64 1/2) x)) (+.f64 (/.f64 1/64 (*.f64 x (*.f64 (fma.f64 x (sqrt.f64 1/2) x) (fma.f64 1/2 (sqrt.f64 1/2) 1/4)))) (/.f64 1/2 (fma.f64 x (sqrt.f64 1/2) x))))) (/.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 (*.f64 x x) (+.f64 1/2 (sqrt.f64 1/2)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) x))) (+.f64 (*.f64 1/64 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (*.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 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)))))) (+.f64 (/.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 1/32 (/.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)) (pow.f64 (sqrt.f64 1/2) 3))))))) (pow.f64 x 3)) (/.f64 1/8 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (*.f64 (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 1/2 x) (+.f64 1 (sqrt.f64 1/2))) (+.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (+.f64 (-.f64 (/.f64 1/8 (*.f64 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1/2 (sqrt.f64 1/2))) x)) (/.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 1/4 (*.f64 1/2 (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 1/2 (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 1/8 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1/2 (sqrt.f64 1/2))))) (+.f64 1/4 (*.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 1/64 (*.f64 (*.f64 x (*.f64 x (+.f64 1 (sqrt.f64 1/2)))) (+.f64 1/4 (*.f64 1/2 (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 1/2 (sqrt.f64 1/2))))) (*.f64 (*.f64 x x) (+.f64 1/2 (sqrt.f64 1/2)))))))
(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (+.f64 (+.f64 (/.f64 1/64 (*.f64 x (*.f64 (fma.f64 x (sqrt.f64 1/2) x) (fma.f64 1/2 (sqrt.f64 1/2) 1/4)))) (-.f64 (/.f64 (/.f64 1/8 (+.f64 1/2 (sqrt.f64 1/2))) (fma.f64 x (sqrt.f64 1/2) x)) (/.f64 (-.f64 (-.f64 (/.f64 1/4 (+.f64 1 (sqrt.f64 1/2))) (*.f64 (/.f64 1/4 (+.f64 1 (sqrt.f64 1/2))) (+.f64 (-.f64 (/.f64 (/.f64 1/64 (fma.f64 1/2 (sqrt.f64 1/2) 1/4)) (+.f64 1/2 (sqrt.f64 1/2))) (/.f64 (+.f64 (/.f64 -1/8 (+.f64 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 1/2 (sqrt.f64 1/2))))) (/.f64 -3/16 (+.f64 1/2 (sqrt.f64 1/2)))))) (/.f64 (+.f64 (/.f64 1/64 (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/256 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1/2 (sqrt.f64 1/2))))) (fma.f64 1/2 (sqrt.f64 1/2) 1/4))) (pow.f64 x 3)))) (-.f64 (/.f64 1/2 (fma.f64 x (sqrt.f64 1/2) x)) (/.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 (*.f64 x x) (+.f64 1/2 (sqrt.f64 1/2)))))))

localize3.0ms (0%)

Compiler

Compiled 5 to 5 computations (0% saved)

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

rewrite67.0ms (0.6%)

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))))))))

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

localize12.0ms (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)

series7.0ms (0.1%)

Counts
3 → 28
Calls

9 calls:

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

rewrite121.0ms (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
0828
118028
2235628
Stop Event
1×node limit
Counts
3 → 86
Calls
Call 1
Inputs
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(+.f64 1/2 (/.f64 1/2 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (/.f64 1 (+.f64 (+.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))))))))))
((#(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 (+.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 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1/4 (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/4 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1/4 (/.f64 1/4 (*.f64 x x)))) (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))))
((#(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 1 (+.f64 1/2 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (/.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4) (*.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 x 3))) (/.f64 1 (+.f64 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 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 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 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1/2 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (/.f64 1/2 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (/.f64 1 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (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)))))

simplify53.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
702×associate-/l*_binary64
673×associate-/r*_binary64
653×distribute-neg-frac_binary64
337×associate-*l*_binary64
291×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038477
1115469
2347453
31188453
45342453
Stop Event
1×node limit
Counts
114 → 104
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))))))
(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 x)
(+.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(+.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(+.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(+.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(+.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(+.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(+.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
Outputs
(-.f64 1 (sqrt.f64 1/2))
(-.f64 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 (-.f64 1 (sqrt.f64 1/2)) (/.f64 -1/4 (*.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 (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 1/16 (*.f64 x (*.f64 (sqrt.f64 1/2) x)))) (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) 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 (-.f64 1 (sqrt.f64 1/2)) (+.f64 (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)) (/.f64 -1/4 (*.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 (-.f64 (/.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 (/.f64 1/16 (*.f64 x (*.f64 (sqrt.f64 1/2) x))) (-.f64 (-.f64 1 (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 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.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 1/16 (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 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 (-.f64 1 (sqrt.f64 1/2)) (/.f64 -1/4 (*.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 (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 1/16 (*.f64 x (*.f64 (sqrt.f64 1/2) x)))) (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) 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 (-.f64 1 (sqrt.f64 1/2)) (+.f64 (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)) (/.f64 -1/4 (*.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 (-.f64 (/.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 (/.f64 1/16 (*.f64 x (*.f64 (sqrt.f64 1/2) x))) (-.f64 (-.f64 1 (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 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.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 1/16 (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))))))
(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 (+.f64 (sqrt.f64 1/2) (/.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 1/4 (*.f64 (sqrt.f64 1/2) x)) (+.f64 (sqrt.f64 1/2) (/.f64 (*.f64 -1/32 (/.f64 2 (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 (/.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 (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)))))
(+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (-.f64 (+.f64 (sqrt.f64 1/2) (/.f64 1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (/.f64 1/16 (*.f64 x (*.f64 (sqrt.f64 1/2) x)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (+.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 (/.f64 -1/16 (sqrt.f64 1/2)) (*.f64 x x))))
(+.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 (sqrt.f64 1/2) (/.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 (sqrt.f64 1/2) x)))
(-.f64 (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(-.f64 (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x))) (/.f64 1/32 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 x x))))
(+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (+.f64 (sqrt.f64 1/2) (/.f64 (*.f64 -1/32 (/.f64 2 (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 (/.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 (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)))))
(+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (-.f64 (+.f64 (sqrt.f64 1/2) (/.f64 1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (/.f64 1/16 (*.f64 x (*.f64 (sqrt.f64 1/2) x)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (+.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 (/.f64 -1/16 (sqrt.f64 1/2)) (*.f64 x x))))
(+.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 (sqrt.f64 1/2) (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) (*.f64 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))

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓14.8b
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (*.f64 x x)))
Compiler

Compiled 26 to 15 computations (42.3% saved)

series2.0ms (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
@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)))

rewrite50.0ms (0.4%)

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)))))))))

simplify179.0ms (1.5%)

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))))

eval1.0s (9%)

Compiler

Compiled 22440 to 20030 computations (10.7% saved)

prune145.0ms (1.2%)

Pruning

16 alts after pruning (11 fresh and 5 done)

PrunedKeptTotal
New5737580
Fresh145
Picked101
Done055
Total57516591
Error
0b
Counts
591 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
▶33.6b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
▶41.0b
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 1))
▶32.9b
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
▶17.1b
(pow.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) -1)
✓16.6b
(/.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))))))
31.1b
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
17.2b
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
31.4b
(*.f64 x (fma.f64 1/8 x (*.f64 -11/128 (pow.f64 x 3))))
32.2b
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
✓33.4b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
▶30.7b
(*.f64 x (*.f64 x 1/8))
✓17.1b
(-.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)))
✓47.3b
(-.f64 1 1)
✓32.7b
(-.f64 1 (sqrt.f64 1/2))
32.3b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))))
Compiler

Compiled 310 to 268 computations (13.5% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 64 to 56 computations (12.5% saved)

series9.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite69.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
489×log-prod_binary64
387×prod-diff_binary64
299×pow2_binary64
272×pow-prod-down_binary64
217×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01239
126733
2336633
Stop Event
1×node limit
Counts
2 → 85
Calls
Call 1
Inputs
(/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(pow.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) -1)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (sqrt.f64 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(hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.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 1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1))))) (#(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 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(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -2))) (/.f64 1 (cbrt.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 /.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 (+.f64 1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)) (+.f64 1 (-.f64 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2)) (-.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(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 (neg.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 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)))) (#(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 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (neg.f64 (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))) 1/4) (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.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 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) 1)))))

simplify66.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
789×times-frac_binary64
709×associate-*l*_binary64
641×fma-def_binary64
407×associate-/l*_binary64
249×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01781831
15651564
222331447
Stop Event
1×node limit
Counts
109 → 127
Calls
Call 1
Inputs
(/.f64 8 (pow.f64 x 2))
(+.f64 11/2 (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(+.f64 11/2 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2))))
(+.f64 11/2 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 69/256 (pow.f64 x 4)) (*.f64 -17/32 (pow.f64 x 2)))))
(/.f64 1 (-.f64 1 (sqrt.f64 1/2)))
(+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (/.f64 1 (-.f64 1 (sqrt.f64 1/2))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (pow.f64 x 2))))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (/.f64 1 (-.f64 1 (sqrt.f64 1/2))))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 x 2))))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (pow.f64 x 2))))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))) (+.f64 (*.f64 -1/4 (/.f64 (-.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (*.f64 (sqrt.f64 1/2) (-.f64 1 (sqrt.f64 1/2))))) (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 4) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))))) (pow.f64 x 3))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (/.f64 1 (-.f64 1 (sqrt.f64 1/2)))))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 x 2))))))
(/.f64 1 (-.f64 1 (sqrt.f64 1/2)))
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (pow.f64 x 2))))) (/.f64 1 (-.f64 1 (sqrt.f64 1/2)))) (+.f64 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 x 2))))) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (pow.f64 x 2))))) (+.f64 (*.f64 -1/4 (/.f64 (-.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 x 3) (-.f64 1 (sqrt.f64 1/2)))))) (+.f64 (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 4) (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (pow.f64 x 3))))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (/.f64 1 (-.f64 1 (sqrt.f64 1/2))))))) (+.f64 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 x 2))))) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))))))
(*.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 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (-.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (/.f64 (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (-.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))))) (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (-.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2))))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (-.f64 1 (sqrt.f64 1/2)) (-.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))))) (sqrt.f64 1/2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))) (+.f64 (*.f64 -1/4 (/.f64 (-.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (*.f64 (sqrt.f64 1/2) (-.f64 1 (sqrt.f64 1/2))))) (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 4) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))))) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))) (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 1 (sqrt.f64 1/2))))) (*.f64 (-.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))) (*.f64 (sqrt.f64 1/2) (-.f64 1 (sqrt.f64 1/2))))))) (pow.f64 x 3))) 1)) (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (/.f64 (*.f64 (-.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)) (pow.f64 x 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 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (-.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2))))))) (+.f64 (sqrt.f64 1/2) (/.f64 (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (-.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))))) (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (-.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2))))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (-.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (-.f64 1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 1 (sqrt.f64 1/2))))) (*.f64 (-.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 x 3) (-.f64 1 (sqrt.f64 1/2)))))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))) (+.f64 (*.f64 -1/4 (/.f64 (-.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (*.f64 (sqrt.f64 1/2) (-.f64 1 (sqrt.f64 1/2))))) (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 4) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))))) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)) (pow.f64 x 3)))))))) (+.f64 (sqrt.f64 1/2) (/.f64 (*.f64 (-.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)) (pow.f64 x 2))))
Outputs
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(+.f64 11/2 (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(+.f64 11/2 (/.f64 8 (*.f64 x x)))
(+.f64 11/2 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2))))
(+.f64 11/2 (+.f64 (/.f64 8 (*.f64 x x)) (*.f64 (*.f64 x x) -17/32)))
(+.f64 11/2 (fma.f64 (*.f64 x x) -17/32 (/.f64 8 (*.f64 x x))))
(+.f64 11/2 (fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x))))
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(-.f64 1 (sqrt.f64 1/2))
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(-.f64 (-.f64 (+.f64 1 (+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (*.f64 x x) (-.f64 1 (sqrt.f64 1/2))))))) (sqrt.f64 1/2)) (/.f64 (-.f64 (/.f64 1/16 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3))) (/.f64 1/32 (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 (sqrt.f64 1/2) 3)))) (/.f64 (*.f64 x x) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))
(+.f64 1 (-.f64 (-.f64 (+.f64 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))) (/.f64 1/8 (*.f64 x (*.f64 x (-.f64 1 (sqrt.f64 1/2)))))) (sqrt.f64 1/2)) (*.f64 (/.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) x) (/.f64 (+.f64 (/.f64 1/8 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)) (/.f64 -1/32 (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (*.f64 (sqrt.f64 1/2) 1/2)))) x))))
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(-.f64 (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (*.f64 (-.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2))))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (-.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (-.f64 1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 1 (sqrt.f64 1/2))))) (*.f64 (-.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 x 3) (-.f64 1 (sqrt.f64 1/2)))))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))) (+.f64 (*.f64 -1/4 (/.f64 (-.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (*.f64 (sqrt.f64 1/2) (-.f64 1 (sqrt.f64 1/2))))) (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 4) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))))) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)) (pow.f64 x 3)))))))) (+.f64 (sqrt.f64 1/2) (/.f64 (*.f64 (-.f64 (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)) (pow.f64 x 2))))
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localize5.0ms (0%)

Compiler

Compiled 11 to 7 computations (36.4% saved)

localize12.0ms (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 27 to 22 computations (18.5% saved)

series3.0ms (0%)

Counts
3 → 28
Calls

9 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
(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)))

rewrite66.0ms (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
0928
119928
2249628
Stop Event
1×node limit
Counts
3 → 89
Calls
Call 1
Inputs
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))
(+.f64 1/2 (/.f64 -1/2 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (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)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (-.f64 1/2 (/.f64 -1/2 x))) (/.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 1/2 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1/2 (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1/4) (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1/4) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/8 (/.f64 -1/8 (pow.f64 x 3))) (/.f64 1 (-.f64 (+.f64 1/4 (/.f64 1/4 (*.f64 x x))) (/.f64 -1/4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/4 (/.f64 1/4 (*.f64 x x))) (/.f64 1 (-.f64 1/2 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1/4)) (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 1/4 (/.f64 1/4 (*.f64 x x))) (/.f64 -1/4 x)) (+.f64 1/8 (/.f64 -1/8 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (-.f64 1/4 (/.f64 1/4 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (/.f64 -1/8 (pow.f64 x 3))) (-.f64 (+.f64 1/4 (/.f64 1/4 (*.f64 x x))) (/.f64 -1/4 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (/.f64 -1/8 (pow.f64 x 3))) (+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 1/4 (/.f64 -1/4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (/.f64 1/4 (*.f64 x x))) (-.f64 1/2 (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/8 (/.f64 -1/8 (pow.f64 x 3)))) (neg.f64 (-.f64 (+.f64 1/4 (/.f64 1/4 (*.f64 x x))) (/.f64 -1/4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/4 (/.f64 1/4 (*.f64 x x)))) (neg.f64 (-.f64 1/2 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) 1/4) (-.f64 (/.f64 -1/2 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1/2 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1/2 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (/.f64 -1/2 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (/.f64 1 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x x))) (cbrt.f64 (/.f64 -1/2 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 x)) 1/2)))))

simplify56.0ms (0.5%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
041477
1125461
2363453
31245453
45418453
Stop Event
1×node limit
Counts
117 → 107
Calls
Call 1
Inputs
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))) (sqrt.f64 1/2))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))) (sqrt.f64 1/2))
(sqrt.f64 1/2)
(-.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))
(-.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))))
(sqrt.f64 1/2)
(-.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))
(-.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))))
(/.f64 -1/2 x)
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
Outputs
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))) (sqrt.f64 1/2))
(-.f64 (+.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 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 (/.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 (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)) (sqrt.f64 1/2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))) (sqrt.f64 1/2))
(+.f64 1 (-.f64 (+.f64 (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 1/32 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 x x)))) (/.f64 1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (sqrt.f64 1/2)))
(+.f64 (+.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x))) (/.f64 1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (-.f64 1 (sqrt.f64 1/2)))
(+.f64 (+.f64 (/.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 (-.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (sqrt.f64 1/2))))
(+.f64 1 (+.f64 (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x))) (-.f64 (/.f64 1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3))) (sqrt.f64 1/2))))
(+.f64 (+.f64 1 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x))) (-.f64 (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)) (+.f64 (sqrt.f64 1/2) (/.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 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 (/.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 (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)) (sqrt.f64 1/2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/128 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))) (sqrt.f64 1/2))
(+.f64 1 (-.f64 (+.f64 (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 1/32 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 x x)))) (/.f64 1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (sqrt.f64 1/2)))
(+.f64 (+.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x))) (/.f64 1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (-.f64 1 (sqrt.f64 1/2)))
(+.f64 (+.f64 (/.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 (-.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (sqrt.f64 1/2))))
(+.f64 1 (+.f64 (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x))) (-.f64 (/.f64 1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3))) (sqrt.f64 1/2))))
(+.f64 (+.f64 1 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x))) (-.f64 (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)) (+.f64 (sqrt.f64 1/2) (/.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 -1/4 (*.f64 (sqrt.f64 1/2) x)) (+.f64 (/.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 (+.f64 (sqrt.f64 1/2) (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) x))) (+.f64 (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) (*.f64 x x)) (/.f64 (/.f64 -1/128 (pow.f64 (sqrt.f64 1/2) 5)) (pow.f64 x 3))))
(+.f64 (+.f64 (sqrt.f64 1/2) (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) x))) (+.f64 (/.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 -1/4 (*.f64 (sqrt.f64 1/2) x)) (+.f64 (/.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 (+.f64 (sqrt.f64 1/2) (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) x))) (+.f64 (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) (*.f64 x x)) (/.f64 (/.f64 -1/128 (pow.f64 (sqrt.f64 1/2) 5)) (pow.f64 x 3))))
(+.f64 (+.f64 (sqrt.f64 1/2) (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) x))) (+.f64 (/.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 -1/2 x)
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
(+.f64 1/2 (/.f64 -1/2 x))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
(+.f64 1/2 (/.f64 -1/2 x))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
(+.f64 1/2 (/.f64 -1/2 x))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
(+.f64 1/2 (/.f64 -1/2 x))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
(+.f64 1/2 (/.f64 -1/2 x))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
(+.f64 1/2 (/.f64 -1/2 x))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
(+.f64 1/2 (/.f64 -1/2 x))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
(+.f64 1/2 (/.f64 -1/2 x))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
(+.f64 1/2 (/.f64 -1/2 x))

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(hypot.f64 1 x)
1.0b
(-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
Compiler

Compiled 33 to 28 computations (15.2% saved)

localize19.0ms (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)))
✓0.2b
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
Compiler

Compiled 45 to 37 computations (17.8% saved)

series7.0ms (0.1%)

Counts
3 → 28
Calls

9 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)))))
0.0ms
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))))

rewrite128.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
607×prod-diff_binary64
537×log-prod_binary64
315×fma-def_binary64
295×pow2_binary64
226×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01040
123331
2341631
Stop Event
1×node limit
Counts
3 → 254
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 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1/2 (/.f64 1/2 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 -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 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) x)))) (sqrt.f64 (/.f64 1/2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) x))) (/.f64 1/2 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 1/2 x)) 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(log.f64 (sqrt.f64 (exp.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (log.f64 (sqrt.f64 (exp.f64 (+.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))) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 (fma.f64 (/.f64 1/2 x) (+.f64 1/2 (/.f64 1/2 x)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/4 (/.f64 1/4 (*.f64 x x))) (/.f64 1 (+.f64 1/2 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (*.f64 x x))) (+.f64 1/8 (/.f64 1/8 (pow.f64 x 3)))) (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) 1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (*.f64 x x))) (-.f64 1/4 (/.f64 1/4 (*.f64 x x)))) (+.f64 1/2 (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 1/2 x) (+.f64 1/2 (/.f64 1/2 x)) 1/4) (-.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))) (fma.f64 (/.f64 1/2 x) (+.f64 1/2 (/.f64 1/2 x)) 1/4))))) (#(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 (fma.f64 (/.f64 1/2 x) (+.f64 1/2 (/.f64 1/2 x)) 1/4)))))) (#(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 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3)) (+.f64 1 (+.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 2) (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (pow.f64 (/.f64 -1/2 x) 3)) (+.f64 1/4 (-.f64 (pow.f64 (/.f64 -1/2 x) 2) (*.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)) 2)) (+.f64 1 (+.f64 1/2 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (pow.f64 (/.f64 -1/2 x) 2)) (-.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))) 1) (+.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))) (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 (/.f64 1/8 (pow.f64 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 (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 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (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 -1/2 (/.f64 1 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)))) (#(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 (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 (neg.f64 (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)) 1/2)))))

simplify69.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
629×associate-/r*_binary64
618×fma-neg_binary64
496×distribute-neg-frac_binary64
323×fma-def_binary64
304×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01231311
14371149
214131095
358301085
Stop Event
1×node limit
Counts
282 → 279
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))))))
(+.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)))))
(/.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 (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))
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(+.f64 (fma.f64 -1 (/.f64 (fma.f64 1/4 (/.f64 (+.f64 (/.f64 1/64 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (pow.f64 (sqrt.f64 1/2) 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 (sqrt.f64 1/2) (+.f64 (sqrt.f64 1/2) 1))))) (*.f64 (sqrt.f64 1/2) (+.f64 (sqrt.f64 1/2) 1))) (+.f64 (/.f64 1/256 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (pow.f64 (sqrt.f64 1/2) 5)))) (*.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 (+.f64 (sqrt.f64 1/2) 1) (pow.f64 (sqrt.f64 1/2) 3)))))) (pow.f64 x 3)) (+.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 1/64 (*.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 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 (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (/.f64 (fma.f64 1/4 (/.f64 (+.f64 (/.f64 1/64 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 (*.f64 1/2 (sqrt.f64 1/2)) 1/4))) (*.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))) (fma.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 (*.f64 1/2 (sqrt.f64 1/2)) 1/4)) (/.f64 1/256 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (*.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 (sqrt.f64 1/2) 1)))))) (pow.f64 x 3))) (-.f64 (/.f64 1/64 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 1/2 (*.f64 (+.f64 1/2 (sqrt.f64 1/2)) (*.f64 x x))))) (/.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 1/4 (/.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)))))
(-.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 1/32 (+.f64 1/2 (sqrt.f64 1/2))) (+.f64 (sqrt.f64 1/2) 1)) (*.f64 x x)) (/.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 (+.f64 1/2 (sqrt.f64 1/2)) (*.f64 x x))))) (/.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)) (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 1/256 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 (sqrt.f64 1/2) 6)))))) (pow.f64 x 3)))
(+.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 (/.f64 1/32 (+.f64 1/2 (sqrt.f64 1/2))) (+.f64 (sqrt.f64 1/2) 1)) (*.f64 x 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 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 1/8 (+.f64 (sqrt.f64 1/2) 1)) (/.f64 -1/32 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1/2 (sqrt.f64 1/2))))) (+.f64 1/2 (sqrt.f64 1/2)))) (+.f64 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))))
(+.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 (+.f64 (sqrt.f64 1/2) 1) (/.f64 1/4 (*.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 (sqrt.f64 1/2) (*.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 (sqrt.f64 1/2) (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (+.f64 1 (/.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 1 (-.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 (/.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 (sqrt.f64 1/2) (/.f64 1/32 (*.f64 (sqrt.f64 1/2) (*.f64 1/2 (*.f64 x x))))))
(+.f64 (+.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 1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3))))
(+.f64 (+.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 (sqrt.f64 1/2) (/.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 (+.f64 (sqrt.f64 1/2) 1) (/.f64 1/4 (*.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 (sqrt.f64 1/2) (*.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 (sqrt.f64 1/2) (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (+.f64 1 (/.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 1 (-.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 (/.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 (sqrt.f64 1/2) (/.f64 1/32 (*.f64 (sqrt.f64 1/2) (*.f64 1/2 (*.f64 x x))))))
(+.f64 (+.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 1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3))))
(+.f64 (+.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 (sqrt.f64 1/2) (/.f64 (/.f64 -1/16 (sqrt.f64 1/2)) (*.f64 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 x))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
(+.f64 1/2 (/.f64 -1/2 x))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
(+.f64 1/2 (/.f64 -1/2 x))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
(+.f64 1/2 (/.f64 -1/2 x))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
(+.f64 1/2 (/.f64 -1/2 x))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
(+.f64 1/2 (/.f64 -1/2 x))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
(+.f64 1/2 (/.f64 -1/2 x))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
(+.f64 1/2 (/.f64 -1/2 x))
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
(+.f64 1/2 (/.f64 -1/2 x))

eval833.0ms (7.1%)

Compiler

Compiled 25541 to 22846 computations (10.6% saved)

prune177.0ms (1.5%)

Pruning

21 alts after pruning (13 fresh and 8 done)

PrunedKeptTotal
New80611817
Fresh426
Picked011
Done279
Total81221833
Error
0b
Counts
833 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
33.8b
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
✓33.6b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
✓32.9b
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
32.2b
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
56.0b
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 1))
✓16.6b
(/.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))))))
31.1b
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
▶17.1b
(/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
25.9b
(pow.f64 (+.f64 11/2 (/.f64 8 (*.f64 x x))) -1)
✓33.4b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
56.5b
(/.f64 (-.f64 (+.f64 1/2 (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x))) (+.f64 1 1))
✓30.7b
(*.f64 x (*.f64 x 1/8))
✓17.1b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
56.1b
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 1))
▶55.5b
(/.f64 (-.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))) (+.f64 1 1))
▶31.1b
(pow.f64 (+.f64 11/2 (fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x)))) -1)
✓47.3b
(-.f64 1 1)
✓32.7b
(-.f64 1 (sqrt.f64 1/2))
▶55.5b
(/.f64 1/2 (+.f64 1 1))
▶32.3b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))))
56.5b
(/.f64 (+.f64 (+.f64 1/2 (/.f64 -1/2 x)) (/.f64 1/4 (pow.f64 x 3))) (+.f64 1 1))
Compiler

Compiled 408 to 357 computations (12.5% saved)

localize93.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

Compiled 63 to 55 computations (12.7% saved)

localize5.0ms (0%)

Compiler

Compiled 11 to 11 computations (0% saved)

localize18.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 44 to 34 computations (22.7% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite49.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
811×pow1_binary64
760×add-log-exp_binary64
760×log1p-expm1-u_binary64
760×expm1-log1p-u_binary64
745×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
114310
2205410
Stop Event
1×node limit
Counts
1 → 22
Calls
Call 1
Inputs
(/.f64 1/2 (+.f64 x (/.f64 1/2 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 1 (+.f64 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))) (cbrt.f64 (/.f64 1/4 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2))) (cbrt.f64 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))) (sqrt.f64 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 1 (neg.f64 (+.f64 x (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (/.f64 1/2 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) (fma.f64 x x (*.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (-.f64 (*.f64 x x) (pow.f64 (/.f64 1/2 x) 2))) (-.f64 x (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x (/.f64 1/2 x)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))))))))

simplify62.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
702×associate-/l*_binary64
524×fma-def_binary64
497×distribute-neg-frac_binary64
416×div-sub_binary64
323×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038186
1106186
2262186
3658186
41528186
54418186
67521186
Stop Event
1×node limit
Counts
34 → 36
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -2 (pow.f64 x 3)) x)
(+.f64 (*.f64 4 (pow.f64 x 5)) (+.f64 (*.f64 -2 (pow.f64 x 3)) x))
(+.f64 (*.f64 4 (pow.f64 x 5)) (+.f64 (*.f64 -2 (pow.f64 x 3)) (+.f64 (*.f64 -8 (pow.f64 x 7)) x)))
(/.f64 1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 5)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 7))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))))
(/.f64 1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 5)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 7))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))))
Outputs
x
(+.f64 (*.f64 -2 (pow.f64 x 3)) x)
(fma.f64 -2 (pow.f64 x 3) x)
(+.f64 (*.f64 4 (pow.f64 x 5)) (+.f64 (*.f64 -2 (pow.f64 x 3)) x))
(fma.f64 4 (pow.f64 x 5) (fma.f64 -2 (pow.f64 x 3) x))
(fma.f64 -2 (pow.f64 x 3) (fma.f64 4 (pow.f64 x 5) x))
(+.f64 (*.f64 4 (pow.f64 x 5)) (+.f64 (*.f64 -2 (pow.f64 x 3)) (+.f64 (*.f64 -8 (pow.f64 x 7)) x)))
(fma.f64 4 (pow.f64 x 5) (fma.f64 -2 (pow.f64 x 3) (fma.f64 -8 (pow.f64 x 7) x)))
(fma.f64 -2 (pow.f64 x 3) (fma.f64 4 (pow.f64 x 5) (fma.f64 -8 (pow.f64 x 7) x)))
(fma.f64 -8 (pow.f64 x 7) (fma.f64 -2 (pow.f64 x 3) (fma.f64 4 (pow.f64 x 5) x)))
(/.f64 1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1/2 x) (/.f64 1/4 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (/.f64 -1/4 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 5)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/8 (pow.f64 x 5)) (/.f64 1/4 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 5))) (/.f64 -1/4 (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 1/2 x) (/.f64 1/4 (pow.f64 x 3))) (/.f64 1/8 (pow.f64 x 5)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 7))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 5))) (+.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 7))))
(+.f64 (/.f64 1/2 x) (-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 5)) (/.f64 -1/4 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 7))))
(+.f64 (/.f64 1/8 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 -1/16 (pow.f64 x 7))) (/.f64 -1/4 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 5)) (/.f64 1/4 (pow.f64 x 3))) (+.f64 (/.f64 1/2 x) (/.f64 -1/16 (pow.f64 x 7))))
(-.f64 (-.f64 (/.f64 1/2 x) (/.f64 1/4 (pow.f64 x 3))) (-.f64 (/.f64 1/16 (pow.f64 x 7)) (/.f64 1/8 (pow.f64 x 5))))
(-.f64 (-.f64 (/.f64 1/2 x) (/.f64 1/4 (pow.f64 x 3))) (+.f64 (/.f64 1/16 (pow.f64 x 7)) (/.f64 -1/8 (pow.f64 x 5))))
(/.f64 1/2 x)
(-.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1/2 x) (/.f64 1/4 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (/.f64 -1/4 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 5)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/8 (pow.f64 x 5)) (/.f64 1/4 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 5))) (/.f64 -1/4 (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 1/2 x) (/.f64 1/4 (pow.f64 x 3))) (/.f64 1/8 (pow.f64 x 5)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 7))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 5))) (+.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 7))))
(+.f64 (/.f64 1/2 x) (-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 5)) (/.f64 -1/4 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 7))))
(+.f64 (/.f64 1/8 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 -1/16 (pow.f64 x 7))) (/.f64 -1/4 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 5)) (/.f64 1/4 (pow.f64 x 3))) (+.f64 (/.f64 1/2 x) (/.f64 -1/16 (pow.f64 x 7))))
(-.f64 (-.f64 (/.f64 1/2 x) (/.f64 1/4 (pow.f64 x 3))) (-.f64 (/.f64 1/16 (pow.f64 x 7)) (/.f64 1/8 (pow.f64 x 5))))
(-.f64 (-.f64 (/.f64 1/2 x) (/.f64 1/4 (pow.f64 x 3))) (+.f64 (/.f64 1/16 (pow.f64 x 7)) (/.f64 -1/8 (pow.f64 x 5))))

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))))
0.1b
(/.f64 1/2 (+.f64 x (/.f64 1/2 x)))
✓1.0b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))))
Compiler

Compiled 50 to 38 computations (24% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite69.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
987×prod-diff_binary64
516×log-prod_binary64
382×fma-def_binary64
206×expm1-udef_binary64
205×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01033
123533
2336333
Stop Event
1×node limit
Counts
2 → 72
Calls
Call 1
Inputs
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))))))) (cbrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.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 (+.f64 x (/.f64 1/2 x))))))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.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 (+.f64 x (/.f64 1/2 x))))))) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.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 (+.f64 x (/.f64 1/2 x))))))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))) 3/2)) (/.f64 1 (+.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.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 (+.f64 x (/.f64 1/2 x)))))) (-.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))) 3/2)) (+.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))) (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))) 3/2))) (neg.f64 (+.f64 (+.f64 1 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.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 (+.f64 x (/.f64 1/2 x)))))) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.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 (+.f64 x (/.f64 1/2 x)))))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))))))) (-.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.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 (+.f64 x (/.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 (+.f64 x (/.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 (+.f64 x (/.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 (+.f64 x (/.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 (+.f64 x (/.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 (+.f64 x (/.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 (+.f64 x (/.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 (+.f64 x (/.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 (+.f64 x (/.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 (+.f64 x (/.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 (+.f64 x (/.f64 1/2 x))))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))) (neg.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))) 1/4) (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))) 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))))) (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))))))) (cbrt.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))))) (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))) 1/4)) (pow.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))) 1/4) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.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 (+.f64 x (/.f64 1/2 x))))))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.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 (+.f64 x (/.f64 1/2 x)))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))))) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))) 1/4) (pow.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.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 (+.f64 x (/.f64 1/2 x)))) 2))) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.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 (+.f64 x (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))) 2)) 1/2) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 (+.f64 x (/.f64 1/2 x)) 3)))) (sqrt.f64 (fma.f64 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))) (-.f64 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))) 1/2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1/4 (/.f64 1/4 (pow.f64 (+.f64 x (/.f64 1/2 x)) 2)))) (sqrt.f64 (-.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.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 (+.f64 x (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.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 (+.f64 x (/.f64 1/2 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.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 (+.f64 x (/.f64 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.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 (+.f64 x (/.f64 1/2 x)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))) 1/4)) -1)))))

simplify45.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
644×times-frac_binary64
602×associate-/l*_binary64
548×associate-*l*_binary64
497×associate-*l/_binary64
388×associate-*r/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
073662
1250562
2883538
32788522
Stop Event
1×node limit
Counts
96 → 100
Calls
Call 1
Inputs
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 x (sqrt.f64 1/2)))) (sqrt.f64 1/2))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 1 (*.f64 -1/2 (/.f64 x (sqrt.f64 1/2))))) (sqrt.f64 1/2))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 2) (pow.f64 x 3)) (sqrt.f64 1/2))) (+.f64 1 (*.f64 -1/2 (/.f64 x (sqrt.f64 1/2)))))) (sqrt.f64 1/2))
(-.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 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 (*.f64 1/2 (/.f64 (-.f64 1/4 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4)))) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.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)))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 1/2 (/.f64 x (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 1/2)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 2) (pow.f64 x 3)) (sqrt.f64 1/2))) (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 1/2))))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.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 (+.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 1/4 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 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)))))
Outputs
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 x (sqrt.f64 1/2)))) (sqrt.f64 1/2))
(+.f64 1 (-.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(-.f64 (fma.f64 -1/2 (/.f64 x (sqrt.f64 1/2)) 1) (sqrt.f64 1/2))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 1 (*.f64 -1/2 (/.f64 x (sqrt.f64 1/2))))) (sqrt.f64 1/2))
(-.f64 (fma.f64 1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)) (+.f64 1 (*.f64 -1/2 (/.f64 x (sqrt.f64 1/2))))) (sqrt.f64 1/2))
(+.f64 (fma.f64 -1/2 (/.f64 x (sqrt.f64 1/2)) 1) (-.f64 (*.f64 1/4 (/.f64 (*.f64 x x) (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(-.f64 (fma.f64 -1/2 (/.f64 x (sqrt.f64 1/2)) (fma.f64 1/4 (/.f64 x (/.f64 (sqrt.f64 1/2) x)) 1)) (sqrt.f64 1/2))
(+.f64 (-.f64 1 (sqrt.f64 1/2)) (*.f64 (/.f64 x (sqrt.f64 1/2)) (+.f64 -1/2 (/.f64 x 4))))
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 2) (pow.f64 x 3)) (sqrt.f64 1/2))) (+.f64 1 (*.f64 -1/2 (/.f64 x (sqrt.f64 1/2)))))) (sqrt.f64 1/2))
(-.f64 (fma.f64 1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 (sqrt.f64 1/2) 4)) -2) (/.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (+.f64 1 (*.f64 -1/2 (/.f64 x (sqrt.f64 1/2)))))) (sqrt.f64 1/2))
(+.f64 (+.f64 (fma.f64 -1/2 (/.f64 x (sqrt.f64 1/2)) 1) (/.f64 (*.f64 3/4 (pow.f64 x 3)) (sqrt.f64 1/2))) (-.f64 (*.f64 1/4 (/.f64 (*.f64 x x) (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(+.f64 (-.f64 (fma.f64 -1/2 (/.f64 x (sqrt.f64 1/2)) 1) (sqrt.f64 1/2)) (fma.f64 1/4 (/.f64 x (/.f64 (sqrt.f64 1/2) x)) (*.f64 (/.f64 3/4 (sqrt.f64 1/2)) (pow.f64 x 3))))
(+.f64 (+.f64 (-.f64 1 (sqrt.f64 1/2)) (*.f64 (/.f64 x (sqrt.f64 1/2)) (+.f64 -1/2 (/.f64 x 4)))) (*.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 1/2)) 3/4))
(-.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 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 (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 (/.f64 -1/4 (sqrt.f64 1/2)) x) (sqrt.f64 1/2)))
(-.f64 (+.f64 1 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))
(+.f64 1 (-.f64 (/.f64 1/32 (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 (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 (/.f64 1/4 (sqrt.f64 1/2)) x)))
(-.f64 (-.f64 (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x))) (-.f64 (sqrt.f64 1/2) 1))
(+.f64 1 (+.f64 (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)) (-.f64 (/.f64 (/.f64 -1/4 (sqrt.f64 1/2)) x) (sqrt.f64 1/2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))))) (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 (+.f64 1 (/.f64 1/32 (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)))) (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 4)) -1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))))) (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x))))
(+.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 1 (+.f64 (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)) (+.f64 (-.f64 (/.f64 3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (sqrt.f64 1/2)) (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)))))
(+.f64 (+.f64 1 (+.f64 (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)) (-.f64 (/.f64 (/.f64 -1/4 (sqrt.f64 1/2)) x) (sqrt.f64 1/2)))) (/.f64 3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))))
(-.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 (sqrt.f64 1/2) x)))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 (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 (/.f64 -1/4 (sqrt.f64 1/2)) x) (sqrt.f64 1/2)))
(-.f64 (+.f64 1 (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))
(+.f64 1 (-.f64 (/.f64 1/32 (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 (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 (/.f64 1/4 (sqrt.f64 1/2)) x)))
(-.f64 (-.f64 (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x))) (-.f64 (sqrt.f64 1/2) 1))
(+.f64 1 (+.f64 (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)) (-.f64 (/.f64 (/.f64 -1/4 (sqrt.f64 1/2)) x) (sqrt.f64 1/2))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 1/4 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4)))) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.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 (+.f64 1 (/.f64 1/32 (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)))) (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 4)) -1/4) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))))) (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x))))
(+.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 1 (+.f64 (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)) (+.f64 (-.f64 (/.f64 3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (sqrt.f64 1/2)) (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)))))
(+.f64 (+.f64 1 (+.f64 (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x)) (-.f64 (/.f64 (/.f64 -1/4 (sqrt.f64 1/2)) x) (sqrt.f64 1/2)))) (/.f64 3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 1/2 (/.f64 x (sqrt.f64 1/2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)) (*.f64 1/2 (/.f64 x (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (fma.f64 1/2 (/.f64 x (sqrt.f64 1/2)) (*.f64 -1/4 (/.f64 (*.f64 x x) (sqrt.f64 1/2)))))
(fma.f64 -1/4 (/.f64 x (/.f64 (sqrt.f64 1/2) x)) (fma.f64 1/2 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(+.f64 (sqrt.f64 1/2) (*.f64 (/.f64 x (sqrt.f64 1/2)) (+.f64 1/2 (/.f64 x -4))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 2) (pow.f64 x 3)) (sqrt.f64 1/2))) (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 1/2 (/.f64 x (sqrt.f64 1/2))))))
(fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 (sqrt.f64 1/2) 4)) -2) (/.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (+.f64 (sqrt.f64 1/2) (fma.f64 -1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)) (*.f64 1/2 (/.f64 x (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (+.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 1/2)) (*.f64 -1/4 (/.f64 (*.f64 x x) (sqrt.f64 1/2)))) (/.f64 (*.f64 -3/4 (pow.f64 x 3)) (sqrt.f64 1/2))))
(+.f64 (fma.f64 -1/4 (/.f64 x (/.f64 (sqrt.f64 1/2) x)) (fma.f64 1/2 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) (*.f64 (/.f64 -3/4 (sqrt.f64 1/2)) (pow.f64 x 3)))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 (/.f64 x (sqrt.f64 1/2)) (+.f64 1/2 (/.f64 x -4))) (*.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 1/2)) -3/4)))
(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 (/.f64 1/4 (sqrt.f64 1/2)) x))
(-.f64 (sqrt.f64 1/2) (/.f64 (/.f64 -1/4 (sqrt.f64 1/2)) x))
(-.f64 (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(+.f64 (sqrt.f64 1/2) (-.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (/.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 1/2 (*.f64 (sqrt.f64 1/2) (*.f64 x x))))))
(+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 -1/16 (*.f64 (sqrt.f64 1/2) (*.f64 x x)))))
(+.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 (*.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 (sqrt.f64 1/2) x)))) (/.f64 1/32 (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3))))
(+.f64 (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x)) (-.f64 (/.f64 -3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (*.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 -1/16 (*.f64 (sqrt.f64 1/2) (*.f64 x x)))) (/.f64 -3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))))
(+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (+.f64 (-.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x))) (/.f64 -3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))))
(sqrt.f64 1/2)
(+.f64 (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 (/.f64 1/4 (sqrt.f64 1/2)) x))
(-.f64 (sqrt.f64 1/2) (/.f64 (/.f64 -1/4 (sqrt.f64 1/2)) x))
(-.f64 (+.f64 (sqrt.f64 1/2) (*.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))) (*.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(+.f64 (sqrt.f64 1/2) (-.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (/.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 1/2 (*.f64 (sqrt.f64 1/2) (*.f64 x x))))))
(+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 -1/16 (*.f64 (sqrt.f64 1/2) (*.f64 x x)))))
(+.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 (*.f64 -1/2 (/.f64 (-.f64 1/4 (*.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 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 (sqrt.f64 1/2) x)))) (/.f64 1/32 (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3))))
(+.f64 (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 (sqrt.f64 1/2)) x)) (-.f64 (/.f64 -3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (*.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (/.f64 -1/16 (*.f64 (sqrt.f64 1/2) (*.f64 x x)))) (/.f64 -3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))))
(+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (+.f64 (-.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (*.f64 x x))) (/.f64 -3/32 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))))

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 11/2 (fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x))))
✓0.1b
(fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x)))
✓0.6b
(/.f64 8 (*.f64 x x))
✓1.1b
(pow.f64 (+.f64 11/2 (fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x)))) -1)
Compiler

Compiled 53 to 31 computations (41.5% saved)

series6.0ms (0%)

Counts
4 → 48
Calls

12 calls:

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

rewrite86.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
502×log-prod_binary64
312×pow2_binary64
289×pow-prod-down_binary64
216×expm1-udef_binary64
216×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01258
126458
2316054
Stop Event
1×node limit
Counts
4 → 151
Calls
Call 1
Inputs
(pow.f64 (+.f64 11/2 (fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x)))) -1)
(/.f64 8 (*.f64 x x))
(fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x)))
(+.f64 11/2 (fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 x (*.f64 x -17/32) 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pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 x x) -17/32 (/.f64 (/.f64 8 x) x)) (-.f64 (fma.f64 (*.f64 x x) -17/32 (/.f64 (/.f64 8 x) x)) 11/2) 121/4) (+.f64 1331/8 (pow.f64 (fma.f64 (*.f64 x x) -17/32 (/.f64 (/.f64 8 x) x)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 11/2 (fma.f64 (*.f64 x x) -17/32 (/.f64 (/.f64 8 x) x))) (-.f64 121/4 (pow.f64 (fma.f64 (*.f64 x x) -17/32 (/.f64 (/.f64 8 x) x)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x -17/32) (fma.f64 8 (pow.f64 x -2) 11/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -17/32) x (fma.f64 8 (pow.f64 x -2) 11/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) -17/32 (fma.f64 8 (pow.f64 x -2) 11/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (*.f64 x x) -17/32 (/.f64 (/.f64 8 x) x)) 1 11/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (*.f64 x x) -17/32 (/.f64 (/.f64 8 x) x)) 11/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x -17/32)) (fma.f64 8 (pow.f64 x -2) 11/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 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((x fma.f64 (sqrt.f64 (*.f64 x (*.f64 x -17/32))) (sqrt.f64 (*.f64 x (*.f64 x -17/32))) (fma.f64 8 (pow.f64 x -2) 11/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x -17/32)) 2)) (cbrt.f64 (*.f64 x -17/32)) (fma.f64 8 (pow.f64 x -2) 11/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -17/32))) (sqrt.f64 (*.f64 x -17/32)) (fma.f64 8 (pow.f64 x -2) 11/2))))))

simplify109.0ms (0.9%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
056660
1140614
2360614
31147614
44855614
Stop Event
1×node limit
Counts
199 → 180
Calls
Call 1
Inputs
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 -1705/32768 (pow.f64 x 8)))))
(/.f64 -32/17 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 5632/289 (/.f64 1 (pow.f64 x 4))) (*.f64 32/17 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 32/17 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1130496/4913 (/.f64 1 (pow.f64 x 6))) (*.f64 5632/289 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (*.f64 223477760/83521 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 32/17 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1130496/4913 (/.f64 1 (pow.f64 x 6))) (*.f64 5632/289 (/.f64 1 (pow.f64 x 4)))))))
(/.f64 -32/17 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 5632/289 (/.f64 1 (pow.f64 x 4))) (*.f64 32/17 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 32/17 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1130496/4913 (/.f64 1 (pow.f64 x 6))) (*.f64 5632/289 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (*.f64 223477760/83521 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 32/17 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1130496/4913 (/.f64 1 (pow.f64 x 6))) (*.f64 5632/289 (/.f64 1 (pow.f64 x 4)))))))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(*.f64 -17/32 (pow.f64 x 2))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(*.f64 -17/32 (pow.f64 x 2))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(/.f64 8 (pow.f64 x 2))
(+.f64 11/2 (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(+.f64 11/2 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2))))
(+.f64 11/2 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2))))
(*.f64 -17/32 (pow.f64 x 2))
(+.f64 11/2 (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (+.f64 11/2 (*.f64 -17/32 (pow.f64 x 2))))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (+.f64 11/2 (*.f64 -17/32 (pow.f64 x 2))))
(*.f64 -17/32 (pow.f64 x 2))
(+.f64 11/2 (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (+.f64 11/2 (*.f64 -17/32 (pow.f64 x 2))))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (+.f64 11/2 (*.f64 -17/32 (pow.f64 x 2))))
Outputs
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4)))
(fma.f64 1/8 (*.f64 x x) (*.f64 -11/128 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -11/128) 1/8))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -11/128 1/8))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -11/128 (pow.f64 x 4))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -11/128 (pow.f64 x 4) (*.f64 69/1024 (pow.f64 x 6))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -11/128 1/8) (*.f64 69/1024 (pow.f64 x 6)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (+.f64 (*.f64 -11/128 (pow.f64 x 4)) (*.f64 -1705/32768 (pow.f64 x 8)))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 69/1024 (pow.f64 x 6) (fma.f64 -11/128 (pow.f64 x 4) (*.f64 -1705/32768 (pow.f64 x 8)))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -11/128 (pow.f64 x 4) (fma.f64 69/1024 (pow.f64 x 6) (*.f64 -1705/32768 (pow.f64 x 8)))))
(fma.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) -1705/32768 -11/128) (fma.f64 69/1024 (pow.f64 x 6) (*.f64 1/8 (*.f64 x x))))
(/.f64 -32/17 (pow.f64 x 2))
(/.f64 -32/17 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 5632/289 (/.f64 1 (pow.f64 x 4))) (*.f64 32/17 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 5632/289 (pow.f64 x 4)) (/.f64 32/17 (*.f64 x x))))
(-.f64 (/.f64 -5632/289 (pow.f64 x 4)) (/.f64 32/17 (*.f64 x x)))
(-.f64 (/.f64 -32/17 (*.f64 x x)) (/.f64 5632/289 (pow.f64 x 4)))
(+.f64 (/.f64 -32/17 (*.f64 x x)) (/.f64 -5632/289 (pow.f64 x 4)))
(neg.f64 (+.f64 (*.f64 32/17 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1130496/4913 (/.f64 1 (pow.f64 x 6))) (*.f64 5632/289 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (/.f64 32/17 (*.f64 x x)) (+.f64 (/.f64 5632/289 (pow.f64 x 4)) (/.f64 1130496/4913 (pow.f64 x 6)))))
(-.f64 (/.f64 -32/17 (*.f64 x x)) (+.f64 (/.f64 5632/289 (pow.f64 x 4)) (/.f64 1130496/4913 (pow.f64 x 6))))
(-.f64 (/.f64 -1130496/4913 (pow.f64 x 6)) (+.f64 (/.f64 5632/289 (pow.f64 x 4)) (/.f64 32/17 (*.f64 x x))))
(+.f64 (/.f64 -32/17 (*.f64 x x)) (+.f64 (/.f64 -5632/289 (pow.f64 x 4)) (/.f64 -1130496/4913 (pow.f64 x 6))))
(-.f64 (/.f64 -5632/289 (pow.f64 x 4)) (-.f64 (/.f64 32/17 (*.f64 x x)) (/.f64 -1130496/4913 (pow.f64 x 6))))
(neg.f64 (+.f64 (*.f64 223477760/83521 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 32/17 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1130496/4913 (/.f64 1 (pow.f64 x 6))) (*.f64 5632/289 (/.f64 1 (pow.f64 x 4)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 32/17 (*.f64 x x)) (+.f64 (/.f64 5632/289 (pow.f64 x 4)) (/.f64 1130496/4913 (pow.f64 x 6)))) (/.f64 223477760/83521 (pow.f64 x 8))))
(-.f64 (/.f64 -223477760/83521 (pow.f64 x 8)) (+.f64 (+.f64 (/.f64 5632/289 (pow.f64 x 4)) (/.f64 32/17 (*.f64 x x))) (/.f64 1130496/4913 (pow.f64 x 6))))
(+.f64 (-.f64 (/.f64 -1130496/4913 (pow.f64 x 6)) (+.f64 (/.f64 5632/289 (pow.f64 x 4)) (/.f64 32/17 (*.f64 x x)))) (/.f64 -223477760/83521 (pow.f64 x 8)))
(+.f64 (/.f64 -5632/289 (pow.f64 x 4)) (+.f64 (/.f64 -32/17 (*.f64 x x)) (+.f64 (/.f64 -223477760/83521 (pow.f64 x 8)) (/.f64 -1130496/4913 (pow.f64 x 6)))))
(+.f64 (+.f64 (/.f64 -32/17 (*.f64 x x)) (/.f64 -5632/289 (pow.f64 x 4))) (+.f64 (/.f64 -223477760/83521 (pow.f64 x 8)) (/.f64 -1130496/4913 (pow.f64 x 6))))
(/.f64 -32/17 (pow.f64 x 2))
(/.f64 -32/17 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 5632/289 (/.f64 1 (pow.f64 x 4))) (*.f64 32/17 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 5632/289 (pow.f64 x 4)) (/.f64 32/17 (*.f64 x x))))
(-.f64 (/.f64 -5632/289 (pow.f64 x 4)) (/.f64 32/17 (*.f64 x x)))
(-.f64 (/.f64 -32/17 (*.f64 x x)) (/.f64 5632/289 (pow.f64 x 4)))
(+.f64 (/.f64 -32/17 (*.f64 x x)) (/.f64 -5632/289 (pow.f64 x 4)))
(neg.f64 (+.f64 (*.f64 32/17 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1130496/4913 (/.f64 1 (pow.f64 x 6))) (*.f64 5632/289 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (+.f64 (/.f64 32/17 (*.f64 x x)) (+.f64 (/.f64 5632/289 (pow.f64 x 4)) (/.f64 1130496/4913 (pow.f64 x 6)))))
(-.f64 (/.f64 -32/17 (*.f64 x x)) (+.f64 (/.f64 5632/289 (pow.f64 x 4)) (/.f64 1130496/4913 (pow.f64 x 6))))
(-.f64 (/.f64 -1130496/4913 (pow.f64 x 6)) (+.f64 (/.f64 5632/289 (pow.f64 x 4)) (/.f64 32/17 (*.f64 x x))))
(+.f64 (/.f64 -32/17 (*.f64 x x)) (+.f64 (/.f64 -5632/289 (pow.f64 x 4)) (/.f64 -1130496/4913 (pow.f64 x 6))))
(-.f64 (/.f64 -5632/289 (pow.f64 x 4)) (-.f64 (/.f64 32/17 (*.f64 x x)) (/.f64 -1130496/4913 (pow.f64 x 6))))
(neg.f64 (+.f64 (*.f64 223477760/83521 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 32/17 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1130496/4913 (/.f64 1 (pow.f64 x 6))) (*.f64 5632/289 (/.f64 1 (pow.f64 x 4)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 32/17 (*.f64 x x)) (+.f64 (/.f64 5632/289 (pow.f64 x 4)) (/.f64 1130496/4913 (pow.f64 x 6)))) (/.f64 223477760/83521 (pow.f64 x 8))))
(-.f64 (/.f64 -223477760/83521 (pow.f64 x 8)) (+.f64 (+.f64 (/.f64 5632/289 (pow.f64 x 4)) (/.f64 32/17 (*.f64 x x))) (/.f64 1130496/4913 (pow.f64 x 6))))
(+.f64 (-.f64 (/.f64 -1130496/4913 (pow.f64 x 6)) (+.f64 (/.f64 5632/289 (pow.f64 x 4)) (/.f64 32/17 (*.f64 x x)))) (/.f64 -223477760/83521 (pow.f64 x 8)))
(+.f64 (/.f64 -5632/289 (pow.f64 x 4)) (+.f64 (/.f64 -32/17 (*.f64 x x)) (+.f64 (/.f64 -223477760/83521 (pow.f64 x 8)) (/.f64 -1130496/4913 (pow.f64 x 6)))))
(+.f64 (+.f64 (/.f64 -32/17 (*.f64 x x)) (/.f64 -5632/289 (pow.f64 x 4))) (+.f64 (/.f64 -223477760/83521 (pow.f64 x 8)) (/.f64 -1130496/4913 (pow.f64 x 6))))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (/.f64 8 (*.f64 x x)) (*.f64 (*.f64 x x) -17/32))
(fma.f64 (*.f64 x x) -17/32 (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x)))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (/.f64 8 (*.f64 x x)) (*.f64 (*.f64 x x) -17/32))
(fma.f64 (*.f64 x x) -17/32 (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x)))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (/.f64 8 (*.f64 x x)) (*.f64 (*.f64 x x) -17/32))
(fma.f64 (*.f64 x x) -17/32 (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x)))
(*.f64 -17/32 (pow.f64 x 2))
(*.f64 (*.f64 x x) -17/32)
(*.f64 x (*.f64 x -17/32))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (/.f64 8 (*.f64 x x)) (*.f64 (*.f64 x x) -17/32))
(fma.f64 (*.f64 x x) -17/32 (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x)))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (/.f64 8 (*.f64 x x)) (*.f64 (*.f64 x x) -17/32))
(fma.f64 (*.f64 x x) -17/32 (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x)))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (/.f64 8 (*.f64 x x)) (*.f64 (*.f64 x x) -17/32))
(fma.f64 (*.f64 x x) -17/32 (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x)))
(*.f64 -17/32 (pow.f64 x 2))
(*.f64 (*.f64 x x) -17/32)
(*.f64 x (*.f64 x -17/32))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (/.f64 8 (*.f64 x x)) (*.f64 (*.f64 x x) -17/32))
(fma.f64 (*.f64 x x) -17/32 (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x)))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (/.f64 8 (*.f64 x x)) (*.f64 (*.f64 x x) -17/32))
(fma.f64 (*.f64 x x) -17/32 (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x)))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (/.f64 8 (*.f64 x x)) (*.f64 (*.f64 x x) -17/32))
(fma.f64 (*.f64 x x) -17/32 (/.f64 8 (*.f64 x x)))
(fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x)))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(+.f64 11/2 (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 8 (*.f64 x x)) 11/2)
(+.f64 11/2 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2))))
(+.f64 (/.f64 8 (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) -17/32) 11/2))
(+.f64 (/.f64 8 (*.f64 x x)) (fma.f64 (*.f64 x x) -17/32 11/2))
(+.f64 (/.f64 8 (*.f64 x x)) (fma.f64 x (*.f64 x -17/32) 11/2))
(+.f64 11/2 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (*.f64 -17/32 (pow.f64 x 2))))
(+.f64 (/.f64 8 (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) -17/32) 11/2))
(+.f64 (/.f64 8 (*.f64 x x)) (fma.f64 (*.f64 x x) -17/32 11/2))
(+.f64 (/.f64 8 (*.f64 x x)) (fma.f64 x (*.f64 x -17/32) 11/2))
(*.f64 -17/32 (pow.f64 x 2))
(*.f64 (*.f64 x x) -17/32)
(*.f64 x (*.f64 x -17/32))
(+.f64 11/2 (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (*.f64 (*.f64 x x) -17/32) 11/2)
(fma.f64 (*.f64 x x) -17/32 11/2)
(fma.f64 x (*.f64 x -17/32) 11/2)
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (+.f64 11/2 (*.f64 -17/32 (pow.f64 x 2))))
(+.f64 (/.f64 8 (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) -17/32) 11/2))
(+.f64 (/.f64 8 (*.f64 x x)) (fma.f64 (*.f64 x x) -17/32 11/2))
(+.f64 (/.f64 8 (*.f64 x x)) (fma.f64 x (*.f64 x -17/32) 11/2))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (+.f64 11/2 (*.f64 -17/32 (pow.f64 x 2))))
(+.f64 (/.f64 8 (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) -17/32) 11/2))
(+.f64 (/.f64 8 (*.f64 x x)) (fma.f64 (*.f64 x x) -17/32 11/2))
(+.f64 (/.f64 8 (*.f64 x x)) (fma.f64 x (*.f64 x -17/32) 11/2))
(*.f64 -17/32 (pow.f64 x 2))
(*.f64 (*.f64 x x) -17/32)
(*.f64 x (*.f64 x -17/32))
(+.f64 11/2 (*.f64 -17/32 (pow.f64 x 2)))
(+.f64 (*.f64 (*.f64 x x) -17/32) 11/2)
(fma.f64 (*.f64 x x) -17/32 11/2)
(fma.f64 x (*.f64 x -17/32) 11/2)
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (+.f64 11/2 (*.f64 -17/32 (pow.f64 x 2))))
(+.f64 (/.f64 8 (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) -17/32) 11/2))
(+.f64 (/.f64 8 (*.f64 x x)) (fma.f64 (*.f64 x x) -17/32 11/2))
(+.f64 (/.f64 8 (*.f64 x x)) (fma.f64 x (*.f64 x -17/32) 11/2))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) (+.f64 11/2 (*.f64 -17/32 (pow.f64 x 2))))
(+.f64 (/.f64 8 (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) -17/32) 11/2))
(+.f64 (/.f64 8 (*.f64 x x)) (fma.f64 (*.f64 x x) -17/32 11/2))
(+.f64 (/.f64 8 (*.f64 x x)) (fma.f64 x (*.f64 x -17/32) 11/2))

eval770.0ms (6.6%)

Compiler

Compiled 13035 to 11162 computations (14.4% saved)

prune125.0ms (1.1%)

Pruning

22 alts after pruning (10 fresh and 12 done)

PrunedKeptTotal
New5986604
Fresh448
Picked101
Done01212
Total60322625
Error
0b
Counts
625 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
33.8b
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
✓33.6b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
✓55.5b
(/.f64 (-.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))) (+.f64 1 1))
32.3b
(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))))) 1))
✓32.9b
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
32.2b
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
56.0b
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 1))
31.1b
(/.f64 1 (+.f64 11/2 (fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x)))))
✓47.3b
(-.f64 1 1)
31.1b
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -11/128 1/8) (*.f64 69/1024 (pow.f64 x 6)))
56.5b
(/.f64 (-.f64 1/2 (+.f64 (/.f64 1/2 x) (/.f64 -1/4 (pow.f64 x 3)))) (+.f64 1 1))
✓55.5b
(/.f64 1/2 (+.f64 1 1))
✓33.4b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
56.5b
(/.f64 (-.f64 (+.f64 1/2 (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x))) (+.f64 1 1))
✓30.7b
(*.f64 x (*.f64 x 1/8))
✓17.1b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
56.1b
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 1))
✓16.6b
(/.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))))))
25.9b
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
✓17.1b
(/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
✓32.7b
(-.f64 1 (sqrt.f64 1/2))
✓32.3b
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))))
Compiler

Compiled 258 to 223 computations (13.6% saved)

regimes332.0ms (2.8%)

Counts
36 → 2
Calls
Call 1
Inputs
(-.f64 1 1)
(/.f64 1/2 (+.f64 1 1))
(*.f64 x (*.f64 x 1/8))
(*.f64 1/8 (*.f64 x x))
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 1))
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 1))
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 1))
(/.f64 (-.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))) (+.f64 1 1))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(/.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))))
(pow.f64 (+.f64 11/2 (/.f64 8 (*.f64 x x))) -1)
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 1))
(+.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 -11/128 (pow.f64 x 4)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))))
(/.f64 1 (+.f64 11/2 (fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x)))))
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (-.f64 1/2 (+.f64 (/.f64 1/2 x) (/.f64 -1/4 (pow.f64 x 3)))) (+.f64 1 1))
(/.f64 (+.f64 (+.f64 1/2 (/.f64 -1/2 x)) (/.f64 1/4 (pow.f64 x 3))) (+.f64 1 1))
(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))))) 1))
(/.f64 (-.f64 (+.f64 1/2 (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x))) (+.f64 1 1))
(*.f64 x (fma.f64 1/8 x (*.f64 -11/128 (pow.f64 x 3))))
(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 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(pow.f64 (+.f64 11/2 (fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x)))) -1)
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(pow.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) -1)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -11/128 1/8) (*.f64 69/1024 (pow.f64 x 6)))
(+.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)))))))
Outputs
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -11/128 1/8) (*.f64 69/1024 (pow.f64 x 6)))
(/.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:

137.0ms
x
29.0ms
(/.f64 1 (hypot.f64 1 x))
28.0ms
(/.f64 1 (hypot.f64 1 x))
19.0ms
(hypot.f64 1 x)
14.0ms
(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 498 to 417 computations (16.3% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.000000855308678
1.175591288166962
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes247.0ms (2.1%)

Counts
34 → 2
Calls
Call 1
Inputs
(-.f64 1 1)
(/.f64 1/2 (+.f64 1 1))
(*.f64 x (*.f64 x 1/8))
(*.f64 1/8 (*.f64 x x))
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 1))
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 1))
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 1))
(/.f64 (-.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))) (+.f64 1 1))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(/.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))))
(pow.f64 (+.f64 11/2 (/.f64 8 (*.f64 x x))) -1)
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 1))
(+.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 -11/128 (pow.f64 x 4)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))))
(/.f64 1 (+.f64 11/2 (fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x)))))
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (-.f64 1/2 (+.f64 (/.f64 1/2 x) (/.f64 -1/4 (pow.f64 x 3)))) (+.f64 1 1))
(/.f64 (+.f64 (+.f64 1/2 (/.f64 -1/2 x)) (/.f64 1/4 (pow.f64 x 3))) (+.f64 1 1))
(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))))) 1))
(/.f64 (-.f64 (+.f64 1/2 (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x))) (+.f64 1 1))
(*.f64 x (fma.f64 1/8 x (*.f64 -11/128 (pow.f64 x 3))))
(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 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(pow.f64 (+.f64 11/2 (fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x)))) -1)
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(pow.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) -1)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -11/128 1/8) (*.f64 69/1024 (pow.f64 x 6)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
Outputs
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -11/128 1/8) (*.f64 69/1024 (pow.f64 x 6)))
(/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
Calls

13 calls:

45.0ms
x
29.0ms
(/.f64 1 (hypot.f64 1 x))
28.0ms
(/.f64 1 (hypot.f64 1 x))
22.0ms
(hypot.f64 1 x)
17.0ms
(hypot.f64 1 x)
Results
ErrorSegmentsBranch
0.5b3x
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 468 to 390 computations (16.7% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.000000855308678
1.175591288166962
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes353.0ms (3%)

Counts
32 → 2
Calls
Call 1
Inputs
(-.f64 1 1)
(/.f64 1/2 (+.f64 1 1))
(*.f64 x (*.f64 x 1/8))
(*.f64 1/8 (*.f64 x x))
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 1))
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 1))
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 1))
(/.f64 (-.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))) (+.f64 1 1))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(/.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))))
(pow.f64 (+.f64 11/2 (/.f64 8 (*.f64 x x))) -1)
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 1))
(+.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 -11/128 (pow.f64 x 4)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))))
(/.f64 1 (+.f64 11/2 (fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x)))))
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (-.f64 1/2 (+.f64 (/.f64 1/2 x) (/.f64 -1/4 (pow.f64 x 3)))) (+.f64 1 1))
(/.f64 (+.f64 (+.f64 1/2 (/.f64 -1/2 x)) (/.f64 1/4 (pow.f64 x 3))) (+.f64 1 1))
(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))))) 1))
(/.f64 (-.f64 (+.f64 1/2 (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x))) (+.f64 1 1))
(*.f64 x (fma.f64 1/8 x (*.f64 -11/128 (pow.f64 x 3))))
(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 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(pow.f64 (+.f64 11/2 (fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x)))) -1)
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(pow.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) -1)
Outputs
(*.f64 x (fma.f64 1/8 x (*.f64 -11/128 (pow.f64 x 3))))
(/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
Calls

13 calls:

140.0ms
(/.f64 1 (hypot.f64 1 x))
67.0ms
(/.f64 1 (hypot.f64 1 x))
44.0ms
x
11.0ms
(hypot.f64 1 x)
11.0ms
(hypot.f64 1 x)
Results
ErrorSegmentsBranch
0.5b3x
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 436 to 368 computations (15.6% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.000000855308678
1.175591288166962
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes209.0ms (1.8%)

Counts
28 → 2
Calls
Call 1
Inputs
(-.f64 1 1)
(/.f64 1/2 (+.f64 1 1))
(*.f64 x (*.f64 x 1/8))
(*.f64 1/8 (*.f64 x x))
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 1))
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 1))
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 1))
(/.f64 (-.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))) (+.f64 1 1))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(/.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))))
(pow.f64 (+.f64 11/2 (/.f64 8 (*.f64 x x))) -1)
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 1))
(+.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 -11/128 (pow.f64 x 4)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))))
(/.f64 1 (+.f64 11/2 (fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x)))))
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (-.f64 1/2 (+.f64 (/.f64 1/2 x) (/.f64 -1/4 (pow.f64 x 3)))) (+.f64 1 1))
(/.f64 (+.f64 (+.f64 1/2 (/.f64 -1/2 x)) (/.f64 1/4 (pow.f64 x 3))) (+.f64 1 1))
(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))))) 1))
(/.f64 (-.f64 (+.f64 1/2 (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x))) (+.f64 1 1))
(*.f64 x (fma.f64 1/8 x (*.f64 -11/128 (pow.f64 x 3))))
(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))))))
Outputs
(*.f64 x (fma.f64 1/8 x (*.f64 -11/128 (pow.f64 x 3))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
Calls

13 calls:

36.0ms
(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
36.0ms
x
26.0ms
(/.f64 1 (hypot.f64 1 x))
21.0ms
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
21.0ms
(/.f64 1 (hypot.f64 1 x))
Results
ErrorSegmentsBranch
0.5b3x
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 384 to 324 computations (15.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.000000855308678
1.175591288166962
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes104.0ms (0.9%)

Counts
26 → 3
Calls
Call 1
Inputs
(-.f64 1 1)
(/.f64 1/2 (+.f64 1 1))
(*.f64 x (*.f64 x 1/8))
(*.f64 1/8 (*.f64 x x))
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 1))
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 1))
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 1))
(/.f64 (-.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))) (+.f64 1 1))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(/.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))))
(pow.f64 (+.f64 11/2 (/.f64 8 (*.f64 x x))) -1)
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 1))
(+.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 -11/128 (pow.f64 x 4)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))))
(/.f64 1 (+.f64 11/2 (fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x)))))
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (-.f64 1/2 (+.f64 (/.f64 1/2 x) (/.f64 -1/4 (pow.f64 x 3)))) (+.f64 1 1))
(/.f64 (+.f64 (+.f64 1/2 (/.f64 -1/2 x)) (/.f64 1/4 (pow.f64 x 3))) (+.f64 1 1))
(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))))) 1))
(/.f64 (-.f64 (+.f64 1/2 (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x))) (+.f64 1 1))
(*.f64 x (fma.f64 1/8 x (*.f64 -11/128 (pow.f64 x 3))))
(fma.f64 -11/128 (pow.f64 x 4) (*.f64 1/8 (*.f64 x x)))
Outputs
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(*.f64 x (fma.f64 1/8 x (*.f64 -11/128 (pow.f64 x 3))))
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
Calls

3 calls:

73.0ms
x
12.0ms
(hypot.f64 1 x)
10.0ms
(hypot.f64 1 x)
Results
ErrorSegmentsBranch
0.8b3x
0.9b2(hypot.f64 1 x)
0.9b2(hypot.f64 1 x)
Compiler

Compiled 266 to 218 computations (18% saved)

bsearch43.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
0.6180735205572689
1.5419197210007654
22.0ms
-2825946.7282828824
-0.0013079059934821581
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes124.0ms (1.1%)

Counts
24 → 3
Calls
Call 1
Inputs
(-.f64 1 1)
(/.f64 1/2 (+.f64 1 1))
(*.f64 x (*.f64 x 1/8))
(*.f64 1/8 (*.f64 x x))
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 1))
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 1))
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 1))
(/.f64 (-.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))) (+.f64 1 1))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(/.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))))
(pow.f64 (+.f64 11/2 (/.f64 8 (*.f64 x x))) -1)
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 1))
(+.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 -11/128 (pow.f64 x 4)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))))
(/.f64 1 (+.f64 11/2 (fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x)))))
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (-.f64 1/2 (+.f64 (/.f64 1/2 x) (/.f64 -1/4 (pow.f64 x 3)))) (+.f64 1 1))
(/.f64 (+.f64 (+.f64 1/2 (/.f64 -1/2 x)) (/.f64 1/4 (pow.f64 x 3))) (+.f64 1 1))
(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))))) 1))
(/.f64 (-.f64 (+.f64 1/2 (*.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 x))) (+.f64 1 1))
Outputs
(-.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

3 calls:

73.0ms
(hypot.f64 1 x)
34.0ms
x
10.0ms
(hypot.f64 1 x)
Results
ErrorSegmentsBranch
0.8b3x
0.9b2(hypot.f64 1 x)
0.9b2(hypot.f64 1 x)
Compiler

Compiled 246 to 205 computations (16.7% saved)

bsearch46.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
24.0ms
0.6180735205572689
1.5419197210007654
21.0ms
-2825946.7282828824
-0.0013079059934821581
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes56.0ms (0.5%)

Counts
19 → 3
Calls
Call 1
Inputs
(-.f64 1 1)
(/.f64 1/2 (+.f64 1 1))
(*.f64 x (*.f64 x 1/8))
(*.f64 1/8 (*.f64 x x))
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 1))
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 1))
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 1))
(/.f64 (-.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))) (+.f64 1 1))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(/.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))))
(pow.f64 (+.f64 11/2 (/.f64 8 (*.f64 x x))) -1)
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 1))
(+.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 -11/128 (pow.f64 x 4)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))))
(/.f64 1 (+.f64 11/2 (fma.f64 x (*.f64 x -17/32) (/.f64 8 (*.f64 x x)))))
Outputs
(-.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 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))))
Calls

3 calls:

33.0ms
x
10.0ms
(hypot.f64 1 x)
8.0ms
(hypot.f64 1 x)
Results
ErrorSegmentsBranch
0.9b3x
1.1b2(hypot.f64 1 x)
1.1b2(hypot.f64 1 x)
Compiler

Compiled 167 to 136 computations (18.6% saved)

bsearch47.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
22.0ms
0.6180735205572689
1.5419197210007654
24.0ms
-2825946.7282828824
-0.0013079059934821581
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes92.0ms (0.8%)

Counts
17 → 3
Calls
Call 1
Inputs
(-.f64 1 1)
(/.f64 1/2 (+.f64 1 1))
(*.f64 x (*.f64 x 1/8))
(*.f64 1/8 (*.f64 x x))
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 1))
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 1))
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 1))
(/.f64 (-.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))) (+.f64 1 1))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(/.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))))
(pow.f64 (+.f64 11/2 (/.f64 8 (*.f64 x x))) -1)
(/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 1))
(+.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 -11/128 (pow.f64 x 4)))
Outputs
(-.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 1/2 (+.f64 (sqrt.f64 1/2) 1))
Calls

3 calls:

50.0ms
(hypot.f64 1 x)
30.0ms
x
7.0ms
(hypot.f64 1 x)
Results
ErrorSegmentsBranch
1.1b3x
1.1b2(hypot.f64 1 x)
1.1b2(hypot.f64 1 x)
Compiler

Compiled 141 to 117 computations (17% saved)

bsearch42.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
0.6180735205572689
1.5419197210007654
21.0ms
-2825946.7282828824
-0.0013079059934821581
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes79.0ms (0.7%)

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

3 calls:

45.0ms
(hypot.f64 1 x)
22.0ms
x
7.0ms
(hypot.f64 1 x)
Results
ErrorSegmentsBranch
1.2b3x
1.2b2(hypot.f64 1 x)
1.2b2(hypot.f64 1 x)
Compiler

Compiled 130 to 109 computations (16.2% saved)

bsearch185.0ms (1.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
161.0ms
0.6180735205572689
1.5419197210007654
24.0ms
-2825946.7282828824
-0.0013079059934821581
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes24.0ms (0.2%)

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

1 calls:

21.0ms
x
Results
ErrorSegmentsBranch
1.2b3x
Compiler

Compiled 94 to 80 computations (14.9% saved)

bsearch46.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
23.0ms
0.6180735205572689
1.5419197210007654
23.0ms
-2825946.7282828824
-0.0013079059934821581
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes21.0ms (0.2%)

Counts
10 → 3
Calls
Call 1
Inputs
(-.f64 1 1)
(/.f64 1/2 (+.f64 1 1))
(*.f64 x (*.f64 x 1/8))
(*.f64 1/8 (*.f64 x x))
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 1))
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 1))
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 1))
(/.f64 (-.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))) (+.f64 1 1))
(-.f64 1 (sqrt.f64 1/2))
Outputs
(-.f64 1 (sqrt.f64 1/2))
(*.f64 x (*.f64 x 1/8))
(-.f64 1 (sqrt.f64 1/2))
Calls

1 calls:

18.0ms
x
Results
ErrorSegmentsBranch
1.6b3x
Compiler

Compiled 74 to 61 computations (17.6% saved)

bsearch44.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
22.0ms
0.6180735205572689
1.5419197210007654
22.0ms
-2825946.7282828824
-0.0013079059934821581
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes9.0ms (0.1%)

Counts
9 → 1
Calls
Call 1
Inputs
(-.f64 1 1)
(/.f64 1/2 (+.f64 1 1))
(*.f64 x (*.f64 x 1/8))
(*.f64 1/8 (*.f64 x x))
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 1))
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
(/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 1))
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 1))
(/.f64 (-.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x)))) (+.f64 1 1))
Outputs
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
Calls

1 calls:

6.0ms
x
Results
ErrorSegmentsBranch
25.9b1x
Compiler

Compiled 70 to 57 computations (18.6% saved)

regimes21.0ms (0.2%)

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

1 calls:

19.0ms
x
Results
ErrorSegmentsBranch
24.5b3x
Compiler

Compiled 30 to 24 computations (20% saved)

bsearch76.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
21.0ms
0.6180735205572689
1.5419197210007654
55.0ms
-2825946.7282828824
-0.0013079059934821581
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes13.0ms (0.1%)

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

1 calls:

12.0ms
x
Results
ErrorSegmentsBranch
24.5b3x
Compiler

Compiled 21 to 16 computations (23.8% saved)

bsearch67.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
23.0ms
0.6180735205572689
1.5419197210007654
44.0ms
-2825946.7282828824
-0.0013079059934821581
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes11.0ms (0.1%)

Accuracy

Total -20.9b remaining (-50.9%)

Threshold costs -20.9b (-50.9%)

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

1 calls:

10.0ms
x
Results
ErrorSegmentsBranch
41.0b3x
Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch137.0ms (1.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
67.0ms
4.701998421141907e-80
7.613975592219959e-77
69.0ms
-2.871991457103693e-72
-9.779422233726719e-85
Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify42.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0100614
1129614
2150614
3162614
4168614
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (hypot.f64 1 x) 2476979795053773/2251799813685248) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -11/128 1/8) (*.f64 69/1024 (pow.f64 x 6))) (/.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) 2476979795053773/2251799813685248) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -11/128 1/8) (*.f64 69/1024 (pow.f64 x 6))) (/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(if (<=.f64 (hypot.f64 1 x) 2476979795053773/2251799813685248) (*.f64 x (fma.f64 1/8 x (*.f64 -11/128 (pow.f64 x 3)))) (/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(if (<=.f64 (hypot.f64 1 x) 2476979795053773/2251799813685248) (*.f64 x (fma.f64 1/8 x (*.f64 -11/128 (pow.f64 x 3)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(if (<=.f64 x -6068674389106589/2147483648) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (if (<=.f64 x 2783555676869287/4503599627370496) (*.f64 x (fma.f64 1/8 x (*.f64 -11/128 (pow.f64 x 3)))) (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(if (<=.f64 x -6068674389106589/2147483648) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (if (<=.f64 x 2783555676869287/4503599627370496) (+.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 -6068674389106589/2147483648) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (if (<=.f64 x 2783555676869287/4503599627370496) (+.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 -11/128 (pow.f64 x 4))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))))))
(if (<=.f64 x -6068674389106589/2147483648) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (if (<=.f64 x 2783555676869287/4503599627370496) (+.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 x -6068674389106589/2147483648) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (if (<=.f64 x 2783555676869287/4503599627370496) (*.f64 x (*.f64 x 1/8)) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))))
(if (<=.f64 x -6068674389106589/2147483648) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (if (<=.f64 x 2783555676869287/4503599627370496) (*.f64 x (*.f64 x 1/8)) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))))
(if (<=.f64 x -6068674389106589/2147483648) (-.f64 1 (sqrt.f64 1/2)) (if (<=.f64 x 2783555676869287/4503599627370496) (*.f64 x (*.f64 x 1/8)) (-.f64 1 (sqrt.f64 1/2))))
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
(if (<=.f64 x -6068674389106589/2147483648) (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 1)) (if (<=.f64 x 2783555676869287/4503599627370496) (*.f64 x (*.f64 x 1/8)) (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 1))))
(if (<=.f64 x -6068674389106589/2147483648) (/.f64 1/2 (+.f64 1 1)) (if (<=.f64 x 2783555676869287/4503599627370496) (*.f64 x (*.f64 x 1/8)) (/.f64 1/2 (+.f64 1 1))))
(if (<=.f64 x -2856616172776135/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112) (/.f64 1/2 (+.f64 1 1)) (if (<=.f64 x 6277129794049813/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536) (-.f64 1 1) (/.f64 1/2 (+.f64 1 1))))
(-.f64 1 1)
Outputs
(if (<=.f64 (hypot.f64 1 x) 2476979795053773/2251799813685248) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -11/128 1/8) (*.f64 69/1024 (pow.f64 x 6))) (/.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) 2476979795053773/2251799813685248) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -11/128 1/8) (*.f64 69/1024 (pow.f64 x 6))) (/.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) 2476979795053773/2251799813685248) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -11/128 1/8) (*.f64 69/1024 (pow.f64 x 6))) (/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(if (<=.f64 (hypot.f64 1 x) 2476979795053773/2251799813685248) (*.f64 x (fma.f64 1/8 x (*.f64 -11/128 (pow.f64 x 3)))) (/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(if (<=.f64 (hypot.f64 1 x) 2476979795053773/2251799813685248) (*.f64 x (fma.f64 1/8 x (*.f64 -11/128 (pow.f64 x 3)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(if (<=.f64 x -6068674389106589/2147483648) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (if (<=.f64 x 2783555676869287/4503599627370496) (*.f64 x (fma.f64 1/8 x (*.f64 -11/128 (pow.f64 x 3)))) (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(if (<=.f64 x -6068674389106589/2147483648) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (if (<=.f64 x 2783555676869287/4503599627370496) (*.f64 x (fma.f64 1/8 x (*.f64 -11/128 (pow.f64 x 3)))) (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(if (<=.f64 x -6068674389106589/2147483648) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (if (<=.f64 x 2783555676869287/4503599627370496) (+.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 -6068674389106589/2147483648) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (if (<=.f64 x 2783555676869287/4503599627370496) (+.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 -6068674389106589/2147483648) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (if (<=.f64 x 2783555676869287/4503599627370496) (+.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 -11/128 (pow.f64 x 4))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (+.f64 x (/.f64 1/2 x))))))))
(if (<=.f64 x -6068674389106589/2147483648) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (if (<=.f64 x 2783555676869287/4503599627370496) (+.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 x -6068674389106589/2147483648) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (if (<=.f64 x 2783555676869287/4503599627370496) (+.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 -11/128 (pow.f64 x 4))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))))
(if (<=.f64 x -6068674389106589/2147483648) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (if (<=.f64 x 2783555676869287/4503599627370496) (*.f64 x (*.f64 x 1/8)) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))))
(if (<=.f64 x -6068674389106589/2147483648) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (if (<=.f64 x 2783555676869287/4503599627370496) (*.f64 x (*.f64 x 1/8)) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))))
(if (<=.f64 x -6068674389106589/2147483648) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (if (<=.f64 x 2783555676869287/4503599627370496) (*.f64 x (*.f64 x 1/8)) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))))
(if (<=.f64 x -6068674389106589/2147483648) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (if (<=.f64 x 2783555676869287/4503599627370496) (*.f64 x (*.f64 x 1/8)) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))))
(if (<=.f64 x -6068674389106589/2147483648) (-.f64 1 (sqrt.f64 1/2)) (if (<=.f64 x 2783555676869287/4503599627370496) (*.f64 x (*.f64 x 1/8)) (-.f64 1 (sqrt.f64 1/2))))
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
(if (<=.f64 x -6068674389106589/2147483648) (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 1)) (if (<=.f64 x 2783555676869287/4503599627370496) (*.f64 x (*.f64 x 1/8)) (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 1))))
(if (<=.f64 x -6068674389106589/2147483648) (/.f64 (-.f64 1/2 (/.f64 1/2 x)) 2) (if (<=.f64 x 2783555676869287/4503599627370496) (*.f64 x (*.f64 x 1/8)) (/.f64 (-.f64 1/2 (/.f64 1/2 x)) 2)))
(if (<=.f64 x -6068674389106589/2147483648) (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2) (if (<=.f64 x 2783555676869287/4503599627370496) (*.f64 x (*.f64 x 1/8)) (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)))
(if (<=.f64 x -6068674389106589/2147483648) (/.f64 1/2 (+.f64 1 1)) (if (<=.f64 x 2783555676869287/4503599627370496) (*.f64 x (*.f64 x 1/8)) (/.f64 1/2 (+.f64 1 1))))
(if (<=.f64 x -6068674389106589/2147483648) 1/4 (if (<=.f64 x 2783555676869287/4503599627370496) (*.f64 x (*.f64 x 1/8)) 1/4))
(if (<=.f64 x -2856616172776135/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112) (/.f64 1/2 (+.f64 1 1)) (if (<=.f64 x 6277129794049813/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536) (-.f64 1 1) (/.f64 1/2 (+.f64 1 1))))
(if (<=.f64 x -2856616172776135/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112) 1/4 (if (<=.f64 x 6277129794049813/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536) 0 1/4))
(-.f64 1 1)
0
Compiler

Compiled 435 to 351 computations (19.3% saved)

soundness265.0ms (2.3%)

Algorithm
4×egg-herbie
Rules
789×times-frac_binary64
709×associate-*l*_binary64
641×fma-def_binary64
517×fma-def_binary64
478×distribute-lft-out_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01018
12215
22915
33715
44415
55415
66515
77715
88015
01781831
15651564
222331447
056660
1140614
2360614
31147614
44855614
01018
12215
22915
33715
44415
55415
66515
77715
88015
Stop Event
1×saturated
1×node limit
1×node limit
1×saturated
Compiler

Compiled 505 to 425 computations (15.8% saved)

end403.0ms (3.5%)

Compiler

Compiled 420 to 334 computations (20.5% saved)

Profiling

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