Details

Time bar (total: 14.6s)

analyze7.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
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)

sample1.7s (11.8%)

Results
980.0ms5353×body256valid
442.0ms1367×body1024valid
282.0ms1536×body512valid
0.0msbody256infinite
Bogosity

preprocess34.0ms (0.2%)

Algorithm
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
saturated
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)

simplify19.0ms (0.1%)

Algorithm
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
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
8.6b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
8.6b
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 16 to 13 computations (18.8% saved)

localize29.0ms (0.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
1.3b
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
0.0b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
0.0b
(/.f64 1 (+.f64 x 1))
0.0b
(/.f64 1 (-.f64 x 1))
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))
1.3b
(+.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%)

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

rewrite183.0ms (1.3%)

Algorithm
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
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 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))))))
((#(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))))))

simplify74.0ms (0.5%)

Algorithm
egg-herbie
Rules
592×sub-neg_binary64
467×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
31925716
45414713
Stop Event
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 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
Outputs
(/.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 5) (+.f64 x (pow.f64 x 3))) (/.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 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 -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 (+.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 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 (/.f64 -1 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 (/.f64 -1 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 1 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 (/.f64 -1 x) x) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 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 (/.f64 -1 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 (/.f64 -1 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 1 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 (/.f64 -1 x) x) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 x))))
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))
(-.f64 (fma.f64 x x 1) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))))
(fma.f64 -1 (pow.f64 x 3) (+.f64 1 (fma.f64 -1 x (*.f64 x x))))
(-.f64 (+.f64 1 (-.f64 (*.f64 x x) x)) (pow.f64 x 3))
(fma.f64 x (+.f64 x -1) (-.f64 1 (pow.f64 x 3)))
(*.f64 (-.f64 1 x) (fma.f64 x x 1))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 -1 x) x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 (/.f64 -1 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 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 (/.f64 -1 x) 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 (/.f64 -1 x) x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 (/.f64 -1 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 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 (/.f64 -1 x) 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)
(+.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 x) (/.f64 (/.f64 -1 x) x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 (/.f64 -1 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 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 4)))) (/.f64 1 (pow.f64 x 3)))
(+.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 (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 x)) (/.f64 (/.f64 -1 x) x)))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(-.f64 (/.f64 1 x) (/.f64 (/.f64 -1 x) x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 (/.f64 -1 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 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 4)))) (/.f64 1 (pow.f64 x 3)))
(+.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 (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 x)) (/.f64 (/.f64 -1 x) x)))

eval284.0ms (1.9%)

Compiler

Compiled 7835 to 6308 computations (19.5% saved)

prune130.0ms (0.9%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New31017327
Fresh000
Picked011
Done000
Total31018328
Error
0.2b
Counts
328 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
25.5b
(+.f64 (/.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (*.f64 x (+.f64 1 x))) (/.f64 1 (-.f64 x 1)))
8.6b
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
31.8b
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
8.5b
(+.f64 (/.f64 (/.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
31.7b
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) -1)
25.6b
(/.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)))
31.9b
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
25.8b
(+.f64 (*.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (/.f64 1 (*.f64 x (+.f64 1 x)))) (/.f64 1 (-.f64 x 1)))
25.0b
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (*.f64 (-.f64 (/.f64 2 x) (/.f64 1 (+.f64 x -1))) (-.f64 (/.f64 2 x) (/.f64 1 (+.f64 x -1))))) (+.f64 (/.f64 1 (+.f64 1 x)) (-.f64 (/.f64 2 x) (/.f64 1 (+.f64 x -1)))))
32.0b
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
34.9b
(+.f64 (/.f64 -1 x) (/.f64 1 (-.f64 x 1)))
32.3b
(/.f64 2 (pow.f64 x 3))
25.2b
(/.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))))
25.6b
(/.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))))
31.7b
(+.f64 (+.f64 1 (/.f64 -2 x)) (/.f64 1 (-.f64 x 1)))
31.1b
(/.f64 -2 x)
31.9b
(+.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)))))
29.8b
(fma.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))
Compiler

Compiled 656 to 511 computations (22.1% saved)

localize28.0ms (0.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (/.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (+.f64 1 x)) x)
0.0b
(-.f64 x (*.f64 (+.f64 1 x) 2))
0.0b
(/.f64 1 (-.f64 x 1))
0.0b
(/.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (+.f64 1 x))
0.0b
(/.f64 1 (-.f64 x 1))
0.0b
(-.f64 x (*.f64 (+.f64 1 x) 2))
0.0b
(/.f64 (/.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (+.f64 1 x)) x)
0.8b
(+.f64 (/.f64 (/.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 70 to 51 computations (27.1% saved)

series32.0ms (0.2%)

Counts
3 → 36
Calls

9 calls:

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

rewrite120.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
781×fma-def_binary64
386×log-div_binary64
378×fma-neg_binary64
267×expm1-udef_binary64
267×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01257
130057
2511347
Stop Event
node limit
Counts
3 → 223
Calls
Call 1
Inputs
(+.f64 (/.f64 (/.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
(/.f64 (/.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (+.f64 1 x)) x)
(-.f64 x (*.f64 (+.f64 1 x) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x)) (/.f64 1 (+.f64 x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x)) 2) (-.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x)) (/.f64 1 (+.f64 x -1)))) (/.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x)) (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x)) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x)) (/.f64 1 (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x)) (/.f64 1 (+.f64 x -1)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x)) (/.f64 1 (+.f64 x -1)))) 2))))) (#(struct:change 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((x *.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x)) 2) (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (-.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x)) (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 x x) x) (fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x)) 2) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 (-.f64 x (fma.f64 x 2 2)) (*.f64 (fma.f64 x x x) (+.f64 x -1))))) (+.f64 (pow.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x)) 3) (pow.f64 (+.f64 x -1) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x)) (/.f64 1 (+.f64 x -1))) (-.f64 (pow.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x)) 2) (pow.f64 (+.f64 x -1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (/.f64 (-.f64 x 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(*.f64 (+.f64 x 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (*.f64 (*.f64 (+.f64 x 1) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x 2 2)) (neg.f64 (sqrt.f64 (fma.f64 x 2 2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 x (fma.f64 x 2 2))) (sqrt.f64 (-.f64 x (fma.f64 x 2 2))) (fma.f64 (*.f64 (+.f64 x 1) -2) 1 (fma.f64 x 2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 x (fma.f64 x 2 2))) (sqrt.f64 (-.f64 x (fma.f64 x 2 2))) (fma.f64 -2 (+.f64 x 1) (fma.f64 x 2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 x (fma.f64 x 2 2))) (sqrt.f64 (-.f64 x (fma.f64 x 2 2))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x 2 2))) (pow.f64 (cbrt.f64 (fma.f64 x 2 2)) 2) (fma.f64 x 2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (fma.f64 x 2 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1 x -1) 2 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 2 2) 3)) (/.f64 1 (fma.f64 x x (*.f64 (fma.f64 x 2 2) (fma.f64 (+.f64 x 1) 2 x)))) (fma.f64 (*.f64 (+.f64 x 1) -2) 1 (fma.f64 x 2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 2 2) 3)) (/.f64 1 (fma.f64 x x (*.f64 (fma.f64 x 2 2) (fma.f64 (+.f64 x 1) 2 x)))) (fma.f64 -2 (+.f64 x 1) (fma.f64 x 2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 2 2) 3)) (/.f64 1 (fma.f64 x x (*.f64 (fma.f64 x 2 2) (fma.f64 (+.f64 x 1) 2 x)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x 2 2))) (pow.f64 (cbrt.f64 (fma.f64 x 2 2)) 2) (fma.f64 x 2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x 2 2) 2)) (/.f64 1 (fma.f64 (+.f64 x 1) 2 x)) (fma.f64 (*.f64 (+.f64 x 1) -2) 1 (fma.f64 x 2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x 2 2) 2)) (/.f64 1 (fma.f64 (+.f64 x 1) 2 x)) (fma.f64 -2 (+.f64 x 1) (fma.f64 x 2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 x 2 2) 2)) (/.f64 1 (fma.f64 (+.f64 x 1) 2 x)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x 2 2))) (pow.f64 (cbrt.f64 (fma.f64 x 2 2)) 2) (fma.f64 x 2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 x 1) -2)) (cbrt.f64 (*.f64 (+.f64 x 1) -2))) (cbrt.f64 (*.f64 (+.f64 x 1) -2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (+.f64 x 1) -2)) (sqrt.f64 (*.f64 (+.f64 x 1) -2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (+.f64 x 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x 2 2))) (sqrt.f64 (fma.f64 x 2 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x 2 2))) (-.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x 2 2))) (fma.f64 (*.f64 (+.f64 x 1) -2) 1 (fma.f64 x 2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x 2 2))) (-.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x 2 2))) (fma.f64 -2 (+.f64 x 1) (fma.f64 x 2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x 2 2))) (-.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x 2 2))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x 2 2))) (pow.f64 (cbrt.f64 (fma.f64 x 2 2)) 2) (fma.f64 x 2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 2)) 2)) (cbrt.f64 (fma.f64 x 2 2)) x)))))

simplify57.0ms (0.4%)

Algorithm
egg-herbie
Rules
645×fma-def_binary64
530×fma-neg_binary64
424×associate-/l/_binary64
409×cancel-sign-sub-inv_binary64
315×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
060453
1183440
2470428
31270427
43557427
Stop Event
node limit
Counts
259 → 255
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))))
-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)
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 (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 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 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 5)) (+.f64 (/.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 (/.f64 -2 x) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 1 (fma.f64 -1 x (*.f64 x x))) (/.f64 2 x))
(+.f64 1 (+.f64 (-.f64 (*.f64 x x) x) (/.f64 -2 x)))
(+.f64 (-.f64 1 x) (fma.f64 x x (/.f64 -2 x)))
(+.f64 1 (-.f64 (fma.f64 x x (/.f64 -2 x)) x))
(+.f64 1 (fma.f64 x x (-.f64 (/.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 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.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 1 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.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)
(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 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.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 1 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.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)))))
-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)

localize122.0ms (0.8%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 36 to 28 computations (22.2% saved)

rewrite0.0ms (0%)

Counts
0 → 0

simplify7.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
0 → 0
Calls
Call 1
Inputs
Outputs

localize44.0ms (0.3%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.4b
(/.f64 1 (*.f64 x (+.f64 1 x)))
0.0b
(-.f64 x (*.f64 (+.f64 1 x) 2))
0.0b
(*.f64 x (+.f64 1 x))
0.0b
(/.f64 1 (+.f64 x -1))
0.0b
(*.f64 x (+.f64 1 x))
0.0b
(-.f64 x (*.f64 (+.f64 1 x) 2))
0.4b
(/.f64 1 (*.f64 x (+.f64 1 x)))
29.7b
(fma.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))
Compiler

Compiled 60 to 44 computations (26.7% saved)

series6.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@0
(fma.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))
1.0ms
x
@inf
(fma.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))
1.0ms
x
@-inf
(fma.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))
0.0ms
x
@-inf
(*.f64 x (+.f64 1 x))
0.0ms
x
@inf
(*.f64 x (+.f64 1 x))

rewrite90.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
988×prod-diff_binary64
440×fma-def_binary64
249×expm1-udef_binary64
249×log1p-udef_binary64
232×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01346
129545
2410937
Stop Event
node limit
Counts
3 → 109
Calls
Call 1
Inputs
(fma.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)))
(*.f64 x (+.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x)) 1) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x)))) 2) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (pow.f64 (+.f64 x -1) -1/2) (sqrt.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x)))) (hypot.f64 (pow.f64 (+.f64 x -1) -1/2) (sqrt.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x)) 3) (pow.f64 (/.f64 1 (+.f64 x -1)) 3)) (fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x)) (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x)) (-.f64 (pow.f64 (+.f64 x -1) -2) (*.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x)) (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x)) (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x))) (pow.f64 (+.f64 x -1) -2)) (-.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x)) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (pow.f64 (+.f64 x -1) -1/2) (sqrt.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 1 (+.f64 x -1))) (exp.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1)))) (exp.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x))) (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x x))) (cbrt.f64 (pow.f64 (fma.f64 x x x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x x) -1/2) (pow.f64 (fma.f64 x x x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (pow.f64 (+.f64 x 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) -1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x x x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) -1) (pow.f64 (hypot.f64 x (sqrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 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 (/.f64 1 (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 x x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x x) -1/2) 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 (/.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.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 exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x x x))) 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 (*.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 x (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x 1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) (/.f64 1 (cbrt.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 x (sqrt.f64 x)) (pow.f64 (fma.f64 x x x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x x) 3)) (fma.f64 x x (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (-.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) 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 cbrt.f64 (*.f64 (pow.f64 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 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) 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 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) x)))) (#(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) 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 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 x) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x)))))

simplify69.0ms (0.5%)

Algorithm
egg-herbie
Rules
550×fma-def_binary64
389×associate-/l/_binary64
382×fma-neg_binary64
298×times-frac_binary64
290×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
058491
1172466
2436463
31161462
43140462
57811462
Stop Event
node limit
Counts
145 → 142
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 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))))
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 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 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 5)) (+.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 1 x) (+.f64 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 (/.f64 1 x) (-.f64 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 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4)))
(-.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 5)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 5))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 5)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 -1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3)))))
(/.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 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4)))
(-.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 5)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 5))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 5)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 -1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3)))))
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)

localize16.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(/.f64 2 (pow.f64 x 3))
0.1b
(/.f64 2 (pow.f64 x 5))
0.0b
(pow.f64 x 3)
0.0b
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
0.0b
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
0.0b
(pow.f64 x 3)
0.1b
(/.f64 2 (pow.f64 x 5))
0.2b
(/.f64 2 (pow.f64 x 3))
Compiler

Compiled 32 to 25 computations (21.9% saved)

series6.0ms (0%)

Counts
4 → 12
Calls

12 calls:

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

rewrite251.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
933×prod-diff_binary64
494×log-prod_binary64
314×fma-def_binary64
291×pow2_binary64
199×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01034
124131
2320431
Stop Event
node limit
Counts
4 → 151
Calls
Call 1
Inputs
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 5))
(pow.f64 x 3)
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (pow.f64 x -3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (pow.f64 x -3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.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) (cbrt.f64 (/.f64 4 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 6))) (/.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 (/.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 8 (pow.f64 (pow.f64 x -3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (pow.f64 x 3) 1/2) 1) -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 log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 8 (pow.f64 (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 exp.f64 (*.f64 (log.f64 (*.f64 2 (pow.f64 x -3))) 1))))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (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 (*.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 log.f64 (+.f64 1 (expm1.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)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 x)) 1))))))
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simplify102.0ms (0.7%)

Algorithm
egg-herbie
Rules
1196×associate-/r/_binary64
724×unswap-sqr_binary64
503×associate-/l/_binary64
500×sqr-pow_binary64
498×associate-/r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015165
135165
268165
3120165
4268165
5876165
63958165
75365165
85616165
96198165
106527165
117034165
Stop Event
node limit
Counts
163 → 155
Calls
Call 1
Inputs
(/.f64 2 (pow.f64 x 5))
(+.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 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(/.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 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(/.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 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
Outputs
(/.f64 2 (pow.f64 x 5))
(+.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 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 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(/.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 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 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(/.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 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 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))

eval1.3s (8.9%)

Compiler

Compiled 19963 to 14840 computations (25.7% saved)

prune271.0ms (1.9%)

Pruning

22 alts after pruning (20 fresh and 2 done)

PrunedKeptTotal
New85615871
Fresh7512
Picked101
Done325
Total86722889
Error
0b
Counts
889 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
32.3b
(/.f64 2 (pow.f64 x 3))
8.5b
(/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1) x) x) (+.f64 x -1))
34.9b
(+.f64 (/.f64 -1 x) (/.f64 1 (-.f64 x 1)))
29.8b
(fma.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (*.f64 (/.f64 (/.f64 1 x) (-.f64 1 (*.f64 x x))) (-.f64 1 x)) (/.f64 1 (+.f64 x -1)))
32.0b
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (*.f64 (*.f64 x x) x)))
29.8b
(fma.f64 (-.f64 -2 x) (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))
25.5b
(+.f64 (/.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (*.f64 x (+.f64 1 x))) (/.f64 1 (-.f64 x 1)))
8.6b
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
31.8b
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
31.1b
(/.f64 -2 x)
31.9b
(+.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)))))
25.2b
(/.f64 (+.f64 (fma.f64 x x x) (*.f64 (+.f64 x -1) (-.f64 x (fma.f64 x 2 2)))) (*.f64 (+.f64 x -1) (fma.f64 x x x)))
25.8b
(+.f64 (*.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (/.f64 1 (*.f64 x (+.f64 1 x)))) (/.f64 1 (-.f64 x 1)))
31.1b
(+.f64 (/.f64 (/.f64 -2 (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
9.7b
(+.f64 (+.f64 1 (/.f64 -2 x)) -1)
32.1b
(+.f64 (/.f64 2 (pow.f64 x 5)) (pow.f64 (/.f64 (cbrt.f64 2) x) 3))
31.8b
(*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5)))
31.7b
(+.f64 (+.f64 1 (/.f64 -2 x)) (/.f64 1 (-.f64 x 1)))
27.6b
(+.f64 (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 x 1) -2) (*.f64 (+.f64 x 1) -2))) (-.f64 x (*.f64 (+.f64 x 1) -2))) (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
31.9b
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
8.6b
(+.f64 (/.f64 (/.f64 (-.f64 -2 x) (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
57.0b
(+.f64 (/.f64 -1 x) -1)
Compiler

Compiled 680 to 518 computations (23.8% saved)

localize73.0ms (0.5%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (fma.f64 x 2 2))
0.0b
(/.f64 (fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1) x) x)
0.0b
(/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1))
0.0b
(/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1) x) x) (+.f64 x -1))
0.0b
(/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1))
0.0b
(/.f64 (fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1) x) x)
0.0b
(-.f64 x (fma.f64 x 2 2))
1.3b
(fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1) x)
Compiler

Compiled 84 to 57 computations (32.1% saved)

series46.0ms (0.3%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
36.0ms
x
@-inf
(fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1) x)
3.0ms
x
@inf
(/.f64 (fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1) x) x)
1.0ms
x
@inf
(fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1) x)
1.0ms
x
@-inf
(/.f64 (fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1) x) x)
1.0ms
x
@0
(fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1) x)

rewrite326.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
956×prod-diff_binary64
362×fma-def_binary64
263×fma-neg_binary64
239×expm1-udef_binary64
239×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01267
127467
2402267
Stop Event
node limit
Counts
4 → 379
Calls
Call 1
Inputs
(fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1) x)
(-.f64 x (fma.f64 x 2 2))
(/.f64 (fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1) x) x)
(/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1) x)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1) x)) 2) (cbrt.f64 (fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1) x)) (sqrt.f64 (fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1)) 3) (pow.f64 x 3)) (fma.f64 (*.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1)) (*.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1)) (*.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1))) (*.f64 x x)) (-.f64 (*.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (exp.f64 (*.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (*.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1) x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (fma.f64 x 2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 (fma.f64 x 2 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 (neg.f64 (fma.f64 x 2 2)) 1 (fma.f64 x 2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x 2 2))) (pow.f64 (cbrt.f64 (fma.f64 x 2 2)) 2) (fma.f64 x 2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 (neg.f64 (fma.f64 x 2 2)) (fma.f64 x 2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 -1 (fma.f64 x 2 2) (fma.f64 x 2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 2)) 2)) (cbrt.f64 (fma.f64 x 2 2)) (fma.f64 x 2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (fma.f64 x 2 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1 (neg.f64 (*.f64 2 (+.f64 x 1)))) (fma.f64 -2 (+.f64 x 1) (*.f64 2 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 x (neg.f64 (*.f64 2 (+.f64 x 1)))) (fma.f64 -2 (+.f64 x 1) (*.f64 2 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (*.f64 2 (+.f64 x 1)))) (fma.f64 -2 (+.f64 x 1) (*.f64 2 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (*.f64 2 (+.f64 x 1)))) (fma.f64 -2 (+.f64 x 1) (*.f64 2 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (neg.f64 (*.f64 2 (+.f64 x 1)))) (fma.f64 -2 (+.f64 x 1) (*.f64 2 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (*.f64 2 (+.f64 x 1)))) (fma.f64 -2 (+.f64 x 1) (*.f64 2 (+.f64 x 1))))))) (#(struct:change #<rule 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x) (cbrt.f64 (+.f64 x 1))) (neg.f64 (/.f64 (fma.f64 x 2 2) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x 1))) (neg.f64 (/.f64 (fma.f64 x 2 2) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (neg.f64 (/.f64 (fma.f64 x 2 2) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x) (neg.f64 (/.f64 (fma.f64 x 2 2) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1) (neg.f64 (/.f64 (fma.f64 x 2 2) (+.f64 x 1))))))))

simplify83.0ms (0.6%)

Algorithm
egg-herbie
Rules
768×fma-def_binary64
444×sub-neg_binary64
276×distribute-neg-frac_binary64
274×fma-neg_binary64
250×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
064573
1204561
2575548
31587534
44973534
Stop Event
node limit
Counts
427 → 425
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 -2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 -2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
-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 (*.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)))))
-2
(-.f64 x 2)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) x) 2)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) 2)
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 1 (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 1 (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
Outputs
2
(+.f64 2 (*.f64 -2 x))
(fma.f64 -2 x 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 -2 x)))
(fma.f64 2 (*.f64 x x) (+.f64 2 (*.f64 -2 x)))
(fma.f64 2 (*.f64 x x) (fma.f64 -2 x 2))
(+.f64 2 (*.f64 x (fma.f64 2 x -2)))
(fma.f64 x (fma.f64 2 x -2) 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x x) (+.f64 2 (*.f64 -2 (+.f64 x (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x x) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) 2))
(+.f64 (fma.f64 -2 (pow.f64 x 3) 2) (*.f64 x (fma.f64 2 x -2)))
(*.f64 (fma.f64 x x 1) (fma.f64 -2 x 2))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))))
(+.f64 (-.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (/.f64 2 (pow.f64 x 4))) (/.f64 -2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 4))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 -2 (pow.f64 x 3)))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4)))))
(+.f64 (-.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (/.f64 2 (pow.f64 x 4))) (/.f64 -2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 4))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 -2 (pow.f64 x 3)))))
-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 (*.f64 2 (/.f64 1 x)) 2)
(+.f64 (/.f64 2 x) -2)
(+.f64 -2 (/.f64 2 x))
(-.f64 (+.f64 (*.f64 2 x) (*.f64 2 (/.f64 1 x))) 2)
(+.f64 (fma.f64 2 x (/.f64 2 x)) -2)
(+.f64 -2 (fma.f64 2 x (/.f64 2 x)))
(-.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)
(+.f64 -2 (fma.f64 -2 (*.f64 x x) (fma.f64 2 x (/.f64 2 x))))
(+.f64 -2 (+.f64 (/.f64 2 x) (*.f64 x (fma.f64 -2 x 2))))
(+.f64 -2 (fma.f64 x (fma.f64 -2 x 2) (/.f64 2 x)))
(/.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 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 -2 (pow.f64 x 3))) (/.f64 -2 (*.f64 x x)))
(-.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 2 (pow.f64 x 4)) (-.f64 (/.f64 2 (*.f64 x x)) (+.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 3)) (/.f64 -2 (pow.f64 x 5)))))
(/.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 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 -2 (pow.f64 x 3))) (/.f64 -2 (*.f64 x x)))
(-.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 2 (pow.f64 x 4)) (-.f64 (/.f64 2 (*.f64 x x)) (+.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 3)) (/.f64 -2 (pow.f64 x 5)))))
-2
(-.f64 x 2)
(+.f64 x -2)
(+.f64 -2 x)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) x) 2)
(+.f64 (fma.f64 -1 (*.f64 x x) x) -2)
(+.f64 -2 (-.f64 x (*.f64 x x)))
(-.f64 x (fma.f64 x x 2))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) 2)
(+.f64 (fma.f64 -1 (*.f64 x x) (+.f64 x (pow.f64 x 3))) -2)
(+.f64 -2 (-.f64 (+.f64 x (pow.f64 x 3)) (*.f64 x x)))
(+.f64 -2 (*.f64 x (-.f64 (fma.f64 x x 1) x)))
(fma.f64 x (-.f64 (fma.f64 x x 1) x) -2)
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(-.f64 -1 (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 1 (/.f64 1 x)))
(-.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 1 x)))
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 -1 (/.f64 -1 x)))
(+.f64 (/.f64 (/.f64 1 x) x) (-.f64 -1 (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -1 x)))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 1 x) (+.f64 1 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(-.f64 -1 (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 1 (/.f64 1 x)))
(-.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 1 x)))
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 -1 (/.f64 -1 x)))
(+.f64 (/.f64 (/.f64 1 x) x) (-.f64 -1 (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -1 x)))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 1 x) (+.f64 1 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))

localize5.0ms (0%)

Compiler

Compiled 11 to 8 computations (27.3% saved)

localize15.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

Compiled 31 to 24 computations (22.6% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite81.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
943×prod-diff_binary64
520×fma-def_binary64
449×log-prod_binary64
247×fma-neg_binary64
201×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
121723
2328823
Stop Event
node limit
Counts
2 → 113
Calls
Call 1
Inputs
(+.f64 (+.f64 1 (/.f64 -2 x)) (/.f64 1 (-.f64 x 1)))
(+.f64 1 (/.f64 -2 x))
Outputs
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-1/2) (+.f64 1 (/.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 1 (+.f64 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))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (fma.f64 -1 x 1)) (+.f64 1 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1 (neg.f64 x)) (+.f64 1 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 -8 (pow.f64 x 3))) (/.f64 1 (fma.f64 (/.f64 -2 x) (-.f64 (/.f64 -2 x) 1) 1)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) -2 (+.f64 1 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (/.f64 4 (*.f64 x x))) (/.f64 1 (-.f64 1 (/.f64 -2 x))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))) (cbrt.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))) (cbrt.f64 (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (/.f64 1 (+.f64 x -1))) (+.f64 1 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -1)) (fma.f64 x x (+.f64 1 x)) (+.f64 1 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 1 x) (+.f64 1 (/.f64 -2 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 -2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 -2 x))) (/.f64 (/.f64 4 (*.f64 x x)) (-.f64 1 (/.f64 -2 x))))))) (#(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 (cbrt.f64 (+.f64 1 (/.f64 -2 x))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -2 x))) 2) (cbrt.f64 (+.f64 1 (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 -2 x))) (sqrt.f64 (+.f64 1 (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 -8 (pow.f64 x 3))) (/.f64 1 (fma.f64 (/.f64 -2 x) (-.f64 (/.f64 -2 x) 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 4 (*.f64 x x))) (/.f64 1 (-.f64 1 (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 -2 x) (-.f64 (/.f64 -2 x) 1) 1) (+.f64 1 (/.f64 -8 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (/.f64 -2 x)) (-.f64 1 (/.f64 4 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (/.f64 -8 (pow.f64 x 3))) (fma.f64 (/.f64 -2 x) (-.f64 (/.f64 -2 x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (/.f64 -8 (pow.f64 x 3))) (+.f64 (/.f64 4 (*.f64 x x)) (-.f64 1 (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (/.f64 4 (*.f64 x x))) (-.f64 1 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (/.f64 -8 (pow.f64 x 3)))) (neg.f64 (fma.f64 (/.f64 -2 x) (-.f64 (/.f64 -2 x) 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (/.f64 4 (*.f64 x x)))) (neg.f64 (-.f64 1 (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 4 (*.f64 x x)) 1) (-.f64 (/.f64 -2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 -2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 -2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 -2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 -2 x) (-.f64 (/.f64 -2 x) 1) 1) (+.f64 1 (/.f64 -8 (pow.f64 x 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (/.f64 -2 x)) (-.f64 1 (/.f64 4 (*.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 -2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 -2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (/.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2 x) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -2 x)) (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (cbrt.f64 (/.f64 -2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2 x)) (sqrt.f64 (/.f64 -2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1 (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) -2 1)))))

simplify78.0ms (0.5%)

Algorithm
egg-herbie
Rules
713×associate-/l/_binary64
544×times-frac_binary64
373×fma-def_binary64
337×unswap-sqr_binary64
307×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
029219
185210
2213206
3696204
42642204
54668204
Stop Event
node limit
Counts
137 → 129
Calls
Call 1
Inputs
(/.f64 -2 x)
(-.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) (*.f64 2 (/.f64 1 x)))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x))
(/.f64 -2 x)
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 1 (*.f64 2 (/.f64 1 x)))
1
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 1 (*.f64 2 (/.f64 1 x)))
1
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 1 (*.f64 2 (/.f64 1 x)))
Outputs
(/.f64 -2 x)
(-.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 2 x))
(fma.f64 x -1 (/.f64 -2 x))
(-.f64 (/.f64 -2 x) x)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) (*.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -1 (*.f64 x x) (neg.f64 x)) (/.f64 2 x))
(fma.f64 -1 (fma.f64 x x x) (/.f64 -2 x))
(-.f64 (/.f64 -2 x) (fma.f64 x x x))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) (*.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) (neg.f64 x))) (/.f64 2 x))
(fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (fma.f64 x x x) (/.f64 -2 x)))
(-.f64 (-.f64 (/.f64 -2 x) (fma.f64 x x x)) (pow.f64 x 3))
(-.f64 (/.f64 -2 x) (fma.f64 x (fma.f64 x x x) x))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 -1 x)))
(-.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 x) 1))
(-.f64 1 (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x))
(+.f64 1 (-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 x))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 x))))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 -1 x)))
(-.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 x) 1))
(-.f64 1 (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x))
(+.f64 1 (-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 x))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 x))))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))))
(/.f64 -2 x)
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 1 (/.f64 2 x))
(+.f64 1 (/.f64 -2 x))
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 1 (/.f64 2 x))
(+.f64 1 (/.f64 -2 x))
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 1 (/.f64 2 x))
(+.f64 1 (/.f64 -2 x))
1
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 1 (/.f64 2 x))
(+.f64 1 (/.f64 -2 x))
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 1 (/.f64 2 x))
(+.f64 1 (/.f64 -2 x))
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 1 (/.f64 2 x))
(+.f64 1 (/.f64 -2 x))
1
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 1 (/.f64 2 x))
(+.f64 1 (/.f64 -2 x))
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 1 (/.f64 2 x))
(+.f64 1 (/.f64 -2 x))
(-.f64 1 (*.f64 2 (/.f64 1 x)))
(-.f64 1 (/.f64 2 x))
(+.f64 1 (/.f64 -2 x))

localize121.0ms (0.8%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.4b
(/.f64 1 (*.f64 x (+.f64 1 x)))
0.0b
(-.f64 x (*.f64 (+.f64 1 x) 2))
0.0b
(*.f64 x (+.f64 1 x))
0.0b
(/.f64 1 (-.f64 x 1))
0.0b
(-.f64 x (*.f64 (+.f64 1 x) 2))
0.4b
(/.f64 1 (*.f64 x (+.f64 1 x)))
6.7b
(+.f64 (*.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (/.f64 1 (*.f64 x (+.f64 1 x)))) (/.f64 1 (-.f64 x 1)))
15.4b
(*.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (/.f64 1 (*.f64 x (+.f64 1 x))))
Compiler

Compiled 75 to 55 computations (26.7% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite122.0ms (0.8%)

Algorithm
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
01347
131247
2476839
Stop Event
node limit
Counts
2 → 133
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)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 1 (fma.f64 x x x))) (*.f64 (*.f64 (+.f64 x 1) -2) (/.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 x x x)) x) (*.f64 (/.f64 1 (fma.f64 x x x)) (*.f64 (+.f64 x 1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x)))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 x x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (fma.f64 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x 2 2))) (fma.f64 x x x)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x 2 2))) 1) (/.f64 (sqrt.f64 (-.f64 x (fma.f64 x 2 2))) (fma.f64 x x x)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 x 1)) (/.f64 (-.f64 x (fma.f64 x 2 2)) x) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) x) (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x 2 2))) 2) (+.f64 x 1)) (/.f64 (cbrt.f64 (-.f64 x (fma.f64 x 2 2))) x) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2)) (/.f64 (-.f64 x (fma.f64 x 2 2)) (cbrt.f64 (fma.f64 x x x))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (fma.f64 x 2 2))) 2) (pow.f64 (cbrt.f64 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(sqrt.f64 (-.f64 x (fma.f64 x 2 2)))) (sqrt.f64 (-.f64 x (fma.f64 x 2 2))) (/.f64 1 (+.f64 x -1)))))))

simplify72.0ms (0.5%)

Algorithm
egg-herbie
Rules
656×fma-def_binary64
519×fma-neg_binary64
426×associate-/l/_binary64
407×cancel-sign-sub-inv_binary64
313×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
059401
1180388
2465385
31261384
43555384
Stop Event
node limit
Counts
157 → 160
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))))))
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 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 x) (-.f64 (*.f64 x x) (/.f64 2 x)))
(+.f64 (-.f64 (fma.f64 x x 1) x) (/.f64 -2 x))
(+.f64 1 (fma.f64 x x (-.f64 (/.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 (*.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 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x 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 (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x 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 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 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x 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 (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x 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 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 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 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 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)))))

localize39.0ms (0.3%)

Local error

Found 8 expressions with local error:

NewErrorProgram
29.7b
(fma.f64 (-.f64 -2 x) (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))
0.4b
(/.f64 1 (*.f64 x (+.f64 1 x)))
0.0b
(*.f64 x (+.f64 1 x))
0.0b
(/.f64 1 (+.f64 x -1))
0.0b
(/.f64 1 (+.f64 x -1))
0.0b
(*.f64 x (+.f64 1 x))
0.4b
(/.f64 1 (*.f64 x (+.f64 1 x)))
29.7b
(fma.f64 (-.f64 -2 x) (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))
Compiler

Compiled 47 to 34 computations (27.7% saved)

series5.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@0
(fma.f64 (-.f64 -2 x) (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))
1.0ms
x
@-inf
(fma.f64 (-.f64 -2 x) (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))
1.0ms
x
@inf
(fma.f64 (-.f64 -2 x) (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))
0.0ms
x
@-inf
(/.f64 1 (+.f64 x -1))
0.0ms
x
@inf
(/.f64 1 (+.f64 x -1))

rewrite80.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
569×log-prod_binary64
434×prod-diff_binary64
331×pow2_binary64
302×fma-def_binary64
230×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01230
127229
2367227
Stop Event
node limit
Counts
2 → 57
Calls
Call 1
Inputs
(fma.f64 (-.f64 -2 x) (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))
(/.f64 1 (+.f64 x -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 -2 x) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 -2 x) (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 -2 x) (fma.f64 x x x)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 -2 x) (fma.f64 x x x)) 1) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 -2 x) (fma.f64 x x x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 -2 x) (fma.f64 x x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 -2 x) (fma.f64 x x x)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 -2 x) (fma.f64 x x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 -2 x) (fma.f64 x x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 -2 x) (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 -2 x) (fma.f64 x x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 -2 x) (fma.f64 x x x)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 -2 x) (fma.f64 x x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 -2 x) (fma.f64 x x x)))) 2) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 -2 x) (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 -2 x) (fma.f64 x x x)))) (sqrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 -2 x) (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (-.f64 -2 x) (fma.f64 x x x)) 3) (pow.f64 (/.f64 1 (+.f64 x -1)) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 -2 x) (fma.f64 x x x)) 2) (-.f64 (pow.f64 (+.f64 x -1) -2) (*.f64 (/.f64 (-.f64 -2 x) (fma.f64 x x x)) (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (-.f64 -2 x) (fma.f64 x x x)) 2) (pow.f64 (+.f64 x -1) -2)) (-.f64 (/.f64 (-.f64 -2 x) (fma.f64 x x x)) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 -2 x) (fma.f64 x x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 -2 x) (fma.f64 x x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 -2 x) (fma.f64 x x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 -2 x) (fma.f64 x x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 -2 x) (fma.f64 x x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 -2 x) (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 -2 x) (fma.f64 x x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 1 (+.f64 x -1))) (exp.f64 (/.f64 (-.f64 -2 x) (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1)))) (exp.f64 (/.f64 (-.f64 -2 x) (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (-.f64 -2 x) (fma.f64 x x x))) (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 -2 x) (fma.f64 x x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 -2 x) (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 -2 x) (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 -2 x) (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 (-.f64 -2 x) (fma.f64 x x x)))) 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 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (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) (neg.f64 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 x -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (-.f64 1 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 1 (+.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))

simplify80.0ms (0.5%)

Algorithm
egg-herbie
Rules
713×fma-def_binary64
623×associate-/r*_binary64
380×associate-/l/_binary64
340×fma-neg_binary64
231×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
058396
1175382
2466377
31317373
44127373
Stop Event
node limit
Counts
81 → 85
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))))))
-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 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 (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 (/.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 9)) (/.f64 2 (pow.f64 x 7)))))
(+.f64 (/.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 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 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 9)) (/.f64 2 (pow.f64 x 7)))))
(+.f64 (/.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 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))))
-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 (pow.f64 x 3)) (/.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 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.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 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.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 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))

eval1.4s (9.5%)

Compiler

Compiled 36171 to 26624 computations (26.4% saved)

prune419.0ms (2.9%)

Pruning

24 alts after pruning (20 fresh and 4 done)

PrunedKeptTotal
New1069151084
Fresh10515
Picked011
Done336
Total1082241106
Error
0b
Counts
1106 → 24
Alt Table
Click to see full alt table
StatusErrorProgram
25.8b
(+.f64 (*.f64 (-.f64 -2 x) (/.f64 1 (*.f64 x (+.f64 1 x)))) (/.f64 1 (-.f64 x 1)))
25.2b
(/.f64 (+.f64 (fma.f64 x x x) (*.f64 (+.f64 x -1) (-.f64 x (fma.f64 x 2 2)))) (*.f64 (+.f64 x -1) (fma.f64 x x x)))
57.0b
(+.f64 1 (/.f64 -1 x))
31.7b
(/.f64 (/.f64 2 (*.f64 x x)) (+.f64 x -1))
31.9b
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
61.9b
1
31.7b
(/.f64 (/.f64 2 (pow.f64 x 2)) (+.f64 x -1))
32.1b
(/.f64 (/.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) x) (+.f64 x -1))
32.1b
(+.f64 (/.f64 2 (pow.f64 x 5)) (pow.f64 (/.f64 (cbrt.f64 2) x) 3))
9.7b
(+.f64 (+.f64 1 (/.f64 -2 x)) -1)
31.8b
(*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5)))
31.7b
(/.f64 (/.f64 (/.f64 2 x) x) (+.f64 x -1))
32.0b
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (*.f64 (*.f64 x x) x)))
29.8b
(fma.f64 (-.f64 -2 x) (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))
8.6b
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
32.1b
(-.f64 (/.f64 -2 x) x)
31.8b
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
31.1b
(/.f64 -2 x)
8.5b
(/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) x) (+.f64 x -1))
8.6b
(+.f64 (/.f64 (/.f64 (-.f64 -2 x) (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
15.6b
(/.f64 (/.f64 2 x) (+.f64 x -1))
32.3b
(/.f64 2 (pow.f64 x 3))
31.9b
(+.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)))))
57.0b
(+.f64 (/.f64 -1 x) -1)
Compiler

Compiled 539 to 406 computations (24.7% saved)

localize36.0ms (0.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
1.8b
(fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x)
0.0b
(/.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) x)
0.0b
(/.f64 (-.f64 -2 x) (+.f64 x 1))
0.0b
(/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) x) (+.f64 x -1))
0.0b
(/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) x) (+.f64 x -1))
0.0b
(/.f64 (-.f64 -2 x) (+.f64 x 1))
0.0b
(/.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) x)
1.8b
(fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x)
Compiler

Compiled 65 to 44 computations (32.3% saved)

series5.0ms (0%)

Counts
4 → 48
Calls

12 calls:

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

rewrite185.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
692×log-prod_binary64
500×prod-diff_binary64
310×log-div_binary64
261×fma-def_binary64
243×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01273
128073
2420773
Stop Event
node limit
Counts
4 → 230
Calls
Call 1
Inputs
(fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x)
(/.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) x)
(/.f64 (-.f64 -2 x) (+.f64 x 1))
(/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) x) (+.f64 x -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x))) (cbrt.f64 (exp.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x)) 2) (cbrt.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x)) (sqrt.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1)) 3) (pow.f64 x 3)) (fma.f64 (*.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1)) (*.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1)) (*.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1)) (neg.f64 (*.f64 x x))) (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (exp.f64 (*.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (*.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) x))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) x))))) (#(struct:change #<rule 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(+.f64 x 1)) (+.f64 x -1) x) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) x)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) x)) 1) (/.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) x)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) x) (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) x)) 2) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (/.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) (*.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) x)) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) x)) (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1))) (/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) x) (sqrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) (sqrt.f64 (+.f64 x -1))) (/.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) x)) 2) (sqrt.f64 (+.f64 x -1))) (/.f64 (cbrt.f64 (/.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) x)) (sqrt.f64 (+.f64 x -1))))))) 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(pow.f64 (+.f64 x -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) (*.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) (*.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) (*.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) (*.f64 x (+.f64 x -1)))) 1))))))

simplify101.0ms (0.7%)

Algorithm
egg-herbie
Rules
496×sub-neg_binary64
418×fma-def_binary64
323×fma-neg_binary64
279×distribute-neg-frac_binary64
274×distribute-rgt-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
083738
1270720
2781715
32140703
45368703
Stop Event
node limit
Counts
278 → 286
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 -2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 -2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(/.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)))))
-2
(-.f64 x 2)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) x) 2)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) 2)
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 1 (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 1 (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 1 (+.f64 (/.f64 1 x) (/.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))))))
Outputs
2
(+.f64 2 (*.f64 -2 x))
(fma.f64 -2 x 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 -2 x)))
(fma.f64 2 (*.f64 x x) (+.f64 2 (*.f64 -2 x)))
(fma.f64 2 (*.f64 x x) (fma.f64 -2 x 2))
(+.f64 2 (*.f64 x (fma.f64 2 x -2)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x x) (+.f64 2 (*.f64 -2 (+.f64 x (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x x) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) 2))
(+.f64 (fma.f64 -2 x 2) (*.f64 x (*.f64 x (fma.f64 -2 x 2))))
(*.f64 (fma.f64 x x 1) (fma.f64 -2 x 2))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (/.f64 (/.f64 -2 x) x))
(*.f64 (/.f64 1 x) (+.f64 2 (/.f64 -2 x)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))))
(-.f64 (/.f64 2 (pow.f64 x 3)) (-.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x)))
(-.f64 (/.f64 2 x) (-.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 (/.f64 -2 x) x)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (*.f64 (/.f64 1 x) (+.f64 2 (/.f64 -2 x))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 (/.f64 2 x) (+.f64 (-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 4))) (/.f64 (/.f64 -2 x) x)))
(+.f64 (/.f64 2 x) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 (/.f64 -2 x) x)) (/.f64 -2 (pow.f64 x 4))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 (/.f64 -2 x) x) (*.f64 (+.f64 (/.f64 -1 x) 1) (/.f64 2 (pow.f64 x 3)))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (/.f64 (/.f64 -2 x) x))
(*.f64 (/.f64 1 x) (+.f64 2 (/.f64 -2 x)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))))
(-.f64 (/.f64 2 (pow.f64 x 3)) (-.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x)))
(-.f64 (/.f64 2 x) (-.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 (/.f64 -2 x) x)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (*.f64 (/.f64 1 x) (+.f64 2 (/.f64 -2 x))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 (/.f64 2 x) (+.f64 (-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 4))) (/.f64 (/.f64 -2 x) x)))
(+.f64 (/.f64 2 x) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 (/.f64 -2 x) x)) (/.f64 -2 (pow.f64 x 4))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 (/.f64 -2 x) x) (*.f64 (+.f64 (/.f64 -1 x) 1) (/.f64 2 (pow.f64 x 3)))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) 2)
(+.f64 (/.f64 2 x) -2)
(+.f64 -2 (/.f64 2 x))
(-.f64 (+.f64 (*.f64 2 x) (*.f64 2 (/.f64 1 x))) 2)
(+.f64 (fma.f64 2 x (/.f64 2 x)) -2)
(+.f64 -2 (fma.f64 2 x (/.f64 2 x)))
(fma.f64 2 (+.f64 x (/.f64 1 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)
(+.f64 -2 (fma.f64 -2 (*.f64 x x) (fma.f64 2 x (/.f64 2 x))))
(+.f64 -2 (+.f64 (/.f64 2 x) (*.f64 x (fma.f64 -2 x 2))))
(+.f64 (/.f64 2 x) (fma.f64 x (fma.f64 -2 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 -2 (pow.f64 x 3)) (/.f64 (/.f64 -2 x) x))
(-.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 (/.f64 -2 (pow.f64 x 3)) (/.f64 (/.f64 -2 x) x)) (/.f64 -2 (pow.f64 x 4)))
(-.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 2 (pow.f64 x 4)) (-.f64 (/.f64 2 (*.f64 x x)) (+.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 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 5))) (/.f64 -2 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 (/.f64 -2 x) x)) (-.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 5))))
(/.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 -2 (pow.f64 x 3)) (/.f64 (/.f64 -2 x) x))
(-.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 (/.f64 -2 (pow.f64 x 3)) (/.f64 (/.f64 -2 x) x)) (/.f64 -2 (pow.f64 x 4)))
(-.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 2 (pow.f64 x 4)) (-.f64 (/.f64 2 (*.f64 x x)) (+.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 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 5))) (/.f64 -2 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 (/.f64 -2 x) x)) (-.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 5))))
-2
(-.f64 x 2)
(+.f64 x -2)
(+.f64 -2 x)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) x) 2)
(+.f64 (fma.f64 -1 (*.f64 x x) x) -2)
(+.f64 -2 (-.f64 x (*.f64 x x)))
(fma.f64 x (neg.f64 x) (+.f64 -2 x))
(-.f64 x (fma.f64 x x 2))
(fma.f64 (-.f64 1 x) x -2)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) 2)
(+.f64 (fma.f64 -1 (*.f64 x x) (+.f64 x (pow.f64 x 3))) -2)
(+.f64 -2 (+.f64 x (*.f64 (*.f64 x x) (+.f64 -1 x))))
(fma.f64 (*.f64 x x) (+.f64 x -1) (+.f64 -2 x))
(fma.f64 x (-.f64 (fma.f64 x x 1) x) -2)
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 1 (/.f64 1 x)))
(-.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 1 x)))
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 -1 (/.f64 -1 x)))
(-.f64 (/.f64 (/.f64 1 x) x) (+.f64 1 (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -1 x)))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 1 (/.f64 1 x))))
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 3))))
(+.f64 -1 (+.f64 (/.f64 -1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 1 (/.f64 1 x)))
(-.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 1 x)))
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 -1 (/.f64 -1 x)))
(-.f64 (/.f64 (/.f64 1 x) x) (+.f64 1 (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -1 x)))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 1 (/.f64 1 x))))
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 3))))
(+.f64 -1 (+.f64 (/.f64 -1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))))
(/.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 (+.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 3)) (/.f64 2 (pow.f64 x 5)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 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 3)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9))) (/.f64 2 (pow.f64 x 5))))
(+.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 3)) (/.f64 2 (pow.f64 x 5)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 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 3)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9))) (/.f64 2 (pow.f64 x 5))))
(+.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)))))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 11 to 7 computations (36.4% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite115.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
653×pow1_binary64
615×add-log-exp_binary64
615×log1p-expm1-u_binary64
615×expm1-log1p-u_binary64
603×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11187
216457
Stop Event
node limit
Counts
1 → 36
Calls
Call 1
Inputs
(-.f64 (/.f64 -2 x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2 x) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 -2 x) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 -2 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 -2 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 -2 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 -2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (/.f64 -2 x) x)) (pow.f64 (cbrt.f64 (-.f64 (/.f64 -2 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 -2 x) x)) 2) (cbrt.f64 (-.f64 (/.f64 -2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (/.f64 -2 x) x)) (sqrt.f64 (-.f64 (/.f64 -2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 -8 (pow.f64 x 3)) (pow.f64 x 3)) (/.f64 1 (+.f64 (/.f64 4 (*.f64 x x)) (*.f64 x (+.f64 x (/.f64 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 4 (*.f64 x x)) (*.f64 x x)) (/.f64 1 (+.f64 x (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (/.f64 -2 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (/.f64 -2 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 4 (*.f64 x x)) (*.f64 x (+.f64 x (/.f64 -2 x)))) (-.f64 (/.f64 -8 (pow.f64 x 3)) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 -2 x)) (-.f64 (/.f64 4 (*.f64 x x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 -8 (pow.f64 x 3)) (pow.f64 x 3)) (+.f64 (/.f64 4 (*.f64 x x)) (*.f64 x (+.f64 x (/.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 4 (*.f64 x x)) (*.f64 x x)) (+.f64 x (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 -8 (pow.f64 x 3)) (pow.f64 x 3))) (neg.f64 (+.f64 (/.f64 4 (*.f64 x x)) (*.f64 x (+.f64 x (/.f64 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 4 (*.f64 x x)) (*.f64 x x))) (neg.f64 (+.f64 x (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 -8 (pow.f64 x 3)) (pow.f64 (neg.f64 x) 3)) (+.f64 (/.f64 4 (*.f64 x x)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (/.f64 -2 x) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 4 (*.f64 x x)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (/.f64 -2 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 -2 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 -2 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (/.f64 -2 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (/.f64 -2 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (/.f64 -2 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (/.f64 -2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (/.f64 -2 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (/.f64 -2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (/.f64 -2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (/.f64 -2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (/.f64 1 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (cbrt.f64 (/.f64 -2 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2 x)) (sqrt.f64 (/.f64 -2 x)) (neg.f64 x))))))

simplify24.0ms (0.2%)

Algorithm
egg-herbie
Rules
61×fma-neg_binary64
36×associate-/l*_binary64
28×associate-/r*_binary64
27×fma-def_binary64
23×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01191
12482
24073
36873
412473
517673
626573
733373
840973
943073
1044873
Stop Event
saturated
Counts
48 → 41
Calls
Call 1
Inputs
(/.f64 -2 x)
(-.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x)))
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x)))
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x)))
Outputs
(/.f64 -2 x)
(-.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 2 x))
(fma.f64 x -1 (/.f64 -2 x))
(-.f64 (/.f64 -2 x) x)
(-.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 2 x))
(fma.f64 x -1 (/.f64 -2 x))
(-.f64 (/.f64 -2 x) x)
(-.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 2 x))
(fma.f64 x -1 (/.f64 -2 x))
(-.f64 (/.f64 -2 x) x)
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 2 x))
(fma.f64 x -1 (/.f64 -2 x))
(-.f64 (/.f64 -2 x) x)
(-.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 2 x))
(fma.f64 x -1 (/.f64 -2 x))
(-.f64 (/.f64 -2 x) x)
(-.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 2 x))
(fma.f64 x -1 (/.f64 -2 x))
(-.f64 (/.f64 -2 x) x)
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 2 x))
(fma.f64 x -1 (/.f64 -2 x))
(-.f64 (/.f64 -2 x) x)
(-.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 2 x))
(fma.f64 x -1 (/.f64 -2 x))
(-.f64 (/.f64 -2 x) x)
(-.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 2 x))
(fma.f64 x -1 (/.f64 -2 x))
(-.f64 (/.f64 -2 x) x)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 25 to 19 computations (24% saved)

series2.0ms (0%)

Counts
2 → 15
Calls

6 calls:

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

rewrite61.0ms (0.4%)

Algorithm
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
0914
120412
2252412
Stop Event
node limit
Counts
2 → 67
Calls
Call 1
Inputs
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 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))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 x) 1)))) (#(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 pow.f64 (/.f64 8 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 8 (pow.f64 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)))))))

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0760
1860
Stop Event
saturated
Counts
82 → 69
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)
(/.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)
(/.f64 2 x)
(/.f64 2 x)
(/.f64 2 x)

localize21.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.5b
(/.f64 -2 (*.f64 x x))
0.1b
(/.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) x)
0.0b
(/.f64 (/.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) x) (+.f64 x -1))
0.0b
(+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))
0.0b
(+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))
0.0b
(/.f64 (/.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) x) (+.f64 x -1))
0.1b
(/.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) x)
0.5b
(/.f64 -2 (*.f64 x x))
Compiler

Compiled 54 to 31 computations (42.6% saved)

series7.0ms (0%)

Counts
4 → 48
Calls

12 calls:

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

rewrite166.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
688×log-prod_binary64
456×fma-def_binary64
384×log-div_binary64
286×fma-neg_binary64
247×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01258
128652
2442352
Stop Event
node limit
Counts
4 → 186
Calls
Call 1
Inputs
(/.f64 -2 (*.f64 x x))
(/.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) x)
(/.f64 (/.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) x) (+.f64 x -1))
(+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2))) (cbrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -2 (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 -2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -2) x) (/.f64 (sqrt.f64 -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -8 (pow.f64 (pow.f64 x -2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -8 (pow.f64 (pow.f64 x -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -2 (pow.f64 x -2))) 1))))))
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x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x (neg.f64 x) (*.f64 (*.f64 x 1/2) 2)) (*.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -2 (*.f64 (*.f64 x x) -1/2) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 2 (*.f64 (*.f64 x x) -1/2) x) (*.f64 x (*.f64 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 x x) -1/2 (*.f64 (*.f64 x 1/2) 1)) (*.f64 (*.f64 x 1/2) (*.f64 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -2 x (*.f64 (neg.f64 x) (/.f64 -2 x))) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 2 x (*.f64 x (/.f64 -2 x))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 (*.f64 x 1/2) (/.f64 -2 x))) (*.f64 (*.f64 x 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 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(pow.f64 x -2)))) (exp.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2)) (+.f64 1 (expm1.f64 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 x -2)))) (+.f64 1 (expm1.f64 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2 x))) (pow.f64 (exp.f64 -2) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 2 x)) (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 2 x))) (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -2 (pow.f64 x -2) (/.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -2 (pow.f64 x -2) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 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-2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) (/.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 -2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2) (cbrt.f64 (/.f64 2 x)) (*.f64 -2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 -2) x) (/.f64 (sqrt.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 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 2 (*.f64 -2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -2) -2 (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2 x) (/.f64 1 x) (/.f64 2 x))))))

simplify78.0ms (0.5%)

Algorithm
egg-herbie
Rules
560×times-frac_binary64
536×unswap-sqr_binary64
467×associate-/l/_binary64
467×distribute-neg-frac_binary64
460×associate-/r*_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
021465
153465
2108465
3265465
4956465
55029438
Stop Event
node limit
Counts
234 → 197
Calls
Call 1
Inputs
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (pow.f64 x 3))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.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 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.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 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 -2 (pow.f64 x 2))
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
Outputs
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(/.f64 -2 (pow.f64 x 3))
(-.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 1 (*.f64 x x)) (+.f64 2 (/.f64 -2 x)))
(/.f64 (+.f64 2 (/.f64 -2 x)) (*.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 1 (*.f64 x x)) (+.f64 2 (/.f64 -2 x)))
(/.f64 (+.f64 2 (/.f64 -2 x)) (*.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 1 (*.f64 x x)) (+.f64 2 (/.f64 -2 x)))
(/.f64 (+.f64 2 (/.f64 -2 x)) (*.f64 x x))
(/.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 1 (*.f64 x x)) (+.f64 2 (/.f64 -2 x)))
(/.f64 (+.f64 2 (/.f64 -2 x)) (*.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 1 (*.f64 x x)) (+.f64 2 (/.f64 -2 x)))
(/.f64 (+.f64 2 (/.f64 -2 x)) (*.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 1 (*.f64 x x)) (+.f64 2 (/.f64 -2 x)))
(/.f64 (+.f64 2 (/.f64 -2 x)) (*.f64 x x))
(/.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 1 (*.f64 x x)) (+.f64 2 (/.f64 -2 x)))
(/.f64 (+.f64 2 (/.f64 -2 x)) (*.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 1 (*.f64 x x)) (+.f64 2 (/.f64 -2 x)))
(/.f64 (+.f64 2 (/.f64 -2 x)) (*.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 1 (*.f64 x x)) (+.f64 2 (/.f64 -2 x)))
(/.f64 (+.f64 2 (/.f64 -2 x)) (*.f64 x x))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 -2 (pow.f64 x 2))
(/.f64 -2 (*.f64 x x))
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 x))
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 x))
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 x))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 x))
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 x))
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 x))
(/.f64 2 x)
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 x))
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 x))
(-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 -2 x))

localize20.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(/.f64 2 (*.f64 (*.f64 x x) x))
0.1b
(*.f64 (*.f64 x x) x)
0.1b
(/.f64 2 (pow.f64 x 5))
0.0b
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (*.f64 (*.f64 x x) x)))
0.0b
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (*.f64 (*.f64 x x) x)))
0.1b
(/.f64 2 (pow.f64 x 5))
0.1b
(*.f64 (*.f64 x x) x)
0.2b
(/.f64 2 (*.f64 (*.f64 x x) x))
Compiler

Compiled 40 to 20 computations (50% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(*.f64 (*.f64 x x) x)
0.0ms
x
@0
(/.f64 2 (*.f64 (*.f64 x x) x))
0.0ms
x
@inf
(*.f64 (*.f64 x x) x)
0.0ms
x
@-inf
(/.f64 2 (*.f64 (*.f64 x x) x))
0.0ms
x
@inf
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (*.f64 (*.f64 x x) x)))

rewrite87.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
954×prod-diff_binary64
507×log-prod_binary64
333×fma-def_binary64
216×log-div_binary64
198×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01027
123224
2329624
Stop Event
node limit
Counts
3 → 128
Calls
Call 1
Inputs
(/.f64 2 (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 x x) x)
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (*.f64 (*.f64 x x) x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (pow.f64 x -3))) (cbrt.f64 (pow.f64 (exp.f64 2) (pow.f64 x -3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (pow.f64 x -3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.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) (cbrt.f64 (/.f64 4 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 6))) (/.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 *.f64 (/.f64 2 (*.f64 x x)) (/.f64 1 x))))) (#(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 (/.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 8 (pow.f64 (pow.f64 x -3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (pow.f64 x 3) 1/2) 1) -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 log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 8 (pow.f64 (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 exp.f64 (*.f64 (log.f64 (*.f64 2 (pow.f64 x -3))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))) (cbrt.f64 (exp.f64 (pow.f64 x 3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3/2) 2)))) (#(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 log.f64 (+.f64 1 (expm1.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)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 4 (pow.f64 x 10)) (*.f64 2 (-.f64 (pow.f64 x -5) (pow.f64 x -3)))) (/.f64 (/.f64 4 (pow.f64 x 6)) (*.f64 2 (-.f64 (pow.f64 x -5) (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (pow.f64 x -5) (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5)))) (pow.f64 (cbrt.f64 (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x 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((x /.f64 (fma.f64 2 (*.f64 (pow.f64 x 5) 1/2) (pow.f64 x 3)) (*.f64 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 5) 1/2 (*.f64 (*.f64 (pow.f64 x 3) 1/2) 1)) (*.f64 (*.f64 (pow.f64 x 3) 1/2) (*.f64 (pow.f64 x 5) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -2 (*.f64 (pow.f64 x 5) 1/2) (*.f64 (neg.f64 (pow.f64 x 3)) 1)) (*.f64 (neg.f64 (pow.f64 x 3)) (*.f64 (pow.f64 x 5) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (/.f64 2 (*.f64 x x)) (*.f64 (pow.f64 x 5) 1/2) x) (*.f64 x (*.f64 (pow.f64 x 5) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 2 (neg.f64 (pow.f64 x 5)) (*.f64 (pow.f64 x 3) -2)) (*.f64 (pow.f64 x 3) (neg.f64 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 (pow.f64 x 5) (*.f64 (*.f64 (pow.f64 x 3) 1/2) -2)) (*.f64 (*.f64 (pow.f64 x 3) 1/2) (neg.f64 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -2 (neg.f64 (pow.f64 x 5)) (*.f64 (neg.f64 (pow.f64 x 3)) -2)) (*.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (/.f64 2 (*.f64 x x)) (neg.f64 (pow.f64 x 5)) (*.f64 x -2)) (*.f64 x (neg.f64 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 (*.f64 (pow.f64 x 5) 1/2) 2)) (*.f64 (*.f64 (pow.f64 x 5) 1/2) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -2 (pow.f64 x 3) (*.f64 (neg.f64 (pow.f64 x 5)) 2)) (*.f64 (neg.f64 (pow.f64 x 5)) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 2 (*.f64 (pow.f64 x 3) 1/2) (pow.f64 x 5)) (*.f64 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 1/2 (*.f64 (*.f64 (pow.f64 x 5) 1/2) 1)) (*.f64 (*.f64 (pow.f64 x 5) 1/2) (*.f64 (pow.f64 x 3) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -2 (*.f64 (pow.f64 x 3) 1/2) (*.f64 (neg.f64 (pow.f64 x 5)) 1)) (*.f64 (neg.f64 (pow.f64 x 5)) (*.f64 (pow.f64 x 3) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 2 (neg.f64 (pow.f64 x 3)) (*.f64 (pow.f64 x 5) -2)) (*.f64 (pow.f64 x 5) (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 (pow.f64 x 3) (*.f64 (*.f64 (pow.f64 x 5) 1/2) -2)) (*.f64 (*.f64 (pow.f64 x 5) 1/2) (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -2 (neg.f64 (pow.f64 x 3)) (*.f64 (neg.f64 (pow.f64 x 5)) -2)) (*.f64 (neg.f64 (pow.f64 x 5)) (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 2 x (*.f64 (pow.f64 x 5) (/.f64 2 (*.f64 x x)))) (*.f64 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 (*.f64 (pow.f64 x 5) 1/2) (/.f64 2 (*.f64 x x)))) (*.f64 (*.f64 (pow.f64 x 5) 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -2 x (*.f64 (neg.f64 (pow.f64 x 5)) (/.f64 2 (*.f64 x x)))) (*.f64 (neg.f64 (pow.f64 x 5)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 4 (pow.f64 x 6)) (/.f64 4 (pow.f64 x 10))) (-.f64 (*.f64 2 (pow.f64 x -3)) (*.f64 2 (pow.f64 x -5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 2 (pow.f64 x 5) (*.f64 2 (pow.f64 x 3))) (pow.f64 x 5)) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 8) (fma.f64 2 (pow.f64 x 5) (*.f64 2 (pow.f64 x 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (+.f64 (/.f64 4 (pow.f64 x 10)) (/.f64 4 (pow.f64 x 6))) (/.f64 4 (pow.f64 x 8))) (fma.f64 8 (pow.f64 (pow.f64 x -3) 3) (*.f64 8 (pow.f64 (pow.f64 x -5) 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 2 (-.f64 (pow.f64 x -5) (pow.f64 x -3))) (-.f64 (/.f64 4 (pow.f64 x 10)) (/.f64 4 (pow.f64 x 6)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2 (pow.f64 x -3)))) (pow.f64 (exp.f64 2) (pow.f64 x -5))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 2) (pow.f64 x -3)) (+.f64 1 (expm1.f64 (*.f64 2 (pow.f64 x -5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2 (pow.f64 x -3)))) (+.f64 1 (expm1.f64 (*.f64 2 (pow.f64 x -5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2 (pow.f64 x -5)))) (pow.f64 (exp.f64 2) (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 2) (pow.f64 x -5)) (+.f64 1 (expm1.f64 (*.f64 2 (pow.f64 x -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2 (pow.f64 x -5)))) (+.f64 1 (expm1.f64 (*.f64 2 (pow.f64 x -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (pow.f64 x -5) (*.f64 2 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (pow.f64 x -3) (*.f64 2 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (pow.f64 x -3)) 1 (*.f64 2 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (pow.f64 x -5)) 1 (*.f64 2 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2 (pow.f64 x -3)) (*.f64 2 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2 (pow.f64 x -5)) (*.f64 2 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -5))) (cbrt.f64 (/.f64 4 (pow.f64 x 10))) (*.f64 2 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 10))) (cbrt.f64 (*.f64 2 (pow.f64 x -5))) (*.f64 2 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 2) x) (cbrt.f64 (/.f64 4 (pow.f64 x 6))) (*.f64 2 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 6))) (/.f64 (cbrt.f64 2) x) (*.f64 2 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 2) (pow.f64 x 5/2)) (/.f64 (sqrt.f64 2) (pow.f64 x 5/2)) (*.f64 2 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 2) (pow.f64 x 3/2)) (/.f64 (sqrt.f64 2) (pow.f64 x 3/2)) (*.f64 2 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (/.f64 1 (neg.f64 (pow.f64 x 5))) (*.f64 2 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (/.f64 1 (neg.f64 (pow.f64 x 3))) (*.f64 2 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -5) 2 (*.f64 2 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -3) 2 (*.f64 2 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (*.f64 x x)) (/.f64 1 x) (*.f64 2 (pow.f64 x -5)))))))

simplify123.0ms (0.8%)

Algorithm
egg-herbie
Rules
1197×associate-/r/_binary64
724×unswap-sqr_binary64
503×associate-/l/_binary64
500×sqr-pow_binary64
499×associate-/r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015297
135297
268297
3121297
4269297
5876297
63967297
75374297
85625297
96208297
106537297
117044297
Stop Event
node limit
Counts
164 → 132
Calls
Call 1
Inputs
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(/.f64 2 (pow.f64 x 5))
(+.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 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(/.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 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(/.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 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
Outputs
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(/.f64 2 (pow.f64 x 5))
(+.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 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 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(/.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 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 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(/.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 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 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))

eval928.0ms (6.4%)

Compiler

Compiled 18210 to 13242 computations (27.3% saved)

prune348.0ms (2.4%)

Pruning

27 alts after pruning (20 fresh and 7 done)

PrunedKeptTotal
New73813751
Fresh8715
Picked011
Done268
Total74827775
Error
0b
Counts
775 → 27
Alt Table
Click to see full alt table
StatusErrorProgram
31.7b
(/.f64 (/.f64 2 (*.f64 x x)) (+.f64 x -1))
25.2b
(/.f64 (+.f64 (fma.f64 x x x) (*.f64 (+.f64 x -1) (-.f64 x (fma.f64 x 2 2)))) (*.f64 (+.f64 x -1) (fma.f64 x x x)))
8.6b
(/.f64 (/.f64 (+.f64 x (*.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1))) x) (+.f64 x -1))
25.8b
(+.f64 (*.f64 (-.f64 -2 x) (/.f64 1 (*.f64 x (+.f64 1 x)))) (/.f64 1 (-.f64 x 1)))
57.0b
(+.f64 1 (/.f64 -1 x))
49.1b
(/.f64 (/.f64 (/.f64 (/.f64 (fma.f64 -2 x (*.f64 (*.f64 x x) 2)) x) (*.f64 x x)) x) (+.f64 x -1))
31.9b
(+.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)))))
31.7b
(/.f64 (/.f64 (/.f64 2 x) x) (+.f64 x -1))
31.9b
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
32.1b
(/.f64 (/.f64 (+.f64 2 (/.f64 -2 x)) (*.f64 x x)) (+.f64 x -1))
61.9b
1
9.7b
(+.f64 (+.f64 1 (/.f64 -2 x)) -1)
62.1b
(neg.f64 x)
29.8b
(fma.f64 (-.f64 -2 x) (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))
8.6b
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
32.1b
(-.f64 (/.f64 -2 x) x)
15.6b
(/.f64 (/.f64 2 x) (+.f64 x -1))
31.1b
(/.f64 -2 x)
31.8b
(*.f64 2 (+.f64 (pow.f64 x -5) (pow.f64 x -3)))
32.1b
(+.f64 (/.f64 2 (pow.f64 x 5)) (pow.f64 (/.f64 (cbrt.f64 2) x) 3))
8.5b
(/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) x) (+.f64 x -1))
8.6b
(+.f64 (/.f64 (/.f64 (-.f64 -2 x) (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
57.0b
(+.f64 (/.f64 -1 x) -1)
31.8b
(-.f64 (*.f64 -2 x) (/.f64 2 x))
32.3b
(/.f64 2 (pow.f64 x 3))
49.2b
(/.f64 (/.f64 (/.f64 (+.f64 x (*.f64 (*.f64 (*.f64 x x) -1/2) 2)) (*.f64 (*.f64 (*.f64 x x) -1/2) x)) x) (+.f64 x -1))
32.0b
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (*.f64 (*.f64 x x) x)))
Compiler

Compiled 346 to 253 computations (26.9% saved)

regimes373.0ms (2.6%)

Counts
61 → 3
Calls
Call 1
Inputs
1
(neg.f64 x)
(/.f64 -2 x)
(+.f64 1 (/.f64 -1 x))
(-.f64 (/.f64 -2 x) x)
(+.f64 (/.f64 -1 x) -1)
(/.f64 (/.f64 2 x) (+.f64 x -1))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(+.f64 (+.f64 1 (/.f64 -2 x)) -1)
(/.f64 (/.f64 2 x) (+.f64 x -1))
(+.f64 (+.f64 1 (/.f64 -2 x)) -1)
(/.f64 (/.f64 2 (*.f64 x x)) (+.f64 x -1))
(/.f64 (/.f64 (/.f64 2 x) x) (+.f64 x -1))
(/.f64 (/.f64 2 (*.f64 x x)) (+.f64 x -1))
(/.f64 (/.f64 (/.f64 2 x) x) (+.f64 x -1))
(+.f64 (/.f64 -1 x) (/.f64 1 (-.f64 x 1)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 -1 x) (/.f64 1 (-.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 2 (/.f64 -2 x)) (*.f64 x x)) (+.f64 x -1))
(+.f64 (/.f64 (/.f64 -2 (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
(/.f64 (/.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) x) (+.f64 x -1))
(+.f64 (/.f64 (/.f64 (-.f64 -2 x) (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(+.f64 (*.f64 (-.f64 -2 x) (/.f64 1 (*.f64 x (+.f64 1 x)))) (/.f64 1 (-.f64 x 1)))
(/.f64 (/.f64 (+.f64 x (*.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1))) x) (+.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 (-.f64 x (*.f64 (+.f64 1 x) 2)) (+.f64 1 x)) 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 (/.f64 (+.f64 x (*.f64 (*.f64 (*.f64 x x) -1/2) 2)) (*.f64 (*.f64 (*.f64 x x) -1/2) x)) x) (+.f64 x -1))
(+.f64 (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 x 1) -2) (*.f64 (+.f64 x 1) -2))) (-.f64 x (*.f64 (+.f64 x 1) -2))) (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 (/.f64 2 (pow.f64 x 2)) (+.f64 x -1))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (*.f64 (*.f64 x x) x)))
(fma.f64 (-.f64 -2 x) (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))
(/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) x) (+.f64 x -1))
(/.f64 (/.f64 (/.f64 (/.f64 (fma.f64 -2 x (*.f64 (*.f64 x x) 2)) x) (*.f64 x x)) x) (+.f64 x -1))
(fma.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))
(fma.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (*.f64 (/.f64 (/.f64 1 x) (-.f64 1 (*.f64 x 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 (pow.f64 (+.f64 1 x) -2) (*.f64 (-.f64 (/.f64 2 x) (/.f64 1 (+.f64 x -1))) (-.f64 (/.f64 2 x) (/.f64 1 (+.f64 x -1))))) (+.f64 (/.f64 1 (+.f64 1 x)) (-.f64 (/.f64 2 x) (/.f64 1 (+.f64 x -1)))))
(*.f64 2 (+.f64 (pow.f64 x -5) (pow.f64 x -3)))
(*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5)))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1) x) x) (+.f64 x -1))
(+.f64 (/.f64 2 (pow.f64 x 5)) (pow.f64 (/.f64 (cbrt.f64 2) x) 3))
(+.f64 (/.f64 2 (pow.f64 x 5)) (pow.f64 (/.f64 (cbrt.f64 2) 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 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(/.f64 (+.f64 (fma.f64 x x x) (*.f64 (+.f64 x -1) (-.f64 x (fma.f64 x 2 2)))) (*.f64 (+.f64 x -1) (fma.f64 x x x)))
(/.f64 (+.f64 (fma.f64 x x x) (*.f64 (+.f64 x -1) (-.f64 x (fma.f64 x 2 2)))) (*.f64 (+.f64 x -1) (fma.f64 x x x)))
(/.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))))
(+.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 (/.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 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
Outputs
(/.f64 (+.f64 (fma.f64 x x x) (*.f64 (+.f64 x -1) (-.f64 x (fma.f64 x 2 2)))) (*.f64 (+.f64 x -1) (fma.f64 x x x)))
(*.f64 2 (+.f64 (pow.f64 x -5) (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))))
Calls

3 calls:

140.0ms
x
83.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
70.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Results
ErrorSegmentsBranch
0.0b3x
0.0b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
0.0b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 901 to 655 computations (27.3% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.4908565367494e-13
4.091498319704415e-8
0.0ms
-2.605017724970071e-10
-5e-324
Compiler

Compiled 20 to 16 computations (20% saved)

regimes308.0ms (2.1%)

Counts
57 → 3
Calls
Call 1
Inputs
1
(neg.f64 x)
(/.f64 -2 x)
(+.f64 1 (/.f64 -1 x))
(-.f64 (/.f64 -2 x) x)
(+.f64 (/.f64 -1 x) -1)
(/.f64 (/.f64 2 x) (+.f64 x -1))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(+.f64 (+.f64 1 (/.f64 -2 x)) -1)
(/.f64 (/.f64 2 x) (+.f64 x -1))
(+.f64 (+.f64 1 (/.f64 -2 x)) -1)
(/.f64 (/.f64 2 (*.f64 x x)) (+.f64 x -1))
(/.f64 (/.f64 (/.f64 2 x) x) (+.f64 x -1))
(/.f64 (/.f64 2 (*.f64 x x)) (+.f64 x -1))
(/.f64 (/.f64 (/.f64 2 x) x) (+.f64 x -1))
(+.f64 (/.f64 -1 x) (/.f64 1 (-.f64 x 1)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 -1 x) (/.f64 1 (-.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 2 (/.f64 -2 x)) (*.f64 x x)) (+.f64 x -1))
(+.f64 (/.f64 (/.f64 -2 (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
(/.f64 (/.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) x) (+.f64 x -1))
(+.f64 (/.f64 (/.f64 (-.f64 -2 x) (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(+.f64 (*.f64 (-.f64 -2 x) (/.f64 1 (*.f64 x (+.f64 1 x)))) (/.f64 1 (-.f64 x 1)))
(/.f64 (/.f64 (+.f64 x (*.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1))) x) (+.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 (-.f64 x (*.f64 (+.f64 1 x) 2)) (+.f64 1 x)) 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 (/.f64 (+.f64 x (*.f64 (*.f64 (*.f64 x x) -1/2) 2)) (*.f64 (*.f64 (*.f64 x x) -1/2) x)) x) (+.f64 x -1))
(+.f64 (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 x 1) -2) (*.f64 (+.f64 x 1) -2))) (-.f64 x (*.f64 (+.f64 x 1) -2))) (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 (/.f64 2 (pow.f64 x 2)) (+.f64 x -1))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (*.f64 (*.f64 x x) x)))
(fma.f64 (-.f64 -2 x) (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))
(/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) x) (+.f64 x -1))
(/.f64 (/.f64 (/.f64 (/.f64 (fma.f64 -2 x (*.f64 (*.f64 x x) 2)) x) (*.f64 x x)) x) (+.f64 x -1))
(fma.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))
(fma.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (*.f64 (/.f64 (/.f64 1 x) (-.f64 1 (*.f64 x 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 (pow.f64 (+.f64 1 x) -2) (*.f64 (-.f64 (/.f64 2 x) (/.f64 1 (+.f64 x -1))) (-.f64 (/.f64 2 x) (/.f64 1 (+.f64 x -1))))) (+.f64 (/.f64 1 (+.f64 1 x)) (-.f64 (/.f64 2 x) (/.f64 1 (+.f64 x -1)))))
(*.f64 2 (+.f64 (pow.f64 x -5) (pow.f64 x -3)))
(*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5)))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1) x) x) (+.f64 x -1))
(+.f64 (/.f64 2 (pow.f64 x 5)) (pow.f64 (/.f64 (cbrt.f64 2) x) 3))
(+.f64 (/.f64 2 (pow.f64 x 5)) (pow.f64 (/.f64 (cbrt.f64 2) 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 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(/.f64 (+.f64 (fma.f64 x x x) (*.f64 (+.f64 x -1) (-.f64 x (fma.f64 x 2 2)))) (*.f64 (+.f64 x -1) (fma.f64 x x x)))
(/.f64 (+.f64 (fma.f64 x x x) (*.f64 (+.f64 x -1) (-.f64 x (fma.f64 x 2 2)))) (*.f64 (+.f64 x -1) (fma.f64 x x x)))
Outputs
(/.f64 (+.f64 (fma.f64 x x x) (*.f64 (+.f64 x -1) (-.f64 x (fma.f64 x 2 2)))) (*.f64 (+.f64 x -1) (fma.f64 x x x)))
(*.f64 2 (+.f64 (pow.f64 x -5) (pow.f64 x -3)))
(/.f64 (+.f64 (fma.f64 x x x) (*.f64 (+.f64 x -1) (-.f64 x (fma.f64 x 2 2)))) (*.f64 (+.f64 x -1) (fma.f64 x x x)))
Calls

3 calls:

108.0ms
x
78.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
48.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Results
ErrorSegmentsBranch
0.0b3x
0.0b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
0.0b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 802 to 576 computations (28.2% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.4908565367494e-13
4.091498319704415e-8
0.0ms
-2.605017724970071e-10
-5e-324
Compiler

Compiled 20 to 16 computations (20% saved)

regimes273.0ms (1.9%)

Counts
55 → 3
Calls
Call 1
Inputs
1
(neg.f64 x)
(/.f64 -2 x)
(+.f64 1 (/.f64 -1 x))
(-.f64 (/.f64 -2 x) x)
(+.f64 (/.f64 -1 x) -1)
(/.f64 (/.f64 2 x) (+.f64 x -1))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(+.f64 (+.f64 1 (/.f64 -2 x)) -1)
(/.f64 (/.f64 2 x) (+.f64 x -1))
(+.f64 (+.f64 1 (/.f64 -2 x)) -1)
(/.f64 (/.f64 2 (*.f64 x x)) (+.f64 x -1))
(/.f64 (/.f64 (/.f64 2 x) x) (+.f64 x -1))
(/.f64 (/.f64 2 (*.f64 x x)) (+.f64 x -1))
(/.f64 (/.f64 (/.f64 2 x) x) (+.f64 x -1))
(+.f64 (/.f64 -1 x) (/.f64 1 (-.f64 x 1)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 -1 x) (/.f64 1 (-.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 2 (/.f64 -2 x)) (*.f64 x x)) (+.f64 x -1))
(+.f64 (/.f64 (/.f64 -2 (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
(/.f64 (/.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) x) (+.f64 x -1))
(+.f64 (/.f64 (/.f64 (-.f64 -2 x) (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(+.f64 (*.f64 (-.f64 -2 x) (/.f64 1 (*.f64 x (+.f64 1 x)))) (/.f64 1 (-.f64 x 1)))
(/.f64 (/.f64 (+.f64 x (*.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1))) x) (+.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 (-.f64 x (*.f64 (+.f64 1 x) 2)) (+.f64 1 x)) 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 (/.f64 (+.f64 x (*.f64 (*.f64 (*.f64 x x) -1/2) 2)) (*.f64 (*.f64 (*.f64 x x) -1/2) x)) x) (+.f64 x -1))
(+.f64 (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 x 1) -2) (*.f64 (+.f64 x 1) -2))) (-.f64 x (*.f64 (+.f64 x 1) -2))) (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 (/.f64 2 (pow.f64 x 2)) (+.f64 x -1))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (*.f64 (*.f64 x x) x)))
(fma.f64 (-.f64 -2 x) (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))
(/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) x) (+.f64 x -1))
(/.f64 (/.f64 (/.f64 (/.f64 (fma.f64 -2 x (*.f64 (*.f64 x x) 2)) x) (*.f64 x x)) x) (+.f64 x -1))
(fma.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))
(fma.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (*.f64 (/.f64 (/.f64 1 x) (-.f64 1 (*.f64 x 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 (pow.f64 (+.f64 1 x) -2) (*.f64 (-.f64 (/.f64 2 x) (/.f64 1 (+.f64 x -1))) (-.f64 (/.f64 2 x) (/.f64 1 (+.f64 x -1))))) (+.f64 (/.f64 1 (+.f64 1 x)) (-.f64 (/.f64 2 x) (/.f64 1 (+.f64 x -1)))))
(*.f64 2 (+.f64 (pow.f64 x -5) (pow.f64 x -3)))
(*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5)))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1) x) x) (+.f64 x -1))
(+.f64 (/.f64 2 (pow.f64 x 5)) (pow.f64 (/.f64 (cbrt.f64 2) x) 3))
(+.f64 (/.f64 2 (pow.f64 x 5)) (pow.f64 (/.f64 (cbrt.f64 2) 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 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
Outputs
(*.f64 2 (+.f64 (pow.f64 x -5) (pow.f64 x -3)))
(/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1) x) x) (+.f64 x -1))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
Calls

3 calls:

134.0ms
x
43.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
41.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Results
ErrorSegmentsBranch
0.1b3x
0.1b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
0.1b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 754 to 551 computations (26.9% saved)

bsearch46.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
22.0ms
0.05591673386039308
365.63712801122784
23.0ms
-1972.7549491055456
-0.00011080884447464216
Compiler

Compiled 20 to 16 computations (20% saved)

regimes256.0ms (1.8%)

Counts
53 → 3
Calls
Call 1
Inputs
1
(neg.f64 x)
(/.f64 -2 x)
(+.f64 1 (/.f64 -1 x))
(-.f64 (/.f64 -2 x) x)
(+.f64 (/.f64 -1 x) -1)
(/.f64 (/.f64 2 x) (+.f64 x -1))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(+.f64 (+.f64 1 (/.f64 -2 x)) -1)
(/.f64 (/.f64 2 x) (+.f64 x -1))
(+.f64 (+.f64 1 (/.f64 -2 x)) -1)
(/.f64 (/.f64 2 (*.f64 x x)) (+.f64 x -1))
(/.f64 (/.f64 (/.f64 2 x) x) (+.f64 x -1))
(/.f64 (/.f64 2 (*.f64 x x)) (+.f64 x -1))
(/.f64 (/.f64 (/.f64 2 x) x) (+.f64 x -1))
(+.f64 (/.f64 -1 x) (/.f64 1 (-.f64 x 1)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 -1 x) (/.f64 1 (-.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 2 (/.f64 -2 x)) (*.f64 x x)) (+.f64 x -1))
(+.f64 (/.f64 (/.f64 -2 (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
(/.f64 (/.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) x) (+.f64 x -1))
(+.f64 (/.f64 (/.f64 (-.f64 -2 x) (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(+.f64 (*.f64 (-.f64 -2 x) (/.f64 1 (*.f64 x (+.f64 1 x)))) (/.f64 1 (-.f64 x 1)))
(/.f64 (/.f64 (+.f64 x (*.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1))) x) (+.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 (-.f64 x (*.f64 (+.f64 1 x) 2)) (+.f64 1 x)) 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 (/.f64 (+.f64 x (*.f64 (*.f64 (*.f64 x x) -1/2) 2)) (*.f64 (*.f64 (*.f64 x x) -1/2) x)) x) (+.f64 x -1))
(+.f64 (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 x 1) -2) (*.f64 (+.f64 x 1) -2))) (-.f64 x (*.f64 (+.f64 x 1) -2))) (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 (/.f64 2 (pow.f64 x 2)) (+.f64 x -1))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (*.f64 (*.f64 x x) x)))
(fma.f64 (-.f64 -2 x) (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))
(/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) x) (+.f64 x -1))
(/.f64 (/.f64 (/.f64 (/.f64 (fma.f64 -2 x (*.f64 (*.f64 x x) 2)) x) (*.f64 x x)) x) (+.f64 x -1))
(fma.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))
(fma.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (*.f64 (/.f64 (/.f64 1 x) (-.f64 1 (*.f64 x 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 (pow.f64 (+.f64 1 x) -2) (*.f64 (-.f64 (/.f64 2 x) (/.f64 1 (+.f64 x -1))) (-.f64 (/.f64 2 x) (/.f64 1 (+.f64 x -1))))) (+.f64 (/.f64 1 (+.f64 1 x)) (-.f64 (/.f64 2 x) (/.f64 1 (+.f64 x -1)))))
(*.f64 2 (+.f64 (pow.f64 x -5) (pow.f64 x -3)))
(*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5)))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1) x) x) (+.f64 x -1))
(+.f64 (/.f64 2 (pow.f64 x 5)) (pow.f64 (/.f64 (cbrt.f64 2) x) 3))
(+.f64 (/.f64 2 (pow.f64 x 5)) (pow.f64 (/.f64 (cbrt.f64 2) x) 3))
Outputs
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(*.f64 2 (+.f64 (pow.f64 x -5) (pow.f64 x -3)))
(/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1) x) x) (+.f64 x -1))
Calls

3 calls:

122.0ms
x
72.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
42.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Results
ErrorSegmentsBranch
0.1b3x
0.1b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
0.1b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 720 to 523 computations (27.4% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.4908565367494e-13
4.091498319704415e-8
0.0ms
-35.87965242847439
-2.605017724970071e-10
Compiler

Compiled 20 to 16 computations (20% saved)

regimes272.0ms (1.9%)

Counts
50 → 3
Calls
Call 1
Inputs
1
(neg.f64 x)
(/.f64 -2 x)
(+.f64 1 (/.f64 -1 x))
(-.f64 (/.f64 -2 x) x)
(+.f64 (/.f64 -1 x) -1)
(/.f64 (/.f64 2 x) (+.f64 x -1))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(+.f64 (+.f64 1 (/.f64 -2 x)) -1)
(/.f64 (/.f64 2 x) (+.f64 x -1))
(+.f64 (+.f64 1 (/.f64 -2 x)) -1)
(/.f64 (/.f64 2 (*.f64 x x)) (+.f64 x -1))
(/.f64 (/.f64 (/.f64 2 x) x) (+.f64 x -1))
(/.f64 (/.f64 2 (*.f64 x x)) (+.f64 x -1))
(/.f64 (/.f64 (/.f64 2 x) x) (+.f64 x -1))
(+.f64 (/.f64 -1 x) (/.f64 1 (-.f64 x 1)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 -1 x) (/.f64 1 (-.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 2 (/.f64 -2 x)) (*.f64 x x)) (+.f64 x -1))
(+.f64 (/.f64 (/.f64 -2 (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
(/.f64 (/.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) x) (+.f64 x -1))
(+.f64 (/.f64 (/.f64 (-.f64 -2 x) (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(+.f64 (*.f64 (-.f64 -2 x) (/.f64 1 (*.f64 x (+.f64 1 x)))) (/.f64 1 (-.f64 x 1)))
(/.f64 (/.f64 (+.f64 x (*.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1))) x) (+.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 (-.f64 x (*.f64 (+.f64 1 x) 2)) (+.f64 1 x)) 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 (/.f64 (+.f64 x (*.f64 (*.f64 (*.f64 x x) -1/2) 2)) (*.f64 (*.f64 (*.f64 x x) -1/2) x)) x) (+.f64 x -1))
(+.f64 (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 x 1) -2) (*.f64 (+.f64 x 1) -2))) (-.f64 x (*.f64 (+.f64 x 1) -2))) (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 (/.f64 2 (pow.f64 x 2)) (+.f64 x -1))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (*.f64 (*.f64 x x) x)))
(fma.f64 (-.f64 -2 x) (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))
(/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) x) (+.f64 x -1))
(/.f64 (/.f64 (/.f64 (/.f64 (fma.f64 -2 x (*.f64 (*.f64 x x) 2)) x) (*.f64 x x)) x) (+.f64 x -1))
(fma.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))
(fma.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (*.f64 (/.f64 (/.f64 1 x) (-.f64 1 (*.f64 x 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 (pow.f64 (+.f64 1 x) -2) (*.f64 (-.f64 (/.f64 2 x) (/.f64 1 (+.f64 x -1))) (-.f64 (/.f64 2 x) (/.f64 1 (+.f64 x -1))))) (+.f64 (/.f64 1 (+.f64 1 x)) (-.f64 (/.f64 2 x) (/.f64 1 (+.f64 x -1)))))
(*.f64 2 (+.f64 (pow.f64 x -5) (pow.f64 x -3)))
(*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -5)))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
Outputs
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(*.f64 2 (+.f64 (pow.f64 x -5) (pow.f64 x -3)))
(/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) x) (+.f64 x -1))
Calls

3 calls:

83.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
78.0ms
x
75.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Results
ErrorSegmentsBranch
0.1b3x
0.1b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
0.1b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 675 to 489 computations (27.6% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.4908565367494e-13
4.091498319704415e-8
0.0ms
-35.87965242847439
-2.605017724970071e-10
Compiler

Compiled 20 to 16 computations (20% saved)

regimes277.0ms (1.9%)

Counts
47 → 3
Calls
Call 1
Inputs
1
(neg.f64 x)
(/.f64 -2 x)
(+.f64 1 (/.f64 -1 x))
(-.f64 (/.f64 -2 x) x)
(+.f64 (/.f64 -1 x) -1)
(/.f64 (/.f64 2 x) (+.f64 x -1))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(+.f64 (+.f64 1 (/.f64 -2 x)) -1)
(/.f64 (/.f64 2 x) (+.f64 x -1))
(+.f64 (+.f64 1 (/.f64 -2 x)) -1)
(/.f64 (/.f64 2 (*.f64 x x)) (+.f64 x -1))
(/.f64 (/.f64 (/.f64 2 x) x) (+.f64 x -1))
(/.f64 (/.f64 2 (*.f64 x x)) (+.f64 x -1))
(/.f64 (/.f64 (/.f64 2 x) x) (+.f64 x -1))
(+.f64 (/.f64 -1 x) (/.f64 1 (-.f64 x 1)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 -1 x) (/.f64 1 (-.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 2 (/.f64 -2 x)) (*.f64 x x)) (+.f64 x -1))
(+.f64 (/.f64 (/.f64 -2 (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
(/.f64 (/.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) x) (+.f64 x -1))
(+.f64 (/.f64 (/.f64 (-.f64 -2 x) (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(+.f64 (*.f64 (-.f64 -2 x) (/.f64 1 (*.f64 x (+.f64 1 x)))) (/.f64 1 (-.f64 x 1)))
(/.f64 (/.f64 (+.f64 x (*.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1))) x) (+.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 (-.f64 x (*.f64 (+.f64 1 x) 2)) (+.f64 1 x)) 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 (/.f64 (+.f64 x (*.f64 (*.f64 (*.f64 x x) -1/2) 2)) (*.f64 (*.f64 (*.f64 x x) -1/2) x)) x) (+.f64 x -1))
(+.f64 (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 x 1) -2) (*.f64 (+.f64 x 1) -2))) (-.f64 x (*.f64 (+.f64 x 1) -2))) (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 (/.f64 2 (pow.f64 x 2)) (+.f64 x -1))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (*.f64 (*.f64 x x) x)))
(fma.f64 (-.f64 -2 x) (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))
(/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) x) (+.f64 x -1))
(/.f64 (/.f64 (/.f64 (/.f64 (fma.f64 -2 x (*.f64 (*.f64 x x) 2)) x) (*.f64 x x)) x) (+.f64 x -1))
(fma.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))
(fma.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (*.f64 (/.f64 (/.f64 1 x) (-.f64 1 (*.f64 x 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 (pow.f64 (+.f64 1 x) -2) (*.f64 (-.f64 (/.f64 2 x) (/.f64 1 (+.f64 x -1))) (-.f64 (/.f64 2 x) (/.f64 1 (+.f64 x -1))))) (+.f64 (/.f64 1 (+.f64 1 x)) (-.f64 (/.f64 2 x) (/.f64 1 (+.f64 x -1)))))
Outputs
(/.f64 (/.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) x) (+.f64 x -1))
(/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) x) (+.f64 x -1))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (*.f64 (*.f64 x x) x)))
Calls

3 calls:

149.0ms
x
67.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
42.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Results
ErrorSegmentsBranch
0.2b3x
0.3b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
0.3b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 646 to 466 computations (27.9% saved)

bsearch56.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
365.63712801122784
13305.34583500944
34.0ms
-51841659923.4166
-1972.7549491055456
Compiler

Compiled 20 to 16 computations (20% saved)

regimes145.0ms (1%)

Counts
40 → 3
Calls
Call 1
Inputs
1
(neg.f64 x)
(/.f64 -2 x)
(+.f64 1 (/.f64 -1 x))
(-.f64 (/.f64 -2 x) x)
(+.f64 (/.f64 -1 x) -1)
(/.f64 (/.f64 2 x) (+.f64 x -1))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(+.f64 (+.f64 1 (/.f64 -2 x)) -1)
(/.f64 (/.f64 2 x) (+.f64 x -1))
(+.f64 (+.f64 1 (/.f64 -2 x)) -1)
(/.f64 (/.f64 2 (*.f64 x x)) (+.f64 x -1))
(/.f64 (/.f64 (/.f64 2 x) x) (+.f64 x -1))
(/.f64 (/.f64 2 (*.f64 x x)) (+.f64 x -1))
(/.f64 (/.f64 (/.f64 2 x) x) (+.f64 x -1))
(+.f64 (/.f64 -1 x) (/.f64 1 (-.f64 x 1)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 -1 x) (/.f64 1 (-.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 2 (/.f64 -2 x)) (*.f64 x x)) (+.f64 x -1))
(+.f64 (/.f64 (/.f64 -2 (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
(/.f64 (/.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) x) (+.f64 x -1))
(+.f64 (/.f64 (/.f64 (-.f64 -2 x) (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(+.f64 (*.f64 (-.f64 -2 x) (/.f64 1 (*.f64 x (+.f64 1 x)))) (/.f64 1 (-.f64 x 1)))
(/.f64 (/.f64 (+.f64 x (*.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1))) x) (+.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 (-.f64 x (*.f64 (+.f64 1 x) 2)) (+.f64 1 x)) 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 (/.f64 (+.f64 x (*.f64 (*.f64 (*.f64 x x) -1/2) 2)) (*.f64 (*.f64 (*.f64 x x) -1/2) x)) x) (+.f64 x -1))
(+.f64 (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 x 1) -2) (*.f64 (+.f64 x 1) -2))) (-.f64 x (*.f64 (+.f64 x 1) -2))) (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 (/.f64 2 (pow.f64 x 2)) (+.f64 x -1))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (*.f64 (*.f64 x x) x)))
(fma.f64 (-.f64 -2 x) (/.f64 1 (*.f64 x (+.f64 1 x))) (/.f64 1 (+.f64 x -1)))
Outputs
(/.f64 (/.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) x) (+.f64 x -1))
(+.f64 (/.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (*.f64 x (+.f64 1 x))) (/.f64 1 (-.f64 x 1)))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (*.f64 (*.f64 x x) x)))
Calls

3 calls:

70.0ms
x
31.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
30.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Results
ErrorSegmentsBranch
0.2b3x
0.3b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
0.3b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 467 to 340 computations (27.2% saved)

bsearch76.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
55.0ms
365.63712801122784
13305.34583500944
21.0ms
-51841659923.4166
-1972.7549491055456
Compiler

Compiled 20 to 16 computations (20% saved)

regimes156.0ms (1.1%)

Counts
38 → 3
Calls
Call 1
Inputs
1
(neg.f64 x)
(/.f64 -2 x)
(+.f64 1 (/.f64 -1 x))
(-.f64 (/.f64 -2 x) x)
(+.f64 (/.f64 -1 x) -1)
(/.f64 (/.f64 2 x) (+.f64 x -1))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(+.f64 (+.f64 1 (/.f64 -2 x)) -1)
(/.f64 (/.f64 2 x) (+.f64 x -1))
(+.f64 (+.f64 1 (/.f64 -2 x)) -1)
(/.f64 (/.f64 2 (*.f64 x x)) (+.f64 x -1))
(/.f64 (/.f64 (/.f64 2 x) x) (+.f64 x -1))
(/.f64 (/.f64 2 (*.f64 x x)) (+.f64 x -1))
(/.f64 (/.f64 (/.f64 2 x) x) (+.f64 x -1))
(+.f64 (/.f64 -1 x) (/.f64 1 (-.f64 x 1)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 -1 x) (/.f64 1 (-.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 2 (/.f64 -2 x)) (*.f64 x x)) (+.f64 x -1))
(+.f64 (/.f64 (/.f64 -2 (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
(/.f64 (/.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) x) (+.f64 x -1))
(+.f64 (/.f64 (/.f64 (-.f64 -2 x) (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(+.f64 (*.f64 (-.f64 -2 x) (/.f64 1 (*.f64 x (+.f64 1 x)))) (/.f64 1 (-.f64 x 1)))
(/.f64 (/.f64 (+.f64 x (*.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1))) x) (+.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 (-.f64 x (*.f64 (+.f64 1 x) 2)) (+.f64 1 x)) 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 (/.f64 (+.f64 x (*.f64 (*.f64 (*.f64 x x) -1/2) 2)) (*.f64 (*.f64 (*.f64 x x) -1/2) x)) x) (+.f64 x -1))
(+.f64 (/.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 x 1) -2) (*.f64 (+.f64 x 1) -2))) (-.f64 x (*.f64 (+.f64 x 1) -2))) (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 (/.f64 2 (pow.f64 x 2)) (+.f64 x -1))
Outputs
(+.f64 (/.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (*.f64 x (+.f64 1 x))) (/.f64 1 (-.f64 x 1)))
(/.f64 (/.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) x) (+.f64 x -1))
(+.f64 (/.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (*.f64 x (+.f64 1 x))) (/.f64 1 (-.f64 x 1)))
Calls

3 calls:

86.0ms
x
30.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
29.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Results
ErrorSegmentsBranch
0.4b3x
0.4b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
0.4b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 438 to 320 computations (26.9% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.363317450607618e-14
8.4908565367494e-13
0.0ms
-2.605017724970071e-10
-5e-324
Compiler

Compiled 20 to 16 computations (20% saved)

regimes125.0ms (0.9%)

Counts
28 → 3
Calls
Call 1
Inputs
1
(neg.f64 x)
(/.f64 -2 x)
(+.f64 1 (/.f64 -1 x))
(-.f64 (/.f64 -2 x) x)
(+.f64 (/.f64 -1 x) -1)
(/.f64 (/.f64 2 x) (+.f64 x -1))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(+.f64 (+.f64 1 (/.f64 -2 x)) -1)
(/.f64 (/.f64 2 x) (+.f64 x -1))
(+.f64 (+.f64 1 (/.f64 -2 x)) -1)
(/.f64 (/.f64 2 (*.f64 x x)) (+.f64 x -1))
(/.f64 (/.f64 (/.f64 2 x) x) (+.f64 x -1))
(/.f64 (/.f64 2 (*.f64 x x)) (+.f64 x -1))
(/.f64 (/.f64 (/.f64 2 x) x) (+.f64 x -1))
(+.f64 (/.f64 -1 x) (/.f64 1 (-.f64 x 1)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 -1 x) (/.f64 1 (-.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 2 (/.f64 -2 x)) (*.f64 x x)) (+.f64 x -1))
(+.f64 (/.f64 (/.f64 -2 (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
(/.f64 (/.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) x) (+.f64 x -1))
(+.f64 (/.f64 (/.f64 (-.f64 -2 x) (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(+.f64 (*.f64 (-.f64 -2 x) (/.f64 1 (*.f64 x (+.f64 1 x)))) (/.f64 1 (-.f64 x 1)))
(/.f64 (/.f64 (+.f64 x (*.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1))) x) (+.f64 x -1))
Outputs
(/.f64 (/.f64 (+.f64 x (*.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1))) x) (+.f64 x -1))
(/.f64 (/.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) x) (+.f64 x -1))
(+.f64 (*.f64 (-.f64 -2 x) (/.f64 1 (*.f64 x (+.f64 1 x)))) (/.f64 1 (-.f64 x 1)))
Calls

3 calls:

37.0ms
x
25.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
24.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Results
ErrorSegmentsBranch
0.4b3x
0.4b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
0.4b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 292 to 215 computations (26.4% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.363317450607618e-14
8.4908565367494e-13
0.0ms
-2.605017724970071e-10
-5e-324
Compiler

Compiled 20 to 16 computations (20% saved)

regimes120.0ms (0.8%)

Counts
27 → 3
Calls
Call 1
Inputs
1
(neg.f64 x)
(/.f64 -2 x)
(+.f64 1 (/.f64 -1 x))
(-.f64 (/.f64 -2 x) x)
(+.f64 (/.f64 -1 x) -1)
(/.f64 (/.f64 2 x) (+.f64 x -1))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(+.f64 (+.f64 1 (/.f64 -2 x)) -1)
(/.f64 (/.f64 2 x) (+.f64 x -1))
(+.f64 (+.f64 1 (/.f64 -2 x)) -1)
(/.f64 (/.f64 2 (*.f64 x x)) (+.f64 x -1))
(/.f64 (/.f64 (/.f64 2 x) x) (+.f64 x -1))
(/.f64 (/.f64 2 (*.f64 x x)) (+.f64 x -1))
(/.f64 (/.f64 (/.f64 2 x) x) (+.f64 x -1))
(+.f64 (/.f64 -1 x) (/.f64 1 (-.f64 x 1)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 -1 x) (/.f64 1 (-.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 2 (/.f64 -2 x)) (*.f64 x x)) (+.f64 x -1))
(+.f64 (/.f64 (/.f64 -2 (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
(/.f64 (/.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) x) (+.f64 x -1))
(+.f64 (/.f64 (/.f64 (-.f64 -2 x) (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(+.f64 (*.f64 (-.f64 -2 x) (/.f64 1 (*.f64 x (+.f64 1 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 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) x) (+.f64 x -1))
(+.f64 (*.f64 (-.f64 -2 x) (/.f64 1 (*.f64 x (+.f64 1 x)))) (/.f64 1 (-.f64 x 1)))
Calls

3 calls:

64.0ms
x
26.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
23.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Results
ErrorSegmentsBranch
0.4b3x
0.4b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
0.4b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 273 to 202 computations (26% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.363317450607618e-14
8.4908565367494e-13
0.0ms
-2.605017724970071e-10
-5e-324
Compiler

Compiled 20 to 16 computations (20% saved)

regimes106.0ms (0.7%)

Counts
26 → 3
Calls
Call 1
Inputs
1
(neg.f64 x)
(/.f64 -2 x)
(+.f64 1 (/.f64 -1 x))
(-.f64 (/.f64 -2 x) x)
(+.f64 (/.f64 -1 x) -1)
(/.f64 (/.f64 2 x) (+.f64 x -1))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(+.f64 (+.f64 1 (/.f64 -2 x)) -1)
(/.f64 (/.f64 2 x) (+.f64 x -1))
(+.f64 (+.f64 1 (/.f64 -2 x)) -1)
(/.f64 (/.f64 2 (*.f64 x x)) (+.f64 x -1))
(/.f64 (/.f64 (/.f64 2 x) x) (+.f64 x -1))
(/.f64 (/.f64 2 (*.f64 x x)) (+.f64 x -1))
(/.f64 (/.f64 (/.f64 2 x) x) (+.f64 x -1))
(+.f64 (/.f64 -1 x) (/.f64 1 (-.f64 x 1)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 -1 x) (/.f64 1 (-.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 2 (/.f64 -2 x)) (*.f64 x x)) (+.f64 x -1))
(+.f64 (/.f64 (/.f64 -2 (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
(/.f64 (/.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) x) (+.f64 x -1))
(+.f64 (/.f64 (/.f64 (-.f64 -2 x) (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Outputs
(/.f64 (/.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) x) (+.f64 x -1))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(/.f64 (/.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) x) (+.f64 x -1))
Calls

3 calls:

48.0ms
x
28.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
20.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Results
ErrorSegmentsBranch
0.4b3x
0.4b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
0.4b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 256 to 189 computations (26.2% saved)

bsearch88.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
42.0ms
365.63712801122784
13305.34583500944
46.0ms
-51841659923.4166
-1972.7549491055456
Compiler

Compiled 20 to 16 computations (20% saved)

regimes98.0ms (0.7%)

Counts
25 → 3
Calls
Call 1
Inputs
1
(neg.f64 x)
(/.f64 -2 x)
(+.f64 1 (/.f64 -1 x))
(-.f64 (/.f64 -2 x) x)
(+.f64 (/.f64 -1 x) -1)
(/.f64 (/.f64 2 x) (+.f64 x -1))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(+.f64 (+.f64 1 (/.f64 -2 x)) -1)
(/.f64 (/.f64 2 x) (+.f64 x -1))
(+.f64 (+.f64 1 (/.f64 -2 x)) -1)
(/.f64 (/.f64 2 (*.f64 x x)) (+.f64 x -1))
(/.f64 (/.f64 (/.f64 2 x) x) (+.f64 x -1))
(/.f64 (/.f64 2 (*.f64 x x)) (+.f64 x -1))
(/.f64 (/.f64 (/.f64 2 x) x) (+.f64 x -1))
(+.f64 (/.f64 -1 x) (/.f64 1 (-.f64 x 1)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 -1 x) (/.f64 1 (-.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 2 (/.f64 -2 x)) (*.f64 x x)) (+.f64 x -1))
(+.f64 (/.f64 (/.f64 -2 (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
(/.f64 (/.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) x) (+.f64 x -1))
(+.f64 (/.f64 (/.f64 (-.f64 -2 x) (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
Outputs
(/.f64 (/.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) x) (+.f64 x -1))
(+.f64 (/.f64 (/.f64 (-.f64 -2 x) (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
(/.f64 (/.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) x) (+.f64 x -1))
Calls

1 calls:

84.0ms
x
Results
ErrorSegmentsBranch
0.4b3x
Compiler

Compiled 209 to 151 computations (27.8% saved)

bsearch90.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
46.0ms
365.63712801122784
13305.34583500944
43.0ms
-51841659923.4166
-1972.7549491055456
Compiler

Compiled 20 to 16 computations (20% saved)

regimes54.0ms (0.4%)

Counts
24 → 3
Calls
Call 1
Inputs
1
(neg.f64 x)
(/.f64 -2 x)
(+.f64 1 (/.f64 -1 x))
(-.f64 (/.f64 -2 x) x)
(+.f64 (/.f64 -1 x) -1)
(/.f64 (/.f64 2 x) (+.f64 x -1))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(+.f64 (+.f64 1 (/.f64 -2 x)) -1)
(/.f64 (/.f64 2 x) (+.f64 x -1))
(+.f64 (+.f64 1 (/.f64 -2 x)) -1)
(/.f64 (/.f64 2 (*.f64 x x)) (+.f64 x -1))
(/.f64 (/.f64 (/.f64 2 x) x) (+.f64 x -1))
(/.f64 (/.f64 2 (*.f64 x x)) (+.f64 x -1))
(/.f64 (/.f64 (/.f64 2 x) x) (+.f64 x -1))
(+.f64 (/.f64 -1 x) (/.f64 1 (-.f64 x 1)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 -1 x) (/.f64 1 (-.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 2 (/.f64 -2 x)) (*.f64 x x)) (+.f64 x -1))
(+.f64 (/.f64 (/.f64 -2 (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
(/.f64 (/.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) x) (+.f64 x -1))
Outputs
(/.f64 (/.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) x) (+.f64 x -1))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(/.f64 (/.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) x) (+.f64 x -1))
Calls

1 calls:

42.0ms
x
Results
ErrorSegmentsBranch
0.7b3x
Compiler

Compiled 194 to 140 computations (27.8% saved)

bsearch47.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
22.0ms
0.05591673386039308
365.63712801122784
24.0ms
-1972.7549491055456
-0.00011080884447464216
Compiler

Compiled 20 to 16 computations (20% saved)

regimes50.0ms (0.3%)

Counts
23 → 3
Calls
Call 1
Inputs
1
(neg.f64 x)
(/.f64 -2 x)
(+.f64 1 (/.f64 -1 x))
(-.f64 (/.f64 -2 x) x)
(+.f64 (/.f64 -1 x) -1)
(/.f64 (/.f64 2 x) (+.f64 x -1))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(+.f64 (+.f64 1 (/.f64 -2 x)) -1)
(/.f64 (/.f64 2 x) (+.f64 x -1))
(+.f64 (+.f64 1 (/.f64 -2 x)) -1)
(/.f64 (/.f64 2 (*.f64 x x)) (+.f64 x -1))
(/.f64 (/.f64 (/.f64 2 x) x) (+.f64 x -1))
(/.f64 (/.f64 2 (*.f64 x x)) (+.f64 x -1))
(/.f64 (/.f64 (/.f64 2 x) x) (+.f64 x -1))
(+.f64 (/.f64 -1 x) (/.f64 1 (-.f64 x 1)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 -1 x) (/.f64 1 (-.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 2 (/.f64 -2 x)) (*.f64 x x)) (+.f64 x -1))
(+.f64 (/.f64 (/.f64 -2 (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1)))
Outputs
(/.f64 (/.f64 (+.f64 2 (/.f64 -2 x)) (*.f64 x x)) (+.f64 x -1))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(/.f64 (/.f64 (+.f64 2 (/.f64 -2 x)) (*.f64 x x)) (+.f64 x -1))
Calls

1 calls:

44.0ms
x
Results
ErrorSegmentsBranch
0.7b3x
Compiler

Compiled 179 to 131 computations (26.8% saved)

bsearch66.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
41.0ms
0.05591673386039308
365.63712801122784
24.0ms
-1972.7549491055456
-0.00011080884447464216
Compiler

Compiled 20 to 16 computations (20% saved)

regimes73.0ms (0.5%)

Counts
21 → 3
Calls
Call 1
Inputs
1
(neg.f64 x)
(/.f64 -2 x)
(+.f64 1 (/.f64 -1 x))
(-.f64 (/.f64 -2 x) x)
(+.f64 (/.f64 -1 x) -1)
(/.f64 (/.f64 2 x) (+.f64 x -1))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(+.f64 (+.f64 1 (/.f64 -2 x)) -1)
(/.f64 (/.f64 2 x) (+.f64 x -1))
(+.f64 (+.f64 1 (/.f64 -2 x)) -1)
(/.f64 (/.f64 2 (*.f64 x x)) (+.f64 x -1))
(/.f64 (/.f64 (/.f64 2 x) x) (+.f64 x -1))
(/.f64 (/.f64 2 (*.f64 x x)) (+.f64 x -1))
(/.f64 (/.f64 (/.f64 2 x) x) (+.f64 x -1))
(+.f64 (/.f64 -1 x) (/.f64 1 (-.f64 x 1)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 -1 x) (/.f64 1 (-.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)))
Outputs
(/.f64 (/.f64 (/.f64 2 x) x) (+.f64 x -1))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(/.f64 (/.f64 (/.f64 2 x) x) (+.f64 x -1))
Calls

1 calls:

62.0ms
x
Results
ErrorSegmentsBranch
1.0b3x
Compiler

Compiled 153 to 113 computations (26.1% saved)

bsearch43.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
0.05591673386039308
365.63712801122784
22.0ms
-1972.7549491055456
-0.00011080884447464216
Compiler

Compiled 20 to 16 computations (20% saved)

regimes24.0ms (0.2%)

Counts
12 → 3
Calls
Call 1
Inputs
1
(neg.f64 x)
(/.f64 -2 x)
(+.f64 1 (/.f64 -1 x))
(-.f64 (/.f64 -2 x) x)
(+.f64 (/.f64 -1 x) -1)
(/.f64 (/.f64 2 x) (+.f64 x -1))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(+.f64 (+.f64 1 (/.f64 -2 x)) -1)
(/.f64 (/.f64 2 x) (+.f64 x -1))
(+.f64 (+.f64 1 (/.f64 -2 x)) -1)
(/.f64 (/.f64 2 (*.f64 x x)) (+.f64 x -1))
Outputs
(/.f64 (/.f64 2 (*.f64 x x)) (+.f64 x -1))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(/.f64 (/.f64 2 (*.f64 x x)) (+.f64 x -1))
Calls

1 calls:

20.0ms
x
Results
ErrorSegmentsBranch
1.0b3x
Compiler

Compiled 68 to 50 computations (26.5% saved)

bsearch42.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
0.05591673386039308
365.63712801122784
21.0ms
-1972.7549491055456
-0.00011080884447464216
Compiler

Compiled 20 to 16 computations (20% saved)

regimes9.0ms (0.1%)

Counts
11 → 1
Calls
Call 1
Inputs
1
(neg.f64 x)
(/.f64 -2 x)
(+.f64 1 (/.f64 -1 x))
(-.f64 (/.f64 -2 x) x)
(+.f64 (/.f64 -1 x) -1)
(/.f64 (/.f64 2 x) (+.f64 x -1))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(+.f64 (+.f64 1 (/.f64 -2 x)) -1)
(/.f64 (/.f64 2 x) (+.f64 x -1))
(+.f64 (+.f64 1 (/.f64 -2 x)) -1)
Outputs
(+.f64 (+.f64 1 (/.f64 -2 x)) -1)
Calls

1 calls:

6.0ms
x
Results
ErrorSegmentsBranch
9.7b1x
Compiler

Compiled 59 to 44 computations (25.4% saved)

regimes45.0ms (0.3%)

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

1 calls:

43.0ms
x
Results
ErrorSegmentsBranch
15.6b1x
Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes7.0ms (0%)

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

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
31.1b1x
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes4.0ms (0%)

Accuracy

Total -0.7b remaining (-1.1%)

Threshold costs -0.7b (-1.1%)

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

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
61.9b1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify53.0ms (0.4%)

Algorithm
egg-herbie
Rules
26×+-commutative_binary64
16×*-commutative_binary64
11×sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01371540
11821540
22061540
32191540
42241540
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) -7737125245533627/38685626227668133590597632) (/.f64 (+.f64 (fma.f64 x x x) (*.f64 (+.f64 x -1) (-.f64 x (fma.f64 x 2 2)))) (*.f64 (+.f64 x -1) (fma.f64 x x x))) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) 4951760157141521/4951760157141521099596496896) (*.f64 2 (+.f64 (pow.f64 x -5) (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))))))
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) -7737125245533627/38685626227668133590597632) (/.f64 (+.f64 (fma.f64 x x x) (*.f64 (+.f64 x -1) (-.f64 x (fma.f64 x 2 2)))) (*.f64 (+.f64 x -1) (fma.f64 x x x))) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) 4951760157141521/4951760157141521099596496896) (*.f64 2 (+.f64 (pow.f64 x -5) (pow.f64 x -3))) (/.f64 (+.f64 (fma.f64 x x x) (*.f64 (+.f64 x -1) (-.f64 x (fma.f64 x 2 2)))) (*.f64 (+.f64 x -1) (fma.f64 x x x)))))
(if (<=.f64 x -4338134010588397/2199023255552) (*.f64 2 (+.f64 (pow.f64 x -5) (pow.f64 x -3))) (if (<=.f64 x 8058450616878127/144115188075855872) (/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1) x) x) (+.f64 x -1)) (+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))))
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) -20) (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) 4951760157141521/4951760157141521099596496896) (*.f64 2 (+.f64 (pow.f64 x -5) (pow.f64 x -3))) (/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1) x) x) (+.f64 x -1))))
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) -20) (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) 4951760157141521/4951760157141521099596496896) (*.f64 2 (+.f64 (pow.f64 x -5) (pow.f64 x -3))) (/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) x) (+.f64 x -1))))
(if (<=.f64 x -6794990049482061/131072) (/.f64 (/.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) x) (+.f64 x -1)) (if (<=.f64 x 6432356380719469/17592186044416) (/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1) x) x) (+.f64 x -1)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (*.f64 (*.f64 x x) x)))))
(if (<=.f64 x -6794990049482061/131072) (/.f64 (/.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) x) (+.f64 x -1)) (if (<=.f64 x 6432356380719469/17592186044416) (+.f64 (/.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (*.f64 x (+.f64 1 x))) (/.f64 1 (-.f64 x 1))) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (*.f64 (*.f64 x x) x)))))
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) -7737125245533627/38685626227668133590597632) (+.f64 (/.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (*.f64 x (+.f64 1 x))) (/.f64 1 (-.f64 x 1))) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) 3961408125713217/79228162514264337593543950336) (/.f64 (/.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) x) (+.f64 x -1)) (+.f64 (/.f64 (-.f64 x (*.f64 (+.f64 1 x) 2)) (*.f64 x (+.f64 1 x))) (/.f64 1 (-.f64 x 1)))))
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) -7737125245533627/38685626227668133590597632) (/.f64 (/.f64 (+.f64 x (*.f64 (/.f64 (-.f64 -2 x) (+.f64 x 1)) (+.f64 x -1))) x) (+.f64 x -1)) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) 3961408125713217/79228162514264337593543950336) (/.f64 (/.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) x) (+.f64 x -1)) (+.f64 (*.f64 (-.f64 -2 x) (/.f64 1 (*.f64 x (+.f64 1 x)))) (/.f64 1 (-.f64 x 1)))))
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) -7737125245533627/38685626227668133590597632) (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) 3961408125713217/79228162514264337593543950336) (/.f64 (/.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) x) (+.f64 x -1)) (+.f64 (*.f64 (-.f64 -2 x) (/.f64 1 (*.f64 x (+.f64 1 x)))) (/.f64 1 (-.f64 x 1)))))
(if (<=.f64 x -6794990049482061/131072) (/.f64 (/.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) x) (+.f64 x -1)) (if (<=.f64 x 6432356380719469/17592186044416) (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) (/.f64 (/.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) x) (+.f64 x -1))))
(if (<=.f64 x -6794990049482061/131072) (/.f64 (/.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) x) (+.f64 x -1)) (if (<=.f64 x 6432356380719469/17592186044416) (+.f64 (/.f64 (/.f64 (-.f64 -2 x) (+.f64 1 x)) x) (/.f64 1 (-.f64 x 1))) (/.f64 (/.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) x) (+.f64 x -1))))
(if (<=.f64 x -4338134010588397/2199023255552) (/.f64 (/.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) x) (+.f64 x -1)) (if (<=.f64 x 8058450616878127/144115188075855872) (-.f64 (*.f64 -2 x) (/.f64 2 x)) (/.f64 (/.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) x) (+.f64 x -1))))
(if (<=.f64 x -4338134010588397/2199023255552) (/.f64 (/.f64 (+.f64 2 (/.f64 -2 x)) (*.f64 x x)) (+.f64 x -1)) (if (<=.f64 x 8058450616878127/144115188075855872) (-.f64 (*.f64 -2 x) (/.f64 2 x)) (/.f64 (/.f64 (+.f64 2 (/.f64 -2 x)) (*.f64 x x)) (+.f64 x -1))))
(if (<=.f64 x -4338134010588397/2199023255552) (/.f64 (/.f64 (/.f64 2 x) x) (+.f64 x -1)) (if (<=.f64 x 8058450616878127/144115188075855872) (-.f64 (*.f64 -2 x) (/.f64 2 x)) (/.f64 (/.f64 (/.f64 2 x) x) (+.f64 x -1))))
(if (<=.f64 x -4338134010588397/2199023255552) (/.f64 (/.f64 2 (*.f64 x x)) (+.f64 x -1)) (if (<=.f64 x 8058450616878127/144115188075855872) (-.f64 (*.f64 -2 x) (/.f64 2 x)) (/.f64 (/.f64 2 (*.f64 x x)) (+.f64 x -1))))
(+.f64 (+.f64 1 (/.f64 -2 x)) -1)
(/.f64 (/.f64 2 x) (+.f64 x -1))
(/.f64 -2 x)
1
Outputs
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) -7737125245533627/38685626227668133590597632) (/.f64 (+.f64 (fma.f64 x x x) (*.f64 (+.f64 x -1) (-.f64 x (fma.f64 x 2 2)))) (*.f64 (+.f64 x -1) (fma.f64 x x x))) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) 4951760157141521/4951760157141521099596496896) (*.f64 2 (+.f64 (pow.f64 x -5) (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))))))
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x -1))) -7737125245533627/38685626227668133590597632) (/.f64 (+.f64 (fma.f64 x x x) (*.f64 (+.f64 x -1) (-.f64 x (fma.f64 x 2 2)))) (*.f64 (fma.f64 x x x) (+.f64 x -1))) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x -1))) 4951760157141521/4951760157141521099596496896) (*.f64 2 (+.f64 (pow.f64 x -5) (pow.f64 x -3))) (/.f64 (fma.f64 -1 (*.f64 x (+.f64 1 x)) (*.f64 (fma.f64 -1 x 1) (-.f64 x (*.f64 2 (+.f64 1 x))))) (*.f64 (*.f64 x (+.f64 1 x)) (fma.f64 -1 x 1)))))
(if (<=.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1))) -7737125245533627/38685626227668133590597632) (/.f64 (+.f64 (fma.f64 x x x) (*.f64 (+.f64 x -1) (-.f64 x (fma.f64 x 2 2)))) (*.f64 (fma.f64 x x x) (+.f64 x -1))) (if (<=.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1))) 4951760157141521/4951760157141521099596496896) (*.f64 2 (+.f64 (pow.f64 x -5) (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 (*.f64 x (+.f64 1 x)) (fma.f64 -1 x 1)))))
(if (<=.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1))) -7737125245533627/38685626227668133590597632) (/.f64 (+.f64 (fma.f64 x x x) (*.f64 (+.f64 x -1) (-.f64 x (fma.f64 x 2 2)))) (*.f64 (fma.f64 x x x) (+.f64 x -1))) (if (<=.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1))) 4951760157141521/4951760157141521099596496896) (*.f64 2 (+.f64 (pow.f64 x -5) (pow.f64 x -3))) (/.f64 (fma.f64 -1 (*.f64 x (+.f64 1 x)) (*.f64 (fma.f64 -1 x 1) (+.f64 x (*.f64 2 (-.f64 -1 x))))) (*.f64 (*.f64 x (+.f64 1 x)) (fma.f64 -1 x 1)))))
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) -7737125245533627/38685626227668133590597632) (/.f64 (+.f64 (fma.f64 x x x) (*.f64 (+.f64 x -1) (-.f64 x (fma.f64 x 2 2)))) (*.f64 (+.f64 x -1) (fma.f64 x x x))) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) 4951760157141521/4951760157141521099596496896) (*.f64 2 (+.f64 (pow.f64 x -5) (pow.f64 x -3))) (/.f64 (+.f64 (fma.f64 x x x) (*.f64 (+.f64 x -1) (-.f64 x (fma.f64 x 2 2)))) (*.f64 (+.f64 x -1) (fma.f64 x x x)))))
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x -1))) -7737125245533627/38685626227668133590597632) (/.f64 (+.f64 (fma.f64 x x x) (*.f64 (+.f64 x -1) (-.f64 x (fma.f64 x 2 2)))) (*.f64 (fma.f64 x x x) (+.f64 x -1))) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x -1))) 4951760157141521/4951760157141521099596496896) (*.f64 2 (+.f64 (pow.f64 x -5) (pow.f64 x -3))) (/.f64 (+.f64 (fma.f64 x x x) (*.f64 (+.f64 x -1) (-.f64 x (fma.f64 x 2 2)))) (*.f64 (fma.f64 x x x) (+.f64 x -1)))))
(if (<=.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1))) -7737125245533627/38685626227668133590597632) (/.f64 (+.f64 (fma.f64 x x x) (*.f64 (+.f64 x -1) (-.f64 x (fma.f64 x 2 2)))) (*.f64 (fma.f64 x x x) (+.f64 x -1))) (if (<=.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1))) 4951760157141521/4951760157141521099596496896) (*.f64 2 (+.f64 (pow.f64 x -5) (pow.f64 x -3))) (/.f64 (+.f64 (fma.f64 x x x) (*.f64 (+.f64 x -1) (-.f64 x (fma.f64 x 2 2)))) (*.f64 (fma.f64 x x x) (+.f64 x -1)))))
(if (<=.f64 x -4338134010588397/2199023255552) (*.f64 2 (+.f64 (pow.f64 x -5) (pow.f64 x -3))) (if (<=.f64 x 8058450616878127/144115188075855872) (/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1) x) x) (+.f64 x -1)) (+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))))
(if (<=.f64 x -4338134010588397/2199023255552) (*.f64 2 (+.f64 (pow.f64 x -5) (pow.f64 x -3))) (if (<=.f64 x 8058450616878127/144115188075855872) (/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 1 x)) (+.f64 x -1) x) x) (+.f64 x -1)) (+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))))
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) -20) (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) 4951760157141521/4951760157141521099596496896) (*.f64 2 (+.f64 (pow.f64 x -5) (pow.f64 x -3))) (/.f64 (/.f64 (fma.f64 (/.f64 (-.f64 x (fma.f64 x 2 2)) (+.f64 x 1)) (+.f64 x -1) x) x) (+.f64 x -1))))
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(+.f64 (+.f64 1 (/.f64 -2 x)) -1)
(+.f64 -1 (+.f64 1 (/.f64 -2 x)))
(/.f64 (/.f64 2 x) (+.f64 x -1))
(/.f64 -2 x)
1
Compiler

Compiled 1070 to 782 computations (26.9% saved)

soundness95.0ms (0.6%)

Algorithm
egg-herbie
Rules
592×sub-neg_binary64
467×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
31925716
45414713
Stop Event
node limit
Compiler

Compiled 72 to 62 computations (13.9% saved)

end719.0ms (4.9%)

Compiler

Compiled 1051 to 752 computations (28.4% saved)

Profiling

Loading profile data...