Details

Time bar (total: 8.8s)

analyze689.0ms (7.9%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
0%0%50%50%0%0%0%2
0%0%50%50%0%0%0%3
0%0%50%50%0%0%0%4
6.3%3.1%46.8%50%0%0%0%5
9.4%4.7%45.3%50%0%0%0%6
10.9%5.5%44.5%50%0%0%0%7
11.7%5.9%44.1%50%0%0%0%8
12.1%6%43.9%50%0%0%0%9
12.3%6.1%43.8%50%0%0%0%10
12.4%6.2%43.8%50%0%0%0%11
12.5%6.2%43.7%50%0%0%0%12
Compiler

Compiled 17 to 13 computations (23.5% saved)

sample6.0s (68.8%)

Results
4.1s4186×body1024valid
928.0ms2087×body512valid
536.0ms1620×body256valid
414.0ms363×body2048valid
Bogosity

preprocess6.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
11619
22119
32819
43519
54519
66419
77819
88219
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Outputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify15.0ms (0.2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01021
11619
22119
32819
43519
54519
66419
77819
88219
Stop Event
saturated
Counts
1 → 3
Calls
Call 1
Inputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Outputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

eval1.0ms (0%)

Compiler

Compiled 23 to 16 computations (30.4% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New213
Fresh101
Picked000
Done000
Total314
Error
0.0b
Counts
4 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Compiler

Compiled 7 to 5 computations (28.6% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Compiler

Compiled 15 to 5 computations (66.7% saved)

series4.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
2.0ms
x
@inf
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
0.0ms
x
@0
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

rewrite59.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1230×add-sqr-sqrt
1218×*-un-lft-identity
1130×add-cube-cbrt
1116×add-cbrt-cube
1102×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0819
116415
2217315
Stop Event
node limit
Counts
1 → 30
Calls
Call 1
Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 x) (/.f64 1 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 x)) (*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log1p.f64 x)) (/.f64 1 (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))))))

simplify56.0ms (0.6%)

Algorithm
egg-herbie
Rules
1220×associate-/r*
996×fma-def
742×times-frac
598×associate-/l*
584×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01882430
16012216
219692030
Stop Event
node limit
Counts
42 → 73
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) (/.f64 2 (*.f64 (log.f64 (/.f64 1 x)) x))) (/.f64 (log.f64 -1) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 -1) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 1/3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (log.f64 (/.f64 1 x)))))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (/.f64 (log.f64 -1) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x)) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))) (pow.f64 x 3))))))
(-.f64 (+.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1)
(*.f64 (log1p.f64 x) (/.f64 1 (log1p.f64 x)))
(*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 x)) (*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 x))
(*.f64 (neg.f64 (log1p.f64 x)) (/.f64 1 (neg.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1))
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(fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (/.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) (*.f64 x x)) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 -1 (+.f64 (/.f64 (-.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))) x) (/.f64 (-.f64 (/.f64 1/3 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3)) (fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (fma.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (+.f64 (/.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))))) (pow.f64 x 3))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) x)) (/.f64 (-.f64 (/.f64 1/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (-.f64 (fma.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)))) (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (/.f64 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))) (pow.f64 x 3))) (/.f64 (-.f64 (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)))) (*.f64 x x)))
(-.f64 (-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) x)) (+.f64 (/.f64 (-.f64 (/.f64 1/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (+.f64 (fma.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (+.f64 -1/2 (/.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))))) (pow.f64 x 3)) (/.f64 (+.f64 (-.f64 (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (*.f64 x x))))
(-.f64 (+.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1)
1
(*.f64 (log1p.f64 x) (/.f64 1 (log1p.f64 x)))
1
(*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
1
(*.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)))
1
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(*.f64 (sqrt.f64 (log1p.f64 x)) (*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
1
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2))
1
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
1
(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 x))
1
(*.f64 (neg.f64 (log1p.f64 x)) (/.f64 1 (neg.f64 (log1p.f64 x))))
1
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))))
1
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))))
1
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
1
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
1
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))))
1
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
1
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
1
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)
1
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2)
1
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 3)
1
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
1
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
1
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2))
1
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3))
1
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1

eval89.0ms (1%)

Compiler

Compiled 3252 to 2319 computations (28.7% saved)

prune27.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New69473
Fresh000
Picked011
Done000
Total69574
Error
0.0b
Counts
74 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
0.4b
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
0.7b
(-.f64 -1 x)
0.4b
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
1.1b
-1
Compiler

Compiled 32 to 23 computations (28.1% saved)

localize9.0ms (0.1%)

Compiler

Compiled 25 to 11 computations (56% saved)

localize2.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
Compiler

Compiled 21 to 14 computations (33.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite62.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1938×add-sqr-sqrt
1916×*-un-lft-identity
1788×add-cube-cbrt
1770×add-cbrt-cube
186×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
119021
2231921
Stop Event
node limit
Counts
1 → 39
Calls
Call 1
Inputs
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
Outputs
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(*.f64 x -1/2) -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)) (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))) (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x))) (neg.f64 (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (neg.f64 x))))))

simplify69.0ms (0.8%)

Algorithm
egg-herbie
Rules
920×associate-+r-
888×associate--r+
834×associate-+l-
822×fma-def
786×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01131617
13021537
212941389
357061389
Stop Event
node limit
Counts
51 → 55
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x))
(+.f64 (fma.f64 x (*.f64 x -1/2) -1) (*.f64 (neg.f64 x) 1))
(+.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (neg.f64 x) (fma.f64 x (*.f64 x -1/2) -1))
(+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 -1 (neg.f64 x)))
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))
(*.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 1)
(*.f64 1 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))
(*.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 2) (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))
(*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 x)))
(/.f64 1 (/.f64 (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)) (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))) (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x))) (neg.f64 (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))))
(pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 1)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 2)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))
(exp.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))
(fma.f64 1 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x))
(fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (neg.f64 x))
Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 x -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 x -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(+.f64 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(+.f64 (fma.f64 x (*.f64 x -1/2) -1) (*.f64 (neg.f64 x) 1))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(+.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(+.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(+.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(+.f64 (neg.f64 x) (fma.f64 x (*.f64 x -1/2) -1))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 -1 (neg.f64 x)))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 1 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 2))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 2) (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (fma.f64 -1/2 (*.f64 x x) (+.f64 -1 x)))
(*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)) (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (fma.f64 x (*.f64 x -1/2) -1) (fma.f64 -1/2 (*.f64 x x) (+.f64 -1 x)))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 x)))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(/.f64 1 (/.f64 (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)) (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (fma.f64 -1/2 (*.f64 x x) (+.f64 -1 x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))) (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)) (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (fma.f64 x (*.f64 x -1/2) -1) (fma.f64 -1/2 (*.f64 x x) (+.f64 -1 x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))
(*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (fma.f64 -1/2 (*.f64 x x) (+.f64 -1 x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)) (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (fma.f64 x (*.f64 x -1/2) -1) (fma.f64 -1/2 (*.f64 x x) (+.f64 -1 x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x)))
(*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (fma.f64 -1/2 (*.f64 x x) (+.f64 -1 x)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x)))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)) (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (fma.f64 x (*.f64 x -1/2) -1) (fma.f64 -1/2 (*.f64 x x) (+.f64 -1 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x))) (neg.f64 (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (fma.f64 -1/2 (*.f64 x x) (+.f64 -1 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)) (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (fma.f64 x (*.f64 x -1/2) -1) (fma.f64 -1/2 (*.f64 x x) (+.f64 -1 x)))))
(pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 2)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 3)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(pow.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 3) 1/3)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 2))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(log.f64 (exp.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 3))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(exp.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 1))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 1 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (neg.f64 x))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (neg.f64 x))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)

eval18.0ms (0.2%)

Compiler

Compiled 823 to 552 computations (32.9% saved)

prune9.0ms (0.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New54155
Fresh011
Picked101
Done033
Total55560
Error
0.0b
Counts
60 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
0.7b
(-.f64 -1 x)
0.4b
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
0.4b
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))
1.1b
-1
Compiler

Compiled 33 to 24 computations (27.3% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 24 to 16 computations (33.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite96.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1010×associate-*r/
946×*-commutative
660×associate-*l/
608×distribute-lft-in
588×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
120521
2270721
Stop Event
node limit
Counts
1 → 92
Calls
Call 1
Inputs
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (*.f64 x (+.f64 -1 (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -1/2) x (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 -1 x) (*.f64 -1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (*.f64 -1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) (*.f64 -1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) 2) (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) -1/2 (-.f64 -1 x))))))

simplify84.0ms (1%)

Algorithm
egg-herbie
Rules
1822×associate-*r/
1396×associate-*l/
698×associate-/r/
628×+-commutative
520×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02756726
18135628
237005628
Stop Event
node limit
Counts
104 → 158
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 -1 (+.f64 x (*.f64 (*.f64 x x) 1/2)))
(-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x)
(-.f64 (neg.f64 x) (-.f64 1 (*.f64 -1/2 (*.f64 x x))))
(-.f64 (exp.f64 (log.f64 (*.f64 x (+.f64 -1 (*.f64 x -1/2))))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x)))) (-.f64 1 (-.f64 -1 x)))
(-.f64 (*.f64 x (+.f64 -1 (*.f64 x -1/2))) 1)
(-.f64 (/.f64 1 (+.f64 x -1)) (-.f64 (/.f64 x (/.f64 (+.f64 x -1) x)) (*.f64 -1/2 (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))) (/.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))
(-.f64 (/.f64 -1 (+.f64 1 (*.f64 x (+.f64 x -1)))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 1 (*.f64 x (+.f64 x -1)))) (*.f64 -1/2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) (/.f64 1 (+.f64 x -1))) (/.f64 x (/.f64 (+.f64 x -1) x)))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) (/.f64 -1 (+.f64 1 (*.f64 x (+.f64 x -1))))) (/.f64 (pow.f64 x 3) (+.f64 1 (*.f64 x (+.f64 x -1)))))
(-.f64 (+.f64 (-.f64 -1 x) (exp.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x))))) 1)
(-.f64 (+.f64 (fma.f64 (*.f64 x x) -1/2 -1) 0) x)
(*.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x) 1)
(*.f64 1 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x)) (sqrt.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x)))
(*.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x)) 2) (cbrt.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x)))
(*.f64 (-.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2) (pow.f64 (-.f64 -1 x) 2)) (/.f64 1 (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))
(*.f64 (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 -1 x) 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))))
(*.f64 (/.f64 1 (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))) (-.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2) (pow.f64 (-.f64 -1 x) 2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))) (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 -1 x) 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2) (pow.f64 (-.f64 -1 x) 2)) (-.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2) (pow.f64 (-.f64 -1 x) 2))) (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2) (pow.f64 (-.f64 -1 x) 2)) (-.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 -1 x) 3))) (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2) (*.f64 (-.f64 -1 x) (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 -1 x) 3)) (-.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3)) (*.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) 1/2)) (+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) 1/2)))))) (-.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2) (*.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) 1/2)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 -1 x) 3)) (+.f64 (pow.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2) 3) (pow.f64 (*.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) 1/2))) 3))) (+.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3)) (*.f64 (*.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) 1/2))) (-.f64 (*.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) 1/2))) (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2)))))
(/.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x) (/.f64 (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))
(/.f64 1 (/.f64 1 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2) (pow.f64 (-.f64 -1 x) 2)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 -1 x) 3)) (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))) (/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))) (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 -1 x) 3))) (/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 -1 x) 3)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2) (pow.f64 (-.f64 -1 x) 2))) (/.f64 (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)) (sqrt.f64 (-.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2) (pow.f64 (-.f64 -1 x) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 -1 x) 3))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 -1 x) 3)))) (/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 -1 x) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2) (pow.f64 (-.f64 -1 x) 2))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2) (pow.f64 (-.f64 -1 x) 2)))) (/.f64 (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)) (cbrt.f64 (-.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2) (pow.f64 (-.f64 -1 x) 2)))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 3)) 1/64) (*.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (-.f64 -1 x) 3))) (*.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))) (-.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 -1 x) 3))))
(/.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2)) (+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) 1/2)))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x x) -1/2 -1) (fma.f64 (*.f64 x x) -1/2 -1)) (*.f64 x x)) (+.f64 x (fma.f64 (*.f64 x x) -1/2 -1)))
(/.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3)) (*.f64 (-.f64 -1 x) (pow.f64 (-.f64 -1 x) 3))) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)) (+.f64 (pow.f64 (-.f64 -1 x) 2) (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) 3) (pow.f64 (pow.f64 (-.f64 -1 x) 3) 3)) (*.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 3)) 1/64) (*.f64 (pow.f64 (-.f64 -1 x) 3) (-.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/2 -1) 3) (pow.f64 x 3)) (+.f64 (*.f64 (fma.f64 (*.f64 x x) -1/2 -1) (fma.f64 (*.f64 x x) -1/2 -1)) (*.f64 x (+.f64 x (fma.f64 (*.f64 x x) -1/2 -1)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2) 3) (pow.f64 (pow.f64 (-.f64 -1 x) 2) 3)) (*.f64 (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)) (+.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3)) (*.f64 (pow.f64 (-.f64 -1 x) 2) (+.f64 (pow.f64 (-.f64 -1 x) 2) (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2) (pow.f64 (-.f64 -1 x) 2))) (neg.f64 (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 -1 x) 3))) (neg.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (fma.f64 (*.f64 x x) -1/2 -1) (fma.f64 (*.f64 x x) -1/2 -1)) (*.f64 x x))) (+.f64 x (fma.f64 (*.f64 x x) -1/2 -1)))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/2 -1) 3) (pow.f64 x 3))) (+.f64 (*.f64 (fma.f64 (*.f64 x x) -1/2 -1) (fma.f64 (*.f64 x x) -1/2 -1)) (*.f64 x (+.f64 x (fma.f64 (*.f64 x x) -1/2 -1)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 -1 x) 3)))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x)) (sqrt.f64 (-.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2) (pow.f64 (-.f64 -1 x) 2)))) (sqrt.f64 (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x)) 2) (cbrt.f64 (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 -1 x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x)) 2) (cbrt.f64 (-.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2) (pow.f64 (-.f64 -1 x) 2)))) (cbrt.f64 (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2)) 1) (+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) 1/2)))
(/.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x x) -1/2 -1) (fma.f64 (*.f64 x x) -1/2 -1)) (*.f64 x x)) 1) (+.f64 x (fma.f64 (*.f64 x x) -1/2 -1)))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/2 -1) 3) (pow.f64 x 3)) 1) (+.f64 (*.f64 (fma.f64 (*.f64 x x) -1/2 -1) (fma.f64 (*.f64 x x) -1/2 -1)) (*.f64 x (+.f64 x (fma.f64 (*.f64 x x) -1/2 -1)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2) (pow.f64 (-.f64 -1 x) 2))) 1) (neg.f64 (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 -1 x) 3))) 1) (neg.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 -1 x) 3))) (sqrt.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2) (pow.f64 (-.f64 -1 x) 2))) (sqrt.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x))) (sqrt.f64 (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 -1 x) 3))) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x)) 2)) (cbrt.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2) (pow.f64 (-.f64 -1 x) 2))) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x)) 2)) (cbrt.f64 (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3)) (*.f64 (-.f64 -1 x) (pow.f64 (-.f64 -1 x) 3))) (/.f64 1 (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))) (+.f64 (pow.f64 (-.f64 -1 x) 2) (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2) 3) (pow.f64 (pow.f64 (-.f64 -1 x) 2) 3)) (/.f64 1 (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))) (+.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3)) (*.f64 (pow.f64 (-.f64 -1 x) 2) (+.f64 (pow.f64 (-.f64 -1 x) 2) (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 3)) 1/64) (*.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (-.f64 -1 x) 3))) (/.f64 1 (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))))) (-.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 -1 x) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) 3) (pow.f64 (pow.f64 (-.f64 -1 x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 3)) 1/64) (*.f64 (pow.f64 (-.f64 -1 x) 3) (-.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2) (pow.f64 (-.f64 -1 x) 2)) 1) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2) (pow.f64 (-.f64 -1 x) 2)) (sqrt.f64 (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))) (sqrt.f64 (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2) (pow.f64 (-.f64 -1 x) 2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))) (cbrt.f64 (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))) (cbrt.f64 (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2) (pow.f64 (-.f64 -1 x) 2)) (+.f64 (sqrt.f64 (-.f64 -1 x)) (*.f64 x (sqrt.f64 -1/2)))) (-.f64 (*.f64 x (sqrt.f64 -1/2)) (sqrt.f64 (-.f64 -1 x))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 -1 x) 3)) 1) (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 -1 x) 3)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 -1 x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))))
(pow.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x) 1)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x)) 2)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x)) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2) (pow.f64 (-.f64 -1 x) 2)) (neg.f64 (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 -1 x) 3)) (neg.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))))))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x) 3))
(expm1.f64 (log.f64 (*.f64 x (+.f64 -1 (*.f64 x -1/2)))))
(exp.f64 (log.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x)))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x)))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 (*.f64 x -1/2) x (-.f64 -1 x))
(fma.f64 1 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))
(fma.f64 1 (-.f64 -1 x) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) (-.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) 2) (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) (-.f64 -1 x))
(fma.f64 (*.f64 x x) -1/2 (-.f64 -1 x))
Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 x -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 x -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 -1 (+.f64 x (*.f64 (*.f64 x x) 1/2)))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (neg.f64 x) (-.f64 1 (*.f64 -1/2 (*.f64 x x))))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (exp.f64 (log.f64 (*.f64 x (+.f64 -1 (*.f64 x -1/2))))) 1)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x)))) (-.f64 1 (-.f64 -1 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x)))) (+.f64 2 x))
(+.f64 -1 (-.f64 (expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2)))) x))
(-.f64 (*.f64 x (+.f64 -1 (*.f64 x -1/2))) 1)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (/.f64 1 (+.f64 x -1)) (-.f64 (/.f64 x (/.f64 (+.f64 x -1) x)) (*.f64 -1/2 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 1 (+.f64 -1 x)) (*.f64 (/.f64 x (+.f64 -1 x)) x)) (*.f64 -1/2 (*.f64 x x)))
(-.f64 (/.f64 1 (+.f64 -1 x)) (*.f64 x (-.f64 (/.f64 x (+.f64 -1 x)) (*.f64 x -1/2))))
(-.f64 (/.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))) (/.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (/.f64 -1 (+.f64 1 (*.f64 x (+.f64 x -1)))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 1 (*.f64 x (+.f64 x -1)))) (*.f64 -1/2 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 -1 (+.f64 1 (*.f64 x (+.f64 -1 x)))) (/.f64 (pow.f64 x 3) (+.f64 1 (*.f64 x (+.f64 -1 x))))) (*.f64 -1/2 (*.f64 x x)))
(-.f64 (fma.f64 -1/2 (*.f64 x x) (/.f64 -1 (fma.f64 x (+.f64 -1 x) 1))) (/.f64 (pow.f64 x 3) (fma.f64 x (+.f64 -1 x) 1)))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) (/.f64 1 (+.f64 x -1))) (/.f64 x (/.f64 (+.f64 x -1) x)))
(+.f64 (-.f64 (/.f64 1 (+.f64 -1 x)) (*.f64 (/.f64 x (+.f64 -1 x)) x)) (*.f64 -1/2 (*.f64 x x)))
(-.f64 (/.f64 1 (+.f64 -1 x)) (*.f64 x (-.f64 (/.f64 x (+.f64 -1 x)) (*.f64 x -1/2))))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) (/.f64 -1 (+.f64 1 (*.f64 x (+.f64 x -1))))) (/.f64 (pow.f64 x 3) (+.f64 1 (*.f64 x (+.f64 x -1)))))
(+.f64 (-.f64 (/.f64 -1 (+.f64 1 (*.f64 x (+.f64 -1 x)))) (/.f64 (pow.f64 x 3) (+.f64 1 (*.f64 x (+.f64 -1 x))))) (*.f64 -1/2 (*.f64 x x)))
(-.f64 (fma.f64 -1/2 (*.f64 x x) (/.f64 -1 (fma.f64 x (+.f64 -1 x) 1))) (/.f64 (pow.f64 x 3) (fma.f64 x (+.f64 -1 x) 1)))
(-.f64 (+.f64 (-.f64 -1 x) (exp.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x))))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x x)))) (+.f64 2 x))
(+.f64 -1 (-.f64 (expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2)))) x))
(-.f64 (+.f64 (fma.f64 (*.f64 x x) -1/2 -1) 0) x)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x) 1)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 1 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 (sqrt.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x)) (sqrt.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x)))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x)) 2))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x)) 2) (cbrt.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x)))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 (-.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2) (pow.f64 (-.f64 -1 x) 2)) (/.f64 1 (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 -1 x) 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))))
(/.f64 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (-.f64 -1 x) 3)) 1) (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 -1/2 (*.f64 (*.f64 x x) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 6) (pow.f64 (-.f64 -1 x) 3)) (fma.f64 -1/2 (*.f64 (*.f64 x x) (+.f64 x (fma.f64 -1/2 (*.f64 x x) 1))) (pow.f64 (-.f64 -1 x) 2)))
(*.f64 (/.f64 1 (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))) (-.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2) (pow.f64 (-.f64 -1 x) 2)))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))) (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 -1 x) 3)))
(/.f64 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (-.f64 -1 x) 3)) 1) (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 -1/2 (*.f64 (*.f64 x x) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 6) (pow.f64 (-.f64 -1 x) 3)) (fma.f64 -1/2 (*.f64 (*.f64 x x) (+.f64 x (fma.f64 -1/2 (*.f64 x x) 1))) (pow.f64 (-.f64 -1 x) 2)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2) (pow.f64 (-.f64 -1 x) 2)) (-.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2) (pow.f64 (-.f64 -1 x) 2))) (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x))
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(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x x) 6) 1/64) (pow.f64 (-.f64 -1 x) 6)) (+.f64 x (fma.f64 -1/2 (*.f64 x x) 1))) (fma.f64 (pow.f64 (-.f64 -1 x) 2) (+.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (pow.f64 (*.f64 x (*.f64 x -1/2)) 4)))
(/.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 6) 1/64 (neg.f64 (pow.f64 (-.f64 -1 x) 6))) (+.f64 x (fma.f64 -1/2 (*.f64 x x) 1))) (fma.f64 (pow.f64 (-.f64 -1 x) 2) (+.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (pow.f64 (*.f64 x (*.f64 x -1/2)) 4)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 3)) 1/64) (*.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (-.f64 -1 x) 3))) (/.f64 1 (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))))) (-.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 -1 x) 3)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x x) 6) 1/64) (pow.f64 (-.f64 -1 x) 6)) (*.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 -1/2 (*.f64 (*.f64 x x) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))) (-.f64 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (-.f64 -1 x) 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x x) 6) 1/64) (pow.f64 (-.f64 -1 x) 6)) (*.f64 (fma.f64 -1/2 (*.f64 (*.f64 x x) (+.f64 x (fma.f64 -1/2 (*.f64 x x) 1))) (pow.f64 (-.f64 -1 x) 2)) (-.f64 (*.f64 (pow.f64 x 6) -1/8) (pow.f64 (-.f64 -1 x) 3))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) 6) 1/64 (neg.f64 (pow.f64 (-.f64 -1 x) 6))) (*.f64 (fma.f64 -1/2 (*.f64 (*.f64 x x) (+.f64 x (fma.f64 -1/2 (*.f64 x x) 1))) (pow.f64 (-.f64 -1 x) 2)) (-.f64 (*.f64 (pow.f64 x 6) -1/8) (pow.f64 (-.f64 -1 x) 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) 3) (pow.f64 (pow.f64 (-.f64 -1 x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))))) (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 3)) 1/64) (*.f64 (pow.f64 (-.f64 -1 x) 3) (-.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)) 3) (pow.f64 (pow.f64 (-.f64 -1 x) 3) 3)) (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 -1/2 (*.f64 (*.f64 x x) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))))) (fma.f64 (pow.f64 (*.f64 x x) 6) 1/64 (*.f64 (pow.f64 (-.f64 -1 x) 3) (-.f64 (pow.f64 (-.f64 -1 x) 3) (*.f64 -1/8 (pow.f64 (*.f64 x x) 3))))))
(/.f64 (+.f64 (*.f64 -1/512 (pow.f64 (pow.f64 x 6) 3)) (pow.f64 (pow.f64 (-.f64 -1 x) 3) 3)) (*.f64 (fma.f64 -1/2 (*.f64 (*.f64 x x) (+.f64 x (fma.f64 -1/2 (*.f64 x x) 1))) (pow.f64 (-.f64 -1 x) 2)) (fma.f64 (pow.f64 (-.f64 -1 x) 3) (+.f64 (pow.f64 (-.f64 -1 x) 3) (*.f64 1/8 (pow.f64 x 6))) (*.f64 (pow.f64 (*.f64 x x) 6) 1/64))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2) (pow.f64 (-.f64 -1 x) 2)) 1) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2) (pow.f64 (-.f64 -1 x) 2)) (sqrt.f64 (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))) (sqrt.f64 (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2) (pow.f64 (-.f64 -1 x) 2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))) (cbrt.f64 (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))) (cbrt.f64 (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2) (pow.f64 (-.f64 -1 x) 2)) (+.f64 (sqrt.f64 (-.f64 -1 x)) (*.f64 x (sqrt.f64 -1/2)))) (-.f64 (*.f64 x (sqrt.f64 -1/2)) (sqrt.f64 (-.f64 -1 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2) (pow.f64 (-.f64 -1 x) 2)) (*.f64 (-.f64 (*.f64 x (sqrt.f64 -1/2)) (sqrt.f64 (-.f64 -1 x))) (+.f64 (sqrt.f64 (-.f64 -1 x)) (*.f64 x (sqrt.f64 -1/2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (*.f64 (fma.f64 x (sqrt.f64 -1/2) (sqrt.f64 (-.f64 -1 x))) (-.f64 (*.f64 x (sqrt.f64 -1/2)) (sqrt.f64 (-.f64 -1 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 -1 x) 3)) 1) (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))))
(/.f64 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (-.f64 -1 x) 3)) 1) (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 -1/2 (*.f64 (*.f64 x x) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 6) (pow.f64 (-.f64 -1 x) 3)) (fma.f64 -1/2 (*.f64 (*.f64 x x) (+.f64 x (fma.f64 -1/2 (*.f64 x x) 1))) (pow.f64 (-.f64 -1 x) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 -1 x) 3)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))))
(/.f64 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (-.f64 -1 x) 3)) 1) (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 -1/2 (*.f64 (*.f64 x x) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 6) (pow.f64 (-.f64 -1 x) 3)) (fma.f64 -1/2 (*.f64 (*.f64 x x) (+.f64 x (fma.f64 -1/2 (*.f64 x x) 1))) (pow.f64 (-.f64 -1 x) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 -1 x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))))
(/.f64 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (-.f64 -1 x) 3)) 1) (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 -1/2 (*.f64 (*.f64 x x) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 6) (pow.f64 (-.f64 -1 x) 3)) (fma.f64 -1/2 (*.f64 (*.f64 x x) (+.f64 x (fma.f64 -1/2 (*.f64 x x) 1))) (pow.f64 (-.f64 -1 x) 2)))
(pow.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x) 1)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x)) 2)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x)) 3)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(pow.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x) 3) 1/3)
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2) (pow.f64 (-.f64 -1 x) 2)) (neg.f64 (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 -1 x) 3)) (neg.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))))))
(/.f64 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (-.f64 -1 x) 3)) 1) (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 -1/2 (*.f64 (*.f64 x x) (-.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 6) (pow.f64 (-.f64 -1 x) 3)) (fma.f64 -1/2 (*.f64 (*.f64 x x) (+.f64 x (fma.f64 -1/2 (*.f64 x x) 1))) (pow.f64 (-.f64 -1 x) 2)))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x) 2))
(fabs.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1))
(log.f64 (exp.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x)))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x))))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x) 3))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(expm1.f64 (log.f64 (*.f64 x (+.f64 -1 (*.f64 x -1/2)))))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(exp.f64 (log.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x)))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 (*.f64 x x) -1/2 -1) x)))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (*.f64 x -1/2) x (-.f64 -1 x))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 1 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 1 (-.f64 -1 x) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) (-.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) 2) (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) (-.f64 -1 x))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (*.f64 x x) -1/2 (-.f64 -1 x))
(fma.f64 x (+.f64 -1 (*.f64 x -1/2)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)

eval150.0ms (1.7%)

Compiler

Compiled 5132 to 3486 computations (32.1% saved)

prune21.0ms (0.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1562158
Fresh011
Picked011
Done123
Total1576163
Error
0.0b
Counts
163 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
0.4b
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) (/.f64 1 (+.f64 x -1))) (/.f64 x (/.f64 (+.f64 x -1) x)))
0.4b
(-.f64 (*.f64 x (+.f64 -1 (*.f64 x -1/2))) 1)
0.7b
(-.f64 -1 x)
0.4b
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))
1.1b
-1
Compiler

Compiled 53 to 39 computations (26.4% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 29 to 22 computations (24.1% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite51.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1782×add-sqr-sqrt
1760×*-un-lft-identity
1648×add-cube-cbrt
1628×add-cbrt-cube
168×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0819
117515
2217915
Stop Event
node limit
Counts
1 → 24
Calls
Call 1
Inputs
(*.f64 x (+.f64 -1 (*.f64 x -1/2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 -1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (*.f64 x x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 x) 1) (*.f64 (*.f64 -1/2 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/2 -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 1/4 (*.f64 x x)))) (+.f64 -1 (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 -1 (*.f64 -1/8 (pow.f64 x 3)))) (+.f64 1 (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 1/4 (*.f64 x x))) x) (+.f64 -1 (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (*.f64 -1/8 (pow.f64 x 3))) x) (+.f64 1 (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x)))) (-.f64 (neg.f64 x) (*.f64 -1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (neg.f64 x) 3) (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3)) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (-.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x))) (*.f64 (neg.f64 x) (*.f64 -1/2 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -1/2 -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/2 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x -1/2 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x -1/2 -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -1/2 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -1 (*.f64 -1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (*.f64 -1/2 (*.f64 x x)))))))

simplify53.0ms (0.6%)

Algorithm
egg-herbie
Rules
1050×associate-+r+
842×associate-+l+
710×associate-*r/
526×fma-def
512×associate-/l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
084864
1250702
2998662
33846662
Stop Event
node limit
Counts
36 → 43
Calls
Call 1
Inputs
(*.f64 -1 x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (*.f64 -1/2 (*.f64 x x)))
(+.f64 (*.f64 -1/2 (*.f64 x x)) (neg.f64 x))
(+.f64 (*.f64 (neg.f64 x) 1) (*.f64 (*.f64 -1/2 (*.f64 x x)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/2 -1)))) 1)
(/.f64 (*.f64 x (-.f64 1 (*.f64 1/4 (*.f64 x x)))) (+.f64 -1 (*.f64 1/2 x)))
(/.f64 (*.f64 x (+.f64 -1 (*.f64 -1/8 (pow.f64 x 3)))) (+.f64 1 (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 1/2 x))))
(/.f64 (*.f64 (-.f64 1 (*.f64 1/4 (*.f64 x x))) x) (+.f64 -1 (*.f64 1/2 x)))
(/.f64 (*.f64 (+.f64 -1 (*.f64 -1/8 (pow.f64 x 3))) x) (+.f64 1 (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 1/2 x))))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x)))) (-.f64 (neg.f64 x) (*.f64 -1/2 (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (neg.f64 x) 3) (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3)) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (-.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x))) (*.f64 (neg.f64 x) (*.f64 -1/2 (*.f64 x x))))))
(pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/2 -1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -1/2 -1)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/2 -1))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -1/2 -1))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x -1/2 -1))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -1/2 -1))))
(fma.f64 x -1 (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1 x (*.f64 -1/2 (*.f64 x x)))
Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 x -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 x -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (neg.f64 x) (*.f64 -1/2 (*.f64 x x)))
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (*.f64 -1/2 (*.f64 x x)) (neg.f64 x))
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(+.f64 (*.f64 (neg.f64 x) 1) (*.f64 (*.f64 -1/2 (*.f64 x x)) 1))
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/2 -1)))) 1)
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(/.f64 (*.f64 x (-.f64 1 (*.f64 1/4 (*.f64 x x)))) (+.f64 -1 (*.f64 1/2 x)))
(/.f64 x (/.f64 (+.f64 -1 (*.f64 x 1/2)) (+.f64 1 (*.f64 -1/4 (*.f64 x x)))))
(*.f64 (/.f64 x (fma.f64 x 1/2 -1)) (+.f64 1 (*.f64 (*.f64 -1/4 x) x)))
(/.f64 (*.f64 x (fma.f64 (*.f64 x -1/4) x 1)) (fma.f64 x 1/2 -1))
(*.f64 x (/.f64 (fma.f64 (*.f64 x -1/4) x 1) (fma.f64 x 1/2 -1)))
(/.f64 (*.f64 x (+.f64 -1 (*.f64 -1/8 (pow.f64 x 3)))) (+.f64 1 (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 1/2 x))))
(/.f64 x (/.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 -1/2 x))) (+.f64 -1 (*.f64 -1/8 (pow.f64 x 3)))))
(*.f64 (/.f64 (fma.f64 -1/8 (pow.f64 x 3) -1) (+.f64 1 (*.f64 x (+.f64 (*.f64 x 1/4) -1/2)))) x)
(/.f64 (fma.f64 -1/8 (pow.f64 x 4) (neg.f64 x)) (fma.f64 x (fma.f64 x 1/4 -1/2) 1))
(/.f64 (-.f64 (*.f64 -1/8 (pow.f64 x 4)) x) (fma.f64 x (fma.f64 x 1/4 -1/2) 1))
(/.f64 (*.f64 (-.f64 1 (*.f64 1/4 (*.f64 x x))) x) (+.f64 -1 (*.f64 1/2 x)))
(/.f64 x (/.f64 (+.f64 -1 (*.f64 x 1/2)) (+.f64 1 (*.f64 -1/4 (*.f64 x x)))))
(*.f64 (/.f64 x (fma.f64 x 1/2 -1)) (+.f64 1 (*.f64 (*.f64 -1/4 x) x)))
(/.f64 (*.f64 x (fma.f64 (*.f64 x -1/4) x 1)) (fma.f64 x 1/2 -1))
(*.f64 x (/.f64 (fma.f64 (*.f64 x -1/4) x 1) (fma.f64 x 1/2 -1)))
(/.f64 (*.f64 (+.f64 -1 (*.f64 -1/8 (pow.f64 x 3))) x) (+.f64 1 (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 1/2 x))))
(/.f64 x (/.f64 (+.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 -1/2 x))) (+.f64 -1 (*.f64 -1/8 (pow.f64 x 3)))))
(*.f64 (/.f64 (fma.f64 -1/8 (pow.f64 x 3) -1) (+.f64 1 (*.f64 x (+.f64 (*.f64 x 1/4) -1/2)))) x)
(/.f64 (fma.f64 -1/8 (pow.f64 x 4) (neg.f64 x)) (fma.f64 x (fma.f64 x 1/4 -1/2) 1))
(/.f64 (-.f64 (*.f64 -1/8 (pow.f64 x 4)) x) (fma.f64 x (fma.f64 x 1/4 -1/2) 1))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x)))) (-.f64 (neg.f64 x) (*.f64 -1/2 (*.f64 x x))))
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(/.f64 (+.f64 (pow.f64 (neg.f64 x) 3) (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3)) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (-.f64 (*.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x))) (*.f64 (neg.f64 x) (*.f64 -1/2 (*.f64 x x))))))
(/.f64 (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3)) (+.f64 (*.f64 x x) (*.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)) (pow.f64 x 3)) (fma.f64 x x (fma.f64 1/4 (pow.f64 x 4) (*.f64 (pow.f64 x 3) -1/2))))
(/.f64 (-.f64 (*.f64 -1/8 (pow.f64 x 6)) (pow.f64 x 3)) (*.f64 (*.f64 x x) (fma.f64 x (fma.f64 x 1/4 -1/2) 1)))
(pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 1)
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) 2)
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) 3)
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 3) 1/3)
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 2))
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/2 -1)))
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -1/2 -1)))))
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 3))
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/2 -1))))
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -1/2 -1))))
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x -1/2 -1))) 1))
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -1/2 -1))))
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(fma.f64 x -1 (*.f64 -1/2 (*.f64 x x)))
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(fma.f64 -1 x (*.f64 -1/2 (*.f64 x x)))
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(*.f64 x (fma.f64 x -1/2 -1))

localize283.0ms (3.2%)

Local error

Found 4 expressions with local error:

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

Compiled 63 to 39 computations (38.1% saved)

series2.0ms (0%)

Counts
4 → 48
Calls

12 calls:

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

rewrite341.0ms (3.9%)

Algorithm
batch-egg-rewrite
Rules
1658×associate-/l*
1020×associate-/r/
634×associate-/l/
434×distribute-rgt-in
406×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01258
126058
2337358
Stop Event
node limit
Counts
4 → 208
Calls
Call 1
Inputs
(/.f64 x (/.f64 (+.f64 x -1) x))
(/.f64 1 (+.f64 x -1))
(/.f64 (+.f64 x -1) x)
(*.f64 -1/2 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x x) (+.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 x x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 1 x)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 x (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (+.f64 x -1))) (/.f64 x (sqrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 x (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x -1))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/2))))))))

simplify108.0ms (1.2%)

Algorithm
egg-herbie
Rules
898×distribute-lft-neg-out
632×*-commutative
564×associate-+r+
528×+-commutative
496×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05286176
115215958
254305938
Stop Event
node limit
Counts
256 → 346
Calls
Call 1
Inputs
(*.f64 -1 (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (*.f64 -1 (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 4))))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 5)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 4)))))
x
(+.f64 1 x)
(+.f64 1 (+.f64 (/.f64 1 x) x))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) x)))
x
(+.f64 1 x)
(+.f64 1 (+.f64 (/.f64 1 x) x))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) x)))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.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)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.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)
(-.f64 1 (/.f64 1 x))
(-.f64 1 (/.f64 1 x))
(-.f64 1 (/.f64 1 x))
1
(-.f64 1 (/.f64 1 x))
(-.f64 1 (/.f64 1 x))
(-.f64 1 (/.f64 1 x))
1
(-.f64 1 (/.f64 1 x))
(-.f64 1 (/.f64 1 x))
(-.f64 1 (/.f64 1 x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x x) (+.f64 x -1)))) 1)
(*.f64 x (/.f64 x (+.f64 x -1)))
(*.f64 (/.f64 (*.f64 x x) (+.f64 x -1)) 1)
(*.f64 1 (/.f64 (*.f64 x x) (+.f64 x -1)))
(*.f64 (/.f64 -1 (-.f64 1 x)) (*.f64 x x))
(*.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (/.f64 1 x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 x (+.f64 x -1))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 x -1))) (/.f64 x (sqrt.f64 (+.f64 x -1))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 x (+.f64 x -1))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x -1))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x -1))) 2) (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x -1))))
(*.f64 (/.f64 x (+.f64 x -1)) x)
(*.f64 (/.f64 x (+.f64 x -1)) (/.f64 x 1))
(*.f64 (neg.f64 x) (/.f64 x (-.f64 1 x)))
(*.f64 (*.f64 (/.f64 x (+.f64 x -1)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (/.f64 x 1) (/.f64 x (+.f64 x -1)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x -1))))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1))) (/.f64 x (sqrt.f64 (/.f64 (+.f64 x -1) x))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x -1) x) 2))) (/.f64 x (cbrt.f64 (/.f64 (+.f64 x -1) x))))
(*.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 (*.f64 x x) x))
(*.f64 (/.f64 x (+.f64 -1 (pow.f64 x 3))) (*.f64 x (fma.f64 x x (+.f64 x 1))))
(*.f64 (/.f64 1 (-.f64 1 x)) (*.f64 x (neg.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (*.f64 (/.f64 (sqrt.f64 x) (+.f64 x -1)) x))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 x -1)) (/.f64 (sqrt.f64 x) (/.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (*.f64 (/.f64 x (+.f64 x -1)) (cbrt.f64 x)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) (+.f64 x -1)) x) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x -1) x) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 (+.f64 x -1) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x -1)) (*.f64 (/.f64 x 1) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 (+.f64 x -1) x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 (+.f64 x -1) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x -1) x) 2))) (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x -1))))
(*.f64 (/.f64 x (-.f64 1 x)) (neg.f64 x))
(*.f64 (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 x -1))) (pow.f64 (+.f64 x -1) -1/2))
(*.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 -1 (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (*.f64 x x) 1) (/.f64 -1 (-.f64 1 x)))
(*.f64 (/.f64 x (/.f64 (+.f64 x -1) (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 x -1) x)) (cbrt.f64 x))
(*.f64 (/.f64 (neg.f64 x) (+.f64 x -1)) (neg.f64 x))
(*.f64 (/.f64 x -1) (/.f64 x (-.f64 1 x)))
(*.f64 (/.f64 (*.f64 x x) (fma.f64 x x -1)) (+.f64 x 1))
(*.f64 (/.f64 x (*.f64 (fma.f64 x x -1) (/.f64 1 x))) (+.f64 x 1))
(*.f64 (/.f64 x (*.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 1 x))) (fma.f64 x x (+.f64 x 1)))
(*.f64 (/.f64 x (/.f64 (+.f64 x -1) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 x (*.f64 (fma.f64 x x -1) 1)) (*.f64 (+.f64 x 1) x))
(*.f64 (/.f64 x (*.f64 (+.f64 -1 (pow.f64 x 3)) 1)) (*.f64 (fma.f64 x x (+.f64 x 1)) x))
(*.f64 (/.f64 1 (/.f64 (+.f64 x -1) (*.f64 (pow.f64 (cbrt.f64 x) 2) x))) (cbrt.f64 x))
(*.f64 (/.f64 (*.f64 x x) (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (+.f64 x 1)))
(*.f64 (/.f64 (*.f64 x x) (-.f64 1 x)) -1)
(*.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 x x -1))) (neg.f64 (+.f64 x 1)))
(*.f64 (/.f64 (*.f64 x x) (neg.f64 (+.f64 -1 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (+.f64 x 1))))
(*.f64 (/.f64 (*.f64 x x) (-.f64 1 (*.f64 x x))) (-.f64 -1 x))
(*.f64 (/.f64 (/.f64 x (+.f64 x -1)) -1) (neg.f64 x))
(*.f64 (/.f64 (/.f64 x (+.f64 x -1)) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 x (+.f64 x -1)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 (neg.f64 x) -1) (/.f64 x (+.f64 x -1)))
(*.f64 (/.f64 (/.f64 x 1) -1) (/.f64 x (-.f64 1 x)))
(*.f64 (/.f64 (/.f64 x 1) 1) (/.f64 x (+.f64 x -1)))
(*.f64 (/.f64 (/.f64 x 1) (sqrt.f64 (+.f64 x -1))) (/.f64 x (sqrt.f64 (+.f64 x -1))))
(*.f64 (/.f64 (/.f64 x 1) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x -1))))
(*.f64 (/.f64 (/.f64 x 1) (fma.f64 x x -1)) (+.f64 (*.f64 x x) x))
(*.f64 (/.f64 (/.f64 x 1) (+.f64 -1 (pow.f64 x 3))) (*.f64 x (fma.f64 x x (+.f64 x 1))))
(*.f64 (/.f64 (/.f64 x 1) (-.f64 1 x)) (neg.f64 x))
(*.f64 (/.f64 (/.f64 x 1) (*.f64 (fma.f64 x x -1) (/.f64 1 x))) (+.f64 x 1))
(*.f64 (/.f64 (/.f64 x 1) (*.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 1 x))) (fma.f64 x x (+.f64 x 1)))
(*.f64 (/.f64 (/.f64 x 1) (/.f64 (+.f64 x -1) (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 x 1) (/.f64 (+.f64 x -1) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 (/.f64 x 1) (*.f64 (fma.f64 x x -1) 1)) (*.f64 (+.f64 x 1) x))
(*.f64 (/.f64 (/.f64 x 1) (*.f64 (+.f64 -1 (pow.f64 x 3)) 1)) (*.f64 (fma.f64 x x (+.f64 x 1)) x))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (/.f64 (+.f64 x -1) x))) 1) (sqrt.f64 (/.f64 x (+.f64 x -1))))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (/.f64 (+.f64 x -1) x))) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 x))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (/.f64 (+.f64 x -1) x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (neg.f64 x)))
(*.f64 (/.f64 (/.f64 x (cbrt.f64 (pow.f64 (/.f64 (+.f64 x -1) x) 2))) 1) (cbrt.f64 (/.f64 x (+.f64 x -1))))
(*.f64 (/.f64 (/.f64 x (cbrt.f64 (pow.f64 (/.f64 (+.f64 x -1) x) 2))) (cbrt.f64 (+.f64 x -1))) (cbrt.f64 x))
(*.f64 (/.f64 (/.f64 x (cbrt.f64 (pow.f64 (/.f64 (+.f64 x -1) x) 2))) (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (neg.f64 x)))
(pow.f64 (/.f64 (*.f64 x x) (+.f64 x -1)) 1)
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 x -1))) 2)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (+.f64 x -1))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x -1)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 x -1) (*.f64 x x)) -1)
(neg.f64 (*.f64 (/.f64 x (-.f64 1 x)) x))
(neg.f64 (*.f64 x (/.f64 x (-.f64 1 x))))
(neg.f64 (*.f64 (*.f64 (/.f64 x (-.f64 1 x)) x) 1))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x -1)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 x (+.f64 x -1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 x x) (+.f64 x -1)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x -1)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 x -1) x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x x) (+.f64 x -1))))
(exp.f64 (log.f64 (/.f64 (*.f64 x x) (+.f64 x -1))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (+.f64 x -1))) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x x) (+.f64 x -1))))
(+.f64 (*.f64 (/.f64 1 (fma.f64 x x -1)) x) (*.f64 (/.f64 1 (fma.f64 x x -1)) 1))
(+.f64 (*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (*.f64 x x)) (*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (+.f64 x 1)))
(+.f64 (*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (+.f64 x 1)) (*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (*.f64 x x)))
(+.f64 (*.f64 x (/.f64 1 (fma.f64 x x -1))) (*.f64 1 (/.f64 1 (fma.f64 x x -1))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 1 (+.f64 -1 (pow.f64 x 3)))) (*.f64 (+.f64 x 1) (/.f64 1 (+.f64 -1 (pow.f64 x 3)))))
(+.f64 (*.f64 (+.f64 x 1) (/.f64 1 (+.f64 -1 (pow.f64 x 3)))) (*.f64 (*.f64 x x) (/.f64 1 (+.f64 -1 (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (-.f64 1 x)))) 1)
(*.f64 -1 (/.f64 1 (-.f64 1 x)))
(*.f64 1 (/.f64 -1 (-.f64 1 x)))
(*.f64 (/.f64 -1 (-.f64 1 x)) 1)
(*.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 -1 (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 -1 (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x 1))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (+.f64 x 1)))
(*.f64 (/.f64 1 (-.f64 1 x)) -1)
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x -1)) -1) (pow.f64 (sqrt.f64 (+.f64 x -1)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x -1)) -1))
(*.f64 (/.f64 (fma.f64 x x (+.f64 x 1)) (+.f64 -1 (pow.f64 (pow.f64 x 3) 3))) (-.f64 (+.f64 (pow.f64 (*.f64 x x) 3) 1) (*.f64 (pow.f64 x 3) -1)))
(*.f64 (/.f64 (fma.f64 x x (+.f64 x 1)) (-.f64 (pow.f64 (*.f64 x x) 3) 1)) (-.f64 (pow.f64 x 3) -1))
(*.f64 (/.f64 -1 (neg.f64 (fma.f64 x x -1))) (+.f64 x 1))
(*.f64 (/.f64 -1 (neg.f64 (+.f64 -1 (pow.f64 x 3)))) (fma.f64 x x (+.f64 x 1)))
(*.f64 (/.f64 1 (neg.f64 (fma.f64 x x -1))) (neg.f64 (+.f64 x 1)))
(*.f64 (/.f64 1 (neg.f64 (+.f64 -1 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (+.f64 x 1))))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 -1 x))
(*.f64 (/.f64 (pow.f64 (+.f64 x -1) -1/2) (sqrt.f64 (+.f64 -1 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x (+.f64 x 1))))
(*.f64 (/.f64 (pow.f64 (+.f64 x -1) -1/2) (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x 1)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 x x (+.f64 x 1))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 x 1)))
(*.f64 (/.f64 (+.f64 x 1) (-.f64 (pow.f64 x 4) 1)) (+.f64 1 (*.f64 x x)))
(*.f64 (/.f64 (+.f64 x 1) (-.f64 (pow.f64 (*.f64 x x) 3) 1)) (+.f64 (pow.f64 x 4) (+.f64 1 (*.f64 x x))))
(pow.f64 (+.f64 x -1) -1)
(pow.f64 (/.f64 -1 (-.f64 1 x)) 1)
(pow.f64 (pow.f64 (+.f64 x -1) -1/2) 2)
(pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 1 x))) 3)
(pow.f64 (/.f64 1 (pow.f64 (+.f64 x -1) 3)) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x -1) -2))
(log.f64 (exp.f64 (/.f64 -1 (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (-.f64 1 x)))))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 x -1) 3)))
(expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 1 x))))
(exp.f64 (neg.f64 (log.f64 (+.f64 x -1))))
(exp.f64 (*.f64 (log.f64 (+.f64 x -1)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x -1))) 1))
(log1p.f64 (expm1.f64 (/.f64 -1 (-.f64 1 x))))
(+.f64 (neg.f64 (/.f64 1 x)) (*.f64 x (/.f64 1 x)))
(+.f64 (*.f64 (/.f64 1 x) x) (*.f64 (/.f64 1 x) -1))
(+.f64 (*.f64 (/.f64 1 x) -1) (*.f64 (/.f64 1 x) x))
(+.f64 (*.f64 x (/.f64 1 x)) (neg.f64 (/.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x -1) x))) 1)
(*.f64 -1 (/.f64 (-.f64 1 x) x))
(*.f64 (+.f64 x -1) (/.f64 1 x))
(*.f64 (+.f64 x -1) (neg.f64 (neg.f64 (/.f64 1 x))))
(*.f64 (/.f64 (+.f64 x -1) x) 1)
(*.f64 1 (/.f64 (+.f64 x -1) x))
(*.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x -1) x)) (sqrt.f64 (/.f64 (+.f64 x -1) x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x -1) x)) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 x -1) x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (*.f64 (cbrt.f64 (+.f64 x -1)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x -1) x)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x -1) x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x -1) x) 2)) (cbrt.f64 (/.f64 (+.f64 x -1) x)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x -1) x) 2)) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 x -1) x)))))
(*.f64 (/.f64 1 x) (+.f64 x -1))
(*.f64 (-.f64 1 x) (neg.f64 (/.f64 1 x)))
(*.f64 (-.f64 1 x) (/.f64 1 (neg.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) x)) (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 x) x))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) x)) (cbrt.f64 (/.f64 (-.f64 1 x) x))) (neg.f64 (cbrt.f64 (/.f64 (-.f64 1 x) x))))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x -1) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x -1) (cbrt.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 x -1) x))) (neg.f64 (sqrt.f64 (/.f64 (+.f64 x -1) x))))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x -1) x) 2))) (neg.f64 (cbrt.f64 (/.f64 (+.f64 x -1) x))))
(*.f64 (/.f64 1 (neg.f64 x)) (-.f64 1 x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) x) (sqrt.f64 (+.f64 x -1)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x -1) x) 2)) 1) (cbrt.f64 (/.f64 (+.f64 x -1) x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) 1) (/.f64 (sqrt.f64 (+.f64 x -1)) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x -1)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x -1)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x -1)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 x -1) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) x) (cbrt.f64 (+.f64 x -1)))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x -1)) 2))) (cbrt.f64 (+.f64 x -1)))
(*.f64 (/.f64 (*.f64 (fma.f64 x x -1) (/.f64 1 x)) (fma.f64 x x -1)) (+.f64 x -1))
(*.f64 (/.f64 (*.f64 (fma.f64 x x -1) (/.f64 1 x)) (-.f64 (pow.f64 x 3) -1)) (+.f64 (*.f64 x x) (-.f64 1 x)))
(*.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 1 x)) (-.f64 (pow.f64 x 4) (*.f64 (+.f64 x 1) (+.f64 x 1)))) (-.f64 (fma.f64 x x -1) x))
(*.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (+.f64 x 1) 3))) (+.f64 (pow.f64 x 4) (*.f64 (+.f64 x 1) (-.f64 (+.f64 x 1) (*.f64 x x)))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 x) x))) (sqrt.f64 (/.f64 (-.f64 1 x) x)))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) x)) (cbrt.f64 (/.f64 (-.f64 1 x) x)))) (cbrt.f64 (/.f64 (-.f64 1 x) x)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 x -1) x)))) (sqrt.f64 (/.f64 (+.f64 x -1) x)))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x -1) x) 2)))) (cbrt.f64 (/.f64 (+.f64 x -1) x)))
(pow.f64 (/.f64 (+.f64 x -1) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x -1) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x -1) x) 3) 1/3)
(pow.f64 (/.f64 x (+.f64 x -1)) -1)
(neg.f64 (/.f64 (-.f64 1 x) x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x -1) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x -1) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x -1) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x -1) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x -1) x)))
(exp.f64 (log.f64 (/.f64 (+.f64 x -1) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x -1) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x -1) x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2)))) 1)
(pow.f64 (*.f64 x (*.f64 x -1/2)) 1)
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/2))))
Outputs
(*.f64 -1 (pow.f64 x 2))
(*.f64 x (neg.f64 x))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (*.f64 -1 (pow.f64 x 2)))
(fma.f64 -1 (pow.f64 x 3) (*.f64 x (neg.f64 x)))
(*.f64 x (*.f64 x (-.f64 -1 x)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 4))))
(fma.f64 -1 (pow.f64 x 3) (*.f64 -1 (+.f64 (*.f64 x x) (pow.f64 x 4))))
(-.f64 (*.f64 x (*.f64 x (-.f64 -1 x))) (pow.f64 x 4))
(*.f64 x (*.f64 x (-.f64 -1 (fma.f64 x x x))))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 5)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 4)))))
(fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (pow.f64 x 5) (*.f64 -1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))
(-.f64 (-.f64 (neg.f64 (fma.f64 x x (pow.f64 x 4))) (pow.f64 x 5)) (pow.f64 x 3))
(-.f64 (*.f64 x (*.f64 x (-.f64 -1 (fma.f64 x x x)))) (pow.f64 x 5))
x
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (/.f64 1 x) x))
(+.f64 1 (+.f64 x (/.f64 1 x)))
(+.f64 x (+.f64 1 (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) x)))
(+.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 x (/.f64 1 x)))
(+.f64 1 (+.f64 (+.f64 x (/.f64 1 x)) (/.f64 1 (*.f64 x x))))
(+.f64 x (+.f64 1 (*.f64 (/.f64 1 x) (+.f64 1 (/.f64 1 x)))))
x
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (/.f64 1 x) x))
(+.f64 1 (+.f64 x (/.f64 1 x)))
(+.f64 x (+.f64 1 (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) x)))
(+.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 x (/.f64 1 x)))
(+.f64 1 (+.f64 (+.f64 x (/.f64 1 x)) (/.f64 1 (*.f64 x x))))
(+.f64 x (+.f64 1 (*.f64 (/.f64 1 x) (+.f64 1 (/.f64 1 x)))))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (*.f64 -1 (fma.f64 x x x)) -1)
(fma.f64 -1 (fma.f64 x x x) -1)
(-.f64 -1 (fma.f64 x x x))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (fma.f64 -1 (pow.f64 x 3) (*.f64 -1 (fma.f64 x x x))) -1)
(+.f64 -1 (-.f64 (*.f64 x (*.f64 x (-.f64 -1 x))) x))
(*.f64 (-.f64 -1 x) (fma.f64 x x 1))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 1 x) (+.f64 1 (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 (/.f64 1 x) (-.f64 -1 (/.f64 1 x))))
(+.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 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(*.f64 (/.f64 1 x) (+.f64 1 (/.f64 1 x)))
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 -1 x) (cbrt.f64 x)))
(/.f64 (/.f64 (+.f64 -1 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 x -1) x))) (neg.f64 (sqrt.f64 (/.f64 (+.f64 x -1) x))))
(+.f64 1 (/.f64 -1 x))
(-.f64 1 (/.f64 1 x))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x -1) x) 2))) (neg.f64 (cbrt.f64 (/.f64 (+.f64 x -1) x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 x)) 2)) (cbrt.f64 (+.f64 1 (/.f64 -1 x))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 (/.f64 1 x))))
(*.f64 (/.f64 1 (neg.f64 x)) (-.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 1 (/.f64 1 x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) x) (sqrt.f64 (+.f64 x -1)))
(+.f64 1 (/.f64 -1 x))
(-.f64 1 (/.f64 1 x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x -1) x) 2)) 1) (cbrt.f64 (/.f64 (+.f64 x -1) x)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 x)) 2)) (cbrt.f64 (+.f64 1 (/.f64 -1 x))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 (/.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) 1) (/.f64 (sqrt.f64 (+.f64 x -1)) x))
(+.f64 1 (/.f64 -1 x))
(-.f64 1 (/.f64 1 x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x -1)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 -1 x) (cbrt.f64 x)))
(/.f64 (/.f64 (+.f64 -1 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x -1)) x))
(+.f64 1 (/.f64 -1 x))
(-.f64 1 (/.f64 1 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x -1)) (sqrt.f64 x)))
(*.f64 (/.f64 (+.f64 -1 x) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))
(/.f64 (/.f64 (+.f64 -1 x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 x -1) x)))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1 x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) x) (cbrt.f64 (+.f64 x -1)))
(+.f64 1 (/.f64 -1 x))
(-.f64 1 (/.f64 1 x))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x -1)) 2))) (cbrt.f64 (+.f64 x -1)))
(+.f64 1 (/.f64 -1 x))
(-.f64 1 (/.f64 1 x))
(*.f64 (/.f64 (*.f64 (fma.f64 x x -1) (/.f64 1 x)) (fma.f64 x x -1)) (+.f64 x -1))
(*.f64 (+.f64 -1 x) (/.f64 (/.f64 (fma.f64 x x -1) x) (fma.f64 x x -1)))
(*.f64 (+.f64 -1 x) (/.f64 (fma.f64 x x -1) (*.f64 (fma.f64 x x -1) x)))
(*.f64 (/.f64 (*.f64 (fma.f64 x x -1) (/.f64 1 x)) (-.f64 (pow.f64 x 3) -1)) (+.f64 (*.f64 x x) (-.f64 1 x)))
(*.f64 (/.f64 (/.f64 (fma.f64 x x -1) x) (+.f64 (pow.f64 x 3) 1)) (fma.f64 x x (-.f64 1 x)))
(/.f64 (*.f64 (/.f64 (fma.f64 x x -1) x) (-.f64 (fma.f64 x x 1) x)) (+.f64 (pow.f64 x 3) 1))
(*.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 1 x)) (-.f64 (pow.f64 x 4) (*.f64 (+.f64 x 1) (+.f64 x 1)))) (-.f64 (fma.f64 x x -1) x))
(*.f64 (/.f64 (/.f64 (+.f64 -1 (pow.f64 x 3)) x) (-.f64 (pow.f64 x 4) (*.f64 (+.f64 x 1) (+.f64 x 1)))) (-.f64 (fma.f64 x x -1) x))
(*.f64 (/.f64 (/.f64 (+.f64 -1 (pow.f64 x 3)) x) (+.f64 (pow.f64 x 4) (*.f64 (+.f64 x 1) (-.f64 -1 x)))) (-.f64 (fma.f64 x x -1) x))
(*.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (+.f64 x 1) 3))) (+.f64 (pow.f64 x 4) (*.f64 (+.f64 x 1) (-.f64 (+.f64 x 1) (*.f64 x x)))))
(*.f64 (/.f64 (/.f64 (+.f64 -1 (pow.f64 x 3)) x) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (+.f64 x 1) 3))) (+.f64 (pow.f64 x 4) (*.f64 (+.f64 x 1) (+.f64 x (-.f64 1 (*.f64 x x))))))
(*.f64 (/.f64 (/.f64 (+.f64 -1 (pow.f64 x 3)) x) (+.f64 (pow.f64 x 6) (pow.f64 (+.f64 x 1) 3))) (fma.f64 (+.f64 x 1) (-.f64 (+.f64 x 1) (*.f64 x x)) (pow.f64 x 4)))
(/.f64 (*.f64 (/.f64 (+.f64 -1 (pow.f64 x 3)) x) (fma.f64 (+.f64 x 1) (+.f64 x (-.f64 1 (*.f64 x x))) (pow.f64 x 4))) (+.f64 (pow.f64 x 6) (pow.f64 (+.f64 x 1) 3)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 x) x))) (sqrt.f64 (/.f64 (-.f64 1 x) x)))
(+.f64 1 (/.f64 -1 x))
(-.f64 1 (/.f64 1 x))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) x)) (cbrt.f64 (/.f64 (-.f64 1 x) x)))) (cbrt.f64 (/.f64 (-.f64 1 x) x)))
(+.f64 1 (/.f64 -1 x))
(-.f64 1 (/.f64 1 x))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 x -1) x)))) (sqrt.f64 (/.f64 (+.f64 x -1) x)))
(+.f64 1 (/.f64 -1 x))
(-.f64 1 (/.f64 1 x))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x -1) x) 2)))) (cbrt.f64 (/.f64 (+.f64 x -1) x)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 x)) 2)) (cbrt.f64 (+.f64 1 (/.f64 -1 x))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 (/.f64 1 x))))
(pow.f64 (/.f64 (+.f64 x -1) x) 1)
(+.f64 1 (/.f64 -1 x))
(-.f64 1 (/.f64 1 x))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x -1) x)) 2)
(+.f64 1 (/.f64 -1 x))
(-.f64 1 (/.f64 1 x))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) x)) 3)
(+.f64 1 (/.f64 -1 x))
(-.f64 1 (/.f64 1 x))
(pow.f64 (pow.f64 (/.f64 (+.f64 x -1) x) 3) 1/3)
(+.f64 1 (/.f64 -1 x))
(-.f64 1 (/.f64 1 x))
(pow.f64 (/.f64 x (+.f64 x -1)) -1)
(+.f64 1 (/.f64 -1 x))
(-.f64 1 (/.f64 1 x))
(neg.f64 (/.f64 (-.f64 1 x) x))
(+.f64 1 (/.f64 -1 x))
(-.f64 1 (/.f64 1 x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x -1) x) 2))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 -1 x)) 2))
(fabs.f64 (+.f64 1 (/.f64 -1 x)))
(fabs.f64 (-.f64 1 (/.f64 1 x)))
(log.f64 (exp.f64 (/.f64 (+.f64 x -1) x)))
(+.f64 1 (/.f64 -1 x))
(-.f64 1 (/.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x -1) x))))
(+.f64 1 (/.f64 -1 x))
(-.f64 1 (/.f64 1 x))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x -1) x) 3))
(+.f64 1 (/.f64 -1 x))
(-.f64 1 (/.f64 1 x))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 x 3)))
(+.f64 1 (/.f64 -1 x))
(-.f64 1 (/.f64 1 x))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x -1) x)))
(+.f64 1 (/.f64 -1 x))
(-.f64 1 (/.f64 1 x))
(exp.f64 (log.f64 (/.f64 (+.f64 x -1) x)))
(+.f64 1 (/.f64 -1 x))
(-.f64 1 (/.f64 1 x))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x -1) x)) 1))
(+.f64 1 (/.f64 -1 x))
(-.f64 1 (/.f64 1 x))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x -1) x)))
(+.f64 1 (/.f64 -1 x))
(-.f64 1 (/.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2)))) 1)
(*.f64 x (*.f64 x -1/2))
(pow.f64 (*.f64 x (*.f64 x -1/2)) 1)
(*.f64 x (*.f64 x -1/2))
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 3)
(*.f64 x (*.f64 x -1/2))
(pow.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) 1/3)
(*.f64 x (*.f64 x -1/2))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))
(*.f64 x (*.f64 x -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))))
(*.f64 x (*.f64 x -1/2))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3))
(*.f64 x (*.f64 x -1/2))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2))))
(*.f64 x (*.f64 x -1/2))
(exp.f64 (log.f64 (*.f64 x (*.f64 x -1/2))))
(*.f64 x (*.f64 x -1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/2))) 1))
(*.f64 x (*.f64 x -1/2))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/2))))
(*.f64 x (*.f64 x -1/2))

eval209.0ms (2.4%)

Compiler

Compiled 9672 to 6443 computations (33.4% saved)

prune76.0ms (0.9%)

Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New3863389
Fresh011
Picked011
Done044
Total3869395
Error
0.0b
Counts
395 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
0.4b
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) (/.f64 1 (+.f64 x -1))) (/.f64 x (/.f64 (+.f64 x -1) x)))
0.4b
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) (/.f64 1 (+.f64 x -1))) (*.f64 x (*.f64 x (-.f64 -1 x))))
0.4b
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 -1 (-.f64 (*.f64 x (*.f64 x (-.f64 -1 x))) x))) (/.f64 x (/.f64 (+.f64 x -1) x)))
0.4b
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 (-.f64 -1 x) (fma.f64 x x 1))) (/.f64 x (/.f64 (+.f64 x -1) x)))
0.4b
(-.f64 (*.f64 x (+.f64 -1 (*.f64 x -1/2))) 1)
0.7b
(-.f64 -1 x)
0.4b
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))
1.1b
-1
Compiler

Compiled 122 to 85 computations (30.3% saved)

regimes15.0ms (0.2%)

Counts
12 → 1
Calls
Call 1
Inputs
-1
(-.f64 -1 x)
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))
(-.f64 (*.f64 x (+.f64 -1 (*.f64 x -1/2))) 1)
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) (/.f64 1 (+.f64 x -1))) (*.f64 x (*.f64 x (-.f64 -1 x))))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) (/.f64 1 (+.f64 x -1))) (/.f64 x (/.f64 (+.f64 x -1) x)))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 -1 (-.f64 (*.f64 x (*.f64 x (-.f64 -1 x))) x))) (/.f64 x (/.f64 (+.f64 x -1) x)))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 (-.f64 -1 x) (fma.f64 x x 1))) (/.f64 x (/.f64 (+.f64 x -1) x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Calls

2 calls:

8.0ms
x
3.0ms
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Compiler

Compiled 152 to 99 computations (34.9% saved)

regimes10.0ms (0.1%)

Counts
10 → 1
Calls
Call 1
Inputs
-1
(-.f64 -1 x)
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))
(-.f64 (*.f64 x (+.f64 -1 (*.f64 x -1/2))) 1)
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) (/.f64 1 (+.f64 x -1))) (*.f64 x (*.f64 x (-.f64 -1 x))))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) (/.f64 1 (+.f64 x -1))) (/.f64 x (/.f64 (+.f64 x -1) x)))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 -1 (-.f64 (*.f64 x (*.f64 x (-.f64 -1 x))) x))) (/.f64 x (/.f64 (+.f64 x -1) x)))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 (-.f64 -1 x) (fma.f64 x x 1))) (/.f64 x (/.f64 (+.f64 x -1) x)))
Outputs
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 -1 (-.f64 (*.f64 x (*.f64 x (-.f64 -1 x))) x))) (/.f64 x (/.f64 (+.f64 x -1) x)))
Calls

1 calls:

7.0ms
x
Results
ErrorSegmentsBranch
0.4b1x
Compiler

Compiled 127 to 81 computations (36.2% saved)

regimes6.0ms (0.1%)

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

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
0.4b1x
Compiler

Compiled 63 to 43 computations (31.7% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.4b remaining (-65.7%)

Threshold costs -0.4b (-65.7%)

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

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
0.7b1x
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Rules
18×+-commutative
14×*-commutative
10×sub-neg
neg-mul-1
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025125
141125
249125
352125
453125
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 -1 (-.f64 (*.f64 x (*.f64 x (-.f64 -1 x))) x))) (/.f64 x (/.f64 (+.f64 x -1) x)))
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))
(-.f64 -1 x)
-1
Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 -1 (-.f64 (*.f64 x (*.f64 x (-.f64 -1 x))) x))) (/.f64 x (/.f64 (+.f64 x -1) x)))
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
(-.f64 -1 x)
-1
Compiler

Compiled 49 to 34 computations (30.6% saved)

soundness32.0ms (0.4%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01021
11619
22119
32819
43519
54519
66419
77819
88219
Stop Event
saturated
Compiler

Compiled 34 to 23 computations (32.4% saved)

end36.0ms (0.4%)

Compiler

Compiled 45 to 30 computations (33.3% saved)

Profiling

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