Details

Time bar (total: 6.6s)

analyze11.0ms (0.2%)

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
50%50%50%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 17 to 14 computations (17.6% saved)

sample1.8s (27.3%)

Results
773.0ms5365×body256valid
525.0ms1400×body1024valid
491.0ms1491×body512valid
0.0ms1×body256infinite
Bogosity

preprocess31.0ms (0.5%)

Algorithm
2×egg-herbie
Rules
127×fma-neg_binary64
82×fma-def_binary64
42×cancel-sign-sub-inv_binary64
39×sub-neg_binary64
28×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01122
12222
23822
36422
412222
523622
639522
751622
862222
964222
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Outputs
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x -1)))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify20.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
127×fma-neg_binary64
82×fma-def_binary64
42×cancel-sign-sub-inv_binary64
39×sub-neg_binary64
28×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01122
12222
23822
36422
412222
523622
639522
751622
862222
964222
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Outputs
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x -1)))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))

eval1.0ms (0%)

Compiler

Compiled 31 to 25 computations (19.4% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
9.2b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶9.2b
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 16 to 13 computations (18.8% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (+.f64 x 1))
✓0.0b
(/.f64 1 (-.f64 x 1))
✓0.0b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
✓1.6b
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 47 to 36 computations (23.4% saved)

series6.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

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

rewrite107.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
690×fma-def_binary64
605×log-prod_binary64
425×fma-neg_binary64
315×log-div_binary64
236×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01149
127249
2440149
Stop Event
1×node limit
Counts
4 → 273
Calls
Call 1
Inputs
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
(/.f64 1 (-.f64 x 1))
(/.f64 1 (+.f64 x 1))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1)))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (cbrt.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (fma.f64 -1 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x -1)) -1) (pow.f64 (sqrt.f64 (+.f64 x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -1)) (fma.f64 x x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (cbrt.f64 (/.f64 1 (+.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 pow.f64 (pow.f64 (+.f64 x -1) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x -1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x -1) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x -1))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.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 (/.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 -1 (/.f64 1 (fma.f64 -1 x -1)))))) (#(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))) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x -1))))) (#(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 (/.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 pow.f64 (pow.f64 (+.f64 1 x) -3) 1/3)))) (#(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 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 exp.f64 (*.f64 (log1p.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) 1))))))

simplify71.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
598×sub-neg_binary64
461×fma-neg_binary64
337×fma-def_binary64
312×times-frac_binary64
296×associate-+l-_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
074756
1233730
2644719
31927716
45413713
Stop Event
1×node limit
Counts
321 → 327
Calls
Call 1
Inputs
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.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 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 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.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 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 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(/.f64 -2 x)
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1 x)) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
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))))
Outputs
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(fma.f64 -2 x (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 (+.f64 x (pow.f64 x 3))) (/.f64 2 x))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 3)))) (/.f64 2 x))
(fma.f64 -2 x (fma.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 5)) (/.f64 -2 x)))
(fma.f64 -2 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (/.f64 -2 x))
(fma.f64 -2 (+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 5))) (/.f64 -2 x))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 9))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3))) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 9))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3))) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9))))
(/.f64 -2 x)
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 1 (/.f64 2 x))
(+.f64 1 (/.f64 -2 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (*.f64 2 (/.f64 1 x)))
(+.f64 1 (-.f64 (neg.f64 x) (/.f64 2 x)))
(+.f64 (-.f64 1 x) (/.f64 -2 x))
(-.f64 1 (-.f64 x (/.f64 -2 x)))
(+.f64 1 (-.f64 (/.f64 -2 x) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(+.f64 1 (-.f64 (fma.f64 -1 x (*.f64 x x)) (/.f64 2 x)))
(+.f64 1 (+.f64 (-.f64 (*.f64 x x) x) (/.f64 -2 x)))
(+.f64 1 (fma.f64 x (+.f64 x -1) (/.f64 -2 x)))
(+.f64 1 (-.f64 (fma.f64 x x (/.f64 -2 x)) x))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(-.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 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x))) (/.f64 -1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 4))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(-.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 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x))) (/.f64 -1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 4))))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(fma.f64 x -1 -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)
(fma.f64 (pow.f64 x 3) -1 (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 (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 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 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 1 (pow.f64 x 4))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.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 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (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 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 1 (pow.f64 x 4))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.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 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
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 1 (-.f64 (*.f64 x x) x))
(fma.f64 x (+.f64 x -1) 1)
(+.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 1 (-.f64 (*.f64 x x) x)) (pow.f64 x 3))
(-.f64 (fma.f64 x (+.f64 x -1) 1) (pow.f64 x 3))
(+.f64 1 (*.f64 x (-.f64 x (fma.f64 x x 1))))
(*.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 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.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 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (+.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 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.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 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 4)))))

eval201.0ms (3.1%)

Compiler

Compiled 7835 to 6299 computations (19.6% saved)

prune93.0ms (1.4%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New31116327
Fresh000
Picked011
Done000
Total31117328
Error
0.4b
Counts
328 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
27.6b
(/.f64 (fma.f64 x (+.f64 1 x) (*.f64 (+.f64 x -1) (-.f64 x (*.f64 (+.f64 1 x) 2)))) (*.f64 (+.f64 x -1) (*.f64 x (+.f64 1 x))))
✓9.2b
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
32.3b
(+.f64 (-.f64 (-.f64 1 x) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
▶31.9b
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) -1)
31.9b
(+.f64 (-.f64 1 (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
31.8b
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
26.8b
(+.f64 (/.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (*.f64 x (+.f64 1 x))) (/.f64 1 (-.f64 x 1)))
34.9b
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 x))
▶27.3b
(+.f64 (*.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (/.f64 1 (*.f64 x (+.f64 1 x)))) (/.f64 1 (-.f64 x 1)))
26.9b
(/.f64 (fma.f64 -1 (*.f64 x (+.f64 1 x)) (*.f64 (fma.f64 -1 x 1) (-.f64 x (*.f64 (+.f64 1 x) 2)))) (*.f64 (fma.f64 -1 x 1) (*.f64 x (+.f64 1 x))))
▶27.6b
(/.f64 (fma.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (+.f64 x -1) (*.f64 (*.f64 x (+.f64 1 x)) 1)) (*.f64 (*.f64 x (+.f64 1 x)) (+.f64 x -1)))
31.8b
(/.f64 2 (pow.f64 x 3))
▶26.2b
(+.f64 (/.f64 1 (/.f64 (*.f64 x (+.f64 1 x)) (-.f64 x (*.f64 (+.f64 1 x) 2)))) (/.f64 1 (-.f64 x 1)))
34.9b
(+.f64 (/.f64 -1 x) (/.f64 1 (-.f64 x 1)))
30.6b
(fma.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))
32.3b
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
▶31.3b
(/.f64 -2 x)
Compiler

Compiled 548 to 421 computations (23.2% saved)

localize69.0ms (1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (/.f64 (*.f64 x (+.f64 1 x)) (-.f64 x (*.f64 (+.f64 1 x) 2))))
✓0.2b
(-.f64 x (*.f64 (+.f64 1 x) 2))
✓1.1b
(+.f64 (/.f64 1 (/.f64 (*.f64 x (+.f64 1 x)) (-.f64 x (*.f64 (+.f64 1 x) 2)))) (/.f64 1 (-.f64 x 1)))
✓17.0b
(/.f64 (*.f64 x (+.f64 1 x)) (-.f64 x (*.f64 (+.f64 1 x) 2)))
Compiler

Compiled 81 to 59 computations (27.2% saved)

series8.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

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

rewrite184.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
786×fma-def_binary64
377×fma-neg_binary64
335×log-div_binary64
277×expm1-udef_binary64
277×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01382
132076
2520762
Stop Event
1×node limit
Counts
4 → 277
Calls
Call 1
Inputs
(/.f64 (*.f64 x (+.f64 1 x)) (-.f64 x (*.f64 (+.f64 1 x) 2)))
(+.f64 (/.f64 1 (/.f64 (*.f64 x (+.f64 1 x)) (-.f64 x (*.f64 (+.f64 1 x) 2)))) (/.f64 1 (-.f64 x 1)))
(-.f64 x (*.f64 (+.f64 1 x) 2))
(/.f64 1 (/.f64 (*.f64 x (+.f64 1 x)) (-.f64 x (*.f64 (+.f64 1 x) 2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x x x) (-.f64 x (fma.f64 x 2 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (+.f64 x 1) (/.f64 1 (-.f64 x (fma.f64 x 2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 x x x) (-.f64 x (fma.f64 x 2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (*.f64 x (/.f64 1 (-.f64 x (fma.f64 x 2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x x) (/.f64 1 (-.f64 x (fma.f64 x 2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x x) (*.f64 (/.f64 1 (-.f64 x (fma.f64 x 2 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) (*.f64 (cbrt.f64 (fma.f64 x x x)) (/.f64 1 (-.f64 x (fma.f64 x 2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x x x) (-.f64 x (fma.f64 x 2 2)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x x) (-.f64 x (fma.f64 x 2 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x x) (-.f64 x (fma.f64 x 2 2)))) 2) (cbrt.f64 (/.f64 (fma.f64 x x x) (-.f64 x (fma.f64 x 2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x x x) (-.f64 x (fma.f64 x 2 2)))) 2) (*.f64 (cbrt.f64 (/.f64 (fma.f64 x x x) (-.f64 x (fma.f64 x 2 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x (sqrt.f64 x)) (*.f64 (hypot.f64 x (sqrt.f64 x)) (/.f64 1 (-.f64 x (fma.f64 x 2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 x x x) (-.f64 x (fma.f64 x 2 2)))) (sqrt.f64 (/.f64 (fma.f64 x x x) (-.f64 x (fma.f64 x 2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 x x x) (-.f64 x (fma.f64 x 2 2)))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x x x) (-.f64 x (fma.f64 x 2 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 x x x)) (/.f64 1 (neg.f64 (-.f64 x (fma.f64 x 2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x x x) (-.f64 x (fma.f64 x 2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 x (fma.f64 x 2 2))) (fma.f64 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (+.f64 x 1) (-.f64 x (fma.f64 x 2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) 1) (/.f64 x (-.f64 x (fma.f64 x 2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 x (fma.f64 x 2 2))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x x x)) (-.f64 x (fma.f64 x 2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 x (sqrt.f64 x)) 1) (/.f64 (hypot.f64 x (sqrt.f64 x)) (-.f64 x (fma.f64 x 2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 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simplify97.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
647×fma-neg_binary64
469×cancel-sign-sub-inv_binary64
405×distribute-lft-out_binary64
387×sub-neg_binary64
331×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
078593
1232570
2602555
31718553
44232553
Stop Event
1×node limit
Counts
325 → 320
Calls
Call 1
Inputs
(*.f64 -1/2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3))))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 3)))))
(*.f64 -1 x)
(+.f64 1 (*.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 4 (/.f64 1 (pow.f64 x 2))))) (*.f64 2 (/.f64 1 x)))
(*.f64 -1 x)
(+.f64 1 (*.f64 -1 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 4 (/.f64 1 (pow.f64 x 2))))) (*.f64 2 (/.f64 1 x)))
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.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 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 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.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 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 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
-2
(-.f64 (*.f64 -1 x) 2)
(-.f64 (*.f64 -1 x) 2)
(-.f64 (*.f64 -1 x) 2)
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) 2)
(-.f64 (*.f64 -1 x) 2)
(-.f64 (*.f64 -1 x) 2)
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) 2)
(-.f64 (*.f64 -1 x) 2)
(-.f64 (*.f64 -1 x) 2)
(/.f64 -2 x)
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1 x)) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
Outputs
(*.f64 -1/2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 -1/4 (pow.f64 x 2)))
(fma.f64 -1/2 x (*.f64 -1/4 (*.f64 x x)))
(fma.f64 -1/2 x (*.f64 x (*.f64 x -1/4)))
(*.f64 x (+.f64 -1/2 (*.f64 x -1/4)))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3))))
(fma.f64 -1/2 x (fma.f64 -1/4 (*.f64 x x) (*.f64 1/8 (pow.f64 x 3))))
(fma.f64 -1/2 x (fma.f64 1/8 (pow.f64 x 3) (*.f64 x (*.f64 x -1/4))))
(fma.f64 1/8 (pow.f64 x 3) (*.f64 x (+.f64 -1/2 (*.f64 x -1/4))))
(*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 -1/4 (*.f64 x 1/8)))))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 4)) (*.f64 1/8 (pow.f64 x 3)))))
(fma.f64 -1/2 x (fma.f64 -1/4 (*.f64 x x) (fma.f64 -1/16 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 3)))))
(fma.f64 -1/2 x (fma.f64 -1/4 (*.f64 x x) (fma.f64 1/8 (pow.f64 x 3) (*.f64 -1/16 (pow.f64 x 4)))))
(fma.f64 -1/2 x (fma.f64 -1/16 (pow.f64 x 4) (*.f64 (*.f64 x x) (+.f64 -1/4 (*.f64 x 1/8)))))
(fma.f64 -1/2 x (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/8 (*.f64 x -1/16))) -1/4)))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 1 (*.f64 -1 x))
(+.f64 (neg.f64 x) 1)
(-.f64 1 x)
(-.f64 (+.f64 1 (*.f64 -1 x)) (*.f64 2 (/.f64 1 x)))
(+.f64 1 (-.f64 (neg.f64 x) (/.f64 2 x)))
(+.f64 (-.f64 1 x) (/.f64 -2 x))
(-.f64 1 (+.f64 x (/.f64 2 x)))
(+.f64 1 (-.f64 (/.f64 -2 x) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 4 (/.f64 1 (pow.f64 x 2))))) (*.f64 2 (/.f64 1 x)))
(+.f64 1 (-.f64 (fma.f64 -1 x (/.f64 4 (*.f64 x x))) (/.f64 2 x)))
(+.f64 (-.f64 1 x) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 -2 x)))
(+.f64 1 (+.f64 (-.f64 (/.f64 4 (*.f64 x x)) x) (/.f64 -2 x)))
(+.f64 (/.f64 4 (*.f64 x x)) (+.f64 1 (-.f64 (/.f64 -2 x) x)))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 1 (*.f64 -1 x))
(+.f64 (neg.f64 x) 1)
(-.f64 1 x)
(-.f64 (+.f64 1 (*.f64 -1 x)) (*.f64 2 (/.f64 1 x)))
(+.f64 1 (-.f64 (neg.f64 x) (/.f64 2 x)))
(+.f64 (-.f64 1 x) (/.f64 -2 x))
(-.f64 1 (+.f64 x (/.f64 2 x)))
(+.f64 1 (-.f64 (/.f64 -2 x) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 4 (/.f64 1 (pow.f64 x 2))))) (*.f64 2 (/.f64 1 x)))
(+.f64 1 (-.f64 (fma.f64 -1 x (/.f64 4 (*.f64 x x))) (/.f64 2 x)))
(+.f64 (-.f64 1 x) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 -2 x)))
(+.f64 1 (+.f64 (-.f64 (/.f64 4 (*.f64 x x)) x) (/.f64 -2 x)))
(+.f64 (/.f64 4 (*.f64 x x)) (+.f64 1 (-.f64 (/.f64 -2 x) x)))
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 x -2) (/.f64 2 x))
(fma.f64 x -2 (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 (+.f64 x (pow.f64 x 3))) (/.f64 2 x))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 3)))) (/.f64 2 x))
(fma.f64 x -2 (fma.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 5)) (/.f64 -2 x)))
(fma.f64 -2 (+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 5))) (/.f64 -2 x))
(fma.f64 -2 (+.f64 (pow.f64 x 5) (+.f64 x (pow.f64 x 3))) (/.f64 -2 x))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 9))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7)))) (/.f64 2 (pow.f64 x 9)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3))) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 9))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7)))) (/.f64 2 (pow.f64 x 9)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3))) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9))))
-2
(-.f64 (*.f64 -1 x) 2)
(fma.f64 -1 x -2)
(fma.f64 x -1 -2)
(-.f64 -2 x)
(-.f64 (*.f64 -1 x) 2)
(fma.f64 -1 x -2)
(fma.f64 x -1 -2)
(-.f64 -2 x)
(-.f64 (*.f64 -1 x) 2)
(fma.f64 -1 x -2)
(fma.f64 x -1 -2)
(-.f64 -2 x)
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) 2)
(fma.f64 -1 x -2)
(fma.f64 x -1 -2)
(-.f64 -2 x)
(-.f64 (*.f64 -1 x) 2)
(fma.f64 -1 x -2)
(fma.f64 x -1 -2)
(-.f64 -2 x)
(-.f64 (*.f64 -1 x) 2)
(fma.f64 -1 x -2)
(fma.f64 x -1 -2)
(-.f64 -2 x)
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) 2)
(fma.f64 -1 x -2)
(fma.f64 x -1 -2)
(-.f64 -2 x)
(-.f64 (*.f64 -1 x) 2)
(fma.f64 -1 x -2)
(fma.f64 x -1 -2)
(-.f64 -2 x)
(-.f64 (*.f64 -1 x) 2)
(fma.f64 -1 x -2)
(fma.f64 x -1 -2)
(-.f64 -2 x)
(/.f64 -2 x)
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 1 (/.f64 2 x))
(+.f64 1 (/.f64 -2 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (*.f64 2 (/.f64 1 x)))
(+.f64 1 (-.f64 (neg.f64 x) (/.f64 2 x)))
(+.f64 (-.f64 1 x) (/.f64 -2 x))
(-.f64 1 (+.f64 x (/.f64 2 x)))
(+.f64 1 (-.f64 (/.f64 -2 x) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(+.f64 1 (-.f64 (fma.f64 -1 x (*.f64 x x)) (/.f64 2 x)))
(+.f64 (+.f64 1 (-.f64 (*.f64 x x) x)) (/.f64 -2 x))
(+.f64 (-.f64 1 x) (fma.f64 x x (/.f64 -2 x)))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x))
(-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.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 3)) (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(-.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 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 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 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x))
(-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.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 3)) (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(-.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 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 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))))

localize5.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize26.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiled 36 to 28 computations (22.2% saved)

localize49.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 1 (*.f64 x (+.f64 1 x)))
0.2b
(-.f64 x (*.f64 (+.f64 1 x) 2))
✓8.7b
(+.f64 (*.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (/.f64 1 (*.f64 x (+.f64 1 x)))) (/.f64 1 (-.f64 x 1)))
✓16.9b
(*.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (/.f64 1 (*.f64 x (+.f64 1 x))))
Compiler

Compiled 75 to 55 computations (26.7% saved)

series5.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite129.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
757×log-prod_binary64
745×fma-def_binary64
335×fma-neg_binary64
266×log-div_binary64
265×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01357
131257
2476847
Stop Event
1×node limit
Counts
3 → 164
Calls
Call 1
Inputs
(*.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (/.f64 1 (*.f64 x (+.f64 1 x))))
(+.f64 (*.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (/.f64 1 (*.f64 x (+.f64 1 x)))) (/.f64 1 (-.f64 x 1)))
(/.f64 1 (*.f64 x (+.f64 1 x)))
Outputs
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simplify60.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
742×fma-neg_binary64
723×fma-def_binary64
573×cancel-sign-sub-inv_binary64
448×sub-neg_binary64
445×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
070603
1215589
2553584
31517583
44306583
Stop Event
1×node limit
Counts
200 → 206
Calls
Call 1
Inputs
(/.f64 -2 x)
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (*.f64 -1 x)) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.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 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 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.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 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 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) x)) 1)
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
Outputs
(/.f64 -2 x)
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 1 (/.f64 2 x))
(+.f64 1 (/.f64 -2 x))
(-.f64 (+.f64 1 (*.f64 -1 x)) (*.f64 2 (/.f64 1 x)))
(+.f64 1 (-.f64 (neg.f64 x) (/.f64 2 x)))
(+.f64 (-.f64 1 x) (/.f64 -2 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(+.f64 1 (-.f64 (fma.f64 -1 x (*.f64 x x)) (/.f64 2 x)))
(+.f64 (-.f64 1 x) (-.f64 (*.f64 x x) (/.f64 2 x)))
(+.f64 (-.f64 1 x) (fma.f64 x x (/.f64 -2 x)))
(-.f64 (fma.f64 x x 1) (+.f64 x (/.f64 2 x)))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(-.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 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(-.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 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))))
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(fma.f64 -2 x (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 (+.f64 x (pow.f64 x 3))) (/.f64 2 x))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 3)))) (/.f64 2 x))
(fma.f64 -2 x (fma.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 5)) (/.f64 -2 x)))
(fma.f64 -2 (+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 5))) (/.f64 -2 x))
(fma.f64 -2 (fma.f64 x (fma.f64 x x 1) (pow.f64 x 5)) (/.f64 -2 x))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 3)))
(+.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 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 9))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7)))) (/.f64 2 (pow.f64 x 9)))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 3)))
(+.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 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 9))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7)))) (/.f64 2 (pow.f64 x 9)))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(+.f64 (/.f64 1 x) (-.f64 x 1))
(+.f64 x (+.f64 (/.f64 1 x) -1))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) x)) 1)
(+.f64 (fma.f64 -1 (*.f64 x x) (+.f64 x (/.f64 1 x))) -1)
(+.f64 -1 (-.f64 (+.f64 x (/.f64 1 x)) (*.f64 x x)))
(-.f64 (+.f64 x (/.f64 1 x)) (fma.f64 x x 1))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 5))) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 5)))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 5))) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 5)))))

localize53.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (fma.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (+.f64 x -1) (*.f64 (*.f64 x (+.f64 1 x)) 1)) (*.f64 (*.f64 x (+.f64 1 x)) (+.f64 x -1)))
✓0.1b
(*.f64 (*.f64 x (+.f64 1 x)) (+.f64 x -1))
0.2b
(-.f64 x (*.f64 (+.f64 1 x) 2))
✓31.7b
(fma.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (+.f64 x -1) (*.f64 (*.f64 x (+.f64 1 x)) 1))
Compiler

Compiled 90 to 64 computations (28.9% saved)

series7.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(*.f64 (*.f64 x (+.f64 1 x)) (+.f64 x -1))
1.0ms
x
@-inf
(fma.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (+.f64 x -1) (*.f64 (*.f64 x (+.f64 1 x)) 1))
1.0ms
x
@inf
(fma.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (+.f64 x -1) (*.f64 (*.f64 x (+.f64 1 x)) 1))
1.0ms
x
@0
(fma.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (+.f64 x -1) (*.f64 (*.f64 x (+.f64 1 x)) 1))
1.0ms
x
@inf
(*.f64 (*.f64 x (+.f64 1 x)) (+.f64 x -1))

rewrite94.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
800×log-prod_binary64
602×fma-def_binary64
265×fma-neg_binary64
261×expm1-udef_binary64
261×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01474
132674
2459056
Stop Event
1×node limit
Counts
3 → 141
Calls
Call 1
Inputs
(fma.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (+.f64 x -1) (*.f64 (*.f64 x (+.f64 1 x)) 1))
(*.f64 (*.f64 x (+.f64 1 x)) (+.f64 x -1))
(/.f64 (fma.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (+.f64 x -1) (*.f64 (*.f64 x (+.f64 1 x)) 1)) (*.f64 (*.f64 x (+.f64 1 x)) (+.f64 x -1)))
Outputs
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(fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x -1) (fma.f64 x x x)) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x -1) (fma.f64 x x x))) (*.f64 x (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x -1) (fma.f64 x x x))) 1) (/.f64 (sqrt.f64 (fma.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x -1) (fma.f64 x x x))) (*.f64 x (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (fma.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x -1) (fma.f64 x x x)) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x -1) (fma.f64 x x x)) 2)) (+.f64 x -1)) (/.f64 (cbrt.f64 (fma.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x -1) (fma.f64 x x x))) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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simplify54.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
772×times-frac_binary64
704×fma-def_binary64
481×associate-/l*_binary64
346×cancel-sign-sub-inv_binary64
313×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
043312
1129297
2329296
3798295
41723295
54252295
Stop Event
1×node limit
Counts
177 → 161
Calls
Call 1
Inputs
2
2
2
2
2
2
2
2
2
2
2
2
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.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 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 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.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 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 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
Outputs
2
2
2
2
2
2
2
2
2
2
2
2
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(fma.f64 -1 x (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(fma.f64 -1 x (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(fma.f64 -1 x (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(pow.f64 x 3)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(fma.f64 -1 x (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(fma.f64 -1 x (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(fma.f64 -1 x (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(pow.f64 x 3)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(fma.f64 -1 x (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(fma.f64 -1 x (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 3))
(fma.f64 -1 x (pow.f64 x 3))
(-.f64 (pow.f64 x 3) x)
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 x -2) (/.f64 2 x))
(fma.f64 x -2 (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 (+.f64 x (pow.f64 x 3))) (/.f64 2 x))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 3)))) (/.f64 2 x))
(fma.f64 x -2 (fma.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 5)) (/.f64 -2 x)))
(fma.f64 -2 (+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 5))) (/.f64 -2 x))
(fma.f64 -2 (fma.f64 x (fma.f64 x x 1) (pow.f64 x 5)) (/.f64 -2 x))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7)))) (/.f64 2 (pow.f64 x 9)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 9)))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7)))) (/.f64 2 (pow.f64 x 9)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 9)))))

eval737.0ms (11.2%)

Compiler

Compiled 28959 to 20130 computations (30.5% saved)

prune262.0ms (4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New105271059
Fresh10111
Picked101
Done415
Total106791076
Error
0.4b
Counts
1076 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
▶31.4b
(+.f64 (/.f64 -2 x) (/.f64 1 (-.f64 x 1)))
▶57.1b
(+.f64 (/.f64 -1 x) -1)
▶0.5b
(/.f64 2 (*.f64 (*.f64 x (+.f64 1 x)) (+.f64 x -1)))
9.9b
(+.f64 (-.f64 1 (/.f64 2 x)) -1)
34.9b
(+.f64 (/.f64 -1 x) (/.f64 1 (-.f64 x 1)))
▶32.3b
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
31.8b
(/.f64 2 (pow.f64 x 3))
▶31.8b
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
✓31.3b
(/.f64 -2 x)
Compiler

Compiled 152 to 123 computations (19.1% saved)

localize34.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 x (+.f64 1 x))
0.1b
(*.f64 (*.f64 x (+.f64 1 x)) (+.f64 x -1))
✓0.4b
(/.f64 2 (*.f64 (*.f64 x (+.f64 1 x)) (+.f64 x -1)))
Compiler

Compiled 36 to 25 computations (30.6% saved)

series4.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite100.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
515×log-prod_binary64
471×prod-diff_binary64
380×pow-prod-down_binary64
352×fma-def_binary64
276×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01023
122723
2314916
Stop Event
1×node limit
Counts
2 → 80
Calls
Call 1
Inputs
(/.f64 2 (*.f64 (*.f64 x (+.f64 1 x)) (+.f64 x -1)))
(*.f64 x (+.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (*.f64 x (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (*.f64 x (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (*.f64 x (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1)))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (fma.f64 x x -1)) 1/2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x (fma.f64 x x -1)) 1/2) -2)) (cbrt.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1)))) (sqrt.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (*.f64 x (neg.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (fma.f64 x x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (fma.f64 x x x)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (fma.f64 x x x)) (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (*.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (fma.f64 x x x)) (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x (fma.f64 x x -1)) 1/2) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x (fma.f64 x x -1)) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 x x -1)) 1/2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 x (fma.f64 x x -1)) 1/2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 x (fma.f64 x x -1)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 x x (-.f64 (pow.f64 (*.f64 x x) 2) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x x) 2)) (-.f64 x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) x) (fma.f64 x (+.f64 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) x) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x x)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x x)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (*.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (*.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 2) (pow.f64 (cbrt.f64 x) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x)))))

simplify84.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
623×cancel-sign-sub-inv_binary64
608×distribute-rgt-neg-in_binary64
568×associate-*l*_binary64
566×fma-neg_binary64
467×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
042289
1129265
2329264
3836263
42101263
56167263
Stop Event
1×node limit
Counts
104 → 98
Calls
Call 1
Inputs
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.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 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 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.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 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 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
x
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
Outputs
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(fma.f64 -2 x (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 (+.f64 x (pow.f64 x 3))) (/.f64 2 x))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 3)))) (/.f64 2 x))
(fma.f64 -2 x (fma.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 5)) (/.f64 -2 x)))
(fma.f64 -2 (+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 5))) (/.f64 -2 x))
(fma.f64 -2 (fma.f64 x (fma.f64 x x 1) (pow.f64 x 5)) (/.f64 -2 x))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 9)))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 9)))))
x
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)

localize11.0ms (0.2%)

Compiler

Compiled 11 to 8 computations (27.3% saved)

localize24.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiled 24 to 18 computations (25% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(+.f64 (/.f64 -2 x) (/.f64 1 (-.f64 x 1)))
1.0ms
x
@inf
(+.f64 (/.f64 -2 x) (/.f64 1 (-.f64 x 1)))
1.0ms
x
@-inf
(+.f64 (/.f64 -2 x) (/.f64 1 (-.f64 x 1)))

rewrite94.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
857×prod-diff_binary64
649×unpow-prod-down_binary64
404×log-prod_binary64
347×fma-def_binary64
240×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
119113
2285213
Stop Event
1×node limit
Counts
1 → 79
Calls
Call 1
Inputs
(+.f64 (/.f64 -2 x) (/.f64 1 (-.f64 x 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 -2 x) 2) (-.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))) (/.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))) 2) (cbrt.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (pow.f64 (+.f64 x -1) -1/2) (sqrt.f64 (/.f64 -2 x))) (hypot.f64 (pow.f64 (+.f64 x -1) -1/2) (sqrt.f64 (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (fma.f64 -2 x 2)) (/.f64 1 (fma.f64 x x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (fma.f64 -2 x 2)) (pow.f64 (/.f64 1 (fma.f64 x x (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 -2 x) 3) (pow.f64 (+.f64 x -1) -3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 -2 x) 2) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 -2 (fma.f64 x x (neg.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 -2 x) 3) (pow.f64 (+.f64 x -1) -3)) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 -2 x) 2) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 -2 (fma.f64 x x (neg.f64 x)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 -2 x) 2) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (-.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 -2 x) 2) (pow.f64 (+.f64 x -1) -2)) (pow.f64 (/.f64 1 (-.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 2) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 2) (hypot.f64 (pow.f64 (+.f64 x -1) -1/2) (sqrt.f64 (/.f64 -2 x)))) 1/3) (cbrt.f64 (hypot.f64 (pow.f64 (+.f64 x -1) -1/2) (sqrt.f64 (/.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))) 2) 3) (cbrt.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (neg.f64 x)) (+.f64 x (fma.f64 -2 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 -2 x) 2) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 -2 (fma.f64 x x (neg.f64 x))))) (+.f64 (pow.f64 (/.f64 -2 x) 3) (pow.f64 (+.f64 x -1) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) (-.f64 (pow.f64 (/.f64 -2 x) 2) (pow.f64 (+.f64 x -1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (fma.f64 -2 x 2)) (fma.f64 x x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 -2 x) 3) (pow.f64 (+.f64 x -1) -3)) (+.f64 (pow.f64 (/.f64 -2 x) 2) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 -2 (fma.f64 x x (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 -2 x) 3) (pow.f64 (+.f64 x -1) -3)) (+.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 (pow.f64 (/.f64 -2 x) 2) (/.f64 -2 (fma.f64 x x (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 -2 x) 2) (pow.f64 (+.f64 x -1) -2)) (-.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 x (fma.f64 -2 x 2))) (neg.f64 (fma.f64 x x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 -2 x) 3) (pow.f64 (+.f64 x -1) -3))) (neg.f64 (+.f64 (pow.f64 (/.f64 -2 x) 2) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 -2 (fma.f64 x x (neg.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 -2 x) 2) (pow.f64 (+.f64 x -1) -2))) (neg.f64 (-.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 x -1) (*.f64 (*.f64 x -1/2) 1)) (*.f64 (*.f64 x -1/2) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 2 (+.f64 x -1) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -2 (fma.f64 -1 x 1) (*.f64 x -1)) (*.f64 x (fma.f64 -1 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (fma.f64 -1 x 1) (*.f64 (*.f64 x -1/2) -1)) (*.f64 (*.f64 x -1/2) (fma.f64 -1 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 2 (fma.f64 -1 x 1) (*.f64 (neg.f64 x) -1)) (*.f64 (neg.f64 x) (fma.f64 -1 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 x (*.f64 (fma.f64 -1 x 1) -2)) (*.f64 (fma.f64 -1 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x -1/2 (+.f64 x -1)) (*.f64 (+.f64 x -1) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 (*.f64 x -1/2) (*.f64 (fma.f64 -1 x 1) 1)) (*.f64 (fma.f64 -1 x 1) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 x (*.f64 (+.f64 x -1) 2)) (*.f64 (+.f64 x -1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 (neg.f64 x) (*.f64 (fma.f64 -1 x 1) 2)) (*.f64 (fma.f64 -1 x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (/.f64 -2 x) 2)) (-.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x (fma.f64 -2 x 2)) x) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (pow.f64 (+.f64 x -1) -1/2) (sqrt.f64 (/.f64 -2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x (neg.f64 x)) (+.f64 x (fma.f64 -2 x 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 -2 x) 2) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 -2 (fma.f64 x x (neg.f64 x))))) (+.f64 (pow.f64 (/.f64 -2 x) 3) (pow.f64 (+.f64 x -1) -3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) (-.f64 (pow.f64 (/.f64 -2 x) 2) (pow.f64 (+.f64 x -1) -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -2 x))) (exp.f64 (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 -2 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 -2 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 1 (+.f64 x -1)))) (exp.f64 (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 1 (+.f64 x -1))) (+.f64 1 (expm1.f64 (/.f64 -2 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 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (/.f64 1 x) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2 x) 1 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 x -1)) 1 (/.f64 -2 x))))) (#(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 -2 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 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -2 x)) (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (cbrt.f64 (/.f64 -2 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 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2 x)) (sqrt.f64 (/.f64 -2 x)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (fma.f64 -1 x 1)) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1 (neg.f64 x)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) -2 (/.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 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x 1) (/.f64 -2 x))))))

simplify71.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
510×fma-def_binary64
488×fma-neg_binary64
436×associate-*l*_binary64
326×associate-*r*_binary64
309×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030184
181177
2198175
3553175
41819175
55485175
Stop Event
1×node limit
Counts
91 → 93
Calls
Call 1
Inputs
(/.f64 -2 x)
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (*.f64 -1 x) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x))
Outputs
(/.f64 -2 x)
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(-.f64 (*.f64 -1 x) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (neg.f64 x) (+.f64 1 (/.f64 2 x)))
(+.f64 (fma.f64 x -1 -1) (/.f64 -2 x))
(-.f64 (+.f64 -1 (/.f64 -2 x)) x)
(+.f64 -1 (-.f64 (/.f64 -2 x) x))
(-.f64 (/.f64 -2 x) (+.f64 x 1))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (*.f64 -1 (+.f64 (*.f64 x x) x)) (+.f64 1 (/.f64 2 x)))
(+.f64 (fma.f64 -1 (fma.f64 x x x) -1) (/.f64 -2 x))
(-.f64 (+.f64 -1 (/.f64 -2 x)) (fma.f64 x x x))
(+.f64 -1 (-.f64 (/.f64 -2 x) (fma.f64 x x 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 (*.f64 x x)) (/.f64 -1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 x)) (/.f64 -1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.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 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))) (/.f64 -1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 x))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 4))))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 x)) (/.f64 -1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.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 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))) (/.f64 -1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 x))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 4))))

localize23.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 25 to 19 computations (24% saved)

series4.0ms (0.1%)

Counts
1 → 3
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
1.0ms
x
@0
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
1.0ms
x
@-inf
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))

rewrite93.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
945×pow1_binary64
881×add-log-exp_binary64
879×log1p-expm1-u_binary64
879×expm1-log1p-u_binary64
98×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0910
12048
225248
Stop Event
1×node limit
Counts
1 → 50
Calls
Call 1
Inputs
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2 x) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2 x) (*.f64 (/.f64 -2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2 x) (+.f64 (/.f64 -2 x) (+.f64 (/.f64 -2 x) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -2 x (/.f64 -2 x)) (+.f64 (/.f64 -2 x) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -2 x (/.f64 -2 x)) (fma.f64 (/.f64 -2 x) 1 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -2 x (/.f64 -2 x)) (fma.f64 -2 (/.f64 1 x) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -2 x (/.f64 -2 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 2 x))) (cbrt.f64 (*.f64 4 (pow.f64 x -2))) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -2 x (/.f64 -2 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 2 x))) (sqrt.f64 (/.f64 2 x)) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -2 x (/.f64 -2 x)) (*.f64 (+.f64 (/.f64 -2 x) (/.f64 2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -2 x (/.f64 -2 x)) (+.f64 (+.f64 (/.f64 -2 x) (/.f64 2 x)) (+.f64 (/.f64 -2 x) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -2 x) (/.f64 2 x)) (fma.f64 -2 x (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2 x) (*.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (+.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -2 x (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -2 x (/.f64 -2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -2 x (/.f64 -2 x))) (cbrt.f64 (pow.f64 (fma.f64 -2 x (/.f64 -2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 -2 x (/.f64 -2 x)) 2)) (cbrt.f64 (fma.f64 -2 x (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -2 x (/.f64 -2 x))) (sqrt.f64 (fma.f64 -2 x (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 -2 x) 2) (*.f64 (/.f64 2 x) (fma.f64 -2 x (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 -2 x) 2) (*.f64 4 (pow.f64 x -2))) (/.f64 1 (fma.f64 -2 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 -2 x)) (sqrt.f64 (/.f64 2 x))) (-.f64 (sqrt.f64 (*.f64 -2 x)) (sqrt.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 -2 x) 2) (*.f64 (/.f64 2 x) (fma.f64 -2 x (/.f64 2 x)))) (-.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 -2 x (/.f64 2 x)) (-.f64 (pow.f64 (*.f64 -2 x) 2) (*.f64 4 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (+.f64 (pow.f64 (*.f64 -2 x) 2) (*.f64 (/.f64 2 x) (fma.f64 -2 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 -2 x) 2) (*.f64 4 (pow.f64 x -2))) (fma.f64 -2 x (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (*.f64 -2 x) 2) (*.f64 (/.f64 2 x) (fma.f64 -2 x (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 -2 x) 2) (*.f64 4 (pow.f64 x -2)))) (neg.f64 (fma.f64 -2 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -8 (pow.f64 x 3)) (pow.f64 (/.f64 -2 x) 3)) (+.f64 (pow.f64 (*.f64 -2 x) 2) (-.f64 (*.f64 (/.f64 -2 x) (/.f64 -2 x)) (*.f64 (*.f64 -2 x) (/.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -2 x (/.f64 -2 x)) 3) (pow.f64 (+.f64 (/.f64 -2 x) (/.f64 2 x)) 3)) (+.f64 (pow.f64 (fma.f64 -2 x (/.f64 -2 x)) 2) (-.f64 (*.f64 (+.f64 (/.f64 -2 x) (/.f64 2 x)) (+.f64 (/.f64 -2 x) (/.f64 2 x))) (*.f64 (fma.f64 -2 x (/.f64 -2 x)) (+.f64 (/.f64 -2 x) (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 -2 x) 2) (*.f64 (/.f64 -2 x) (/.f64 -2 x))) (-.f64 (*.f64 -2 x) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 -2 x (/.f64 -2 x)) 2) (*.f64 (+.f64 (/.f64 -2 x) (/.f64 2 x)) (+.f64 (/.f64 -2 x) (/.f64 2 x)))) (-.f64 (fma.f64 -2 x (/.f64 -2 x)) (+.f64 (/.f64 -2 x) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -2 x (/.f64 -2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -2 x (/.f64 -2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -2 x (/.f64 -2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -2 x (/.f64 -2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -2 x (/.f64 -2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -2 x (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -2 x (/.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -2 x (/.f64 -2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -2 x (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -2 x (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -2 x (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 x (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -2 (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -2 x) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -2 x (/.f64 -2 x)) (+.f64 (/.f64 -2 x) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -2 x (/.f64 -2 x)) 2)) (cbrt.f64 (fma.f64 -2 x (/.f64 -2 x))) (+.f64 (/.f64 -2 x) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -2 x)) 2) (cbrt.f64 (*.f64 -2 x)) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -2 x (/.f64 -2 x))) (sqrt.f64 (fma.f64 -2 x (/.f64 -2 x))) (+.f64 (/.f64 -2 x) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -2 x)) (sqrt.f64 (*.f64 -2 x)) (/.f64 -2 x))))))

simplify15.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0512
1612
Stop Event
1×saturated
Counts
53 → 52
Calls
Call 1
Inputs
(/.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
Outputs
(/.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)

localize63.0ms (1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 x 3)
✓0.2b
(/.f64 2 (pow.f64 x 5))
✓0.5b
(/.f64 2 (pow.f64 x 3))
Compiler

Compiled 32 to 25 computations (21.9% saved)

series9.0ms (0.1%)

Counts
3 → 0
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/.f64 2 (pow.f64 x 3))
2.0ms
x
@-inf
(pow.f64 x 3)
1.0ms
x
@0
(/.f64 2 (pow.f64 x 5))
1.0ms
x
@-inf
(/.f64 2 (pow.f64 x 3))
1.0ms
x
@inf
(pow.f64 x 3)

rewrite99.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
862×pow1_binary64
814×add-log-exp_binary64
813×log1p-expm1-u_binary64
813×expm1-log1p-u_binary64
796×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0918
120618
2229518
Stop Event
1×node limit
Counts
3 → 59
Calls
Call 1
Inputs
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 5))
(pow.f64 x 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 2 (pow.f64 x -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) x) (pow.f64 (/.f64 (cbrt.f64 2) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (cbrt.f64 2) x) 2) (/.f64 (cbrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) (pow.f64 x 3/2)) (/.f64 (sqrt.f64 2) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (pow.f64 x -3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 2) x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (pow.f64 x -3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (pow.f64 x -3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 2 (pow.f64 x -5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (pow.f64 x -5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 x -5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -5))) (cbrt.f64 (/.f64 4 (pow.f64 x 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 10))) (cbrt.f64 (*.f64 2 (pow.f64 x -5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) (pow.f64 x 5/2)) (/.f64 (sqrt.f64 2) (pow.f64 x 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (neg.f64 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -5) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (pow.f64 x -5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (pow.f64 x -5)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (pow.f64 x 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 5) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 x 10)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (pow.f64 x -5)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 x -5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 x -5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (pow.f64 x -5))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3/2) (pow.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 3) (pow.f64 (sqrt.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 x)))))))

simplify14.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
59 → 59
Calls
Call 1
Inputs
Outputs

eval233.0ms (3.5%)

Compiler

Compiled 6299 to 4318 computations (31.4% saved)

prune113.0ms (1.7%)

Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New40210412
Fresh213
Picked101
Done235
Total40714421
Error
0b
Counts
421 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
11.0b
(/.f64 2 (+.f64 (-.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) (+.f64 x -1))))
▶0.1b
(*.f64 (/.f64 2 (fma.f64 x x x)) (/.f64 1 (+.f64 x -1)))
▶32.5b
(-.f64 (/.f64 -2 x) (+.f64 x 1))
32.3b
(+.f64 (/.f64 -2 x) (*.f64 -2 x))
✓0.5b
(/.f64 2 (*.f64 (*.f64 x (+.f64 1 x)) (+.f64 x -1)))
▶9.9b
(+.f64 (-.f64 1 (/.f64 2 x)) -1)
▶31.7b
(/.f64 2 (*.f64 (*.f64 x x) (+.f64 x -1)))
14.0b
(/.f64 2 (*.f64 x (+.f64 x -1)))
▶56.4b
(/.f64 -1 x)
32.1b
(+.f64 (/.f64 -2 x) -1)
31.3b
(+.f64 (/.f64 2 (pow.f64 x 5)) (*.f64 (pow.f64 x -3) 2))
31.8b
(/.f64 2 (pow.f64 x 3))
✓31.4b
(+.f64 (/.f64 -2 x) (/.f64 1 (-.f64 x 1)))
✓31.3b
(/.f64 -2 x)
Compiler

Compiled 224 to 166 computations (25.9% saved)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 35 to 20 computations (42.9% saved)

series4.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite78.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
473×log-prod_binary64
365×exp-prod_binary64
304×pow-prod-down_binary64
262×pow2_binary64
209×prod-diff_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01029
121929
2283229
Stop Event
1×node limit
Counts
3 → 146
Calls
Call 1
Inputs
(/.f64 2 (fma.f64 x x x))
(*.f64 (/.f64 2 (fma.f64 x x x)) (/.f64 1 (+.f64 x -1)))
(/.f64 1 (+.f64 x -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 2 (fma.f64 x x x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (fma.f64 x x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (fma.f64 x x x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (fma.f64 x x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2 (fma.f64 x x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1 (fma.f64 x x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (fma.f64 x x x))) (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x x x))) 2) (cbrt.f64 (/.f64 2 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x x x))) 2) (*.f64 (cbrt.f64 (/.f64 2 (fma.f64 x x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 (fma.f64 x x x))) (sqrt.f64 (/.f64 2 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 (fma.f64 x x x))) (*.f64 (sqrt.f64 (/.f64 2 (fma.f64 x x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (neg.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 2 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (pow.f64 (fma.f64 x x x) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (fma.f64 x x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2 (fma.f64 x x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x x x) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (fma.f64 x x x) 1/2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (fma.f64 x x x)))) 2)) (cbrt.f64 (log.f64 (/.f64 2 (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 2 (fma.f64 x x x))))) (sqrt.f64 (log.f64 (/.f64 2 (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 (fma.f64 x x x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (fma.f64 x x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 x x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 2 (fma.f64 x x x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 2 (fma.f64 x x x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 2 (fma.f64 x x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x x x) 1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 x x x))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (*.f64 (fma.f64 x x x) (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 2 (*.f64 (fma.f64 x x x) (-.f64 x 1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (*.f64 (fma.f64 x x x) (-.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (*.f64 (fma.f64 x x x) (-.f64 x 1)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (*.f64 (fma.f64 x x x) (-.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2 (*.f64 (fma.f64 x x x) (-.f64 x 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (fma.f64 x x x) (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (neg.f64 (fma.f64 x x x)) (neg.f64 (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (neg.f64 (-.f64 x 1)) (neg.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (-.f64 x 1) (/.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (fma.f64 x x x) (/.f64 1 (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (fma.f64 x x x)) (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 (fma.f64 x x x) 1/2) (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (-.f64 x 1) (*.f64 (fma.f64 x x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (fma.f64 x x x) (-.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x 1) (/.f64 2 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x x) (/.f64 2 (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (*.f64 (fma.f64 x x x) 1/2) (neg.f64 (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 (-.f64 x 1)) (*.f64 (fma.f64 x x x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (-.f64 x 1)) (*.f64 (fma.f64 x x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x x x))) 2) (/.f64 (-.f64 x 1) (cbrt.f64 (/.f64 2 (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 2 (fma.f64 x x x))) (/.f64 (-.f64 x 1) (sqrt.f64 (/.f64 2 (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (neg.f64 (*.f64 (fma.f64 x x x) (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 (neg.f64 (fma.f64 x x x)) (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 (fma.f64 x x x) (neg.f64 (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 (neg.f64 (-.f64 x 1)) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 (-.f64 x 1) (neg.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (-.f64 x 1)) (fma.f64 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 2 (fma.f64 x x x))) (neg.f64 (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 2 (-.f64 x 1))) (neg.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (fma.f64 x x x)) (sqrt.f64 (-.f64 x 1))) (sqrt.f64 (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (fma.f64 x x x)) 1) (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (fma.f64 x x x)) (pow.f64 (cbrt.f64 (-.f64 x 1)) 2)) (cbrt.f64 (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (-.f64 x 1)) 1) (fma.f64 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (-.f64 x 1)) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2)) (cbrt.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (-.f64 x 1)) (hypot.f64 x (sqrt.f64 x))) (hypot.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (/.f64 1 (-.f64 x 1))) (neg.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 2 (fma.f64 x x x))) (neg.f64 (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 2 (fma.f64 x x x)) -1) (neg.f64 (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (-.f64 x 1)) -2) (neg.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (*.f64 (fma.f64 x x x) (-.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 2 (*.f64 (fma.f64 x x x) (-.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (*.f64 (fma.f64 x x x) (-.f64 x 1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (*.f64 (fma.f64 x x x) (-.f64 x 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (*.f64 (fma.f64 x x x) (-.f64 x 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2 (*.f64 (fma.f64 x x x) (-.f64 x 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 2 (fma.f64 x x x)) 3) (pow.f64 (-.f64 x 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (fma.f64 x x x) 1/2) (-.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 x 1) (*.f64 (fma.f64 x x x) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (fma.f64 x x x) (-.f64 x 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x 1) (/.f64 2 (fma.f64 x x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x x) (/.f64 2 (-.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (fma.f64 x x x) (-.f64 x 1))))) 2)) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (fma.f64 x x x) (-.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (fma.f64 x x x) (-.f64 x 1)))))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (fma.f64 x x x) (-.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 2 (*.f64 (fma.f64 x x x) (-.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (*.f64 (fma.f64 x x x) (-.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (*.f64 (fma.f64 x x x) (-.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (*.f64 (fma.f64 x x x) (-.f64 x 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 2 (fma.f64 x x x)) 3) (pow.f64 (-.f64 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (*.f64 (fma.f64 x x x) (-.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (*.f64 (fma.f64 x x x) (-.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 (*.f64 (fma.f64 x x x) (-.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 (fma.f64 x x x) (-.f64 x 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 2 (*.f64 (fma.f64 x x x) (-.f64 x 1))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 2 (*.f64 (fma.f64 x x x) (-.f64 x 1))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 2 (*.f64 (fma.f64 x x x) (-.f64 x 1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 (fma.f64 x x x) (-.f64 x 1)))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 x 1))))))))) (#(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 (neg.f64 (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 x 1))) (cbrt.f64 (pow.f64 (-.f64 x 1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 x 1) -2)) (/.f64 1 (cbrt.f64 (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 x 1) -1/2) (pow.f64 (-.f64 x 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x 1)) -2) (/.f64 1 (cbrt.f64 (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (*.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (neg.f64 (log.f64 (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (log.f64 (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x 1) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x 1) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x 1) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x 1) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x 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 (sqrt.f64 (-.f64 x 1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x 1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (-.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 x 1)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (-.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (-.f64 x 1))))) (sqrt.f64 (neg.f64 (log.f64 (-.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x 1) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 x 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 x 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x 1) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (-.f64 x 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (-.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 x 1)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 x 1)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (-.f64 x 1))) 1) 1))))))

simplify66.0ms (1%)

Algorithm
1×egg-herbie
Rules
440×fma-neg_binary64
363×sub-neg_binary64
331×fma-def_binary64
270×distribute-rgt-neg-in_binary64
262×distribute-lft-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
073600
1227586
2634581
31796577
45031577
Stop Event
1×node limit
Counts
182 → 189
Calls
Call 1
Inputs
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) 2)
(-.f64 (+.f64 (*.f64 2 x) (*.f64 2 (/.f64 1 x))) 2)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) (*.f64 2 (/.f64 1 x)))) 2)
(/.f64 2 (pow.f64 x 2))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(/.f64 2 (pow.f64 x 2))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.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 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 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.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 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 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
-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
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) 2)
(+.f64 (/.f64 2 x) -2)
(-.f64 (+.f64 (*.f64 2 x) (*.f64 2 (/.f64 1 x))) 2)
(+.f64 (fma.f64 2 x (/.f64 2 x)) -2)
(fma.f64 2 (+.f64 x (/.f64 1 x)) -2)
(+.f64 (/.f64 2 x) (fma.f64 2 x -2))
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) (*.f64 2 (/.f64 1 x)))) 2)
(+.f64 (fma.f64 -2 (*.f64 x x) (fma.f64 2 x (/.f64 2 x))) -2)
(fma.f64 -2 (*.f64 x x) (fma.f64 2 (+.f64 x (/.f64 1 x)) -2))
(+.f64 (fma.f64 2 x -2) (fma.f64 x (*.f64 x -2) (/.f64 2 x)))
(+.f64 (/.f64 2 x) (fma.f64 x (+.f64 2 (*.f64 x -2)) -2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (-.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 -2 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 -2 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 5))))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 5)))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (-.f64 (/.f64 -2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 2 (pow.f64 x 4)) (-.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 -2 (pow.f64 x 3)))))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (-.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 3))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 -2 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 -2 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 5))))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 5)))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (-.f64 (/.f64 -2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 2 (pow.f64 x 4)) (-.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 -2 (pow.f64 x 3)))))
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 x -2) (/.f64 2 x))
(fma.f64 x -2 (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 (+.f64 x (pow.f64 x 3))) (/.f64 2 x))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 3)))) (/.f64 2 x))
(fma.f64 x -2 (fma.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 5)) (/.f64 -2 x)))
(fma.f64 -2 (+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 5))) (/.f64 -2 x))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 5)))
(-.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 9))))
(+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 5)))
(-.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 -2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 9))))
(+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(fma.f64 x -1 -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)
(+.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 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (/.f64 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 (/.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 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x 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 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (/.f64 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 (/.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 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))

localize3.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓1.5b
(+.f64 (-.f64 1 (/.f64 2 x)) -1)
Compiler

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite59.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
896×pow1_binary64
840×add-log-exp_binary64
837×log1p-expm1-u_binary64
837×expm1-log1p-u_binary64
827×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0810
11784
222924
Stop Event
1×node limit
Counts
1 → 46
Calls
Call 1
Inputs
(+.f64 (-.f64 1 (/.f64 2 x)) -1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 -2 x)) 2) (+.f64 1 (-.f64 (/.f64 -2 x) -1))) (/.f64 1 (+.f64 1 (-.f64 (/.f64 -2 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -2 x)) (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (cbrt.f64 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (neg.f64 (cbrt.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -2 x)) (sqrt.f64 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2 x)) (neg.f64 (sqrt.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 -2 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2 x)) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 -2 x)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2 x)) 2) -1) (/.f64 1 (+.f64 1 (-.f64 (/.f64 -2 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 -2 x))) 1) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 -2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)) (cbrt.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 2 x))) (sqrt.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2 x)) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 -2 x)) -1))) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 -2 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (/.f64 -2 x) -1)) (+.f64 (pow.f64 (+.f64 1 (/.f64 -2 x)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 -2 x)) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 -2 x)) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 -2 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 -2 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 1 (/.f64 -2 x)) 2) (*.f64 (+.f64 1 (/.f64 -2 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2 x)) 2) -1) (+.f64 1 (-.f64 (/.f64 -2 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 -2 x)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2 x)) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 -2 x)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2 x)) 2) -1)) (neg.f64 (+.f64 1 (-.f64 (/.f64 -2 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 1 (/.f64 2 x)) 3)) (+.f64 1 (+.f64 (*.f64 (+.f64 1 (/.f64 2 x)) (+.f64 1 (/.f64 2 x))) (+.f64 1 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 1 (/.f64 2 x)) (+.f64 1 (/.f64 2 x)))) (+.f64 1 (+.f64 1 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 1 (/.f64 -2 x)) 2)) (-.f64 -1 (+.f64 1 (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -2 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -2 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -2 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 -2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -2 x))) 2) (cbrt.f64 (+.f64 1 (/.f64 -2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 -2 x))) (sqrt.f64 (+.f64 1 (/.f64 -2 x))) -1)))))

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0448
Stop Event
1×saturated
Counts
58 → 46
Calls
Call 1
Inputs
(/.f64 -2 x)
(/.f64 -2 x)
(/.f64 -2 x)
(/.f64 -2 x)
(/.f64 -2 x)
(/.f64 -2 x)
(/.f64 -2 x)
(/.f64 -2 x)
(/.f64 -2 x)
(/.f64 -2 x)
(/.f64 -2 x)
(/.f64 -2 x)
Outputs
(/.f64 -2 x)
(/.f64 -2 x)
(/.f64 -2 x)
(/.f64 -2 x)
(/.f64 -2 x)
(/.f64 -2 x)
(/.f64 -2 x)
(/.f64 -2 x)
(/.f64 -2 x)
(/.f64 -2 x)
(/.f64 -2 x)
(/.f64 -2 x)

localize8.0ms (0.1%)

Compiler

Compiled 17 to 12 computations (29.4% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (*.f64 x x) (+.f64 x -1))
✓0.5b
(/.f64 2 (*.f64 (*.f64 x x) (+.f64 x -1)))
Compiler

Compiled 26 to 14 computations (46.2% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite100.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
928×pow1_binary64
867×add-log-exp_binary64
867×log1p-expm1-u_binary64
867×expm1-log1p-u_binary64
850×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0823
118123
2242523
Stop Event
1×node limit
Counts
2 → 47
Calls
Call 1
Inputs
(/.f64 2 (*.f64 (*.f64 x x) (+.f64 x -1)))
(*.f64 (*.f64 x x) (+.f64 x -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 2 (*.f64 (*.f64 x x) (+.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (*.f64 x x) (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (*.f64 (*.f64 x x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (*.f64 (*.f64 x x) (+.f64 x -1)))) (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 (*.f64 x x) (+.f64 x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 (*.f64 x x) (+.f64 x -1)))) 2) (cbrt.f64 (/.f64 2 (*.f64 (*.f64 x x) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 (+.f64 x -1)))) (/.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (*.f64 (+.f64 x -1) (neg.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (*.f64 x x) (+.f64 x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 x x)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (*.f64 x x)) (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 (*.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (*.f64 x x)) (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (*.f64 (*.f64 x x) (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (*.f64 (*.f64 x x) (+.f64 x -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (*.f64 (*.f64 x x) (+.f64 x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 (+.f64 x -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 x -1)) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (*.f64 (pow.f64 (+.f64 x -1) 2) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (*.f64 (*.f64 x x) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (*.f64 (*.f64 x x) (+.f64 x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (*.f64 (*.f64 x x) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (*.f64 (*.f64 x x) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 x x) (+.f64 x -1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x 3) (neg.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 x x)) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) 1) (*.f64 (neg.f64 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (neg.f64 (*.f64 x x)) 3)) (+.f64 (pow.f64 (*.f64 x x) 3) (-.f64 (*.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 x x))) (*.f64 (pow.f64 x 3) (neg.f64 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (*.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 x x)))) (-.f64 (pow.f64 x 3) (neg.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (*.f64 x x)) (fma.f64 x x (-.f64 1 (*.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) (*.f64 x x)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 (*.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) (+.f64 x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (+.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (+.f64 x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (+.f64 x -1) 2) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 x -1)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (+.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (+.f64 x -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x x) (neg.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) x (neg.f64 (*.f64 x x)))))))

simplify81.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
670×fma-neg_binary64
492×unswap-sqr_binary64
373×fma-def_binary64
347×distribute-rgt-out_binary64
343×associate-/r/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
041339
1115324
2322324
3897324
43589306
57922306
Stop Event
1×node limit
Counts
71 → 67
Calls
Call 1
Inputs
(/.f64 -2 (pow.f64 x 2))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))))
(-.f64 (*.f64 -2 x) (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.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 4))) (*.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 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.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 4))) (*.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 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3))
Outputs
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x)))
(+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 x))
(-.f64 (/.f64 -2 x) (/.f64 2 (*.f64 x x)))
(neg.f64 (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))))
(+.f64 -2 (neg.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x))))
(+.f64 -2 (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 x)))
(+.f64 -2 (-.f64 (/.f64 -2 x) (/.f64 2 (*.f64 x x))))
(-.f64 (*.f64 -2 x) (+.f64 2 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))))
(-.f64 (*.f64 -2 x) (+.f64 2 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x))))
(+.f64 (fma.f64 -2 x -2) (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 x)))
(+.f64 (-.f64 (/.f64 -2 x) (/.f64 2 (*.f64 x x))) (fma.f64 -2 x -2))
(+.f64 (+.f64 -2 (/.f64 -2 (*.f64 x x))) (fma.f64 -2 x (/.f64 -2 x)))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 3))) (/.f64 2 (pow.f64 x 5)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 5))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.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 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 3))) (/.f64 2 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 3))) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 6))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 6)))))
(*.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))) (-.f64 2 (/.f64 -2 x)))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 3))) (/.f64 2 (pow.f64 x 5)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 5))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.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 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 3))) (/.f64 2 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 3))) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 6))))
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 6)))))
(*.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))) (-.f64 2 (/.f64 -2 x)))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3))
(fma.f64 -1 (*.f64 x x) (pow.f64 x 3))
(*.f64 (*.f64 x x) (+.f64 x -1))
(-.f64 (pow.f64 x 3) (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3))
(fma.f64 -1 (*.f64 x x) (pow.f64 x 3))
(*.f64 (*.f64 x x) (+.f64 x -1))
(-.f64 (pow.f64 x 3) (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3))
(fma.f64 -1 (*.f64 x x) (pow.f64 x 3))
(*.f64 (*.f64 x x) (+.f64 x -1))
(-.f64 (pow.f64 x 3) (*.f64 x x))
(pow.f64 x 3)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3))
(fma.f64 -1 (*.f64 x x) (pow.f64 x 3))
(*.f64 (*.f64 x x) (+.f64 x -1))
(-.f64 (pow.f64 x 3) (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3))
(fma.f64 -1 (*.f64 x x) (pow.f64 x 3))
(*.f64 (*.f64 x x) (+.f64 x -1))
(-.f64 (pow.f64 x 3) (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3))
(fma.f64 -1 (*.f64 x x) (pow.f64 x 3))
(*.f64 (*.f64 x x) (+.f64 x -1))
(-.f64 (pow.f64 x 3) (*.f64 x x))
(pow.f64 x 3)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3))
(fma.f64 -1 (*.f64 x x) (pow.f64 x 3))
(*.f64 (*.f64 x x) (+.f64 x -1))
(-.f64 (pow.f64 x 3) (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3))
(fma.f64 -1 (*.f64 x x) (pow.f64 x 3))
(*.f64 (*.f64 x x) (+.f64 x -1))
(-.f64 (pow.f64 x 3) (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3))
(fma.f64 -1 (*.f64 x x) (pow.f64 x 3))
(*.f64 (*.f64 x x) (+.f64 x -1))
(-.f64 (pow.f64 x 3) (*.f64 x x))

eval144.0ms (2.2%)

Compiler

Compiled 4437 to 3050 computations (31.3% saved)

prune49.0ms (0.7%)

Pruning

17 alts after pruning (10 fresh and 7 done)

PrunedKeptTotal
New2975302
Fresh156
Picked011
Done167
Total29917316
Error
0b
Counts
316 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
11.0b
(/.f64 2 (+.f64 (-.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) (+.f64 x -1))))
31.8b
(/.f64 2 (pow.f64 x 3))
✓32.5b
(-.f64 (/.f64 -2 x) (+.f64 x 1))
32.3b
(+.f64 (/.f64 -2 x) (*.f64 -2 x))
0.1b
(/.f64 (/.f64 2 (-.f64 x 1)) (fma.f64 x x x))
0.1b
(/.f64 (/.f64 2 (fma.f64 x x x)) (-.f64 x 1))
✓31.4b
(+.f64 (/.f64 -2 x) (/.f64 1 (-.f64 x 1)))
44.2b
(/.f64 -2 (*.f64 x x))
✓0.5b
(/.f64 2 (*.f64 (*.f64 x (+.f64 1 x)) (+.f64 x -1)))
✓9.9b
(+.f64 (-.f64 1 (/.f64 2 x)) -1)
✓31.7b
(/.f64 2 (*.f64 (*.f64 x x) (+.f64 x -1)))
14.0b
(/.f64 2 (*.f64 x (+.f64 x -1)))
✓56.4b
(/.f64 -1 x)
32.1b
(+.f64 (/.f64 -2 x) -1)
31.3b
(+.f64 (/.f64 2 (pow.f64 x 5)) (*.f64 (pow.f64 x -3) 2))
31.3b
(*.f64 (/.f64 2 (*.f64 x x)) (/.f64 1 (+.f64 x -1)))
✓31.3b
(/.f64 -2 x)
Compiler

Compiled 152 to 111 computations (27% saved)

regimes49.0ms (0.7%)

Counts
39 → 1
Calls
Call 1
Inputs
(/.f64 -1 x)
(/.f64 -2 x)
(/.f64 -2 (*.f64 x x))
(+.f64 (/.f64 -2 x) -1)
(+.f64 (/.f64 -1 x) -1)
(-.f64 (/.f64 -2 x) (+.f64 x 1))
(+.f64 (/.f64 -2 x) (*.f64 -2 x))
(/.f64 2 (*.f64 x (+.f64 x -1)))
(+.f64 (-.f64 1 (/.f64 2 x)) -1)
(/.f64 2 (*.f64 (*.f64 x x) (+.f64 x -1)))
(+.f64 (/.f64 -2 x) (/.f64 1 (-.f64 x 1)))
(+.f64 (/.f64 -1 x) (/.f64 1 (-.f64 x 1)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 -1 x) (/.f64 1 (-.f64 x 1)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(*.f64 (/.f64 2 (*.f64 x x)) (/.f64 1 (+.f64 x -1)))
(/.f64 2 (*.f64 (*.f64 x (+.f64 1 x)) (+.f64 x -1)))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) -1)
(+.f64 (-.f64 1 (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(+.f64 (-.f64 (-.f64 1 x) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 x))
(/.f64 2 (+.f64 (-.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) (+.f64 x -1))))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(+.f64 (/.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (*.f64 x (+.f64 1 x))) (/.f64 1 (-.f64 x 1)))
(+.f64 (*.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (/.f64 1 (*.f64 x (+.f64 1 x)))) (/.f64 1 (-.f64 x 1)))
(+.f64 (/.f64 1 (/.f64 (*.f64 x (+.f64 1 x)) (-.f64 x (*.f64 (+.f64 1 x) 2)))) (/.f64 1 (-.f64 x 1)))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 (/.f64 2 (-.f64 x 1)) (fma.f64 x x x))
(/.f64 (/.f64 2 (fma.f64 x x x)) (-.f64 x 1))
(*.f64 (/.f64 2 (fma.f64 x x x)) (/.f64 1 (+.f64 x -1)))
(fma.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))
(/.f64 (fma.f64 x (+.f64 1 x) (*.f64 (+.f64 x -1) (-.f64 x (*.f64 (+.f64 1 x) 2)))) (*.f64 (+.f64 x -1) (*.f64 x (+.f64 1 x))))
(/.f64 (fma.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (+.f64 x -1) (*.f64 (*.f64 x (+.f64 1 x)) 1)) (*.f64 (*.f64 x (+.f64 1 x)) (+.f64 x -1)))
(+.f64 (/.f64 2 (pow.f64 x 5)) (*.f64 (pow.f64 x -3) 2))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(/.f64 (fma.f64 -1 (*.f64 x (+.f64 1 x)) (*.f64 (fma.f64 -1 x 1) (-.f64 x (*.f64 (+.f64 1 x) 2)))) (*.f64 (fma.f64 -1 x 1) (*.f64 x (+.f64 1 x))))
Outputs
(/.f64 (/.f64 2 (-.f64 x 1)) (fma.f64 x x x))
Calls

2 calls:

21.0ms
x
15.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Results
ErrorSegmentsBranch
0.1b1x
0.1b1(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 467 to 341 computations (27% saved)

regimes37.0ms (0.6%)

Counts
29 → 1
Calls
Call 1
Inputs
(/.f64 -1 x)
(/.f64 -2 x)
(/.f64 -2 (*.f64 x x))
(+.f64 (/.f64 -2 x) -1)
(+.f64 (/.f64 -1 x) -1)
(-.f64 (/.f64 -2 x) (+.f64 x 1))
(+.f64 (/.f64 -2 x) (*.f64 -2 x))
(/.f64 2 (*.f64 x (+.f64 x -1)))
(+.f64 (-.f64 1 (/.f64 2 x)) -1)
(/.f64 2 (*.f64 (*.f64 x x) (+.f64 x -1)))
(+.f64 (/.f64 -2 x) (/.f64 1 (-.f64 x 1)))
(+.f64 (/.f64 -1 x) (/.f64 1 (-.f64 x 1)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 -1 x) (/.f64 1 (-.f64 x 1)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(*.f64 (/.f64 2 (*.f64 x x)) (/.f64 1 (+.f64 x -1)))
(/.f64 2 (*.f64 (*.f64 x (+.f64 1 x)) (+.f64 x -1)))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) -1)
(+.f64 (-.f64 1 (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(+.f64 (-.f64 (-.f64 1 x) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 x))
(/.f64 2 (+.f64 (-.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) (+.f64 x -1))))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(+.f64 (/.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (*.f64 x (+.f64 1 x))) (/.f64 1 (-.f64 x 1)))
(+.f64 (*.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (/.f64 1 (*.f64 x (+.f64 1 x)))) (/.f64 1 (-.f64 x 1)))
(+.f64 (/.f64 1 (/.f64 (*.f64 x (+.f64 1 x)) (-.f64 x (*.f64 (+.f64 1 x) 2)))) (/.f64 1 (-.f64 x 1)))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
Outputs
(/.f64 2 (*.f64 (*.f64 x (+.f64 1 x)) (+.f64 x -1)))
Calls

2 calls:

14.0ms
x
13.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Results
ErrorSegmentsBranch
0.5b1x
0.5b1(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 298 to 221 computations (25.8% saved)

regimes28.0ms (0.4%)

Counts
16 → 3
Calls
Call 1
Inputs
(/.f64 -1 x)
(/.f64 -2 x)
(/.f64 -2 (*.f64 x x))
(+.f64 (/.f64 -2 x) -1)
(+.f64 (/.f64 -1 x) -1)
(-.f64 (/.f64 -2 x) (+.f64 x 1))
(+.f64 (/.f64 -2 x) (*.f64 -2 x))
(/.f64 2 (*.f64 x (+.f64 x -1)))
(+.f64 (-.f64 1 (/.f64 2 x)) -1)
(/.f64 2 (*.f64 (*.f64 x x) (+.f64 x -1)))
(+.f64 (/.f64 -2 x) (/.f64 1 (-.f64 x 1)))
(+.f64 (/.f64 -1 x) (/.f64 1 (-.f64 x 1)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 -1 x) (/.f64 1 (-.f64 x 1)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(*.f64 (/.f64 2 (*.f64 x x)) (/.f64 1 (+.f64 x -1)))
Outputs
(*.f64 (/.f64 2 (*.f64 x x)) (/.f64 1 (+.f64 x -1)))
(+.f64 (/.f64 -2 x) (*.f64 -2 x))
(*.f64 (/.f64 2 (*.f64 x x)) (/.f64 1 (+.f64 x -1)))
Calls

1 calls:

24.0ms
x
Results
ErrorSegmentsBranch
0.9b3x
Compiler

Compiled 117 to 85 computations (27.4% saved)

bsearch49.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
27.0ms
0.8168229154669971
17.38997651676975
22.0ms
-16375921.992846377
-1.3551429534124365e-6
Compiler

Compiled 20 to 16 computations (20% saved)

regimes46.0ms (0.7%)

Counts
15 → 3
Calls
Call 1
Inputs
(/.f64 -1 x)
(/.f64 -2 x)
(/.f64 -2 (*.f64 x x))
(+.f64 (/.f64 -2 x) -1)
(+.f64 (/.f64 -1 x) -1)
(-.f64 (/.f64 -2 x) (+.f64 x 1))
(+.f64 (/.f64 -2 x) (*.f64 -2 x))
(/.f64 2 (*.f64 x (+.f64 x -1)))
(+.f64 (-.f64 1 (/.f64 2 x)) -1)
(/.f64 2 (*.f64 (*.f64 x x) (+.f64 x -1)))
(+.f64 (/.f64 -2 x) (/.f64 1 (-.f64 x 1)))
(+.f64 (/.f64 -1 x) (/.f64 1 (-.f64 x 1)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 -1 x) (/.f64 1 (-.f64 x 1)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
Outputs
(/.f64 2 (*.f64 (*.f64 x x) (+.f64 x -1)))
(+.f64 (/.f64 -2 x) (*.f64 -2 x))
(/.f64 2 (*.f64 (*.f64 x x) (+.f64 x -1)))
Calls

1 calls:

40.0ms
x
Results
ErrorSegmentsBranch
1.2b3x
Compiler

Compiled 106 to 78 computations (26.4% saved)

bsearch67.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
32.0ms
0.8168229154669971
17.38997651676975
34.0ms
-16375921.992846377
-1.3551429534124365e-6
Compiler

Compiled 20 to 16 computations (20% saved)

regimes21.0ms (0.3%)

Counts
9 → 1
Calls
Call 1
Inputs
(/.f64 -1 x)
(/.f64 -2 x)
(/.f64 -2 (*.f64 x x))
(+.f64 (/.f64 -2 x) -1)
(+.f64 (/.f64 -1 x) -1)
(-.f64 (/.f64 -2 x) (+.f64 x 1))
(+.f64 (/.f64 -2 x) (*.f64 -2 x))
(/.f64 2 (*.f64 x (+.f64 x -1)))
(+.f64 (-.f64 1 (/.f64 2 x)) -1)
Outputs
(+.f64 (-.f64 1 (/.f64 2 x)) -1)
Calls

1 calls:

17.0ms
x
Results
ErrorSegmentsBranch
9.9b1x
Compiler

Compiled 52 to 38 computations (26.9% saved)

regimes13.0ms (0.2%)

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

1 calls:

9.0ms
x
Results
ErrorSegmentsBranch
14.0b1x
Compiler

Compiled 45 to 32 computations (28.9% saved)

regimes73.0ms (1.1%)

Counts
7 → 3
Calls
Call 1
Inputs
(/.f64 -1 x)
(/.f64 -2 x)
(/.f64 -2 (*.f64 x x))
(+.f64 (/.f64 -2 x) -1)
(+.f64 (/.f64 -1 x) -1)
(-.f64 (/.f64 -2 x) (+.f64 x 1))
(+.f64 (/.f64 -2 x) (*.f64 -2 x))
Outputs
(/.f64 -2 (*.f64 x x))
(+.f64 (/.f64 -2 x) (*.f64 -2 x))
(/.f64 -2 (*.f64 x x))
Calls

1 calls:

24.0ms
x
Results
ErrorSegmentsBranch
13.7b3x
Compiler

Compiled 38 to 27 computations (28.9% saved)

bsearch68.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
35.0ms
0.8168229154669971
17.38997651676975
33.0ms
-16375921.992846377
-1.3551429534124365e-6
Compiler

Compiled 20 to 16 computations (20% saved)

regimes28.0ms (0.4%)

Counts
6 → 3
Calls
Call 1
Inputs
(/.f64 -1 x)
(/.f64 -2 x)
(/.f64 -2 (*.f64 x x))
(+.f64 (/.f64 -2 x) -1)
(+.f64 (/.f64 -1 x) -1)
(-.f64 (/.f64 -2 x) (+.f64 x 1))
Outputs
(/.f64 -2 (*.f64 x x))
(/.f64 -2 x)
(/.f64 -2 (*.f64 x x))
Calls

1 calls:

25.0ms
x
Results
ErrorSegmentsBranch
13.8b3x
Compiler

Compiled 31 to 22 computations (29% saved)

bsearch75.0ms (1.1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
40.0ms
2.1340352893459627e-14
0.8168229154669971
35.0ms
-16375921.992846377
-1.3551429534124365e-6
Compiler

Compiled 20 to 16 computations (20% saved)

regimes4.0ms (0.1%)

Accuracy

Total -25.1b remaining (-80.4%)

Threshold costs -25.1b (-80.4%)

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

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
31.3b1x
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify14.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
7×*-commutative_binary64
6×+-commutative_binary64
3×sub-neg_binary64
1×distribute-neg-frac_binary64
1×unsub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046226
162226
267226
370226
471226
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 2 (-.f64 x 1)) (fma.f64 x x x))
(/.f64 2 (*.f64 (*.f64 x (+.f64 1 x)) (+.f64 x -1)))
(if (<=.f64 x -2197939043785073/134217728) (*.f64 (/.f64 2 (*.f64 x x)) (/.f64 1 (+.f64 x -1))) (if (<=.f64 x 7357286755449701/9007199254740992) (+.f64 (/.f64 -2 x) (*.f64 -2 x)) (*.f64 (/.f64 2 (*.f64 x x)) (/.f64 1 (+.f64 x -1)))))
(if (<=.f64 x -2197939043785073/134217728) (/.f64 2 (*.f64 (*.f64 x x) (+.f64 x -1))) (if (<=.f64 x 7357286755449701/9007199254740992) (+.f64 (/.f64 -2 x) (*.f64 -2 x)) (/.f64 2 (*.f64 (*.f64 x x) (+.f64 x -1)))))
(+.f64 (-.f64 1 (/.f64 2 x)) -1)
(/.f64 2 (*.f64 x (+.f64 x -1)))
(if (<=.f64 x -2197939043785073/134217728) (/.f64 -2 (*.f64 x x)) (if (<=.f64 x 7357286755449701/9007199254740992) (+.f64 (/.f64 -2 x) (*.f64 -2 x)) (/.f64 -2 (*.f64 x x))))
(if (<=.f64 x -2197939043785073/134217728) (/.f64 -2 (*.f64 x x)) (if (<=.f64 x 3381513894309541/158456325028528675187087900672) (/.f64 -2 x) (/.f64 -2 (*.f64 x x))))
(/.f64 -2 x)
(/.f64 -1 x)
Outputs
(/.f64 (/.f64 2 (-.f64 x 1)) (fma.f64 x x x))
(/.f64 (/.f64 2 (+.f64 x -1)) (fma.f64 x x x))
(/.f64 2 (*.f64 (*.f64 x (+.f64 1 x)) (+.f64 x -1)))
(/.f64 2 (*.f64 (*.f64 x (+.f64 x 1)) (+.f64 x -1)))
(if (<=.f64 x -2197939043785073/134217728) (*.f64 (/.f64 2 (*.f64 x x)) (/.f64 1 (+.f64 x -1))) (if (<=.f64 x 7357286755449701/9007199254740992) (+.f64 (/.f64 -2 x) (*.f64 -2 x)) (*.f64 (/.f64 2 (*.f64 x x)) (/.f64 1 (+.f64 x -1)))))
(if (<=.f64 x -2197939043785073/134217728) (*.f64 (/.f64 2 (*.f64 x x)) (/.f64 1 (+.f64 x -1))) (if (<=.f64 x 7357286755449701/9007199254740992) (+.f64 (/.f64 -2 x) (*.f64 x -2)) (*.f64 (/.f64 2 (*.f64 x x)) (/.f64 1 (+.f64 x -1)))))
(if (<=.f64 x -2197939043785073/134217728) (/.f64 2 (*.f64 (*.f64 x x) (+.f64 x -1))) (if (<=.f64 x 7357286755449701/9007199254740992) (+.f64 (/.f64 -2 x) (*.f64 -2 x)) (/.f64 2 (*.f64 (*.f64 x x) (+.f64 x -1)))))
(if (<=.f64 x -2197939043785073/134217728) (/.f64 2 (*.f64 (+.f64 x -1) (*.f64 x x))) (if (<=.f64 x 7357286755449701/9007199254740992) (+.f64 (/.f64 -2 x) (*.f64 x -2)) (/.f64 2 (*.f64 (+.f64 x -1) (*.f64 x x)))))
(+.f64 (-.f64 1 (/.f64 2 x)) -1)
(+.f64 -1 (-.f64 1 (/.f64 2 x)))
(/.f64 2 (*.f64 x (+.f64 x -1)))
(if (<=.f64 x -2197939043785073/134217728) (/.f64 -2 (*.f64 x x)) (if (<=.f64 x 7357286755449701/9007199254740992) (+.f64 (/.f64 -2 x) (*.f64 -2 x)) (/.f64 -2 (*.f64 x x))))
(if (<=.f64 x -2197939043785073/134217728) (/.f64 -2 (*.f64 x x)) (if (<=.f64 x 7357286755449701/9007199254740992) (+.f64 (/.f64 -2 x) (*.f64 x -2)) (/.f64 -2 (*.f64 x x))))
(if (<=.f64 x -2197939043785073/134217728) (/.f64 -2 (*.f64 x x)) (if (<=.f64 x 3381513894309541/158456325028528675187087900672) (/.f64 -2 x) (/.f64 -2 (*.f64 x x))))
(/.f64 -2 x)
(/.f64 -1 x)
Compiler

Compiled 167 to 116 computations (30.5% saved)

soundness0.0ms (0%)

end93.0ms (1.4%)

Compiler

Compiled 158 to 104 computations (34.2% saved)

Profiling

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