Details

Time bar (total: 2.0s)

analyze5.0ms (0.3%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%100%0%0%0%0%3
50%50%50%0%0%0%0%4
75%75%25%0%0%0%0%5
87.5%87.5%12.5%0%0%0%0%6
93.8%93.7%6.2%0%0%0%0%7
96.9%96.8%3.1%0%0%0%0%8
98.4%98.4%1.6%0%0%0%0%9
99.2%99.2%0.8%0%0%0%0%10
99.6%99.6%0.4%0%0%0%0%11
99.8%99.8%0.2%0%0%0%0%12
Compiler

Compiled 13 to 10 computations (23.1% saved)

sample1.4s (72.7%)

Results
1.4s8256×body256valid
Bogosity

preprocess13.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 13 to 10 computations (23.1% saved)

simplify20.0ms (1%)

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

Useful iterations: 0 (0.0ms)

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

eval1.0ms (0%)

Compiler

Compiled 23 to 17 computations (26.1% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Compiled 12 to 9 computations (25% saved)

localize12.0ms (0.6%)

Local error

Found 2 expressions with local error:

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

Compiled 30 to 21 computations (30% saved)

series12.0ms (0.6%)

Counts
2 → 0
Calls

6 calls:

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

Compiled 1210 to 970 computations (19.8% saved)

rewrite47.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
850×pow1_binary64
793×add-log-exp_binary64
793×log1p-expm1-u_binary64
793×expm1-log1p-u_binary64
777×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
115914
2223214
Stop Event
node limit
Counts
2 → 55
Calls
Call 1
Inputs
(/.f64 1 (-.f64 x 1))
(/.f64 x (+.f64 x 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 (neg.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x -1)) -1) (pow.f64 (sqrt.f64 (+.f64 x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -1)) (fma.f64 x x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x -1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 x -1))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2) (cbrt.f64 (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) (sqrt.f64 (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (/.f64 x (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (log1p.f64 x)))))))

simplify69.0ms (3.5%)

Algorithm
egg-herbie
Rules
511×fma-def_binary64
414×unswap-sqr_binary64
295×distribute-rgt-in_binary64
290×times-frac_binary64
277×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0139761
1351606
21068474
34431474
Stop Event
node limit
Counts
55 → 76
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 1)
(*.f64 1 (/.f64 1 (+.f64 x -1)))
(*.f64 (/.f64 1 (+.f64 x -1)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))))
(*.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2))
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 x) 1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x -1)) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x -1)) -1) (pow.f64 (sqrt.f64 (+.f64 x -1)) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -1)) (fma.f64 x x (+.f64 1 x)))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 1 x))
(pow.f64 (+.f64 x -1) -1)
(pow.f64 (/.f64 1 (+.f64 x -1)) 1)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 x -1)) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) 3)
(pow.f64 (pow.f64 (+.f64 x -1) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 x -1) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x -1)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))))
(exp.f64 (neg.f64 (log.f64 (+.f64 x -1))))
(-.f64 (+.f64 1 (/.f64 x (+.f64 1 x))) 1)
(*.f64 1 (/.f64 x (+.f64 1 x)))
(*.f64 x (/.f64 1 (+.f64 1 x)))
(*.f64 (/.f64 x (+.f64 1 x)) 1)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2) (cbrt.f64 (/.f64 x (+.f64 1 x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) (sqrt.f64 (/.f64 x (+.f64 1 x))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 x))))
(*.f64 (/.f64 1 (+.f64 1 x)) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (+.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (/.f64 x (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1))
(pow.f64 (/.f64 x (+.f64 1 x)) 1)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) 2)
(pow.f64 (/.f64 (+.f64 1 x) x) -1)
(neg.f64 (/.f64 x (+.f64 -1 (neg.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 x))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 x))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 x)))
Outputs
(-.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1)) 1))
(+.f64 (/.f64 1 (+.f64 x -1)) 0)
(/.f64 1 (+.f64 x -1))
(*.f64 1 (/.f64 1 (+.f64 x -1)))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1)) 1))
(+.f64 (/.f64 1 (+.f64 x -1)) 0)
(/.f64 1 (+.f64 x -1))
(*.f64 (/.f64 1 (+.f64 x -1)) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1)) 1))
(+.f64 (/.f64 1 (+.f64 x -1)) 0)
(/.f64 1 (+.f64 x -1))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) 1) (cbrt.f64 (+.f64 x -1)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (cbrt.f64 (+.f64 x -1)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) 1) (cbrt.f64 (+.f64 x -1)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (cbrt.f64 (+.f64 x -1)))
(*.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1)) 1))
(+.f64 (/.f64 1 (+.f64 x -1)) 0)
(/.f64 1 (+.f64 x -1))
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 x) 1)))
(/.f64 -1 (-.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x -1)) -1))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1)) 1))
(+.f64 (/.f64 1 (+.f64 x -1)) 0)
(/.f64 1 (+.f64 x -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x -1)) -1) (pow.f64 (sqrt.f64 (+.f64 x -1)) -1))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1)) 1))
(+.f64 (/.f64 1 (+.f64 x -1)) 0)
(/.f64 1 (+.f64 x -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -1)) (fma.f64 x x (+.f64 1 x)))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (+.f64 1 x)))
(/.f64 (fma.f64 x x (+.f64 1 x)) (+.f64 -1 (pow.f64 x 3)))
(/.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 -1 (pow.f64 x 3)))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1)) 1))
(+.f64 (/.f64 1 (+.f64 x -1)) 0)
(/.f64 1 (+.f64 x -1))
(pow.f64 (+.f64 x -1) -1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1)) 1))
(+.f64 (/.f64 1 (+.f64 x -1)) 0)
(/.f64 1 (+.f64 x -1))
(pow.f64 (/.f64 1 (+.f64 x -1)) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1)) 1))
(+.f64 (/.f64 1 (+.f64 x -1)) 0)
(/.f64 1 (+.f64 x -1))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 x -1)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1)) 1))
(+.f64 (/.f64 1 (+.f64 x -1)) 0)
(/.f64 1 (+.f64 x -1))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) 3)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1)) 1))
(+.f64 (/.f64 1 (+.f64 x -1)) 0)
(/.f64 1 (+.f64 x -1))
(pow.f64 (pow.f64 (+.f64 x -1) -1/2) 2)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1)) 1))
(+.f64 (/.f64 1 (+.f64 x -1)) 0)
(/.f64 1 (+.f64 x -1))
(sqrt.f64 (pow.f64 (+.f64 x -1) -2))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1)) 1))
(+.f64 (/.f64 1 (+.f64 x -1)) 0)
(/.f64 1 (+.f64 x -1))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1)) 1))
(+.f64 (/.f64 1 (+.f64 x -1)) 0)
(/.f64 1 (+.f64 x -1))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x -1)) 3))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1)) 1))
(+.f64 (/.f64 1 (+.f64 x -1)) 0)
(/.f64 1 (+.f64 x -1))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1)) 1))
(+.f64 (/.f64 1 (+.f64 x -1)) 0)
(/.f64 1 (+.f64 x -1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1)) 1))
(+.f64 (/.f64 1 (+.f64 x -1)) 0)
(/.f64 1 (+.f64 x -1))
(exp.f64 (neg.f64 (log.f64 (+.f64 x -1))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x -1)) 1))
(+.f64 (/.f64 1 (+.f64 x -1)) 0)
(/.f64 1 (+.f64 x -1))
(-.f64 (+.f64 1 (/.f64 x (+.f64 1 x))) 1)
(+.f64 1 (-.f64 (/.f64 x (+.f64 1 x)) 1))
(+.f64 (/.f64 x (+.f64 1 x)) 0)
(/.f64 x (+.f64 1 x))
(*.f64 1 (/.f64 x (+.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 x (+.f64 1 x)) 1))
(+.f64 (/.f64 x (+.f64 1 x)) 0)
(/.f64 x (+.f64 1 x))
(*.f64 x (/.f64 1 (+.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 x (+.f64 1 x)) 1))
(+.f64 (/.f64 x (+.f64 1 x)) 0)
(/.f64 x (+.f64 1 x))
(*.f64 (/.f64 x (+.f64 1 x)) 1)
(+.f64 1 (-.f64 (/.f64 x (+.f64 1 x)) 1))
(+.f64 (/.f64 x (+.f64 1 x)) 0)
(/.f64 x (+.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 1 x)) 1))
(+.f64 (/.f64 x (+.f64 1 x)) 0)
(/.f64 x (+.f64 1 x))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2))
(+.f64 1 (-.f64 (/.f64 x (+.f64 1 x)) 1))
(+.f64 (/.f64 x (+.f64 1 x)) 0)
(/.f64 x (+.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2) (cbrt.f64 (/.f64 x (+.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 1 x)) 1))
(+.f64 (/.f64 x (+.f64 1 x)) 0)
(/.f64 x (+.f64 1 x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 1 x)) 1))
(+.f64 (/.f64 x (+.f64 1 x)) 0)
(/.f64 x (+.f64 1 x))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) (sqrt.f64 (/.f64 x (+.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 1 x)) 1))
(+.f64 (/.f64 x (+.f64 1 x)) 0)
(/.f64 x (+.f64 1 x))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 x))))
(/.f64 (*.f64 (neg.f64 x) 1) (-.f64 -1 x))
(/.f64 (neg.f64 x) (-.f64 -1 x))
(*.f64 (/.f64 1 (+.f64 1 x)) x)
(+.f64 1 (-.f64 (/.f64 x (+.f64 1 x)) 1))
(+.f64 (/.f64 x (+.f64 1 x)) 0)
(/.f64 x (+.f64 1 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 x (+.f64 1 x)) 1))
(+.f64 (/.f64 x (+.f64 1 x)) 0)
(/.f64 x (+.f64 1 x))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 x (+.f64 1 x)) 1))
(+.f64 (/.f64 x (+.f64 1 x)) 0)
(/.f64 x (+.f64 1 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (+.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 1 x)) 1))
(+.f64 (/.f64 x (+.f64 1 x)) 0)
(/.f64 x (+.f64 1 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))
(/.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 1 x)) 1))
(+.f64 (/.f64 x (+.f64 1 x)) 0)
(/.f64 x (+.f64 1 x))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (/.f64 x (hypot.f64 1 (sqrt.f64 x))))
(/.f64 (/.f64 x (hypot.f64 1 (sqrt.f64 x))) (hypot.f64 1 (sqrt.f64 x)))
(/.f64 x (*.f64 (hypot.f64 1 (sqrt.f64 x)) (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (/.f64 x (hypot.f64 1 (sqrt.f64 x))))
(/.f64 (/.f64 x (hypot.f64 1 (sqrt.f64 x))) (hypot.f64 1 (sqrt.f64 x)))
(/.f64 x (*.f64 (hypot.f64 1 (sqrt.f64 x)) (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))
(/.f64 (*.f64 x (-.f64 (fma.f64 x x 1) x)) (+.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1))
(+.f64 1 (-.f64 (/.f64 x (+.f64 1 x)) 1))
(+.f64 (/.f64 x (+.f64 1 x)) 0)
(/.f64 x (+.f64 1 x))
(pow.f64 (/.f64 x (+.f64 1 x)) 1)
(+.f64 1 (-.f64 (/.f64 x (+.f64 1 x)) 1))
(+.f64 (/.f64 x (+.f64 1 x)) 0)
(/.f64 x (+.f64 1 x))
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 x (+.f64 1 x)) 1))
(+.f64 (/.f64 x (+.f64 1 x)) 0)
(/.f64 x (+.f64 1 x))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 3)
(+.f64 1 (-.f64 (/.f64 x (+.f64 1 x)) 1))
(+.f64 (/.f64 x (+.f64 1 x)) 0)
(/.f64 x (+.f64 1 x))
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) 2)
(+.f64 1 (-.f64 (/.f64 x (+.f64 1 x)) 1))
(+.f64 (/.f64 x (+.f64 1 x)) 0)
(/.f64 x (+.f64 1 x))
(pow.f64 (/.f64 (+.f64 1 x) x) -1)
(+.f64 1 (-.f64 (/.f64 x (+.f64 1 x)) 1))
(+.f64 (/.f64 x (+.f64 1 x)) 0)
(/.f64 x (+.f64 1 x))
(neg.f64 (/.f64 x (+.f64 -1 (neg.f64 x))))
(/.f64 (*.f64 (neg.f64 x) 1) (-.f64 -1 x))
(/.f64 (neg.f64 x) (-.f64 -1 x))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2))
(+.f64 1 (-.f64 (/.f64 x (+.f64 1 x)) 1))
(+.f64 (/.f64 x (+.f64 1 x)) 0)
(/.f64 x (+.f64 1 x))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 1 x)) 1))
(+.f64 (/.f64 x (+.f64 1 x)) 0)
(/.f64 x (+.f64 1 x))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 3))
(+.f64 1 (-.f64 (/.f64 x (+.f64 1 x)) 1))
(+.f64 (/.f64 x (+.f64 1 x)) 0)
(/.f64 x (+.f64 1 x))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 x) 3)))
(+.f64 1 (-.f64 (/.f64 x (+.f64 1 x)) 1))
(+.f64 (/.f64 x (+.f64 1 x)) 0)
(/.f64 x (+.f64 1 x))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 1 x)) 1))
(+.f64 (/.f64 x (+.f64 1 x)) 0)
(/.f64 x (+.f64 1 x))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 1 x)) 1))
(+.f64 (/.f64 x (+.f64 1 x)) 0)
(/.f64 x (+.f64 1 x))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 x)))
(/.f64 x (exp.f64 (log1p.f64 x)))

eval24.0ms (1.2%)

Compiler

Compiled 1208 to 897 computations (25.7% saved)

prune9.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New75176
Fresh000
Picked011
Done000
Total75277
Error
0b
Counts
77 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (+.f64 1 (-.f64 (/.f64 x (+.f64 1 x)) 1)))
Compiler

Compiled 28 to 22 computations (21.4% saved)

localize20.0ms (1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 x (+.f64 1 x))
0.0b
(/.f64 1 (-.f64 x 1))
2.3b
(-.f64 (/.f64 x (+.f64 1 x)) 1)
2.5b
(+.f64 1 (-.f64 (/.f64 x (+.f64 1 x)) 1))
Compiler

Compiled 50 to 37 computations (26% saved)

series16.0ms (0.8%)

Counts
3 → 0
Calls

9 calls:

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

Compiled 1700 to 1350 computations (20.6% saved)

rewrite79.0ms (4%)

Algorithm
batch-egg-rewrite
Rules
930×pow1_binary64
873×add-log-exp_binary64
872×log1p-expm1-u_binary64
872×expm1-log1p-u_binary64
90×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0736
116924
2262424
Stop Event
node limit
Counts
3 → 145
Calls
Call 1
Inputs
(+.f64 1 (-.f64 (/.f64 x (+.f64 1 x)) 1))
(-.f64 (/.f64 x (+.f64 1 x)) 1)
(/.f64 x (+.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (+.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 (-.f64 1 (/.f64 x (+.f64 1 x))) 1)) (/.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 2) (+.f64 (-.f64 1 (/.f64 x (+.f64 1 x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 1 (+.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2)) 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x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (+.f64 (neg.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 2) (+.f64 (/.f64 x (+.f64 1 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 2) (+.f64 (-.f64 1 (/.f64 x (+.f64 1 x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 2)) (+.f64 (-.f64 1 (/.f64 x (+.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 x)) (neg.f64 (+.f64 (neg.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 1 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 x (+.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 x (+.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (+.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 (-.f64 1 (/.f64 x (+.f64 1 x))) 1)) (/.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 2) (+.f64 (-.f64 1 (/.f64 x (+.f64 1 x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 1 (+.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 x)) 1)))) 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(sqrt.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1)) 1)))))

simplify55.0ms (2.8%)

Algorithm
egg-herbie
Rules
878×fma-neg_binary64
464×unswap-sqr_binary64
234×distribute-rgt-neg-in_binary64
228×div-sub_binary64
208×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02232136
15352023
222871994
Stop Event
node limit
Counts
145 → 131
Calls
Call 1
Inputs
(-.f64 (/.f64 x (+.f64 1 x)) 0)
(-.f64 (+.f64 1 (/.f64 x (+.f64 1 x))) 1)
(-.f64 (/.f64 1 (+.f64 (-.f64 1 (/.f64 x (+.f64 1 x))) 1)) (/.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 2) (+.f64 (-.f64 1 (/.f64 x (+.f64 1 x))) 1)))
(*.f64 1 (/.f64 x (+.f64 1 x)))
(*.f64 x (/.f64 1 (+.f64 1 x)))
(*.f64 x (*.f64 (/.f64 1 (+.f64 1 x)) 1))
(*.f64 (/.f64 x (+.f64 1 x)) 1)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (+.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (*.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 1))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) (sqrt.f64 (/.f64 x (+.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) (*.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) 1))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 x) -1)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 2) (+.f64 (/.f64 x (+.f64 1 x)) -1)))))
(*.f64 (/.f64 1 (+.f64 1 x)) x)
(*.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 2)) (/.f64 1 (+.f64 (-.f64 1 (/.f64 x (+.f64 1 x))) 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (+.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (/.f64 x (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (-.f64 (+.f64 1 (*.f64 x x)) x))
(*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(/.f64 1 (/.f64 (+.f64 1 x) x))
(/.f64 1 (/.f64 (/.f64 (+.f64 1 x) x) 1))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 2) (+.f64 (/.f64 x (+.f64 1 x)) -1))) (+.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 3))))
(/.f64 1 (/.f64 (+.f64 (-.f64 1 (/.f64 x (+.f64 1 x))) 1) (-.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 2))))
(/.f64 x (+.f64 1 x))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 1 x) (cbrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 x) (sqrt.f64 x)))
(/.f64 (neg.f64 x) (+.f64 (neg.f64 x) -1))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 2) (+.f64 (/.f64 x (+.f64 1 x)) -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 2) (+.f64 (-.f64 1 (/.f64 x (+.f64 1 x))) 1)))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 1 x) x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 2)) (+.f64 (-.f64 1 (/.f64 x (+.f64 1 x))) 1))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (+.f64 (neg.f64 x) -1)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 2) (+.f64 (/.f64 x (+.f64 1 x)) -1)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 2))) (neg.f64 (+.f64 (-.f64 1 (/.f64 x (+.f64 1 x))) 1)))
(/.f64 (*.f64 (neg.f64 x) 1) (+.f64 (neg.f64 x) -1))
(/.f64 (/.f64 x (hypot.f64 1 (sqrt.f64 x))) (hypot.f64 1 (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 x (+.f64 1 x))) 3) 1) (+.f64 (*.f64 (+.f64 1 (/.f64 x (+.f64 1 x))) (+.f64 1 (/.f64 x (+.f64 1 x)))) (+.f64 1 (+.f64 1 (/.f64 x (+.f64 1 x))))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 x (+.f64 1 x))) (+.f64 1 (/.f64 x (+.f64 1 x)))) 1) (+.f64 (+.f64 1 (/.f64 x (+.f64 1 x))) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 2) 1) (-.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 1))
(/.f64 (/.f64 x 1) (+.f64 1 x))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 x)))
(pow.f64 (/.f64 x (+.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) 2)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 1 x) x) -1)
(neg.f64 (/.f64 x (+.f64 (neg.f64 x) -1)))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 x))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 x)))
(fma.f64 1 (+.f64 (/.f64 x (+.f64 1 x)) -1) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1)) 1)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1)) (sqrt.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1)) 1)
(+.f64 (/.f64 x (+.f64 1 x)) -1)
(+.f64 -1 (/.f64 x (+.f64 1 x)))
(*.f64 1 (+.f64 (/.f64 x (+.f64 1 x)) -1))
(*.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1)) (sqrt.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1)))
(*.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (+.f64 1 (/.f64 x (+.f64 1 x))))))
(*.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) -1) (/.f64 1 (+.f64 1 (/.f64 x (+.f64 1 x)))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) 1) (-.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (+.f64 1 (/.f64 x (+.f64 1 x)))) (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 3) -1)))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 x (+.f64 1 x))) (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) -1)))
(/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 3) -1) (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (+.f64 1 (/.f64 x (+.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 3) -1) (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (-.f64 1 (*.f64 (/.f64 x (+.f64 1 x)) -1))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) -1) (+.f64 1 (/.f64 x (+.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) -1) (-.f64 (/.f64 x (+.f64 1 x)) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (+.f64 1 (/.f64 x (+.f64 1 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) -1)) (neg.f64 (+.f64 1 (/.f64 x (+.f64 1 x)))))
(pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1)) 3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1)) 2)
(pow.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 3))
(expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1)))
(exp.f64 (log.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1)))
(fma.f64 1 (/.f64 x (+.f64 1 x)) -1)
(fma.f64 x (/.f64 1 (+.f64 1 x)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (+.f64 1 x))) -1)
(fma.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) (sqrt.f64 (/.f64 x (+.f64 1 x))) -1)
(+.f64 1 (+.f64 (/.f64 x (+.f64 1 x)) -1))
(+.f64 (/.f64 x (+.f64 1 x)) 0)
(+.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 1)
(+.f64 (+.f64 1 (/.f64 x (+.f64 1 x))) -1)
(-.f64 (/.f64 x (+.f64 1 x)) 0)
(-.f64 (+.f64 1 (/.f64 x (+.f64 1 x))) 1)
(-.f64 (/.f64 1 (+.f64 (-.f64 1 (/.f64 x (+.f64 1 x))) 1)) (/.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 2) (+.f64 (-.f64 1 (/.f64 x (+.f64 1 x))) 1)))
(*.f64 1 (/.f64 x (+.f64 1 x)))
(*.f64 x (/.f64 1 (+.f64 1 x)))
(*.f64 x (*.f64 (/.f64 1 (+.f64 1 x)) 1))
(*.f64 (/.f64 x (+.f64 1 x)) 1)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (+.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (*.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 1))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) (sqrt.f64 (/.f64 x (+.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) (*.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) 1))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 x) -1)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 2) (+.f64 (/.f64 x (+.f64 1 x)) -1)))))
(*.f64 (/.f64 1 (+.f64 1 x)) x)
(*.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 2)) (/.f64 1 (+.f64 (-.f64 1 (/.f64 x (+.f64 1 x))) 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (+.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (/.f64 x (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (-.f64 (+.f64 1 (*.f64 x x)) x))
(*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(pow.f64 (/.f64 x (+.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) 2)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 1 x) x) -1)
(neg.f64 (/.f64 x (+.f64 (neg.f64 x) -1)))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 x))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 x)))
(fma.f64 1 (+.f64 (/.f64 x (+.f64 1 x)) -1) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1)) 1)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1)) (sqrt.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1)) 1)
Outputs
(-.f64 (/.f64 x (+.f64 1 x)) 0)
(/.f64 x (+.f64 x 1))
(-.f64 (+.f64 1 (/.f64 x (+.f64 1 x))) 1)
(/.f64 x (+.f64 x 1))
(-.f64 (/.f64 1 (+.f64 (-.f64 1 (/.f64 x (+.f64 1 x))) 1)) (/.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 2) (+.f64 (-.f64 1 (/.f64 x (+.f64 1 x))) 1)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 2)) (+.f64 1 (-.f64 1 (/.f64 x (+.f64 x 1)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 2)) (+.f64 2 (/.f64 x (-.f64 -1 x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 2)) (+.f64 (/.f64 x (+.f64 x 1)) -2))
(*.f64 1 (/.f64 x (+.f64 1 x)))
(/.f64 x (+.f64 x 1))
(*.f64 x (/.f64 1 (+.f64 1 x)))
(/.f64 x (+.f64 x 1))
(*.f64 x (*.f64 (/.f64 1 (+.f64 1 x)) 1))
(/.f64 x (+.f64 x 1))
(*.f64 (/.f64 x (+.f64 1 x)) 1)
(/.f64 x (+.f64 x 1))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 x))))
(/.f64 x (+.f64 x 1))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2)) (*.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 1))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 x))))
(/.f64 x (+.f64 x 1))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) (sqrt.f64 (/.f64 x (+.f64 1 x))))
(/.f64 x (+.f64 x 1))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) (*.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) 1))
(/.f64 x (+.f64 x 1))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 x) -1)))
(/.f64 x (+.f64 x 1))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 2) (+.f64 (/.f64 x (+.f64 1 x)) -1)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 2) (+.f64 (/.f64 x (+.f64 x 1)) -1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 3)) (+.f64 1 (*.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) (+.f64 (/.f64 x (+.f64 x 1)) -2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 3)) (fma.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) (+.f64 (/.f64 x (+.f64 x 1)) -2) 1))
(*.f64 (/.f64 1 (+.f64 1 x)) x)
(/.f64 x (+.f64 x 1))
(*.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 2)) (/.f64 1 (+.f64 (-.f64 1 (/.f64 x (+.f64 1 x))) 1)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 2)) (+.f64 1 (-.f64 1 (/.f64 x (+.f64 x 1)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 2)) (+.f64 2 (/.f64 x (-.f64 -1 x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 2)) (+.f64 (/.f64 x (+.f64 x 1)) -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 x)))
(/.f64 x (+.f64 x 1))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 x)))
(/.f64 x (+.f64 x 1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 x 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 x 1))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (/.f64 x (hypot.f64 1 (sqrt.f64 x))))
(/.f64 x (*.f64 (hypot.f64 1 (sqrt.f64 x)) (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (/.f64 x (hypot.f64 1 (sqrt.f64 x))))
(/.f64 x (*.f64 (hypot.f64 1 (sqrt.f64 x)) (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (-.f64 (+.f64 1 (*.f64 x x)) x))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))
(*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(/.f64 x (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x)))
(/.f64 1 (/.f64 (+.f64 1 x) x))
(/.f64 x (+.f64 x 1))
(/.f64 1 (/.f64 (/.f64 (+.f64 1 x) x) 1))
(/.f64 x (+.f64 x 1))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 2) (+.f64 (/.f64 x (+.f64 1 x)) -1))) (+.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 3))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 2) (+.f64 (/.f64 x (+.f64 x 1)) -1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 3)) (+.f64 1 (*.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) (+.f64 (/.f64 x (+.f64 x 1)) -2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 3)) (fma.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) (+.f64 (/.f64 x (+.f64 x 1)) -2) 1))
(/.f64 1 (/.f64 (+.f64 (-.f64 1 (/.f64 x (+.f64 1 x))) 1) (-.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 2)) (+.f64 1 (-.f64 1 (/.f64 x (+.f64 x 1)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 2)) (+.f64 2 (/.f64 x (-.f64 -1 x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 2)) (+.f64 (/.f64 x (+.f64 x 1)) -2))
(/.f64 x (+.f64 1 x))
(/.f64 x (+.f64 x 1))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 1 x) (cbrt.f64 x)))
(/.f64 x (+.f64 x 1))
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 x) (sqrt.f64 x)))
(/.f64 x (+.f64 x 1))
(/.f64 (neg.f64 x) (+.f64 (neg.f64 x) -1))
(/.f64 x (+.f64 x 1))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 2) (+.f64 (/.f64 x (+.f64 1 x)) -1))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 2) (+.f64 (/.f64 x (+.f64 x 1)) -1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 3)) (+.f64 1 (*.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) (+.f64 (/.f64 x (+.f64 x 1)) -2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 3)) (fma.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) (+.f64 (/.f64 x (+.f64 x 1)) -2) 1))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 2) (+.f64 (-.f64 1 (/.f64 x (+.f64 1 x))) 1)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 2) (+.f64 (/.f64 x (+.f64 x 1)) -1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 3)) (+.f64 1 (*.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) (+.f64 (/.f64 x (+.f64 x 1)) -2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 3)) (fma.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) (+.f64 (/.f64 x (+.f64 x 1)) -2) 1))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 1 x) x)))
(/.f64 x (+.f64 x 1))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 2)) (+.f64 (-.f64 1 (/.f64 x (+.f64 1 x))) 1))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 2)) (+.f64 1 (-.f64 1 (/.f64 x (+.f64 x 1)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 2)) (+.f64 2 (/.f64 x (-.f64 -1 x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 2)) (+.f64 (/.f64 x (+.f64 x 1)) -2))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (+.f64 (neg.f64 x) -1)))
(/.f64 x (+.f64 x 1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1) 2) (+.f64 (/.f64 x (+.f64 1 x)) -1)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 2) (+.f64 (/.f64 x (+.f64 x 1)) -1)))))
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(/.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 2)) (+.f64 2 (/.f64 x (-.f64 -1 x))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 x)))
(/.f64 x (+.f64 x 1))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 x)))
(/.f64 x (+.f64 x 1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 x 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x))))
(/.f64 x (+.f64 x 1))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (/.f64 x (hypot.f64 1 (sqrt.f64 x))))
(/.f64 x (*.f64 (hypot.f64 1 (sqrt.f64 x)) (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (/.f64 x (hypot.f64 1 (sqrt.f64 x))))
(/.f64 x (*.f64 (hypot.f64 1 (sqrt.f64 x)) (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (-.f64 (+.f64 1 (*.f64 x x)) x))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))
(*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(/.f64 x (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x)))
(pow.f64 (/.f64 x (+.f64 1 x)) 1)
(/.f64 x (+.f64 x 1))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 3)
(/.f64 x (+.f64 x 1))
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) 2)
(/.f64 x (+.f64 x 1))
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 3) 1/3)
(/.f64 x (+.f64 x 1))
(pow.f64 (/.f64 (+.f64 1 x) x) -1)
(/.f64 x (+.f64 x 1))
(neg.f64 (/.f64 x (+.f64 (neg.f64 x) -1)))
(/.f64 x (+.f64 x 1))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2))
(/.f64 x (+.f64 x 1))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 x))))
(/.f64 x (+.f64 x 1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 x)))))
(/.f64 x (+.f64 x 1))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 3))
(/.f64 x (+.f64 x 1))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 x))))
(/.f64 x (+.f64 x 1))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 x))))
(/.f64 x (+.f64 x 1))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 x)))
(/.f64 x (exp.f64 (log1p.f64 x)))
(fma.f64 1 (+.f64 (/.f64 x (+.f64 1 x)) -1) 1)
(/.f64 x (+.f64 x 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1)) 2) (cbrt.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1)) 1)
(/.f64 x (+.f64 x 1))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1)) (sqrt.f64 (+.f64 (/.f64 x (+.f64 1 x)) -1)) 1)
(/.f64 x (+.f64 x 1))

eval106.0ms (5.4%)

Compiler

Compiled 3474 to 2725 computations (21.6% saved)

prune20.0ms (1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1620162
Fresh000
Picked011
Done011
Total1622164
Error
0b
Counts
164 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (+.f64 1 (-.f64 (/.f64 x (+.f64 1 x)) 1)))
Compiler

Compiled 28 to 22 computations (21.4% saved)

regimes7.0ms (0.4%)

Accuracy

Total -0.0b remaining (-100%)

Threshold costs -0.0b (-100%)

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

2 calls:

4.0ms
x
2.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Compiler

Compiled 41 to 31 computations (24.4% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 12 to 9 computations (25% saved)

soundness0.0ms (0%)

end14.0ms (0.7%)

Compiler

Compiled 12 to 9 computations (25% saved)

Profiling

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