Details

Time bar (total: 1.7s)

analyze7.0ms (0.4%)

Algorithm
1×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)

sample920.0ms (54.5%)

Results
908.0ms8256×body256valid
Bogosity

preprocess5.0ms (0.3%)

Algorithm
2×egg-herbie
Rules
6×+-commutative
2×1-exp
2×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0931
11731
21831
011
Stop Event
1×saturated
1×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 (0.7%)

Algorithm
1×egg-herbie
Rules
6×+-commutative
2×1-exp
2×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0931
11731
21831
Stop Event
1×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 (0.1%)

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)

localize13.0ms (0.8%)

Local error

Found 3 expressions with local error:

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

Compiled 30 to 21 computations (30% saved)

series2.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite101.0ms (6%)

Algorithm
1×batch-egg-rewrite
Rules
1370×associate-/r/
1286×associate-/l*
1104×*-commutative
884×distribute-lft-in
556×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0957
121357
2327157
Stop Event
1×node limit
Counts
3 → 220
Calls
Call 1
Inputs
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
(/.f64 x (+.f64 x 1))
(/.f64 1 (-.f64 x 1))
Outputs
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3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.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 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 log1p.f64 (expm1.f64 (/.f64 1 (-.f64 x 1))))))))

simplify102.0ms (6%)

Algorithm
1×egg-herbie
Rules
780×*-commutative
698×distribute-lft-in
644×associate-*r*
584×associate-/l*
580×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
062511078
1204110528
Stop Event
1×node limit
Counts
256 → 425
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 4))) 1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))) 1)
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
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))))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 x 1)))) (-.f64 1 (/.f64 x (+.f64 x 1))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x 1)))) (-.f64 1 (/.f64 1 (-.f64 x 1))))
(-.f64 (/.f64 (pow.f64 (-.f64 x 1) -2) (-.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))) (/.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))))
(-.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (exp.f64 (log1p.f64 (/.f64 x (+.f64 x 1))))) 1)
(-.f64 (+.f64 (/.f64 x (+.f64 x 1)) (exp.f64 (log1p.f64 (/.f64 1 (-.f64 x 1))))) 1)
(*.f64 1 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))))
(*.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))) 1)
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))) (sqrt.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))))
(*.f64 (-.f64 (pow.f64 (-.f64 x 1) -2) (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (/.f64 1 (-.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))))
(*.f64 (+.f64 (pow.f64 (-.f64 x 1) -3) (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (pow.f64 (-.f64 x 1) -2) (/.f64 x (fma.f64 x x -1))))))
(*.f64 (+.f64 x (fma.f64 x x (-.f64 1 x))) (/.f64 1 (fma.f64 x x -1)))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))) (-.f64 (pow.f64 (-.f64 x 1) -2) (pow.f64 (/.f64 x (+.f64 x 1)) 2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (pow.f64 (-.f64 x 1) -2) (/.f64 x (fma.f64 x x -1))))) (+.f64 (pow.f64 (-.f64 x 1) -3) (pow.f64 (/.f64 x (+.f64 x 1)) 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x 1) -2) (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (-.f64 (pow.f64 (-.f64 x 1) -2) (pow.f64 (/.f64 x (+.f64 x 1)) 2))) (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x 1) -2) (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (-.f64 (pow.f64 (-.f64 x 1) -3) (pow.f64 (/.f64 x (+.f64 x 1)) 3))) (+.f64 (pow.f64 (-.f64 x 1) -2) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (/.f64 x (fma.f64 x x -1)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x 1) -2) (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (+.f64 1 (-.f64 x (*.f64 x (-.f64 x 1))))) (fma.f64 x x -1))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x 1) -2) (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (-.f64 (/.f64 (+.f64 x 1) x) (-.f64 x 1))) (*.f64 (-.f64 x 1) (/.f64 (+.f64 x 1) x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x 1) -2) (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (-.f64 (-.f64 -1 x) (*.f64 (-.f64 x 1) (neg.f64 x)))) (*.f64 (-.f64 x 1) (-.f64 -1 x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x 1) -2) (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (-.f64 (*.f64 -1 (/.f64 (+.f64 x 1) x)) (-.f64 1 x))) (*.f64 (/.f64 (+.f64 x 1) x) (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x 1) -2) (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (-.f64 (-.f64 -1 x) (*.f64 x (-.f64 1 x)))) (*.f64 (+.f64 x 1) (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x 1) -2) (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (-.f64 (*.f64 -1 (-.f64 -1 x)) (*.f64 (-.f64 1 x) (neg.f64 x)))) (*.f64 (-.f64 1 x) (-.f64 -1 x)))
(*.f64 (/.f64 (+.f64 (pow.f64 (-.f64 x 1) -3) (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (-.f64 (*.f64 (pow.f64 (-.f64 x 1) -2) (pow.f64 (-.f64 x 1) -2)) (*.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (/.f64 x (fma.f64 x x -1))) (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (/.f64 x (fma.f64 x x -1)))))) (+.f64 (-.f64 (pow.f64 (-.f64 x 1) -2) (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (/.f64 x (fma.f64 x x -1))))
(*.f64 (/.f64 (+.f64 (pow.f64 (-.f64 x 1) -3) (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (+.f64 (pow.f64 (pow.f64 (-.f64 x 1) -2) 3) (pow.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (/.f64 x (fma.f64 x x -1))) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (-.f64 x 1) -2) (pow.f64 (-.f64 x 1) -2)) (*.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (/.f64 x (fma.f64 x x -1))) (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (/.f64 x (fma.f64 x x -1))))) (*.f64 (pow.f64 (-.f64 x 1) -2) (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (/.f64 x (fma.f64 x x -1))))))
(*.f64 (/.f64 (+.f64 x (fma.f64 x x (-.f64 1 x))) (*.f64 (fma.f64 x x -1) (fma.f64 x x -1))) (fma.f64 x x -1))
(*.f64 (/.f64 (+.f64 x (fma.f64 x x (-.f64 1 x))) (*.f64 (-.f64 x 1) (fma.f64 x x -1))) (-.f64 x 1))
(*.f64 (/.f64 (+.f64 x (fma.f64 x x (-.f64 1 x))) (*.f64 (-.f64 x 1) (+.f64 1 (pow.f64 x 3)))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 x (fma.f64 x x (-.f64 1 x))) (*.f64 (+.f64 x 1) (fma.f64 x x -1))) (+.f64 x 1))
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(+.f64 (*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (+.f64 1 x)) (*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (*.f64 x x)) (*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (+.f64 1 x)))
(+.f64 (*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (+.f64 1 (*.f64 x x))) (*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) x))
(-.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 (+.f64 1 x) (/.f64 1 (fma.f64 x x -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 1 x)))
(*.f64 (fma.f64 x x (+.f64 1 x)) (/.f64 1 (+.f64 -1 (pow.f64 x 3))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x 1)) 2)) (cbrt.f64 (/.f64 1 (-.f64 x 1))))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 1 x))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (+.f64 1 x)))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (+.f64 1 (*.f64 x x)) (neg.f64 x)))
(*.f64 (/.f64 1 (-.f64 1 x)) -1)
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x 1)) -1) (pow.f64 (sqrt.f64 (-.f64 x 1)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 x 1)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 x 1)) -1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x 1)) -1) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 x 1)) 2) -1))
(*.f64 (/.f64 (fma.f64 x x (+.f64 1 x)) (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) 1)) (+.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 (fma.f64 x x (+.f64 1 x)) (-.f64 (pow.f64 (pow.f64 x 3) 3) 1)) (+.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) (pow.f64 x 3))))
(*.f64 (/.f64 1 (neg.f64 (fma.f64 x x -1))) (-.f64 -1 x))
(*.f64 (/.f64 1 (neg.f64 (+.f64 -1 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (+.f64 1 x))))
(*.f64 (/.f64 -1 (neg.f64 (fma.f64 x x -1))) (+.f64 1 x))
(*.f64 (/.f64 1 (/.f64 (fma.f64 x x -1) (hypot.f64 1 (sqrt.f64 x)))) (hypot.f64 1 (sqrt.f64 x)))
(*.f64 (/.f64 1 (/.f64 (fma.f64 x x -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (cbrt.f64 (+.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (-.f64 x 1) -1/2) (sqrt.f64 (fma.f64 x x -1))) (hypot.f64 1 (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (-.f64 x 1) -1/2) (sqrt.f64 (+.f64 -1 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x (+.f64 1 x))))
(*.f64 (/.f64 -1 (neg.f64 (+.f64 -1 (pow.f64 x 3)))) (fma.f64 x x (+.f64 1 x)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x 1)) 2)) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 1 x)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x 1)) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 x x (+.f64 1 x))))
(*.f64 (/.f64 (+.f64 1 x) (*.f64 (fma.f64 x x -1) (fma.f64 x x -1))) (fma.f64 x x -1))
(*.f64 (/.f64 (+.f64 1 x) (*.f64 (-.f64 x 1) (fma.f64 x x -1))) (-.f64 x 1))
(*.f64 (/.f64 (+.f64 1 x) (*.f64 (-.f64 x 1) (+.f64 1 (pow.f64 x 3)))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 1 x) (*.f64 (+.f64 1 x) (fma.f64 x x -1))) (+.f64 1 x))
(*.f64 (/.f64 (+.f64 1 x) (*.f64 (+.f64 1 x) (+.f64 -1 (pow.f64 x 3)))) (fma.f64 x x (+.f64 1 x)))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 1)) (+.f64 1 (*.f64 x x)))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 (pow.f64 (*.f64 x x) 3) 1)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 1 (*.f64 x x))))
(*.f64 (/.f64 (+.f64 1 x) (*.f64 (fma.f64 x x -1) (+.f64 1 (pow.f64 x 3)))) (*.f64 (+.f64 1 x) (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 1 x) (*.f64 (fma.f64 x x -1) (+.f64 -1 (pow.f64 x 3)))) (*.f64 (-.f64 x 1) (fma.f64 x x (+.f64 1 x))))
(*.f64 (/.f64 (+.f64 1 x) (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 -1 (pow.f64 x 3)))) (*.f64 (fma.f64 x x (-.f64 1 x)) (fma.f64 x x (+.f64 1 x))))
(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 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 x 1) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 x 1))))
(exp.f64 (neg.f64 (log.f64 (-.f64 x 1))))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 x 1))))
Outputs
-1
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(fma.f64 -2 (*.f64 x x) -1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 4))) 1)
(+.f64 (*.f64 -2 (+.f64 (*.f64 x x) (pow.f64 x 4))) -1)
(fma.f64 -2 (fma.f64 x x (pow.f64 x 4)) -1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))) 1)
(+.f64 (fma.f64 -2 (*.f64 x x) (*.f64 -2 (+.f64 (pow.f64 x 4) (pow.f64 x 6)))) -1)
(+.f64 -1 (*.f64 -2 (+.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 6))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 2 (*.f64 x x)))
(+.f64 1 (/.f64 (/.f64 2 x) x))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (pow.f64 x 6))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 2 (*.f64 x x)))
(+.f64 1 (/.f64 (/.f64 2 x) x))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (pow.f64 x 6))))
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(fma.f64 -1 (*.f64 x x) x)
(-.f64 x (*.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 (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 x (pow.f64 x 3)) (neg.f64 (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 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)))))
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 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)))))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 -1 x -1))
(fma.f64 -1 (fma.f64 x x x) -1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) (neg.f64 x))) -1)
(+.f64 (neg.f64 (fma.f64 x x x)) (-.f64 -1 (pow.f64 x 3)))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.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 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.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 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))))) 1)
(+.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 x 1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 x 1)))) (-.f64 1 (/.f64 x (+.f64 x 1))))
(+.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 x 1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x 1)))) (-.f64 1 (/.f64 1 (-.f64 x 1))))
(+.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 x 1)))
(-.f64 (/.f64 (pow.f64 (-.f64 x 1) -2) (-.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))) (/.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))))
(+.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 x 1)))
(-.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (exp.f64 (log1p.f64 (/.f64 x (+.f64 x 1))))) 1)
(+.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 x 1)))
(-.f64 (+.f64 (/.f64 x (+.f64 x 1)) (exp.f64 (log1p.f64 (/.f64 1 (-.f64 x 1))))) 1)
(+.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 x 1)))
(*.f64 1 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))))
(+.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 x 1)))
(*.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))) 1)
(+.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))) (sqrt.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))))
(+.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))) 2))
(+.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 x 1)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))))
(+.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 x 1)))
(*.f64 (-.f64 (pow.f64 (-.f64 x 1) -2) (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (/.f64 1 (-.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))))
(+.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 x 1)))
(*.f64 (+.f64 (pow.f64 (-.f64 x 1) -3) (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (pow.f64 (-.f64 x 1) -2) (/.f64 x (fma.f64 x x -1))))))
(*.f64 (+.f64 (pow.f64 (+.f64 -1 x) -3) (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (pow.f64 (+.f64 -1 x) -2) (/.f64 x (fma.f64 x x -1))))))
(/.f64 (+.f64 (pow.f64 (+.f64 -1 x) -3) (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (-.f64 (pow.f64 (+.f64 -1 x) -2) (-.f64 (/.f64 x (fma.f64 x x -1)) (pow.f64 (/.f64 x (+.f64 x 1)) 2))))
(*.f64 (+.f64 x (fma.f64 x x (-.f64 1 x))) (/.f64 1 (fma.f64 x x -1)))
(/.f64 (+.f64 (fma.f64 x x x) (-.f64 1 x)) (fma.f64 x x -1))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x (fma.f64 x x (-.f64 1 x))))
(*.f64 (+.f64 x (fma.f64 x x (-.f64 1 x))) (/.f64 1 (fma.f64 x x -1)))
(/.f64 (+.f64 (fma.f64 x x x) (-.f64 1 x)) (fma.f64 x x -1))
(*.f64 (/.f64 1 (-.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))) (-.f64 (pow.f64 (-.f64 x 1) -2) (pow.f64 (/.f64 x (+.f64 x 1)) 2)))
(+.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 x 1)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (pow.f64 (-.f64 x 1) -2) (/.f64 x (fma.f64 x x -1))))) (+.f64 (pow.f64 (-.f64 x 1) -3) (pow.f64 (/.f64 x (+.f64 x 1)) 3)))
(*.f64 (+.f64 (pow.f64 (+.f64 -1 x) -3) (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (pow.f64 (+.f64 -1 x) -2) (/.f64 x (fma.f64 x x -1))))))
(/.f64 (+.f64 (pow.f64 (+.f64 -1 x) -3) (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (-.f64 (pow.f64 (+.f64 -1 x) -2) (-.f64 (/.f64 x (fma.f64 x x -1)) (pow.f64 (/.f64 x (+.f64 x 1)) 2))))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x 1) -2) (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (-.f64 (pow.f64 (-.f64 x 1) -2) (pow.f64 (/.f64 x (+.f64 x 1)) 2))) (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1))))
(+.f64 (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 x 1)))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x 1) -2) (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (-.f64 (pow.f64 (-.f64 x 1) -3) (pow.f64 (/.f64 x (+.f64 x 1)) 3))) (+.f64 (pow.f64 (-.f64 x 1) -2) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (/.f64 x (fma.f64 x x -1)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 -1 x) -2) (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (-.f64 (pow.f64 (+.f64 -1 x) -3) (pow.f64 (/.f64 x (+.f64 x 1)) 3))) (+.f64 (pow.f64 (+.f64 -1 x) -2) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (/.f64 x (fma.f64 x x -1)))))
(/.f64 (-.f64 (pow.f64 (+.f64 -1 x) -2) (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (/.f64 (-.f64 (pow.f64 (+.f64 -1 x) -3) (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (+.f64 (pow.f64 (+.f64 -1 x) -2) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (/.f64 x (fma.f64 x x -1))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x 1) -2) (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (+.f64 1 (-.f64 x (*.f64 x (-.f64 x 1))))) (fma.f64 x x -1))
(*.f64 (fma.f64 x x -1) (/.f64 (-.f64 (pow.f64 (+.f64 -1 x) -2) (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (+.f64 1 (-.f64 x (*.f64 x (+.f64 -1 x))))))
(*.f64 (fma.f64 x x -1) (/.f64 (-.f64 (pow.f64 (+.f64 -1 x) -2) (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (+.f64 x (-.f64 1 (-.f64 (*.f64 x x) x)))))
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(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (+.f64 x 1)))
(/.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 -1 (pow.f64 x 3)))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (+.f64 1 (*.f64 x x)) (neg.f64 x)))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (+.f64 x 1)))
(/.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 -1 (pow.f64 x 3)))
(*.f64 (/.f64 1 (-.f64 1 x)) -1)
(/.f64 -1 (-.f64 1 x))
(*.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 (/.f64 1 (cbrt.f64 (+.f64 -1 x))) 1) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x 1)) -1) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 x 1)) 2) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2)) (/.f64 1 (cbrt.f64 (+.f64 -1 x))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (+.f64 -1 x))) 1) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))
(*.f64 (/.f64 (fma.f64 x x (+.f64 1 x)) (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) 1)) (+.f64 1 (pow.f64 x 3)))
(*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 (fma.f64 x x (+.f64 x 1)) (+.f64 (pow.f64 x 6) -1)))
(*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 -1 (pow.f64 x 6))))
(*.f64 (/.f64 (fma.f64 x x (+.f64 1 x)) (-.f64 (pow.f64 (pow.f64 x 3) 3) 1)) (+.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) (pow.f64 x 3))))
(*.f64 (/.f64 (fma.f64 x x (+.f64 x 1)) (+.f64 (pow.f64 (pow.f64 x 3) 3) -1)) (+.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x 6))))
(*.f64 (/.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 -1 (pow.f64 (pow.f64 x 3) 3))) (+.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x 6))))
(*.f64 (/.f64 1 (neg.f64 (fma.f64 x x -1))) (-.f64 -1 x))
(/.f64 (*.f64 (+.f64 x 1) 1) (fma.f64 x x -1))
(/.f64 (+.f64 x 1) (fma.f64 x x -1))
(*.f64 (/.f64 1 (neg.f64 (+.f64 -1 (pow.f64 x 3)))) (neg.f64 (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 1 (fma.f64 x x x)) (+.f64 -1 (pow.f64 x 3)))
(*.f64 (/.f64 -1 (neg.f64 (fma.f64 x x -1))) (+.f64 1 x))
(/.f64 (*.f64 (+.f64 x 1) 1) (fma.f64 x x -1))
(/.f64 (+.f64 x 1) (fma.f64 x x -1))
(*.f64 (/.f64 1 (/.f64 (fma.f64 x x -1) (hypot.f64 1 (sqrt.f64 x)))) (hypot.f64 1 (sqrt.f64 x)))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (*.f64 (/.f64 1 (fma.f64 x x -1)) (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (/.f64 (hypot.f64 1 (sqrt.f64 x)) (fma.f64 x x -1)))
(*.f64 (/.f64 1 (/.f64 (fma.f64 x x -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (cbrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (/.f64 1 (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))
(*.f64 (/.f64 (pow.f64 (-.f64 x 1) -1/2) (sqrt.f64 (fma.f64 x x -1))) (hypot.f64 1 (sqrt.f64 x)))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (/.f64 (pow.f64 (+.f64 -1 x) -1/2) (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (/.f64 (pow.f64 (-.f64 x 1) -1/2) (sqrt.f64 (+.f64 -1 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (+.f64 -1 x) -1/2) (sqrt.f64 (+.f64 -1 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x (+.f64 x 1))))
(*.f64 (/.f64 (pow.f64 (+.f64 -1 x) -1/2) (sqrt.f64 (+.f64 -1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 -1 (neg.f64 (+.f64 -1 (pow.f64 x 3)))) (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 1 (fma.f64 x x x)) (+.f64 -1 (pow.f64 x 3)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x 1)) 2)) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 1 (*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))))
(/.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x 1)) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 x x (+.f64 1 x))))
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x 3))) (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2))) (cbrt.f64 (fma.f64 x x (+.f64 x 1))))
(*.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (cbrt.f64 (+.f64 -1 (pow.f64 x 3))))) (cbrt.f64 (+.f64 1 (fma.f64 x x x))))
(*.f64 (/.f64 (+.f64 1 x) (*.f64 (fma.f64 x x -1) (fma.f64 x x -1))) (fma.f64 x x -1))
(*.f64 (fma.f64 x x -1) (/.f64 (+.f64 x 1) (*.f64 (fma.f64 x x -1) (fma.f64 x x -1))))
(*.f64 (/.f64 (+.f64 x 1) (fma.f64 x x -1)) (/.f64 (fma.f64 x x -1) (fma.f64 x x -1)))
(*.f64 (/.f64 (+.f64 1 x) (*.f64 (-.f64 x 1) (fma.f64 x x -1))) (-.f64 x 1))
(*.f64 (+.f64 -1 x) (/.f64 (+.f64 x 1) (*.f64 (+.f64 -1 x) (fma.f64 x x -1))))
(/.f64 (/.f64 (fma.f64 x x -1) (+.f64 -1 x)) (fma.f64 x x -1))
(*.f64 (/.f64 (+.f64 1 x) (*.f64 (-.f64 x 1) (+.f64 1 (pow.f64 x 3)))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 (/.f64 (+.f64 x 1) (+.f64 -1 x)) (+.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 (+.f64 x 1) (+.f64 -1 x)) (/.f64 (-.f64 (fma.f64 x x 1) x) (+.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 (+.f64 1 x) (*.f64 (+.f64 1 x) (fma.f64 x x -1))) (+.f64 1 x))
(/.f64 (*.f64 (+.f64 x 1) 1) (fma.f64 x x -1))
(/.f64 (+.f64 x 1) (fma.f64 x x -1))
(*.f64 (/.f64 (+.f64 1 x) (*.f64 (+.f64 1 x) (+.f64 -1 (pow.f64 x 3)))) (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 1 (fma.f64 x x x)) (+.f64 -1 (pow.f64 x 3)))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 1)) (+.f64 1 (*.f64 x x)))
(*.f64 (+.f64 1 (*.f64 x x)) (/.f64 (+.f64 x 1) (+.f64 (pow.f64 x 4) -1)))
(/.f64 (+.f64 x 1) (/.f64 (+.f64 -1 (pow.f64 x 4)) (fma.f64 x x 1)))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 (pow.f64 (*.f64 x x) 3) 1)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 1 (*.f64 x x))))
(*.f64 (+.f64 (pow.f64 x 4) (+.f64 1 (*.f64 x x))) (/.f64 (+.f64 x 1) (+.f64 (pow.f64 x 6) -1)))
(*.f64 (+.f64 1 (fma.f64 x x (pow.f64 x 4))) (/.f64 (+.f64 x 1) (+.f64 -1 (pow.f64 x 6))))
(*.f64 (/.f64 (+.f64 1 x) (*.f64 (fma.f64 x x -1) (+.f64 1 (pow.f64 x 3)))) (*.f64 (+.f64 1 x) (fma.f64 x x (-.f64 1 x))))
(/.f64 (*.f64 (+.f64 x 1) (*.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 x 1))) (*.f64 (fma.f64 x x -1) (+.f64 1 (pow.f64 x 3))))
(*.f64 (-.f64 (fma.f64 x x 1) x) (/.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (fma.f64 x x -1) (+.f64 1 (pow.f64 x 3)))))
(*.f64 (/.f64 (+.f64 1 x) (*.f64 (fma.f64 x x -1) (+.f64 -1 (pow.f64 x 3)))) (*.f64 (-.f64 x 1) (fma.f64 x x (+.f64 1 x))))
(*.f64 (/.f64 (+.f64 x 1) (*.f64 (fma.f64 x x -1) (+.f64 -1 (pow.f64 x 3)))) (*.f64 (+.f64 -1 x) (fma.f64 x x (+.f64 x 1))))
(*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 (fma.f64 x x -1) (*.f64 (fma.f64 x x -1) (+.f64 -1 (pow.f64 x 3)))))
(*.f64 (/.f64 (+.f64 1 x) (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 -1 (pow.f64 x 3)))) (*.f64 (fma.f64 x x (-.f64 1 x)) (fma.f64 x x (+.f64 1 x))))
(/.f64 (*.f64 (+.f64 x 1) (*.f64 (fma.f64 x x (-.f64 1 x)) (fma.f64 x x (+.f64 x 1)))) (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 -1 (pow.f64 x 3))))
(*.f64 (-.f64 (fma.f64 x x 1) x) (*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 (+.f64 x 1) (+.f64 -1 (pow.f64 x 6)))))
(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 x 1) -3) 1/3)
(cbrt.f64 (pow.f64 (+.f64 -1 x) -3))
(sqrt.f64 (pow.f64 (-.f64 x 1) -2))
(sqrt.f64 (pow.f64 (+.f64 -1 x) -2))
(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 x 1) -3))
(cbrt.f64 (pow.f64 (+.f64 -1 x) -3))
(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))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 x 1))))
(/.f64 1 (+.f64 -1 x))

eval194.0ms (11.5%)

Compiler

Compiled 10159 to 7240 computations (28.7% saved)

prune67.0ms (3.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New4223425
Fresh000
Picked011
Done000
Total4224426
Error
0b
Counts
426 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
▶32.2b
(+.f64 1 (/.f64 (/.f64 2 x) x))
31.9b
1
31.5b
-1
Compiler

Compiled 24 to 19 computations (20.8% saved)

localize8.0ms (0.5%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (/.f64 2 x) x)
Compiler

Compiled 19 to 13 computations (31.6% saved)

series1.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

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

rewrite50.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
1378×add-sqr-sqrt
1356×*-un-lft-identity
1274×add-cube-cbrt
1260×add-cbrt-cube
1248×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
113213
2171313
Stop Event
1×node limit
Counts
1 → 36
Calls
Call 1
Inputs
(/.f64 (/.f64 2 x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (/.f64 2 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 x)) (*.f64 (sqrt.f64 (/.f64 2 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 2 x) x)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 2 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 2 x) x)) 2) (cbrt.f64 (/.f64 (/.f64 2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (*.f64 (cbrt.f64 (/.f64 2 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 x) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 2 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 2 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 2 x)) 1) (/.f64 (sqrt.f64 (/.f64 2 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 2 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 2 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 2 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 2 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (/.f64 2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 2 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 2 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 2 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 2 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 2 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 2 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 2 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 2 x) x)))))))

simplify49.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
1522×associate-+r+
1368×associate-+l+
844×distribute-lft-in
740×associate-*r/
512×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
097744
1253726
2883726
33763726
Stop Event
1×node limit
Counts
48 → 43
Calls
Call 1
Inputs
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(-.f64 (+.f64 1 (/.f64 (/.f64 2 x) x)) 1)
(*.f64 2 (*.f64 (/.f64 1 x) (/.f64 1 x)))
(*.f64 2 (/.f64 1 (*.f64 x x)))
(*.f64 2 (/.f64 (/.f64 1 x) x))
(*.f64 (/.f64 2 x) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 2 x) x) 1)
(*.f64 1 (/.f64 (/.f64 2 x) x))
(*.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 (/.f64 2 x)) (*.f64 (sqrt.f64 (/.f64 2 x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 2 x) x)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 2 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 2 x) x)) 2) (cbrt.f64 (/.f64 (/.f64 2 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (*.f64 (cbrt.f64 (/.f64 2 x)) (/.f64 1 x)))
(*.f64 (/.f64 1 x) (/.f64 2 x))
(*.f64 (/.f64 -2 x) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 2 x) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 2 x) (cbrt.f64 x)))
(*.f64 (/.f64 2 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 x)) 1) (/.f64 (sqrt.f64 (/.f64 2 x)) x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 2 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 2 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 2 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (/.f64 2 x) x)))
(pow.f64 (/.f64 (/.f64 2 x) x) 1)
(pow.f64 (/.f64 (sqrt.f64 2) x) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 2 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 2 x) x) 3) 1/3)
(pow.f64 (/.f64 x (/.f64 2 x)) -1)
(neg.f64 (/.f64 (/.f64 2 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 2 x) x) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 2 x) x)))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 2 x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 2 x) x)))
(exp.f64 (log.f64 (/.f64 (/.f64 2 x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 2 x) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 2 x) x)))
Outputs
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(-.f64 (+.f64 1 (/.f64 (/.f64 2 x) x)) 1)
(/.f64 2 (*.f64 x x))
(*.f64 2 (*.f64 (/.f64 1 x) (/.f64 1 x)))
(/.f64 2 (*.f64 x x))
(*.f64 2 (/.f64 1 (*.f64 x x)))
(/.f64 2 (*.f64 x x))
(*.f64 2 (/.f64 (/.f64 1 x) x))
(/.f64 2 (*.f64 x x))
(*.f64 (/.f64 2 x) (/.f64 1 x))
(/.f64 2 (*.f64 x x))
(*.f64 (/.f64 (/.f64 2 x) x) 1)
(/.f64 2 (*.f64 x x))
(*.f64 1 (/.f64 (/.f64 2 x) x))
(/.f64 2 (*.f64 x x))
(*.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x))
(/.f64 2 (*.f64 x x))
(*.f64 (sqrt.f64 (/.f64 2 x)) (*.f64 (sqrt.f64 (/.f64 2 x)) (/.f64 1 x)))
(/.f64 2 (*.f64 x x))
(*.f64 (cbrt.f64 (/.f64 (/.f64 2 x) x)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 2 x) x)) 2))
(/.f64 2 (*.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 2 x) x)) 2) (cbrt.f64 (/.f64 (/.f64 2 x) x)))
(/.f64 2 (*.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (*.f64 (cbrt.f64 (/.f64 2 x)) (/.f64 1 x)))
(/.f64 2 (*.f64 x x))
(*.f64 (/.f64 1 x) (/.f64 2 x))
(/.f64 2 (*.f64 x x))
(*.f64 (/.f64 -2 x) (/.f64 1 (neg.f64 x)))
(/.f64 2 (*.f64 x x))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 2 x) (sqrt.f64 x)))
(/.f64 2 (*.f64 x x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 2 x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 2 (*.f64 (cbrt.f64 x) x)))
(/.f64 (/.f64 2 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 2 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(*.f64 (/.f64 2 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))
(/.f64 2 (*.f64 x x))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 2 (*.f64 (cbrt.f64 x) x)))
(/.f64 (/.f64 2 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 2 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 x)) 1) (/.f64 (sqrt.f64 (/.f64 2 x)) x))
(/.f64 2 (*.f64 x x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 2 x)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 2 (*.f64 (cbrt.f64 x) x)))
(/.f64 (/.f64 2 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 2 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 2 x)) x))
(/.f64 2 (*.f64 x x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 2 x)) (sqrt.f64 x)))
(/.f64 2 (*.f64 x x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (/.f64 2 x) x)))
(*.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 2 (*.f64 x x)))))
(pow.f64 (/.f64 (/.f64 2 x) x) 1)
(/.f64 2 (*.f64 x x))
(pow.f64 (/.f64 (sqrt.f64 2) x) 2)
(/.f64 2 (*.f64 x x))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 2 x) x)) 3)
(/.f64 2 (*.f64 x x))
(pow.f64 (pow.f64 (/.f64 (/.f64 2 x) x) 3) 1/3)
(/.f64 2 (*.f64 x x))
(pow.f64 (/.f64 x (/.f64 2 x)) -1)
(/.f64 2 (*.f64 x x))
(neg.f64 (/.f64 (/.f64 2 x) (neg.f64 x)))
(/.f64 2 (*.f64 x x))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 2 x) x) 2))
(/.f64 2 (*.f64 x x))
(log.f64 (exp.f64 (/.f64 (/.f64 2 x) x)))
(/.f64 2 (*.f64 x x))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 2 x) x) 3))
(/.f64 2 (*.f64 x x))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 2 x) x)))
(/.f64 2 (*.f64 x x))
(exp.f64 (log.f64 (/.f64 (/.f64 2 x) x)))
(/.f64 2 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 2 x) x)) 1))
(/.f64 2 (*.f64 x x))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 2 x) x)))
(/.f64 2 (*.f64 x x))

eval10.0ms (0.6%)

Compiler

Compiled 528 to 396 computations (25% saved)

prune6.0ms (0.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New43043
Fresh022
Picked011
Done011
Total43447
Error
0b
Counts
47 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
✓32.2b
(+.f64 1 (/.f64 (/.f64 2 x) x))
31.9b
1
31.5b
-1
Compiler

Compiled 24 to 19 computations (20.8% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done022
Total044
Error
0b
Counts
4 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
✓32.2b
(+.f64 1 (/.f64 (/.f64 2 x) x))
31.9b
1
31.5b
-1
Compiler

Compiled 24 to 19 computations (20.8% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done022
Total044
Error
0b
Counts
4 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
✓32.2b
(+.f64 1 (/.f64 (/.f64 2 x) x))
31.9b
1
31.5b
-1
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes7.0ms (0.4%)

Counts
4 → 1
Calls
Call 1
Inputs
-1
1
(+.f64 1 (/.f64 (/.f64 2 x) x))
(+.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:

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 35 to 26 computations (25.7% saved)

regimes10.0ms (0.6%)

Counts
3 → 3
Calls
Call 1
Inputs
-1
1
(+.f64 1 (/.f64 (/.f64 2 x) x))
Outputs
(+.f64 1 (/.f64 (/.f64 2 x) x))
-1
(+.f64 1 (/.f64 (/.f64 2 x) x))
Calls

1 calls:

10.0ms
x
Results
ErrorSegmentsBranch
0.3b3x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch35.0ms (2.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
17.0ms
1.246944490804523e-10
8.7250990955827
19.0ms
-3.7218197972149913
-5.761805986556604e-20
Results
31.0ms336×body256valid
Compiler

Compiled 268 to 222 computations (17.2% saved)

regimes11.0ms (0.6%)

Accuracy

Total -62.6b remaining (-14206.2%)

Threshold costs -62.6b (-14206.2%)

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

1 calls:

10.0ms
x
Results
ErrorSegmentsBranch
0.4b3x
Compiler

Compiled 5 to 4 computations (20% saved)

bsearch38.0ms (2.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
1.246944490804523e-10
8.7250990955827
18.0ms
-3.7218197972149913
-5.761805986556604e-20
Results
34.0ms336×body256valid
Compiler

Compiled 142 to 138 computations (2.8% saved)

simplify5.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
8×+-commutative
4×if-if-or-not
2×sub-neg
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02398
13798
23898
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
(if (<=.f64 x -1) (+.f64 1 (/.f64 (/.f64 2 x) x)) (if (<=.f64 x 1) -1 (+.f64 1 (/.f64 (/.f64 2 x) x))))
(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 -1) (+.f64 1 (/.f64 (/.f64 2 x) x)) (if (<=.f64 x 1) -1 (+.f64 1 (/.f64 (/.f64 2 x) x))))
(if (or (<=.f64 x -1) (not (<=.f64 x 1))) (+.f64 1 (/.f64 (/.f64 2 x) x)) -1)
(if (<=.f64 x -1) 1 (if (<=.f64 x 1) -1 1))
-1
Compiler

Compiled 44 to 35 computations (20.5% saved)

soundness0.0ms (0%)

end31.0ms (1.9%)

Compiler

Compiled 41 to 32 computations (22% saved)

Profiling

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