Details

Time bar (total: 2.1s)

analyze3.0ms (0.2%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
25%25%75%0%0%0%0%3
62.5%62.5%37.5%0%0%0%0%4
81.3%81.2%18.7%0%0%0%0%5
90.6%90.6%9.4%0%0%0%0%6
95.3%95.3%4.7%0%0%0%0%7
97.7%97.6%2.3%0%0%0%0%8
98.8%98.8%1.2%0%0%0%0%9
99.4%99.4%0.6%0%0%0%0%10
99.7%99.7%0.3%0%0%0%0%11
99.9%99.8%0.1%0%0%0%0%12
Compiler

Compiled 7 to 5 computations (28.6% saved)

sample590.0ms (28.5%)

Results
578.0ms8256×body256valid
Bogosity

preprocess9.0ms (0.4%)

Algorithm
egg-herbie
Rules
18×+-commutative
14×sub-neg
12×fma-def
10×associate-+l-
div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
11113
21513
32213
42913
53913
65713
77313
88413
98713
108813
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 x (-.f64 1 x))
Outputs
(/.f64 x (-.f64 1 x))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify15.0ms (0.7%)

Algorithm
egg-herbie
Rules
18×+-commutative
14×sub-neg
12×fma-def
10×associate-+l-
div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
11113
21513
32213
42913
53913
65713
77313
88413
98713
108813
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 x (-.f64 1 x))
Outputs
(/.f64 x (-.f64 1 x))

eval0.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(/.f64 x (-.f64 1 x))
Compiler

Compiled 6 to 4 computations (33.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite53.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
1428×add-sqr-sqrt
1412×*-un-lft-identity
1322×add-cube-cbrt
1308×add-cbrt-cube
1300×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
112813
2171413
Stop Event
node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 x (-.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (-.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 (sqrt.f64 (/.f64 x (-.f64 1 x))) (sqrt.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 (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 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.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 x (-.f64 1 (*.f64 x x))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x 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 (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 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 x) (sqrt.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 pow.f64 (/.f64 x (-.f64 1 x)) 1)))) (#(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 (cbrt.f64 (/.f64 x (-.f64 1 x))) 3)))) (#(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 (neg.f64 (-.f64 1 x))))))) (#(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 cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 x))))))))

simplify57.0ms (2.8%)

Algorithm
egg-herbie
Rules
984×distribute-lft-in
978×associate-+r+
882×distribute-rgt-in
860×associate-+l+
722×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01121227
13011011
21139837
34342837
Stop Event
node limit
Counts
45 → 70
Calls
Call 1
Inputs
x
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(-.f64 (+.f64 1 (/.f64 x (-.f64 1 x))) 1)
(*.f64 x (/.f64 1 (-.f64 1 x)))
(*.f64 1 (/.f64 x (-.f64 1 x)))
(*.f64 (/.f64 x (-.f64 1 x)) 1)
(*.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) (sqrt.f64 (/.f64 x (-.f64 1 x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 2) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 x))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 x)) x)
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(pow.f64 (/.f64 x (-.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 1 x) x) -1)
(neg.f64 (/.f64 x (neg.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 x (-.f64 1 x))))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 x))))
(exp.f64 (log.f64 (/.f64 x (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 x))))
Outputs
x
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) x)
(+.f64 x (*.f64 (fma.f64 x x x) x))
(fma.f64 x (fma.f64 x x x) x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
(+.f64 (*.f64 x x) (+.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4)))
(+.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 x x (pow.f64 x 4)))
(*.f64 (fma.f64 x x 1) (fma.f64 x x x))
(*.f64 (fma.f64 x x x) (fma.f64 x x 1))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 (/.f64 -1 x) x)))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 -1 (/.f64 -1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 -1 x) (-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) -1))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 (/.f64 -1 x) x)))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 -1 (/.f64 -1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 -1 x) (-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) -1))
(-.f64 (+.f64 1 (/.f64 x (-.f64 1 x))) 1)
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 x (/.f64 1 (-.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 1 (/.f64 x (-.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 x (-.f64 1 x)) 1)
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) (sqrt.f64 (/.f64 x (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 2))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 2) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 1 (-.f64 1 x)) x)
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(/.f64 x (*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 x (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(/.f64 x (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x)))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (fma.f64 x (fma.f64 x x x) x) (-.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 x (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2))
(/.f64 x (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 x (sqrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(/.f64 x (*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (/.f64 x (-.f64 1 x)))))
(pow.f64 (/.f64 x (-.f64 1 x)) 1)
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) 2)
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 3)
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(pow.f64 (/.f64 (-.f64 1 x) x) -1)
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(neg.f64 (/.f64 x (neg.f64 (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(log.f64 (exp.f64 (/.f64 x (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(exp.f64 (log.f64 (/.f64 x (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1 x))) 1))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (-.f64 1 x)) 1))
(+.f64 (/.f64 x (-.f64 1 x)) 0)
(/.f64 x (-.f64 1 x))

eval15.0ms (0.7%)

Compiler

Compiled 731 to 491 computations (32.8% saved)

prune11.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New66470
Fresh000
Picked011
Done000
Total66571
Error
0b
Counts
71 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(/.f64 x (-.f64 1 x))
19.9b
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
15.1b
(*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (+.f64 x 1))
30.2b
x
32.3b
-1
Compiler

Compiled 37 to 25 computations (32.4% saved)

localize11.0ms (0.5%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (+.f64 x 1))
14.5b
(/.f64 x (-.f64 1 (*.f64 x x)))
Compiler

Compiled 32 to 16 computations (50% saved)

series1.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite86.0ms (4.1%)

Algorithm
batch-egg-rewrite
Rules
1288×associate-/r*
1124×associate-/l*
1044×*-commutative
608×distribute-lft-in
586×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0950
120732
2305032
Stop Event
node limit
Counts
2 → 228
Calls
Call 1
Inputs
(/.f64 x (-.f64 1 (*.f64 x x)))
(*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (+.f64 x 1))
Outputs
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simplify93.0ms (4.5%)

Algorithm
egg-herbie
Rules
1126×associate-/l*
802×associate-/l/
726×associate-*l*
692×associate-*r*
654×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
062111002
118308766
Stop Event
node limit
Counts
252 → 351
Calls
Call 1
Inputs
x
(+.f64 (pow.f64 x 3) x)
(+.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 7) (+.f64 (pow.f64 x 3) x)))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 7))))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 7))))))
x
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) 1) (*.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) (*.f64 x x)) (*.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) 1))
(+.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 x 6))) 1) (*.f64 (/.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 x x) (pow.f64 x 4))))
(+.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 x x) (pow.f64 x 4))) (*.f64 (/.f64 x (-.f64 1 (pow.f64 x 6))) 1))
(+.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 1 (pow.f64 x 4))) (*.f64 (/.f64 x (-.f64 1 (pow.f64 x 6))) (*.f64 x x)))
(+.f64 (*.f64 1 (/.f64 x (-.f64 1 (pow.f64 x 4)))) (*.f64 (*.f64 x x) (/.f64 x (-.f64 1 (pow.f64 x 4)))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 x (-.f64 1 (pow.f64 x 4)))) (*.f64 1 (/.f64 x (-.f64 1 (pow.f64 x 4)))))
(+.f64 (*.f64 1 (/.f64 x (-.f64 1 (pow.f64 x 6)))) (*.f64 (+.f64 (*.f64 x x) (pow.f64 x 4)) (/.f64 x (-.f64 1 (pow.f64 x 6)))))
(+.f64 (*.f64 (+.f64 (*.f64 x x) (pow.f64 x 4)) (/.f64 x (-.f64 1 (pow.f64 x 6)))) (*.f64 1 (/.f64 x (-.f64 1 (pow.f64 x 6)))))
(+.f64 (*.f64 (+.f64 1 (pow.f64 x 4)) (/.f64 x (-.f64 1 (pow.f64 x 6)))) (*.f64 (*.f64 x x) (/.f64 x (-.f64 1 (pow.f64 x 6)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 x) (fma.f64 x x -1)))) 1)
(*.f64 x (/.f64 -1 (fma.f64 x x -1)))
(*.f64 1 (/.f64 (neg.f64 x) (fma.f64 x x -1)))
(*.f64 (/.f64 (neg.f64 x) (fma.f64 x x -1)) 1)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 -1 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (/.f64 (neg.f64 x) (fma.f64 x x -1))) (sqrt.f64 (/.f64 (neg.f64 x) (fma.f64 x x -1))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 -1 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (/.f64 (neg.f64 x) (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (/.f64 (neg.f64 x) (fma.f64 x x -1))) 2))
(*.f64 (cbrt.f64 (/.f64 (neg.f64 x) (fma.f64 x x -1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 x) (fma.f64 x x -1))) 2) (cbrt.f64 (/.f64 (neg.f64 x) (fma.f64 x x -1))))
(*.f64 (neg.f64 x) (/.f64 1 (fma.f64 x x -1)))
(*.f64 (+.f64 1 (*.f64 x x)) (/.f64 x (-.f64 1 (pow.f64 x 4))))
(*.f64 (/.f64 -1 (fma.f64 x x -1)) x)
(*.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4))) (/.f64 x (-.f64 1 (pow.f64 x 6))))
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 -1 (fma.f64 x x -1))) (sqrt.f64 x))
(*.f64 (*.f64 (cbrt.f64 x) (/.f64 -1 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (/.f64 x (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (/.f64 x 1) (/.f64 -1 (fma.f64 x x -1)))
(*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(*.f64 (/.f64 x (cbrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 4))) (+.f64 x (pow.f64 x 3)))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 x (+.f64 1 (pow.f64 x 4))) (pow.f64 x 3)))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 x x)))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4))))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (neg.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (sqrt.f64 x) (-.f64 1 (*.f64 x x))) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (-.f64 1 (*.f64 x x))) (/.f64 (sqrt.f64 x) 1))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (*.f64 x x)))))
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(/.f64 (/.f64 (+.f64 x 1) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 x)))
(/.f64 (/.f64 (+.f64 x (*.f64 x x)) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))
(/.f64 (/.f64 (fma.f64 x x -1) (/.f64 (fma.f64 x x -1) (neg.f64 x))) (+.f64 x -1))
(/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 (fma.f64 x x -1) (neg.f64 x))) (fma.f64 x x (-.f64 1 x)))
(/.f64 (/.f64 (*.f64 (/.f64 (neg.f64 x) (fma.f64 x x -1)) (fma.f64 x x -1)) 1) (+.f64 x -1))
(/.f64 (/.f64 (*.f64 (/.f64 (neg.f64 x) (fma.f64 x x -1)) (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)))
(/.f64 (/.f64 (*.f64 (/.f64 (neg.f64 x) (fma.f64 x x -1)) (fma.f64 x x -1)) (*.f64 (cbrt.f64 (+.f64 x -1)) (cbrt.f64 (+.f64 x -1)))) (cbrt.f64 (+.f64 x -1)))
(/.f64 (/.f64 (*.f64 (/.f64 (neg.f64 x) (fma.f64 x x -1)) (fma.f64 x x -1)) (+.f64 1 (sqrt.f64 x))) (-.f64 (sqrt.f64 x) 1))
(/.f64 (/.f64 (*.f64 (/.f64 (neg.f64 x) (fma.f64 x x -1)) (+.f64 1 (pow.f64 x 3))) 1) (fma.f64 x x (-.f64 1 x)))
(/.f64 (/.f64 (*.f64 (/.f64 (neg.f64 x) (fma.f64 x x -1)) (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (/.f64 (*.f64 (/.f64 (neg.f64 x) (fma.f64 x x -1)) (+.f64 1 (pow.f64 x 3))) (*.f64 (cbrt.f64 (fma.f64 x x (-.f64 1 x))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))
(/.f64 (/.f64 (*.f64 (+.f64 x 1) (neg.f64 x)) 1) (fma.f64 x x -1))
(/.f64 (/.f64 (*.f64 (+.f64 x 1) (neg.f64 x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (*.f64 (+.f64 x 1) (neg.f64 x)) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (neg.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (*.f64 (+.f64 x 1) (neg.f64 x)) (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))
(/.f64 (/.f64 (*.f64 (+.f64 x 1) (neg.f64 x)) (*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)))
(/.f64 (/.f64 (*.f64 (+.f64 x 1) (neg.f64 x)) -1) (-.f64 1 (*.f64 x x)))
(/.f64 (/.f64 (*.f64 (+.f64 x 1) (neg.f64 x)) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(/.f64 (/.f64 (*.f64 (+.f64 x 1) (neg.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(/.f64 (/.f64 (*.f64 x (fma.f64 x x -1)) (-.f64 1 (*.f64 x x))) (+.f64 x -1))
(/.f64 (/.f64 (+.f64 x (pow.f64 x 4)) (-.f64 1 (*.f64 x x))) (fma.f64 x x (-.f64 1 x)))
(/.f64 (/.f64 (/.f64 (+.f64 x (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(/.f64 (/.f64 (/.f64 (+.f64 x (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (/.f64 (+.f64 x (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (/.f64 (+.f64 x (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) (+.f64 x 1))) 1) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) (+.f64 x 1))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))) (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) (+.f64 x 1))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) (+.f64 x 1))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (*.f64 (neg.f64 x) (fma.f64 x x -1)) (fma.f64 x x -1)) (+.f64 x -1))
(/.f64 (/.f64 (*.f64 (neg.f64 x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x -1)) (fma.f64 x x (-.f64 1 x)))
(/.f64 (/.f64 (*.f64 (neg.f64 x) (fma.f64 x x -1)) (+.f64 x -1)) (fma.f64 x x -1))
(/.f64 (/.f64 (*.f64 (neg.f64 x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x))) (fma.f64 x x -1))
(/.f64 (/.f64 (neg.f64 (+.f64 x (*.f64 x x))) 1) (fma.f64 x x -1))
(/.f64 (/.f64 (neg.f64 (+.f64 x (*.f64 x x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (neg.f64 (+.f64 x (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (neg.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (neg.f64 (+.f64 x (*.f64 x x))) (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))
(/.f64 (/.f64 (neg.f64 (+.f64 x (*.f64 x x))) (*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)))
(/.f64 (/.f64 (neg.f64 (+.f64 x (*.f64 x x))) -1) (-.f64 1 (*.f64 x x)))
(/.f64 (/.f64 (neg.f64 (+.f64 x (*.f64 x x))) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(/.f64 (/.f64 (neg.f64 (+.f64 x (*.f64 x x))) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(pow.f64 (/.f64 x (-.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 x (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (/.f64 (neg.f64 x) (fma.f64 x x -1)) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 x))))
(exp.f64 (log.f64 (/.f64 x (-.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 x))))
(fma.f64 x (/.f64 (neg.f64 x) (fma.f64 x x -1)) (/.f64 (neg.f64 x) (fma.f64 x x -1)))
(fma.f64 (/.f64 (neg.f64 x) (fma.f64 x x -1)) x (/.f64 (neg.f64 x) (fma.f64 x x -1)))
Outputs
x
(+.f64 (pow.f64 x 3) x)
(+.f64 x (pow.f64 x 3))
(+.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 3) x))
(+.f64 (+.f64 (pow.f64 x 5) (pow.f64 x 3)) x)
(+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))
(+.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 7) (+.f64 (pow.f64 x 3) x)))
(+.f64 (+.f64 (pow.f64 x 5) (pow.f64 x 7)) (+.f64 x (pow.f64 x 3)))
(+.f64 (+.f64 x (pow.f64 x 3)) (+.f64 (pow.f64 x 7) (pow.f64 x 5)))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 5))))
(+.f64 (+.f64 (/.f64 -1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))) (/.f64 -1 x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 7))))))
(-.f64 (/.f64 -1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 7)))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 5))))
(+.f64 (+.f64 (/.f64 -1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))) (/.f64 -1 x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 7))))))
(-.f64 (/.f64 -1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 7)))))
x
(+.f64 (pow.f64 x 2) x)
(*.f64 (+.f64 x 1) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (+.f64 x (pow.f64 x 3)) (*.f64 x x))
(+.f64 (pow.f64 x 3) (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
(+.f64 (fma.f64 x x (pow.f64 x 4)) (+.f64 x (pow.f64 x 3)))
(+.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 x x (pow.f64 x 4)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) 1) (*.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) (*.f64 x x)))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 x x)))
(/.f64 (+.f64 x (pow.f64 x 3)) (-.f64 1 (pow.f64 x 4)))
(+.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) (*.f64 x x)) (*.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) 1))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 x x)))
(/.f64 (+.f64 x (pow.f64 x 3)) (-.f64 1 (pow.f64 x 4)))
(+.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 x 6))) 1) (*.f64 (/.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 x x) (pow.f64 x 4))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 1 (pow.f64 x 6)))
(+.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 x x) (pow.f64 x 4))) (*.f64 (/.f64 x (-.f64 1 (pow.f64 x 6))) 1))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 1 (pow.f64 x 6)))
(+.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 1 (pow.f64 x 4))) (*.f64 (/.f64 x (-.f64 1 (pow.f64 x 6))) (*.f64 x x)))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 1 (pow.f64 x 6)))
(+.f64 (*.f64 1 (/.f64 x (-.f64 1 (pow.f64 x 4)))) (*.f64 (*.f64 x x) (/.f64 x (-.f64 1 (pow.f64 x 4)))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 x x)))
(/.f64 (+.f64 x (pow.f64 x 3)) (-.f64 1 (pow.f64 x 4)))
(+.f64 (*.f64 (*.f64 x x) (/.f64 x (-.f64 1 (pow.f64 x 4)))) (*.f64 1 (/.f64 x (-.f64 1 (pow.f64 x 4)))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 x x)))
(/.f64 (+.f64 x (pow.f64 x 3)) (-.f64 1 (pow.f64 x 4)))
(+.f64 (*.f64 1 (/.f64 x (-.f64 1 (pow.f64 x 6)))) (*.f64 (+.f64 (*.f64 x x) (pow.f64 x 4)) (/.f64 x (-.f64 1 (pow.f64 x 6)))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 1 (pow.f64 x 6)))
(+.f64 (*.f64 (+.f64 (*.f64 x x) (pow.f64 x 4)) (/.f64 x (-.f64 1 (pow.f64 x 6)))) (*.f64 1 (/.f64 x (-.f64 1 (pow.f64 x 6)))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 1 (pow.f64 x 6)))
(+.f64 (*.f64 (+.f64 1 (pow.f64 x 4)) (/.f64 x (-.f64 1 (pow.f64 x 6)))) (*.f64 (*.f64 x x) (/.f64 x (-.f64 1 (pow.f64 x 6)))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 1 (pow.f64 x 6)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 x) (fma.f64 x x -1)))) 1)
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(*.f64 x (/.f64 -1 (fma.f64 x x -1)))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(*.f64 1 (/.f64 (neg.f64 x) (fma.f64 x x -1)))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(*.f64 (/.f64 (neg.f64 x) (fma.f64 x x -1)) 1)
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 -1 (fma.f64 x x -1))))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(*.f64 (sqrt.f64 (/.f64 (neg.f64 x) (fma.f64 x x -1))) (sqrt.f64 (/.f64 (neg.f64 x) (fma.f64 x x -1))))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 -1 (fma.f64 x x -1))))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(*.f64 (cbrt.f64 (/.f64 (neg.f64 x) (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (/.f64 (neg.f64 x) (fma.f64 x x -1))) 2))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(*.f64 (cbrt.f64 (/.f64 (neg.f64 x) (fma.f64 x x -1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 (neg.f64 x) (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 x) (fma.f64 x x -1))) 2) (cbrt.f64 (/.f64 (neg.f64 x) (fma.f64 x x -1))))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(*.f64 (neg.f64 x) (/.f64 1 (fma.f64 x x -1)))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(*.f64 (+.f64 1 (*.f64 x x)) (/.f64 x (-.f64 1 (pow.f64 x 4))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 x x)))
(/.f64 (+.f64 x (pow.f64 x 3)) (-.f64 1 (pow.f64 x 4)))
(*.f64 (/.f64 -1 (fma.f64 x x -1)) x)
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(*.f64 (+.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 4))) (/.f64 x (-.f64 1 (pow.f64 x 6))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 1 (pow.f64 x 6)))
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 -1 (fma.f64 x x -1))) (sqrt.f64 x))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(*.f64 (*.f64 (cbrt.f64 x) (/.f64 -1 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (neg.f64 x) (fma.f64 x x -1))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (/.f64 x (cbrt.f64 (-.f64 1 (*.f64 x x)))))
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(fma.f64 (/.f64 x (fma.f64 x x -1)) (neg.f64 x) (/.f64 (neg.f64 x) (fma.f64 x x -1)))
(/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x)))
(/.f64 (/.f64 (*.f64 x (fma.f64 x x -1)) (-.f64 1 (*.f64 x x))) (+.f64 x -1))
(/.f64 x (/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 x -1)) (fma.f64 x x -1)))
(*.f64 x (/.f64 (fma.f64 x x -1) (*.f64 (fma.f64 x x -1) (-.f64 1 x))))
(/.f64 (/.f64 (+.f64 x (pow.f64 x 4)) (-.f64 1 (*.f64 x x))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 x (*.f64 (-.f64 1 (*.f64 x x)) (fma.f64 x x (-.f64 1 x)))) (+.f64 (pow.f64 x 3) 1))
(/.f64 (/.f64 (/.f64 (+.f64 x (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(fma.f64 (/.f64 x (fma.f64 x x -1)) (neg.f64 x) (/.f64 (neg.f64 x) (fma.f64 x x -1)))
(/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (+.f64 x (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (*.f64 (+.f64 x 1) x) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (/.f64 (fma.f64 x x x) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (/.f64 (+.f64 x (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (*.f64 (+.f64 x 1) x) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))))
(/.f64 (/.f64 (fma.f64 x x x) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (fabs.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (/.f64 (+.f64 x (*.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(fma.f64 (/.f64 x (fma.f64 x x -1)) (neg.f64 x) (/.f64 (neg.f64 x) (fma.f64 x x -1)))
(/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x)))
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) (+.f64 x 1))) 1) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(fma.f64 (/.f64 x (fma.f64 x x -1)) (neg.f64 x) (/.f64 (neg.f64 x) (fma.f64 x x -1)))
(/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x)))
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(fma.f64 (/.f64 x (fma.f64 x x -1)) (neg.f64 x) (/.f64 (neg.f64 x) (fma.f64 x x -1)))
(/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x)))
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) (+.f64 x 1))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))) (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(fma.f64 (/.f64 x (fma.f64 x x -1)) (neg.f64 x) (/.f64 (neg.f64 x) (fma.f64 x x -1)))
(/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x)))
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) (+.f64 x 1))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (+.f64 x 1)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))))
(/.f64 (/.f64 (fma.f64 x x x) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))))
(/.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2) (+.f64 x 1))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(/.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (+.f64 x 1)) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (/.f64 (fma.f64 x x x) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (/.f64 (*.f64 (neg.f64 x) (fma.f64 x x -1)) (fma.f64 x x -1)) (+.f64 x -1))
(*.f64 (/.f64 1 (*.f64 (/.f64 (fma.f64 x x -1) (neg.f64 x)) (+.f64 x -1))) (fma.f64 x x -1))
(/.f64 (neg.f64 x) (+.f64 x -1))
(/.f64 (/.f64 (*.f64 (neg.f64 x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x -1)) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 1 (*.f64 (/.f64 (fma.f64 x x -1) (neg.f64 x)) (fma.f64 x x (-.f64 1 x)))) (+.f64 (pow.f64 x 3) 1))
(/.f64 (neg.f64 (+.f64 x (pow.f64 x 4))) (*.f64 (fma.f64 x x -1) (fma.f64 x x (-.f64 1 x))))
(/.f64 (/.f64 (*.f64 (neg.f64 x) (fma.f64 x x -1)) (+.f64 x -1)) (fma.f64 x x -1))
(*.f64 (/.f64 1 (*.f64 (/.f64 (fma.f64 x x -1) (neg.f64 x)) (+.f64 x -1))) (fma.f64 x x -1))
(/.f64 (neg.f64 x) (+.f64 x -1))
(/.f64 (/.f64 (*.f64 (neg.f64 x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x))) (fma.f64 x x -1))
(*.f64 (/.f64 1 (*.f64 (/.f64 (fma.f64 x x -1) (neg.f64 x)) (fma.f64 x x (-.f64 1 x)))) (+.f64 (pow.f64 x 3) 1))
(/.f64 (neg.f64 (+.f64 x (pow.f64 x 4))) (*.f64 (fma.f64 x x -1) (fma.f64 x x (-.f64 1 x))))
(/.f64 (/.f64 (neg.f64 (+.f64 x (*.f64 x x))) 1) (fma.f64 x x -1))
(fma.f64 (/.f64 x (fma.f64 x x -1)) (neg.f64 x) (/.f64 (neg.f64 x) (fma.f64 x x -1)))
(/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x)))
(/.f64 (/.f64 (neg.f64 (+.f64 x (*.f64 x x))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(fma.f64 (/.f64 x (fma.f64 x x -1)) (neg.f64 x) (/.f64 (neg.f64 x) (fma.f64 x x -1)))
(/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x)))
(/.f64 (/.f64 (neg.f64 (+.f64 x (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2)) (neg.f64 (cbrt.f64 (-.f64 1 (*.f64 x x)))))
(fma.f64 (/.f64 x (fma.f64 x x -1)) (neg.f64 x) (/.f64 (neg.f64 x) (fma.f64 x x -1)))
(/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x)))
(/.f64 (/.f64 (neg.f64 (+.f64 x (*.f64 x x))) (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (/.f64 x (fma.f64 x x -1)) (neg.f64 x) (/.f64 (neg.f64 x) (fma.f64 x x -1)))
(/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x)))
(/.f64 (/.f64 (neg.f64 (+.f64 x (*.f64 x x))) (*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)))
(fma.f64 (/.f64 x (fma.f64 x x -1)) (neg.f64 x) (/.f64 (neg.f64 x) (fma.f64 x x -1)))
(/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x)))
(/.f64 (/.f64 (neg.f64 (+.f64 x (*.f64 x x))) -1) (-.f64 1 (*.f64 x x)))
(fma.f64 (/.f64 x (fma.f64 x x -1)) (neg.f64 x) (/.f64 (neg.f64 x) (fma.f64 x x -1)))
(/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x)))
(/.f64 (/.f64 (neg.f64 (+.f64 x (*.f64 x x))) (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(fma.f64 (/.f64 x (fma.f64 x x -1)) (neg.f64 x) (/.f64 (neg.f64 x) (fma.f64 x x -1)))
(/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x)))
(/.f64 (/.f64 (neg.f64 (+.f64 x (*.f64 x x))) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) 2))) (cbrt.f64 (-.f64 1 (*.f64 x x))))
(fma.f64 (/.f64 x (fma.f64 x x -1)) (neg.f64 x) (/.f64 (neg.f64 x) (fma.f64 x x -1)))
(/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x)))
(pow.f64 (/.f64 x (-.f64 1 x)) 1)
(/.f64 x (-.f64 1 x))
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) 2)
(/.f64 x (-.f64 1 x))
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 3)
(/.f64 x (-.f64 1 x))
(pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 1/3)
(/.f64 x (-.f64 1 x))
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2))
(fabs.f64 (/.f64 x (-.f64 1 x)))
(log.f64 (exp.f64 (/.f64 x (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 1 x)))))
(/.f64 x (-.f64 1 x))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
(/.f64 x (-.f64 1 x))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (/.f64 (neg.f64 x) (fma.f64 x x -1)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (neg.f64 x) (fma.f64 x x -1)) 3) (pow.f64 (+.f64 x 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(exp.f64 (log.f64 (/.f64 x (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(fma.f64 x (/.f64 (neg.f64 x) (fma.f64 x x -1)) (/.f64 (neg.f64 x) (fma.f64 x x -1)))
(fma.f64 (/.f64 x (fma.f64 x x -1)) (neg.f64 x) (/.f64 (neg.f64 x) (fma.f64 x x -1)))
(/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x)))
(fma.f64 (/.f64 (neg.f64 x) (fma.f64 x x -1)) x (/.f64 (neg.f64 x) (fma.f64 x x -1)))
(fma.f64 (/.f64 x (fma.f64 x x -1)) (neg.f64 x) (/.f64 (neg.f64 x) (fma.f64 x x -1)))
(/.f64 (fma.f64 x x x) (-.f64 1 (*.f64 x x)))

localize16.0ms (0.8%)

Local error

Found 2 expressions with local error:

NewErrorProgram
4.3b
(/.f64 x (-.f64 1 (pow.f64 x 3)))
15.5b
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
Compiler

Compiled 43 to 25 computations (41.9% saved)

series2.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/.f64 x (-.f64 1 (pow.f64 x 3)))
0.0ms
x
@-inf
(/.f64 x (-.f64 1 (pow.f64 x 3)))
0.0ms
x
@0
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
0.0ms
x
@-inf
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
0.0ms
x
@0
(/.f64 x (-.f64 1 (pow.f64 x 3)))

rewrite99.0ms (4.8%)

Algorithm
batch-egg-rewrite
Rules
1414×associate-/r*
1150×distribute-lft-in
1032×associate-/l*
712×associate-/r/
312×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01258
127158
2366858
Stop Event
node limit
Counts
2 → 248
Calls
Call 1
Inputs
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(/.f64 x (-.f64 1 (pow.f64 x 3)))
Outputs
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simplify123.0ms (5.9%)

Algorithm
egg-herbie
Rules
1318×associate-/l*
872×associate-*r*
830×associate-/r*
812×associate-/l/
806×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
070716698
1208515794
Stop Event
node limit
Counts
272 → 406
Calls
Call 1
Inputs
x
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
x
(+.f64 (pow.f64 x 4) x)
(+.f64 (pow.f64 x 7) (+.f64 (pow.f64 x 4) x))
(+.f64 (pow.f64 x 10) (+.f64 (pow.f64 x 7) (+.f64 (pow.f64 x 4) x)))
(/.f64 -1 (pow.f64 x 2))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 8)) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 11))))))
(/.f64 -1 (pow.f64 x 2))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 8)) (/.f64 1 (pow.f64 x 2)))))
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(*.f64 (/.f64 x 1) (/.f64 1 (-.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 6))) (*.f64 x (+.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 9))) (+.f64 x (*.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 6)))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 9))) (+.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x 6))))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (neg.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 (sqrt.f64 x) (-.f64 1 (pow.f64 x 3))) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (pow.f64 x 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (pow.f64 x 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3))) 2)) (cbrt.f64 (/.f64 x (-.f64 1 (pow.f64 x 3)))))
(*.f64 (/.f64 (/.f64 x 1) 1) (/.f64 1 (-.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (pow.f64 x 3))) (cbrt.f64 x))
(*.f64 (/.f64 x (neg.f64 (-.f64 1 (pow.f64 x 6)))) (neg.f64 (+.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 x (neg.f64 (-.f64 1 (pow.f64 x 9)))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x 6)))))
(*.f64 (/.f64 x (-.f64 1 (*.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (pow.f64 x 3))))) (+.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (neg.f64 (pow.f64 x 3)) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (pow.f64 x 3))) (neg.f64 (pow.f64 x 3)))))
(*.f64 (/.f64 1 (/.f64 (-.f64 1 (pow.f64 x 3)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (-.f64 1 (pow.f64 x 6)))) (+.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (-.f64 1 (pow.f64 x 9)))) (+.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x 6))))
(*.f64 (/.f64 (*.f64 (neg.f64 x) 1) (neg.f64 (-.f64 1 (pow.f64 x 6)))) (+.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 (*.f64 (neg.f64 x) 1) (neg.f64 (-.f64 1 (pow.f64 x 9)))) (+.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x 6))))
(*.f64 (/.f64 (/.f64 x 1) (neg.f64 (-.f64 1 (pow.f64 x 6)))) (neg.f64 (+.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 (/.f64 x 1) (neg.f64 (-.f64 1 (pow.f64 x 9)))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x 6)))))
(*.f64 (/.f64 (/.f64 x 1) (-.f64 1 (*.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (pow.f64 x 3))))) (+.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 (/.f64 x 1) (+.f64 1 (pow.f64 (neg.f64 (pow.f64 x 3)) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (pow.f64 x 3))) (neg.f64 (pow.f64 x 3)))))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 (-.f64 1 (pow.f64 x 9)))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x 6)))))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 (-.f64 1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 x 9)))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x 6)))))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 x 6)))) (cbrt.f64 (+.f64 1 (pow.f64 x 3))))
(pow.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) 1)
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 (pow.f64 x 3)))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (pow.f64 x 3)))) 3)
(pow.f64 (pow.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) 3) 1/3)
(pow.f64 (/.f64 (-.f64 1 (pow.f64 x 3)) x) -1)
(neg.f64 (/.f64 x (+.f64 -1 (pow.f64 x 3))))
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) 2))
(log.f64 (exp.f64 (/.f64 x (-.f64 1 (pow.f64 x 3)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))))))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (pow.f64 x 3)) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 (pow.f64 x 3)))))
(exp.f64 (log.f64 (/.f64 x (-.f64 1 (pow.f64 x 3)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1 (pow.f64 x 3)))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 (pow.f64 x 3)))))
Outputs
x
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (*.f64 x x) (+.f64 x (pow.f64 x 3)))
(+.f64 (pow.f64 x 3) (fma.f64 x x x))
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
(+.f64 (*.f64 x x) (+.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4)))
(+.f64 (+.f64 (pow.f64 x 3) (fma.f64 x x x)) (pow.f64 x 4))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(-.f64 -1 (/.f64 1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(-.f64 -1 (/.f64 1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
x
(+.f64 (pow.f64 x 4) x)
(+.f64 x (pow.f64 x 4))
(+.f64 (pow.f64 x 7) (+.f64 (pow.f64 x 4) x))
(+.f64 (+.f64 x (pow.f64 x 4)) (pow.f64 x 7))
(+.f64 (pow.f64 x 4) (+.f64 x (pow.f64 x 7)))
(+.f64 (pow.f64 x 10) (+.f64 (pow.f64 x 7) (+.f64 (pow.f64 x 4) x)))
(+.f64 (+.f64 (pow.f64 x 10) (pow.f64 x 7)) (+.f64 x (pow.f64 x 4)))
(+.f64 (+.f64 (+.f64 (pow.f64 x 7) (pow.f64 x 10)) x) (pow.f64 x 4))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 5))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 8)) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 8)))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 8)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 11))))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 11))))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 11)))) (/.f64 1 (pow.f64 x 8))))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 5))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 8)) (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 8)))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 8)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 11))))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 8)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 11))))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 11)))) (/.f64 1 (pow.f64 x 8))))
(+.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (/.f64 (*.f64 (fma.f64 x x x) x) (-.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (/.f64 (*.f64 x (fma.f64 x x x)) (-.f64 1 (pow.f64 x 3))))
(/.f64 (*.f64 x (+.f64 1 (fma.f64 x x x))) (-.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (*.f64 (/.f64 (*.f64 (fma.f64 x x x) x) (-.f64 1 (pow.f64 x 3))) 1))
(+.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (/.f64 (*.f64 x (fma.f64 x x x)) (-.f64 1 (pow.f64 x 3))))
(/.f64 (*.f64 x (+.f64 1 (fma.f64 x x x))) (-.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (*.f64 1 (*.f64 (/.f64 (*.f64 (fma.f64 x x x) x) (-.f64 1 (pow.f64 x 3))) 1)))
(+.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (/.f64 (*.f64 x (fma.f64 x x x)) (-.f64 1 (pow.f64 x 3))))
(/.f64 (*.f64 x (+.f64 1 (fma.f64 x x x))) (-.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 (*.f64 (fma.f64 x x x) x) (-.f64 1 (pow.f64 x 3))) (/.f64 x (-.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (/.f64 (*.f64 x (fma.f64 x x x)) (-.f64 1 (pow.f64 x 3))))
(/.f64 (*.f64 x (+.f64 1 (fma.f64 x x x))) (-.f64 1 (pow.f64 x 3)))
(+.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (*.f64 x x)) (+.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) x) (/.f64 x (-.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (/.f64 (*.f64 x (fma.f64 x x x)) (-.f64 1 (pow.f64 x 3))))
(/.f64 (*.f64 x (+.f64 1 (fma.f64 x x x))) (-.f64 1 (pow.f64 x 3)))
(+.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (*.f64 x x)) (*.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (+.f64 x 1)))
(+.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (/.f64 (*.f64 x (fma.f64 x x x)) (-.f64 1 (pow.f64 x 3))))
(/.f64 (*.f64 x (+.f64 1 (fma.f64 x x x))) (-.f64 1 (pow.f64 x 3)))
(+.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x x x) x) (-.f64 1 (pow.f64 x 3))) 1) (/.f64 x (-.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (/.f64 (*.f64 x (fma.f64 x x x)) (-.f64 1 (pow.f64 x 3))))
(/.f64 (*.f64 x (+.f64 1 (fma.f64 x x x))) (-.f64 1 (pow.f64 x 3)))
(+.f64 (*.f64 (*.f64 x x) (/.f64 x (-.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 x (/.f64 x (-.f64 1 (pow.f64 x 3)))) (/.f64 x (-.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (/.f64 (*.f64 x (fma.f64 x x x)) (-.f64 1 (pow.f64 x 3))))
(/.f64 (*.f64 x (+.f64 1 (fma.f64 x x x))) (-.f64 1 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (*.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (*.f64 x x))) (*.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) x))
(+.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (/.f64 (*.f64 x (fma.f64 x x x)) (-.f64 1 (pow.f64 x 3))))
(/.f64 (*.f64 x (+.f64 1 (fma.f64 x x x))) (-.f64 1 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (*.f64 (*.f64 x x) (/.f64 x (-.f64 1 (pow.f64 x 3))))) (*.f64 x (/.f64 x (-.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (/.f64 (*.f64 x (fma.f64 x x x)) (-.f64 1 (pow.f64 x 3))))
(/.f64 (*.f64 x (+.f64 1 (fma.f64 x x x))) (-.f64 1 (pow.f64 x 3)))
(+.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (+.f64 1 (*.f64 x x))) (*.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) x))
(+.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (/.f64 (*.f64 x (fma.f64 x x x)) (-.f64 1 (pow.f64 x 3))))
(/.f64 (*.f64 x (+.f64 1 (fma.f64 x x x))) (-.f64 1 (pow.f64 x 3)))
(+.f64 (*.f64 (/.f64 x (/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x x)))) 1) (*.f64 (/.f64 x (/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x x)))) (pow.f64 x 3)))
(*.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x x))) (+.f64 (pow.f64 x 3) 1))
(*.f64 (*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 x (-.f64 1 (pow.f64 x 6)))) (+.f64 (pow.f64 x 3) 1))
(+.f64 (*.f64 (/.f64 x (/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x x)))) (pow.f64 x 3)) (*.f64 (/.f64 x (/.f64 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x x)))) 1))
(*.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 x 6))) (+.f64 1 (fma.f64 x x x))) (+.f64 (pow.f64 x 3) 1))
(*.f64 (*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 x (-.f64 1 (pow.f64 x 6)))) (+.f64 (pow.f64 x 3) 1))
(+.f64 (*.f64 (/.f64 x (/.f64 (-.f64 1 (pow.f64 x 9)) (+.f64 1 (fma.f64 x x x)))) 1) (*.f64 (/.f64 x (/.f64 (-.f64 1 (pow.f64 x 9)) (+.f64 1 (fma.f64 x x x)))) (+.f64 (pow.f64 x 3) (pow.f64 x 6))))
(*.f64 (/.f64 x (/.f64 (-.f64 1 (pow.f64 x 9)) (+.f64 1 (fma.f64 x x x)))) (+.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x 6))))
(*.f64 (/.f64 (*.f64 x (+.f64 1 (fma.f64 x x x))) (-.f64 1 (pow.f64 x 9))) (+.f64 (pow.f64 x 3) (+.f64 1 (pow.f64 x 6))))
(+.f64 (*.f64 (/.f64 x (/.f64 (-.f64 1 (pow.f64 x 9)) (+.f64 1 (fma.f64 x x x)))) (+.f64 (pow.f64 x 3) (pow.f64 x 6))) (*.f64 (/.f64 x (/.f64 (-.f64 1 (pow.f64 x 9)) (+.f64 1 (fma.f64 x x x)))) 1))
(*.f64 (/.f64 x (/.f64 (-.f64 1 (pow.f64 x 9)) (+.f64 1 (fma.f64 x x x)))) (+.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x 6))))
(*.f64 (/.f64 (*.f64 x (+.f64 1 (fma.f64 x x x))) (-.f64 1 (pow.f64 x 9))) (+.f64 (pow.f64 x 3) (+.f64 1 (pow.f64 x 6))))
(+.f64 (*.f64 (/.f64 x (/.f64 (-.f64 1 (pow.f64 x 9)) (+.f64 1 (fma.f64 x x x)))) (+.f64 1 (pow.f64 x 6))) (*.f64 (/.f64 x (/.f64 (-.f64 1 (pow.f64 x 9)) (+.f64 1 (fma.f64 x x x)))) (pow.f64 x 3)))
(*.f64 (/.f64 x (/.f64 (-.f64 1 (pow.f64 x 9)) (+.f64 1 (fma.f64 x x x)))) (+.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x 6))))
(*.f64 (/.f64 (*.f64 x (+.f64 1 (fma.f64 x x x))) (-.f64 1 (pow.f64 x 9))) (+.f64 (pow.f64 x 3) (+.f64 1 (pow.f64 x 6))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))))) (-.f64 1 (/.f64 (*.f64 (fma.f64 x x x) x) (-.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (/.f64 (*.f64 x (fma.f64 x x x)) (-.f64 1 (pow.f64 x 3))))
(/.f64 (*.f64 x (+.f64 1 (fma.f64 x x x))) (-.f64 1 (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))))) (-.f64 1 (*.f64 (/.f64 (*.f64 (fma.f64 x x x) x) (-.f64 1 (pow.f64 x 3))) 1)))
(+.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (/.f64 (*.f64 x (fma.f64 x x x)) (-.f64 1 (pow.f64 x 3))))
(/.f64 (*.f64 x (+.f64 1 (fma.f64 x x x))) (-.f64 1 (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x))))) 1)
(+.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (/.f64 (*.f64 x (fma.f64 x x x)) (-.f64 1 (pow.f64 x 3))))
(/.f64 (*.f64 x (+.f64 1 (fma.f64 x x x))) (-.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 (*.f64 (fma.f64 x x x) x) (-.f64 1 (pow.f64 x 3))) (exp.f64 (log1p.f64 (/.f64 x (-.f64 1 (pow.f64 x 3)))))) 1)
(+.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (/.f64 (*.f64 x (fma.f64 x x x)) (-.f64 1 (pow.f64 x 3))))
(/.f64 (*.f64 x (+.f64 1 (fma.f64 x x x))) (-.f64 1 (pow.f64 x 3)))
(/.f64 x (/.f64 (-.f64 1 (pow.f64 x 3)) (+.f64 1 (fma.f64 x x x))))
(+.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (/.f64 (*.f64 x (fma.f64 x x x)) (-.f64 1 (pow.f64 x 3))))
(/.f64 (*.f64 x (+.f64 1 (fma.f64 x x x))) (-.f64 1 (pow.f64 x 3)))
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(*.f64 (+.f64 (pow.f64 x 3) 1) (/.f64 x (-.f64 1 (pow.f64 x 6))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 9))) (+.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x 6))))
(*.f64 (+.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x 6))) (/.f64 x (-.f64 1 (pow.f64 x 9))))
(*.f64 (+.f64 (pow.f64 x 3) (+.f64 1 (pow.f64 x 6))) (/.f64 x (-.f64 1 (pow.f64 x 9))))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (neg.f64 x))
(/.f64 (neg.f64 x) (+.f64 (pow.f64 x 3) -1))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 1 (pow.f64 x 3))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (-.f64 1 (pow.f64 x 3))))
(/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (-.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 (sqrt.f64 x) (-.f64 1 (pow.f64 x 3))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (-.f64 1 (pow.f64 x 3))))
(/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (-.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 1 (pow.f64 x 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 1 (pow.f64 x 3))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)) (-.f64 1 (pow.f64 x 3)))
(*.f64 (cbrt.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 1 (pow.f64 x 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3))) 2)) (cbrt.f64 (/.f64 x (-.f64 1 (pow.f64 x 3)))))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 (pow.f64 x 3)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3))) 2)))
(*.f64 (/.f64 (/.f64 x 1) 1) (/.f64 1 (-.f64 1 (pow.f64 x 3))))
(/.f64 x (-.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (pow.f64 x 3))) (cbrt.f64 x))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)) (-.f64 1 (pow.f64 x 3)))
(*.f64 (cbrt.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 x (neg.f64 (-.f64 1 (pow.f64 x 6)))) (neg.f64 (+.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 x (neg.f64 (-.f64 1 (pow.f64 x 6)))) (+.f64 -1 (neg.f64 (pow.f64 x 3))))
(*.f64 (/.f64 x (+.f64 -1 (pow.f64 x 6))) (-.f64 -1 (pow.f64 x 3)))
(*.f64 (/.f64 x (neg.f64 (-.f64 1 (pow.f64 x 9)))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x 6)))))
(*.f64 (/.f64 x (neg.f64 (-.f64 1 (pow.f64 x 9)))) (+.f64 -1 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)))))
(*.f64 (/.f64 x (+.f64 -1 (pow.f64 x 9))) (-.f64 (-.f64 -1 (pow.f64 x 3)) (pow.f64 x 6)))
(*.f64 (/.f64 x (-.f64 1 (*.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (pow.f64 x 3))))) (+.f64 1 (pow.f64 x 3)))
(*.f64 (+.f64 (pow.f64 x 3) 1) (/.f64 x (-.f64 1 (pow.f64 x 6))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (neg.f64 (pow.f64 x 3)) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (pow.f64 x 3))) (neg.f64 (pow.f64 x 3)))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (neg.f64 (pow.f64 x 3)) 3))) (+.f64 1 (-.f64 (pow.f64 x 6) (neg.f64 (pow.f64 x 3)))))
(/.f64 (*.f64 x (-.f64 (pow.f64 x 6) (-.f64 -1 (pow.f64 x 3)))) (+.f64 1 (pow.f64 (neg.f64 (pow.f64 x 3)) 3)))
(*.f64 (/.f64 1 (/.f64 (-.f64 1 (pow.f64 x 3)) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 1 (pow.f64 x 3)))))
(/.f64 (*.f64 1 (cbrt.f64 x)) (/.f64 (-.f64 1 (pow.f64 x 3)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (-.f64 1 (pow.f64 x 6)))) (+.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 x (neg.f64 (-.f64 1 (pow.f64 x 6)))) (+.f64 -1 (neg.f64 (pow.f64 x 3))))
(*.f64 (/.f64 x (+.f64 -1 (pow.f64 x 6))) (-.f64 -1 (pow.f64 x 3)))
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (-.f64 1 (pow.f64 x 9)))) (+.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x 6))))
(*.f64 (/.f64 x (neg.f64 (-.f64 1 (pow.f64 x 9)))) (+.f64 -1 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)))))
(*.f64 (/.f64 x (+.f64 -1 (pow.f64 x 9))) (-.f64 (-.f64 -1 (pow.f64 x 3)) (pow.f64 x 6)))
(*.f64 (/.f64 (*.f64 (neg.f64 x) 1) (neg.f64 (-.f64 1 (pow.f64 x 6)))) (+.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 x (neg.f64 (-.f64 1 (pow.f64 x 6)))) (+.f64 -1 (neg.f64 (pow.f64 x 3))))
(*.f64 (/.f64 x (+.f64 -1 (pow.f64 x 6))) (-.f64 -1 (pow.f64 x 3)))
(*.f64 (/.f64 (*.f64 (neg.f64 x) 1) (neg.f64 (-.f64 1 (pow.f64 x 9)))) (+.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x 6))))
(*.f64 (/.f64 x (neg.f64 (-.f64 1 (pow.f64 x 9)))) (+.f64 -1 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)))))
(*.f64 (/.f64 x (+.f64 -1 (pow.f64 x 9))) (-.f64 (-.f64 -1 (pow.f64 x 3)) (pow.f64 x 6)))
(*.f64 (/.f64 (/.f64 x 1) (neg.f64 (-.f64 1 (pow.f64 x 6)))) (neg.f64 (+.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 x (neg.f64 (-.f64 1 (pow.f64 x 6)))) (+.f64 -1 (neg.f64 (pow.f64 x 3))))
(*.f64 (/.f64 x (+.f64 -1 (pow.f64 x 6))) (-.f64 -1 (pow.f64 x 3)))
(*.f64 (/.f64 (/.f64 x 1) (neg.f64 (-.f64 1 (pow.f64 x 9)))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x 6)))))
(*.f64 (/.f64 x (neg.f64 (-.f64 1 (pow.f64 x 9)))) (+.f64 -1 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)))))
(*.f64 (/.f64 x (+.f64 -1 (pow.f64 x 9))) (-.f64 (-.f64 -1 (pow.f64 x 3)) (pow.f64 x 6)))
(*.f64 (/.f64 (/.f64 x 1) (-.f64 1 (*.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (pow.f64 x 3))))) (+.f64 1 (pow.f64 x 3)))
(*.f64 (+.f64 (pow.f64 x 3) 1) (/.f64 x (-.f64 1 (pow.f64 x 6))))
(*.f64 (/.f64 (/.f64 x 1) (+.f64 1 (pow.f64 (neg.f64 (pow.f64 x 3)) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (pow.f64 x 3))) (neg.f64 (pow.f64 x 3)))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (neg.f64 (pow.f64 x 3)) 3))) (+.f64 1 (-.f64 (pow.f64 x 6) (neg.f64 (pow.f64 x 3)))))
(/.f64 (*.f64 x (-.f64 (pow.f64 x 6) (-.f64 -1 (pow.f64 x 3)))) (+.f64 1 (pow.f64 (neg.f64 (pow.f64 x 3)) 3)))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 (-.f64 1 (pow.f64 x 9)))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x 6)))))
(*.f64 (/.f64 x (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 9))) (sqrt.f64 (-.f64 1 (pow.f64 x 3))))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x 6)))))
(*.f64 (/.f64 x (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (sqrt.f64 (-.f64 1 (pow.f64 x 9))))) (sqrt.f64 (+.f64 (pow.f64 x 3) (+.f64 1 (pow.f64 x 6)))))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 (-.f64 1 (pow.f64 x 6)))) (sqrt.f64 (+.f64 1 (pow.f64 x 3))))
(/.f64 (*.f64 (/.f64 x (sqrt.f64 (-.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 (pow.f64 x 3) 1))) (sqrt.f64 (-.f64 1 (pow.f64 x 6))))
(*.f64 (/.f64 x (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 3))) (sqrt.f64 (-.f64 1 (pow.f64 x 6))))) (sqrt.f64 (+.f64 (pow.f64 x 3) 1)))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 x 9)))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x 6)))))
(*.f64 (/.f64 x (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 9))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3))) 2))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x 6)))))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 x 9)))) (cbrt.f64 (+.f64 (pow.f64 x 3) (+.f64 1 (pow.f64 x 6)))))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 x 6)))) (cbrt.f64 (+.f64 1 (pow.f64 x 3))))
(/.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3))) 2)) (cbrt.f64 (+.f64 (pow.f64 x 3) 1))) (cbrt.f64 (-.f64 1 (pow.f64 x 6))))
(*.f64 (/.f64 (/.f64 x (cbrt.f64 (-.f64 1 (pow.f64 x 6)))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x 3))) 2)) (cbrt.f64 (+.f64 (pow.f64 x 3) 1)))
(pow.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) 1)
(/.f64 x (-.f64 1 (pow.f64 x 3)))
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 (pow.f64 x 3)))) 2)
(/.f64 x (-.f64 1 (pow.f64 x 3)))
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 (pow.f64 x 3)))) 3)
(/.f64 x (-.f64 1 (pow.f64 x 3)))
(pow.f64 (pow.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) 3) 1/3)
(/.f64 x (-.f64 1 (pow.f64 x 3)))
(pow.f64 (/.f64 (-.f64 1 (pow.f64 x 3)) x) -1)
(/.f64 x (-.f64 1 (pow.f64 x 3)))
(neg.f64 (/.f64 x (+.f64 -1 (pow.f64 x 3))))
(/.f64 (neg.f64 x) (+.f64 (pow.f64 x 3) -1))
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) 2))
(log.f64 (exp.f64 (/.f64 x (-.f64 1 (pow.f64 x 3)))))
(/.f64 x (-.f64 1 (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))))))
(/.f64 x (-.f64 1 (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) 3))
(/.f64 x (-.f64 1 (pow.f64 x 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 1 (pow.f64 x 3)) 3)))
(/.f64 x (-.f64 1 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 (pow.f64 x 3)))))
(/.f64 x (-.f64 1 (pow.f64 x 3)))
(exp.f64 (log.f64 (/.f64 x (-.f64 1 (pow.f64 x 3)))))
(/.f64 x (-.f64 1 (pow.f64 x 3)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1 (pow.f64 x 3)))) 1))
(/.f64 x (-.f64 1 (pow.f64 x 3)))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 (pow.f64 x 3)))))
(/.f64 x (-.f64 1 (pow.f64 x 3)))

eval276.0ms (13.4%)

Compiler

Compiled 17610 to 10865 computations (38.3% saved)

prune129.0ms (6.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New7552757
Fresh022
Picked101
Done112
Total7575762
Error
0b
Counts
762 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(/.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 x))
0.0b
(/.f64 x (-.f64 1 x))
30.8b
(*.f64 (+.f64 x 1) x)
30.2b
x
32.3b
-1
Compiler

Compiled 26 to 19 computations (26.9% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 x 1) x)
Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

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

rewrite48.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
1218×add-sqr-sqrt
1202×*-un-lft-identity
1122×add-cube-cbrt
1108×add-cbrt-cube
1098×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
112313
2153213
Stop Event
node limit
Counts
1 → 17
Calls
Call 1
Inputs
(*.f64 (+.f64 x 1) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (*.f64 x 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 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) x) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) x) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 x x))))))))

simplify49.0ms (2.4%)

Algorithm
egg-herbie
Rules
1078×fma-def
1052×distribute-lft-out
970×associate-/l*
960×*-commutative
564×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053319
1126303
2360303
31930303
44147303
Stop Event
node limit
Counts
29 → 26
Calls
Call 1
Inputs
x
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(+.f64 (*.f64 x x) x)
(-.f64 (+.f64 1 (+.f64 x (*.f64 x x))) 1)
(/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 x -1))
(/.f64 (*.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(/.f64 (*.f64 (fma.f64 x x -1) x) (+.f64 x -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) x) (fma.f64 x x (-.f64 1 x)))
(pow.f64 (+.f64 x (*.f64 x x)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 x x))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 x x))) 3)
(pow.f64 (pow.f64 (+.f64 x (*.f64 x x)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 x x)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x 1)))
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 x x))))
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 x x))))
Outputs
x
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (*.f64 x x) x)
(fma.f64 x x x)
(-.f64 (+.f64 1 (+.f64 x (*.f64 x x))) 1)
(fma.f64 x x x)
(/.f64 (*.f64 x (fma.f64 x x -1)) (+.f64 x -1))
(fma.f64 x x x)
(/.f64 (*.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 (fma.f64 x x (-.f64 1 x)) x))
(/.f64 (+.f64 x (pow.f64 x 4)) (fma.f64 x x (-.f64 1 x)))
(/.f64 (+.f64 x (pow.f64 x 4)) (-.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 (fma.f64 x x -1) x) (+.f64 x -1))
(fma.f64 x x x)
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) x) (fma.f64 x x (-.f64 1 x)))
(/.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 (fma.f64 x x (-.f64 1 x)) x))
(/.f64 (+.f64 x (pow.f64 x 4)) (fma.f64 x x (-.f64 1 x)))
(/.f64 (+.f64 x (pow.f64 x 4)) (-.f64 (fma.f64 x x 1) x))
(pow.f64 (+.f64 x (*.f64 x x)) 1)
(fma.f64 x x x)
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 x x))) 2)
(fma.f64 x x x)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 x x))) 3)
(fma.f64 x x x)
(pow.f64 (pow.f64 (+.f64 x (*.f64 x x)) 3) 1/3)
(fma.f64 x x x)
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 x x)) 2))
(fma.f64 x x x)
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x 1)))
(fma.f64 x x x)
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 x x)) 3))
(fma.f64 x x x)
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 x x))))
(fma.f64 x x x)
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 x)))
(*.f64 x (exp.f64 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 x x))))
(fma.f64 x x x)

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (-.f64 1 x))
0.1b
(/.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 x))
Compiler

Compiled 23 to 17 computations (26.1% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite62.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
1914×add-sqr-sqrt
1894×*-un-lft-identity
1774×add-cube-cbrt
1754×add-cbrt-cube
180×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0838
118226
2251126
Stop Event
node limit
Counts
2 → 60
Calls
Call 1
Inputs
(/.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 x))
(/.f64 1 (-.f64 1 x))
Outputs
((#(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 1 (-.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 x)) 1)))) (#(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 (pow.f64 (-.f64 1 x) -1/2) (*.f64 (pow.f64 (-.f64 1 x) -1/2) 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 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 1 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (-.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (-.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 x -1/2)) (/.f64 (/.f64 1 (-.f64 1 x)) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (-.f64 1 x)) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (-.f64 1 x) -1/2) 1) (/.f64 (pow.f64 (-.f64 1 x) -1/2) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (-.f64 1 x) -1/2) (cbrt.f64 (pow.f64 x -2))) (/.f64 (pow.f64 (-.f64 1 x) -1/2) (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) 1) (/.f64 (cbrt.f64 (/.f64 1 (-.f64 1 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (pow.f64 x -1/2)) (/.f64 (cbrt.f64 (/.f64 1 (-.f64 1 x))) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 x (-.f64 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 (sqrt.f64 (/.f64 x (-.f64 1 x))) 2)))) (#(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 (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 (/.f64 1 (-.f64 1 x)) (/.f64 -1 x)))))) (#(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 expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 x) -1/2) (pow.f64 (-.f64 1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (-.f64 1 x))) (cbrt.f64 (pow.f64 (-.f64 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (cbrt.f64 (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (-.f64 1 x)) -1) (pow.f64 (sqrt.f64 (-.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 x))))))))

simplify53.0ms (2.6%)

Algorithm
egg-herbie
Rules
1034×associate-/r*
818×associate-/l/
764×times-frac
726×*-commutative
614×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01761760
14731664
222661638
Stop Event
node limit
Counts
84 → 122
Calls
Call 1
Inputs
x
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (pow.f64 x 2) x))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x)))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 1 x)))) 1)
(*.f64 1 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 1 (-.f64 1 x)))
(*.f64 (/.f64 1 (-.f64 1 x)) x)
(*.f64 (/.f64 x (-.f64 1 x)) 1)
(*.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) (sqrt.f64 (/.f64 x (-.f64 1 x))))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (*.f64 (pow.f64 (-.f64 1 x) -1/2) x))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 2) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 x))) x))
(*.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 1 (/.f64 -1 x)))
(*.f64 (*.f64 (/.f64 1 (-.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (/.f64 1 (-.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (/.f64 1 (pow.f64 x -1/2)) (/.f64 (/.f64 1 (-.f64 1 x)) (pow.f64 x -1/2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (cbrt.f64 x))))
(*.f64 (/.f64 (/.f64 1 (-.f64 1 x)) -1) (neg.f64 x))
(*.f64 (/.f64 (pow.f64 (-.f64 1 x) -1/2) 1) (/.f64 (pow.f64 (-.f64 1 x) -1/2) (/.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (-.f64 1 x) -1/2) (cbrt.f64 (pow.f64 x -2))) (/.f64 (pow.f64 (-.f64 1 x) -1/2) (/.f64 1 (cbrt.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) 1) (/.f64 (cbrt.f64 (/.f64 1 (-.f64 1 x))) (/.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (pow.f64 x -1/2)) (/.f64 (cbrt.f64 (/.f64 1 (-.f64 1 x))) (pow.f64 x -1/2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(pow.f64 (/.f64 x (-.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 1 x) x) -1)
(neg.f64 (/.f64 (/.f64 1 (-.f64 1 x)) (/.f64 -1 x)))
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 x (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 x))))
(exp.f64 (log.f64 (/.f64 x (-.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1 x)))) 1)
(*.f64 1 (/.f64 1 (-.f64 1 x)))
(*.f64 (/.f64 1 (-.f64 1 x)) 1)
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (pow.f64 (-.f64 1 x) -1/2))
(*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 x))) (cbrt.f64 (pow.f64 (-.f64 1 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (cbrt.f64 (/.f64 1 (-.f64 1 x))))
(*.f64 -1 (/.f64 -1 (-.f64 1 x)))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (+.f64 1 x))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1 x)) -1) (pow.f64 (sqrt.f64 (-.f64 1 x)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 1 x)) -1))
(pow.f64 (-.f64 1 x) -1)
(pow.f64 (/.f64 1 (-.f64 1 x)) 1)
(pow.f64 (pow.f64 (-.f64 1 x) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (-.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1 x) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 x))))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 x))))
Outputs
x
(+.f64 (pow.f64 x 2) x)
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (*.f64 x x) (+.f64 x (pow.f64 x 3)))
(+.f64 (pow.f64 x 3) (fma.f64 x x x))
(+.f64 x (*.f64 x (fma.f64 x x x)))
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
(+.f64 (*.f64 x x) (+.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4)))
(+.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 x x (pow.f64 x 4)))
(*.f64 (+.f64 (*.f64 x x) 1) (fma.f64 x x x))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(+.f64 -1 (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3)))))
(-.f64 -1 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 (-.f64 -1 (/.f64 1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 3))) (/.f64 -1 x))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(+.f64 -1 (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3)))))
(-.f64 -1 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 (-.f64 -1 (/.f64 1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 3))) (/.f64 -1 x))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (pow.f64 x 2) x))
(+.f64 1 (fma.f64 x x x))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x)))
(+.f64 (+.f64 (*.f64 x x) (+.f64 x (pow.f64 x 3))) 1)
(+.f64 (+.f64 (pow.f64 x 3) (fma.f64 x x x)) 1)
(*.f64 (+.f64 x 1) (+.f64 (*.f64 x x) 1))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))))
(-.f64 (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))))
(-.f64 (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 1 x)))) 1)
(/.f64 x (-.f64 1 x))
(*.f64 1 (/.f64 x (-.f64 1 x)))
(/.f64 x (-.f64 1 x))
(*.f64 x (/.f64 1 (-.f64 1 x)))
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 1 (-.f64 1 x)) x)
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 x (-.f64 1 x)) 1)
(/.f64 x (-.f64 1 x))
(*.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) (sqrt.f64 (/.f64 x (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (*.f64 (pow.f64 (-.f64 1 x) -1/2) x))
(/.f64 x (-.f64 1 x))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 2))
(/.f64 x (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 2) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 x))) x))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (*.f64 x (cbrt.f64 (/.f64 1 (-.f64 1 x)))))
(*.f64 x (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (cbrt.f64 (/.f64 1 (-.f64 1 x)))))
(*.f64 x (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (cbrt.f64 (/.f64 -1 (+.f64 x -1)))))
(*.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 1 (/.f64 -1 x)))
(/.f64 x (-.f64 1 x))
(*.f64 (*.f64 (/.f64 1 (-.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 x (-.f64 1 x))
(*.f64 (*.f64 (/.f64 1 (-.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 1 (pow.f64 x -1/2)) (/.f64 (/.f64 1 (-.f64 1 x)) (pow.f64 x -1/2)))
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 (cbrt.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (*.f64 (/.f64 1 (cbrt.f64 x)) (-.f64 1 x))))
(*.f64 (/.f64 (/.f64 1 (-.f64 1 x)) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 x))
(/.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (pow.f64 x -2)) (-.f64 1 x)))
(*.f64 (/.f64 (/.f64 1 (-.f64 1 x)) -1) (neg.f64 x))
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 (pow.f64 (-.f64 1 x) -1/2) 1) (/.f64 (pow.f64 (-.f64 1 x) -1/2) (/.f64 1 x)))
(/.f64 x (-.f64 1 x))
(*.f64 (/.f64 (pow.f64 (-.f64 1 x) -1/2) (cbrt.f64 (pow.f64 x -2))) (/.f64 (pow.f64 (-.f64 1 x) -1/2) (/.f64 1 (cbrt.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (*.f64 (/.f64 1 (cbrt.f64 x)) (-.f64 1 x))))
(*.f64 (/.f64 (/.f64 1 (-.f64 1 x)) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 x))
(/.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (pow.f64 x -2)) (-.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) 1) (/.f64 (cbrt.f64 (/.f64 1 (-.f64 1 x))) (/.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (*.f64 x (cbrt.f64 (/.f64 1 (-.f64 1 x)))))
(*.f64 x (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (cbrt.f64 (/.f64 1 (-.f64 1 x)))))
(*.f64 x (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (cbrt.f64 (/.f64 -1 (+.f64 x -1)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (pow.f64 x -1/2)) (/.f64 (cbrt.f64 (/.f64 1 (-.f64 1 x))) (pow.f64 x -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (*.f64 x (cbrt.f64 (/.f64 1 (-.f64 1 x)))))
(*.f64 x (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (cbrt.f64 (/.f64 1 (-.f64 1 x)))))
(*.f64 x (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (cbrt.f64 (/.f64 -1 (+.f64 x -1)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 x (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (cbrt.f64 (pow.f64 x -2))))
(pow.f64 (/.f64 x (-.f64 1 x)) 1)
(/.f64 x (-.f64 1 x))
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 1 x))) 2)
(/.f64 x (-.f64 1 x))
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 1 x))) 3)
(/.f64 x (-.f64 1 x))
(pow.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3) 1/3)
(/.f64 x (-.f64 1 x))
(pow.f64 (/.f64 (-.f64 1 x) x) -1)
(/.f64 x (-.f64 1 x))
(neg.f64 (/.f64 (/.f64 1 (-.f64 1 x)) (/.f64 -1 x)))
(/.f64 x (-.f64 1 x))
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 2))
(/.f64 x (-.f64 1 x))
(log.f64 (exp.f64 (/.f64 x (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 1 x)))))
(/.f64 x (-.f64 1 x))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
(/.f64 x (-.f64 1 x))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(exp.f64 (log.f64 (/.f64 x (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 1 x))) 1))
(/.f64 x (-.f64 1 x))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 1 x))))
(/.f64 x (-.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1 x)))) 1)
(/.f64 1 (-.f64 1 x))
(/.f64 -1 (+.f64 x -1))
(*.f64 1 (/.f64 1 (-.f64 1 x)))
(/.f64 1 (-.f64 1 x))
(/.f64 -1 (+.f64 x -1))
(*.f64 (/.f64 1 (-.f64 1 x)) 1)
(/.f64 1 (-.f64 1 x))
(/.f64 -1 (+.f64 x -1))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (pow.f64 (-.f64 1 x) -1/2))
(/.f64 1 (-.f64 1 x))
(/.f64 -1 (+.f64 x -1))
(*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 x))) (cbrt.f64 (pow.f64 (-.f64 1 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (cbrt.f64 (/.f64 1 (-.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (cbrt.f64 (/.f64 -1 (+.f64 x -1))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (cbrt.f64 (/.f64 1 (-.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) -2)) (cbrt.f64 (/.f64 -1 (+.f64 x -1))))
(*.f64 -1 (/.f64 -1 (-.f64 1 x)))
(/.f64 1 (-.f64 1 x))
(/.f64 -1 (+.f64 x -1))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (+.f64 1 x))
(*.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 (*.f64 x x))))
(/.f64 (+.f64 x 1) (-.f64 1 (*.f64 x x)))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(/.f64 (+.f64 1 (fma.f64 x x x)) (-.f64 1 (pow.f64 x 3)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 1 x)) -1) (pow.f64 (sqrt.f64 (-.f64 1 x)) -1))
(pow.f64 (sqrt.f64 (-.f64 1 x)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 1 x)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 x))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 x)))
(pow.f64 (-.f64 1 x) -1)
(/.f64 1 (-.f64 1 x))
(/.f64 -1 (+.f64 x -1))
(pow.f64 (/.f64 1 (-.f64 1 x)) 1)
(/.f64 1 (-.f64 1 x))
(/.f64 -1 (+.f64 x -1))
(pow.f64 (pow.f64 (-.f64 1 x) -1/2) 2)
(/.f64 1 (-.f64 1 x))
(/.f64 -1 (+.f64 x -1))
(pow.f64 (cbrt.f64 (/.f64 1 (-.f64 1 x))) 3)
(/.f64 1 (-.f64 1 x))
(/.f64 -1 (+.f64 x -1))
(pow.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 3) 1/3)
(/.f64 1 (-.f64 1 x))
(/.f64 -1 (+.f64 x -1))
(sqrt.f64 (pow.f64 (-.f64 1 x) -2))
(/.f64 1 (-.f64 1 x))
(/.f64 -1 (+.f64 x -1))
(log.f64 (exp.f64 (/.f64 1 (-.f64 1 x))))
(/.f64 1 (-.f64 1 x))
(/.f64 -1 (+.f64 x -1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 1 x)))))
(/.f64 1 (-.f64 1 x))
(/.f64 -1 (+.f64 x -1))
(cbrt.f64 (pow.f64 (/.f64 1 (-.f64 1 x)) 3))
(/.f64 1 (-.f64 1 x))
(/.f64 -1 (+.f64 x -1))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 x))))
(/.f64 1 (-.f64 1 x))
(/.f64 -1 (+.f64 x -1))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 x))))
(/.f64 1 (-.f64 1 x))
(/.f64 -1 (+.f64 x -1))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) -1))
(/.f64 1 (-.f64 1 x))
(/.f64 -1 (+.f64 x -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1))
(/.f64 1 (-.f64 1 x))
(/.f64 -1 (+.f64 x -1))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 x))))
(/.f64 1 (-.f64 1 x))
(/.f64 -1 (+.f64 x -1))

eval36.0ms (1.7%)

Compiler

Compiled 1710 to 1203 computations (29.6% saved)

prune20.0ms (0.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1480148
Fresh022
Picked011
Done022
Total1485153
Error
0b
Counts
153 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(/.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 x))
0.0b
(/.f64 x (-.f64 1 x))
30.8b
(*.f64 (+.f64 x 1) x)
30.2b
x
32.3b
-1
Compiler

Compiled 26 to 19 computations (26.9% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done033
Total055
Error
0b
Counts
5 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(/.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 x))
0.0b
(/.f64 x (-.f64 1 x))
30.8b
(*.f64 (+.f64 x 1) x)
30.2b
x
32.3b
-1
Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes11.0ms (0.5%)

Counts
7 → 1
Calls
Call 1
Inputs
-1
x
(*.f64 (+.f64 x 1) x)
(/.f64 x (-.f64 1 x))
(/.f64 (/.f64 1 (-.f64 1 x)) (/.f64 1 x))
(*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
Outputs
(/.f64 x (-.f64 1 x))
Calls

2 calls:

7.0ms
x
3.0ms
(/.f64 x (-.f64 1 x))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(/.f64 x (-.f64 1 x))
Compiler

Compiled 55 to 36 computations (34.5% saved)

regimes11.0ms (0.5%)

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

1 calls:

10.0ms
x
Results
ErrorSegmentsBranch
0.6b3x
Compiler

Compiled 10 to 6 computations (40% saved)

bsearch28.0ms (1.4%)

Algorithm
binary-search
Steps
TimeLeftRight
14.0ms
5.533749970100979e-7
143.6795159627046
15.0ms
-5802551725.673117
-0.009958605391430304
Results
25.0ms304×body256valid
Compiler

Compiled 200 to 159 computations (20.5% saved)

regimes9.0ms (0.5%)

Accuracy

Total -61.1b remaining (-8608.4%)

Threshold costs -61.1b (-8608.4%)

Counts
2 → 3
Calls
Call 1
Inputs
-1
x
Outputs
-1
x
-1
Calls

1 calls:

9.0ms
x
Results
ErrorSegmentsBranch
0.7b3x
Compiler

Compiled 5 to 3 computations (40% saved)

bsearch27.0ms (1.3%)

Algorithm
binary-search
Steps
TimeLeftRight
12.0ms
5.533749970100979e-7
143.6795159627046
15.0ms
-5802551725.673117
-0.009958605391430304
Results
24.0ms304×body256valid
Compiler

Compiled 124 to 102 computations (17.7% saved)

simplify6.0ms (0.3%)

Algorithm
egg-herbie
Rules
+-commutative
sub-neg
if-if-or-not
*-commutative
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02068
13468
23768
33968
44068
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 x (-.f64 1 x))
(if (<=.f64 x -3/4) -1 (if (<=.f64 x 1) (*.f64 (+.f64 x 1) x) -1))
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) x -1))
-1
Outputs
(/.f64 x (-.f64 1 x))
(if (<=.f64 x -3/4) -1 (if (<=.f64 x 1) (*.f64 (+.f64 x 1) x) -1))
(if (<=.f64 x -3/4) -1 (if (<=.f64 x 1) (*.f64 x (+.f64 x 1)) -1))
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) x -1))
-1
Compiler

Compiled 36 to 27 computations (25% saved)

soundness0.0ms (0%)

end95.0ms (4.6%)

Compiler

Compiled 33 to 24 computations (27.3% saved)

Profiling

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