Details

Time bar (total: 3.3s)

analyze9.0ms (0.3%)

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)

sample845.0ms (25.5%)

Results
833.0ms8256×body256valid
Bogosity

preprocess15.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
11516
21616
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)

simplify9.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
11516
21616
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%)

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 (0.4%)

Local error

Found 2 expressions with local error:

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

Compiled 30 to 21 computations (30% saved)

series3.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite73.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
489×fma-def_binary64
464×log-prod_binary64
365×pow-prod-down_binary64
250×pow2_binary64
249×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0823
119323
2315723
Stop Event
1×node limit
Counts
2 → 121
Calls
Call 1
Inputs
(/.f64 1 (-.f64 x 1))
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))) (/.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (-.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))) 2) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1)))) (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 x)))) (exp.f64 (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 x (+.f64 1 x))) (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 x)))) (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 x -1)) 1 (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (+.f64 1 x)) 1 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2) (cbrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) (sqrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (fma.f64 -1 x 1)) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) (/.f64 1 (fma.f64 -1 x -1)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 x)) x (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) -2) (/.f64 1 (cbrt.f64 (+.f64 x -1))) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -2) (/.f64 x (cbrt.f64 (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 x) -1/2) (/.f64 x (sqrt.f64 (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -1)) (+.f64 (fma.f64 x x 1) x) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 1 x) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x) (/.f64 1 (+.f64 x -1)))))))

simplify53.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
724×fma-def_binary64
537×distribute-rgt-out_binary64
467×unswap-sqr_binary64
397×distribute-lft-out_binary64
358×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
048343
1140328
2381322
31147319
44644319
Stop Event
1×node limit
Counts
145 → 148
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))))
-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))))))
Outputs
-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 -1 (fma.f64 x x x))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) (neg.f64 x))) -1)
(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 (fma.f64 x x 1) (-.f64 -1 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 x) (/.f64 (/.f64 1 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 (/.f64 1 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 1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 x 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 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 1 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 (/.f64 1 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 1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 x 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)))))
-1
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(fma.f64 -2 (*.f64 x x) -1)
(fma.f64 (*.f64 x x) -2 -1)
(fma.f64 x (*.f64 x -2) -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))))
(fma.f64 -2 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))) -1)
(fma.f64 -2 (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6))) -1)
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 2 (*.f64 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 (+.f64 1 (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 4)))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.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 (+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))) (/.f64 2 (pow.f64 x 4)))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 1 (/.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 (/.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 (+.f64 1 (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 4)))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.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 (+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))) (/.f64 2 (pow.f64 x 4)))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 1 (/.f64 2 (pow.f64 x 6)))))

eval56.0ms (1.7%)

Compiler

Compiled 2540 to 1917 computations (24.5% saved)

prune22.0ms (0.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1426148
Fresh000
Picked011
Done000
Total1427149
Error
0b
Counts
149 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
32.4b
1
▶0.0b
(/.f64 (+.f64 (/.f64 (+.f64 1 x) x) (+.f64 x -1)) (*.f64 (+.f64 x -1) (/.f64 (+.f64 1 x) x)))
▶31.0b
(+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))
▶31.1b
(+.f64 -1 (/.f64 x (+.f64 x 1)))
✓0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
▶0.1b
(fma.f64 (/.f64 1 (+.f64 1 x)) x (/.f64 1 (+.f64 x -1)))
▶32.5b
(+.f64 1 (/.f64 2 (*.f64 x x)))
Compiler

Compiled 132 to 97 computations (26.5% saved)

localize23.0ms (0.7%)

Local error

Found 2 expressions with local error:

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

Compiled 52 to 35 computations (32.7% saved)

series4.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite78.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
613×log-prod_binary64
526×fma-def_binary64
311×pow2_binary64
304×log-div_binary64
298×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01041
123441
2384831
Stop Event
1×node limit
Counts
2 → 103
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 (+.f64 1 x) x) (+.f64 x -1)) (*.f64 (+.f64 x -1) (/.f64 (+.f64 1 x) x)))
(*.f64 (+.f64 x -1) (/.f64 (+.f64 1 x) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x (+.f64 -1 (/.f64 (+.f64 1 x) x))) (/.f64 (fma.f64 x x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x (+.f64 -1 (/.f64 (+.f64 1 x) x))) (/.f64 (fma.f64 x x -1) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x (+.f64 -1 (/.f64 (+.f64 1 x) x))) (/.f64 (fma.f64 x x -1) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x (+.f64 -1 (/.f64 (+.f64 1 x) x))) (/.f64 (fma.f64 x x -1) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x (+.f64 -1 (/.f64 (+.f64 1 x) x))) (/.f64 (fma.f64 x x -1) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (+.f64 -1 (/.f64 (+.f64 1 x) x))) (/.f64 (fma.f64 x x -1) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x (+.f64 -1 (/.f64 (+.f64 1 x) x))) (/.f64 (fma.f64 x x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify57.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
706×times-frac_binary64
645×fma-neg_binary64
425×associate-/l/_binary64
422×cancel-sign-sub-inv_binary64
368×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035233
197226
2237224
3598224
41949224
56795224
Stop Event
1×node limit
Counts
127 → 121
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))))))
(/.f64 -1 x)
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
x
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
x
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
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))))
(fma.f64 -2 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))) -1)
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 2 (*.f64 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 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.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 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (pow.f64 x 6))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.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 (/.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 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.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 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (pow.f64 x 6))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 6)))))
(/.f64 -1 x)
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
x
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
x
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))

localize38.0ms (1.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓2.2b
(+.f64 -1 (/.f64 x (+.f64 x 1)))
Compiler

Compiled 19 to 13 computations (31.6% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite81.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
868×pow1_binary64
810×add-log-exp_binary64
810×log1p-expm1-u_binary64
810×expm1-log1p-u_binary64
796×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
115410
2213510
Stop Event
1×node limit
Counts
1 → 32
Calls
Call 1
Inputs
(+.f64 -1 (/.f64 x (+.f64 x 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 -1 (/.f64 x (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 -1 (/.f64 x (+.f64 x 1)))) (/.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 -1 (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (/.f64 x (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))) (sqrt.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (/.f64 x (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (/.f64 1 (-.f64 -1 (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) 1) (-.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (/.f64 x (+.f64 x 1)))) (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 -1 (/.f64 x (+.f64 x 1))) (-.f64 1 (pow.f64 (/.f64 x (+.f64 x 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (+.f64 1 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 1 (/.f64 (neg.f64 x) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (-.f64 -1 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 x (+.f64 x 1)) 3))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (/.f64 x (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 x (+.f64 x 1)) 2))) (neg.f64 (-.f64 -1 (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) 1) (-.f64 (/.f64 x (+.f64 x 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1 (/.f64 x (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1 (/.f64 x (+.f64 x 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 x (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 x (+.f64 x 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -1 (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2) (cbrt.f64 (/.f64 x (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 x (+.f64 x 1))) -1)))))

simplify56.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
599×fma-def_binary64
513×associate-*l*_binary64
426×associate-*r*_binary64
401×fma-neg_binary64
377×difference-of-squares_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027173
170171
2161164
3466164
41541164
56787164
Stop Event
1×node limit
Counts
44 → 46
Calls
Call 1
Inputs
-1
(-.f64 x 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) x) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) 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 (/.f64 1 (pow.f64 x 4)) (/.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 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
Outputs
-1
(-.f64 x 1)
(+.f64 x -1)
(+.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) x) 1)
(+.f64 (fma.f64 -1 (*.f64 x x) x) -1)
(+.f64 -1 (-.f64 x (*.f64 x x)))
(-.f64 x (fma.f64 x x 1))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) 1)
(+.f64 (fma.f64 -1 (*.f64 x x) (+.f64 x (pow.f64 x 3))) -1)
(+.f64 -1 (-.f64 (+.f64 x (pow.f64 x 3)) (*.f64 x x)))
(*.f64 (fma.f64 x x 1) (+.f64 -1 x))
(*.f64 (+.f64 -1 x) (fma.f64 x x 1))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))
(-.f64 (/.f64 (/.f64 1 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 (/.f64 (/.f64 1 x) x) (/.f64 1 x)) (/.f64 -1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 -1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 -1 x) (*.f64 (+.f64 (/.f64 -1 x) 1) (/.f64 1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.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 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
(+.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 x) (*.f64 (+.f64 (/.f64 -1 x) 1) (/.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 (*.f64 x x)) (/.f64 -1 x))
(-.f64 (/.f64 (/.f64 1 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 (/.f64 (/.f64 1 x) x) (/.f64 1 x)) (/.f64 -1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 -1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 -1 x) (*.f64 (+.f64 (/.f64 -1 x) 1) (/.f64 1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.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 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
(+.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 x) (*.f64 (+.f64 (/.f64 -1 x) 1) (/.f64 1 (*.f64 x x)))) (/.f64 1 (pow.f64 x 4)))

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.5b
(/.f64 2 (*.f64 x x))
Compiler

Compiled 19 to 10 computations (47.4% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite48.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
491×pow1_binary64
479×add-sqr-sqrt_binary64
458×add-log-exp_binary64
458×log1p-expm1-u_binary64
458×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11087
212977
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(/.f64 2 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (/.f64 2 (*.f64 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 -2 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 (*.f64 x x))))))))

simplify156.0ms (4.7%)

Algorithm
1×egg-herbie
Rules
1146×associate-/r*_binary64
1082×sqr-pow_binary64
560×cube-prod_binary64
553×fabs-mul_binary64
523×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0584
11084
21984
33484
47484
522284
683184
7204084
8220684
9239084
10259884
11289784
12329084
13377384
14433984
15502584
16586484
17625684
18654284
19681684
20688884
21692284
Stop Event
1×node limit
Counts
33 → 23
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))
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))

localize11.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 24 to 16 computations (33.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite70.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
470×fma-def_binary64
413×log-prod_binary64
319×exp-prod_binary64
314×pow-prod-down_binary64
239×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
118513
2292713
Stop Event
1×node limit
Counts
1 → 92
Calls
Call 1
Inputs
(+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 x (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))) (/.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))) (sqrt.f64 (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (/.f64 1 (fma.f64 (/.f64 x (+.f64 x 1)) (-.f64 (/.f64 x (+.f64 x 1)) (-.f64 -1 x)) (pow.f64 (-.f64 -1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (/.f64 1 (-.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 x (+.f64 x 1)) (-.f64 (/.f64 x (+.f64 x 1)) (-.f64 -1 x)) (pow.f64 (-.f64 -1 x) 2)) (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (/.f64 x (+.f64 x 1)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))) (-.f64 (pow.f64 (-.f64 -1 x) 2) (pow.f64 (/.f64 x (+.f64 x 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (fma.f64 (/.f64 x (+.f64 x 1)) (-.f64 (/.f64 x (+.f64 x 1)) (-.f64 -1 x)) (pow.f64 (-.f64 -1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (pow.f64 (-.f64 -1 x) 2) (/.f64 (*.f64 (-.f64 -1 x) x) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (-.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (/.f64 x (+.f64 x 1)) 3))) (neg.f64 (fma.f64 (/.f64 x (+.f64 x 1)) (-.f64 (/.f64 x (+.f64 x 1)) (-.f64 -1 x)) (pow.f64 (-.f64 -1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (pow.f64 (/.f64 x (+.f64 x 1)) 2))) (neg.f64 (-.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (-.f64 -1 (pow.f64 x 3)) (+.f64 x 1) (*.f64 (fma.f64 x (+.f64 -1 x) 1) x)) (*.f64 (fma.f64 x (+.f64 -1 x) 1) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (-.f64 1 (*.f64 x x)) (+.f64 x 1) (*.f64 (+.f64 -1 x) x)) (*.f64 (+.f64 -1 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 (+.f64 x 1) x) (*.f64 (fma.f64 x (+.f64 -1 x) 1) 1)) (*.f64 (fma.f64 x (+.f64 -1 x) 1) (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 (+.f64 x 1) x) (*.f64 (+.f64 -1 x) 1)) (*.f64 (+.f64 -1 x) (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (-.f64 -1 (pow.f64 x 3)) (-.f64 -1 x) (*.f64 (fma.f64 x (+.f64 -1 x) 1) (neg.f64 x))) (*.f64 (fma.f64 x (+.f64 -1 x) 1) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (-.f64 1 (*.f64 x x)) (-.f64 -1 x) (*.f64 (+.f64 -1 x) (neg.f64 x))) (*.f64 (+.f64 -1 x) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x (fma.f64 x (+.f64 -1 x) 1) (*.f64 (+.f64 x 1) (-.f64 -1 (pow.f64 x 3)))) (*.f64 (+.f64 x 1) (fma.f64 x (+.f64 -1 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (fma.f64 x (+.f64 -1 x) 1) (*.f64 (/.f64 (+.f64 x 1) x) (-.f64 -1 (pow.f64 x 3)))) (*.f64 (/.f64 (+.f64 x 1) x) (fma.f64 x (+.f64 -1 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (neg.f64 x) (fma.f64 x (+.f64 -1 x) 1) (*.f64 (-.f64 -1 x) (-.f64 -1 (pow.f64 x 3)))) (*.f64 (-.f64 -1 x) (fma.f64 x (+.f64 -1 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x (+.f64 -1 x) (*.f64 (+.f64 x 1) (-.f64 1 (*.f64 x x)))) (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 -1 x) (*.f64 (/.f64 (+.f64 x 1) x) (-.f64 1 (*.f64 x x)))) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (neg.f64 x) (+.f64 -1 x) (*.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))) (*.f64 (-.f64 -1 x) (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (pow.f64 (-.f64 x (/.f64 x (+.f64 x 1))) 3)) (+.f64 1 (+.f64 (pow.f64 (-.f64 x (/.f64 x (+.f64 x 1))) 2) (*.f64 -1 (-.f64 x (/.f64 x (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (-.f64 x (/.f64 x (+.f64 x 1))) 2)) (+.f64 -1 (-.f64 x (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 (-.f64 -1 x) 2)) (-.f64 (/.f64 x (+.f64 x 1)) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 x (+.f64 x 1)) (-.f64 (/.f64 x (+.f64 x 1)) (-.f64 -1 x)) (pow.f64 (-.f64 -1 x) 2)) (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (/.f64 x (+.f64 x 1)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))) (-.f64 (pow.f64 (-.f64 -1 x) 2) (pow.f64 (/.f64 x (+.f64 x 1)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))))) 2)) (cbrt.f64 (log.f64 (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))))) (sqrt.f64 (log.f64 (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (exp.f64 (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (-.f64 -1 x)) (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x 1)))) (exp.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 x (+.f64 x 1))) (+.f64 1 (expm1.f64 (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x 1)))) (+.f64 1 (expm1.f64 (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (+.f64 x 1) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 -1 (-.f64 -1 x)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 -1 x) 1 (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x (+.f64 x 1)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (+.f64 x 1)) 1 (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (neg.f64 (cbrt.f64 (+.f64 x 1))) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 -1 (-.f64 -1 x))) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2) (cbrt.f64 (/.f64 x (+.f64 x 1))) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (sqrt.f64 x)) (neg.f64 (hypot.f64 1 (sqrt.f64 x))) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 -1 (-.f64 -1 x))) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 x (+.f64 x 1))) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 x)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 -1 x) 1)) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (-.f64 -1 x)) x (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 -1 x)) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x 1)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x 1)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) -2) (/.f64 x (cbrt.f64 (+.f64 x 1))) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 x (+.f64 x 1))) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x 1))) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) -1/2) (/.f64 x (hypot.f64 1 (sqrt.f64 x))) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 x))) (hypot.f64 1 (sqrt.f64 x)) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 x 1)) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 -1 x) (-.f64 -1 x))))))

simplify104.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
446×sub-neg_binary64
345×fma-def_binary64
317×fma-neg_binary64
276×distribute-neg-frac_binary64
230×associate-/r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
027158
177145
2195138
3611138
42727136
56663136
Stop Event
1×node limit
Counts
104 → 107
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -1 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3)) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (pow.f64 x 3))) 1)
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1 x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1 x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
Outputs
-1
(-.f64 (*.f64 -1 (pow.f64 x 2)) 1)
(fma.f64 -1 (*.f64 x x) -1)
(-.f64 -1 (*.f64 x x))
(fma.f64 x (neg.f64 x) -1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3)) 1)
(+.f64 (fma.f64 -1 (*.f64 x x) (pow.f64 x 3)) -1)
(+.f64 -1 (-.f64 (pow.f64 x 3) (*.f64 x x)))
(-.f64 (pow.f64 x 3) (fma.f64 x x 1))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (pow.f64 x 3))) 1)
(+.f64 (fma.f64 -1 (*.f64 x x) (fma.f64 -1 (pow.f64 x 4) (pow.f64 x 3))) -1)
(+.f64 -1 (-.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 4)) (*.f64 x x)))
(-.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 4)) (fma.f64 x x 1))
(-.f64 (-.f64 (pow.f64 x 3) (fma.f64 x x 1)) (pow.f64 x 4))
(fma.f64 (*.f64 x x) (-.f64 x (fma.f64 x x 1)) -1)
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) (/.f64 1 x))
(-.f64 (neg.f64 x) (/.f64 1 x))
(fma.f64 -1 x (/.f64 -1 x))
(-.f64 (/.f64 -1 x) x)
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1 x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (neg.f64 x) (/.f64 1 x)))
(+.f64 (-.f64 (/.f64 1 (*.f64 x x)) x) (/.f64 -1 x))
(-.f64 (/.f64 (/.f64 1 x) x) (-.f64 x (/.f64 -1 x)))
(-.f64 (/.f64 (/.f64 1 x) x) (+.f64 x (/.f64 1 x)))
(+.f64 (-.f64 (/.f64 -1 x) x) (/.f64 1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1 x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (neg.f64 x) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (-.f64 (/.f64 1 (*.f64 x x)) x) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(-.f64 (-.f64 (/.f64 -1 x) x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 1 x) x)))
(-.f64 (/.f64 (/.f64 1 x) x) (+.f64 (-.f64 x (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 -1 x) x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))))
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) (/.f64 1 x))
(-.f64 (neg.f64 x) (/.f64 1 x))
(fma.f64 -1 x (/.f64 -1 x))
(-.f64 (/.f64 -1 x) x)
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1 x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (neg.f64 x) (/.f64 1 x)))
(+.f64 (-.f64 (/.f64 1 (*.f64 x x)) x) (/.f64 -1 x))
(-.f64 (/.f64 (/.f64 1 x) x) (-.f64 x (/.f64 -1 x)))
(-.f64 (/.f64 (/.f64 1 x) x) (+.f64 x (/.f64 1 x)))
(+.f64 (-.f64 (/.f64 -1 x) x) (/.f64 1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1 x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (neg.f64 x) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (-.f64 (/.f64 1 (*.f64 x x)) x) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(-.f64 (-.f64 (/.f64 -1 x) x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 1 x) x)))
(-.f64 (/.f64 (/.f64 1 x) x) (+.f64 (-.f64 x (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 -1 x) x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))))

localize15.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

Compiled 32 to 24 computations (25% saved)

series4.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite65.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
984×pow1_binary64
913×add-log-exp_binary64
912×log1p-expm1-u_binary64
912×expm1-log1p-u_binary64
98×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0931
119630
2258030
Stop Event
1×node limit
Counts
3 → 68
Calls
Call 1
Inputs
(fma.f64 (/.f64 1 (+.f64 1 x)) x (/.f64 1 (+.f64 x -1)))
(/.f64 1 (+.f64 1 x))
(/.f64 1 (+.f64 x -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (+.f64 1 x)) 1) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))) 2) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))) (sqrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 3) (pow.f64 (/.f64 1 (+.f64 x -1)) 3)) (+.f64 (*.f64 (/.f64 x (+.f64 1 x)) (/.f64 x (+.f64 1 x))) (-.f64 (pow.f64 (+.f64 x -1) -2) (*.f64 (/.f64 x (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 x (+.f64 1 x)) (/.f64 x (+.f64 1 x))) (pow.f64 (+.f64 x -1) -2)) (-.f64 (/.f64 x (+.f64 1 x)) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 x)))))))
((#(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 -1 (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x -1)) -1) (pow.f64 (sqrt.f64 (+.f64 x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 (*.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 pow.f64 (+.f64 x -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x -1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x 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 log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 x -1))))))))

simplify57.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
572×distribute-rgt-out_binary64
467×unswap-sqr_binary64
412×fma-neg_binary64
363×associate-*l*_binary64
348×sub-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
056519
1167499
2472489
31485486
45050483
Stop Event
1×node limit
Counts
104 → 107
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))))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
-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))))
Outputs
-1
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(fma.f64 -2 (*.f64 x x) -1)
(fma.f64 x (*.f64 -2 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))))
(fma.f64 -2 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))) -1)
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 2 (*.f64 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 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 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (pow.f64 x 6))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.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 (/.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 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 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (pow.f64 x 6))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -1 x (*.f64 x x)))
(+.f64 (*.f64 x x) (-.f64 1 x))
(-.f64 (fma.f64 x x 1) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))))
(fma.f64 -1 (pow.f64 x 3) (+.f64 1 (fma.f64 -1 x (*.f64 x x))))
(-.f64 (+.f64 (*.f64 x x) (-.f64 1 x)) (pow.f64 x 3))
(-.f64 (-.f64 (fma.f64 x x 1) x) (pow.f64 x 3))
(*.f64 (-.f64 1 x) (fma.f64 x x 1))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.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 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.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)))))
-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 -1 (fma.f64 x x x))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (fma.f64 -1 (pow.f64 x 3) (*.f64 -1 (+.f64 (*.f64 x x) x))) -1)
(+.f64 -1 (-.f64 (neg.f64 (fma.f64 x x x)) (pow.f64 x 3)))
(-.f64 (-.f64 -1 (fma.f64 x x x)) (pow.f64 x 3))
(*.f64 (fma.f64 x x 1) (-.f64 -1 x))
(/.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 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.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 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 3)))))

eval151.0ms (4.5%)

Compiler

Compiled 7081 to 5112 computations (27.8% saved)

prune99.0ms (3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New4004404
Fresh011
Picked101
Done235
Total4038411
Error
0b
Counts
411 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
▶31.0b
(-.f64 -1 (-.f64 x (/.f64 x (+.f64 x 1))))
✓0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
32.4b
1
✓31.1b
(+.f64 -1 (/.f64 x (+.f64 x 1)))
▶0.1b
(*.f64 (/.f64 (/.f64 (+.f64 x (+.f64 -1 (/.f64 (+.f64 1 x) x))) (+.f64 x -1)) (+.f64 1 x)) x)
31.4b
-1
▶31.1b
(-.f64 x 1)
✓32.5b
(+.f64 1 (/.f64 2 (*.f64 x x)))
Compiler

Compiled 66 to 49 computations (25.8% saved)

localize32.0ms (1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (/.f64 (+.f64 x (+.f64 -1 (/.f64 (+.f64 1 x) x))) (+.f64 x -1)) (+.f64 1 x))
✓0.0b
(/.f64 (+.f64 x (+.f64 -1 (/.f64 (+.f64 1 x) x))) (+.f64 x -1))
✓0.1b
(*.f64 (/.f64 (/.f64 (+.f64 x (+.f64 -1 (/.f64 (+.f64 1 x) x))) (+.f64 x -1)) (+.f64 1 x)) x)
✓2.3b
(+.f64 -1 (/.f64 (+.f64 1 x) x))
Compiler

Compiled 80 to 55 computations (31.3% saved)

series5.0ms (0.2%)

Counts
4 → 48
Calls

12 calls:

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

rewrite148.0ms (4.5%)

Algorithm
1×batch-egg-rewrite
Rules
770×log-prod_binary64
557×fma-def_binary64
367×log-div_binary64
287×fma-neg_binary64
260×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01282
128682
2471272
Stop Event
1×node limit
Counts
4 → 160
Calls
Call 1
Inputs
(+.f64 -1 (/.f64 (+.f64 1 x) x))
(*.f64 (/.f64 (/.f64 (+.f64 x (+.f64 -1 (/.f64 (+.f64 1 x) x))) (+.f64 x -1)) (+.f64 1 x)) x)
(/.f64 (+.f64 x (+.f64 -1 (/.f64 (+.f64 1 x) x))) (+.f64 x -1))
(/.f64 (/.f64 (+.f64 x (+.f64 -1 (/.f64 (+.f64 1 x) x))) (+.f64 x -1)) (+.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 -1 (/.f64 (+.f64 1 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 -1 (/.f64 (+.f64 1 x) x))) (/.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 2) (-.f64 -1 (/.f64 (+.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (/.f64 (+.f64 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -1 (/.f64 (+.f64 1 x) x))) (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 (+.f64 1 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 (+.f64 1 x) x))) 2) (cbrt.f64 (+.f64 -1 (/.f64 (+.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1 (/.f64 (+.f64 1 x) x))) (sqrt.f64 (+.f64 -1 (/.f64 (+.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 1 x) x) 3)) (/.f64 1 (fma.f64 (/.f64 (+.f64 1 x) x) (-.f64 (/.f64 (+.f64 1 x) x) -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 1 x) x) 2)) (/.f64 1 (-.f64 -1 (/.f64 (+.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x)) 1) (-.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 (+.f64 1 x) x) (-.f64 (/.f64 (+.f64 1 x) x) -1) 1) (+.f64 -1 (pow.f64 (/.f64 (+.f64 1 x) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 -1 (/.f64 (+.f64 1 x) x)) (-.f64 1 (pow.f64 (/.f64 (+.f64 1 x) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 1 x) x) 3)) (fma.f64 (/.f64 (+.f64 1 x) x) (-.f64 (/.f64 (+.f64 1 x) x) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 1 x) x) 3)) (+.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 2) (-.f64 1 (/.f64 (fma.f64 -1 x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 1 x) x) 2)) (-.f64 -1 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 (+.f64 1 x) x) 3))) (neg.f64 (fma.f64 (/.f64 (+.f64 1 x) x) (-.f64 (/.f64 (+.f64 1 x) x) -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 1 x) x) 2))) (neg.f64 (-.f64 -1 (/.f64 (+.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 2) 1) (-.f64 (/.f64 (+.f64 1 x) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1 (/.f64 (+.f64 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 (+.f64 1 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -1 (/.f64 (+.f64 1 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 -1 (/.f64 (+.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (/.f64 (+.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 -1 (/.f64 (+.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -1 (/.f64 (+.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -1 (/.f64 (+.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 -1 (/.f64 (+.f64 1 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (+.f64 1 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 x) (/.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 1 x) x) 1 -1)))) (#(struct:change #<rule 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(fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 1 x) x) (+.f64 -1 x)) (fma.f64 x x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 1 x) x) (+.f64 -1 x)) (+.f64 -1 x)) 3) (pow.f64 (+.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 1 x) x) (+.f64 -1 x)) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 (+.f64 1 x) x) (+.f64 -1 x)) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 (/.f64 (+.f64 1 x) x) (+.f64 -1 x)) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 (+.f64 1 x) x) (+.f64 -1 x)) (fma.f64 x x -1))) 1))))))

simplify62.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
954×fma-neg_binary64
561×cancel-sign-sub-inv_binary64
536×distribute-rgt-out_binary64
506×unswap-sqr_binary64
379×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
070548
1213527
2557524
31429524
44351524
Stop Event
1×node limit
Counts
208 → 199
Calls
Call 1
Inputs
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
-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))))))
(/.f64 -1 x)
(neg.f64 (+.f64 1 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (+.f64 1 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 x)) (+.f64 1 (/.f64 1 x)))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(/.f64 -1 x)
(-.f64 (*.f64 -2 x) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (/.f64 1 x))
(/.f64 1 x)
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(/.f64 1 x)
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
Outputs
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
-1
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(fma.f64 -2 (*.f64 x x) -1)
(fma.f64 x (*.f64 x -2) -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))))
(fma.f64 -2 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))) -1)
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 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.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 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))) (+.f64 1 (/.f64 2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (+.f64 1 (/.f64 (/.f64 2 x) x)) (/.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 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.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 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))) (+.f64 1 (/.f64 2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (+.f64 1 (/.f64 (/.f64 2 x) x)) (/.f64 2 (pow.f64 x 6))))
(/.f64 -1 x)
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(-.f64 -1 (/.f64 1 x))
(-.f64 (*.f64 -2 x) (+.f64 1 (/.f64 1 x)))
(-.f64 (*.f64 x -2) (+.f64 1 (/.f64 1 x)))
(-.f64 (fma.f64 x -2 (/.f64 -1 x)) 1)
(+.f64 (/.f64 -1 x) (fma.f64 x -2 -1))
(+.f64 -1 (fma.f64 x -2 (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 x)) (+.f64 1 (/.f64 1 x)))
(-.f64 (*.f64 -2 (+.f64 (*.f64 x x) x)) (+.f64 1 (/.f64 1 x)))
(+.f64 (fma.f64 -2 (fma.f64 x x x) -1) (/.f64 -1 x))
(-.f64 (fma.f64 -2 (fma.f64 x x x) -1) (/.f64 1 x))
(fma.f64 -2 (fma.f64 x x x) (-.f64 -1 (/.f64 1 x)))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 1 (/.f64 1 x)) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 (/.f64 2 x) x) (+.f64 1 (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.f64 1 x))) (/.f64 2 (pow.f64 x 3)))
(+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 2 (pow.f64 x 3)))))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 1 (/.f64 1 x)) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 (/.f64 2 x) x) (+.f64 1 (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.f64 1 x))) (/.f64 2 (pow.f64 x 3)))
(+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 2 (pow.f64 x 3)))))
(/.f64 -1 x)
(-.f64 (*.f64 -2 x) (/.f64 1 x))
(-.f64 (*.f64 x -2) (/.f64 1 x))
(fma.f64 x -2 (/.f64 -1 x))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (*.f64 -2 (+.f64 x (pow.f64 x 3))) (/.f64 1 x))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -1 x))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (/.f64 1 x))
(-.f64 (fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 3)))) (/.f64 1 x))
(fma.f64 x -2 (fma.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 5)) (/.f64 -1 x)))
(fma.f64 -2 (+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 5))) (/.f64 -1 x))
(/.f64 1 x)
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 1 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 5))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 1 x)) (/.f64 2 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 2 (pow.f64 x 3))) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7)))))
(/.f64 1 x)
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 1 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 5))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 1 x)) (/.f64 2 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 2 (pow.f64 x 3))) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7)))))

localize14.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiled 28 to 18 computations (35.7% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite57.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
851×pow1_binary64
797×log1p-expm1-u_binary64
797×expm1-log1p-u_binary64
796×add-log-exp_binary64
781×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
113910
2211810
Stop Event
1×node limit
Counts
1 → 36
Calls
Call 1
Inputs
(-.f64 x (/.f64 x (+.f64 x 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 (neg.f64 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 (neg.f64 x) (+.f64 x 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 x (+.f64 x 1))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 x 1))) x (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 x (+.f64 x 1))) (fma.f64 (/.f64 (neg.f64 x) (+.f64 x 1)) 1 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 x (+.f64 x 1))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (+.f64 x 1)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2) (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 x (+.f64 x 1))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (+.f64 x 1)))) (sqrt.f64 (/.f64 x (+.f64 x 1))) (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 x) (+.f64 x 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (/.f64 x (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (/.f64 x (+.f64 x 1)))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x (+.f64 x 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x (+.f64 x 1)))) 2) (cbrt.f64 (-.f64 x (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (/.f64 x (+.f64 x 1)))) (sqrt.f64 (-.f64 x (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 x (+.f64 x 1)) (+.f64 x (/.f64 x (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (/.f64 1 (+.f64 x (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (+.f64 x 1)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 x (+.f64 x 1)) (+.f64 x (/.f64 x (+.f64 x 1))))) (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (+.f64 x 1)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 x (+.f64 x 1))) (-.f64 (*.f64 x x) (pow.f64 (/.f64 x (+.f64 x 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (fma.f64 x x (*.f64 (/.f64 x (+.f64 x 1)) (+.f64 x (/.f64 x (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (+.f64 x (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (+.f64 x 1)) 3))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 x (+.f64 x 1)) (+.f64 x (/.f64 x (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x (+.f64 x 1)) 2))) (neg.f64 (+.f64 x (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 x) (+.f64 x 1)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (neg.f64 x) (+.f64 x 1)) (/.f64 (neg.f64 x) (+.f64 x 1))) (*.f64 x (/.f64 (neg.f64 x) (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 (neg.f64 x) (+.f64 x 1)) (/.f64 (neg.f64 x) (+.f64 x 1)))) (-.f64 x (/.f64 (neg.f64 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (/.f64 x (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (/.f64 x (+.f64 x 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (/.f64 x (+.f64 x 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (/.f64 x (+.f64 x 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (/.f64 x (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (/.f64 x (+.f64 x 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (neg.f64 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 x) (+.f64 x 1)))))))

simplify57.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
805×fma-neg_binary64
716×cancel-sign-sub-inv_binary64
405×fma-def_binary64
379×sub-neg_binary64
215×unsub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026124
175116
2202116
3638116
42302116
57046116
Stop Event
1×node limit
Counts
48 → 51
Calls
Call 1
Inputs
(pow.f64 x 2)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 4) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 5)) (+.f64 (pow.f64 x 4) (pow.f64 x 2))))
x
(-.f64 x 1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(-.f64 (+.f64 (/.f64 1 x) x) (+.f64 1 (/.f64 1 (pow.f64 x 2))))
x
(-.f64 x 1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(-.f64 (+.f64 (/.f64 1 x) x) (+.f64 1 (/.f64 1 (pow.f64 x 2))))
Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 2))
(fma.f64 -1 (pow.f64 x 3) (*.f64 x x))
(-.f64 (*.f64 x x) (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 4) (pow.f64 x 2)))
(fma.f64 -1 (pow.f64 x 3) (+.f64 (*.f64 x x) (pow.f64 x 4)))
(-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3))
(fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x 4))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 5)) (+.f64 (pow.f64 x 4) (pow.f64 x 2))))
(fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (pow.f64 x 5) (+.f64 (*.f64 x x) (pow.f64 x 4))))
(-.f64 (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 5)) (pow.f64 x 3))
(-.f64 (fma.f64 x x (pow.f64 x 4)) (+.f64 (pow.f64 x 3) (pow.f64 x 5)))
(-.f64 (pow.f64 x 4) (fma.f64 (*.f64 x x) (+.f64 x -1) (pow.f64 x 5)))
x
(-.f64 x 1)
(+.f64 x -1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(+.f64 (/.f64 1 x) (+.f64 x -1))
(+.f64 x (+.f64 (/.f64 1 x) -1))
(+.f64 x (+.f64 -1 (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 1 x) x) (+.f64 1 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 x (/.f64 1 x)) (+.f64 1 (/.f64 1 (*.f64 x x))))
(+.f64 x (+.f64 (/.f64 1 x) (+.f64 -1 (/.f64 -1 (*.f64 x x)))))
(+.f64 x (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (/.f64 1 x))))
(+.f64 (+.f64 x -1) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))))
x
(-.f64 x 1)
(+.f64 x -1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(+.f64 (/.f64 1 x) (+.f64 x -1))
(+.f64 x (+.f64 (/.f64 1 x) -1))
(+.f64 x (+.f64 -1 (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 1 x) x) (+.f64 1 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 x (/.f64 1 x)) (+.f64 1 (/.f64 1 (*.f64 x x))))
(+.f64 x (+.f64 (/.f64 1 x) (+.f64 -1 (/.f64 -1 (*.f64 x x)))))
(+.f64 x (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (/.f64 1 x))))
(+.f64 (+.f64 x -1) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))))

localize3.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

eval108.0ms (3.3%)

Compiler

Compiled 5546 to 3961 computations (28.6% saved)

prune33.0ms (1%)

Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New2473250
Fresh112
Picked011
Done145
Total2499258
Error
0b
Counts
258 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
▶31.1b
(-.f64 -1 x)
31.4b
-1
✓31.0b
(-.f64 -1 (-.f64 x (/.f64 x (+.f64 x 1))))
✓0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
32.4b
1
✓31.1b
(+.f64 -1 (/.f64 x (+.f64 x 1)))
▶0.1b
(*.f64 (/.f64 (/.f64 (+.f64 x (/.f64 1 x)) (+.f64 x -1)) (+.f64 1 x)) x)
✓31.1b
(-.f64 x 1)
✓32.5b
(+.f64 1 (/.f64 2 (*.f64 x x)))
Compiler

Compiled 66 to 49 computations (25.8% saved)

localize24.0ms (0.7%)

Local error

Found 3 expressions with local error:

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

Compiled 55 to 37 computations (32.7% saved)

series3.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite88.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
655×log-prod_binary64
557×prod-diff_binary64
363×fma-def_binary64
293×log-div_binary64
224×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01154
125654
2401144
Stop Event
1×node limit
Counts
3 → 113
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (+.f64 x (/.f64 1 x)) (+.f64 x -1)) (+.f64 1 x)) x)
(/.f64 (+.f64 x (/.f64 1 x)) (+.f64 x -1))
(/.f64 (/.f64 (+.f64 x (/.f64 1 x)) (+.f64 x -1)) (+.f64 1 x))
Outputs
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simplify55.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
954×fma-neg_binary64
561×cancel-sign-sub-inv_binary64
529×distribute-rgt-out_binary64
506×unswap-sqr_binary64
390×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
070500
1213479
2557476
31425476
44360476
Stop Event
1×node limit
Counts
149 → 153
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))))))
(/.f64 -1 x)
(neg.f64 (+.f64 1 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (+.f64 1 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 x)) (+.f64 1 (/.f64 1 x)))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(/.f64 -1 x)
(-.f64 (*.f64 -2 x) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (/.f64 1 x))
(/.f64 1 x)
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(/.f64 1 x)
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
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))))
(fma.f64 -2 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))) -1)
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 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (pow.f64 x 6))))
(+.f64 1 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.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 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (pow.f64 x 6))))
(+.f64 1 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 6)))))
(/.f64 -1 x)
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(-.f64 -1 (/.f64 1 x))
(+.f64 -1 (/.f64 -1 x))
(-.f64 (*.f64 -2 x) (+.f64 1 (/.f64 1 x)))
(fma.f64 -2 x (-.f64 -1 (/.f64 1 x)))
(+.f64 -1 (fma.f64 -2 x (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 x)) (+.f64 1 (/.f64 1 x)))
(-.f64 (*.f64 -2 (+.f64 (*.f64 x x) x)) (+.f64 1 (/.f64 1 x)))
(-.f64 (fma.f64 -2 (fma.f64 x x x) -1) (/.f64 1 x))
(+.f64 (/.f64 -1 x) (fma.f64 -2 (fma.f64 x x x) -1))
(+.f64 -1 (fma.f64 -2 (fma.f64 x x x) (/.f64 -1 x)))
1
(+.f64 1 (/.f64 1 x))
(-.f64 1 (/.f64 -1 x))
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 1 x)))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 1 (/.f64 -1 x)))
(+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 1 x)) (/.f64 2 (pow.f64 x 3))))
(+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 2 (pow.f64 x 3)))))
1
(+.f64 1 (/.f64 1 x))
(-.f64 1 (/.f64 -1 x))
(+.f64 1 (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 1 x)))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 1 (/.f64 -1 x)))
(+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 1 x)) (/.f64 2 (pow.f64 x 3))))
(+.f64 1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 2 (pow.f64 x 3)))))
(/.f64 -1 x)
(-.f64 (*.f64 -2 x) (/.f64 1 x))
(fma.f64 -2 x (/.f64 -1 x))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (*.f64 -2 (+.f64 x (pow.f64 x 3))) (/.f64 1 x))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -1 x))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (/.f64 1 x))
(-.f64 (fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 3)))) (/.f64 1 x))
(fma.f64 -2 x (fma.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 5)) (/.f64 -1 x)))
(fma.f64 -2 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (/.f64 -1 x))
(/.f64 1 x)
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 1 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 5))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 2 (pow.f64 x 5))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))) (+.f64 (/.f64 1 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7)))))
(/.f64 1 x)
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 1 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 5))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 2 (pow.f64 x 5))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))) (+.f64 (/.f64 1 x) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7)))))

localize3.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

eval89.0ms (2.7%)

Compiler

Compiled 2878 to 2051 computations (28.7% saved)

prune48.0ms (1.5%)

Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New1521153
Fresh112
Picked011
Done066
Total1539162
Error
0b
Counts
162 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
✓31.1b
(-.f64 -1 x)
31.4b
-1
✓31.0b
(-.f64 -1 (-.f64 x (/.f64 x (+.f64 x 1))))
✓0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
32.4b
1
✓32.5b
(+.f64 1 (/.f64 2 (*.f64 x x)))
✓31.1b
(+.f64 -1 (/.f64 x (+.f64 x 1)))
✓0.1b
(*.f64 (/.f64 (/.f64 (+.f64 x (/.f64 1 x)) (+.f64 x -1)) (+.f64 1 x)) x)
✓31.1b
(-.f64 x 1)
Compiler

Compiled 66 to 49 computations (25.8% saved)

regimes16.0ms (0.5%)

Counts
15 → 1
Calls
Call 1
Inputs
1
1
-1
1
(-.f64 -1 x)
(-.f64 x 1)
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(+.f64 1 (/.f64 2 (*.f64 x x)))
(-.f64 -1 (-.f64 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)))
(*.f64 (/.f64 (/.f64 (+.f64 x (/.f64 1 x)) (+.f64 x -1)) (+.f64 1 x)) x)
(*.f64 (/.f64 (/.f64 (+.f64 x (+.f64 -1 (/.f64 (+.f64 1 x) x))) (+.f64 x -1)) (+.f64 1 x)) x)
(/.f64 (+.f64 (/.f64 (+.f64 1 x) x) (+.f64 x -1)) (*.f64 (+.f64 x -1) (/.f64 (+.f64 1 x) x)))
(fma.f64 (/.f64 1 (+.f64 1 x)) x (/.f64 1 (+.f64 x -1)))
Outputs
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Calls

2 calls:

9.0ms
x
3.0ms
(+.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 133 to 94 computations (29.3% saved)

regimes20.0ms (0.6%)

Counts
10 → 3
Calls
Call 1
Inputs
1
1
-1
1
(-.f64 -1 x)
(-.f64 x 1)
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(+.f64 1 (/.f64 2 (*.f64 x x)))
(-.f64 -1 (-.f64 x (/.f64 x (+.f64 x 1))))
(+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))
Outputs
(+.f64 1 (/.f64 2 (*.f64 x x)))
(-.f64 -1 (-.f64 x (/.f64 x (+.f64 x 1))))
(+.f64 1 (/.f64 2 (*.f64 x x)))
Calls

1 calls:

18.0ms
x
Results
ErrorSegmentsBranch
0.5b3x
Compiler

Compiled 45 to 32 computations (28.9% saved)

bsearch38.0ms (1.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
19.0ms
0.420269798957526
271.7074693784282
19.0ms
-816.3915911150025
-0.7528729245323921
Compiler

Compiled 16 to 12 computations (25% saved)

regimes19.0ms (0.6%)

Counts
8 → 3
Calls
Call 1
Inputs
1
1
-1
1
(-.f64 -1 x)
(-.f64 x 1)
(+.f64 -1 (/.f64 x (+.f64 x 1)))
(+.f64 1 (/.f64 2 (*.f64 x x)))
Outputs
(+.f64 1 (/.f64 2 (*.f64 x x)))
-1
(+.f64 1 (/.f64 2 (*.f64 x x)))
Calls

1 calls:

18.0ms
x
Results
ErrorSegmentsBranch
0.5b3x
Compiler

Compiled 27 to 20 computations (25.9% saved)

bsearch39.0ms (1.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
0.420269798957526
271.7074693784282
19.0ms
-816.3915911150025
-0.7528729245323921
Compiler

Compiled 16 to 12 computations (25% saved)

regimes17.0ms (0.5%)

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

1 calls:

15.0ms
x
Results
ErrorSegmentsBranch
0.8b3x
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch39.0ms (1.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
19.0ms
0.420269798957526
271.7074693784282
19.0ms
-816.3915911150025
-0.7528729245323921
Compiler

Compiled 16 to 12 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

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

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
32.4b1x
Compiler

Compiled 5 to 4 computations (20% saved)

simplify13.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
18×cancel-sign-sub-inv_binary64
12×distribute-rgt-neg-in_binary64
10×+-commutative_binary64
10×sub-neg_binary64
9×distribute-lft-neg-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026110
137110
248110
363110
483110
5107110
6125110
7138110
8147110
9151110
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
(if (<=.f64 x -897632047249495/1099511627776) (+.f64 1 (/.f64 2 (*.f64 x x))) (if (<=.f64 x 7570907639920749/18014398509481984) (-.f64 -1 (-.f64 x (/.f64 x (+.f64 x 1)))) (+.f64 1 (/.f64 2 (*.f64 x x)))))
(if (<=.f64 x -897632047249495/1099511627776) (+.f64 1 (/.f64 2 (*.f64 x x))) (if (<=.f64 x 7570907639920749/18014398509481984) -1 (+.f64 1 (/.f64 2 (*.f64 x x)))))
(if (<=.f64 x -897632047249495/1099511627776) 1 (if (<=.f64 x 7570907639920749/18014398509481984) -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 -897632047249495/1099511627776) (+.f64 1 (/.f64 2 (*.f64 x x))) (if (<=.f64 x 7570907639920749/18014398509481984) (-.f64 -1 (-.f64 x (/.f64 x (+.f64 x 1)))) (+.f64 1 (/.f64 2 (*.f64 x x)))))
(if (<=.f64 x -897632047249495/1099511627776) (+.f64 1 (/.f64 2 (*.f64 x x))) (if (<=.f64 x 7570907639920749/18014398509481984) (-.f64 -1 (-.f64 x (/.f64 x (+.f64 1 x)))) (+.f64 1 (/.f64 2 (*.f64 x x)))))
(if (<=.f64 x -897632047249495/1099511627776) (+.f64 1 (/.f64 2 (*.f64 x x))) (if (<=.f64 x 7570907639920749/18014398509481984) (+.f64 -1 (-.f64 (/.f64 x (+.f64 1 x)) x)) (+.f64 1 (/.f64 2 (*.f64 x x)))))
(if (<=.f64 x -897632047249495/1099511627776) (+.f64 1 (/.f64 2 (*.f64 x x))) (if (<=.f64 x 7570907639920749/18014398509481984) -1 (+.f64 1 (/.f64 2 (*.f64 x x)))))
(if (<=.f64 x -897632047249495/1099511627776) 1 (if (<=.f64 x 7570907639920749/18014398509481984) -1 1))
1
Compiler

Compiled 82 to 60 computations (26.8% saved)

soundness0.0ms (0%)

end50.0ms (1.5%)

Compiler

Compiled 78 to 55 computations (29.5% saved)

Profiling

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