Details

Time bar (total: 9.8s)

analyze8.0ms (0.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
25%25%75%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 21 to 17 computations (19% saved)

sample1.7s (16.9%)

Results
1.6s8256×body256valid
Bogosity

preprocess106.0ms (1.1%)

Algorithm
2×egg-herbie
Rules
706×fma-def_binary64
684×fma-neg_binary64
659×associate-/l*_binary64
582×associate-/r*_binary64
298×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01728
13422
26922
310922
415522
519720
629420
753120
8116020
9232820
10487020
11609020
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
Outputs
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
(*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
Compiler

Compiled 21 to 17 computations (19% saved)

simplify91.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
706×fma-def_binary64
684×fma-neg_binary64
659×associate-/l*_binary64
582×associate-/r*_binary64
298×distribute-rgt-in_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01728
13422
26922
310922
415522
519720
629420
753120
8116020
9232820
10487020
11609020
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
Outputs
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
(*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))

eval2.0ms (0%)

Compiler

Compiled 35 to 27 computations (22.9% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.1b
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
▶0.1b
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
Compiler

Compiled 36 to 28 computations (22.2% saved)

localize71.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
✓0.4b
(*.f64 x 4481/100000)
✓0.4b
(*.f64 x 27061/100000)
✓16.2b
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))))
Compiler

Compiled 91 to 71 computations (22% saved)

series14.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
2.0ms
x
@inf
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))))
1.0ms
x
@0
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))))
1.0ms
x
@inf
(*.f64 x 27061/100000)
1.0ms
x
@-inf
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))))

rewrite120.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
696×fma-def_binary64
338×expm1-udef_binary64
338×log1p-udef_binary64
335×fma-neg_binary64
254×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01758
139046
2536046
Stop Event
1×node limit
Counts
4 → 81
Calls
Call 1
Inputs
(/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000)))))
(*.f64 x 27061/100000)
(*.f64 x 4481/100000)
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 27061/100000 230753/100000) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) (*.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)) (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (*.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (sqrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 x 27061/100000 230753/100000)) (/.f64 1 (neg.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (fma.f64 x 27061/100000 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) 1) (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)) (/.f64 (fma.f64 x 27061/100000 230753/100000) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)) (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)) (/.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (/.f64 (fma.f64 x 27061/100000 230753/100000) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (/.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (+.f64 1 (pow.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 3))) (fma.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (-.f64 1 (pow.f64 (*.f64 x (fma.f64 x 4481/100000 99229/100000)) 2))) (-.f64 1 (*.f64 x (fma.f64 x 4481/100000 99229/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 27061/100000 230753/100000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (neg.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 27061/100000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 27061/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 27061/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 27061/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 19816708627981/1000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 732297721/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 27061/100000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 27061/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 19816708627981/1000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 27061/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 27061/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 27061/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 27061/100000)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 4481/100000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 4481/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 4481/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 4481/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 89975616641/1000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 20079361/10000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4481/100000) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 4481/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 89975616641/1000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 4481/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 4481/100000)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 70711/100000) (*.f64 (neg.f64 x) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 70711/100000 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (*.f64 70711/100000 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3) (pow.f64 x 3)) 70711/100000) (fma.f64 x (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 70711/100000 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3) (pow.f64 x 3))) (fma.f64 x (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 70711/100000 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (*.f64 x x))) (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 5000045521/10000000000 (pow.f64 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 70711/100000) (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 70711/100000 (*.f64 (neg.f64 x) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 70711/100000 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (*.f64 70711/100000 (neg.f64 x)))))))

simplify90.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
612×fma-def_binary64
550×times-frac_binary64
401×associate-/l/_binary64
396×associate-*r/_binary64
361×associate-*l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
068442
1173424
2419420
31132408
43236408
57867408
Stop Event
1×node limit
Counts
129 → 114
Calls
Call 1
Inputs
230753/100000
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
(+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (+.f64 (*.f64 -20191289437/10000000000 x) (*.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3)))))
(/.f64 27061/4481 x)
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4)))))
(/.f64 27061/4481 x)
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4)))))
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 27061/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
(*.f64 4481/100000 x)
16316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(*.f64 -70711/100000 x)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(*.f64 -70711/100000 x)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
Outputs
230753/100000
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(fma.f64 -20191289437/10000000000 x 230753/100000)
(+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
(fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
(fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (fma.f64 -20191289437/10000000000 x 230753/100000))
(fma.f64 -20191289437/10000000000 x (fma.f64 x (*.f64 x 1900161040244073/1000000000000000) 230753/100000))
(fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) 230753/100000)
(+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (+.f64 (*.f64 -20191289437/10000000000 x) (*.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3)))))
(fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (+.f64 230753/100000 (fma.f64 -20191289437/10000000000 x (*.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3)))))
(+.f64 (fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (fma.f64 -20191289437/10000000000 x 230753/100000)) (*.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3)))
(fma.f64 x (*.f64 x 1900161040244073/1000000000000000) (fma.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3) (fma.f64 -20191289437/10000000000 x 230753/100000)))
(fma.f64 x (fma.f64 x 1900161040244073/1000000000000000 -20191289437/10000000000) (fma.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3) 230753/100000))
(/.f64 27061/4481 x)
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(-.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 1651231776/20079361 x) x))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x))))
(+.f64 (/.f64 27061/4481 x) (-.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 (/.f64 1651231776/20079361 x) x)))
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -1651231776/20079361 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (+.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))))
(+.f64 (/.f64 27061/4481 x) (-.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1651231776/20079361 x) x) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4)))))
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4)))))
(/.f64 27061/4481 x)
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(-.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 1651231776/20079361 x) x))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x))))
(+.f64 (/.f64 27061/4481 x) (-.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 (/.f64 1651231776/20079361 x) x)))
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -1651231776/20079361 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (+.f64 (/.f64 1651231776/20079361 (*.f64 x x)) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4))))
(+.f64 (/.f64 27061/4481 x) (-.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1651231776/20079361 x) x) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4)))))
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4)))))
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
16316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) (*.f64 (*.f64 x x) 134362287316698645903/100000000000000000000))
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 (*.f64 x x) 134362287316698645903/100000000000000000000 16316775383/10000000000))
(fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000))
(fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -2134856267379707/1000000000000000) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(+.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000)))
(+.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000) (fma.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000 (*.f64 (*.f64 134362287316698645903/100000000000000000000 x) x)))
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000 (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) 16316775383/10000000000)))
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 (*.f64 x x) (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000) 16316775383/10000000000))
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) 16316775383/10000000000))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(+.f64 (*.f64 x -70711/100000) (/.f64 1913510371/448100000 x))
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 x -70711/100000) (/.f64 1913510371/448100000 x)) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(-.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (+.f64 (*.f64 x -70711/100000) (/.f64 1913510371/448100000 x)) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(-.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 3648757816023/62748003125 (/.f64 335267464412236892/281173802003125 x))))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(+.f64 (*.f64 x -70711/100000) (/.f64 1913510371/448100000 x))
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 x -70711/100000) (/.f64 1913510371/448100000 x)) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(-.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (+.f64 (*.f64 x -70711/100000) (/.f64 1913510371/448100000 x)) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(-.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 3648757816023/62748003125 (/.f64 335267464412236892/281173802003125 x))))

localize41.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
✓0.2b
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
✓0.2b
(fma.f64 x 4481/100000 99229/100000)
✓16.2b
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
Compiler

Compiled 50 to 38 computations (24% saved)

series9.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
1.0ms
x
@0
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
1.0ms
x
@-inf
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
1.0ms
x
@inf
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
1.0ms
x
@-inf
(fma.f64 x 4481/100000 99229/100000)

rewrite129.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
573×unpow-prod-down_binary64
488×log-prod_binary64
317×pow2_binary64
253×pow-prod-down_binary64
223×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01346
126746
2294946
Stop Event
1×node limit
Counts
4 → 166
Calls
Call 1
Inputs
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
(fma.f64 x 4481/100000 99229/100000)
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 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#<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)) (/.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 2) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (/.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (sqrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 (fma.f64 x 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simplify88.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
820×distribute-neg-frac_binary64
511×fma-def_binary64
417×times-frac_binary64
400×distribute-rgt-neg-in_binary64
290×associate-/l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
059470
1147436
2343432
3901420
42558420
56287420
Stop Event
1×node limit
Counts
214 → 204
Calls
Call 1
Inputs
16316775383/10000000000
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
99229/100000
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(*.f64 4481/100000 x)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 4481/100000 x))
(*.f64 4481/100000 x)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 4481/100000 x))
(+.f64 99229/100000 (*.f64 4481/100000 x))
16316775383/10000000000
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(*.f64 1913510371/10000000000 x)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(*.f64 1913510371/10000000000 x)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
16316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(*.f64 -70711/100000 x)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(*.f64 -70711/100000 x)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
Outputs
16316775383/10000000000
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000)
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)))
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000))
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) 16316775383/10000000000))
(fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -1427746267379707/1000000000000000) 16316775383/10000000000)
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(+.f64 (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000) (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))))
(+.f64 (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000) (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) (*.f64 x (*.f64 x 134362287316698645903/100000000000000000000))))
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) 16316775383/10000000000)))
(fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -1427746267379707/1000000000000000) (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) 16316775383/10000000000))
(fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) (fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -1427746267379707/1000000000000000) 16316775383/10000000000))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 -3648757816023/62748003125 x) x))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 3648757816023/62748003125 x) x))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 -3648757816023/62748003125 x) x)) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (+.f64 (/.f64 3648757816023/62748003125 (*.f64 x x)) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))))
(-.f64 (+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 -3648757816023/62748003125 (*.f64 x x))) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 3648757816023/62748003125 (*.f64 x x)) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4))) (-.f64 (/.f64 3648757816023/62748003125 (*.f64 x x)) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 -3648757816023/62748003125 x) x))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 3648757816023/62748003125 x) x))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 -3648757816023/62748003125 x) x)) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (+.f64 (/.f64 3648757816023/62748003125 (*.f64 x x)) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))))
(-.f64 (+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 -3648757816023/62748003125 (*.f64 x x))) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 3648757816023/62748003125 (*.f64 x x)) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4))) (-.f64 (/.f64 3648757816023/62748003125 (*.f64 x x)) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
99229/100000
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 (*.f64 4481/100000 x) 99229/100000)
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(*.f64 4481/100000 x)
(*.f64 x 4481/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
(+.f64 99229/100000 (*.f64 4481/100000 x))
(fma.f64 4481/100000 x 99229/100000)
(fma.f64 x 4481/100000 99229/100000)
16316775383/10000000000
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
(+.f64 16316775383/10000000000 (*.f64 1913510371/10000000000 x))
(+.f64 16316775383/10000000000 (*.f64 x 1913510371/10000000000))
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
16316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)))
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000))
(fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000))
(fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -2134856267379707/1000000000000000) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(+.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))))
(+.f64 (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) (*.f64 x (*.f64 x 134362287316698645903/100000000000000000000))) (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000))
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) 16316775383/10000000000)))
(fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -2134856267379707/1000000000000000) (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) 16316775383/10000000000))
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) 16316775383/10000000000))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x)))
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (fma.f64 x -70711/100000 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x)))
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (fma.f64 x -70711/100000 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))))

eval313.0ms (3.2%)

Compiler

Compiled 6818 to 5361 computations (21.4% saved)

prune113.0ms (1.1%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New30414318
Fresh000
Picked101
Done011
Total30515320
Error
0.0b
Counts
320 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
▶17.4b
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))
33.7b
16316775383/10000000000
0.1b
(fma.f64 x -70711/100000 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -1))
21.9b
(cbrt.f64 (pow.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x)) 3))
▶0.1b
(+.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (*.f64 x -70711/100000))
▶26.9b
(sqrt.f64 (*.f64 5000045521/10000000000 (pow.f64 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x) 2)))
▶29.9b
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) x))
1.4b
(pow.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))) 3)
29.3b
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
✓0.1b
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
1.4b
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2) (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))
21.9b
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3) (pow.f64 x 3)) 70711/100000) (fma.f64 x (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)))
▶29.0b
(*.f64 x -70711/100000)
17.9b
(pow.f64 (sqrt.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))) 2)
28.5b
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
Compiler

Compiled 564 to 438 computations (22.3% saved)

localize45.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 x -70711/100000)
0.2b
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
0.2b
(fma.f64 x 4481/100000 99229/100000)
16.2b
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
Compiler

Compiled 54 to 41 computations (24.1% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 x -70711/100000)
1.0ms
x
@inf
(*.f64 x -70711/100000)
1.0ms
x
@-inf
(*.f64 x -70711/100000)

rewrite63.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
345×pow1_binary64
339×add-sqr-sqrt_binary64
329×*-un-lft-identity_binary64
322×add-log-exp_binary64
322×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
1804
28754
Stop Event
1×node limit
Counts
1 → 25
Calls
Call 1
Inputs
(*.f64 x -70711/100000)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 x -70711/100000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 x) -70711/200000)) (log.f64 (pow.f64 (exp.f64 x) -70711/200000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -70711/50000) x))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -70711/100000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x -70711/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x -70711/100000)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 x -70711/100000)) (+.f64 1 (*.f64 x -70711/100000))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 x -70711/100000)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 x -70711/100000)) (+.f64 1 (*.f64 x -70711/100000))) 1) (+.f64 (+.f64 1 (*.f64 x -70711/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -70711/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -70711/100000) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -70711/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x -70711/100000)))) (sqrt.f64 (log.f64 (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x -70711/100000))) 2)) (cbrt.f64 (log.f64 (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x -70711/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -70711/100000) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x -70711/100000))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x -70711/100000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x -70711/100000))) 2))))))

simplify15.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0448
1548
Stop Event
1×saturated
Counts
37 → 26
Calls
Call 1
Inputs
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
Outputs
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)
(*.f64 -70711/100000 x)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(*.f64 x -70711/100000)
Compiler

Compiled 6 to 4 computations (33.3% saved)

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) x))
✓0.3b
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
✓0.3b
(/.f64 27061/4481 x)
✓0.7b
(/.f64 -1651231776/20079361 (*.f64 x x))
Compiler

Compiled 49 to 28 computations (42.9% saved)

series11.0ms (0.1%)

Counts
4 → 36
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@0
(/.f64 -1651231776/20079361 (*.f64 x x))
1.0ms
x
@0
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
1.0ms
x
@0
(/.f64 27061/4481 x)
1.0ms
x
@inf
(/.f64 -1651231776/20079361 (*.f64 x x))
1.0ms
x
@inf
(/.f64 27061/4481 x)

rewrite119.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
629×fma-def_binary64
572×log-prod_binary64
315×fma-neg_binary64
259×log-div_binary64
234×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01143
126639
2403239
Stop Event
1×node limit
Counts
4 → 163
Calls
Call 1
Inputs
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 27061/4481 x)
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1651231776/20079361 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1651231776/20079361) (pow.f64 x -2))) (cbrt.f64 (pow.f64 (exp.f64 -1651231776/20079361) (pow.f64 x -2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1651231776/20079361) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1651231776/20079361) (pow.f64 x -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1651231776/20079361) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1651231776/20079361 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1651231776/20079361 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2))) (cbrt.f64 (/.f64 2726566378072114176/403180738168321 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2726566378072114176/403180738168321 (pow.f64 x 4))) (cbrt.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -1651231776/20079361) x) (/.f64 (sqrt.f64 -1651231776/20079361) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1651231776/20079361 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) -1651231776/20079361)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1651231776/20079361 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -1651231776/20079361) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -4502193042845904546911256576/8095611589928196122881 (pow.f64 (pow.f64 x -2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) -20079361/1651231776) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 x x) -20079361/1651231776) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 2726566378072114176/403180738168321 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1651231776/20079361) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -4502193042845904546911256576/8095611589928196122881 (pow.f64 (pow.f64 x -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1651231776/20079361 (pow.f64 x -2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 27061/4481 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 27061/4481 x))) (cbrt.f64 (exp.f64 (/.f64 27061/4481 x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 27061/4481 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 27061/4481 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 27061/4481 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 27061/4481 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 27061/4481 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 27061/4481 x)) (pow.f64 (cbrt.f64 (/.f64 27061/4481 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 27061/4481 x)) 2) (cbrt.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 27061/4481 x)) (sqrt.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -27061/4481 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 27061/4481)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 27061/4481 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 27061/4481 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 27061/4481 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 4481/27061) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x 4481/27061) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 732297721/20079361 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 27061/4481 x)) 1))))))
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simplify77.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
796×fma-neg_binary64
625×associate-/l*_binary64
434×unswap-sqr_binary64
352×associate-*l*_binary64
318×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028362
167362
2124362
3236362
4612362
52036362
65327362
Stop Event
1×node limit
Counts
199 → 179
Calls
Call 1
Inputs
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(/.f64 27061/4481 x)
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(/.f64 27061/4481 x)
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(/.f64 -3648757816023/62748003125 (pow.f64 x 2))
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -70711/100000 x) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -70711/100000 x) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(*.f64 -70711/100000 x)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(*.f64 -70711/100000 x)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
Outputs
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(/.f64 -1651231776/20079361 (pow.f64 x 2))
(/.f64 -1651231776/20079361 (*.f64 x x))
(/.f64 (/.f64 -1651231776/20079361 x) x)
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
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(/.f64 27061/4481 x)
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(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
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(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
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(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
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(/.f64 27061/4481 x)
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(/.f64 -3648757816023/62748003125 (pow.f64 x 2))
(/.f64 -3648757816023/62748003125 (*.f64 x x))
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x)))
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(-.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (/.f64 -1913510371/448100000 x))
(-.f64 (+.f64 (*.f64 -70711/100000 x) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
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(*.f64 -70711/100000 x)
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(-.f64 (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x))) (/.f64 -1913510371/448100000 x))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(fma.f64 -70711/100000 x (/.f64 1913510371/448100000 x))
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -70711/100000 x (/.f64 1913510371/448100000 x)) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(-.f64 (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x))) (/.f64 -1913510371/448100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -70711/100000 x (/.f64 1913510371/448100000 x)) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(-.f64 (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x))) (/.f64 -1913510371/448100000 x))

localize82.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.5b
(pow.f64 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x) 2)
✓0.7b
(*.f64 5000045521/10000000000 (pow.f64 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x) 2))
✓16.1b
(sqrt.f64 (*.f64 5000045521/10000000000 (pow.f64 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x) 2)))
✓16.2b
(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
Compiler

Compiled 103 to 79 computations (23.3% saved)

series8.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 5000045521/10000000000 (pow.f64 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x) 2))
1.0ms
x
@0
(*.f64 5000045521/10000000000 (pow.f64 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x) 2))
1.0ms
x
@-inf
(*.f64 5000045521/10000000000 (pow.f64 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x) 2))
1.0ms
x
@0
(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
1.0ms
x
@-inf
(sqrt.f64 (*.f64 5000045521/10000000000 (pow.f64 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x) 2)))

rewrite139.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
685×log-prod_binary64
600×prod-diff_binary64
291×log1p-udef_binary64
290×fma-def_binary64
290×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01790
136485
2422785
Stop Event
1×node limit
Counts
4 → 115
Calls
Call 1
Inputs
(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
(sqrt.f64 (*.f64 5000045521/10000000000 (pow.f64 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x) 2)))
(*.f64 5000045521/10000000000 (pow.f64 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x) 2))
(pow.f64 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x) 2)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 70711/100000) (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))) (cbrt.f64 (pow.f64 (exp.f64 70711/100000) (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 70711/100000) (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 70711/100000) (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 70711/100000) (-.f64 (/.f64 (fma.f64 x 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#<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x) (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (*.f64 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x) (neg.f64 x)))))))

simplify81.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
634×times-frac_binary64
572×fma-neg_binary64
430×cancel-sign-sub-inv_binary64
371×fma-def_binary64
326×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0111626
1286590
2734582
31979582
44570582
Stop Event
1×node limit
Counts
163 → 174
Calls
Call 1
Inputs
230753/100000
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
(+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (+.f64 (*.f64 -20191289437/10000000000 x) (*.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3)))))
(/.f64 27061/4481 x)
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4)))))
(/.f64 27061/4481 x)
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4)))))
16316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(*.f64 -70711/100000 x)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(*.f64 -70711/100000 x)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
266237158899274796689/100000000000000000000
(+.f64 266237158899274796689/100000000000000000000 (*.f64 -34833970189824469091352781/5000000000000000000000000 x))
(+.f64 (*.f64 8942329806555778206890723817547/1000000000000000000000000000000 (pow.f64 x 2)) (+.f64 266237158899274796689/100000000000000000000 (*.f64 -34833970189824469091352781/5000000000000000000000000 x)))
(+.f64 (*.f64 8942329806555778206890723817547/1000000000000000000000000000000 (pow.f64 x 2)) (+.f64 266237158899274796689/100000000000000000000 (+.f64 (*.f64 -34833970189824469091352781/5000000000000000000000000 x) (*.f64 -246975377193783122731794719258490421/25000000000000000000000000000000000 (pow.f64 x 3)))))
(*.f64 5000045521/10000000000 (pow.f64 x 2))
(-.f64 (*.f64 5000045521/10000000000 (pow.f64 x 2)) 135306231843781/22405000000000)
(-.f64 (+.f64 (*.f64 258007313928802353/3137400156250000 (/.f64 1 x)) (*.f64 5000045521/10000000000 (pow.f64 x 2))) 135306231843781/22405000000000)
(-.f64 (+.f64 (*.f64 258007313928802353/3137400156250000 (/.f64 1 x)) (*.f64 5000045521/10000000000 (pow.f64 x 2))) (+.f64 135306231843781/22405000000000 (*.f64 1500846971454633760904247/899756166410000000000 (/.f64 1 (pow.f64 x 2)))))
(*.f64 5000045521/10000000000 (pow.f64 x 2))
(-.f64 (*.f64 5000045521/10000000000 (pow.f64 x 2)) 135306231843781/22405000000000)
(-.f64 (+.f64 (*.f64 258007313928802353/3137400156250000 (/.f64 1 x)) (*.f64 5000045521/10000000000 (pow.f64 x 2))) 135306231843781/22405000000000)
(-.f64 (+.f64 (*.f64 258007313928802353/3137400156250000 (/.f64 1 x)) (*.f64 5000045521/10000000000 (pow.f64 x 2))) (+.f64 135306231843781/22405000000000 (*.f64 1500846971454633760904247/899756166410000000000 (/.f64 1 (pow.f64 x 2)))))
53246947009/10000000000
(+.f64 (*.f64 -6966730611456061/500000000000000 x) 53246947009/10000000000)
(+.f64 (*.f64 -6966730611456061/500000000000000 x) (+.f64 53246947009/10000000000 (*.f64 1788449678907588930907/100000000000000000000 (pow.f64 x 2))))
(+.f64 (*.f64 -6966730611456061/500000000000000 x) (+.f64 53246947009/10000000000 (+.f64 (*.f64 -49394625740204960572356901/2500000000000000000000000 (pow.f64 x 3)) (*.f64 1788449678907588930907/100000000000000000000 (pow.f64 x 2)))))
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 54122/4481)
(-.f64 (+.f64 (pow.f64 x 2) (*.f64 3302463552/20079361 (/.f64 1 x))) 54122/4481)
(-.f64 (+.f64 (pow.f64 x 2) (*.f64 3302463552/20079361 (/.f64 1 x))) (+.f64 54122/4481 (*.f64 300166661513607/89975616641 (/.f64 1 (pow.f64 x 2)))))
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 54122/4481)
(-.f64 (+.f64 (pow.f64 x 2) (*.f64 3302463552/20079361 (/.f64 1 x))) 54122/4481)
(-.f64 (+.f64 (pow.f64 x 2) (*.f64 3302463552/20079361 (/.f64 1 x))) (+.f64 54122/4481 (*.f64 300166661513607/89975616641 (/.f64 1 (pow.f64 x 2)))))
Outputs
230753/100000
(+.f64 230753/100000 (*.f64 -20191289437/10000000000 x))
(fma.f64 -20191289437/10000000000 x 230753/100000)
(+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
(fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (+.f64 230753/100000 (*.f64 -20191289437/10000000000 x)))
(fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (fma.f64 -20191289437/10000000000 x 230753/100000))
(fma.f64 -20191289437/10000000000 x (fma.f64 x (*.f64 x 1900161040244073/1000000000000000) 230753/100000))
(+.f64 (*.f64 1900161040244073/1000000000000000 (pow.f64 x 2)) (+.f64 230753/100000 (+.f64 (*.f64 -20191289437/10000000000 x) (*.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3)))))
(fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (+.f64 230753/100000 (fma.f64 -20191289437/10000000000 x (*.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3)))))
(+.f64 (fma.f64 1900161040244073/1000000000000000 (*.f64 x x) (fma.f64 -20191289437/10000000000 x 230753/100000)) (*.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3)))
(fma.f64 x (*.f64 x 1900161040244073/1000000000000000) (fma.f64 -20191289437/10000000000 x (fma.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3) 230753/100000)))
(+.f64 230753/100000 (*.f64 x (+.f64 -20191289437/10000000000 (*.f64 x (+.f64 1900161040244073/1000000000000000 (*.f64 x -179503363065659419717/100000000000000000000))))))
(/.f64 27061/4481 x)
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(-.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 1651231776/20079361 x) x))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -1651231776/20079361 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (/.f64 1651231776/20079361 (*.f64 x x))) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4)))
(+.f64 (/.f64 27061/4481 x) (-.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1651231776/20079361 x) x) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4)))))
(+.f64 (/.f64 27061/4481 x) (+.f64 (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -1651231776/20079361 (*.f64 x x))) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4))) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -1651231776/20079361 (*.f64 x x))))
(/.f64 27061/4481 x)
(-.f64 (*.f64 27061/4481 (/.f64 1 x)) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 27061/4481 x) (/.f64 1651231776/20079361 (*.f64 x x)))
(-.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 1651231776/20079361 x) x))
(+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (/.f64 1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -1651231776/20079361 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 151724043800704/89975616641 (/.f64 1 (pow.f64 x 3))) (*.f64 27061/4481 (/.f64 1 x))) (+.f64 (*.f64 1651231776/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 14315508183474457216/403180738168321 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 151724043800704/89975616641 (pow.f64 x 3))) (/.f64 1651231776/20079361 (*.f64 x x))) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4)))
(+.f64 (/.f64 27061/4481 x) (-.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1651231776/20079361 x) x) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4)))))
(+.f64 (/.f64 27061/4481 x) (+.f64 (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -1651231776/20079361 (*.f64 x x))) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4))) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -1651231776/20079361 (*.f64 x x))))
16316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) (*.f64 (*.f64 x x) 134362287316698645903/100000000000000000000))
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 (*.f64 x x) 134362287316698645903/100000000000000000000 16316775383/10000000000))
(fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000))
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) 16316775383/10000000000))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(+.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000)))
(+.f64 (fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000) (fma.f64 (*.f64 x x) 134362287316698645903/100000000000000000000 (*.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000)))
(fma.f64 x -2134856267379707/1000000000000000 (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 (pow.f64 x 3) -12692862305735843227608787/10000000000000000000000000 16316775383/10000000000)))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(+.f64 (*.f64 x -70711/100000) (/.f64 1913510371/448100000 x))
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x)))))
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (-.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(+.f64 (*.f64 x -70711/100000) (/.f64 1913510371/448100000 x))
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x)))))
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (-.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))))
266237158899274796689/100000000000000000000
(+.f64 266237158899274796689/100000000000000000000 (*.f64 -34833970189824469091352781/5000000000000000000000000 x))
(+.f64 266237158899274796689/100000000000000000000 (*.f64 x -34833970189824469091352781/5000000000000000000000000))
(fma.f64 x -34833970189824469091352781/5000000000000000000000000 266237158899274796689/100000000000000000000)
(+.f64 (*.f64 8942329806555778206890723817547/1000000000000000000000000000000 (pow.f64 x 2)) (+.f64 266237158899274796689/100000000000000000000 (*.f64 -34833970189824469091352781/5000000000000000000000000 x)))
(fma.f64 8942329806555778206890723817547/1000000000000000000000000000000 (*.f64 x x) (+.f64 266237158899274796689/100000000000000000000 (*.f64 x -34833970189824469091352781/5000000000000000000000000)))
(fma.f64 (*.f64 x x) 8942329806555778206890723817547/1000000000000000000000000000000 (fma.f64 x -34833970189824469091352781/5000000000000000000000000 266237158899274796689/100000000000000000000))
(fma.f64 x -34833970189824469091352781/5000000000000000000000000 (fma.f64 (*.f64 x x) 8942329806555778206890723817547/1000000000000000000000000000000 266237158899274796689/100000000000000000000))
(fma.f64 x -34833970189824469091352781/5000000000000000000000000 (fma.f64 x (*.f64 x 8942329806555778206890723817547/1000000000000000000000000000000) 266237158899274796689/100000000000000000000))
(+.f64 (*.f64 8942329806555778206890723817547/1000000000000000000000000000000 (pow.f64 x 2)) (+.f64 266237158899274796689/100000000000000000000 (+.f64 (*.f64 -34833970189824469091352781/5000000000000000000000000 x) (*.f64 -246975377193783122731794719258490421/25000000000000000000000000000000000 (pow.f64 x 3)))))
(fma.f64 8942329806555778206890723817547/1000000000000000000000000000000 (*.f64 x x) (+.f64 266237158899274796689/100000000000000000000 (fma.f64 -34833970189824469091352781/5000000000000000000000000 x (*.f64 (pow.f64 x 3) -246975377193783122731794719258490421/25000000000000000000000000000000000))))
(+.f64 (fma.f64 (*.f64 x x) 8942329806555778206890723817547/1000000000000000000000000000000 (fma.f64 x -34833970189824469091352781/5000000000000000000000000 266237158899274796689/100000000000000000000)) (*.f64 (pow.f64 x 3) -246975377193783122731794719258490421/25000000000000000000000000000000000))
(fma.f64 x (*.f64 x 8942329806555778206890723817547/1000000000000000000000000000000) (fma.f64 (pow.f64 x 3) -246975377193783122731794719258490421/25000000000000000000000000000000000 (fma.f64 x -34833970189824469091352781/5000000000000000000000000 266237158899274796689/100000000000000000000)))
(*.f64 5000045521/10000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 5000045521/10000000000)
(*.f64 x (*.f64 x 5000045521/10000000000))
(-.f64 (*.f64 5000045521/10000000000 (pow.f64 x 2)) 135306231843781/22405000000000)
(fma.f64 5000045521/10000000000 (*.f64 x x) -135306231843781/22405000000000)
(fma.f64 (*.f64 x x) 5000045521/10000000000 -135306231843781/22405000000000)
(fma.f64 x (*.f64 x 5000045521/10000000000) -135306231843781/22405000000000)
(-.f64 (+.f64 (*.f64 258007313928802353/3137400156250000 (/.f64 1 x)) (*.f64 5000045521/10000000000 (pow.f64 x 2))) 135306231843781/22405000000000)
(+.f64 (/.f64 258007313928802353/3137400156250000 x) (fma.f64 5000045521/10000000000 (*.f64 x x) -135306231843781/22405000000000))
(+.f64 (fma.f64 (*.f64 x x) 5000045521/10000000000 -135306231843781/22405000000000) (/.f64 258007313928802353/3137400156250000 x))
(+.f64 (fma.f64 x (*.f64 x 5000045521/10000000000) -135306231843781/22405000000000) (/.f64 258007313928802353/3137400156250000 x))
(-.f64 (+.f64 (*.f64 258007313928802353/3137400156250000 (/.f64 1 x)) (*.f64 5000045521/10000000000 (pow.f64 x 2))) (+.f64 135306231843781/22405000000000 (*.f64 1500846971454633760904247/899756166410000000000 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 258007313928802353/3137400156250000 x) (fma.f64 5000045521/10000000000 (*.f64 x x) -135306231843781/22405000000000)) (/.f64 1500846971454633760904247/899756166410000000000 (*.f64 x x)))
(-.f64 (fma.f64 (*.f64 x x) 5000045521/10000000000 (/.f64 258007313928802353/3137400156250000 x)) (+.f64 135306231843781/22405000000000 (/.f64 1500846971454633760904247/899756166410000000000 (*.f64 x x))))
(+.f64 (fma.f64 x (*.f64 x 5000045521/10000000000) -135306231843781/22405000000000) (-.f64 (/.f64 258007313928802353/3137400156250000 x) (/.f64 1500846971454633760904247/899756166410000000000 (*.f64 x x))))
(+.f64 (fma.f64 x (*.f64 x 5000045521/10000000000) -135306231843781/22405000000000) (+.f64 (/.f64 258007313928802353/3137400156250000 x) (/.f64 (/.f64 -1500846971454633760904247/899756166410000000000 x) x)))
(*.f64 5000045521/10000000000 (pow.f64 x 2))
(*.f64 (*.f64 x x) 5000045521/10000000000)
(*.f64 x (*.f64 x 5000045521/10000000000))
(-.f64 (*.f64 5000045521/10000000000 (pow.f64 x 2)) 135306231843781/22405000000000)
(fma.f64 5000045521/10000000000 (*.f64 x x) -135306231843781/22405000000000)
(fma.f64 (*.f64 x x) 5000045521/10000000000 -135306231843781/22405000000000)
(fma.f64 x (*.f64 x 5000045521/10000000000) -135306231843781/22405000000000)
(-.f64 (+.f64 (*.f64 258007313928802353/3137400156250000 (/.f64 1 x)) (*.f64 5000045521/10000000000 (pow.f64 x 2))) 135306231843781/22405000000000)
(+.f64 (/.f64 258007313928802353/3137400156250000 x) (fma.f64 5000045521/10000000000 (*.f64 x x) -135306231843781/22405000000000))
(+.f64 (fma.f64 (*.f64 x x) 5000045521/10000000000 -135306231843781/22405000000000) (/.f64 258007313928802353/3137400156250000 x))
(+.f64 (fma.f64 x (*.f64 x 5000045521/10000000000) -135306231843781/22405000000000) (/.f64 258007313928802353/3137400156250000 x))
(-.f64 (+.f64 (*.f64 258007313928802353/3137400156250000 (/.f64 1 x)) (*.f64 5000045521/10000000000 (pow.f64 x 2))) (+.f64 135306231843781/22405000000000 (*.f64 1500846971454633760904247/899756166410000000000 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 258007313928802353/3137400156250000 x) (fma.f64 5000045521/10000000000 (*.f64 x x) -135306231843781/22405000000000)) (/.f64 1500846971454633760904247/899756166410000000000 (*.f64 x x)))
(-.f64 (fma.f64 (*.f64 x x) 5000045521/10000000000 (/.f64 258007313928802353/3137400156250000 x)) (+.f64 135306231843781/22405000000000 (/.f64 1500846971454633760904247/899756166410000000000 (*.f64 x x))))
(+.f64 (fma.f64 x (*.f64 x 5000045521/10000000000) -135306231843781/22405000000000) (-.f64 (/.f64 258007313928802353/3137400156250000 x) (/.f64 1500846971454633760904247/899756166410000000000 (*.f64 x x))))
(+.f64 (fma.f64 x (*.f64 x 5000045521/10000000000) -135306231843781/22405000000000) (+.f64 (/.f64 258007313928802353/3137400156250000 x) (/.f64 (/.f64 -1500846971454633760904247/899756166410000000000 x) x)))
53246947009/10000000000
(+.f64 (*.f64 -6966730611456061/500000000000000 x) 53246947009/10000000000)
(fma.f64 -6966730611456061/500000000000000 x 53246947009/10000000000)
(fma.f64 x -6966730611456061/500000000000000 53246947009/10000000000)
(+.f64 (*.f64 -6966730611456061/500000000000000 x) (+.f64 53246947009/10000000000 (*.f64 1788449678907588930907/100000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 -6966730611456061/500000000000000 x 53246947009/10000000000) (*.f64 (*.f64 x x) 1788449678907588930907/100000000000000000000))
(fma.f64 x -6966730611456061/500000000000000 (fma.f64 (*.f64 x x) 1788449678907588930907/100000000000000000000 53246947009/10000000000))
(fma.f64 x -6966730611456061/500000000000000 (fma.f64 x (*.f64 x 1788449678907588930907/100000000000000000000) 53246947009/10000000000))
(+.f64 (*.f64 -6966730611456061/500000000000000 x) (+.f64 53246947009/10000000000 (+.f64 (*.f64 -49394625740204960572356901/2500000000000000000000000 (pow.f64 x 3)) (*.f64 1788449678907588930907/100000000000000000000 (pow.f64 x 2)))))
(+.f64 (fma.f64 -6966730611456061/500000000000000 x 53246947009/10000000000) (fma.f64 -49394625740204960572356901/2500000000000000000000000 (pow.f64 x 3) (*.f64 (*.f64 x x) 1788449678907588930907/100000000000000000000)))
(+.f64 (fma.f64 x -6966730611456061/500000000000000 53246947009/10000000000) (fma.f64 (*.f64 x x) 1788449678907588930907/100000000000000000000 (*.f64 (pow.f64 x 3) -49394625740204960572356901/2500000000000000000000000)))
(fma.f64 x -6966730611456061/500000000000000 (fma.f64 x (*.f64 x 1788449678907588930907/100000000000000000000) (fma.f64 (pow.f64 x 3) -49394625740204960572356901/2500000000000000000000000 53246947009/10000000000)))
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 54122/4481)
(+.f64 (*.f64 x x) -54122/4481)
(fma.f64 x x -54122/4481)
(-.f64 (+.f64 (pow.f64 x 2) (*.f64 3302463552/20079361 (/.f64 1 x))) 54122/4481)
(+.f64 (*.f64 x x) (-.f64 (/.f64 3302463552/20079361 x) 54122/4481))
(+.f64 (/.f64 3302463552/20079361 x) (fma.f64 x x -54122/4481))
(+.f64 (fma.f64 x x -54122/4481) (/.f64 3302463552/20079361 x))
(-.f64 (+.f64 (pow.f64 x 2) (*.f64 3302463552/20079361 (/.f64 1 x))) (+.f64 54122/4481 (*.f64 300166661513607/89975616641 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 x x) (/.f64 3302463552/20079361 x)) (+.f64 54122/4481 (/.f64 300166661513607/89975616641 (*.f64 x x))))
(-.f64 (fma.f64 x x (/.f64 3302463552/20079361 x)) (+.f64 54122/4481 (/.f64 300166661513607/89975616641 (*.f64 x x))))
(+.f64 (fma.f64 x x (/.f64 3302463552/20079361 x)) (-.f64 -54122/4481 (/.f64 300166661513607/89975616641 (*.f64 x x))))
(+.f64 (fma.f64 x x -54122/4481) (-.f64 (/.f64 3302463552/20079361 x) (/.f64 300166661513607/89975616641 (*.f64 x x))))
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 54122/4481)
(+.f64 (*.f64 x x) -54122/4481)
(fma.f64 x x -54122/4481)
(-.f64 (+.f64 (pow.f64 x 2) (*.f64 3302463552/20079361 (/.f64 1 x))) 54122/4481)
(+.f64 (*.f64 x x) (-.f64 (/.f64 3302463552/20079361 x) 54122/4481))
(+.f64 (/.f64 3302463552/20079361 x) (fma.f64 x x -54122/4481))
(+.f64 (fma.f64 x x -54122/4481) (/.f64 3302463552/20079361 x))
(-.f64 (+.f64 (pow.f64 x 2) (*.f64 3302463552/20079361 (/.f64 1 x))) (+.f64 54122/4481 (*.f64 300166661513607/89975616641 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 x x) (/.f64 3302463552/20079361 x)) (+.f64 54122/4481 (/.f64 300166661513607/89975616641 (*.f64 x x))))
(-.f64 (fma.f64 x x (/.f64 3302463552/20079361 x)) (+.f64 54122/4481 (/.f64 300166661513607/89975616641 (*.f64 x x))))
(+.f64 (fma.f64 x x (/.f64 3302463552/20079361 x)) (-.f64 -54122/4481 (/.f64 300166661513607/89975616641 (*.f64 x x))))
(+.f64 (fma.f64 x x -54122/4481) (-.f64 (/.f64 3302463552/20079361 x) (/.f64 300166661513607/89975616641 (*.f64 x x))))

localize56.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.5b
(*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (*.f64 x x)) 70711/100000)
✓0.6b
(pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)
16.2b
(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
✓16.6b
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))
Compiler

Compiled 140 to 101 computations (27.9% saved)

series5.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)
1.0ms
x
@0
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))
0.0ms
x
@inf
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))
0.0ms
x
@-inf
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))
0.0ms
x
@inf
(*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (*.f64 x x)) 70711/100000)

rewrite108.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
548×fma-def_binary64
351×log1p-udef_binary64
350×expm1-udef_binary64
312×fma-neg_binary64
274×log-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01996
142296
2555996
Stop Event
1×node limit
Counts
3 → 103
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))
(pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)
(*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (*.f64 x x)) 70711/100000)
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (*.f64 x x)) 70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (*.f64 x x)) 70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (*.f64 x x)) 70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (*.f64 x x)) 70711/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) 70711/100000 (*.f64 (*.f64 x (neg.f64 x)) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 70711/100000 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (*.f64 70711/100000 (*.f64 x (neg.f64 x))))))))

simplify64.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
957×fma-def_binary64
529×associate-/l*_binary64
503×fma-neg_binary64
388×cancel-sign-sub-inv_binary64
350×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
092563
1243543
2606537
31715519
45039519
Stop Event
1×node limit
Counts
139 → 148
Calls
Call 1
Inputs
16316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(*.f64 -70711/100000 x)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(*.f64 -70711/100000 x)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
53246947009/10000000000
(+.f64 (*.f64 -4659200611456061/500000000000000 x) 53246947009/10000000000)
(+.f64 (*.f64 -4659200611456061/500000000000000 x) (+.f64 53246947009/10000000000 (*.f64 1284623890167588930907/100000000000000000000 (pow.f64 x 2))))
(+.f64 (*.f64 -4659200611456061/500000000000000 x) (+.f64 53246947009/10000000000 (+.f64 (*.f64 1284623890167588930907/100000000000000000000 (pow.f64 x 2)) (*.f64 -39893820538984595572356901/2500000000000000000000000 (pow.f64 x 3)))))
(/.f64 732297721/20079361 (pow.f64 x 2))
(-.f64 (*.f64 732297721/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 89367966180672/89975616641 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 10938175076653816064/403180738168321 (/.f64 1 (pow.f64 x 4))) (*.f64 732297721/20079361 (/.f64 1 (pow.f64 x 2)))) (*.f64 89367966180672/89975616641 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 10938175076653816064/403180738168321 (/.f64 1 (pow.f64 x 4))) (*.f64 732297721/20079361 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1275847058519881085384960/1806652887732246401 (/.f64 1 (pow.f64 x 5))) (*.f64 89367966180672/89975616641 (/.f64 1 (pow.f64 x 3)))))
(/.f64 732297721/20079361 (pow.f64 x 2))
(-.f64 (*.f64 732297721/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 89367966180672/89975616641 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 10938175076653816064/403180738168321 (/.f64 1 (pow.f64 x 4))) (*.f64 732297721/20079361 (/.f64 1 (pow.f64 x 2)))) (*.f64 89367966180672/89975616641 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 10938175076653816064/403180738168321 (/.f64 1 (pow.f64 x 4))) (*.f64 732297721/20079361 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1275847058519881085384960/1806652887732246401 (/.f64 1 (pow.f64 x 5))) (*.f64 89367966180672/89975616641 (/.f64 1 (pow.f64 x 3)))))
3765144869953399/1000000000000000
(+.f64 3765144869953399/1000000000000000 (*.f64 -329456734436669529371/50000000000000000000 x))
(+.f64 (*.f64 83765939897640380893364877/10000000000000000000000000 (pow.f64 x 2)) (+.f64 3765144869953399/1000000000000000 (*.f64 -329456734436669529371/50000000000000000000 x)))
(+.f64 (*.f64 83765939897640380893364877/10000000000000000000000000 (pow.f64 x 2)) (+.f64 3765144869953399/1000000000000000 (+.f64 (*.f64 -329456734436669529371/50000000000000000000 x) (*.f64 -2820931944132139737516928826611/250000000000000000000000000000 (pow.f64 x 3)))))
(*.f64 -70711/100000 (pow.f64 x 2))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 -70711/100000 (pow.f64 x 2)) (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2)))) (*.f64 197478070518796806/281173802003125 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 24170290557664624615672/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 -70711/100000 (pow.f64 x 2)) (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))))) (*.f64 197478070518796806/281173802003125 (/.f64 1 (pow.f64 x 3))))
(*.f64 -70711/100000 (pow.f64 x 2))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 -70711/100000 (pow.f64 x 2)) (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2)))) (*.f64 197478070518796806/281173802003125 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 24170290557664624615672/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 -70711/100000 (pow.f64 x 2)) (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))))) (*.f64 197478070518796806/281173802003125 (/.f64 1 (pow.f64 x 3))))
Outputs
16316775383/10000000000
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)))
(fma.f64 -2134856267379707/1000000000000000 x (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000))
(fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -2134856267379707/1000000000000000) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(+.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))))
(+.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) (*.f64 x (*.f64 x 134362287316698645903/100000000000000000000))))
(fma.f64 -2134856267379707/1000000000000000 x (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) 16316775383/10000000000)))
(fma.f64 (*.f64 x x) (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000) (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(+.f64 (*.f64 x -70711/100000) (/.f64 1913510371/448100000 x))
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(fma.f64 x -70711/100000 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x)))))
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (-.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 (/.f64 3648757816023/62748003125 x) x)))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x))) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(+.f64 (*.f64 x -70711/100000) (/.f64 1913510371/448100000 x))
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
(-.f64 (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(fma.f64 x -70711/100000 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x)))))
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (-.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 (/.f64 3648757816023/62748003125 x) x)))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x))) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))))
53246947009/10000000000
(+.f64 (*.f64 -4659200611456061/500000000000000 x) 53246947009/10000000000)
(fma.f64 -4659200611456061/500000000000000 x 53246947009/10000000000)
(fma.f64 x -4659200611456061/500000000000000 53246947009/10000000000)
(+.f64 (*.f64 -4659200611456061/500000000000000 x) (+.f64 53246947009/10000000000 (*.f64 1284623890167588930907/100000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 -4659200611456061/500000000000000 x 53246947009/10000000000) (*.f64 (*.f64 x x) 1284623890167588930907/100000000000000000000))
(fma.f64 x -4659200611456061/500000000000000 (fma.f64 (*.f64 x x) 1284623890167588930907/100000000000000000000 53246947009/10000000000))
(fma.f64 x -4659200611456061/500000000000000 (fma.f64 x (*.f64 x 1284623890167588930907/100000000000000000000) 53246947009/10000000000))
(fma.f64 x (fma.f64 x 1284623890167588930907/100000000000000000000 -4659200611456061/500000000000000) 53246947009/10000000000)
(+.f64 (*.f64 -4659200611456061/500000000000000 x) (+.f64 53246947009/10000000000 (+.f64 (*.f64 1284623890167588930907/100000000000000000000 (pow.f64 x 2)) (*.f64 -39893820538984595572356901/2500000000000000000000000 (pow.f64 x 3)))))
(+.f64 (fma.f64 -4659200611456061/500000000000000 x 53246947009/10000000000) (fma.f64 1284623890167588930907/100000000000000000000 (*.f64 x x) (*.f64 (pow.f64 x 3) -39893820538984595572356901/2500000000000000000000000)))
(+.f64 (fma.f64 x -4659200611456061/500000000000000 53246947009/10000000000) (fma.f64 (*.f64 x x) 1284623890167588930907/100000000000000000000 (*.f64 (pow.f64 x 3) -39893820538984595572356901/2500000000000000000000000)))
(fma.f64 x -4659200611456061/500000000000000 (fma.f64 x (*.f64 x 1284623890167588930907/100000000000000000000) (fma.f64 (pow.f64 x 3) -39893820538984595572356901/2500000000000000000000000 53246947009/10000000000)))
(fma.f64 x -4659200611456061/500000000000000 (fma.f64 (*.f64 x x) (fma.f64 x -39893820538984595572356901/2500000000000000000000000 1284623890167588930907/100000000000000000000) 53246947009/10000000000))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 (/.f64 732297721/20079361 x) x)
(-.f64 (*.f64 732297721/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 89367966180672/89975616641 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (/.f64 89367966180672/89975616641 (pow.f64 x 3)))
(+.f64 (/.f64 732297721/20079361 (*.f64 x x)) (/.f64 -89367966180672/89975616641 (pow.f64 x 3)))
(+.f64 (/.f64 (/.f64 732297721/20079361 x) x) (/.f64 -89367966180672/89975616641 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 10938175076653816064/403180738168321 (/.f64 1 (pow.f64 x 4))) (*.f64 732297721/20079361 (/.f64 1 (pow.f64 x 2)))) (*.f64 89367966180672/89975616641 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 10938175076653816064/403180738168321 (pow.f64 x 4)) (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (/.f64 89367966180672/89975616641 (pow.f64 x 3))))
(+.f64 (/.f64 732297721/20079361 (*.f64 x x)) (-.f64 (/.f64 10938175076653816064/403180738168321 (pow.f64 x 4)) (/.f64 89367966180672/89975616641 (pow.f64 x 3))))
(+.f64 (/.f64 732297721/20079361 (*.f64 x x)) (+.f64 (/.f64 10938175076653816064/403180738168321 (pow.f64 x 4)) (/.f64 -89367966180672/89975616641 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 732297721/20079361 x) x) (+.f64 (/.f64 10938175076653816064/403180738168321 (pow.f64 x 4)) (/.f64 -89367966180672/89975616641 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 10938175076653816064/403180738168321 (/.f64 1 (pow.f64 x 4))) (*.f64 732297721/20079361 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1275847058519881085384960/1806652887732246401 (/.f64 1 (pow.f64 x 5))) (*.f64 89367966180672/89975616641 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 10938175076653816064/403180738168321 (pow.f64 x 4)) (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (+.f64 (/.f64 89367966180672/89975616641 (pow.f64 x 3)) (/.f64 1275847058519881085384960/1806652887732246401 (pow.f64 x 5)))))
(+.f64 (/.f64 732297721/20079361 (*.f64 x x)) (-.f64 (/.f64 10938175076653816064/403180738168321 (pow.f64 x 4)) (+.f64 (/.f64 89367966180672/89975616641 (pow.f64 x 3)) (/.f64 1275847058519881085384960/1806652887732246401 (pow.f64 x 5)))))
(-.f64 (+.f64 (/.f64 732297721/20079361 (*.f64 x x)) (/.f64 10938175076653816064/403180738168321 (pow.f64 x 4))) (-.f64 (/.f64 1275847058519881085384960/1806652887732246401 (pow.f64 x 5)) (/.f64 -89367966180672/89975616641 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 (/.f64 732297721/20079361 x) x) (/.f64 -1275847058519881085384960/1806652887732246401 (pow.f64 x 5))) (+.f64 (/.f64 10938175076653816064/403180738168321 (pow.f64 x 4)) (/.f64 -89367966180672/89975616641 (pow.f64 x 3))))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 (/.f64 732297721/20079361 x) x)
(-.f64 (*.f64 732297721/20079361 (/.f64 1 (pow.f64 x 2))) (*.f64 89367966180672/89975616641 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (/.f64 89367966180672/89975616641 (pow.f64 x 3)))
(+.f64 (/.f64 732297721/20079361 (*.f64 x x)) (/.f64 -89367966180672/89975616641 (pow.f64 x 3)))
(+.f64 (/.f64 (/.f64 732297721/20079361 x) x) (/.f64 -89367966180672/89975616641 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 10938175076653816064/403180738168321 (/.f64 1 (pow.f64 x 4))) (*.f64 732297721/20079361 (/.f64 1 (pow.f64 x 2)))) (*.f64 89367966180672/89975616641 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 10938175076653816064/403180738168321 (pow.f64 x 4)) (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (/.f64 89367966180672/89975616641 (pow.f64 x 3))))
(+.f64 (/.f64 732297721/20079361 (*.f64 x x)) (-.f64 (/.f64 10938175076653816064/403180738168321 (pow.f64 x 4)) (/.f64 89367966180672/89975616641 (pow.f64 x 3))))
(+.f64 (/.f64 732297721/20079361 (*.f64 x x)) (+.f64 (/.f64 10938175076653816064/403180738168321 (pow.f64 x 4)) (/.f64 -89367966180672/89975616641 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 732297721/20079361 x) x) (+.f64 (/.f64 10938175076653816064/403180738168321 (pow.f64 x 4)) (/.f64 -89367966180672/89975616641 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 10938175076653816064/403180738168321 (/.f64 1 (pow.f64 x 4))) (*.f64 732297721/20079361 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1275847058519881085384960/1806652887732246401 (/.f64 1 (pow.f64 x 5))) (*.f64 89367966180672/89975616641 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 10938175076653816064/403180738168321 (pow.f64 x 4)) (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (+.f64 (/.f64 89367966180672/89975616641 (pow.f64 x 3)) (/.f64 1275847058519881085384960/1806652887732246401 (pow.f64 x 5)))))
(+.f64 (/.f64 732297721/20079361 (*.f64 x x)) (-.f64 (/.f64 10938175076653816064/403180738168321 (pow.f64 x 4)) (+.f64 (/.f64 89367966180672/89975616641 (pow.f64 x 3)) (/.f64 1275847058519881085384960/1806652887732246401 (pow.f64 x 5)))))
(-.f64 (+.f64 (/.f64 732297721/20079361 (*.f64 x x)) (/.f64 10938175076653816064/403180738168321 (pow.f64 x 4))) (-.f64 (/.f64 1275847058519881085384960/1806652887732246401 (pow.f64 x 5)) (/.f64 -89367966180672/89975616641 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 (/.f64 732297721/20079361 x) x) (/.f64 -1275847058519881085384960/1806652887732246401 (pow.f64 x 5))) (+.f64 (/.f64 10938175076653816064/403180738168321 (pow.f64 x 4)) (/.f64 -89367966180672/89975616641 (pow.f64 x 3))))
3765144869953399/1000000000000000
(+.f64 3765144869953399/1000000000000000 (*.f64 -329456734436669529371/50000000000000000000 x))
(+.f64 3765144869953399/1000000000000000 (*.f64 x -329456734436669529371/50000000000000000000))
(fma.f64 x -329456734436669529371/50000000000000000000 3765144869953399/1000000000000000)
(+.f64 (*.f64 83765939897640380893364877/10000000000000000000000000 (pow.f64 x 2)) (+.f64 3765144869953399/1000000000000000 (*.f64 -329456734436669529371/50000000000000000000 x)))
(fma.f64 83765939897640380893364877/10000000000000000000000000 (*.f64 x x) (+.f64 3765144869953399/1000000000000000 (*.f64 x -329456734436669529371/50000000000000000000)))
(fma.f64 (*.f64 x x) 83765939897640380893364877/10000000000000000000000000 (fma.f64 x -329456734436669529371/50000000000000000000 3765144869953399/1000000000000000))
(fma.f64 x -329456734436669529371/50000000000000000000 (fma.f64 (*.f64 x x) 83765939897640380893364877/10000000000000000000000000 3765144869953399/1000000000000000))
(fma.f64 x (fma.f64 x 83765939897640380893364877/10000000000000000000000000 -329456734436669529371/50000000000000000000) 3765144869953399/1000000000000000)
(+.f64 (*.f64 83765939897640380893364877/10000000000000000000000000 (pow.f64 x 2)) (+.f64 3765144869953399/1000000000000000 (+.f64 (*.f64 -329456734436669529371/50000000000000000000 x) (*.f64 -2820931944132139737516928826611/250000000000000000000000000000 (pow.f64 x 3)))))
(fma.f64 83765939897640380893364877/10000000000000000000000000 (*.f64 x x) (+.f64 3765144869953399/1000000000000000 (fma.f64 -329456734436669529371/50000000000000000000 x (*.f64 (pow.f64 x 3) -2820931944132139737516928826611/250000000000000000000000000000))))
(fma.f64 (*.f64 x x) 83765939897640380893364877/10000000000000000000000000 (+.f64 (fma.f64 x -329456734436669529371/50000000000000000000 3765144869953399/1000000000000000) (*.f64 (pow.f64 x 3) -2820931944132139737516928826611/250000000000000000000000000000)))
(fma.f64 x (*.f64 x 83765939897640380893364877/10000000000000000000000000) (fma.f64 x -329456734436669529371/50000000000000000000 (fma.f64 (pow.f64 x 3) -2820931944132139737516928826611/250000000000000000000000000000 3765144869953399/1000000000000000)))
(fma.f64 x (*.f64 x (fma.f64 x -2820931944132139737516928826611/250000000000000000000000000000 83765939897640380893364877/10000000000000000000000000)) (fma.f64 x -329456734436669529371/50000000000000000000 3765144869953399/1000000000000000))
(*.f64 -70711/100000 (pow.f64 x 2))
(*.f64 (*.f64 x x) -70711/100000)
(*.f64 x (*.f64 x -70711/100000))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(fma.f64 -70711/100000 (*.f64 x x) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(fma.f64 (*.f64 x x) -70711/100000 (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(fma.f64 x (*.f64 x -70711/100000) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 -70711/100000 (pow.f64 x 2)) (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2)))) (*.f64 197478070518796806/281173802003125 (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 -70711/100000 (*.f64 x x) (/.f64 51781504149631/2007936100000 (*.f64 x x))) (/.f64 197478070518796806/281173802003125 (pow.f64 x 3)))
(+.f64 (fma.f64 (*.f64 x x) -70711/100000 (/.f64 51781504149631/2007936100000 (*.f64 x x))) (/.f64 -197478070518796806/281173802003125 (pow.f64 x 3)))
(+.f64 (/.f64 51781504149631/2007936100000 (*.f64 x x)) (fma.f64 x (*.f64 x -70711/100000) (/.f64 -197478070518796806/281173802003125 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 24170290557664624615672/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 -70711/100000 (pow.f64 x 2)) (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))))) (*.f64 197478070518796806/281173802003125 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 24170290557664624615672/1259939806776003125 (pow.f64 x 4)) (-.f64 (fma.f64 -70711/100000 (*.f64 x x) (/.f64 51781504149631/2007936100000 (*.f64 x x))) (/.f64 197478070518796806/281173802003125 (pow.f64 x 3))))
(+.f64 (fma.f64 (*.f64 x x) -70711/100000 (/.f64 51781504149631/2007936100000 (*.f64 x x))) (-.f64 (/.f64 24170290557664624615672/1259939806776003125 (pow.f64 x 4)) (/.f64 197478070518796806/281173802003125 (pow.f64 x 3))))
(+.f64 (/.f64 51781504149631/2007936100000 (*.f64 x x)) (-.f64 (fma.f64 (*.f64 x x) -70711/100000 (/.f64 24170290557664624615672/1259939806776003125 (pow.f64 x 4))) (/.f64 197478070518796806/281173802003125 (pow.f64 x 3))))
(+.f64 (/.f64 51781504149631/2007936100000 (*.f64 x x)) (fma.f64 x (*.f64 x -70711/100000) (-.f64 (/.f64 24170290557664624615672/1259939806776003125 (pow.f64 x 4)) (/.f64 197478070518796806/281173802003125 (pow.f64 x 3)))))
(*.f64 -70711/100000 (pow.f64 x 2))
(*.f64 (*.f64 x x) -70711/100000)
(*.f64 x (*.f64 x -70711/100000))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(fma.f64 -70711/100000 (*.f64 x x) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(fma.f64 (*.f64 x x) -70711/100000 (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(fma.f64 x (*.f64 x -70711/100000) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 -70711/100000 (pow.f64 x 2)) (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2)))) (*.f64 197478070518796806/281173802003125 (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 -70711/100000 (*.f64 x x) (/.f64 51781504149631/2007936100000 (*.f64 x x))) (/.f64 197478070518796806/281173802003125 (pow.f64 x 3)))
(+.f64 (fma.f64 (*.f64 x x) -70711/100000 (/.f64 51781504149631/2007936100000 (*.f64 x x))) (/.f64 -197478070518796806/281173802003125 (pow.f64 x 3)))
(+.f64 (/.f64 51781504149631/2007936100000 (*.f64 x x)) (fma.f64 x (*.f64 x -70711/100000) (/.f64 -197478070518796806/281173802003125 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 24170290557664624615672/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 -70711/100000 (pow.f64 x 2)) (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))))) (*.f64 197478070518796806/281173802003125 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 24170290557664624615672/1259939806776003125 (pow.f64 x 4)) (-.f64 (fma.f64 -70711/100000 (*.f64 x x) (/.f64 51781504149631/2007936100000 (*.f64 x x))) (/.f64 197478070518796806/281173802003125 (pow.f64 x 3))))
(+.f64 (fma.f64 (*.f64 x x) -70711/100000 (/.f64 51781504149631/2007936100000 (*.f64 x x))) (-.f64 (/.f64 24170290557664624615672/1259939806776003125 (pow.f64 x 4)) (/.f64 197478070518796806/281173802003125 (pow.f64 x 3))))
(+.f64 (/.f64 51781504149631/2007936100000 (*.f64 x x)) (-.f64 (fma.f64 (*.f64 x x) -70711/100000 (/.f64 24170290557664624615672/1259939806776003125 (pow.f64 x 4))) (/.f64 197478070518796806/281173802003125 (pow.f64 x 3))))
(+.f64 (/.f64 51781504149631/2007936100000 (*.f64 x x)) (fma.f64 x (*.f64 x -70711/100000) (-.f64 (/.f64 24170290557664624615672/1259939806776003125 (pow.f64 x 4)) (/.f64 197478070518796806/281173802003125 (pow.f64 x 3)))))

eval1.5s (15.6%)

Compiler

Compiled 21678 to 16425 computations (24.2% saved)

prune247.0ms (2.5%)

Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New79213805
Fresh729
Picked101
Done325
Total80317820
Error
0.0b
Counts
820 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
29.5b
(pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 3)
▶18.7b
(/.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))
▶0.1b
(+.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)) (*.f64 x -70711/100000))
28.5b
(+.f64 (+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000) (*.f64 x -70711/100000))
0.1b
(+.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -1) (*.f64 x -70711/100000))
▶50.7b
(cbrt.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)))
✓29.0b
(*.f64 x -70711/100000)
50.9b
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x -70711/100000)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 x -70711/100000)) (+.f64 1 (*.f64 x -70711/100000))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 x -70711/100000)) 1))))
29.3b
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
33.7b
16316775383/10000000000
▶28.5b
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
46.2b
(pow.f64 (sqrt.f64 (*.f64 x -70711/100000)) 2)
1.4b
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x) 70711/100000)) 2) (cbrt.f64 (*.f64 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x) 70711/100000)))
55.2b
(sqrt.f64 (*.f64 5000045521/10000000000 (*.f64 x x)))
▶29.9b
(+.f64 (-.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 3648757816023/62748003125 x) x)) (*.f64 x -70711/100000))
✓0.1b
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
17.4b
(*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (*.f64 x x)) (/.f64 1 (*.f64 (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 100000/70711)))
Compiler

Compiled 494 to 391 computations (20.9% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 x -70711/100000)
0.2b
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
0.4b
(*.f64 x 4481/100000)
✓16.2b
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1))
Compiler

Compiled 61 to 47 computations (23% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1))
0.0ms
x
@inf
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1))
0.0ms
x
@-inf
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1))

rewrite107.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
504×log-prod_binary64
406×exp-prod_binary64
311×pow2_binary64
269×pow-prod-down_binary64
217×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01216
125616
2302216
Stop Event
1×node limit
Counts
1 → 47
Calls
Call 1
Inputs
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) 2)) (*.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x 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egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) -2) (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) 2)) (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))) (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 2))) (/.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (cbrt.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (fma.f64 x 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(log.f64 (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1) 1))))))

simplify63.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
784×fma-def_binary64
739×associate-*l*_binary64
495×associate-*r*_binary64
417×times-frac_binary64
289×associate-*r/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
040181
1102179
2246177
3656171
41970168
57530168
Stop Event
1×node limit
Counts
59 → 61
Calls
Call 1
Inputs
16316775383/10000000000
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
Outputs
16316775383/10000000000
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000)
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)))
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000))
(fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000))
(fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -1427746267379707/1000000000000000) 16316775383/10000000000)
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(+.f64 (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000) (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))))
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) 16316775383/10000000000)))
(fma.f64 (*.f64 x x) (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000) (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000))
(fma.f64 x (fma.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000) -1427746267379707/1000000000000000) 16316775383/10000000000)
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x))) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 1913510371/448100000 x) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4))) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x))) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 1913510371/448100000 x) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4))) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(+.f64 (/.f64 -3648757816023/62748003125 (*.f64 x x)) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
✓0.3b
(*.f64 -2134856267379707/1000000000000000 x)
Compiler

Compiled 12 to 9 computations (25% saved)

series2.0ms (0%)

Counts
2 → 3
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 -2134856267379707/1000000000000000 x)
0.0ms
x
@inf
(*.f64 -2134856267379707/1000000000000000 x)
0.0ms
x
@-inf
(*.f64 -2134856267379707/1000000000000000 x)
0.0ms
x
@inf
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
0.0ms
x
@-inf
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)

rewrite80.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
642×pow1_binary64
607×add-log-exp_binary64
607×log1p-expm1-u_binary64
607×expm1-log1p-u_binary64
598×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
11339
215899
Stop Event
1×node limit
Counts
2 → 43
Calls
Call 1
Inputs
(*.f64 -2134856267379707/1000000000000000 x)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -2134856267379707/1000000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2134856267379707/1000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2134856267379707/1000000000000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -2134856267379707/1000000000000000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) -9729845010448944041464861582745334487291706243/1000000000000000000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -2134856267379707/1000000000000000 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2134856267379707/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) -9729845010448944041464861582745334487291706243/1000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2134856267379707/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2134856267379707/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2134856267379707/1000000000000000 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 -2134856267379707/1000000000000000 x) 2) (fma.f64 -2134856267379707/1000000000000000 x -16316775383/10000000000)) (/.f64 266237158899274796689/100000000000000000000 (fma.f64 -2134856267379707/1000000000000000 x -16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)) (pow.f64 (cbrt.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)) 2) (cbrt.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)) (sqrt.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 4344131920367546379167405106887/1000000000000000000000000000000 (*.f64 (pow.f64 x 3) -9729845010448944041464861582745334487291706243/1000000000000000000000000000000000000000000000)) (/.f64 1 (+.f64 (pow.f64 (*.f64 -2134856267379707/1000000000000000 x) 2) (-.f64 266237158899274796689/100000000000000000000 (*.f64 x -34833970189824469091352781/10000000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 -2134856267379707/1000000000000000 x) 2) -266237158899274796689/100000000000000000000) (/.f64 1 (fma.f64 -2134856267379707/1000000000000000 x -16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 -2134856267379707/1000000000000000 x) 2) (-.f64 266237158899274796689/100000000000000000000 (*.f64 x -34833970189824469091352781/10000000000000000000000000))) (+.f64 4344131920367546379167405106887/1000000000000000000000000000000 (*.f64 (pow.f64 x 3) -9729845010448944041464861582745334487291706243/1000000000000000000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 -2134856267379707/1000000000000000 x -16316775383/10000000000) (+.f64 (pow.f64 (*.f64 -2134856267379707/1000000000000000 x) 2) -266237158899274796689/100000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 4344131920367546379167405106887/1000000000000000000000000000000 (*.f64 (pow.f64 x 3) -9729845010448944041464861582745334487291706243/1000000000000000000000000000000000000000000000)) (+.f64 (pow.f64 (*.f64 -2134856267379707/1000000000000000 x) 2) (-.f64 266237158899274796689/100000000000000000000 (*.f64 x -34833970189824469091352781/10000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 4344131920367546379167405106887/1000000000000000000000000000000 (*.f64 (pow.f64 x 3) -9729845010448944041464861582745334487291706243/1000000000000000000000000000000000000000000000)) (+.f64 266237158899274796689/100000000000000000000 (-.f64 (pow.f64 (*.f64 -2134856267379707/1000000000000000 x) 2) (*.f64 x -34833970189824469091352781/10000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -2134856267379707/1000000000000000 x) 2) -266237158899274796689/100000000000000000000) (fma.f64 -2134856267379707/1000000000000000 x -16316775383/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 4344131920367546379167405106887/1000000000000000000000000000000 (*.f64 (pow.f64 x 3) -9729845010448944041464861582745334487291706243/1000000000000000000000000000000000000000000000))) (neg.f64 (+.f64 (pow.f64 (*.f64 -2134856267379707/1000000000000000 x) 2) (-.f64 266237158899274796689/100000000000000000000 (*.f64 x -34833970189824469091352781/10000000000000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 -2134856267379707/1000000000000000 x) 2) -266237158899274796689/100000000000000000000)) (neg.f64 (fma.f64 -2134856267379707/1000000000000000 x -16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 266237158899274796689/100000000000000000000 (pow.f64 (*.f64 -2134856267379707/1000000000000000 x) 2)) (-.f64 16316775383/10000000000 (*.f64 -2134856267379707/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2134856267379707/1000000000000000 x 16316775383/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -2134856267379707/1000000000000000 16316775383/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -2134856267379707/1000000000000000 x)) 2) (cbrt.f64 (*.f64 -2134856267379707/1000000000000000 x)) 16316775383/10000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -2134856267379707/1000000000000000 x)) (sqrt.f64 (*.f64 -2134856267379707/1000000000000000 x)) 16316775383/10000000000)))))

simplify8.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
059
169
Stop Event
1×saturated
Counts
46 → 45
Calls
Call 1
Inputs
16316775383/10000000000
(*.f64 -2134856267379707/1000000000000000 x)
(*.f64 -2134856267379707/1000000000000000 x)
Outputs
16316775383/10000000000
(*.f64 -2134856267379707/1000000000000000 x)
(*.f64 -2134856267379707/1000000000000000 x)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 x -70711/100000)
✓0.2b
(/.f64 1913510371/448100000 x)
✓0.3b
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 3648757816023/62748003125 x) x))
✓0.4b
(/.f64 3648757816023/62748003125 x)
Compiler

Compiled 41 to 28 computations (31.7% saved)

series58.0ms (0.6%)

Counts
3 → 12
Calls

9 calls:

TimeVariablePointExpression
54.0ms
x
@-inf
(/.f64 1913510371/448100000 x)
1.0ms
x
@0
(/.f64 3648757816023/62748003125 x)
1.0ms
x
@0
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 3648757816023/62748003125 x) x))
1.0ms
x
@inf
(/.f64 3648757816023/62748003125 x)
0.0ms
x
@inf
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 3648757816023/62748003125 x) x))

rewrite150.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
881×prod-diff_binary64
467×log-prod_binary64
320×fma-def_binary64
271×egg-rr
268×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
119618
2297918
Stop Event
1×node limit
Counts
3 → 325
Calls
Call 1
Inputs
(/.f64 3648757816023/62748003125 x)
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 3648757816023/62748003125 x) x))
(/.f64 1913510371/448100000 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 3648757816023/62748003125 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 3648757816023/62748003125 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 3648757816023/62748003125 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 3648757816023/62748003125 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 3648757816023/62748003125 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 3648757816023/62748003125 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3648757816023/62748003125 (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3648757816023/62748003125 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 3648757816023/62748003125 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 3648757816023/62748003125 x)) (pow.f64 (cbrt.f64 (/.f64 3648757816023/62748003125 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 3648757816023/62748003125 x)) 2) (cbrt.f64 (/.f64 3648757816023/62748003125 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 3648757816023/62748003125 x)) (sqrt.f64 (/.f64 3648757816023/62748003125 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -3648757816023/62748003125 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1) 3648757816023/62748003125)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3648757816023/62748003125 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 13313433599988932715536529/3937311896175009765625 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 3648757816023/62748003125 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 3648757816023/62748003125 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 3648757816023/62748003125 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 62748003125/3648757816023) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x 62748003125/3648757816023) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 13313433599988932715536529/3937311896175009765625 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 3648757816023/62748003125 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 3648757816023/62748003125 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 3648757816023/62748003125 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 3648757816023/62748003125 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 3648757816023/62748003125 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 3648757816023/62748003125 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 3648757816023/62748003125 x)) 1))))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1913510371/448100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1913510371/448100000 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1913510371/448100000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1913510371/448100000 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1913510371/448100000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1913510371/448100000 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1913510371/448100000 (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1913510371/448100000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1913510371/448100000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1913510371/448100000 x)) (pow.f64 (cbrt.f64 (/.f64 1913510371/448100000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1913510371/448100000 x)) 2) (cbrt.f64 (/.f64 1913510371/448100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1913510371/448100000 x)) (sqrt.f64 (/.f64 1913510371/448100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1913510371/448100000 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1) 1913510371/448100000)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1913510371/448100000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1913510371/448100000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1913510371/448100000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 7006360205689680003640794811/89975616641000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 448100000/1913510371) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x 448100000/1913510371) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 3661521939924557641/200793610000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1913510371/448100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1913510371/448100000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 7006360205689680003640794811/89975616641000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1913510371/448100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1913510371/448100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1913510371/448100000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1913510371/448100000 x)) 1))))))

simplify70.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
751×times-frac_binary64
657×fma-neg_binary64
533×div-sub_binary64
522×associate-/l/_binary64
434×unswap-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015132
132132
257132
3113132
4293132
51035132
64823132
77508132
Stop Event
1×node limit
Counts
337 → 330
Calls
Call 1
Inputs
(/.f64 -3648757816023/62748003125 (pow.f64 x 2))
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
Outputs
(/.f64 -3648757816023/62748003125 (pow.f64 x 2))
(/.f64 -3648757816023/62748003125 (*.f64 x x))
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))
✓37.7b
(cbrt.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)))
Compiler

Compiled 18 to 14 computations (22.2% saved)

series9.0ms (0.1%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
5.0ms
x
@0
(cbrt.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)))
2.0ms
x
@-inf
(cbrt.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)))
1.0ms
x
@0
(*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))
1.0ms
x
@inf
(*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))
1.0ms
x
@-inf
(*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))

rewrite71.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
581×pow1_binary64
550×add-log-exp_binary64
550×log1p-expm1-u_binary64
550×expm1-log1p-u_binary64
537×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
114913
2153513
Stop Event
1×node limit
Counts
2 → 34
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)))
(*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (cbrt.f64 -353558218835431/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -353558218835431/1000000000000000) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))) (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))) 2) (cbrt.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))) (sqrt.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 x (cbrt.f64 -353558218835431/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000)) 2) 1/3) (cbrt.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sqrt.f64 -353558218835431/1000000000000000) (pow.f64 x 3/2)) 1/3) (pow.f64 (*.f64 (sqrt.f64 -353558218835431/1000000000000000) (pow.f64 x 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 -353558218835431/1000000000000000) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 -353558218835431/1000000000000000) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 -353558218835431/1000000000000000) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cbrt.f64 -353558218835431/1000000000000000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -353558218835431/1000000000000000) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 125003414106082515941860955761/1000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -353558218835431/1000000000000000) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))))))))

simplify16.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
42×fma-def_binary64
9×sub-neg_binary64
6×+-commutative_binary64
6×distribute-rgt-in_binary64
5×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01080
11680
22980
33380
43780
55580
67780
78880
810480
913780
Stop Event
1×saturated
Counts
46 → 36
Calls
Call 1
Inputs
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 -1 (*.f64 (cbrt.f64 353558218835431/1000000000000000) x))
(*.f64 -1 (*.f64 (cbrt.f64 353558218835431/1000000000000000) x))
(*.f64 -1 (*.f64 (cbrt.f64 353558218835431/1000000000000000) x))
(*.f64 -1 (*.f64 (cbrt.f64 353558218835431/1000000000000000) x))
Outputs
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(*.f64 -1 (*.f64 (cbrt.f64 353558218835431/1000000000000000) x))
(neg.f64 (*.f64 x (cbrt.f64 353558218835431/1000000000000000)))
(*.f64 (cbrt.f64 353558218835431/1000000000000000) (neg.f64 x))
(*.f64 -1 (*.f64 (cbrt.f64 353558218835431/1000000000000000) x))
(neg.f64 (*.f64 x (cbrt.f64 353558218835431/1000000000000000)))
(*.f64 (cbrt.f64 353558218835431/1000000000000000) (neg.f64 x))
(*.f64 -1 (*.f64 (cbrt.f64 353558218835431/1000000000000000) x))
(neg.f64 (*.f64 x (cbrt.f64 353558218835431/1000000000000000)))
(*.f64 (cbrt.f64 353558218835431/1000000000000000) (neg.f64 x))
(*.f64 -1 (*.f64 (cbrt.f64 353558218835431/1000000000000000) x))
(neg.f64 (*.f64 x (cbrt.f64 353558218835431/1000000000000000)))
(*.f64 (cbrt.f64 353558218835431/1000000000000000) (neg.f64 x))

localize37.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(fma.f64 x 27061/100000 230753/100000)
✓0.6b
(*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000)
16.2b
(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
✓16.6b
(/.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))
Compiler

Compiled 87 to 60 computations (31% saved)

series7.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000)
1.0ms
x
@inf
(/.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))
1.0ms
x
@0
(/.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))
0.0ms
x
@-inf
(/.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))
0.0ms
x
@inf
(*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000)

rewrite100.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
890×prod-diff_binary64
337×log1p-udef_binary64
336×expm1-udef_binary64
196×add-sqr-sqrt_binary64
186×add-cbrt-cube_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01846
139846
2516446
Stop Event
1×node limit
Counts
3 → 88
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))
(*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000)
(fma.f64 x 27061/100000 230753/100000)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 70711/100000 (/.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 53246947009/10000000000 (*.f64 (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 100000/70711)) (/.f64 (*.f64 x x) (*.f64 (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 100000/70711)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (/.f64 1 (*.f64 (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 100000/70711)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (*.f64 70711/100000 (/.f64 1 (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 70711/100000 (/.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 70711/100000 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (/.f64 1 (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000) (/.f64 1 (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 70711/100000 (/.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 70711/100000 (/.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 70711/100000 (/.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (pow.f64 (cbrt.f64 (*.f64 70711/100000 (/.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 70711/100000 (/.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) 2) (cbrt.f64 (*.f64 70711/100000 (/.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000)) 2) (*.f64 (cbrt.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000)) (/.f64 1 (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 70711/100000 (/.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (sqrt.f64 (*.f64 70711/100000 (/.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000)) (*.f64 (sqrt.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000)) (/.f64 1 (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) -70711/100000) (/.f64 1 (neg.f64 (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 1) (/.f64 70711/100000 (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 70711/100000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000)) (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000)) 1) (/.f64 (sqrt.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000)) (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2)) (/.f64 70711/100000 (cbrt.f64 (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 70711/100000 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2)) (/.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) (cbrt.f64 (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2)) (/.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000) (cbrt.f64 (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) 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simplify68.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
697×fma-def_binary64
597×associate-*l*_binary64
536×unswap-sqr_binary64
382×associate-*r*_binary64
368×fma-neg_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
042340
1106288
2241288
3597282
41556279
55196275
Stop Event
1×node limit
Counts
124 → 113
Calls
Call 1
Inputs
16316775383/10000000000
(+.f64 (*.f64 720636267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 720636267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 -4801779391488163597/3605515625000000000 (pow.f64 x 2))))
(+.f64 (*.f64 720636267379707/1000000000000000 x) (+.f64 (*.f64 4668785323117764685243729/53246947009000000000000000 (pow.f64 x 3)) (+.f64 16316775383/10000000000 (*.f64 -4801779391488163597/3605515625000000000 (pow.f64 x 2)))))
(*.f64 -70711/100000 x)
(+.f64 (*.f64 36006717872261180919/4481000000000000000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(-.f64 (+.f64 (*.f64 36006717872261180919/4481000000000000000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 36006717872261180919/4481000000000000000 (/.f64 1 x)) (+.f64 (*.f64 102919401724434620200699366621/89975616641000000000000000 (/.f64 1 (pow.f64 x 3))) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(*.f64 -70711/100000 x)
(+.f64 (*.f64 36006717872261180919/4481000000000000000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(-.f64 (+.f64 (*.f64 36006717872261180919/4481000000000000000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 36006717872261180919/4481000000000000000 (/.f64 1 x)) (+.f64 (*.f64 102919401724434620200699366621/89975616641000000000000000 (/.f64 1 (pow.f64 x 3))) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
3765144869953399/1000000000000000
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (pow.f64 x 2)))
(*.f64 -70711/100000 (pow.f64 x 2))
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (pow.f64 x 2)))
(*.f64 -70711/100000 (pow.f64 x 2))
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (pow.f64 x 2)))
230753/100000
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 27061/100000 x))
(*.f64 27061/100000 x)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 27061/100000 x))
(*.f64 27061/100000 x)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 27061/100000 x))
Outputs
16316775383/10000000000
(+.f64 (*.f64 720636267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 720636267379707/1000000000000000 x 16316775383/10000000000)
(+.f64 (*.f64 720636267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 -4801779391488163597/3605515625000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 720636267379707/1000000000000000 x 16316775383/10000000000) (*.f64 -4801779391488163597/3605515625000000000 (*.f64 x x)))
(fma.f64 720636267379707/1000000000000000 x (fma.f64 -4801779391488163597/3605515625000000000 (*.f64 x x) 16316775383/10000000000))
(fma.f64 x (*.f64 x -4801779391488163597/3605515625000000000) (fma.f64 720636267379707/1000000000000000 x 16316775383/10000000000))
(fma.f64 x (fma.f64 x -4801779391488163597/3605515625000000000 720636267379707/1000000000000000) 16316775383/10000000000)
(+.f64 (*.f64 720636267379707/1000000000000000 x) (+.f64 (*.f64 4668785323117764685243729/53246947009000000000000000 (pow.f64 x 3)) (+.f64 16316775383/10000000000 (*.f64 -4801779391488163597/3605515625000000000 (pow.f64 x 2)))))
(fma.f64 720636267379707/1000000000000000 x (fma.f64 4668785323117764685243729/53246947009000000000000000 (pow.f64 x 3) (+.f64 16316775383/10000000000 (*.f64 -4801779391488163597/3605515625000000000 (*.f64 x x)))))
(fma.f64 720636267379707/1000000000000000 x (fma.f64 4668785323117764685243729/53246947009000000000000000 (pow.f64 x 3) (fma.f64 -4801779391488163597/3605515625000000000 (*.f64 x x) 16316775383/10000000000)))
(fma.f64 4668785323117764685243729/53246947009000000000000000 (pow.f64 x 3) (fma.f64 x (*.f64 x -4801779391488163597/3605515625000000000) (fma.f64 720636267379707/1000000000000000 x 16316775383/10000000000)))
(fma.f64 720636267379707/1000000000000000 x (fma.f64 (*.f64 x x) (fma.f64 x 4668785323117764685243729/53246947009000000000000000 -4801779391488163597/3605515625000000000) 16316775383/10000000000))
(fma.f64 x (fma.f64 x (fma.f64 x 4668785323117764685243729/53246947009000000000000000 -4801779391488163597/3605515625000000000) 720636267379707/1000000000000000) 16316775383/10000000000)
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 (*.f64 36006717872261180919/4481000000000000000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(+.f64 (*.f64 x -70711/100000) (/.f64 36006717872261180919/4481000000000000000 x))
(fma.f64 x -70711/100000 (/.f64 36006717872261180919/4481000000000000000 x))
(-.f64 (+.f64 (*.f64 36006717872261180919/4481000000000000000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 36006717872261180919/4481000000000000000 x) (-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 36006717872261180919/4481000000000000000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 36006717872261180919/4481000000000000000 x) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x)))
(+.f64 (fma.f64 x -70711/100000 (/.f64 36006717872261180919/4481000000000000000 x)) (/.f64 (/.f64 -3648757816023/62748003125 x) x))
(+.f64 (fma.f64 x -70711/100000 (/.f64 36006717872261180919/4481000000000000000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 36006717872261180919/4481000000000000000 (/.f64 1 x)) (+.f64 (*.f64 102919401724434620200699366621/89975616641000000000000000 (/.f64 1 (pow.f64 x 3))) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 36006717872261180919/4481000000000000000 x) (+.f64 (*.f64 x -70711/100000) (/.f64 102919401724434620200699366621/89975616641000000000000000 (pow.f64 x 3)))) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (fma.f64 x -70711/100000 (/.f64 102919401724434620200699366621/89975616641000000000000000 (pow.f64 x 3))) (-.f64 (/.f64 36006717872261180919/4481000000000000000 x) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 36006717872261180919/4481000000000000000 x) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x))) (/.f64 102919401724434620200699366621/89975616641000000000000000 (pow.f64 x 3)))
(+.f64 (/.f64 36006717872261180919/4481000000000000000 x) (+.f64 (/.f64 102919401724434620200699366621/89975616641000000000000000 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))))
(+.f64 (fma.f64 x -70711/100000 (/.f64 36006717872261180919/4481000000000000000 x)) (*.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 102919401724434620200699366621/89975616641000000000000000 x) -3648757816023/62748003125)))
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 102919401724434620200699366621/89975616641000000000000000 x) -3648757816023/62748003125) (fma.f64 x -70711/100000 (/.f64 36006717872261180919/4481000000000000000 x)))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 (*.f64 36006717872261180919/4481000000000000000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(+.f64 (*.f64 x -70711/100000) (/.f64 36006717872261180919/4481000000000000000 x))
(fma.f64 x -70711/100000 (/.f64 36006717872261180919/4481000000000000000 x))
(-.f64 (+.f64 (*.f64 36006717872261180919/4481000000000000000 (/.f64 1 x)) (*.f64 -70711/100000 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 36006717872261180919/4481000000000000000 x) (-.f64 (*.f64 x -70711/100000) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 36006717872261180919/4481000000000000000 x) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 36006717872261180919/4481000000000000000 x) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x)))
(+.f64 (fma.f64 x -70711/100000 (/.f64 36006717872261180919/4481000000000000000 x)) (/.f64 (/.f64 -3648757816023/62748003125 x) x))
(+.f64 (fma.f64 x -70711/100000 (/.f64 36006717872261180919/4481000000000000000 x)) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 36006717872261180919/4481000000000000000 (/.f64 1 x)) (+.f64 (*.f64 102919401724434620200699366621/89975616641000000000000000 (/.f64 1 (pow.f64 x 3))) (*.f64 -70711/100000 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 36006717872261180919/4481000000000000000 x) (+.f64 (*.f64 x -70711/100000) (/.f64 102919401724434620200699366621/89975616641000000000000000 (pow.f64 x 3)))) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (fma.f64 x -70711/100000 (/.f64 102919401724434620200699366621/89975616641000000000000000 (pow.f64 x 3))) (-.f64 (/.f64 36006717872261180919/4481000000000000000 x) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 36006717872261180919/4481000000000000000 x) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 x) x))) (/.f64 102919401724434620200699366621/89975616641000000000000000 (pow.f64 x 3)))
(+.f64 (/.f64 36006717872261180919/4481000000000000000 x) (+.f64 (/.f64 102919401724434620200699366621/89975616641000000000000000 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 -3648757816023/62748003125 (*.f64 x x)))))
(+.f64 (fma.f64 x -70711/100000 (/.f64 36006717872261180919/4481000000000000000 x)) (*.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 102919401724434620200699366621/89975616641000000000000000 x) -3648757816023/62748003125)))
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 102919401724434620200699366621/89975616641000000000000000 x) -3648757816023/62748003125) (fma.f64 x -70711/100000 (/.f64 36006717872261180919/4481000000000000000 x)))
3765144869953399/1000000000000000
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 3765144869953399/1000000000000000 (*.f64 (*.f64 x x) -70711/100000))
(fma.f64 (*.f64 x x) -70711/100000 3765144869953399/1000000000000000)
(fma.f64 x (*.f64 x -70711/100000) 3765144869953399/1000000000000000)
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 3765144869953399/1000000000000000 (*.f64 (*.f64 x x) -70711/100000))
(fma.f64 (*.f64 x x) -70711/100000 3765144869953399/1000000000000000)
(fma.f64 x (*.f64 x -70711/100000) 3765144869953399/1000000000000000)
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 3765144869953399/1000000000000000 (*.f64 (*.f64 x x) -70711/100000))
(fma.f64 (*.f64 x x) -70711/100000 3765144869953399/1000000000000000)
(fma.f64 x (*.f64 x -70711/100000) 3765144869953399/1000000000000000)
(*.f64 -70711/100000 (pow.f64 x 2))
(*.f64 (*.f64 x x) -70711/100000)
(*.f64 x (*.f64 x -70711/100000))
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 3765144869953399/1000000000000000 (*.f64 (*.f64 x x) -70711/100000))
(fma.f64 (*.f64 x x) -70711/100000 3765144869953399/1000000000000000)
(fma.f64 x (*.f64 x -70711/100000) 3765144869953399/1000000000000000)
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 3765144869953399/1000000000000000 (*.f64 (*.f64 x x) -70711/100000))
(fma.f64 (*.f64 x x) -70711/100000 3765144869953399/1000000000000000)
(fma.f64 x (*.f64 x -70711/100000) 3765144869953399/1000000000000000)
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 3765144869953399/1000000000000000 (*.f64 (*.f64 x x) -70711/100000))
(fma.f64 (*.f64 x x) -70711/100000 3765144869953399/1000000000000000)
(fma.f64 x (*.f64 x -70711/100000) 3765144869953399/1000000000000000)
(*.f64 -70711/100000 (pow.f64 x 2))
(*.f64 (*.f64 x x) -70711/100000)
(*.f64 x (*.f64 x -70711/100000))
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 3765144869953399/1000000000000000 (*.f64 (*.f64 x x) -70711/100000))
(fma.f64 (*.f64 x x) -70711/100000 3765144869953399/1000000000000000)
(fma.f64 x (*.f64 x -70711/100000) 3765144869953399/1000000000000000)
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 3765144869953399/1000000000000000 (*.f64 (*.f64 x x) -70711/100000))
(fma.f64 (*.f64 x x) -70711/100000 3765144869953399/1000000000000000)
(fma.f64 x (*.f64 x -70711/100000) 3765144869953399/1000000000000000)
(+.f64 3765144869953399/1000000000000000 (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 3765144869953399/1000000000000000 (*.f64 (*.f64 x x) -70711/100000))
(fma.f64 (*.f64 x x) -70711/100000 3765144869953399/1000000000000000)
(fma.f64 x (*.f64 x -70711/100000) 3765144869953399/1000000000000000)
230753/100000
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(*.f64 27061/100000 x)
(*.f64 x 27061/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)
(+.f64 230753/100000 (*.f64 27061/100000 x))
(+.f64 230753/100000 (*.f64 x 27061/100000))
(fma.f64 x 27061/100000 230753/100000)

eval851.0ms (8.7%)

Compiler

Compiled 19271 to 14129 computations (26.7% saved)

prune200.0ms (2%)

Pruning

16 alts after pruning (12 fresh and 4 done)

PrunedKeptTotal
New7326738
Fresh4610
Picked101
Done246
Total73916755
Error
0b
Counts
755 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
17.8b
(+.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x 1913510371/10000000000) 2) 266237158899274796689/100000000000000000000) (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)) (*.f64 x -70711/100000))
46.3b
(pow.f64 (sqrt.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))) 2)
✓50.7b
(cbrt.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)))
✓29.0b
(*.f64 x -70711/100000)
▶29.3b
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
50.9b
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x -70711/100000)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 x -70711/100000)) (+.f64 1 (*.f64 x -70711/100000))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 x -70711/100000)) 1))))
▶29.3b
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
33.7b
16316775383/10000000000
✓28.5b
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
▶29.5b
(pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 3)
46.2b
(pow.f64 (sqrt.f64 (*.f64 x -70711/100000)) 2)
28.5b
(+.f64 (+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000) (*.f64 x -70711/100000))
▶0.1b
(+.f64 (/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)) (*.f64 x -70711/100000))
19.1b
(/.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000) (+.f64 x 230753/100000))
✓0.1b
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
▶29.9b
(+.f64 (/.f64 (+.f64 1913510371/448100000 (/.f64 -3648757816023/62748003125 x)) x) (*.f64 x -70711/100000))
Compiler

Compiled 331 to 270 computations (18.4% saved)

localize79.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 x -70711/100000)
✓0.4b
(*.f64 x 1913510371/10000000000)
0.4b
(*.f64 x 4481/100000)
✓16.2b
(/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1))
Compiler

Compiled 67 to 52 computations (22.4% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1))
0.0ms
x
@inf
(*.f64 x 1913510371/10000000000)
0.0ms
x
@-inf
(*.f64 x 1913510371/10000000000)
0.0ms
x
@0
(*.f64 x 1913510371/10000000000)
0.0ms
x
@inf
(/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1))

rewrite76.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
592×log-prod_binary64
353×pow2_binary64
334×prod-diff_binary64
245×log1p-udef_binary64
244×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01320
128620
2353320
Stop Event
1×node limit
Counts
2 → 56
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1))
(*.f64 x 1913510371/10000000000)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 2) (*.f64 (cbrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 2) (cbrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (*.f64 (sqrt.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (/.f64 1 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (sqrt.f64 (/.f64 (fma.f64 x 1913510371/10000000000 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#<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (neg.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 1913510371/10000000000 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 1913510371/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1913510371/10000000000)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1913510371/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 1913510371/10000000000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 1913510371/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 1913510371/10000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1913510371/10000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1913510371/10000000000) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1913510371/10000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1913510371/10000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 7006360205689680003640794811/1000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 1913510371/10000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 1913510371/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1913510371/10000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 7006360205689680003640794811/1000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1913510371/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1913510371/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1913510371/10000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 1913510371/10000000000)) 1))))))

simplify64.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
823×distribute-neg-frac_binary64
784×fma-def_binary64
683×associate-*r*_binary64
417×times-frac_binary64
290×associate-/l/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
042229
1105227
2249225
3662219
41988216
56953216
Stop Event
1×node limit
Counts
80 → 72
Calls
Call 1
Inputs
16316775383/10000000000
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
(*.f64 1913510371/10000000000 x)
(*.f64 1913510371/10000000000 x)
(*.f64 1913510371/10000000000 x)
(*.f64 1913510371/10000000000 x)
(*.f64 1913510371/10000000000 x)
(*.f64 1913510371/10000000000 x)
(*.f64 1913510371/10000000000 x)
(*.f64 1913510371/10000000000 x)
(*.f64 1913510371/10000000000 x)
(*.f64 1913510371/10000000000 x)
(*.f64 1913510371/10000000000 x)
(*.f64 1913510371/10000000000 x)
Outputs
16316775383/10000000000
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000)
(fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000)
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2))))
(+.f64 (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000) (*.f64 134362287316698645903/100000000000000000000 (*.f64 x x)))
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) 16316775383/10000000000))
(fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000))
(fma.f64 x (fma.f64 x 134362287316698645903/100000000000000000000 -1427746267379707/1000000000000000) 16316775383/10000000000)
(+.f64 (*.f64 -1427746267379707/1000000000000000 x) (+.f64 16316775383/10000000000 (+.f64 (*.f64 134362287316698645903/100000000000000000000 (pow.f64 x 2)) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3)))))
(+.f64 (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000) (fma.f64 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))))
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3) (fma.f64 x (*.f64 x 134362287316698645903/100000000000000000000) 16316775383/10000000000)))
(fma.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000))
(fma.f64 x (fma.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000) -1427746267379707/1000000000000000) 16316775383/10000000000)
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 -3648757816023/62748003125 x) x))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 (/.f64 -3648757816023/62748003125 x) x)))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (+.f64 (/.f64 3648757816023/62748003125 (*.f64 x x)) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (/.f64 1913510371/448100000 x) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 1913510371/448100000 x) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 (/.f64 -3648757816023/62748003125 x) x))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -3648757816023/62748003125 x) x) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 -3648757816023/62748003125 x) x))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 (/.f64 -3648757816023/62748003125 x) x)))
(-.f64 (+.f64 (*.f64 335267464412236892/281173802003125 (/.f64 1 (pow.f64 x 3))) (*.f64 1913510371/448100000 (/.f64 1 x))) (+.f64 (*.f64 31633246848801948256268/1259939806776003125 (/.f64 1 (pow.f64 x 4))) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 335267464412236892/281173802003125 (pow.f64 x 3))) (+.f64 (/.f64 3648757816023/62748003125 (*.f64 x x)) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (/.f64 1913510371/448100000 x) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4)))) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 1913510371/448100000 x) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))) (/.f64 3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (/.f64 (/.f64 -3648757816023/62748003125 x) x))))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -3648757816023/62748003125 x) x) (/.f64 -31633246848801948256268/1259939806776003125 (pow.f64 x 4)))))
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)
(*.f64 1913510371/10000000000 x)
(*.f64 x 1913510371/10000000000)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
0.3b
(/.f64 27061/4481 x)
Compiler

Compiled 19 to 13 computations (31.6% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
0.0ms
x
@-inf
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
0.0ms
x
@inf
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))

rewrite56.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
829×pow1_binary64
782×add-log-exp_binary64
782×log1p-expm1-u_binary64
782×expm1-log1p-u_binary64
768×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
115910
2208610
Stop Event
1×node limit
Counts
1 → 17
Calls
Call 1
Inputs
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 27061/4481 x) 70711/100000) (*.f64 (neg.f64 x) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 70711/100000 (/.f64 27061/4481 x)) (*.f64 70711/100000 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) (pow.f64 x 3)) 70711/100000) (+.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x (+.f64 x (/.f64 27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 70711/100000 (-.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) (pow.f64 x 3))) (+.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x (+.f64 x (/.f64 27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 70711/100000 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x))) (+.f64 x (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 (/.f64 27061/4481 x) x)) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))))))))

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
4×fma-def_binary64
2×*-commutative_binary64
1×+-commutative_binary64
1×associate-*r/_binary64
1×1-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
010102
11784
22184
Stop Event
1×saturated
Counts
29 → 22
Calls
Call 1
Inputs
(/.f64 1913510371/448100000 x)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(*.f64 -70711/100000 x)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(*.f64 -70711/100000 x)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
Outputs
(/.f64 1913510371/448100000 x)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))
(+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))
(+.f64 (/.f64 1913510371/448100000 x) (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1913510371/448100000 (/.f64 -3648757816023/62748003125 x))
0.2b
(*.f64 x -70711/100000)
✓0.2b
(/.f64 (+.f64 1913510371/448100000 (/.f64 -3648757816023/62748003125 x)) x)
✓0.4b
(/.f64 -3648757816023/62748003125 x)
Compiler

Compiled 34 to 25 computations (26.5% saved)

series3.0ms (0%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 -3648757816023/62748003125 x)
0.0ms
x
@0
(/.f64 (+.f64 1913510371/448100000 (/.f64 -3648757816023/62748003125 x)) x)
0.0ms
x
@-inf
(/.f64 (+.f64 1913510371/448100000 (/.f64 -3648757816023/62748003125 x)) x)
0.0ms
x
@inf
(/.f64 (+.f64 1913510371/448100000 (/.f64 -3648757816023/62748003125 x)) x)
0.0ms
x
@inf
(+.f64 1913510371/448100000 (/.f64 -3648757816023/62748003125 x))

rewrite83.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
882×pow1_binary64
836×add-log-exp_binary64
836×log1p-expm1-u_binary64
836×expm1-log1p-u_binary64
823×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0721
116321
2217921
Stop Event
1×node limit
Counts
3 → 82
Calls
Call 1
Inputs
(/.f64 -3648757816023/62748003125 x)
(/.f64 (+.f64 1913510371/448100000 (/.f64 -3648757816023/62748003125 x)) x)
(+.f64 1913510371/448100000 (/.f64 -3648757816023/62748003125 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -3648757816023/62748003125 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -3648757816023/62748003125 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -3648757816023/62748003125 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -3648757816023/62748003125 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -3648757816023/62748003125 x)) (pow.f64 (cbrt.f64 (/.f64 -3648757816023/62748003125 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -3648757816023/62748003125 x)) 2) (cbrt.f64 (/.f64 -3648757816023/62748003125 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -3648757816023/62748003125 x)) (sqrt.f64 (/.f64 -3648757816023/62748003125 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3648757816023/62748003125 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) -3648757816023/62748003125)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -3648757816023/62748003125 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -3648757816023/62748003125 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -3648757816023/62748003125 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -48577494906062844732111760274718004167/247058459165289188320343017578125 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -62748003125/3648757816023) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -3648757816023/62748003125 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -3648757816023/62748003125 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 -48577494906062844732111760274718004167/247058459165289188320343017578125 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -3648757816023/62748003125 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -3648757816023/62748003125 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -3648757816023/62748003125 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000) x)) 2) (cbrt.f64 (/.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000)) (*.f64 (sqrt.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000) x)) (sqrt.f64 (/.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 (/.f64 -3648757816023/62748003125 x)) -1913510371/448100000) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000)) 1) (/.f64 (sqrt.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 3661521939924557641/200793610000000000 (-.f64 1913510371/448100000 (/.f64 -3648757816023/62748003125 x))) (/.f64 (pow.f64 (/.f64 -3648757816023/62748003125 x) 2) (-.f64 1913510371/448100000 (/.f64 -3648757816023/62748003125 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000)) 2) (cbrt.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000)) (sqrt.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 7006360205689680003640794811/89975616641000000000000000 (/.f64 -48577494906062844732111760274718004167/247058459165289188320343017578125 (pow.f64 x 3))) (/.f64 1 (+.f64 3661521939924557641/200793610000000000 (-.f64 (pow.f64 (/.f64 -3648757816023/62748003125 x) 2) (/.f64 -6981935922227320474533/28117380200312500000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 3661521939924557641/200793610000000000 (pow.f64 (/.f64 -3648757816023/62748003125 x) 2)) (/.f64 1 (-.f64 1913510371/448100000 (/.f64 -3648757816023/62748003125 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 3661521939924557641/200793610000000000 (-.f64 (pow.f64 (/.f64 -3648757816023/62748003125 x) 2) (/.f64 -6981935922227320474533/28117380200312500000 x))) (+.f64 7006360205689680003640794811/89975616641000000000000000 (/.f64 -48577494906062844732111760274718004167/247058459165289188320343017578125 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1913510371/448100000 (/.f64 -3648757816023/62748003125 x)) (-.f64 3661521939924557641/200793610000000000 (pow.f64 (/.f64 -3648757816023/62748003125 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 7006360205689680003640794811/89975616641000000000000000 (/.f64 -48577494906062844732111760274718004167/247058459165289188320343017578125 (pow.f64 x 3))) (+.f64 3661521939924557641/200793610000000000 (-.f64 (pow.f64 (/.f64 -3648757816023/62748003125 x) 2) (/.f64 -6981935922227320474533/28117380200312500000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 7006360205689680003640794811/89975616641000000000000000 (/.f64 -48577494906062844732111760274718004167/247058459165289188320343017578125 (pow.f64 x 3))) (+.f64 (pow.f64 (/.f64 -3648757816023/62748003125 x) 2) (-.f64 3661521939924557641/200793610000000000 (/.f64 -6981935922227320474533/28117380200312500000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 3661521939924557641/200793610000000000 (pow.f64 (/.f64 -3648757816023/62748003125 x) 2)) (-.f64 1913510371/448100000 (/.f64 -3648757816023/62748003125 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 7006360205689680003640794811/89975616641000000000000000 (/.f64 -48577494906062844732111760274718004167/247058459165289188320343017578125 (pow.f64 x 3)))) (neg.f64 (+.f64 3661521939924557641/200793610000000000 (-.f64 (pow.f64 (/.f64 -3648757816023/62748003125 x) 2) (/.f64 -6981935922227320474533/28117380200312500000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 3661521939924557641/200793610000000000 (pow.f64 (/.f64 -3648757816023/62748003125 x) 2))) (neg.f64 (-.f64 1913510371/448100000 (/.f64 -3648757816023/62748003125 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 -3648757816023/62748003125 x) 2) 3661521939924557641/200793610000000000) (-.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3648757816023/62748003125 (/.f64 1 x) 1913510371/448100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -3648757816023/62748003125 x) 1913510371/448100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3648757816023/62748003125 x)) 2) (cbrt.f64 (/.f64 -3648757816023/62748003125 x)) 1913510371/448100000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -3648757816023/62748003125 x)) (sqrt.f64 (/.f64 -3648757816023/62748003125 x)) 1913510371/448100000)))))

simplify64.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
856×fma-neg_binary64
570×associate-/l*_binary64
541×fma-def_binary64
434×unswap-sqr_binary64
433×associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018201
141201
272201
3151201
4414201
51563201
64290201
76538201
Stop Event
1×node limit
Counts
106 → 91
Calls
Call 1
Inputs
(/.f64 -3648757816023/62748003125 (pow.f64 x 2))
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(/.f64 -3648757816023/62748003125 x)
(-.f64 1913510371/448100000 (*.f64 3648757816023/62748003125 (/.f64 1 x)))
(-.f64 1913510371/448100000 (*.f64 3648757816023/62748003125 (/.f64 1 x)))
(-.f64 1913510371/448100000 (*.f64 3648757816023/62748003125 (/.f64 1 x)))
1913510371/448100000
(-.f64 1913510371/448100000 (*.f64 3648757816023/62748003125 (/.f64 1 x)))
(-.f64 1913510371/448100000 (*.f64 3648757816023/62748003125 (/.f64 1 x)))
(-.f64 1913510371/448100000 (*.f64 3648757816023/62748003125 (/.f64 1 x)))
1913510371/448100000
(-.f64 1913510371/448100000 (*.f64 3648757816023/62748003125 (/.f64 1 x)))
(-.f64 1913510371/448100000 (*.f64 3648757816023/62748003125 (/.f64 1 x)))
(-.f64 1913510371/448100000 (*.f64 3648757816023/62748003125 (/.f64 1 x)))
Outputs
(/.f64 -3648757816023/62748003125 (pow.f64 x 2))
(/.f64 -3648757816023/62748003125 (*.f64 x x))
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(*.f64 (/.f64 1 x) (+.f64 1913510371/448100000 (/.f64 -3648757816023/62748003125 x)))
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(*.f64 (/.f64 1 x) (+.f64 1913510371/448100000 (/.f64 -3648757816023/62748003125 x)))
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(*.f64 (/.f64 1 x) (+.f64 1913510371/448100000 (/.f64 -3648757816023/62748003125 x)))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(*.f64 (/.f64 1 x) (+.f64 1913510371/448100000 (/.f64 -3648757816023/62748003125 x)))
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(*.f64 (/.f64 1 x) (+.f64 1913510371/448100000 (/.f64 -3648757816023/62748003125 x)))
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(*.f64 (/.f64 1 x) (+.f64 1913510371/448100000 (/.f64 -3648757816023/62748003125 x)))
(/.f64 1913510371/448100000 x)
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(*.f64 (/.f64 1 x) (+.f64 1913510371/448100000 (/.f64 -3648757816023/62748003125 x)))
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(*.f64 (/.f64 1 x) (+.f64 1913510371/448100000 (/.f64 -3648757816023/62748003125 x)))
(-.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 3648757816023/62748003125 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1913510371/448100000 x) (/.f64 3648757816023/62748003125 (*.f64 x x)))
(+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x)))
(*.f64 (/.f64 1 x) (+.f64 1913510371/448100000 (/.f64 -3648757816023/62748003125 x)))
(/.f64 -3648757816023/62748003125 x)
(-.f64 1913510371/448100000 (*.f64 3648757816023/62748003125 (/.f64 1 x)))
(-.f64 1913510371/448100000 (/.f64 3648757816023/62748003125 x))
(+.f64 1913510371/448100000 (/.f64 -3648757816023/62748003125 x))
(-.f64 1913510371/448100000 (*.f64 3648757816023/62748003125 (/.f64 1 x)))
(-.f64 1913510371/448100000 (/.f64 3648757816023/62748003125 x))
(+.f64 1913510371/448100000 (/.f64 -3648757816023/62748003125 x))
(-.f64 1913510371/448100000 (*.f64 3648757816023/62748003125 (/.f64 1 x)))
(-.f64 1913510371/448100000 (/.f64 3648757816023/62748003125 x))
(+.f64 1913510371/448100000 (/.f64 -3648757816023/62748003125 x))
1913510371/448100000
(-.f64 1913510371/448100000 (*.f64 3648757816023/62748003125 (/.f64 1 x)))
(-.f64 1913510371/448100000 (/.f64 3648757816023/62748003125 x))
(+.f64 1913510371/448100000 (/.f64 -3648757816023/62748003125 x))
(-.f64 1913510371/448100000 (*.f64 3648757816023/62748003125 (/.f64 1 x)))
(-.f64 1913510371/448100000 (/.f64 3648757816023/62748003125 x))
(+.f64 1913510371/448100000 (/.f64 -3648757816023/62748003125 x))
(-.f64 1913510371/448100000 (*.f64 3648757816023/62748003125 (/.f64 1 x)))
(-.f64 1913510371/448100000 (/.f64 3648757816023/62748003125 x))
(+.f64 1913510371/448100000 (/.f64 -3648757816023/62748003125 x))
1913510371/448100000
(-.f64 1913510371/448100000 (*.f64 3648757816023/62748003125 (/.f64 1 x)))
(-.f64 1913510371/448100000 (/.f64 3648757816023/62748003125 x))
(+.f64 1913510371/448100000 (/.f64 -3648757816023/62748003125 x))
(-.f64 1913510371/448100000 (*.f64 3648757816023/62748003125 (/.f64 1 x)))
(-.f64 1913510371/448100000 (/.f64 3648757816023/62748003125 x))
(+.f64 1913510371/448100000 (/.f64 -3648757816023/62748003125 x))
(-.f64 1913510371/448100000 (*.f64 3648757816023/62748003125 (/.f64 1 x)))
(-.f64 1913510371/448100000 (/.f64 3648757816023/62748003125 x))
(+.f64 1913510371/448100000 (/.f64 -3648757816023/62748003125 x))

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
✓1.0b
(cbrt.f64 -353558218835431/1000000000000000)
Compiler

Compiled 9 to 7 computations (22.2% saved)

series1.0ms (0%)

Counts
2 → 0
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
0.0ms
x
@0
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
0.0ms
x
@inf
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)

rewrite134.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
417×pow1_binary64
407×add-sqr-sqrt_binary64
394×*-un-lft-identity_binary64
391×add-log-exp_binary64
391×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059
1989
210719
Stop Event
1×node limit
Counts
2 → 36
Calls
Call 1
Inputs
(cbrt.f64 -353558218835431/1000000000000000)
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 -353558218835431/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 -353558218835431/1000000000000000)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 -353558218835431/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 -353558218835431/1000000000000000))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 -353558218835431/1000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 -353558218835431/1000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -353558218835431/1000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 -353558218835431/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 -353558218835431/1000000000000000)) (cbrt.f64 (cbrt.f64 125003414106082515941860955761/1000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 125003414106082515941860955761/1000000000000000000000000000000)) (cbrt.f64 (cbrt.f64 -353558218835431/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 -353558218835431/1000000000000000 1/6) (pow.f64 -353558218835431/1000000000000000 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 -353558218835431/1000000000000000))) 2) 3) (cbrt.f64 (cbrt.f64 -353558218835431/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 -353558218835431/1000000000000000))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 -353558218835431/1000000000000000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 -353558218835431/1000000000000000 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 -353558218835431/1000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 125003414106082515941860955761/1000000000000000000000000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 -353558218835431/1000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 -353558218835431/1000000000000000 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 125003414106082515941860955761/1000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 -353558218835431/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 -353558218835431/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 -353558218835431/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 -353558218835431/1000000000000000)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cbrt.f64 -353558218835431/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cbrt.f64 -353558218835431/1000000000000000)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cbrt.f64 -353558218835431/1000000000000000)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 -353558218835431/1000000000000000)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 -353558218835431/1000000000000000)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 -353558218835431/1000000000000000) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 125003414106082515941860955761/1000000000000000000000000000000) (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (cbrt.f64 125003414106082515941860955761/1000000000000000000000000000000) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cbrt.f64 -353558218835431/1000000000000000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)))))))

simplify18.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
36 → 36
Calls
Call 1
Inputs
Outputs

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(*.f64 x -70711/100000)
✓0.5b
(cbrt.f64 (*.f64 x -70711/100000))
✓0.8b
(pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 3)
Compiler

Compiled 17 to 13 computations (23.5% saved)

series7.0ms (0.1%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@0
(pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 3)
2.0ms
x
@-inf
(pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 3)
1.0ms
x
@inf
(pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 3)
1.0ms
x
@0
(cbrt.f64 (*.f64 x -70711/100000))
1.0ms
x
@-inf
(cbrt.f64 (*.f64 x -70711/100000))

rewrite58.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
522×pow1_binary64
518×add-sqr-sqrt_binary64
497×add-log-exp_binary64
497×log1p-expm1-u_binary64
497×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
114910
2140010
Stop Event
1×node limit
Counts
2 → 49
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 3)
(cbrt.f64 (*.f64 x -70711/100000))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x -70711/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x -70711/100000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 (cbrt.f64 -70711/100000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -70711/100000 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -70711/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x -70711/100000)) (pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 2) (cbrt.f64 (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x -70711/100000))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x -70711/100000))) (pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 -70711/100000) (pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x -70711/100000) 1/6) (*.f64 (pow.f64 (*.f64 x -70711/100000) 1/6) (pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x -70711/100000)) (sqrt.f64 (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x -70711/100000))) 2) 3) (cbrt.f64 (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x -70711/100000) 1/6) 3) (pow.f64 (pow.f64 (*.f64 x -70711/100000) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -70711/100000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -70711/100000 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 2) 1) (cbrt.f64 (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x -70711/100000))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 2) (cbrt.f64 x)) (cbrt.f64 -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 2) (pow.f64 (*.f64 x -70711/100000) 1/6)) (pow.f64 (*.f64 x -70711/100000) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 5000045521/10000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x -70711/100000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -70711/100000)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 x -70711/100000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x -70711/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -70711/100000) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x -70711/100000))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x -70711/100000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x -70711/100000))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x -70711/100000))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x -70711/100000) 1/6) (pow.f64 (*.f64 x -70711/100000) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x -70711/100000)) 1/3) (pow.f64 (sqrt.f64 (*.f64 x -70711/100000)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -70711/100000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x -70711/100000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -70711/100000) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 x -70711/100000))))))))

simplify143.0ms (1.5%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
49 → 49
Calls
Call 1
Inputs
Outputs

eval246.0ms (2.5%)

Compiler

Compiled 5943 to 4738 computations (20.3% saved)

prune94.0ms (1%)

Pruning

16 alts after pruning (7 fresh and 9 done)

PrunedKeptTotal
New3881389
Fresh167
Picked011
Done088
Total38916405
Error
0b
Counts
405 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
46.2b
(pow.f64 (sqrt.f64 (*.f64 x -70711/100000)) 2)
46.3b
(pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)) 2)
✓50.7b
(cbrt.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)))
✓29.0b
(*.f64 x -70711/100000)
✓29.3b
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
50.9b
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x -70711/100000)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 x -70711/100000)) (+.f64 1 (*.f64 x -70711/100000))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 x -70711/100000)) 1))))
✓29.3b
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
33.7b
16316775383/10000000000
✓28.5b
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
✓29.5b
(pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 3)
28.5b
(+.f64 (+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000) (*.f64 x -70711/100000))
✓0.1b
(+.f64 (/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)) (*.f64 x -70711/100000))
17.8b
(+.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x 1913510371/10000000000) 2) 266237158899274796689/100000000000000000000) (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)) (*.f64 x -70711/100000))
19.1b
(/.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000) (+.f64 x 230753/100000))
✓0.1b
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
✓29.9b
(+.f64 (/.f64 (+.f64 1913510371/448100000 (/.f64 -3648757816023/62748003125 x)) x) (*.f64 x -70711/100000))
Compiler

Compiled 185 to 151 computations (18.4% saved)

regimes162.0ms (1.6%)

Counts
36 → 1
Calls
Call 1
Inputs
16316775383/10000000000
16316775383/10000000000
(*.f64 x -70711/100000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
(+.f64 (+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000) (*.f64 x -70711/100000))
(/.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000) (+.f64 x 230753/100000))
(+.f64 (/.f64 (+.f64 1913510371/448100000 (/.f64 -3648757816023/62748003125 x)) x) (*.f64 x -70711/100000))
(+.f64 (-.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 3648757816023/62748003125 x) x)) (*.f64 x -70711/100000))
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) x))
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(sqrt.f64 (*.f64 5000045521/10000000000 (*.f64 x x)))
(+.f64 (/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)) (*.f64 x -70711/100000))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x -70711/100000)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 x -70711/100000)) (+.f64 1 (*.f64 x -70711/100000))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 x -70711/100000)) 1))))
(pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 3)
(cbrt.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)))
(pow.f64 (sqrt.f64 (*.f64 x -70711/100000)) 2)
(+.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)) (*.f64 x -70711/100000))
(pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)) 2)
(pow.f64 (sqrt.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))) 2)
(+.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) (*.f64 x -70711/100000))
(/.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))
(+.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x 1913510371/10000000000) 2) 266237158899274796689/100000000000000000000) (fma.f64 x 1913510371/10000000000 -16316775383/10000000000)) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)) (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))
(+.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -1) (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) -1))
(cbrt.f64 (pow.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x)) 3))
(sqrt.f64 (*.f64 5000045521/10000000000 (pow.f64 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x) 2)))
(pow.f64 (cbrt.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))) 3)
(pow.f64 (sqrt.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))) 2)
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))
(*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (*.f64 x x)) (/.f64 1 (*.f64 (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 100000/70711)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x) 70711/100000)) 2) (cbrt.f64 (*.f64 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x) 70711/100000)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2) (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3) (pow.f64 x 3)) 70711/100000) (fma.f64 x (+.f64 x (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)))
Outputs
(+.f64 (/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)) (*.f64 x -70711/100000))
Calls

5 calls:

43.0ms
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
33.0ms
x
25.0ms
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
20.0ms
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
19.0ms
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
Results
ErrorSegmentsBranch
0.1b1x
0.1b1(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
0.1b1(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
0.1b1(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
0.1b1(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
Compiler

Compiled 664 to 509 computations (23.3% saved)

regimes41.0ms (0.4%)

Counts
13 → 1
Calls
Call 1
Inputs
16316775383/10000000000
16316775383/10000000000
(*.f64 x -70711/100000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
(+.f64 (+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000) (*.f64 x -70711/100000))
(/.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000) (+.f64 x 230753/100000))
(+.f64 (/.f64 (+.f64 1913510371/448100000 (/.f64 -3648757816023/62748003125 x)) x) (*.f64 x -70711/100000))
(+.f64 (-.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 3648757816023/62748003125 x) x)) (*.f64 x -70711/100000))
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) x))
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
(sqrt.f64 (*.f64 5000045521/10000000000 (*.f64 x x)))
Outputs
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
Calls

3 calls:

13.0ms
x
11.0ms
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
10.0ms
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
Results
ErrorSegmentsBranch
0.1b1x
0.1b1(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
0.1b1(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
Compiler

Compiled 144 to 106 computations (26.4% saved)

regimes33.0ms (0.3%)

Counts
10 → 3
Calls
Call 1
Inputs
16316775383/10000000000
16316775383/10000000000
(*.f64 x -70711/100000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
(+.f64 (+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000) (*.f64 x -70711/100000))
(/.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000) (+.f64 x 230753/100000))
(+.f64 (/.f64 (+.f64 1913510371/448100000 (/.f64 -3648757816023/62748003125 x)) x) (*.f64 x -70711/100000))
(+.f64 (-.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 3648757816023/62748003125 x) x)) (*.f64 x -70711/100000))
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) x))
Outputs
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) x))
Calls

1 calls:

29.0ms
x
Results
ErrorSegmentsBranch
0.6b3x
Compiler

Compiled 77 to 55 computations (28.6% saved)

bsearch47.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
23.0ms
2.2387804098994057e-11
87.69257555740967
23.0ms
-3943962.8729327666
-0.0035762531704590975
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes21.0ms (0.2%)

Counts
9 → 3
Calls
Call 1
Inputs
16316775383/10000000000
16316775383/10000000000
(*.f64 x -70711/100000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
(+.f64 (+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000) (*.f64 x -70711/100000))
(/.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000) (+.f64 x 230753/100000))
(+.f64 (/.f64 (+.f64 1913510371/448100000 (/.f64 -3648757816023/62748003125 x)) x) (*.f64 x -70711/100000))
(+.f64 (-.f64 (/.f64 1913510371/448100000 x) (/.f64 (/.f64 3648757816023/62748003125 x) x)) (*.f64 x -70711/100000))
Outputs
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (/.f64 (+.f64 1913510371/448100000 (/.f64 -3648757816023/62748003125 x)) x) (*.f64 x -70711/100000))
Calls

1 calls:

18.0ms
x
Results
ErrorSegmentsBranch
0.6b3x
Compiler

Compiled 64 to 47 computations (26.6% saved)

bsearch75.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
36.0ms
2.2387804098994057e-11
87.69257555740967
38.0ms
-3943962.8729327666
-0.0035762531704590975
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes32.0ms (0.3%)

Counts
7 → 3
Calls
Call 1
Inputs
16316775383/10000000000
16316775383/10000000000
(*.f64 x -70711/100000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
(+.f64 (+.f64 (*.f64 -1427746267379707/1000000000000000 x) 16316775383/10000000000) (*.f64 x -70711/100000))
(/.f64 (*.f64 (-.f64 53246947009/10000000000 (*.f64 x x)) 70711/100000) (+.f64 x 230753/100000))
Outputs
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
Calls

1 calls:

29.0ms
x
Results
ErrorSegmentsBranch
0.6b3x
Compiler

Compiled 40 to 30 computations (25% saved)

bsearch74.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
37.0ms
2.2387804098994057e-11
87.69257555740967
36.0ms
-3943962.8729327666
-0.0035762531704590975
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes26.0ms (0.3%)

Counts
4 → 3
Calls
Call 1
Inputs
16316775383/10000000000
16316775383/10000000000
(*.f64 x -70711/100000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
Outputs
(*.f64 x -70711/100000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 x -70711/100000)
Calls

1 calls:

24.0ms
x
Results
ErrorSegmentsBranch
0.7b3x
Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch75.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
37.0ms
2.2387804098994057e-11
87.69257555740967
38.0ms
-3943962.8729327666
-0.0035762531704590975
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes24.0ms (0.2%)

Counts
3 → 3
Calls
Call 1
Inputs
16316775383/10000000000
16316775383/10000000000
(*.f64 x -70711/100000)
Outputs
(*.f64 x -70711/100000)
16316775383/10000000000
(*.f64 x -70711/100000)
Calls

1 calls:

22.0ms
x
Results
ErrorSegmentsBranch
1.0b3x
Compiler

Compiled 8 to 6 computations (25% saved)

bsearch149.0ms (1.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
37.0ms
2.2387804098994057e-11
87.69257555740967
112.0ms
-3943962.8729327666
-0.0035762531704590975
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes9.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
16316775383/10000000000
16316775383/10000000000
Outputs
16316775383/10000000000
Calls

1 calls:

8.0ms
x
Results
ErrorSegmentsBranch
33.7b1x
Compiler

Compiled 5 to 4 computations (20% saved)

simplify23.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
13×+-commutative_binary64
10×*-commutative_binary64
4×sub-neg_binary64
1×neg-sub0_binary64
1×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061235
185235
291235
393235
494235
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)) (*.f64 x -70711/100000))
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
(if (<=.f64 x -4234797888971109/1073741824) (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x)) (if (<=.f64 x 6928689771455525/309485009821345068724781056) (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) (*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) x))))
(if (<=.f64 x -4234797888971109/1073741824) (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x)) (if (<=.f64 x 6928689771455525/309485009821345068724781056) (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) (+.f64 (/.f64 (+.f64 1913510371/448100000 (/.f64 -3648757816023/62748003125 x)) x) (*.f64 x -70711/100000))))
(if (<=.f64 x -4234797888971109/1073741824) (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x)) (if (<=.f64 x 6928689771455525/309485009821345068724781056) (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))))
(if (<=.f64 x -4234797888971109/1073741824) (*.f64 x -70711/100000) (if (<=.f64 x 6928689771455525/309485009821345068724781056) (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) (*.f64 x -70711/100000)))
(if (<=.f64 x -4234797888971109/1073741824) (*.f64 x -70711/100000) (if (<=.f64 x 6928689771455525/309485009821345068724781056) 16316775383/10000000000 (*.f64 x -70711/100000)))
16316775383/10000000000
Outputs
(+.f64 (/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)) (*.f64 x -70711/100000))
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000)))) x))
(if (<=.f64 x -4234797888971109/1073741824) (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x)) (if (<=.f64 x 6928689771455525/309485009821345068724781056) (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) (*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) x))))
(if (<=.f64 x -4234797888971109/1073741824) (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x)) (if (<=.f64 x 6928689771455525/309485009821345068724781056) (+.f64 16316775383/10000000000 (*.f64 x -2134856267379707/1000000000000000)) (*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) x))))
(if (<=.f64 x -4234797888971109/1073741824) (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x)) (if (<=.f64 x 6928689771455525/309485009821345068724781056) (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) (+.f64 (/.f64 (+.f64 1913510371/448100000 (/.f64 -3648757816023/62748003125 x)) x) (*.f64 x -70711/100000))))
(if (<=.f64 x -4234797888971109/1073741824) (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x)) (if (<=.f64 x 6928689771455525/309485009821345068724781056) (+.f64 16316775383/10000000000 (*.f64 x -2134856267379707/1000000000000000)) (+.f64 (*.f64 x -70711/100000) (/.f64 (+.f64 1913510371/448100000 (/.f64 -3648757816023/62748003125 x)) x))))
(if (<=.f64 x -4234797888971109/1073741824) (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x)) (if (<=.f64 x 6928689771455525/309485009821345068724781056) (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))))
(if (<=.f64 x -4234797888971109/1073741824) (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x)) (if (<=.f64 x 6928689771455525/309485009821345068724781056) (+.f64 16316775383/10000000000 (*.f64 x -2134856267379707/1000000000000000)) (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))))
(if (<=.f64 x -4234797888971109/1073741824) (*.f64 x -70711/100000) (if (<=.f64 x 6928689771455525/309485009821345068724781056) (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) (*.f64 x -70711/100000)))
(if (<=.f64 x -4234797888971109/1073741824) (*.f64 x -70711/100000) (if (<=.f64 x 6928689771455525/309485009821345068724781056) (+.f64 16316775383/10000000000 (*.f64 x -2134856267379707/1000000000000000)) (*.f64 x -70711/100000)))
(if (<=.f64 x -4234797888971109/1073741824) (*.f64 x -70711/100000) (if (<=.f64 x 6928689771455525/309485009821345068724781056) 16316775383/10000000000 (*.f64 x -70711/100000)))
16316775383/10000000000
Compiler

Compiled 171 to 130 computations (24% saved)

soundness259.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
706×fma-def_binary64
684×fma-neg_binary64
659×associate-/l*_binary64
582×associate-/r*_binary64
298×distribute-rgt-in_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01728
13422
26922
310922
415522
519720
629420
753120
8116020
9232820
10487020
11609020
Stop Event
1×node limit
Compiler

Compiled 603 to 495 computations (17.9% saved)

end89.0ms (0.9%)

Compiler

Compiled 164 to 123 computations (25% saved)

Profiling

Loading profile data...