Details

Time bar (total: 2.1s)

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)

sample1.0s (49.3%)

Results
1.0s8256×body256valid
Bogosity

preprocess9.0ms (0.4%)

Algorithm
egg-herbie
Rules
+-commutative
1-exp
sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0931
11731
21831
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)

simplify12.0ms (0.5%)

Algorithm
egg-herbie
Rules
+-commutative
1-exp
sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0931
11731
21831
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)

localize14.0ms (0.7%)

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)

series1.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite64.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
1918×add-sqr-sqrt
1898×*-un-lft-identity
1780×add-cube-cbrt
1762×add-cbrt-cube
178×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0826
117926
2245126
Stop Event
node limit
Counts
2 → 59
Calls
Call 1
Inputs
(/.f64 1 (-.f64 x 1))
(/.f64 x (+.f64 x 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.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 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.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)) (cbrt.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 (neg.f64 x) 1)))))) (#(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 *.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -1)) (fma.f64 x x (+.f64 1 x)))))) (#(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 (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 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 x -1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1))) 3)))) (#(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 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 log.f64 (+.f64 1 (expm1.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 exp.f64 (neg.f64 (log.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (exp.f64 (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) (sqrt.f64 (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (exp.f64 (neg.f64 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2) (cbrt.f64 (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (exp.f64 (neg.f64 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 (log1p.f64 x))) 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 (hypot.f64 1 (sqrt.f64 x))) (/.f64 x (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (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 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (+.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 log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 x))))))))

simplify72.0ms (3.4%)

Algorithm
egg-herbie
Rules
1574×distribute-lft-in
928×unswap-sqr
594×associate-+l-
590×associate-+r+
568×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01801743
14541661
215671641
356881641
Stop Event
node limit
Counts
83 → 128
Calls
Call 1
Inputs
-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))))
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x)))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1)))) 1)
(*.f64 1 (/.f64 1 (+.f64 x -1)))
(*.f64 (/.f64 1 (+.f64 x -1)) 1)
(*.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (cbrt.f64 (/.f64 1 (+.f64 x -1))))
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 x) 1)))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 1 x))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -1)) (fma.f64 x x (+.f64 1 x)))
(*.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))
(pow.f64 (+.f64 x -1) -1)
(pow.f64 (/.f64 1 (+.f64 x -1)) 1)
(pow.f64 (pow.f64 (+.f64 x -1) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 x -1)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x -1) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))
(log.f64 (+.f64 1 (expm1.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))))
(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 x -1))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 x)))) 1)
(*.f64 1 (/.f64 x (+.f64 1 x)))
(*.f64 x (exp.f64 (neg.f64 (log1p.f64 x))))
(*.f64 (/.f64 x (+.f64 1 x)) 1)
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) (sqrt.f64 (/.f64 x (+.f64 1 x))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (exp.f64 (neg.f64 (log1p.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2) (cbrt.f64 (/.f64 x (+.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (exp.f64 (neg.f64 (log1p.f64 x)))))
(*.f64 (exp.f64 (neg.f64 (log1p.f64 x))) x)
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 x))))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (/.f64 x (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (+.f64 1 x))))
(pow.f64 (/.f64 x (+.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 1 x) x) -1)
(neg.f64 (/.f64 x (+.f64 -1 (neg.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 x))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 x)))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 x))))
Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (neg.f64 (*.f64 x x)) (-.f64 -1 x))
(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 (neg.f64 (pow.f64 x 3)) (+.f64 (neg.f64 (*.f64 x x)) (-.f64 -1 x)))
(fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (fma.f64 x x x) -1))
(-.f64 (-.f64 -1 (fma.f64 x x x)) (pow.f64 x 3))
(-.f64 -1 (+.f64 x (*.f64 x (fma.f64 x x x))))
(/.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 (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 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 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.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 (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 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 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 4)))))
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(fma.f64 -1 (*.f64 x x) x)
(-.f64 x (*.f64 x x))
(fma.f64 x (neg.f64 x) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x))
(fma.f64 -1 (*.f64 x x) (+.f64 x (pow.f64 x 3)))
(+.f64 x (*.f64 (*.f64 x x) (+.f64 -1 x)))
(*.f64 x (-.f64 (fma.f64 x x 1) x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x)))
(fma.f64 -1 (*.f64 x x) (fma.f64 -1 (pow.f64 x 4) (+.f64 x (pow.f64 x 3))))
(-.f64 (-.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4)) (*.f64 x x))
(-.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 x x (pow.f64 x 4)))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 -1 x)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3))))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 -1 x)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1)))) 1)
(/.f64 1 (+.f64 -1 x))
(*.f64 1 (/.f64 1 (+.f64 x -1)))
(/.f64 1 (+.f64 -1 x))
(*.f64 (/.f64 1 (+.f64 x -1)) 1)
(/.f64 1 (+.f64 -1 x))
(*.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2))
(/.f64 1 (+.f64 -1 x))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 -1 x))) (cbrt.f64 (pow.f64 (+.f64 -1 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (cbrt.f64 (/.f64 1 (+.f64 x -1))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 -1 x))) (cbrt.f64 (pow.f64 (+.f64 -1 x) -2)))
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 x) 1)))
(/.f64 -1 (-.f64 1 x))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 1 x))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x 1))
(/.f64 (+.f64 x 1) (fma.f64 x 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 x 1)))
(/.f64 (+.f64 (fma.f64 x x x) 1) (+.f64 -1 (pow.f64 x 3)))
(/.f64 (+.f64 x (fma.f64 x x 1)) (+.f64 -1 (pow.f64 x 3)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x -1)) -1) (pow.f64 (sqrt.f64 (+.f64 x -1)) -1))
(pow.f64 (sqrt.f64 (+.f64 -1 x)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x -1)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (/.f64 1 (cbrt.f64 (+.f64 -1 x))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (cbrt.f64 (+.f64 -1 x)))
(pow.f64 (+.f64 x -1) -1)
(/.f64 1 (+.f64 -1 x))
(pow.f64 (/.f64 1 (+.f64 x -1)) 1)
(/.f64 1 (+.f64 -1 x))
(pow.f64 (pow.f64 (+.f64 x -1) -1/2) 2)
(/.f64 1 (+.f64 -1 x))
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1))) 3)
(/.f64 1 (+.f64 -1 x))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 x -1)) 3) 1/3)
(/.f64 1 (+.f64 -1 x))
(sqrt.f64 (pow.f64 (+.f64 x -1) -2))
(/.f64 1 (+.f64 -1 x))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))
(/.f64 1 (+.f64 -1 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1)))))
(/.f64 1 (+.f64 -1 x))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x -1)) 3))
(/.f64 1 (+.f64 -1 x))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))))
(/.f64 1 (+.f64 -1 x))
(exp.f64 (neg.f64 (log.f64 (+.f64 x -1))))
(/.f64 1 (+.f64 -1 x))
(exp.f64 (*.f64 (log.f64 (+.f64 x -1)) -1))
(/.f64 1 (+.f64 -1 x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x -1))) 1))
(/.f64 1 (+.f64 -1 x))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))))
(/.f64 1 (+.f64 -1 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 x)))) 1)
(/.f64 x (+.f64 x 1))
(*.f64 1 (/.f64 x (+.f64 1 x)))
(/.f64 x (+.f64 x 1))
(*.f64 x (exp.f64 (neg.f64 (log1p.f64 x))))
(/.f64 x (exp.f64 (log1p.f64 x)))
(*.f64 (/.f64 x (+.f64 1 x)) 1)
(/.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 x) (*.f64 (sqrt.f64 x) (exp.f64 (neg.f64 (log1p.f64 x)))))
(*.f64 x (exp.f64 (neg.f64 (log1p.f64 x))))
(/.f64 x (exp.f64 (log1p.f64 x)))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2))
(/.f64 x (+.f64 x 1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2) (cbrt.f64 (/.f64 x (+.f64 1 x))))
(/.f64 x (+.f64 x 1))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (exp.f64 (neg.f64 (log1p.f64 x)))))
(*.f64 x (exp.f64 (neg.f64 (log1p.f64 x))))
(/.f64 x (exp.f64 (log1p.f64 x)))
(*.f64 (exp.f64 (neg.f64 (log1p.f64 x))) x)
(*.f64 x (exp.f64 (neg.f64 (log1p.f64 x))))
(/.f64 x (exp.f64 (log1p.f64 x)))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 -1 (neg.f64 x))))
(/.f64 x (+.f64 x 1))
(*.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 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 x (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 x (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))
(/.f64 x (*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))
(*.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1))
(*.f64 (+.f64 -1 x) (/.f64 x (fma.f64 x x -1)))
(/.f64 (+.f64 -1 x) (/.f64 (fma.f64 x x -1) 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 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 x)))
(/.f64 x (+.f64 x 1))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 x (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))
(/.f64 x (*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.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 (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 (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)))
(pow.f64 (/.f64 x (+.f64 1 x)) 1)
(/.f64 x (+.f64 x 1))
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) 2)
(/.f64 x (+.f64 x 1))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 3)
(/.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 -1 (neg.f64 x))))
(/.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))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 x)))
(*.f64 x (exp.f64 (neg.f64 (log1p.f64 x))))
(/.f64 x (exp.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) 1))
(*.f64 x (exp.f64 (neg.f64 (log1p.f64 x))))
(/.f64 x (exp.f64 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 x))))
(/.f64 x (+.f64 x 1))

eval40.0ms (1.9%)

Compiler

Compiled 2087 to 1499 computations (28.2% saved)

prune16.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1244128
Fresh000
Picked011
Done000
Total1245129
Error
0b
Counts
129 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
28.7b
(+.f64 (/.f64 1 (-.f64 x 1)) x)
33.8b
(+.f64 (/.f64 1 (-.f64 x 1)) 1)
33.5b
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1)))
28.5b
(+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))
Compiler

Compiled 48 to 36 computations (25% saved)

localize10.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

Compiled 24 to 16 computations (33.3% saved)

localize10.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

Compiled 23 to 15 computations (34.8% saved)

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (-.f64 x 1))
4.1b
(+.f64 (/.f64 1 (-.f64 x 1)) 1)
Compiler

Compiled 18 to 14 computations (22.2% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite53.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
1632×add-sqr-sqrt
1610×*-un-lft-identity
1512×add-cube-cbrt
1500×add-cbrt-cube
160×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
115819
2212619
Stop Event
node limit
Counts
1 → 32
Calls
Call 1
Inputs
(+.f64 (/.f64 1 (-.f64 x 1)) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 x -1) -2) (+.f64 (/.f64 1 (+.f64 x -1)) -1)) (/.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (+.f64 x -1) -1/2)) (hypot.f64 1 (pow.f64 (+.f64 x -1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) -1) (/.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 x -1) -3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 1 (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1 (+.f64 x -1)) -1) (+.f64 (pow.f64 (+.f64 x -1) -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 1 (/.f64 1 (+.f64 x -1)))) (+.f64 1 (pow.f64 (+.f64 x -1) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) -1) (+.f64 (/.f64 1 (+.f64 x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x -1) -3)) (+.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 1 (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x -1) -3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 x -1) -2)) (-.f64 1 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) -1)) (neg.f64 (+.f64 (/.f64 1 (+.f64 x -1)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x -1) -3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 1 (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x -1) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))) 1)))))

simplify58.0ms (2.8%)

Algorithm
egg-herbie
Rules
1608×associate-/l*
1062×associate-/r*
918×associate-*r*
766×associate-*l*
704×associate-+r+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01051454
12551400
27711254
336541248
Stop Event
node limit
Counts
44 → 66
Calls
Call 1
Inputs
(*.f64 -1 x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -1 (pow.f64 x 4)))))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 x -1) -2) (+.f64 (/.f64 1 (+.f64 x -1)) -1)) (/.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) -1)))
(*.f64 1 (+.f64 1 (/.f64 1 (+.f64 x -1))))
(*.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 1)
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x -1) -1/2)) (hypot.f64 1 (pow.f64 (+.f64 x -1) -1/2)))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) -1) (/.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) -1)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x -1) -3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 1 (/.f64 1 (+.f64 x -1))))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 (+.f64 x -1)) -1) (+.f64 (pow.f64 (+.f64 x -1) -2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 1 (/.f64 1 (+.f64 x -1)))) (+.f64 1 (pow.f64 (+.f64 x -1) -3))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) -1) (+.f64 (/.f64 1 (+.f64 x -1)) -1))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) -3)) (+.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 1 (/.f64 1 (+.f64 x -1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) -3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 1 (+.f64 x -1)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1) -2)) (-.f64 1 (/.f64 1 (+.f64 x -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) -1)) (neg.f64 (+.f64 (/.f64 1 (+.f64 x -1)) -1)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x -1) -3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 1 (/.f64 1 (+.f64 x -1))))))
(pow.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 1)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x -1) -1/2)) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))))
(exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))))
(fma.f64 1 (/.f64 1 (+.f64 x -1)) 1)
(fma.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2) 1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))) 1)
Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 -1 (*.f64 x x) (neg.f64 x))
(neg.f64 (fma.f64 x x x))
(*.f64 x (-.f64 -1 x))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)))
(fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) (neg.f64 x)))
(-.f64 (neg.f64 (fma.f64 x x x)) (pow.f64 x 3))
(-.f64 (neg.f64 x) (*.f64 x (fma.f64 x x x)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -1 (pow.f64 x 4)))))
(fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) (*.f64 -1 (+.f64 x (pow.f64 x 4)))))
(-.f64 (-.f64 (neg.f64 (fma.f64 x x x)) (pow.f64 x 4)) (pow.f64 x 3))
(-.f64 (*.f64 x (-.f64 -1 x)) (+.f64 (pow.f64 x 4) (pow.f64 x 3)))
(*.f64 (+.f64 (*.f64 x x) 1) (*.f64 x (-.f64 -1 x)))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(+.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (/.f64 1 x))
(+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 1 (+.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x)))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x)) (/.f64 1 (pow.f64 x 3))))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(+.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (/.f64 1 x))
(+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 1 (+.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x)))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x)) (/.f64 1 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))))) 1)
(+.f64 1 (/.f64 1 (+.f64 -1 x)))
(-.f64 (/.f64 (pow.f64 (+.f64 x -1) -2) (+.f64 (/.f64 1 (+.f64 x -1)) -1)) (/.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) -1)))
(-.f64 (/.f64 (pow.f64 (+.f64 -1 x) -2) (+.f64 -1 (/.f64 1 (+.f64 -1 x)))) (/.f64 1 (+.f64 -1 (/.f64 1 (+.f64 -1 x)))))
(+.f64 (/.f64 (pow.f64 (+.f64 -1 x) -2) (+.f64 -1 (/.f64 1 (+.f64 -1 x)))) (/.f64 -1 (+.f64 -1 (/.f64 1 (+.f64 -1 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 -1 x) -2)) (+.f64 -1 (/.f64 1 (+.f64 -1 x))))
(*.f64 1 (+.f64 1 (/.f64 1 (+.f64 x -1))))
(+.f64 1 (/.f64 1 (+.f64 -1 x)))
(*.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 1)
(+.f64 1 (/.f64 1 (+.f64 -1 x)))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x -1) -1/2)) (hypot.f64 1 (pow.f64 (+.f64 x -1) -1/2)))
(+.f64 1 (/.f64 1 (+.f64 -1 x)))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))) 2))
(+.f64 1 (/.f64 1 (+.f64 -1 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))))
(+.f64 1 (/.f64 1 (+.f64 -1 x)))
(*.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) -1) (/.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) -1)))
(-.f64 (/.f64 (pow.f64 (+.f64 -1 x) -2) (+.f64 -1 (/.f64 1 (+.f64 -1 x)))) (/.f64 1 (+.f64 -1 (/.f64 1 (+.f64 -1 x)))))
(+.f64 (/.f64 (pow.f64 (+.f64 -1 x) -2) (+.f64 -1 (/.f64 1 (+.f64 -1 x)))) (/.f64 -1 (+.f64 -1 (/.f64 1 (+.f64 -1 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 -1 x) -2)) (+.f64 -1 (/.f64 1 (+.f64 -1 x))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x -1) -3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 1 (/.f64 1 (+.f64 x -1))))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 -1 x) -3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 -1 x) -2) (-.f64 1 (/.f64 1 (+.f64 -1 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 x) -3)) (+.f64 1 (+.f64 (pow.f64 (+.f64 -1 x) -2) (/.f64 -1 (+.f64 -1 x)))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 (+.f64 x -1)) -1) (+.f64 (pow.f64 (+.f64 x -1) -2) -1)))
(-.f64 (/.f64 (pow.f64 (+.f64 -1 x) -2) (+.f64 -1 (/.f64 1 (+.f64 -1 x)))) (/.f64 1 (+.f64 -1 (/.f64 1 (+.f64 -1 x)))))
(+.f64 (/.f64 (pow.f64 (+.f64 -1 x) -2) (+.f64 -1 (/.f64 1 (+.f64 -1 x)))) (/.f64 -1 (+.f64 -1 (/.f64 1 (+.f64 -1 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 -1 x) -2)) (+.f64 -1 (/.f64 1 (+.f64 -1 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 1 (/.f64 1 (+.f64 x -1)))) (+.f64 1 (pow.f64 (+.f64 x -1) -3))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 -1 x) -3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 -1 x) -2) (-.f64 1 (/.f64 1 (+.f64 -1 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 x) -3)) (+.f64 1 (+.f64 (pow.f64 (+.f64 -1 x) -2) (/.f64 -1 (+.f64 -1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) -1) (+.f64 (/.f64 1 (+.f64 x -1)) -1))
(-.f64 (/.f64 (pow.f64 (+.f64 -1 x) -2) (+.f64 -1 (/.f64 1 (+.f64 -1 x)))) (/.f64 1 (+.f64 -1 (/.f64 1 (+.f64 -1 x)))))
(+.f64 (/.f64 (pow.f64 (+.f64 -1 x) -2) (+.f64 -1 (/.f64 1 (+.f64 -1 x)))) (/.f64 -1 (+.f64 -1 (/.f64 1 (+.f64 -1 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 -1 x) -2)) (+.f64 -1 (/.f64 1 (+.f64 -1 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) -3)) (+.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 1 (/.f64 1 (+.f64 x -1)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 -1 x) -3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 -1 x) -2) (-.f64 1 (/.f64 1 (+.f64 -1 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 x) -3)) (+.f64 1 (+.f64 (pow.f64 (+.f64 -1 x) -2) (/.f64 -1 (+.f64 -1 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) -3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 1 (+.f64 x -1)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 -1 x) -3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 -1 x) -2) (-.f64 1 (/.f64 1 (+.f64 -1 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 x) -3)) (+.f64 1 (+.f64 (pow.f64 (+.f64 -1 x) -2) (/.f64 -1 (+.f64 -1 x)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1) -2)) (-.f64 1 (/.f64 1 (+.f64 x -1))))
(-.f64 (/.f64 (pow.f64 (+.f64 -1 x) -2) (+.f64 -1 (/.f64 1 (+.f64 -1 x)))) (/.f64 1 (+.f64 -1 (/.f64 1 (+.f64 -1 x)))))
(+.f64 (/.f64 (pow.f64 (+.f64 -1 x) -2) (+.f64 -1 (/.f64 1 (+.f64 -1 x)))) (/.f64 -1 (+.f64 -1 (/.f64 1 (+.f64 -1 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 -1 x) -2)) (+.f64 -1 (/.f64 1 (+.f64 -1 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) -1)) (neg.f64 (+.f64 (/.f64 1 (+.f64 x -1)) -1)))
(-.f64 (/.f64 (pow.f64 (+.f64 -1 x) -2) (+.f64 -1 (/.f64 1 (+.f64 -1 x)))) (/.f64 1 (+.f64 -1 (/.f64 1 (+.f64 -1 x)))))
(+.f64 (/.f64 (pow.f64 (+.f64 -1 x) -2) (+.f64 -1 (/.f64 1 (+.f64 -1 x)))) (/.f64 -1 (+.f64 -1 (/.f64 1 (+.f64 -1 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 -1 x) -2)) (+.f64 -1 (/.f64 1 (+.f64 -1 x))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x -1) -3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 1 (/.f64 1 (+.f64 x -1))))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 -1 x) -3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 -1 x) -2) (-.f64 1 (/.f64 1 (+.f64 -1 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 x) -3)) (+.f64 1 (+.f64 (pow.f64 (+.f64 -1 x) -2) (/.f64 -1 (+.f64 -1 x)))))
(pow.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 1)
(+.f64 1 (/.f64 1 (+.f64 -1 x)))
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x -1) -1/2)) 2)
(+.f64 1 (/.f64 1 (+.f64 -1 x)))
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))) 3)
(+.f64 1 (/.f64 1 (+.f64 -1 x)))
(pow.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 3) 1/3)
(+.f64 1 (/.f64 1 (+.f64 -1 x)))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 2))
(+.f64 1 (/.f64 1 (+.f64 -1 x)))
(log.f64 (exp.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))))
(+.f64 1 (/.f64 1 (+.f64 -1 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))))))
(+.f64 1 (/.f64 1 (+.f64 -1 x)))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 x -1))) 3))
(+.f64 1 (/.f64 1 (+.f64 -1 x)))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))))
(+.f64 1 (/.f64 1 (+.f64 -1 x)))
(exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))))
(exp.f64 (log1p.f64 (/.f64 1 (+.f64 -1 x))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))) 1))
(exp.f64 (log1p.f64 (/.f64 1 (+.f64 -1 x))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 x -1)))))
(+.f64 1 (/.f64 1 (+.f64 -1 x)))
(fma.f64 1 (/.f64 1 (+.f64 x -1)) 1)
(+.f64 1 (/.f64 1 (+.f64 -1 x)))
(fma.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2) 1)
(+.f64 1 (/.f64 1 (+.f64 -1 x)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))) 1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 -1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 -1 x))) 1)
(+.f64 1 (/.f64 (cbrt.f64 (pow.f64 (+.f64 -1 x) -2)) (cbrt.f64 (+.f64 -1 x))))

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 18 to 13 computations (27.8% saved)

eval91.0ms (4.3%)

Compiler

Compiled 4284 to 3092 computations (27.8% saved)

prune86.0ms (4.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New3184322
Fresh000
Picked011
Done224
Total3207327
Error
0b
Counts
327 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
28.7b
(+.f64 (/.f64 1 (-.f64 x 1)) x)
33.5b
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1)))
28.6b
(+.f64 (-.f64 -1 x) x)
28.9b
(+.f64 -1 x)
61.7b
(neg.f64 x)
34.0b
1
Compiler

Compiled 45 to 33 computations (26.7% saved)

localize2.0ms (0.1%)

Compiler

Compiled 4 to 2 computations (50% saved)

localize3.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
2.9b
(+.f64 (-.f64 -1 x) x)
Compiler

Compiled 11 to 7 computations (36.4% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite52.0ms (2.5%)

Algorithm
egg-rewrite-iter-limit
batch-egg-rewrite
Rules
148×add-sqr-sqrt
144×pow1
144×*-un-lft-identity
138×add-exp-log
138×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
114013
2211013
0613
Stop Event
iter limit
unsound
Counts
1 → 12
Calls
Call 1
Inputs
(+.f64 (-.f64 -1 x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (-.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 (*.f64 (cbrt.f64 (+.f64 x (-.f64 -1 x))) (cbrt.f64 (+.f64 x (-.f64 -1 x)))) (cbrt.f64 (+.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)) (*.f64 x x)) (-.f64 (-.f64 -1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)) (-.f64 (*.f64 x x) (*.f64 (-.f64 -1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (-.f64 -1 x)) 1)))) (#(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 (*.f64 (*.f64 (+.f64 x (-.f64 -1 x)) (+.f64 x (-.f64 -1 x))) (+.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (-.f64 -1 x))))))))

simplify68.0ms (3.2%)

Algorithm
egg-herbie
Rules
1394×associate-+l-
1012×fma-neg
1012×+-commutative
970×*-commutative
784×associate-/r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
04196
112496
222690
359586
4239486
5774286
Stop Event
node limit
Counts
24 → 19
Calls
Call 1
Inputs
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
(-.f64 -1 (-.f64 x x))
(*.f64 1 (+.f64 x (-.f64 -1 x)))
(*.f64 (sqrt.f64 (+.f64 x (-.f64 -1 x))) (sqrt.f64 (+.f64 x (-.f64 -1 x))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 x (-.f64 -1 x))) (cbrt.f64 (+.f64 x (-.f64 -1 x)))) (cbrt.f64 (+.f64 x (-.f64 -1 x))))
(/.f64 (-.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)) (*.f64 x x)) (-.f64 (-.f64 -1 x) x))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)) (-.f64 (*.f64 x x) (*.f64 (-.f64 -1 x) x))))
(pow.f64 (+.f64 x (-.f64 -1 x)) 1)
(log.f64 (exp.f64 (+.f64 x (-.f64 -1 x))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 x (-.f64 -1 x)) (+.f64 x (-.f64 -1 x))) (+.f64 x (-.f64 -1 x))))
(expm1.f64 (log1p.f64 (+.f64 x (-.f64 -1 x))))
(exp.f64 (log.f64 (+.f64 x (-.f64 -1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (-.f64 -1 x))))
Outputs
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
(-.f64 -1 (-.f64 x x))
-1
(*.f64 1 (+.f64 x (-.f64 -1 x)))
-1
(*.f64 (sqrt.f64 (+.f64 x (-.f64 -1 x))) (sqrt.f64 (+.f64 x (-.f64 -1 x))))
-1
(*.f64 (*.f64 (cbrt.f64 (+.f64 x (-.f64 -1 x))) (cbrt.f64 (+.f64 x (-.f64 -1 x)))) (cbrt.f64 (+.f64 x (-.f64 -1 x))))
-1
(/.f64 (-.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)) (*.f64 x x)) (-.f64 (-.f64 -1 x) x))
-1
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 -1 x) (-.f64 -1 x)) (-.f64 (*.f64 x x) (*.f64 (-.f64 -1 x) x))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (fma.f64 (-.f64 -1 x) (-.f64 -1 x) (*.f64 x (-.f64 x (-.f64 -1 x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (fma.f64 (-.f64 -1 x) (-.f64 -1 x) (*.f64 x (+.f64 (-.f64 x -1) x))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (-.f64 -1 x) (+.f64 -1 (*.f64 x -2)))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (-.f64 -1 x) (fma.f64 x -2 -1))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 x 3)) (fma.f64 (-.f64 -1 x) (fma.f64 x -2 -1) (*.f64 x x)))
(pow.f64 (+.f64 x (-.f64 -1 x)) 1)
-1
(log.f64 (exp.f64 (+.f64 x (-.f64 -1 x))))
-1
(cbrt.f64 (*.f64 (*.f64 (+.f64 x (-.f64 -1 x)) (+.f64 x (-.f64 -1 x))) (+.f64 x (-.f64 -1 x))))
(cbrt.f64 -1)
(expm1.f64 (log1p.f64 (+.f64 x (-.f64 -1 x))))
-1
(exp.f64 (log.f64 (+.f64 x (-.f64 -1 x))))
-1
(log1p.f64 (expm1.f64 (+.f64 x (-.f64 -1 x))))
-1

eval5.0ms (0.2%)

Compiler

Compiled 258 to 180 computations (30.2% saved)

prune4.0ms (0.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New18119
Fresh011
Picked101
Done235
Total21526
Error
0b
Counts
26 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
28.7b
(+.f64 (/.f64 1 (-.f64 x 1)) x)
33.5b
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1)))
34.0b
1
29.1b
-1
Compiler

Compiled 34 to 26 computations (23.5% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done033
Total055
Error
0b
Counts
5 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
28.7b
(+.f64 (/.f64 1 (-.f64 x 1)) x)
33.5b
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1)))
34.0b
1
29.1b
-1
Compiler

Compiled 34 to 26 computations (23.5% saved)

regimes11.0ms (0.5%)

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

2 calls:

7.0ms
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 70 to 50 computations (28.6% saved)

regimes18.0ms (0.8%)

Counts
9 → 3
Calls
Call 1
Inputs
-1
1
(neg.f64 x)
(+.f64 -1 x)
(+.f64 (-.f64 -1 x) x)
(+.f64 (/.f64 1 (-.f64 x 1)) 1)
(+.f64 (/.f64 1 (-.f64 x 1)) x)
(+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1)))
Outputs
1
(+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1)))
Calls

1 calls:

16.0ms
x
Results
ErrorSegmentsBranch
0.1b3x
Compiler

Compiled 47 to 33 computations (29.8% saved)

bsearch75.0ms (3.6%)

Algorithm
binary-search
Steps
TimeLeftRight
50.0ms
8.048306717176966e-7
244755.1633775137
25.0ms
-99465825705.77332
-6.488167514349664e-12
Results
71.0ms336×body256valid
Compiler

Compiled 390 to 293 computations (24.9% saved)

regimes50.0ms (2.4%)

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

1 calls:

48.0ms
x
Results
ErrorSegmentsBranch
0.1b3x
Compiler

Compiled 38 to 27 computations (28.9% saved)

bsearch38.0ms (1.8%)

Algorithm
binary-search
Steps
TimeLeftRight
16.0ms
8.048306717176966e-7
244755.1633775137
21.0ms
-99465825705.77332
-6.488167514349664e-12
Results
34.0ms336×body256valid
Compiler

Compiled 310 to 243 computations (21.6% saved)

regimes16.0ms (0.8%)

Accuracy

Total -63.0b remaining (-54306.3%)

Threshold costs -63.0b (-54306.3%)

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

1 calls:

15.0ms
x
Results
ErrorSegmentsBranch
0.1b3x
Compiler

Compiled 29 to 21 computations (27.6% saved)

bsearch72.0ms (3.4%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
8.048306717176966e-7
244755.1633775137
54.0ms
-99465825705.77332
-6.488167514349664e-12
Results
68.0ms336×body256valid
Compiler

Compiled 142 to 138 computations (2.8% saved)

simplify7.0ms (0.3%)

Algorithm
egg-herbie
Rules
14×+-commutative
sub-neg
if-if-or-not
1-exp
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027167
145167
249167
351167
452167
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
(if (<=.f64 x -1080863910568919/562949953421312) 1 (if (<=.f64 x 1) (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))) (+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1)))))
(if (<=.f64 x -1080863910568919/562949953421312) 1 (if (<=.f64 x 1) (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))) 1))
(if (<=.f64 x -1) 1 (if (<=.f64 x 1) -1 1))
-1
Outputs
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))
(if (<=.f64 x -1080863910568919/562949953421312) 1 (if (<=.f64 x 1) (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))) (+.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1)))))
(if (<=.f64 x -1080863910568919/562949953421312) 1 (if (<=.f64 x 1) (+.f64 (/.f64 x (+.f64 1 x)) (-.f64 -1 x)) (+.f64 (/.f64 x (+.f64 1 x)) (/.f64 1 x))))
(if (<=.f64 x -1080863910568919/562949953421312) 1 (if (<=.f64 x 1) (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))) 1))
(if (<=.f64 x -1080863910568919/562949953421312) 1 (if (<=.f64 x 1) (+.f64 (/.f64 x (+.f64 1 x)) (-.f64 -1 x)) 1))
(if (<=.f64 x -1) 1 (if (<=.f64 x 1) -1 1))
-1
Compiler

Compiled 74 to 56 computations (24.3% saved)

soundness0.0ms (0%)

end77.0ms (3.6%)

Compiler

Compiled 70 to 52 computations (25.7% saved)

Profiling

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