Details

Time bar (total: 1.6s)

analyze7.0ms (0.4%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%100%0%3
50%50%0%4
75%25%0%5
87.5%12.5%0%6
93.7%6.2%0%7
96.8%3.1%0%8
98.4%1.6%0%9
99.2%0.8%0%10
99.6%0.4%0%11
99.8%0.2%0%12
99.9%0.1%0%13
99.9%0%0%14
Compiler

Compiled 13 to 10 computations (23.1% saved)

sample721.0ms (45.1%)

Results
708.0ms8256×body128valid
Compiler

Compiled 26 to 20 computations (23.1% saved)

preprocess15.0ms (1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
11516
21616
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Outputs
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))
Compiler

Compiled 12 to 9 computations (25% saved)

simplify6.0ms (0.4%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
11516
21616
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Outputs
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))

prune3.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Compiler

Compiled 47 to 35 computations (25.5% saved)

localize6.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

series4.0ms (0.3%)

Counts
3 → 36
Calls

9 calls:

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

rewrite60.0ms (3.7%)

Algorithm
batch-egg-rewrite
Rules
489×fma-def_binary64
249×fma-neg_binary64
229×log-div_binary64
168×expm1-udef_binary64
168×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0830
119330
2314130
Stop Event
node limit
Counts
3 → 138
Calls
Call 1
Inputs
(/.f64 1 (-.f64 x 1))
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
(/.f64 x (+.f64 x 1))
Outputs
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(+.f64 x -1) -2)) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2) (cbrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) (sqrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (fma.f64 -1 x 1)) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) (/.f64 1 (fma.f64 -1 x -1)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 x)) x (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x -1)) -1) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (+.f64 x -1)) -1) (pow.f64 (sqrt.f64 (+.f64 x -1)) -1) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (/.f64 x (hypot.f64 1 (sqrt.f64 x))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -1)) (+.f64 (fma.f64 x x 1) x) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 1 x) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2) (cbrt.f64 (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) (sqrt.f64 (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (/.f64 x (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 x))))))))

simplify30.0ms (1.9%)

Algorithm
egg-herbie
Rules
479×fma-neg_binary64
456×cancel-sign-sub-inv_binary64
420×associate-*l*_binary64
314×associate-*r*_binary64
212×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
059488
1183470
2553457
31755453
Stop Event
node limit
Counts
174 → 178
Calls
Call 1
Inputs
-1
(neg.f64 (+.f64 1 x))
(neg.f64 (+.f64 1 (+.f64 (pow.f64 x 2) x)))
(neg.f64 (+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 x (pow.f64 x 3)))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2))))
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 1 (*.f64 2 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 6)) (*.f64 2 (pow.f64 x 2))))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
x
(-.f64 x (pow.f64 x 2))
(-.f64 (+.f64 (pow.f64 x 3) x) (pow.f64 x 2))
(-.f64 (+.f64 (pow.f64 x 3) x) (+.f64 (pow.f64 x 4) (pow.f64 x 2)))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
Outputs
-1
(neg.f64 (+.f64 1 x))
(+.f64 -1 (neg.f64 x))
(-.f64 -1 x)
(neg.f64 (+.f64 1 (+.f64 (pow.f64 x 2) x)))
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 x x))))
(-.f64 -1 (fma.f64 x x x))
(neg.f64 (+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 x (pow.f64 x 3)))))
(+.f64 -1 (neg.f64 (+.f64 (*.f64 x x) (+.f64 x (pow.f64 x 3)))))
(-.f64 -1 (fma.f64 x x (+.f64 x (pow.f64 x 3))))
(-.f64 (-.f64 -1 (fma.f64 x x x)) (pow.f64 x 3))
(*.f64 (fma.f64 x x 1) (-.f64 -1 x))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2))))
(neg.f64 (+.f64 1 (*.f64 2 (*.f64 x x))))
(+.f64 -1 (*.f64 (*.f64 x x) -2))
(fma.f64 (*.f64 x x) -2 -1)
(fma.f64 x (*.f64 x -2) -1)
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 1 (*.f64 2 (pow.f64 x 2)))))
(neg.f64 (fma.f64 2 (pow.f64 x 4) (+.f64 1 (*.f64 2 (*.f64 x x)))))
(-.f64 (*.f64 (pow.f64 x 4) -2) (fma.f64 2 (*.f64 x x) 1))
(-.f64 -1 (*.f64 2 (fma.f64 x x (pow.f64 x 4))))
(+.f64 -1 (*.f64 -2 (fma.f64 x x (pow.f64 x 4))))
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 6)) (*.f64 2 (pow.f64 x 2))))))
(neg.f64 (fma.f64 2 (pow.f64 x 4) (+.f64 1 (*.f64 2 (+.f64 (pow.f64 x 6) (*.f64 x x))))))
(-.f64 (*.f64 (pow.f64 x 4) -2) (fma.f64 2 (+.f64 (*.f64 x x) (pow.f64 x 6)) 1))
(-.f64 -1 (*.f64 2 (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6)))))
(fma.f64 (pow.f64 x 4) -2 (fma.f64 (fma.f64 x x (pow.f64 x 6)) -2 -1))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 2 (*.f64 x x)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 4)))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))) (+.f64 1 (/.f64 2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 6))) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 1 (/.f64 2 (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 2 (*.f64 x x)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 4)))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))) (+.f64 1 (/.f64 2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 6))) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 1 (/.f64 2 (pow.f64 x 6)))))
x
(-.f64 x (pow.f64 x 2))
(-.f64 x (*.f64 x x))
(-.f64 (+.f64 (pow.f64 x 3) x) (pow.f64 x 2))
(-.f64 (+.f64 x (pow.f64 x 3)) (*.f64 x x))
(*.f64 x (-.f64 (fma.f64 x x 1) x))
(-.f64 (+.f64 (pow.f64 x 3) x) (+.f64 (pow.f64 x 4) (pow.f64 x 2)))
(-.f64 (+.f64 x (pow.f64 x 3)) (+.f64 (*.f64 x x) (pow.f64 x 4)))
(+.f64 (pow.f64 x 3) (-.f64 x (fma.f64 x x (pow.f64 x 4))))
(*.f64 (fma.f64 x x 1) (-.f64 x (*.f64 x x)))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (/.f64 1 x))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (/.f64 1 x))) (/.f64 -1 (pow.f64 x 3)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (/.f64 1 x))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (/.f64 1 x))) (/.f64 -1 (pow.f64 x 3)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))

prune147.0ms (9.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1762178
Fresh000
Picked101
Done000
Total1772179
Error
0b
Counts
179 → 2
Alt Table
StatusErrorProgram
0.0b
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))) 3)
14.0b
(/.f64 (fma.f64 x (+.f64 x -1) (+.f64 1 x)) (fma.f64 x x -1))
Compiler

Compiled 3060 to 2278 computations (25.6% saved)

localize9.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x))))
0.0b
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))) 3)
0.0b
(/.f64 1 (+.f64 x -1))
0.0b
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))

series20.0ms (1.2%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
9.0ms
x
@0
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))) 3)
5.0ms
x
@-inf
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))) 3)
1.0ms
x
@0
(cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x))))
1.0ms
x
@-inf
(cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x))))
1.0ms
x
@inf
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))) 3)

rewrite80.0ms (5%)

Algorithm
batch-egg-rewrite
Rules
521×fma-def_binary64
254×fma-neg_binary64
213×expm1-udef_binary64
213×log1p-udef_binary64
130×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01257
127857
2380657
Stop Event
node limit
Counts
4 → 209
Calls
Call 1
Inputs
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))
(/.f64 1 (+.f64 x -1))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))) 3)
(cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))))) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))))) 2) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))) 1/6) (pow.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))) 1/3) (pow.f64 (sqrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x -1) -3) (pow.f64 (/.f64 x (+.f64 1 x)) 3))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (/.f64 x (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (fma.f64 x (+.f64 x -1) (+.f64 1 x))) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (/.f64 x (+.f64 1 x)) 2))) (cbrt.f64 (-.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 1 x))))))))))

simplify44.0ms (2.8%)

Algorithm
egg-herbie
Rules
775×fma-neg_binary64
307×fma-def_binary64
271×associate-/r*_binary64
259×unswap-sqr_binary64
254×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0105829
1328807
21002791
33840789
Stop Event
node limit
Counts
257 → 184
Calls
Call 1
Inputs
-1
(neg.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2))))
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 1 (*.f64 2 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 6)) (*.f64 2 (pow.f64 x 2))))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
-1
(neg.f64 (+.f64 1 x))
(neg.f64 (+.f64 1 (+.f64 (pow.f64 x 2) x)))
(neg.f64 (+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 x (pow.f64 x 3)))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2))))
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 1 (*.f64 2 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 6)) (*.f64 2 (pow.f64 x 2))))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(pow.f64 (cbrt.f64 -1) 6)
(+.f64 (pow.f64 (cbrt.f64 -1) 6) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (pow.f64 (cbrt.f64 -1) 6) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (pow.f64 (cbrt.f64 -1) 6) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(cbrt.f64 -1)
(-.f64 (cbrt.f64 -1) (*.f64 2/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))))
(-.f64 (cbrt.f64 -1) (+.f64 (*.f64 2/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 2/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2)))))
(-.f64 (+.f64 (*.f64 8/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8))) (cbrt.f64 -1)) (+.f64 (*.f64 10/27 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (*.f64 2/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 2/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))))))
1
(+.f64 1 (*.f64 2/3 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 2/9 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 2/3 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (*.f64 2/9 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (+.f64 (*.f64 22/81 (/.f64 1 (pow.f64 x 6))) (*.f64 2/3 (/.f64 1 (pow.f64 x 2))))))
(pow.f64 (cbrt.f64 -1) 2)
(-.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 2/3 (/.f64 1 (*.f64 (cbrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (*.f64 2/9 (/.f64 1 (*.f64 (cbrt.f64 -1) (pow.f64 x 4)))) (*.f64 2/3 (/.f64 1 (*.f64 (cbrt.f64 -1) (pow.f64 x 2))))))
(-.f64 (+.f64 (*.f64 8/81 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 7) (pow.f64 x 6)))) (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (*.f64 10/27 (/.f64 1 (*.f64 (cbrt.f64 -1) (pow.f64 x 6)))) (+.f64 (*.f64 2/9 (/.f64 1 (*.f64 (cbrt.f64 -1) (pow.f64 x 4)))) (*.f64 2/3 (/.f64 1 (*.f64 (cbrt.f64 -1) (pow.f64 x 2)))))))
Outputs
-1
(neg.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2))))
(+.f64 -1 (neg.f64 (*.f64 2 (*.f64 x x))))
(+.f64 -1 (*.f64 (*.f64 x x) -2))
(fma.f64 (*.f64 x x) -2 -1)
(fma.f64 x (*.f64 x -2) -1)
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 1 (*.f64 2 (pow.f64 x 2)))))
(neg.f64 (fma.f64 2 (pow.f64 x 4) (+.f64 1 (*.f64 2 (*.f64 x x)))))
(-.f64 (*.f64 (pow.f64 x 4) -2) (fma.f64 2 (*.f64 x x) 1))
(fma.f64 (pow.f64 x 4) -2 (fma.f64 (*.f64 x x) -2 -1))
(fma.f64 x (*.f64 x -2) (fma.f64 (pow.f64 x 4) -2 -1))
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 6)) (*.f64 2 (pow.f64 x 2))))))
(neg.f64 (fma.f64 2 (pow.f64 x 4) (+.f64 1 (*.f64 2 (+.f64 (pow.f64 x 6) (*.f64 x x))))))
(-.f64 (*.f64 (pow.f64 x 4) -2) (fma.f64 2 (+.f64 (*.f64 x x) (pow.f64 x 6)) 1))
(-.f64 -1 (*.f64 2 (+.f64 (fma.f64 x x (pow.f64 x 6)) (pow.f64 x 4))))
(fma.f64 (pow.f64 x 4) -2 (fma.f64 (fma.f64 x x (pow.f64 x 6)) -2 -1))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 2 (*.f64 x x)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 4)))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) 1) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4)))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 2 (*.f64 x x)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 4)))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) 1) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4)))))
-1
(neg.f64 (+.f64 1 x))
(+.f64 -1 (neg.f64 x))
(-.f64 -1 x)
(neg.f64 (+.f64 1 (+.f64 (pow.f64 x 2) x)))
(+.f64 -1 (neg.f64 (+.f64 x (*.f64 x x))))
(-.f64 -1 (fma.f64 x x x))
(neg.f64 (+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 x (pow.f64 x 3)))))
(neg.f64 (+.f64 (+.f64 1 (*.f64 x x)) (+.f64 x (pow.f64 x 3))))
(-.f64 -1 (+.f64 (fma.f64 x x x) (pow.f64 x 3)))
(-.f64 (-.f64 -1 x) (*.f64 x (fma.f64 x x x)))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
(/.f64 1 x)
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2))))
(+.f64 -1 (neg.f64 (*.f64 2 (*.f64 x x))))
(+.f64 -1 (*.f64 (*.f64 x x) -2))
(fma.f64 (*.f64 x x) -2 -1)
(fma.f64 x (*.f64 x -2) -1)
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 1 (*.f64 2 (pow.f64 x 2)))))
(neg.f64 (fma.f64 2 (pow.f64 x 4) (+.f64 1 (*.f64 2 (*.f64 x x)))))
(-.f64 (*.f64 (pow.f64 x 4) -2) (fma.f64 2 (*.f64 x x) 1))
(fma.f64 (pow.f64 x 4) -2 (fma.f64 (*.f64 x x) -2 -1))
(fma.f64 x (*.f64 x -2) (fma.f64 (pow.f64 x 4) -2 -1))
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 6)) (*.f64 2 (pow.f64 x 2))))))
(neg.f64 (fma.f64 2 (pow.f64 x 4) (+.f64 1 (*.f64 2 (+.f64 (pow.f64 x 6) (*.f64 x x))))))
(-.f64 (*.f64 (pow.f64 x 4) -2) (fma.f64 2 (+.f64 (*.f64 x x) (pow.f64 x 6)) 1))
(-.f64 -1 (*.f64 2 (+.f64 (fma.f64 x x (pow.f64 x 6)) (pow.f64 x 4))))
(fma.f64 (pow.f64 x 4) -2 (fma.f64 (fma.f64 x x (pow.f64 x 6)) -2 -1))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 2 (*.f64 x x)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 4)))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) 1) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4)))))
(pow.f64 (cbrt.f64 -1) 6)
1
(+.f64 (pow.f64 (cbrt.f64 -1) 6) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 2 (*.f64 x x)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (pow.f64 (cbrt.f64 -1) 6) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 4)))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (pow.f64 (cbrt.f64 -1) 6) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) 1) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4)))))
(cbrt.f64 -1)
(-.f64 (cbrt.f64 -1) (*.f64 2/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))))
(-.f64 (cbrt.f64 -1) (/.f64 (*.f64 2/3 (*.f64 x x)) (pow.f64 (cbrt.f64 -1) 2)))
(+.f64 (cbrt.f64 -1) (*.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) -2/3))
(fma.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 -1) 2)) x) -2/3 (cbrt.f64 -1))
(-.f64 (cbrt.f64 -1) (+.f64 (*.f64 2/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 2/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2)))))
(-.f64 (cbrt.f64 -1) (fma.f64 2/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2)) (/.f64 (*.f64 2/3 (*.f64 x x)) (pow.f64 (cbrt.f64 -1) 2))))
(-.f64 (cbrt.f64 -1) (fma.f64 2/3 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 2/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2)))))
(-.f64 (fma.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 -1) 2)) x) -2/3 (cbrt.f64 -1)) (*.f64 2/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2))))
(-.f64 (+.f64 (*.f64 8/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8))) (cbrt.f64 -1)) (+.f64 (*.f64 10/27 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (*.f64 2/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 2/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))))))
(-.f64 (fma.f64 8/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8)) (cbrt.f64 -1)) (fma.f64 10/27 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 2/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2)) (/.f64 (*.f64 2/3 (*.f64 x x)) (pow.f64 (cbrt.f64 -1) 2)))))
(-.f64 (fma.f64 8/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8)) (cbrt.f64 -1)) (fma.f64 10/27 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 2/3 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 2/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2))))))
(-.f64 (fma.f64 8/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8)) (cbrt.f64 -1)) (fma.f64 2/3 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 -1) 2)) x) (fma.f64 2/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 10/27 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 2))))))
(+.f64 (fma.f64 8/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8)) (cbrt.f64 -1)) (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 2)) -10/27 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 2)) -2/9 (*.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 -1) 2)) x) -2/3))))
1
(+.f64 1 (*.f64 2/3 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 2/3 (*.f64 x x)))
(+.f64 (*.f64 2/9 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 2/3 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 1 (/.f64 2/3 (*.f64 x x))) (/.f64 2/9 (pow.f64 x 4)))
(+.f64 1 (+.f64 (/.f64 2/3 (*.f64 x x)) (/.f64 2/9 (pow.f64 x 4))))
(+.f64 (/.f64 2/3 (*.f64 x x)) (+.f64 1 (/.f64 2/9 (pow.f64 x 4))))
(+.f64 (*.f64 2/9 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (+.f64 (*.f64 22/81 (/.f64 1 (pow.f64 x 6))) (*.f64 2/3 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (/.f64 2/9 (pow.f64 x 4)) (+.f64 (+.f64 1 (/.f64 22/81 (pow.f64 x 6))) (/.f64 2/3 (*.f64 x x))))
(+.f64 (/.f64 2/9 (pow.f64 x 4)) (+.f64 (/.f64 2/3 (*.f64 x x)) (+.f64 1 (/.f64 22/81 (pow.f64 x 6)))))
(+.f64 (/.f64 2/3 (*.f64 x x)) (+.f64 (/.f64 2/9 (pow.f64 x 4)) (+.f64 1 (/.f64 22/81 (pow.f64 x 6)))))
(pow.f64 (cbrt.f64 -1) 2)
(-.f64 (pow.f64 (cbrt.f64 -1) 2) (*.f64 2/3 (/.f64 1 (*.f64 (cbrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (pow.f64 (cbrt.f64 -1) 2) (/.f64 2/3 (*.f64 (*.f64 x x) (cbrt.f64 -1))))
(-.f64 (pow.f64 (cbrt.f64 -1) 2) (/.f64 (/.f64 2/3 (*.f64 x x)) (cbrt.f64 -1)))
(+.f64 (pow.f64 (cbrt.f64 -1) 2) (/.f64 -2/3 (*.f64 (*.f64 x x) (cbrt.f64 -1))))
(-.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (*.f64 2/9 (/.f64 1 (*.f64 (cbrt.f64 -1) (pow.f64 x 4)))) (*.f64 2/3 (/.f64 1 (*.f64 (cbrt.f64 -1) (pow.f64 x 2))))))
(-.f64 (-.f64 (pow.f64 (cbrt.f64 -1) 2) (/.f64 2/9 (*.f64 (pow.f64 x 4) (cbrt.f64 -1)))) (/.f64 2/3 (*.f64 (*.f64 x x) (cbrt.f64 -1))))
(-.f64 (-.f64 (pow.f64 (cbrt.f64 -1) 2) (/.f64 (/.f64 2/3 (*.f64 x x)) (cbrt.f64 -1))) (/.f64 (/.f64 2/9 (cbrt.f64 -1)) (pow.f64 x 4)))
(+.f64 (/.f64 -2/9 (*.f64 (pow.f64 x 4) (cbrt.f64 -1))) (+.f64 (pow.f64 (cbrt.f64 -1) 2) (/.f64 -2/3 (*.f64 (*.f64 x x) (cbrt.f64 -1)))))
(-.f64 (+.f64 (*.f64 8/81 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 7) (pow.f64 x 6)))) (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (*.f64 10/27 (/.f64 1 (*.f64 (cbrt.f64 -1) (pow.f64 x 6)))) (+.f64 (*.f64 2/9 (/.f64 1 (*.f64 (cbrt.f64 -1) (pow.f64 x 4)))) (*.f64 2/3 (/.f64 1 (*.f64 (cbrt.f64 -1) (pow.f64 x 2)))))))
(-.f64 (+.f64 (pow.f64 (cbrt.f64 -1) 2) (/.f64 8/81 (*.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 7)))) (+.f64 (+.f64 (/.f64 2/3 (*.f64 (*.f64 x x) (cbrt.f64 -1))) (/.f64 2/9 (*.f64 (pow.f64 x 4) (cbrt.f64 -1)))) (/.f64 10/27 (*.f64 (pow.f64 x 6) (cbrt.f64 -1)))))
(+.f64 (/.f64 8/81 (*.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 7))) (-.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (+.f64 (/.f64 (/.f64 2/3 (*.f64 x x)) (cbrt.f64 -1)) (/.f64 (/.f64 2/9 (cbrt.f64 -1)) (pow.f64 x 4))) (/.f64 (/.f64 10/27 (cbrt.f64 -1)) (pow.f64 x 6)))))
(+.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (/.f64 8/81 (*.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 7))) (+.f64 (/.f64 -2/9 (*.f64 (pow.f64 x 4) (cbrt.f64 -1))) (+.f64 (/.f64 -2/3 (*.f64 (*.f64 x x) (cbrt.f64 -1))) (/.f64 -10/27 (*.f64 (pow.f64 x 6) (cbrt.f64 -1)))))))

prune147.0ms (9.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1840184
Fresh011
Picked011
Done000
Total1842186
Error
0b
Counts
186 → 2
Alt Table
StatusErrorProgram
0.0b
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))) 3)
14.0b
(/.f64 (fma.f64 x (+.f64 x -1) (+.f64 1 x)) (fma.f64 x x -1))
Compiler

Compiled 3950 to 3162 computations (19.9% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 x (+.f64 x -1) (+.f64 1 x))
13.6b
(/.f64 (fma.f64 x (+.f64 x -1) (+.f64 1 x)) (fma.f64 x x -1))

series3.0ms (0.2%)

Counts
2 → 24
Calls

6 calls:

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

rewrite50.0ms (3.2%)

Algorithm
batch-egg-rewrite
Rules
419×log-prod_binary64
282×prod-diff_binary64
259×fma-def_binary64
166×expm1-udef_binary64
166×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
119329
2258229
Stop Event
node limit
Counts
2 → 69
Calls
Call 1
Inputs
(/.f64 (fma.f64 x (+.f64 x -1) (+.f64 1 x)) (fma.f64 x x -1))
(fma.f64 x (+.f64 x -1) (+.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (/.f64 1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))) 2) (cbrt.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)) 2) (*.f64 (cbrt.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)) (/.f64 1 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))) (sqrt.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x 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1) x) (fma.f64 x x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x -1) (+.f64 (fma.f64 x (+.f64 x -1) 1) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (neg.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) 3) (pow.f64 (fma.f64 x x -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (-.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (fma.f64 x (+.f64 x -1) 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x x) x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (+.f64 x -1) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (*.f64 x x) x) 1) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (+.f64 x -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x))) (cbrt.f64 (exp.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (fma.f64 x (+.f64 x -1) 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)) 2) (cbrt.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)) (sqrt.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 (*.f64 x x) x) 3) (pow.f64 (+.f64 x 1) 3)) (fma.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x) (-.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (-.f64 (*.f64 x x) x) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)) (pow.f64 (+.f64 x 1) 2)) (-.f64 (-.f64 (*.f64 x x) x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 x 1)) (exp.f64 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x 1))) (exp.f64 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x x) x)) (+.f64 1 (expm1.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 x (+.f64 x -1) 1)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 x (+.f64 x -1) 1)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x)))))))

simplify29.0ms (1.8%)

Algorithm
egg-herbie
Rules
704×times-frac_binary64
433×fma-def_binary64
285×unswap-sqr_binary64
262×fma-neg_binary64
254×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
033245
199221
2281214
3875212
43348212
Stop Event
node limit
Counts
93 → 87
Calls
Call 1
Inputs
-1
(neg.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2))))
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 1 (*.f64 2 (pow.f64 x 2)))))
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 6)) (*.f64 2 (pow.f64 x 2))))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
1
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (pow.f64 x 2))
Outputs
-1
(neg.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2))))
(+.f64 -1 (neg.f64 (*.f64 2 (*.f64 x x))))
(+.f64 -1 (*.f64 (*.f64 x x) -2))
(fma.f64 (*.f64 x x) -2 -1)
(fma.f64 x (*.f64 x -2) -1)
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 1 (*.f64 2 (pow.f64 x 2)))))
(neg.f64 (fma.f64 2 (pow.f64 x 4) (+.f64 1 (*.f64 2 (*.f64 x x)))))
(neg.f64 (fma.f64 2 (pow.f64 x 4) (fma.f64 2 (*.f64 x x) 1)))
(fma.f64 (pow.f64 x 4) -2 (fma.f64 (*.f64 x x) -2 -1))
(neg.f64 (fma.f64 2 (fma.f64 x x (pow.f64 x 4)) 1))
(neg.f64 (+.f64 (*.f64 2 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 6)) (*.f64 2 (pow.f64 x 2))))))
(neg.f64 (fma.f64 2 (pow.f64 x 4) (+.f64 1 (*.f64 2 (+.f64 (pow.f64 x 6) (*.f64 x x))))))
(-.f64 (*.f64 (pow.f64 x 4) -2) (fma.f64 2 (+.f64 (*.f64 x x) (pow.f64 x 6)) 1))
(-.f64 -1 (*.f64 2 (+.f64 (fma.f64 x x (pow.f64 x 6)) (pow.f64 x 4))))
(fma.f64 (pow.f64 x 4) -2 (fma.f64 (fma.f64 x x (pow.f64 x 6)) -2 -1))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 2 (*.f64 x x)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 4)))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.f64 2 (pow.f64 x 4))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.f64 2 (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 2 (*.f64 x x)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 4)))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.f64 2 (pow.f64 x 4))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.f64 2 (pow.f64 x 6)))))
1
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (*.f64 x x))
(fma.f64 x x 1)
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (*.f64 x x))
(fma.f64 x x 1)
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (*.f64 x x))
(fma.f64 x x 1)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (*.f64 x x))
(fma.f64 x x 1)
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (*.f64 x x))
(fma.f64 x x 1)
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (*.f64 x x))
(fma.f64 x x 1)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (*.f64 x x))
(fma.f64 x x 1)
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (*.f64 x x))
(fma.f64 x x 1)
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (*.f64 x x))
(fma.f64 x x 1)

prune57.0ms (3.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New87087
Fresh000
Picked011
Done011
Total87289
Error
0b
Counts
89 → 2
Alt Table
StatusErrorProgram
0.0b
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))) 3)
14.0b
(/.f64 (fma.f64 x (+.f64 x -1) (+.f64 1 x)) (fma.f64 x x -1))
Compiler

Compiled 1634 to 1102 computations (32.6% saved)

regimes84.0ms (5.2%)

Accuracy

Total 0.0b remaining (88.5%)

Threshold costs 0.0b (88.5%)

Counts
83 → 1
Compiler

Compiled 979 to 734 computations (25% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01221
11721
Stop Event
saturated
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))) 3)
Outputs
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))) 3)

end68.0ms (4.2%)

Stop Event
done
Compiler

Compiled 59 to 45 computations (23.7% saved)

Profiling

Loading profile data...