Details

Time bar (total: 8.7s)

analyze14.0ms (0.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
50%50%0%4
75%25%0%5
87.5%12.5%0%6
93.7%6.2%0%7
96.8%3.1%0%8
98.4%1.6%0%9
99.2%0.8%0%10
99.6%0.4%0%11
99.8%0.2%0%12
Compiler

Compiled 21 to 17 computations (19% saved)

sample1.1s (12.4%)

Results
1.1s8256×body256valid

preprocess107.0ms (1.2%)

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 (1%)

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)

localize65.0ms (0.8%)

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))
✓0.3b
(*.f64 x 4481/100000)
✓0.4b
(*.f64 x 27061/100000)
✓14.7b
(/.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)

series12.0ms (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))
1.0ms
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 (+.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)

rewrite117.0ms (1.3%)

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)))))))

simplify98.0ms (1.1%)

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))))

localize47.0ms (0.5%)

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)
✓14.7b
(/.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)

series8.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
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)
1.0ms
x
@inf
(fma.f64 x 4481/100000 99229/100000)

rewrite135.0ms (1.6%)

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 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 (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 (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 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 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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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simplify102.0ms (1.2%)

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)))))

eval187.0ms (2.2%)

Compiler

Compiled 6818 to 5361 computations (21.4% saved)

prune56.0ms (0.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New30612318
Fresh000
Picked101
Done011
Total30713320
Error
0.0b
Counts
320 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
26.4b
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
▶31.6b
(*.f64 x -70711/100000)
16.1b
(/.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))))
31.0b
16316775383/10000000000
15.5b
(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))))
▶0.1b
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)))
14.4b
(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)
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)))))
▶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)
▶31.5b
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
▶0.1b
(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))
✓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))
32.5b
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) x))
Compiler

Compiled 420 to 326 computations (22.4% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (neg.f64 x) 70711/100000)
✓0.2b
(fma.f64 x 27061/100000 230753/100000)
0.2b
(fma.f64 x 4481/100000 99229/100000)
✓14.7b
(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
Compiler

Compiled 59 to 43 computations (27.1% saved)

series5.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(*.f64 (neg.f64 x) 70711/100000)
0.0ms
x
@inf
(*.f64 (neg.f64 x) 70711/100000)
0.0ms
x
@0
(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
0.0ms
x
@0
(*.f64 (neg.f64 x) 70711/100000)
0.0ms
x
@inf
(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))

rewrite85.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
516×log-prod_binary64
422×exp-prod_binary64
317×pow2_binary64
252×pow-prod-down_binary64
224×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01427
129025
2330025
Stop Event
1×node limit
Counts
3 → 108
Calls
Call 1
Inputs
(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
(fma.f64 x 27061/100000 230753/100000)
(*.f64 (neg.f64 x) 70711/100000)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2)) (log.f64 (cbrt.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 +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) (log.f64 (sqrt.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 -.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 (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 (cbrt.f64 (pow.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 (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 (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 (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 (cbrt.f64 (pow.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 (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 (cbrt.f64 (pow.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 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2) (/.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 (cbrt.f64 (pow.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 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 (E.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 pow.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) 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 (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 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 27061/100000 230753/100000)) -1)))) (#(struct:change 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(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 exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.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 exp.f64 (*.f64 (log.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 exp.f64 (*.f64 (log.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 exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 230753/100000 (*.f64 x 27061/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x 27061/100000 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 27061/100000) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 27061/100000) 1) 230753/100000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x 27061/100000 230753/100000))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 27061/100000 230753/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 27061/100000 230753/100000)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 27061/100000 230753/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 27061/100000 230753/100000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 27061/100000 230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 27061/100000 230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) (cbrt.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 2)) (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 27061/100000) 3) 12286892763167777/1000000000000000) (+.f64 (pow.f64 (*.f64 x 27061/100000) 2) (-.f64 53246947009/10000000000 (*.f64 (*.f64 x 27061/100000) 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x 27061/100000) 2) 53246947009/10000000000) (fma.f64 x 27061/100000 -230753/100000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 27061/100000 230753/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (fma.f64 x 27061/100000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 27061/100000 230753/100000))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 27061/100000 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 27061/100000 230753/100000)))) (sqrt.f64 (log.f64 (fma.f64 x 27061/100000 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 27061/100000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 27061/100000 230753/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 27061/100000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 27061/100000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 27061/100000 230753/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 27061/100000 230753/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 27061/100000 230753/100000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 27061/100000 230753/100000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x 27061/100000 230753/100000)) 1) 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 (cbrt.f64 (pow.f64 (exp.f64 x) 70711/100000)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 70711/100000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.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 (E.f64) (log.f64 (*.f64 x 70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 5000045521/10000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 70711/100000) 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 (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 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 neg.f64 (*.f64 x 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 5000045521/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.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 exp.f64 (*.f64 (log.f64 (*.f64 x 70711/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x 70711/100000) 3)) 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))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x 70711/100000)) 1) 1))))))

simplify155.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
767×distribute-neg-frac_binary64
743×fma-def_binary64
702×associate-*r*_binary64
417×times-frac_binary64
289×associate-/l/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
044303
1107281
2253279
3659273
41979270
56861270
Stop Event
1×node limit
Counts
144 → 128
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)))))
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))
(*.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
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 x (*.f64 x 1900161040244073/1000000000000000) (fma.f64 -20191289437/10000000000 x 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 -20191289437/10000000000 x (fma.f64 -179503363065659419717/100000000000000000000 (pow.f64 x 3) 230753/100000)))
(fma.f64 x (*.f64 x (fma.f64 x -179503363065659419717/100000000000000000000 1900161040244073/1000000000000000)) (fma.f64 -20191289437/10000000000 x 230753/100000))
(fma.f64 x (fma.f64 x (fma.f64 x -179503363065659419717/100000000000000000000 1900161040244073/1000000000000000) -20191289437/10000000000) 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 -1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 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 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 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) (/.f64 151724043800704/89975616641 (pow.f64 x 3)))
(+.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 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 (/.f64 27061/4481 x) (+.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) (*.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 151724043800704/89975616641 (/.f64 -14315508183474457216/403180738168321 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 -1651231776/20079361 (*.f64 x x)))
(+.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 -1651231776/20079361 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 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 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) (/.f64 151724043800704/89975616641 (pow.f64 x 3)))
(+.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 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 (/.f64 27061/4481 x) (+.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) (*.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 151724043800704/89975616641 (/.f64 -14315508183474457216/403180738168321 x)))))
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)
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)
(*.f64 -70711/100000 x)
(*.f64 x -70711/100000)

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 6 to 4 computations (33.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite123.0ms (1.4%)

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))))))

simplify8.0ms (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)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (/.f64 27061/4481 x) x)
✓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)

series4.0ms (0%)

Counts
3 → 24
Calls

9 calls:

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

rewrite66.0ms (0.8%)

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
0721
115921
2208621
Stop Event
1×node limit
Counts
3 → 73
Calls
Call 1
Inputs
(/.f64 27061/4481 x)
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
(-.f64 (/.f64 27061/4481 x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.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 sqrt.f64 (pow.f64 (/.f64 27061/4481 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.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 +.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 (pow.f64 (/.f64 27061/4481 x) 2) (*.f64 x (+.f64 x (/.f64 27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (/.f64 27061/4481 x) 2) (*.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 (pow.f64 (/.f64 27061/4481 x) 2) (*.f64 x (+.f64 x (/.f64 27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 70711/100000 (-.f64 (pow.f64 (/.f64 27061/4481 x) 2) (*.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))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 27061/4481 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 27061/4481 x) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 27061/4481 x) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 27061/4481 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 27061/4481 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (/.f64 27061/4481 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 27061/4481 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 27061/4481 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (/.f64 27061/4481 x) x)) (pow.f64 (cbrt.f64 (-.f64 (/.f64 27061/4481 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 27061/4481 x) x)) 2) (cbrt.f64 (-.f64 (/.f64 27061/4481 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (/.f64 27061/4481 x) x)) (sqrt.f64 (-.f64 (/.f64 27061/4481 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 27061/4481 x) 2) (*.f64 x (+.f64 x (/.f64 27061/4481 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 27061/4481 x) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (/.f64 27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (/.f64 27061/4481 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (/.f64 27061/4481 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 27061/4481 x) 2) (*.f64 x (+.f64 x (/.f64 27061/4481 x)))) (-.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 27061/4481 x)) (-.f64 (pow.f64 (/.f64 27061/4481 x) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) (pow.f64 x 3)) (+.f64 (pow.f64 (/.f64 27061/4481 x) 2) (*.f64 x (+.f64 x (/.f64 27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 27061/4481 x) 2) (*.f64 x x)) (+.f64 x (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 27061/4481 x) 2) (*.f64 x (+.f64 x (/.f64 27061/4481 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 27061/4481 x) 2) (*.f64 x x))) (neg.f64 (+.f64 x (/.f64 27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 19816708627981/89975616641 (pow.f64 x 3)) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (/.f64 27061/4481 x) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (/.f64 27061/4481 x) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 27061/4481 x) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (/.f64 27061/4481 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 27061/4481 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 27061/4481 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (/.f64 27061/4481 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (/.f64 27061/4481 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (/.f64 27061/4481 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (/.f64 27061/4481 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (/.f64 27061/4481 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (/.f64 27061/4481 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (/.f64 27061/4481 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (/.f64 27061/4481 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 27061/4481 (/.f64 1 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 27061/4481 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 27061/4481 x)) 2) (cbrt.f64 (/.f64 27061/4481 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 27061/4481 x)) (sqrt.f64 (/.f64 27061/4481 x)) (neg.f64 x))))))

simplify58.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
134×fma-neg_binary64
119×fma-def_binary64
84×associate-/l*_binary64
58×associate-/r*_binary64
48×associate-/r/_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016184
129157
239157
344157
461157
590157
6150157
7215157
8291157
9389157
10515157
11654157
12810157
13862157
14924157
15990157
161010157
171028157
Stop Event
1×saturated
Counts
97 → 83
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))
(/.f64 27061/4481 x)
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x)))
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x)))
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x)))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x)))
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x)))
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x)))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x)))
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x)))
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 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))
(/.f64 27061/4481 x)
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 27061/4481 x))
(-.f64 (/.f64 27061/4481 x) x)
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 27061/4481 x))
(-.f64 (/.f64 27061/4481 x) x)
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 27061/4481 x))
(-.f64 (/.f64 27061/4481 x) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 27061/4481 x))
(-.f64 (/.f64 27061/4481 x) x)
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 27061/4481 x))
(-.f64 (/.f64 27061/4481 x) x)
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 27061/4481 x))
(-.f64 (/.f64 27061/4481 x) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 27061/4481 x))
(-.f64 (/.f64 27061/4481 x) x)
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 27061/4481 x))
(-.f64 (/.f64 27061/4481 x) x)
(+.f64 (*.f64 -1 x) (*.f64 27061/4481 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 27061/4481 x))
(-.f64 (/.f64 27061/4481 x) x)

localize26.0ms (0.3%)

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 (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)))
0.2b
(fma.f64 x 1913510371/10000000000 16316775383/10000000000)
0.3b
(*.f64 x 4481/100000)
✓14.7b
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1))
Compiler

Compiled 57 to 44 computations (22.8% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 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))
0.0ms
x
@-inf
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)))
0.0ms
x
@inf
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)))

rewrite84.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
574×log-prod_binary64
360×pow2_binary64
315×prod-diff_binary64
252×log1p-udef_binary64
251×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01436
129836
2346736
Stop Event
1×node limit
Counts
2 → 69
Calls
Call 1
Inputs
(/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1))
(fma.f64 x -70711/100000 (/.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 (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 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) (/.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 1913510371/10000000000 16316775383/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) 2)) 1) (/.f64 (cbrt.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)) 1) (/.f64 (sqrt.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 (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 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 (cbrt.f64 (pow.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 pow.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 pow.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.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 pow.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 pow.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 pow.f64 (/.f64 (pow.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) 3) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 1913510371/10000000000 16316775383/10000000000)) 1) -1)))) (#(struct:change #<rule 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16316775383/10000000000) 3) (pow.f64 (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 1913510371/10000000000 16316775383/10000000000) (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 1913510371/10000000000 16316775383/10000000000) (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 1913510371/10000000000 16316775383/10000000000) (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 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 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)) (*.f64 x -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -70711/100000) (/.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 (*.f64 x -70711/100000) 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 (log.f64 (pow.f64 (cbrt.f64 (exp.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)) (log.f64 (cbrt.f64 (exp.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.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)))))) (log.f64 (sqrt.f64 (exp.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.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))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -70711/100000 (/.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 (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)))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))) (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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.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)))) (sqrt.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x -70711/100000) 3) (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 3)) (+.f64 (pow.f64 (*.f64 x -70711/100000) 2) (-.f64 (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) (*.f64 (*.f64 x -70711/100000) (/.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 (pow.f64 (*.f64 x -70711/100000) 2) (pow.f64 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2)) (-.f64 (*.f64 x -70711/100000) (/.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 pow.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))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.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) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.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))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -70711/100000 (/.f64 (fma.f64 x 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16316775383/10000000000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.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)))) 1))))))

simplify72.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
810×distribute-neg-frac_binary64
703×associate-*r*_binary64
507×fma-def_binary64
417×times-frac_binary64
288×associate-/l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
051344
1135328
2328324
3881312
42508312
57231312
Stop Event
1×node limit
Counts
93 → 97
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)))))
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))))
(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 (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) (fma.f64 -1427746267379707/1000000000000000 x 16316775383/10000000000))
(fma.f64 -1427746267379707/1000000000000000 x (fma.f64 x (*.f64 x (fma.f64 x -12692862305735843227608787/10000000000000000000000000 134362287316698645903/100000000000000000000)) 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 (/.f64 1913510371/448100000 x) (/.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 -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 (*.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 -3648757816023/62748003125 (*.f64 x x))) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.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 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 (/.f64 1913510371/448100000 x) (/.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 -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 (*.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 -3648757816023/62748003125 (*.f64 x x))) (/.f64 31633246848801948256268/1259939806776003125 (pow.f64 x 4))))
(+.f64 (/.f64 335267464412236892/281173802003125 (pow.f64 x 3)) (+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.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 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)))))
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 134362287316698645903/100000000000000000000 (*.f64 x x) (*.f64 -12692862305735843227608787/10000000000000000000000000 (pow.f64 x 3))) (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))))
(fma.f64 x -70711/100000 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 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 (/.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 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 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 (/.f64 -3648757816023/62748003125 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))))
(fma.f64 x -70711/100000 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 x x))))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 (/.f64 -3648757816023/62748003125 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 (/.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 335267464412236892/281173802003125 (pow.f64 x 3)) (fma.f64 x -70711/100000 (+.f64 (/.f64 1913510371/448100000 x) (/.f64 -3648757816023/62748003125 (*.f64 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 (/.f64 -3648757816023/62748003125 x) x))))

localize49.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(fma.f64 x 4481/100000 99229/100000)
✓0.2b
(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)))
✓1.1b
(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)
14.7b
(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))
Compiler

Compiled 102 to 78 computations (23.5% saved)

series13.0ms (0.1%)

Counts
2 → 8
Calls

6 calls:

TimeVariablePointExpression
5.0ms
x
@0
(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)
3.0ms
x
@inf
(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)
2.0ms
x
@-inf
(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)
1.0ms
x
@0
(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)))
1.0ms
x
@inf
(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)))

rewrite96.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
667×log-prod_binary64
600×prod-diff_binary64
283×log1p-udef_binary64
282×expm1-udef_binary64
280×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01746
136646
2409646
Stop Event
1×node limit
Counts
2 → 68
Calls
Call 1
Inputs
(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)
(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)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.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 (*.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 (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 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(fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x)))))) (#(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)) x) 70711/100000)))) (#(struct:change #<rule egg-rr> (2) ((x *.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 (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))) (cbrt.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 *.f64 (cbrt.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))) (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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.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)))) 2) (*.f64 (cbrt.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)))) (cbrt.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 *.f64 (cbrt.f64 70711/100000) (*.f64 (cbrt.f64 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x)) (cbrt.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 *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x)) 2) (*.f64 (cbrt.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 (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)) 1/6) (*.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)) 1/6) (cbrt.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 *.f64 (sqrt.f64 (*.f64 70711/100000 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x 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simplify112.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
578×associate-*r*_binary64
558×associate-*l*_binary64
417×fma-def_binary64
275×unswap-sqr_binary64
250×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0110744
1313736
21059681
36259622
Stop Event
1×node limit
Counts
76 → 82
Calls
Call 1
Inputs
16316775383/10000000000
(+.f64 16316775383/10000000000 (*.f64 (+.f64 (*.f64 -2134856267379707/1500000000000000 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 230753/100000) 4) 1) 1/3)) (*.f64 -2134856267379707/3000000000000000 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 230753/100000) 4) 1) 1/3))) x))
(+.f64 16316775383/10000000000 (+.f64 (*.f64 (+.f64 (*.f64 64454063474854195617254959/45000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 230753/100000)) 1/3)) (+.f64 (*.f64 (+.f64 (*.f64 2/3 (/.f64 (*.f64 (-.f64 1900161040244073/1000000000000000 (*.f64 911513957868707776969/300000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 230753/100000)) 1/3))) (pow.f64 (cbrt.f64 70711/100000) 2)) (cbrt.f64 230753/100000))) (*.f64 911513957868707776969/900000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4)) 1/3) (pow.f64 (cbrt.f64 70711/100000) 2)))) (*.f64 (cbrt.f64 230753/100000) (cbrt.f64 70711/100000))) (*.f64 70711/300000 (-.f64 1900161040244073/1000000000000000 (*.f64 911513957868707776969/300000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 230753/100000)) 1/3)))))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 -2134856267379707/1500000000000000 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 230753/100000) 4) 1) 1/3)) (*.f64 -2134856267379707/3000000000000000 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 230753/100000) 4) 1) 1/3))) x)))
(+.f64 16316775383/10000000000 (+.f64 (*.f64 (+.f64 (*.f64 -2134856267379707/4500000000000000 (*.f64 (-.f64 1900161040244073/1000000000000000 (*.f64 911513957868707776969/300000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 230753/100000)) 1/3))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 5)) 1/3))) (+.f64 (*.f64 (cbrt.f64 230753/100000) (*.f64 (cbrt.f64 70711/100000) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (pow.f64 (cbrt.f64 70711/100000) 2) (-.f64 (*.f64 27519781727879580139643921576453/27000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2))) (+.f64 179503363065659419717/100000000000000000000 (*.f64 -30191289437/15000000000 (*.f64 (-.f64 1900161040244073/1000000000000000 (*.f64 911513957868707776969/300000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 230753/100000)) 1/3))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 5)) 1/3)))))) (cbrt.f64 230753/100000))) (*.f64 -30191289437/45000000000 (*.f64 (*.f64 (-.f64 1900161040244073/1000000000000000 (*.f64 911513957868707776969/300000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 230753/100000)) 1/3))) (pow.f64 (cbrt.f64 70711/100000) 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 8)) 1/3)))))) (+.f64 (*.f64 -30191289437/30000000000 (*.f64 (*.f64 (+.f64 (*.f64 2/3 (/.f64 (*.f64 (-.f64 1900161040244073/1000000000000000 (*.f64 911513957868707776969/300000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 230753/100000)) 1/3))) (pow.f64 (cbrt.f64 70711/100000) 2)) (cbrt.f64 230753/100000))) (*.f64 911513957868707776969/900000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4)) 1/3) (pow.f64 (cbrt.f64 70711/100000) 2)))) (cbrt.f64 70711/100000)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) 1/3))) (*.f64 70711/300000 (-.f64 (*.f64 27519781727879580139643921576453/27000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2))) (+.f64 179503363065659419717/100000000000000000000 (*.f64 -30191289437/15000000000 (*.f64 (-.f64 1900161040244073/1000000000000000 (*.f64 911513957868707776969/300000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 230753/100000)) 1/3))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 5)) 1/3))))))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 64454063474854195617254959/45000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 230753/100000)) 1/3)) (+.f64 (*.f64 (+.f64 (*.f64 2/3 (/.f64 (*.f64 (-.f64 1900161040244073/1000000000000000 (*.f64 911513957868707776969/300000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 230753/100000)) 1/3))) (pow.f64 (cbrt.f64 70711/100000) 2)) (cbrt.f64 230753/100000))) (*.f64 911513957868707776969/900000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4)) 1/3) (pow.f64 (cbrt.f64 70711/100000) 2)))) (*.f64 (cbrt.f64 230753/100000) (cbrt.f64 70711/100000))) (*.f64 70711/300000 (-.f64 1900161040244073/1000000000000000 (*.f64 911513957868707776969/300000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 230753/100000)) 1/3)))))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 -2134856267379707/1500000000000000 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 230753/100000) 4) 1) 1/3)) (*.f64 -2134856267379707/3000000000000000 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 230753/100000) 4) 1) 1/3))) x))))
(*.f64 (cbrt.f64 230753/100000) (cbrt.f64 70711/100000))
(+.f64 (*.f64 -30191289437/30000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) 1/3) (*.f64 (cbrt.f64 70711/100000) x))) (*.f64 (cbrt.f64 230753/100000) (cbrt.f64 70711/100000)))
(+.f64 (*.f64 -30191289437/30000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) 1/3) (*.f64 (cbrt.f64 70711/100000) x))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 1900161040244073/1000000000000000 (*.f64 911513957868707776969/300000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 230753/100000)) 1/3))) (*.f64 (cbrt.f64 70711/100000) (pow.f64 x 2))) (pow.f64 (cbrt.f64 230753/100000) 2))) (*.f64 (cbrt.f64 230753/100000) (cbrt.f64 70711/100000))))
(+.f64 (*.f64 -30191289437/30000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) 1/3) (*.f64 (cbrt.f64 70711/100000) x))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 1900161040244073/1000000000000000 (*.f64 911513957868707776969/300000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 230753/100000)) 1/3))) (*.f64 (cbrt.f64 70711/100000) (pow.f64 x 2))) (pow.f64 (cbrt.f64 230753/100000) 2))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (cbrt.f64 70711/100000) (*.f64 (-.f64 (*.f64 27519781727879580139643921576453/27000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2))) (+.f64 179503363065659419717/100000000000000000000 (*.f64 -30191289437/15000000000 (*.f64 (-.f64 1900161040244073/1000000000000000 (*.f64 911513957868707776969/300000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 230753/100000)) 1/3))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 5)) 1/3))))) (pow.f64 x 3))) (pow.f64 (cbrt.f64 230753/100000) 2))) (*.f64 (cbrt.f64 230753/100000) (cbrt.f64 70711/100000)))))
Outputs
16316775383/10000000000
(+.f64 16316775383/10000000000 (*.f64 (+.f64 (*.f64 -2134856267379707/1500000000000000 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 230753/100000) 4) 1) 1/3)) (*.f64 -2134856267379707/3000000000000000 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 230753/100000) 4) 1) 1/3))) x))
(+.f64 16316775383/10000000000 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 230753/100000) 4)) -2134856267379707/1000000000000000) x))
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 230753/100000) 4)) -2134856267379707/1000000000000000) x 16316775383/10000000000)
(fma.f64 (cbrt.f64 (*.f64 (cbrt.f64 230753/100000) 230753/100000)) (*.f64 x -2134856267379707/1000000000000000) 16316775383/10000000000)
(+.f64 16316775383/10000000000 (+.f64 (*.f64 (+.f64 (*.f64 64454063474854195617254959/45000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 230753/100000)) 1/3)) (+.f64 (*.f64 (+.f64 (*.f64 2/3 (/.f64 (*.f64 (-.f64 1900161040244073/1000000000000000 (*.f64 911513957868707776969/300000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 230753/100000)) 1/3))) (pow.f64 (cbrt.f64 70711/100000) 2)) (cbrt.f64 230753/100000))) (*.f64 911513957868707776969/900000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4)) 1/3) (pow.f64 (cbrt.f64 70711/100000) 2)))) (*.f64 (cbrt.f64 230753/100000) (cbrt.f64 70711/100000))) (*.f64 70711/300000 (-.f64 1900161040244073/1000000000000000 (*.f64 911513957868707776969/300000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 230753/100000)) 1/3)))))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 -2134856267379707/1500000000000000 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 230753/100000) 4) 1) 1/3)) (*.f64 -2134856267379707/3000000000000000 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 230753/100000) 4) 1) 1/3))) x)))
(+.f64 16316775383/10000000000 (fma.f64 (fma.f64 64454063474854195617254959/45000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 230753/100000))) (fma.f64 (fma.f64 2/3 (/.f64 (+.f64 1900161040244073/1000000000000000 (*.f64 -911513957868707776969/300000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 230753/100000))))) (/.f64 (cbrt.f64 230753/100000) (pow.f64 (cbrt.f64 70711/100000) 2))) (*.f64 911513957868707776969/900000000000000000000 (*.f64 (pow.f64 (cbrt.f64 70711/100000) 2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4)))))) (*.f64 (cbrt.f64 230753/100000) (cbrt.f64 70711/100000)) (*.f64 (+.f64 1900161040244073/1000000000000000 (*.f64 -911513957868707776969/300000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 230753/100000))))) 70711/300000))) (*.f64 x x) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 230753/100000) 4)) -2134856267379707/1000000000000000) x)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 230753/100000) 4)) -2134856267379707/1000000000000000) x 16316775383/10000000000) (*.f64 (fma.f64 64454063474854195617254959/45000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 230753/100000))) (fma.f64 (fma.f64 2/3 (*.f64 (/.f64 (+.f64 1900161040244073/1000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 230753/100000))) -911513957868707776969/300000000000000000000)) (cbrt.f64 230753/100000)) (pow.f64 (cbrt.f64 70711/100000) 2)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4))) (*.f64 (pow.f64 (cbrt.f64 70711/100000) 2) 911513957868707776969/900000000000000000000))) (*.f64 (cbrt.f64 230753/100000) (cbrt.f64 70711/100000)) (+.f64 44787429105566215301/100000000000000000000 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 230753/100000))) -911513957868707776969/300000000000000000000) 70711/300000)))) (*.f64 x x)))
(fma.f64 (cbrt.f64 (*.f64 (cbrt.f64 230753/100000) 230753/100000)) (*.f64 x -2134856267379707/1000000000000000) (fma.f64 (fma.f64 (cbrt.f64 230753/100000) (*.f64 (cbrt.f64 70711/100000) (fma.f64 2/3 (*.f64 (pow.f64 (cbrt.f64 70711/100000) 2) (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 230753/100000))) -911513957868707776969/300000000000000000000 1900161040244073/1000000000000000) (cbrt.f64 230753/100000))) (*.f64 (cbrt.f64 (/.f64 100000/230753 (cbrt.f64 230753/100000))) (*.f64 (pow.f64 (cbrt.f64 70711/100000) 2) 911513957868707776969/900000000000000000000)))) (fma.f64 64454063474854195617254959/45000000000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 230753/100000))) (+.f64 44787429105566215301/100000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 230753/100000))) -64454063474854195617254959/90000000000000000000000000)))) (*.f64 x x) 16316775383/10000000000))
(fma.f64 (cbrt.f64 (*.f64 (cbrt.f64 230753/100000) 230753/100000)) (*.f64 x -2134856267379707/1000000000000000) (fma.f64 (fma.f64 (cbrt.f64 230753/100000) (*.f64 (cbrt.f64 70711/100000) (*.f64 (pow.f64 (cbrt.f64 70711/100000) 2) (+.f64 (*.f64 2/3 (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 230753/100000))) -911513957868707776969/300000000000000000000 1900161040244073/1000000000000000) (cbrt.f64 230753/100000))) (*.f64 911513957868707776969/900000000000000000000 (cbrt.f64 (/.f64 100000/230753 (cbrt.f64 230753/100000))))))) (+.f64 44787429105566215301/100000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 230753/100000))) 64454063474854195617254959/90000000000000000000000000))) (*.f64 x x) 16316775383/10000000000))
(+.f64 16316775383/10000000000 (+.f64 (*.f64 (+.f64 (*.f64 -2134856267379707/4500000000000000 (*.f64 (-.f64 1900161040244073/1000000000000000 (*.f64 911513957868707776969/300000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 230753/100000)) 1/3))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 5)) 1/3))) (+.f64 (*.f64 (cbrt.f64 230753/100000) (*.f64 (cbrt.f64 70711/100000) (+.f64 (*.f64 2/3 (/.f64 (*.f64 (pow.f64 (cbrt.f64 70711/100000) 2) (-.f64 (*.f64 27519781727879580139643921576453/27000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2))) (+.f64 179503363065659419717/100000000000000000000 (*.f64 -30191289437/15000000000 (*.f64 (-.f64 1900161040244073/1000000000000000 (*.f64 911513957868707776969/300000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 230753/100000)) 1/3))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 5)) 1/3)))))) (cbrt.f64 230753/100000))) (*.f64 -30191289437/45000000000 (*.f64 (*.f64 (-.f64 1900161040244073/1000000000000000 (*.f64 911513957868707776969/300000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 230753/100000)) 1/3))) (pow.f64 (cbrt.f64 70711/100000) 2)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 8)) 1/3)))))) (+.f64 (*.f64 -30191289437/30000000000 (*.f64 (*.f64 (+.f64 (*.f64 2/3 (/.f64 (*.f64 (-.f64 1900161040244073/1000000000000000 (*.f64 911513957868707776969/300000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 230753/100000)) 1/3))) (pow.f64 (cbrt.f64 70711/100000) 2)) (cbrt.f64 230753/100000))) (*.f64 911513957868707776969/900000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4)) 1/3) (pow.f64 (cbrt.f64 70711/100000) 2)))) (cbrt.f64 70711/100000)) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2)) 1/3))) (*.f64 70711/300000 (-.f64 (*.f64 27519781727879580139643921576453/27000000000000000000000000000000 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2))) (+.f64 179503363065659419717/100000000000000000000 (*.f64 -30191289437/15000000000 (*.f64 (-.f64 1900161040244073/1000000000000000 (*.f64 911513957868707776969/300000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 230753/100000)) 1/3))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 5)) 1/3))))))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 64454063474854195617254959/45000000000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 230753/100000)) 1/3)) (+.f64 (*.f64 (+.f64 (*.f64 2/3 (/.f64 (*.f64 (-.f64 1900161040244073/1000000000000000 (*.f64 911513957868707776969/300000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 230753/100000)) 1/3))) (pow.f64 (cbrt.f64 70711/100000) 2)) (cbrt.f64 230753/100000))) (*.f64 911513957868707776969/900000000000000000000 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 4)) 1/3) (pow.f64 (cbrt.f64 70711/100000) 2)))) (*.f64 (cbrt.f64 230753/100000) (cbrt.f64 70711/100000))) (*.f64 70711/300000 (-.f64 1900161040244073/1000000000000000 (*.f64 911513957868707776969/300000000000000000000 (pow.f64 (/.f64 1 (cbrt.f64 230753/100000)) 1/3)))))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 -2134856267379707/1500000000000000 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 230753/100000) 4) 1) 1/3)) (*.f64 -2134856267379707/3000000000000000 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 230753/100000) 4) 1) 1/3))) x))))
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(fma.f64 -30191289437/30000000000 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2))) (*.f64 x (cbrt.f64 70711/100000))) (fma.f64 1/3 (/.f64 (+.f64 1900161040244073/1000000000000000 (*.f64 -911513957868707776969/300000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 230753/100000))))) (/.f64 (pow.f64 (cbrt.f64 230753/100000) 2) (*.f64 (cbrt.f64 70711/100000) (*.f64 x x)))) (fma.f64 1/3 (/.f64 (cbrt.f64 70711/100000) (/.f64 (pow.f64 (cbrt.f64 230753/100000) 2) (*.f64 (-.f64 (-.f64 (/.f64 27519781727879580139643921576453/27000000000000000000000000000000 (pow.f64 (cbrt.f64 230753/100000) 2)) 179503363065659419717/100000000000000000000) (*.f64 (*.f64 -30191289437/15000000000 (+.f64 1900161040244073/1000000000000000 (*.f64 -911513957868707776969/300000000000000000000 (cbrt.f64 (/.f64 1 (cbrt.f64 230753/100000)))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 5))))) (pow.f64 x 3)))) (*.f64 (cbrt.f64 230753/100000) (cbrt.f64 70711/100000)))))
(fma.f64 -30191289437/30000000000 (*.f64 x (*.f64 (cbrt.f64 70711/100000) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2))))) (fma.f64 1/3 (/.f64 (+.f64 1900161040244073/1000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 230753/100000))) -911513957868707776969/300000000000000000000)) (/.f64 (pow.f64 (cbrt.f64 230753/100000) 2) (*.f64 (cbrt.f64 70711/100000) (*.f64 x x)))) (fma.f64 1/3 (*.f64 (/.f64 (cbrt.f64 70711/100000) (pow.f64 (cbrt.f64 230753/100000) 2)) (*.f64 (-.f64 (/.f64 27519781727879580139643921576453/27000000000000000000000000000000 (pow.f64 (cbrt.f64 230753/100000) 2)) (fma.f64 (*.f64 (+.f64 1900161040244073/1000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 230753/100000))) -911513957868707776969/300000000000000000000)) -30191289437/15000000000) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 5))) 179503363065659419717/100000000000000000000)) (pow.f64 x 3))) (*.f64 (cbrt.f64 230753/100000) (cbrt.f64 70711/100000)))))
(fma.f64 1/3 (fma.f64 (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 230753/100000))) -911513957868707776969/300000000000000000000 1900161040244073/1000000000000000) (pow.f64 (cbrt.f64 230753/100000) 2)) (*.f64 (cbrt.f64 70711/100000) (*.f64 x x)) (*.f64 (*.f64 (-.f64 (/.f64 27519781727879580139643921576453/27000000000000000000000000000000 (pow.f64 (cbrt.f64 230753/100000) 2)) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 5))) (+.f64 -19122770647639937688918967/5000000000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 230753/100000))) 27519781727879580139643921576453/4500000000000000000000000000000)) 179503363065659419717/100000000000000000000)) (pow.f64 x 3)) (/.f64 (cbrt.f64 70711/100000) (pow.f64 (cbrt.f64 230753/100000) 2)))) (*.f64 (cbrt.f64 70711/100000) (+.f64 (cbrt.f64 230753/100000) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2))) (*.f64 x -30191289437/30000000000)))))
(fma.f64 1/3 (*.f64 (/.f64 (cbrt.f64 70711/100000) (cbrt.f64 230753/100000)) (+.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 230753/100000))) -911513957868707776969/300000000000000000000 1900161040244073/1000000000000000))) (cbrt.f64 230753/100000)) (/.f64 (+.f64 (/.f64 27519781727879580139643921576453/27000000000000000000000000000000 (pow.f64 (cbrt.f64 230753/100000) 2)) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 5))) (+.f64 19122770647639937688918967/5000000000000000000000000 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 230753/100000))) -27519781727879580139643921576453/4500000000000000000000000000000)) -179503363065659419717/100000000000000000000)) (/.f64 (cbrt.f64 230753/100000) (pow.f64 x 3))))) (*.f64 (cbrt.f64 70711/100000) (+.f64 (cbrt.f64 230753/100000) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 230753/100000) 2))) (*.f64 x -30191289437/30000000000)))))

eval1.2s (13.3%)

Compiler

Compiled 13493 to 10764 computations (20.2% saved)

prune244.0ms (2.8%)

Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New59611607
Fresh527
Picked101
Done235
Total60416620
Error
0.0b
Counts
620 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
14.4b
(*.f64 (*.f64 70711/100000 (sqrt.f64 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))) (sqrt.f64 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x)))
▶0.1b
(fma.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)) 70711/100000 (*.f64 (neg.f64 x) 70711/100000))
46.9b
(expm1.f64 (log1p.f64 (*.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))
▶54.2b
(cbrt.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)))
31.0b
16316775383/10000000000
▶47.9b
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 27061/4481 x) 2) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 27061/4481 x)))
✓31.5b
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
▶45.7b
(pow.f64 (sqrt.f64 (*.f64 x -70711/100000)) 2)
0.1b
(fma.f64 x -70711/100000 (/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)))
▶26.4b
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
32.2b
(pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 3)
✓31.6b
(*.f64 x -70711/100000)
45.3b
(*.f64 70711/100000 (pow.f64 (sqrt.f64 (-.f64 (/.f64 27061/4481 x) x)) 2))
32.5b
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) 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)))))
Compiler

Compiled 402 to 315 computations (21.6% saved)

localize31.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (neg.f64 x) 70711/100000)
0.2b
(fma.f64 x 27061/100000 230753/100000)
0.3b
(*.f64 x 4481/100000)
✓14.7b
(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1))
Compiler

Compiled 66 to 49 computations (25.8% saved)

series4.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1))
0.0ms
x
@0
(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1))
0.0ms
x
@inf
(/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1))

rewrite74.0ms (0.9%)

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 27061/100000 230753/100000) (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 27061/100000 230753/100000) (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 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2)) (log.f64 (cbrt.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 +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) (log.f64 (sqrt.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 -.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 (cbrt.f64 (pow.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))) (pow.f64 (cbrt.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 (pow.f64 (cbrt.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 (cbrt.f64 (pow.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 (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 (cbrt.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 2)) (cbrt.f64 (pow.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)) (cbrt.f64 (pow.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 (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) -1/2) (/.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 (cbrt.f64 (pow.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 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 (E.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 pow.f64 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) 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 (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 (/.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 pow.f64 (/.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 3) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 27061/100000 230753/100000)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2)) (cbrt.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 pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) (sqrt.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 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 cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 3) (pow.f64 (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 exp.f64 (*.f64 (log.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 exp.f64 (*.f64 (log.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 exp.f64 (*.f64 (log.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 exp.f64 (*.f64 (log.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 exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))) 1) 1))))))

simplify64.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
777×distribute-neg-frac_binary64
737×fma-def_binary64
730×associate-*l*_binary64
492×associate-*r*_binary64
417×times-frac_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
039183
199179
2243177
3642171
41944168
57361168
Stop Event
1×node limit
Counts
59 → 61
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)))))
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 (*.f64 x (fma.f64 x -179503363065659419717/100000000000000000000 1900161040244073/1000000000000000)) (fma.f64 -20191289437/10000000000 x 230753/100000))
(fma.f64 x (fma.f64 x (fma.f64 x -179503363065659419717/100000000000000000000 1900161040244073/1000000000000000) -20191289437/10000000000) 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 -1651231776/20079361 (*.f64 x x)))
(-.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 1651231776/20079361 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 -1651231776/20079361 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) (/.f64 151724043800704/89975616641 (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 1651231776/20079361 x) x)) (/.f64 151724043800704/89975616641 (pow.f64 x 3)))
(-.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 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -1651231776/20079361 (*.f64 x x)))) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4)))
(+.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (-.f64 (/.f64 27061/4481 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 (-.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 1651231776/20079361 x) x)) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.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 -1651231776/20079361 (*.f64 x x)))
(-.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 1651231776/20079361 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 -1651231776/20079361 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) (/.f64 151724043800704/89975616641 (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 1651231776/20079361 x) x)) (/.f64 151724043800704/89975616641 (pow.f64 x 3)))
(-.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 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -1651231776/20079361 (*.f64 x x)))) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4)))
(+.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (-.f64 (/.f64 27061/4481 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 (-.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 1651231776/20079361 x) x)) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4))))

localize5.0ms (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
@0
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)

rewrite87.0ms (1%)

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)

localize39.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (-.f64 (pow.f64 (/.f64 27061/4481 x) 2) (*.f64 x x)) 70711/100000)
✓0.3b
(pow.f64 (/.f64 27061/4481 x) 2)
0.3b
(/.f64 27061/4481 x)
✓29.9b
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 27061/4481 x) 2) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 27061/4481 x)))
Compiler

Compiled 58 to 37 computations (36.2% saved)

series7.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 27061/4481 x) 2) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 27061/4481 x)))
1.0ms
x
@0
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 27061/4481 x) 2) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 27061/4481 x)))
1.0ms
x
@-inf
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 27061/4481 x) 2) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 27061/4481 x)))
1.0ms
x
@inf
(*.f64 (-.f64 (pow.f64 (/.f64 27061/4481 x) 2) (*.f64 x x)) 70711/100000)
0.0ms
x
@0
(*.f64 (-.f64 (pow.f64 (/.f64 27061/4481 x) 2) (*.f64 x x)) 70711/100000)

rewrite103.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
639×log-prod_binary64
486×fma-def_binary64
349×pow2_binary64
249×fma-neg_binary64
240×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01248
128348
2405148
Stop Event
1×node limit
Counts
3 → 112
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 27061/4481 x) 2) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 27061/4481 x)))
(pow.f64 (/.f64 27061/4481 x) 2)
(*.f64 (-.f64 (pow.f64 (/.f64 27061/4481 x) 2) (*.f64 x x)) 70711/100000)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 732297721/20079361 (*.f64 x x)) 70711/100000) (*.f64 (*.f64 x (neg.f64 x)) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 70711/100000 (/.f64 732297721/20079361 (*.f64 x x))) (*.f64 70711/100000 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x))) 70711/100000)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x))) 70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x))) 70711/100000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x))) 70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (/.f64 27061/4481 x) 6) (pow.f64 x 6)) 70711/100000) (fma.f64 (*.f64 x x) (pow.f64 (hypot.f64 x (/.f64 27061/4481 x)) 2) (pow.f64 (/.f64 27061/4481 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (/.f64 27061/4481 x) 4) (pow.f64 x 4)) 70711/100000) (pow.f64 (hypot.f64 x (/.f64 27061/4481 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 70711/100000 (-.f64 (pow.f64 (/.f64 27061/4481 x) 6) (pow.f64 x 6))) (fma.f64 (*.f64 x x) (pow.f64 (hypot.f64 x (/.f64 27061/4481 x)) 2) (pow.f64 (/.f64 27061/4481 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 70711/100000 (-.f64 (pow.f64 (/.f64 27061/4481 x) 4) (pow.f64 x 4))) (pow.f64 (hypot.f64 x (/.f64 27061/4481 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 2) 5000045521/10000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x))) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 732297721/20079361 (*.f64 x x)) 70711/100000 (*.f64 (*.f64 x (neg.f64 x)) 70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 70711/100000 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 70711/100000 (*.f64 x (neg.f64 x))))))))

simplify138.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1150×associate-/r/_binary64
467×sqr-pow_binary64
460×associate-*l*_binary64
434×unswap-sqr_binary64
399×associate-/r*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020351
136315
256315
395315
4231315
5744315
63161315
74187315
84361315
94575315
104795315
115115315
126251315
137307315
147984315
Stop Event
1×node limit
Counts
148 → 124
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))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 51781504149631/2007936100000 (pow.f64 x 2))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.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 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(*.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 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.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 -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 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
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))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 51781504149631/2007936100000 (pow.f64 x 2))
(/.f64 51781504149631/2007936100000 (*.f64 x x))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (/.f64 51781504149631/2007936100000 (*.f64 x x)) (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(fma.f64 x (*.f64 x -70711/100000) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (/.f64 51781504149631/2007936100000 (*.f64 x x)) (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(fma.f64 x (*.f64 x -70711/100000) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (/.f64 51781504149631/2007936100000 (*.f64 x x)) (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(fma.f64 x (*.f64 x -70711/100000) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(*.f64 -70711/100000 (pow.f64 x 2))
(*.f64 -70711/100000 (*.f64 x x))
(*.f64 x (*.f64 x -70711/100000))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (/.f64 51781504149631/2007936100000 (*.f64 x x)) (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(fma.f64 x (*.f64 x -70711/100000) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (/.f64 51781504149631/2007936100000 (*.f64 x x)) (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(fma.f64 x (*.f64 x -70711/100000) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (/.f64 51781504149631/2007936100000 (*.f64 x x)) (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(fma.f64 x (*.f64 x -70711/100000) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(*.f64 -70711/100000 (pow.f64 x 2))
(*.f64 -70711/100000 (*.f64 x x))
(*.f64 x (*.f64 x -70711/100000))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (/.f64 51781504149631/2007936100000 (*.f64 x x)) (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(fma.f64 x (*.f64 x -70711/100000) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (/.f64 51781504149631/2007936100000 (*.f64 x x)) (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(fma.f64 x (*.f64 x -70711/100000) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (/.f64 51781504149631/2007936100000 (*.f64 x x)) (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(fma.f64 x (*.f64 x -70711/100000) (/.f64 51781504149631/2007936100000 (*.f64 x x)))

localize52.0ms (0.6%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 -353558218835431/1000000000000000 (pow.f64 x 3))
✓40.1b
(cbrt.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)))
Compiler

Compiled 18 to 14 computations (22.2% saved)

series12.0ms (0.1%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@0
(cbrt.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)))
3.0ms
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))

rewrite102.0ms (1.2%)

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))))))))

simplify115.0ms (1.3%)

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))

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(sqrt.f64 (*.f64 x -70711/100000))
0.2b
(*.f64 x -70711/100000)
✓0.3b
(pow.f64 (sqrt.f64 (*.f64 x -70711/100000)) 2)
Compiler

Compiled 17 to 13 computations (23.5% saved)

series10.0ms (0.1%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@0
(pow.f64 (sqrt.f64 (*.f64 x -70711/100000)) 2)
2.0ms
x
@-inf
(pow.f64 (sqrt.f64 (*.f64 x -70711/100000)) 2)
1.0ms
x
@inf
(pow.f64 (sqrt.f64 (*.f64 x -70711/100000)) 2)
1.0ms
x
@0
(sqrt.f64 (*.f64 x -70711/100000))
1.0ms
x
@-inf
(sqrt.f64 (*.f64 x -70711/100000))

rewrite73.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
114610
2132210
Stop Event
1×node limit
Counts
2 → 47
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (*.f64 x -70711/100000)) 2)
(sqrt.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 (sqrt.f64 -70711/100000) 2))))) (#(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 (sqrt.f64 (*.f64 x -70711/100000)) (sqrt.f64 (*.f64 x -70711/100000)))))) (#(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 x) 2) (*.f64 (cbrt.f64 x) -70711/100000))))) (#(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 (cbrt.f64 (*.f64 x -70711/100000)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x -70711/100000))) (sqrt.f64 (*.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 (*.f64 x -70711/100000) 1/4) (*.f64 (pow.f64 (*.f64 x -70711/100000) 1/4) (sqrt.f64 (*.f64 x -70711/100000))))))) (#(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 x) (*.f64 (sqrt.f64 -70711/100000) (sqrt.f64 (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x -70711/100000)) (pow.f64 (*.f64 x -70711/100000) 1/4)) (pow.f64 (*.f64 x -70711/100000) 1/4))))) (#(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 (sqrt.f64 (*.f64 x -70711/100000)) (cbrt.f64 (*.f64 x -70711/100000))) (cbrt.f64 (sqrt.f64 (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x -70711/100000)) (sqrt.f64 x)) (sqrt.f64 -70711/100000))))) (#(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 (sqrt.f64 (*.f64 x -70711/100000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x -70711/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 x -70711/100000))) (cbrt.f64 (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x -70711/100000)) (cbrt.f64 (sqrt.f64 (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -70711/100000) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x -70711/100000) 1/4) (pow.f64 (*.f64 x -70711/100000) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -70711/100000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -70711/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -70711/100000) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x -70711/100000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -70711/100000) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x -70711/100000) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 x -70711/100000))))))))

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
47 → 47
Calls
Call 1
Inputs
Outputs

eval223.0ms (2.6%)

Compiler

Compiled 8285 to 6013 computations (27.4% saved)

prune166.0ms (1.9%)

Pruning

18 alts after pruning (13 fresh and 5 done)

PrunedKeptTotal
New45011461
Fresh628
Picked011
Done347
Total45918477
Error
0.0b
Counts
477 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
▶47.9b
(/.f64 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 27061/4481 x)))
✓31.6b
(*.f64 x -70711/100000)
45.7b
(*.f64 (pow.f64 (*.f64 x -70711/100000) 1/4) (*.f64 (pow.f64 (*.f64 x -70711/100000) 1/4) (sqrt.f64 (*.f64 x -70711/100000))))
31.0b
16316775383/10000000000
▶47.9b
(pow.f64 (*.f64 100000/70711 (/.f64 (+.f64 x (/.f64 27061/4481 x)) (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)))) -1)
✓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))
32.2b
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 2) (cbrt.f64 (*.f64 x -70711/100000)))
▶0.1b
(fma.f64 (/.f64 (+.f64 (*.f64 x 27061/100000) 230753/100000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)) 70711/100000 (*.f64 (neg.f64 x) 70711/100000))
47.9b
(*.f64 (/.f64 1 (+.f64 x (/.f64 27061/4481 x))) (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000))
32.5b
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) x))
▶47.7b
(/.f64 (*.f64 x (*.f64 x -70711/100000)) (+.f64 x (/.f64 27061/4481 x)))
✓31.5b
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
✓45.7b
(pow.f64 (sqrt.f64 (*.f64 x -70711/100000)) 2)
0.1b
(fma.f64 x -70711/100000 (/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)))
45.7b
(pow.f64 (sqrt.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))) 2)
32.0b
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
▶47.9b
(*.f64 (/.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 1) (/.f64 70711/100000 (+.f64 x (/.f64 27061/4481 x))))
✓26.4b
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
Compiler

Compiled 417 to 306 computations (26.6% saved)

localize31.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (neg.f64 x) 70711/100000)
0.3b
(*.f64 x 4481/100000)
0.4b
(*.f64 x 27061/100000)
✓14.7b
(/.f64 (+.f64 (*.f64 x 27061/100000) 230753/100000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1))
Compiler

Compiled 72 to 54 computations (25% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite75.0ms (0.9%)

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
01316
128616
2353316
Stop Event
1×node limit
Counts
1 → 39
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 x 27061/100000) 230753/100000) (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 27061/100000 230753/100000) (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 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)))) 2)) (log.f64 (cbrt.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 +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1))))) (log.f64 (sqrt.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 -.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))) (pow.f64 (cbrt.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 (pow.f64 (cbrt.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 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 (pow.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) 2) 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 (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 (/.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 pow.f64 (/.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 3) (pow.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1) (fma.f64 x 27061/100000 230753/100000)) 1) -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 cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 27061/100000 230753/100000) 3) (pow.f64 (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))))))

simplify62.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
777×distribute-neg-frac_binary64
737×fma-def_binary64
730×associate-*l*_binary64
492×associate-*r*_binary64
417×times-frac_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
039183
199179
2243177
3642171
41944168
57361168
Stop Event
1×node limit
Counts
51 → 53
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)))))
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 (*.f64 x (fma.f64 x -179503363065659419717/100000000000000000000 1900161040244073/1000000000000000)) (fma.f64 -20191289437/10000000000 x 230753/100000))
(fma.f64 x (fma.f64 x (fma.f64 x -179503363065659419717/100000000000000000000 1900161040244073/1000000000000000) -20191289437/10000000000) 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 -1651231776/20079361 (*.f64 x x)))
(-.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 1651231776/20079361 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 -1651231776/20079361 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) (/.f64 151724043800704/89975616641 (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 1651231776/20079361 x) x)) (/.f64 151724043800704/89975616641 (pow.f64 x 3)))
(-.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 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -1651231776/20079361 (*.f64 x x)))) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4)))
(+.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (-.f64 (/.f64 27061/4481 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 (-.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 1651231776/20079361 x) x)) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.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 -1651231776/20079361 (*.f64 x x)))
(-.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 1651231776/20079361 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 -1651231776/20079361 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) (/.f64 151724043800704/89975616641 (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 1651231776/20079361 x) x)) (/.f64 151724043800704/89975616641 (pow.f64 x 3)))
(-.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 (/.f64 27061/4481 x) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -1651231776/20079361 (*.f64 x x)))) (/.f64 14315508183474457216/403180738168321 (pow.f64 x 4)))
(+.f64 (/.f64 -1651231776/20079361 (*.f64 x x)) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (-.f64 (/.f64 27061/4481 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 (-.f64 (/.f64 27061/4481 x) (/.f64 (/.f64 1651231776/20079361 x) x)) (+.f64 (/.f64 151724043800704/89975616641 (pow.f64 x 3)) (/.f64 -14315508183474457216/403180738168321 (pow.f64 x 4))))

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 x (*.f64 x -70711/100000))
0.2b
(*.f64 x -70711/100000)
0.3b
(/.f64 27061/4481 x)
✓15.0b
(/.f64 (*.f64 x (*.f64 x -70711/100000)) (+.f64 x (/.f64 27061/4481 x)))
Compiler

Compiled 31 to 20 computations (35.5% saved)

series6.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(/.f64 (*.f64 x (*.f64 x -70711/100000)) (+.f64 x (/.f64 27061/4481 x)))
1.0ms
x
@0
(/.f64 (*.f64 x (*.f64 x -70711/100000)) (+.f64 x (/.f64 27061/4481 x)))
0.0ms
x
@-inf
(/.f64 (*.f64 x (*.f64 x -70711/100000)) (+.f64 x (/.f64 27061/4481 x)))
0.0ms
x
@0
(*.f64 x (*.f64 x -70711/100000))
0.0ms
x
@inf
(*.f64 x (*.f64 x -70711/100000))

rewrite74.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
634×prod-diff_binary64
555×log-prod_binary64
331×pow-prod-down_binary64
271×pow2_binary64
211×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
120823
2301923
Stop Event
1×node limit
Counts
2 → 72
Calls
Call 1
Inputs
(/.f64 (*.f64 x (*.f64 x -70711/100000)) (+.f64 x (/.f64 27061/4481 x)))
(*.f64 x (*.f64 x -70711/100000))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x (+.f64 x (/.f64 27061/4481 x))) (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 x (/.f64 27061/4481 x))) (*.f64 x -70711/100000)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 x (/.f64 27061/4481 x))) (*.f64 x -70711/100000))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 x (/.f64 27061/4481 x))) (*.f64 x -70711/100000))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 x (/.f64 27061/4481 x))) (*.f64 x -70711/100000))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x (/.f64 27061/4481 x))) (*.f64 x -70711/100000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (/.f64 (+.f64 x (/.f64 27061/4481 x)) (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 x -70711/100000) (/.f64 1 (+.f64 x (/.f64 27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -70711/100000) (*.f64 x (/.f64 1 (+.f64 x (/.f64 27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x -70711/100000)) (/.f64 1 (+.f64 x (/.f64 27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x (+.f64 x (/.f64 27061/4481 x))) (*.f64 x -70711/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 x (+.f64 x (/.f64 27061/4481 x))) (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 -70711/100000 (/.f64 1 (+.f64 x (/.f64 27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 -70711/100000)) 4)) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x -70711/100000))) (/.f64 1 (+.f64 x (/.f64 27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 x (/.f64 27061/4481 x))) (*.f64 x -70711/100000))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x (/.f64 27061/4481 x)) (*.f64 x (*.f64 x -70711/100000))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x (/.f64 27061/4481 x)) (*.f64 x (*.f64 x -70711/100000))) -2)) (cbrt.f64 (*.f64 (/.f64 x (+.f64 x (/.f64 27061/4481 x))) (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 -70711/100000)) (*.f64 (*.f64 x (sqrt.f64 -70711/100000)) (/.f64 1 (+.f64 x (/.f64 27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 -70711/100000)) (sqrt.f64 (+.f64 x (/.f64 27061/4481 x)))) (/.f64 (*.f64 x (sqrt.f64 -70711/100000)) (sqrt.f64 (+.f64 x (/.f64 27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) 70711/100000) (/.f64 1 (neg.f64 (+.f64 x (/.f64 27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (/.f64 27061/4481 x))) (*.f64 x (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (*.f64 x -70711/100000) (+.f64 x (/.f64 27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x -70711/100000) 1) (/.f64 x (+.f64 x (/.f64 27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 x (/.f64 27061/4481 x))) (*.f64 x -70711/100000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 1) (/.f64 -70711/100000 (+.f64 x (/.f64 27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 -70711/100000)) 4)) 1) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x -70711/100000))) (+.f64 x (/.f64 27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 -70711/100000)) 1) (/.f64 (*.f64 x (sqrt.f64 -70711/100000)) (+.f64 x (/.f64 27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x (/.f64 27061/4481 x))) 2)) (/.f64 (*.f64 x -70711/100000) (cbrt.f64 (+.f64 x (/.f64 27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x -70711/100000) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 27061/4481 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 x (/.f64 27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 27061/4481 x))) -2) (/.f64 (*.f64 x (*.f64 x -70711/100000)) (cbrt.f64 (+.f64 x (/.f64 27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 27061/4481 x))) 2)) (/.f64 -70711/100000 (cbrt.f64 (+.f64 x (/.f64 27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 -70711/100000)) 4)) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 27061/4481 x))) 2)) (cbrt.f64 (*.f64 (/.f64 x (+.f64 x (/.f64 27061/4481 x))) (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 -70711/100000)) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 27061/4481 x))) 2)) (/.f64 (*.f64 x (sqrt.f64 -70711/100000)) (cbrt.f64 (+.f64 x (/.f64 27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (+.f64 x (/.f64 27061/4481 x)))) (/.f64 (*.f64 x -70711/100000) (sqrt.f64 (+.f64 x (/.f64 27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x -70711/100000) (sqrt.f64 (+.f64 x (/.f64 27061/4481 x)))) (/.f64 x (sqrt.f64 (+.f64 x (/.f64 27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x (/.f64 27061/4481 x)) -1/2) (/.f64 (*.f64 x (*.f64 x -70711/100000)) (sqrt.f64 (+.f64 x (/.f64 27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (sqrt.f64 (+.f64 x (/.f64 27061/4481 x)))) (/.f64 -70711/100000 (sqrt.f64 (+.f64 x (/.f64 27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 -70711/100000)) 4)) (sqrt.f64 (+.f64 x (/.f64 27061/4481 x)))) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x -70711/100000))) (sqrt.f64 (+.f64 x (/.f64 27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x -70711/100000)) (fma.f64 19816708627981/89975616641 (pow.f64 x -3) (pow.f64 x 3))) (fma.f64 (/.f64 27061/4481 x) (-.f64 (/.f64 27061/4481 x) x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x -70711/100000)) (-.f64 (*.f64 x x) (*.f64 732297721/20079361 (pow.f64 x -2)))) (-.f64 x (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x (+.f64 x (/.f64 27061/4481 x))) (*.f64 x -70711/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x (/.f64 27061/4481 x)) (*.f64 x (*.f64 x -70711/100000))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x (/.f64 27061/4481 x)) (*.f64 x (*.f64 x -70711/100000))) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x (+.f64 x (/.f64 27061/4481 x))) (*.f64 x -70711/100000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x (sqrt.f64 -70711/100000)) (sqrt.f64 (+.f64 x (/.f64 27061/4481 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (/.f64 27061/4481 x)) (*.f64 x (*.f64 x -70711/100000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 x (sqrt.f64 -70711/100000)) 6) (pow.f64 (+.f64 x (/.f64 27061/4481 x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 x (/.f64 27061/4481 x)) (*.f64 x (*.f64 x -70711/100000))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (*.f64 x -70711/100000)) (neg.f64 (+.f64 x (/.f64 27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x (/.f64 27061/4481 x)) (*.f64 x (*.f64 x -70711/100000))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 x (+.f64 x (/.f64 27061/4481 x))) (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x (+.f64 x (/.f64 27061/4481 x))) (*.f64 x -70711/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x (/.f64 27061/4481 x)) (*.f64 x (*.f64 x -70711/100000))) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x (sqrt.f64 -70711/100000)) 6) (pow.f64 (+.f64 x (/.f64 27061/4481 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x (+.f64 x (/.f64 27061/4481 x))) (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x (+.f64 x (/.f64 27061/4481 x))) (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x (+.f64 x (/.f64 27061/4481 x))) (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (+.f64 x (/.f64 27061/4481 x))) (*.f64 x -70711/100000))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -70711/100000))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -70711/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -70711/100000)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -70711/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -70711/100000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -70711/100000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 -70711/100000)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 -70711/100000)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -70711/100000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -70711/100000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 -70711/100000)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x -70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -70711/100000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 -70711/100000)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x -70711/100000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -70711/100000))) 1))))))

simplify65.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
682×fma-def_binary64
640×fma-neg_binary64
480×associate-/r*_binary64
478×unswap-sqr_binary64
439×distribute-neg-frac_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042276
1113264
2264264
3712264
41847264
55066264
Stop Event
1×node limit
Counts
96 → 89
Calls
Call 1
Inputs
(*.f64 -316855991/2706100000 (pow.f64 x 3))
(+.f64 (*.f64 1419831695671/73229772100000 (pow.f64 x 5)) (*.f64 -316855991/2706100000 (pow.f64 x 3)))
(+.f64 (*.f64 -6362265828301751/1981670862798100000 (pow.f64 x 7)) (+.f64 (*.f64 1419831695671/73229772100000 (pow.f64 x 5)) (*.f64 -316855991/2706100000 (pow.f64 x 3))))
(+.f64 (*.f64 -6362265828301751/1981670862798100000 (pow.f64 x 7)) (+.f64 (*.f64 1419831695671/73229772100000 (pow.f64 x 5)) (+.f64 (*.f64 -316855991/2706100000 (pow.f64 x 3)) (*.f64 28509313176620146231/53625995218179384100000 (pow.f64 x 9)))))
(*.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 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1401259283793164491/8997561664100000 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 51781504149631/2007936100000 (/.f64 1 (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 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1401259283793164491/8997561664100000 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 3))))
(*.f64 -70711/100000 (pow.f64 x 2))
(*.f64 -70711/100000 (pow.f64 x 2))
(*.f64 -70711/100000 (pow.f64 x 2))
(*.f64 -70711/100000 (pow.f64 x 2))
(*.f64 -70711/100000 (pow.f64 x 2))
(*.f64 -70711/100000 (pow.f64 x 2))
(*.f64 -70711/100000 (pow.f64 x 2))
(*.f64 -70711/100000 (pow.f64 x 2))
(*.f64 -70711/100000 (pow.f64 x 2))
(*.f64 -70711/100000 (pow.f64 x 2))
(*.f64 -70711/100000 (pow.f64 x 2))
(*.f64 -70711/100000 (pow.f64 x 2))
Outputs
(*.f64 -316855991/2706100000 (pow.f64 x 3))
(+.f64 (*.f64 1419831695671/73229772100000 (pow.f64 x 5)) (*.f64 -316855991/2706100000 (pow.f64 x 3)))
(fma.f64 1419831695671/73229772100000 (pow.f64 x 5) (*.f64 -316855991/2706100000 (pow.f64 x 3)))
(fma.f64 -316855991/2706100000 (pow.f64 x 3) (*.f64 1419831695671/73229772100000 (pow.f64 x 5)))
(+.f64 (*.f64 -6362265828301751/1981670862798100000 (pow.f64 x 7)) (+.f64 (*.f64 1419831695671/73229772100000 (pow.f64 x 5)) (*.f64 -316855991/2706100000 (pow.f64 x 3))))
(fma.f64 -6362265828301751/1981670862798100000 (pow.f64 x 7) (fma.f64 1419831695671/73229772100000 (pow.f64 x 5) (*.f64 -316855991/2706100000 (pow.f64 x 3))))
(fma.f64 -6362265828301751/1981670862798100000 (pow.f64 x 7) (fma.f64 -316855991/2706100000 (pow.f64 x 3) (*.f64 1419831695671/73229772100000 (pow.f64 x 5))))
(fma.f64 -316855991/2706100000 (pow.f64 x 3) (fma.f64 -6362265828301751/1981670862798100000 (pow.f64 x 7) (*.f64 1419831695671/73229772100000 (pow.f64 x 5))))
(fma.f64 1419831695671/73229772100000 (pow.f64 x 5) (fma.f64 -316855991/2706100000 (pow.f64 x 3) (*.f64 -6362265828301751/1981670862798100000 (pow.f64 x 7))))
(+.f64 (*.f64 -6362265828301751/1981670862798100000 (pow.f64 x 7)) (+.f64 (*.f64 1419831695671/73229772100000 (pow.f64 x 5)) (+.f64 (*.f64 -316855991/2706100000 (pow.f64 x 3)) (*.f64 28509313176620146231/53625995218179384100000 (pow.f64 x 9)))))
(fma.f64 -6362265828301751/1981670862798100000 (pow.f64 x 7) (fma.f64 1419831695671/73229772100000 (pow.f64 x 5) (fma.f64 -316855991/2706100000 (pow.f64 x 3) (*.f64 28509313176620146231/53625995218179384100000 (pow.f64 x 9)))))
(fma.f64 -6362265828301751/1981670862798100000 (pow.f64 x 7) (fma.f64 28509313176620146231/53625995218179384100000 (pow.f64 x 9) (fma.f64 -316855991/2706100000 (pow.f64 x 3) (*.f64 1419831695671/73229772100000 (pow.f64 x 5)))))
(fma.f64 -316855991/2706100000 (pow.f64 x 3) (fma.f64 28509313176620146231/53625995218179384100000 (pow.f64 x 9) (fma.f64 -6362265828301751/1981670862798100000 (pow.f64 x 7) (*.f64 1419831695671/73229772100000 (pow.f64 x 5)))))
(fma.f64 -316855991/2706100000 (pow.f64 x 3) (fma.f64 1419831695671/73229772100000 (pow.f64 x 5) (fma.f64 -6362265828301751/1981670862798100000 (pow.f64 x 7) (*.f64 28509313176620146231/53625995218179384100000 (pow.f64 x 9)))))
(*.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 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (*.f64 x -70711/100000) (/.f64 51781504149631/2007936100000 (pow.f64 x 3))))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -51781504149631/2007936100000 (pow.f64 x 3))))
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -51781504149631/2007936100000 (pow.f64 x 3)))
(+.f64 (/.f64 -51781504149631/2007936100000 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)))
(-.f64 (+.f64 (*.f64 1401259283793164491/8997561664100000 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1401259283793164491/8997561664100000 (pow.f64 x 5)) (+.f64 (/.f64 1913510371/448100000 x) (-.f64 (*.f64 x -70711/100000) (/.f64 51781504149631/2007936100000 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -51781504149631/2007936100000 (pow.f64 x 3)))) (/.f64 1401259283793164491/8997561664100000 (pow.f64 x 5)))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 1401259283793164491/8997561664100000 (pow.f64 x 5)) (fma.f64 x -70711/100000 (/.f64 -51781504149631/2007936100000 (pow.f64 x 3)))))
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (+.f64 (/.f64 1401259283793164491/8997561664100000 (pow.f64 x 5)) (/.f64 -51781504149631/2007936100000 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -51781504149631/2007936100000 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))) (/.f64 1401259283793164491/8997561664100000 (pow.f64 x 5)))
(*.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 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1913510371/448100000 x) (-.f64 (*.f64 x -70711/100000) (/.f64 51781504149631/2007936100000 (pow.f64 x 3))))
(+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -51781504149631/2007936100000 (pow.f64 x 3))))
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (/.f64 -51781504149631/2007936100000 (pow.f64 x 3)))
(+.f64 (/.f64 -51781504149631/2007936100000 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)))
(-.f64 (+.f64 (*.f64 1401259283793164491/8997561664100000 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1913510371/448100000 (/.f64 1 x)) (*.f64 -70711/100000 x))) (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1401259283793164491/8997561664100000 (pow.f64 x 5)) (+.f64 (/.f64 1913510371/448100000 x) (-.f64 (*.f64 x -70711/100000) (/.f64 51781504149631/2007936100000 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 1913510371/448100000 x) (fma.f64 x -70711/100000 (/.f64 -51781504149631/2007936100000 (pow.f64 x 3)))) (/.f64 1401259283793164491/8997561664100000 (pow.f64 x 5)))
(+.f64 (/.f64 1913510371/448100000 x) (+.f64 (/.f64 1401259283793164491/8997561664100000 (pow.f64 x 5)) (fma.f64 x -70711/100000 (/.f64 -51781504149631/2007936100000 (pow.f64 x 3)))))
(+.f64 (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x)) (+.f64 (/.f64 1401259283793164491/8997561664100000 (pow.f64 x 5)) (/.f64 -51781504149631/2007936100000 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -51781504149631/2007936100000 (pow.f64 x 3)) (fma.f64 x -70711/100000 (/.f64 1913510371/448100000 x))) (/.f64 1401259283793164491/8997561664100000 (pow.f64 x 5)))
(*.f64 -70711/100000 (pow.f64 x 2))
(*.f64 -70711/100000 (*.f64 x x))
(*.f64 x (*.f64 x -70711/100000))
(*.f64 -70711/100000 (pow.f64 x 2))
(*.f64 -70711/100000 (*.f64 x x))
(*.f64 x (*.f64 x -70711/100000))
(*.f64 -70711/100000 (pow.f64 x 2))
(*.f64 -70711/100000 (*.f64 x x))
(*.f64 x (*.f64 x -70711/100000))
(*.f64 -70711/100000 (pow.f64 x 2))
(*.f64 -70711/100000 (*.f64 x x))
(*.f64 x (*.f64 x -70711/100000))
(*.f64 -70711/100000 (pow.f64 x 2))
(*.f64 -70711/100000 (*.f64 x x))
(*.f64 x (*.f64 x -70711/100000))
(*.f64 -70711/100000 (pow.f64 x 2))
(*.f64 -70711/100000 (*.f64 x x))
(*.f64 x (*.f64 x -70711/100000))
(*.f64 -70711/100000 (pow.f64 x 2))
(*.f64 -70711/100000 (*.f64 x x))
(*.f64 x (*.f64 x -70711/100000))
(*.f64 -70711/100000 (pow.f64 x 2))
(*.f64 -70711/100000 (*.f64 x x))
(*.f64 x (*.f64 x -70711/100000))
(*.f64 -70711/100000 (pow.f64 x 2))
(*.f64 -70711/100000 (*.f64 x x))
(*.f64 x (*.f64 x -70711/100000))
(*.f64 -70711/100000 (pow.f64 x 2))
(*.f64 -70711/100000 (*.f64 x x))
(*.f64 x (*.f64 x -70711/100000))
(*.f64 -70711/100000 (pow.f64 x 2))
(*.f64 -70711/100000 (*.f64 x x))
(*.f64 x (*.f64 x -70711/100000))
(*.f64 -70711/100000 (pow.f64 x 2))
(*.f64 -70711/100000 (*.f64 x x))
(*.f64 x (*.f64 x -70711/100000))

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000)
0.3b
(/.f64 27061/4481 x)
✓0.6b
(/.f64 732297721/20079361 (*.f64 x x))
✓29.9b
(/.f64 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 27061/4481 x)))
Compiler

Compiled 58 to 29 computations (50% saved)

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 27061/4481 x)))
1.0ms
x
@inf
(/.f64 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 27061/4481 x)))
0.0ms
x
@-inf
(/.f64 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 27061/4481 x)))
0.0ms
x
@0
(/.f64 732297721/20079361 (*.f64 x x))
0.0ms
x
@0
(*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000)

rewrite92.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
652×log-prod_binary64
495×fma-def_binary64
278×fma-neg_binary64
261×log-div_binary64
243×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01248
128748
2423248
Stop Event
1×node limit
Counts
3 → 109
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 27061/4481 x)))
(/.f64 732297721/20079361 (*.f64 x x))
(*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000)
Outputs
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simplify132.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1150×associate-/r/_binary64
467×sqr-pow_binary64
460×associate-*l*_binary64
434×unswap-sqr_binary64
399×associate-/r*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020351
136315
256315
395315
4231315
5744315
63161315
74187315
84361315
94575315
104795315
115115315
126251315
137307315
147984315
Stop Event
1×node limit
Counts
145 → 122
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))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 51781504149631/2007936100000 (pow.f64 x 2))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.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 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(*.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 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.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 -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 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
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))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 732297721/20079361 (pow.f64 x 2))
(/.f64 732297721/20079361 (*.f64 x x))
(/.f64 51781504149631/2007936100000 (pow.f64 x 2))
(/.f64 51781504149631/2007936100000 (*.f64 x x))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (/.f64 51781504149631/2007936100000 (*.f64 x x)) (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(fma.f64 x (*.f64 x -70711/100000) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (/.f64 51781504149631/2007936100000 (*.f64 x x)) (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(fma.f64 x (*.f64 x -70711/100000) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (/.f64 51781504149631/2007936100000 (*.f64 x x)) (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(fma.f64 x (*.f64 x -70711/100000) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(*.f64 -70711/100000 (pow.f64 x 2))
(*.f64 -70711/100000 (*.f64 x x))
(*.f64 x (*.f64 x -70711/100000))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (/.f64 51781504149631/2007936100000 (*.f64 x x)) (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(fma.f64 x (*.f64 x -70711/100000) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (/.f64 51781504149631/2007936100000 (*.f64 x x)) (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(fma.f64 x (*.f64 x -70711/100000) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (/.f64 51781504149631/2007936100000 (*.f64 x x)) (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(fma.f64 x (*.f64 x -70711/100000) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(*.f64 -70711/100000 (pow.f64 x 2))
(*.f64 -70711/100000 (*.f64 x x))
(*.f64 x (*.f64 x -70711/100000))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (/.f64 51781504149631/2007936100000 (*.f64 x x)) (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(fma.f64 x (*.f64 x -70711/100000) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (/.f64 51781504149631/2007936100000 (*.f64 x x)) (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(fma.f64 x (*.f64 x -70711/100000) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 2))) (*.f64 -70711/100000 (pow.f64 x 2)))
(+.f64 (/.f64 51781504149631/2007936100000 (*.f64 x x)) (*.f64 -70711/100000 (*.f64 x x)))
(fma.f64 -70711/100000 (*.f64 x x) (/.f64 51781504149631/2007936100000 (*.f64 x x)))
(fma.f64 x (*.f64 x -70711/100000) (/.f64 51781504149631/2007936100000 (*.f64 x x)))

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f64 27061/4481 x)
✓0.4b
(/.f64 70711/100000 (+.f64 x (/.f64 27061/4481 x)))
0.6b
(/.f64 732297721/20079361 (*.f64 x x))
✓29.6b
(*.f64 (/.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 1) (/.f64 70711/100000 (+.f64 x (/.f64 27061/4481 x))))
Compiler

Compiled 68 to 37 computations (45.6% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 70711/100000 (+.f64 x (/.f64 27061/4481 x)))
1.0ms
x
@inf
(/.f64 70711/100000 (+.f64 x (/.f64 27061/4481 x)))
0.0ms
x
@-inf
(/.f64 70711/100000 (+.f64 x (/.f64 27061/4481 x)))
0.0ms
x
@0
(*.f64 (/.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 1) (/.f64 70711/100000 (+.f64 x (/.f64 27061/4481 x))))
0.0ms
x
@inf
(*.f64 (/.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 1) (/.f64 70711/100000 (+.f64 x (/.f64 27061/4481 x))))

rewrite97.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
647×log-prod_binary64
498×fma-def_binary64
338×log-div_binary64
281×fma-neg_binary64
252×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01435
133635
2452835
Stop Event
1×node limit
Counts
2 → 95
Calls
Call 1
Inputs
(*.f64 (/.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 1) (/.f64 70711/100000 (+.f64 x (/.f64 27061/4481 x))))
(/.f64 70711/100000 (+.f64 x (/.f64 27061/4481 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 732297721/20079361 (pow.f64 x -2) (*.f64 x (neg.f64 x))) (*.f64 (+.f64 x (/.f64 27061/4481 x)) 100000/70711)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 732297721/20079361 (pow.f64 x -2)) (/.f64 70711/100000 (+.f64 x (/.f64 27061/4481 x)))) (*.f64 (*.f64 x (neg.f64 x)) (/.f64 70711/100000 (+.f64 x (/.f64 27061/4481 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 70711/100000 (+.f64 x (/.f64 27061/4481 x))) (*.f64 732297721/20079361 (pow.f64 x -2))) (*.f64 (/.f64 70711/100000 (+.f64 x (/.f64 27061/4481 x))) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 732297721/20079361 (pow.f64 x -2) (*.f64 x (neg.f64 x))) (*.f64 (+.f64 x (/.f64 27061/4481 x)) 100000/70711)))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 732297721/20079361 (pow.f64 x -2) (*.f64 x (neg.f64 x))) (*.f64 (+.f64 x (/.f64 27061/4481 x)) 100000/70711)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 732297721/20079361 (pow.f64 x -2) (*.f64 x (neg.f64 x))) (*.f64 (+.f64 x (/.f64 27061/4481 x)) 100000/70711))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 732297721/20079361 (pow.f64 x -2) (*.f64 x (neg.f64 x))) (*.f64 (+.f64 x (/.f64 27061/4481 x)) 100000/70711))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 732297721/20079361 (pow.f64 x -2) (*.f64 x (neg.f64 x))) (*.f64 (+.f64 x (/.f64 27061/4481 x)) 100000/70711))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 732297721/20079361 (pow.f64 x -2) (*.f64 x (neg.f64 x))) (*.f64 (+.f64 x (/.f64 27061/4481 x)) 100000/70711)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 732297721/20079361 (pow.f64 x -2) (*.f64 x (neg.f64 x))) (*.f64 (+.f64 x (/.f64 27061/4481 x)) 100000/70711))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 732297721/20079361 (pow.f64 x -2) (*.f64 x (neg.f64 x))) (*.f64 (*.f64 (+.f64 x (/.f64 27061/4481 x)) 100000/70711) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 1 (fma.f64 732297721/20079361 (pow.f64 x -2) (*.f64 x (neg.f64 x)))) (*.f64 (+.f64 x (/.f64 27061/4481 x)) 100000/70711)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 (+.f64 x (/.f64 27061/4481 x)) 100000/70711) (/.f64 1 (fma.f64 732297721/20079361 (pow.f64 x -2) (*.f64 x (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (/.f64 (fma.f64 732297721/20079361 (pow.f64 x -2) (*.f64 x (neg.f64 x))) (*.f64 (+.f64 x (/.f64 27061/4481 x)) 100000/70711))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 27061/4481 x)) (*.f64 (fma.f64 732297721/20079361 (pow.f64 x -2) (*.f64 x (neg.f64 x))) 70711/100000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 70711/100000 (*.f64 (/.f64 1 (fma.f64 732297721/20079361 (pow.f64 x -2) (*.f64 x (neg.f64 x)))) (+.f64 x (/.f64 27061/4481 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 70711/100000 (*.f64 (+.f64 x (/.f64 27061/4481 x)) (/.f64 1 (fma.f64 732297721/20079361 (pow.f64 x -2) (*.f64 x (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 70711/100000 (+.f64 x (/.f64 27061/4481 x))) (/.f64 1 (fma.f64 732297721/20079361 (pow.f64 x -2) (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 732297721/20079361 (pow.f64 x -2) (*.f64 x (neg.f64 x))) (*.f64 (+.f64 x (/.f64 27061/4481 x)) 100000/70711)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 732297721/20079361 (pow.f64 x -2) (*.f64 x (neg.f64 x))) (*.f64 (+.f64 x (/.f64 27061/4481 x)) 100000/70711))) 2) (/.f64 1 (cbrt.f64 (/.f64 (fma.f64 732297721/20079361 (pow.f64 x -2) (*.f64 x (neg.f64 x))) (*.f64 (+.f64 x (/.f64 27061/4481 x)) 100000/70711)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (fma.f64 732297721/20079361 (pow.f64 x -2) 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#<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 732297721/20079361 (pow.f64 x -2) (*.f64 x (neg.f64 x))) 70711/100000) (+.f64 x (/.f64 27061/4481 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 392701940846296607456136361/8095611589928196122881 (pow.f64 x 6)) (pow.f64 x 6)) (*.f64 (*.f64 (+.f64 x (/.f64 27061/4481 x)) 100000/70711) (fma.f64 (*.f64 x x) (fma.f64 732297721/20079361 (pow.f64 x -2) (*.f64 x x)) (/.f64 536259952181793841/403180738168321 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 536259952181793841/403180738168321 (pow.f64 x 4)) (pow.f64 x 4)) (*.f64 (*.f64 (+.f64 x (/.f64 27061/4481 x)) 100000/70711) (fma.f64 732297721/20079361 (pow.f64 x -2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (fma.f64 732297721/20079361 (pow.f64 x -2) (*.f64 x (neg.f64 x))) (*.f64 (+.f64 x (/.f64 27061/4481 x)) 100000/70711))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (fma.f64 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simplify79.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
704×associate-/l*_binary64
626×fma-def_binary64
549×distribute-neg-frac_binary64
448×div-sub_binary64
330×associate-/r/_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043300
1110282
2264282
3674282
41639282
54754282
67744282
Stop Event
1×node limit
Counts
119 → 115
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))
(*.f64 316855991/2706100000 x)
(+.f64 (*.f64 316855991/2706100000 x) (*.f64 -1419831695671/73229772100000 (pow.f64 x 3)))
(+.f64 (*.f64 6362265828301751/1981670862798100000 (pow.f64 x 5)) (+.f64 (*.f64 316855991/2706100000 x) (*.f64 -1419831695671/73229772100000 (pow.f64 x 3))))
(+.f64 (*.f64 -28509313176620146231/53625995218179384100000 (pow.f64 x 7)) (+.f64 (*.f64 6362265828301751/1981670862798100000 (pow.f64 x 5)) (+.f64 (*.f64 316855991/2706100000 x) (*.f64 -1419831695671/73229772100000 (pow.f64 x 3)))))
(/.f64 70711/100000 x)
(-.f64 (*.f64 70711/100000 (/.f64 1 x)) (*.f64 1913510371/448100000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 5))) (*.f64 70711/100000 (/.f64 1 x))) (*.f64 1913510371/448100000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 5))) (*.f64 70711/100000 (/.f64 1 x))) (+.f64 (*.f64 1401259283793164491/8997561664100000 (/.f64 1 (pow.f64 x 7))) (*.f64 1913510371/448100000 (/.f64 1 (pow.f64 x 3)))))
(/.f64 70711/100000 x)
(-.f64 (*.f64 70711/100000 (/.f64 1 x)) (*.f64 1913510371/448100000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 5))) (*.f64 70711/100000 (/.f64 1 x))) (*.f64 1913510371/448100000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 5))) (*.f64 70711/100000 (/.f64 1 x))) (+.f64 (*.f64 1401259283793164491/8997561664100000 (/.f64 1 (pow.f64 x 7))) (*.f64 1913510371/448100000 (/.f64 1 (pow.f64 x 3)))))
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))
(*.f64 316855991/2706100000 x)
(*.f64 x 316855991/2706100000)
(+.f64 (*.f64 316855991/2706100000 x) (*.f64 -1419831695671/73229772100000 (pow.f64 x 3)))
(fma.f64 316855991/2706100000 x (*.f64 -1419831695671/73229772100000 (pow.f64 x 3)))
(fma.f64 x 316855991/2706100000 (*.f64 -1419831695671/73229772100000 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -1419831695671/73229772100000) 316855991/2706100000))
(+.f64 (*.f64 6362265828301751/1981670862798100000 (pow.f64 x 5)) (+.f64 (*.f64 316855991/2706100000 x) (*.f64 -1419831695671/73229772100000 (pow.f64 x 3))))
(fma.f64 6362265828301751/1981670862798100000 (pow.f64 x 5) (fma.f64 316855991/2706100000 x (*.f64 -1419831695671/73229772100000 (pow.f64 x 3))))
(fma.f64 6362265828301751/1981670862798100000 (pow.f64 x 5) (fma.f64 x 316855991/2706100000 (*.f64 -1419831695671/73229772100000 (pow.f64 x 3))))
(fma.f64 x 316855991/2706100000 (fma.f64 -1419831695671/73229772100000 (pow.f64 x 3) (*.f64 6362265828301751/1981670862798100000 (pow.f64 x 5))))
(fma.f64 x 316855991/2706100000 (fma.f64 6362265828301751/1981670862798100000 (pow.f64 x 5) (*.f64 -1419831695671/73229772100000 (pow.f64 x 3))))
(+.f64 (*.f64 -28509313176620146231/53625995218179384100000 (pow.f64 x 7)) (+.f64 (*.f64 6362265828301751/1981670862798100000 (pow.f64 x 5)) (+.f64 (*.f64 316855991/2706100000 x) (*.f64 -1419831695671/73229772100000 (pow.f64 x 3)))))
(fma.f64 -28509313176620146231/53625995218179384100000 (pow.f64 x 7) (fma.f64 6362265828301751/1981670862798100000 (pow.f64 x 5) (fma.f64 316855991/2706100000 x (*.f64 -1419831695671/73229772100000 (pow.f64 x 3)))))
(fma.f64 -28509313176620146231/53625995218179384100000 (pow.f64 x 7) (fma.f64 6362265828301751/1981670862798100000 (pow.f64 x 5) (fma.f64 x 316855991/2706100000 (*.f64 -1419831695671/73229772100000 (pow.f64 x 3)))))
(fma.f64 6362265828301751/1981670862798100000 (pow.f64 x 5) (fma.f64 -28509313176620146231/53625995218179384100000 (pow.f64 x 7) (fma.f64 x 316855991/2706100000 (*.f64 -1419831695671/73229772100000 (pow.f64 x 3)))))
(fma.f64 x 316855991/2706100000 (fma.f64 -28509313176620146231/53625995218179384100000 (pow.f64 x 7) (fma.f64 6362265828301751/1981670862798100000 (pow.f64 x 5) (*.f64 -1419831695671/73229772100000 (pow.f64 x 3)))))
(fma.f64 x 316855991/2706100000 (fma.f64 -1419831695671/73229772100000 (pow.f64 x 3) (fma.f64 6362265828301751/1981670862798100000 (pow.f64 x 5) (*.f64 -28509313176620146231/53625995218179384100000 (pow.f64 x 7)))))
(/.f64 70711/100000 x)
(-.f64 (*.f64 70711/100000 (/.f64 1 x)) (*.f64 1913510371/448100000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 70711/100000 x) (/.f64 1913510371/448100000 (pow.f64 x 3)))
(+.f64 (/.f64 70711/100000 x) (/.f64 -1913510371/448100000 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 5))) (*.f64 70711/100000 (/.f64 1 x))) (*.f64 1913510371/448100000 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 51781504149631/2007936100000 (pow.f64 x 5)) (-.f64 (/.f64 70711/100000 x) (/.f64 1913510371/448100000 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 70711/100000 x) (/.f64 51781504149631/2007936100000 (pow.f64 x 5))) (/.f64 -1913510371/448100000 (pow.f64 x 3)))
(+.f64 (/.f64 70711/100000 x) (+.f64 (/.f64 51781504149631/2007936100000 (pow.f64 x 5)) (/.f64 -1913510371/448100000 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 5))) (*.f64 70711/100000 (/.f64 1 x))) (+.f64 (*.f64 1401259283793164491/8997561664100000 (/.f64 1 (pow.f64 x 7))) (*.f64 1913510371/448100000 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 70711/100000 x) (/.f64 51781504149631/2007936100000 (pow.f64 x 5))) (+.f64 (/.f64 1913510371/448100000 (pow.f64 x 3)) (/.f64 1401259283793164491/8997561664100000 (pow.f64 x 7))))
(+.f64 (/.f64 51781504149631/2007936100000 (pow.f64 x 5)) (-.f64 (+.f64 (/.f64 70711/100000 x) (/.f64 -1913510371/448100000 (pow.f64 x 3))) (/.f64 1401259283793164491/8997561664100000 (pow.f64 x 7))))
(+.f64 (/.f64 51781504149631/2007936100000 (pow.f64 x 5)) (+.f64 (/.f64 -1913510371/448100000 (pow.f64 x 3)) (+.f64 (/.f64 70711/100000 x) (/.f64 -1401259283793164491/8997561664100000 (pow.f64 x 7)))))
(+.f64 (/.f64 -1913510371/448100000 (pow.f64 x 3)) (+.f64 (/.f64 51781504149631/2007936100000 (pow.f64 x 5)) (+.f64 (/.f64 70711/100000 x) (/.f64 -1401259283793164491/8997561664100000 (pow.f64 x 7)))))
(+.f64 (+.f64 (+.f64 (/.f64 70711/100000 x) (/.f64 51781504149631/2007936100000 (pow.f64 x 5))) (/.f64 -1913510371/448100000 (pow.f64 x 3))) (/.f64 -1401259283793164491/8997561664100000 (pow.f64 x 7)))
(/.f64 70711/100000 x)
(-.f64 (*.f64 70711/100000 (/.f64 1 x)) (*.f64 1913510371/448100000 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 70711/100000 x) (/.f64 1913510371/448100000 (pow.f64 x 3)))
(+.f64 (/.f64 70711/100000 x) (/.f64 -1913510371/448100000 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 5))) (*.f64 70711/100000 (/.f64 1 x))) (*.f64 1913510371/448100000 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 51781504149631/2007936100000 (pow.f64 x 5)) (-.f64 (/.f64 70711/100000 x) (/.f64 1913510371/448100000 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 70711/100000 x) (/.f64 51781504149631/2007936100000 (pow.f64 x 5))) (/.f64 -1913510371/448100000 (pow.f64 x 3)))
(+.f64 (/.f64 70711/100000 x) (+.f64 (/.f64 51781504149631/2007936100000 (pow.f64 x 5)) (/.f64 -1913510371/448100000 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 51781504149631/2007936100000 (/.f64 1 (pow.f64 x 5))) (*.f64 70711/100000 (/.f64 1 x))) (+.f64 (*.f64 1401259283793164491/8997561664100000 (/.f64 1 (pow.f64 x 7))) (*.f64 1913510371/448100000 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 70711/100000 x) (/.f64 51781504149631/2007936100000 (pow.f64 x 5))) (+.f64 (/.f64 1913510371/448100000 (pow.f64 x 3)) (/.f64 1401259283793164491/8997561664100000 (pow.f64 x 7))))
(+.f64 (/.f64 51781504149631/2007936100000 (pow.f64 x 5)) (-.f64 (+.f64 (/.f64 70711/100000 x) (/.f64 -1913510371/448100000 (pow.f64 x 3))) (/.f64 1401259283793164491/8997561664100000 (pow.f64 x 7))))
(+.f64 (/.f64 51781504149631/2007936100000 (pow.f64 x 5)) (+.f64 (/.f64 -1913510371/448100000 (pow.f64 x 3)) (+.f64 (/.f64 70711/100000 x) (/.f64 -1401259283793164491/8997561664100000 (pow.f64 x 7)))))
(+.f64 (/.f64 -1913510371/448100000 (pow.f64 x 3)) (+.f64 (/.f64 51781504149631/2007936100000 (pow.f64 x 5)) (+.f64 (/.f64 70711/100000 x) (/.f64 -1401259283793164491/8997561664100000 (pow.f64 x 7)))))
(+.f64 (+.f64 (+.f64 (/.f64 70711/100000 x) (/.f64 51781504149631/2007936100000 (pow.f64 x 5))) (/.f64 -1913510371/448100000 (pow.f64 x 3))) (/.f64 -1401259283793164491/8997561664100000 (pow.f64 x 7)))

localize69.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 100000/70711 (/.f64 (+.f64 x (/.f64 27061/4481 x)) (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x))))
0.3b
(/.f64 27061/4481 x)
0.6b
(/.f64 732297721/20079361 (*.f64 x x))
✓29.9b
(/.f64 (+.f64 x (/.f64 27061/4481 x)) (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)))
Compiler

Compiled 82 to 43 computations (47.6% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (+.f64 x (/.f64 27061/4481 x)) (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)))
0.0ms
x
@inf
(*.f64 100000/70711 (/.f64 (+.f64 x (/.f64 27061/4481 x)) (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x))))
0.0ms
x
@inf
(/.f64 (+.f64 x (/.f64 27061/4481 x)) (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)))
0.0ms
x
@-inf
(/.f64 (+.f64 x (/.f64 27061/4481 x)) (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)))
0.0ms
x
@0
(*.f64 100000/70711 (/.f64 (+.f64 x (/.f64 27061/4481 x)) (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x))))

rewrite82.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
643×log-prod_binary64
497×fma-def_binary64
275×fma-neg_binary64
254×log-div_binary64
243×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01247
128747
2420347
Stop Event
1×node limit
Counts
2 → 65
Calls
Call 1
Inputs
(/.f64 (+.f64 x (/.f64 27061/4481 x)) (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)))
(*.f64 100000/70711 (/.f64 (+.f64 x (/.f64 27061/4481 x)) (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x))))
Outputs
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simplify65.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
746×fma-def_binary64
646×cancel-sign-sub-inv_binary64
593×associate-/r*_binary64
438×associate-*l/_binary64
354×sub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
074420
1212396
2609396
31888396
44500396
Stop Event
1×node limit
Counts
89 → 94
Calls
Call 1
Inputs
(*.f64 4481/27061 x)
(+.f64 (*.f64 4481/27061 x) (*.f64 20079361/732297721 (pow.f64 x 3)))
(+.f64 (*.f64 4481/27061 x) (+.f64 (*.f64 89975616641/19816708627981 (pow.f64 x 5)) (*.f64 20079361/732297721 (pow.f64 x 3))))
(+.f64 (*.f64 4481/27061 x) (+.f64 (*.f64 89975616641/19816708627981 (pow.f64 x 5)) (+.f64 (*.f64 20079361/732297721 (pow.f64 x 3)) (*.f64 403180738168321/536259952181793841 (pow.f64 x 7)))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 27061/4481 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))
(neg.f64 (+.f64 (*.f64 732297721/20079361 (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 x) (*.f64 27061/4481 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (*.f64 732297721/20079361 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 19816708627981/89975616641 (/.f64 1 (pow.f64 x 7))) (+.f64 (/.f64 1 x) (*.f64 27061/4481 (/.f64 1 (pow.f64 x 3)))))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 27061/4481 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))
(neg.f64 (+.f64 (*.f64 732297721/20079361 (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 x) (*.f64 27061/4481 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (*.f64 732297721/20079361 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 19816708627981/89975616641 (/.f64 1 (pow.f64 x 7))) (+.f64 (/.f64 1 x) (*.f64 27061/4481 (/.f64 1 (pow.f64 x 3)))))))
(*.f64 448100000/1913510371 x)
(+.f64 (*.f64 2007936100000/51781504149631 (pow.f64 x 3)) (*.f64 448100000/1913510371 x))
(+.f64 (*.f64 2007936100000/51781504149631 (pow.f64 x 3)) (+.f64 (*.f64 8997561664100000/1401259283793164491 (pow.f64 x 5)) (*.f64 448100000/1913510371 x)))
(+.f64 (*.f64 2007936100000/51781504149631 (pow.f64 x 3)) (+.f64 (*.f64 40318073816832100000/37919477478726824290951 (pow.f64 x 7)) (+.f64 (*.f64 8997561664100000/1401259283793164491 (pow.f64 x 5)) (*.f64 448100000/1913510371 x))))
(/.f64 -100000/70711 x)
(neg.f64 (+.f64 (*.f64 2706100000/316855991 (/.f64 1 (pow.f64 x 3))) (*.f64 100000/70711 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 73229772100000/1419831695671 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 100000/70711 (/.f64 1 x)) (*.f64 2706100000/316855991 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (*.f64 73229772100000/1419831695671 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1981670862798100000/6362265828301751 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 100000/70711 (/.f64 1 x)) (*.f64 2706100000/316855991 (/.f64 1 (pow.f64 x 3)))))))
(/.f64 -100000/70711 x)
(neg.f64 (+.f64 (*.f64 2706100000/316855991 (/.f64 1 (pow.f64 x 3))) (*.f64 100000/70711 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 73229772100000/1419831695671 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 100000/70711 (/.f64 1 x)) (*.f64 2706100000/316855991 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (*.f64 73229772100000/1419831695671 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1981670862798100000/6362265828301751 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 100000/70711 (/.f64 1 x)) (*.f64 2706100000/316855991 (/.f64 1 (pow.f64 x 3)))))))
Outputs
(*.f64 4481/27061 x)
(+.f64 (*.f64 4481/27061 x) (*.f64 20079361/732297721 (pow.f64 x 3)))
(fma.f64 4481/27061 x (*.f64 20079361/732297721 (pow.f64 x 3)))
(fma.f64 20079361/732297721 (pow.f64 x 3) (*.f64 4481/27061 x))
(*.f64 x (fma.f64 20079361/732297721 (*.f64 x x) 4481/27061))
(*.f64 x (fma.f64 x (*.f64 x 20079361/732297721) 4481/27061))
(+.f64 (*.f64 4481/27061 x) (+.f64 (*.f64 89975616641/19816708627981 (pow.f64 x 5)) (*.f64 20079361/732297721 (pow.f64 x 3))))
(fma.f64 4481/27061 x (fma.f64 89975616641/19816708627981 (pow.f64 x 5) (*.f64 20079361/732297721 (pow.f64 x 3))))
(fma.f64 4481/27061 x (fma.f64 20079361/732297721 (pow.f64 x 3) (*.f64 89975616641/19816708627981 (pow.f64 x 5))))
(fma.f64 20079361/732297721 (pow.f64 x 3) (fma.f64 89975616641/19816708627981 (pow.f64 x 5) (*.f64 4481/27061 x)))
(fma.f64 x (fma.f64 20079361/732297721 (*.f64 x x) 4481/27061) (*.f64 89975616641/19816708627981 (pow.f64 x 5)))
(+.f64 (*.f64 4481/27061 x) (+.f64 (*.f64 89975616641/19816708627981 (pow.f64 x 5)) (+.f64 (*.f64 20079361/732297721 (pow.f64 x 3)) (*.f64 403180738168321/536259952181793841 (pow.f64 x 7)))))
(fma.f64 4481/27061 x (fma.f64 89975616641/19816708627981 (pow.f64 x 5) (fma.f64 20079361/732297721 (pow.f64 x 3) (*.f64 403180738168321/536259952181793841 (pow.f64 x 7)))))
(fma.f64 4481/27061 x (fma.f64 20079361/732297721 (pow.f64 x 3) (fma.f64 89975616641/19816708627981 (pow.f64 x 5) (*.f64 403180738168321/536259952181793841 (pow.f64 x 7)))))
(fma.f64 89975616641/19816708627981 (pow.f64 x 5) (fma.f64 x (fma.f64 20079361/732297721 (*.f64 x x) 4481/27061) (*.f64 403180738168321/536259952181793841 (pow.f64 x 7))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 27061/4481 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 27061/4481 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 -27061/4481 (pow.f64 x 3)) (/.f64 -1 x))
(neg.f64 (+.f64 (*.f64 732297721/20079361 (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 x) (*.f64 27061/4481 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (/.f64 732297721/20079361 (pow.f64 x 5)) (+.f64 (/.f64 27061/4481 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (/.f64 -732297721/20079361 (pow.f64 x 5)) (+.f64 (/.f64 -27061/4481 (pow.f64 x 3)) (/.f64 -1 x)))
(neg.f64 (+.f64 (*.f64 732297721/20079361 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 19816708627981/89975616641 (/.f64 1 (pow.f64 x 7))) (+.f64 (/.f64 1 x) (*.f64 27061/4481 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (/.f64 732297721/20079361 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 27061/4481 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 19816708627981/89975616641 (pow.f64 x 7)))))
(-.f64 (/.f64 -732297721/20079361 (pow.f64 x 5)) (+.f64 (/.f64 27061/4481 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 19816708627981/89975616641 (pow.f64 x 7)))))
(+.f64 (+.f64 (/.f64 -27061/4481 (pow.f64 x 3)) (/.f64 -1 x)) (-.f64 (/.f64 -19816708627981/89975616641 (pow.f64 x 7)) (/.f64 732297721/20079361 (pow.f64 x 5))))
(+.f64 (/.f64 -732297721/20079361 (pow.f64 x 5)) (+.f64 (/.f64 -27061/4481 (pow.f64 x 3)) (-.f64 (/.f64 -1 x) (/.f64 19816708627981/89975616641 (pow.f64 x 7)))))
(/.f64 -1 x)
(neg.f64 (+.f64 (*.f64 27061/4481 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 27061/4481 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 -27061/4481 (pow.f64 x 3)) (/.f64 -1 x))
(neg.f64 (+.f64 (*.f64 732297721/20079361 (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 x) (*.f64 27061/4481 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (/.f64 732297721/20079361 (pow.f64 x 5)) (+.f64 (/.f64 27061/4481 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (/.f64 -732297721/20079361 (pow.f64 x 5)) (+.f64 (/.f64 -27061/4481 (pow.f64 x 3)) (/.f64 -1 x)))
(neg.f64 (+.f64 (*.f64 732297721/20079361 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 19816708627981/89975616641 (/.f64 1 (pow.f64 x 7))) (+.f64 (/.f64 1 x) (*.f64 27061/4481 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (/.f64 732297721/20079361 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 27061/4481 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 19816708627981/89975616641 (pow.f64 x 7)))))
(-.f64 (/.f64 -732297721/20079361 (pow.f64 x 5)) (+.f64 (/.f64 27061/4481 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 19816708627981/89975616641 (pow.f64 x 7)))))
(+.f64 (+.f64 (/.f64 -27061/4481 (pow.f64 x 3)) (/.f64 -1 x)) (-.f64 (/.f64 -19816708627981/89975616641 (pow.f64 x 7)) (/.f64 732297721/20079361 (pow.f64 x 5))))
(+.f64 (/.f64 -732297721/20079361 (pow.f64 x 5)) (+.f64 (/.f64 -27061/4481 (pow.f64 x 3)) (-.f64 (/.f64 -1 x) (/.f64 19816708627981/89975616641 (pow.f64 x 7)))))
(*.f64 448100000/1913510371 x)
(*.f64 x 448100000/1913510371)
(+.f64 (*.f64 2007936100000/51781504149631 (pow.f64 x 3)) (*.f64 448100000/1913510371 x))
(fma.f64 2007936100000/51781504149631 (pow.f64 x 3) (*.f64 x 448100000/1913510371))
(fma.f64 x 448100000/1913510371 (*.f64 (pow.f64 x 3) 2007936100000/51781504149631))
(*.f64 x (fma.f64 x (*.f64 x 2007936100000/51781504149631) 448100000/1913510371))
(+.f64 (*.f64 2007936100000/51781504149631 (pow.f64 x 3)) (+.f64 (*.f64 8997561664100000/1401259283793164491 (pow.f64 x 5)) (*.f64 448100000/1913510371 x)))
(fma.f64 2007936100000/51781504149631 (pow.f64 x 3) (fma.f64 8997561664100000/1401259283793164491 (pow.f64 x 5) (*.f64 x 448100000/1913510371)))
(fma.f64 (pow.f64 x 3) 2007936100000/51781504149631 (fma.f64 x 448100000/1913510371 (*.f64 (pow.f64 x 5) 8997561664100000/1401259283793164491)))
(fma.f64 x 448100000/1913510371 (fma.f64 (pow.f64 x 3) 2007936100000/51781504149631 (*.f64 (pow.f64 x 5) 8997561664100000/1401259283793164491)))
(+.f64 (*.f64 2007936100000/51781504149631 (pow.f64 x 3)) (+.f64 (*.f64 40318073816832100000/37919477478726824290951 (pow.f64 x 7)) (+.f64 (*.f64 8997561664100000/1401259283793164491 (pow.f64 x 5)) (*.f64 448100000/1913510371 x))))
(fma.f64 2007936100000/51781504149631 (pow.f64 x 3) (fma.f64 40318073816832100000/37919477478726824290951 (pow.f64 x 7) (fma.f64 8997561664100000/1401259283793164491 (pow.f64 x 5) (*.f64 x 448100000/1913510371))))
(fma.f64 (pow.f64 x 3) 2007936100000/51781504149631 (fma.f64 (pow.f64 x 7) 40318073816832100000/37919477478726824290951 (fma.f64 x 448100000/1913510371 (*.f64 (pow.f64 x 5) 8997561664100000/1401259283793164491))))
(fma.f64 (pow.f64 x 3) 2007936100000/51781504149631 (fma.f64 x 448100000/1913510371 (fma.f64 (pow.f64 x 5) 8997561664100000/1401259283793164491 (*.f64 (pow.f64 x 7) 40318073816832100000/37919477478726824290951))))
(fma.f64 x 448100000/1913510371 (fma.f64 (pow.f64 x 3) 2007936100000/51781504149631 (fma.f64 (pow.f64 x 5) 8997561664100000/1401259283793164491 (*.f64 (pow.f64 x 7) 40318073816832100000/37919477478726824290951))))
(/.f64 -100000/70711 x)
(neg.f64 (+.f64 (*.f64 2706100000/316855991 (/.f64 1 (pow.f64 x 3))) (*.f64 100000/70711 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 2706100000/316855991 (pow.f64 x 3)) (/.f64 100000/70711 x)))
(+.f64 (/.f64 -2706100000/316855991 (pow.f64 x 3)) (/.f64 -100000/70711 x))
(-.f64 (/.f64 -2706100000/316855991 (pow.f64 x 3)) (/.f64 100000/70711 x))
(neg.f64 (+.f64 (*.f64 73229772100000/1419831695671 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 100000/70711 (/.f64 1 x)) (*.f64 2706100000/316855991 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (/.f64 73229772100000/1419831695671 (pow.f64 x 5)) (+.f64 (/.f64 2706100000/316855991 (pow.f64 x 3)) (/.f64 100000/70711 x))))
(+.f64 (/.f64 -73229772100000/1419831695671 (pow.f64 x 5)) (+.f64 (/.f64 -2706100000/316855991 (pow.f64 x 3)) (/.f64 -100000/70711 x)))
(+.f64 (/.f64 -2706100000/316855991 (pow.f64 x 3)) (+.f64 (/.f64 -100000/70711 x) (/.f64 -73229772100000/1419831695671 (pow.f64 x 5))))
(neg.f64 (+.f64 (*.f64 73229772100000/1419831695671 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1981670862798100000/6362265828301751 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 100000/70711 (/.f64 1 x)) (*.f64 2706100000/316855991 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 73229772100000/1419831695671 (pow.f64 x 5)) (/.f64 1981670862798100000/6362265828301751 (pow.f64 x 7))) (+.f64 (/.f64 2706100000/316855991 (pow.f64 x 3)) (/.f64 100000/70711 x))))
(-.f64 (/.f64 -73229772100000/1419831695671 (pow.f64 x 5)) (+.f64 (/.f64 2706100000/316855991 (pow.f64 x 3)) (+.f64 (/.f64 100000/70711 x) (/.f64 1981670862798100000/6362265828301751 (pow.f64 x 7)))))
(+.f64 (/.f64 -73229772100000/1419831695671 (pow.f64 x 5)) (+.f64 (/.f64 -2706100000/316855991 (pow.f64 x 3)) (+.f64 (/.f64 -100000/70711 x) (/.f64 -1981670862798100000/6362265828301751 (pow.f64 x 7)))))
(+.f64 (/.f64 -100000/70711 x) (+.f64 (/.f64 -73229772100000/1419831695671 (pow.f64 x 5)) (+.f64 (/.f64 -2706100000/316855991 (pow.f64 x 3)) (/.f64 -1981670862798100000/6362265828301751 (pow.f64 x 7)))))
(+.f64 (/.f64 -2706100000/316855991 (pow.f64 x 3)) (+.f64 (/.f64 -73229772100000/1419831695671 (pow.f64 x 5)) (+.f64 (/.f64 -100000/70711 x) (/.f64 -1981670862798100000/6362265828301751 (pow.f64 x 7)))))
(/.f64 -100000/70711 x)
(neg.f64 (+.f64 (*.f64 2706100000/316855991 (/.f64 1 (pow.f64 x 3))) (*.f64 100000/70711 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 2706100000/316855991 (pow.f64 x 3)) (/.f64 100000/70711 x)))
(+.f64 (/.f64 -2706100000/316855991 (pow.f64 x 3)) (/.f64 -100000/70711 x))
(-.f64 (/.f64 -2706100000/316855991 (pow.f64 x 3)) (/.f64 100000/70711 x))
(neg.f64 (+.f64 (*.f64 73229772100000/1419831695671 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 100000/70711 (/.f64 1 x)) (*.f64 2706100000/316855991 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (/.f64 73229772100000/1419831695671 (pow.f64 x 5)) (+.f64 (/.f64 2706100000/316855991 (pow.f64 x 3)) (/.f64 100000/70711 x))))
(+.f64 (/.f64 -73229772100000/1419831695671 (pow.f64 x 5)) (+.f64 (/.f64 -2706100000/316855991 (pow.f64 x 3)) (/.f64 -100000/70711 x)))
(+.f64 (/.f64 -2706100000/316855991 (pow.f64 x 3)) (+.f64 (/.f64 -100000/70711 x) (/.f64 -73229772100000/1419831695671 (pow.f64 x 5))))
(neg.f64 (+.f64 (*.f64 73229772100000/1419831695671 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1981670862798100000/6362265828301751 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 100000/70711 (/.f64 1 x)) (*.f64 2706100000/316855991 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 73229772100000/1419831695671 (pow.f64 x 5)) (/.f64 1981670862798100000/6362265828301751 (pow.f64 x 7))) (+.f64 (/.f64 2706100000/316855991 (pow.f64 x 3)) (/.f64 100000/70711 x))))
(-.f64 (/.f64 -73229772100000/1419831695671 (pow.f64 x 5)) (+.f64 (/.f64 2706100000/316855991 (pow.f64 x 3)) (+.f64 (/.f64 100000/70711 x) (/.f64 1981670862798100000/6362265828301751 (pow.f64 x 7)))))
(+.f64 (/.f64 -73229772100000/1419831695671 (pow.f64 x 5)) (+.f64 (/.f64 -2706100000/316855991 (pow.f64 x 3)) (+.f64 (/.f64 -100000/70711 x) (/.f64 -1981670862798100000/6362265828301751 (pow.f64 x 7)))))
(+.f64 (/.f64 -100000/70711 x) (+.f64 (/.f64 -73229772100000/1419831695671 (pow.f64 x 5)) (+.f64 (/.f64 -2706100000/316855991 (pow.f64 x 3)) (/.f64 -1981670862798100000/6362265828301751 (pow.f64 x 7)))))
(+.f64 (/.f64 -2706100000/316855991 (pow.f64 x 3)) (+.f64 (/.f64 -73229772100000/1419831695671 (pow.f64 x 5)) (+.f64 (/.f64 -100000/70711 x) (/.f64 -1981670862798100000/6362265828301751 (pow.f64 x 7)))))

eval572.0ms (6.6%)

Compiler

Compiled 15389 to 10853 computations (29.5% saved)

prune170.0ms (2%)

Pruning

18 alts after pruning (12 fresh and 6 done)

PrunedKeptTotal
New7057712
Fresh358
Picked101
Done369
Total71218730
Error
0.0b
Counts
730 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
47.7b
(*.f64 (/.f64 (*.f64 x x) 1) (/.f64 -70711/100000 (+.f64 x (/.f64 27061/4481 x))))
✓47.9b
(/.f64 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 27061/4481 x)))
✓31.6b
(*.f64 x -70711/100000)
48.3b
(*.f64 (/.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 1) (/.f64 70711/100000 x))
47.7b
(*.f64 (/.f64 1 (+.f64 x (/.f64 27061/4481 x))) (*.f64 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))
32.2b
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 2) (cbrt.f64 (*.f64 x -70711/100000)))
32.5b
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) x))
✓47.7b
(/.f64 (*.f64 x (*.f64 x -70711/100000)) (+.f64 x (/.f64 27061/4481 x)))
✓31.5b
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
0.1b
(fma.f64 x -70711/100000 (/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)))
✓26.4b
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
31.7b
(pow.f64 (/.f64 -100000/70711 x) -1)
31.8b
(*.f64 (*.f64 x -70711/100000) (*.f64 x (/.f64 1 (+.f64 x (/.f64 27061/4481 x)))))
32.0b
(*.f64 (cbrt.f64 -353558218835431/1000000000000000) x)
31.0b
16316775383/10000000000
47.8b
(*.f64 (*.f64 (*.f64 x x) 70711/100000) (/.f64 1 (neg.f64 (+.f64 x (/.f64 27061/4481 x)))))
0.1b
(fma.f64 (/.f64 (+.f64 (*.f64 x 27061/100000) 230753/100000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)) 70711/100000 (*.f64 x -70711/100000))
Compiler

Compiled 218 to 161 computations (26.1% saved)

regimes161.0ms (1.9%)

Counts
43 → 1
Calls
Call 1
Inputs
16316775383/10000000000
16316775383/10000000000
16316775383/10000000000
(*.f64 x -70711/100000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
(/.f64 (*.f64 x (*.f64 x -70711/100000)) (+.f64 x (/.f64 27061/4481 x)))
(*.f64 (/.f64 (*.f64 x x) 1) (/.f64 -70711/100000 (+.f64 x (/.f64 27061/4481 x))))
(*.f64 (/.f64 1 (+.f64 x (/.f64 27061/4481 x))) (*.f64 x (*.f64 x -70711/100000)))
(*.f64 (*.f64 x -70711/100000) (*.f64 x (/.f64 1 (+.f64 x (/.f64 27061/4481 x)))))
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) x))
(*.f64 (*.f64 (*.f64 x x) 70711/100000) (/.f64 1 (neg.f64 (+.f64 x (/.f64 27061/4481 x)))))
(*.f64 (/.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 1) (/.f64 70711/100000 x))
(/.f64 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 27061/4481 x)))
(*.f64 (/.f64 1 (+.f64 x (/.f64 27061/4481 x))) (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000))
(*.f64 (/.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 1) (/.f64 70711/100000 (+.f64 x (/.f64 27061/4481 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)
(pow.f64 (/.f64 -100000/70711 x) -1)
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 27061/4481 x) 2) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 27061/4481 x)))
(pow.f64 (*.f64 100000/70711 (/.f64 (+.f64 x (/.f64 27061/4481 x)) (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)))) -1)
(expm1.f64 (log1p.f64 (*.f64 x -70711/100000)))
(cbrt.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)))
(pow.f64 (sqrt.f64 (*.f64 x -70711/100000)) 2)
(pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 3)
(*.f64 70711/100000 (pow.f64 (sqrt.f64 (-.f64 (/.f64 27061/4481 x) x)) 2))
(fma.f64 x -70711/100000 (/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)))
(fma.f64 (/.f64 (+.f64 (*.f64 x 27061/100000) 230753/100000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)) 70711/100000 (*.f64 x -70711/100000))
(fma.f64 (/.f64 (+.f64 (*.f64 x 27061/100000) 230753/100000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)) 70711/100000 (*.f64 (neg.f64 x) 70711/100000))
(pow.f64 (sqrt.f64 (*.f64 x (cbrt.f64 -353558218835431/1000000000000000))) 2)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 2) (cbrt.f64 (*.f64 x -70711/100000)))
(*.f64 (pow.f64 (*.f64 x -70711/100000) 1/4) (*.f64 (pow.f64 (*.f64 x -70711/100000) 1/4) (sqrt.f64 (*.f64 x -70711/100000))))
(fma.f64 x -70711/100000 (/.f64 (fma.f64 x 1913510371/10000000000 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)))
(fma.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)) 70711/100000 (*.f64 (neg.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)))
(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))
(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))))
(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)
(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)
(/.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 70711/100000 (sqrt.f64 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x))) (sqrt.f64 (-.f64 (/.f64 (fma.f64 x 27061/100000 230753/100000) (fma.f64 x (fma.f64 x 4481/100000 99229/100000) 1)) x)))
(*.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)))))
Outputs
(fma.f64 (/.f64 (+.f64 (*.f64 x 27061/100000) 230753/100000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)) 70711/100000 (*.f64 x -70711/100000))
Calls

5 calls:

37.0ms
x
24.0ms
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
24.0ms
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
23.0ms
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
22.0ms
(-.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 663 to 484 computations (27% saved)

regimes97.0ms (1.1%)

Counts
28 → 1
Calls
Call 1
Inputs
16316775383/10000000000
16316775383/10000000000
16316775383/10000000000
(*.f64 x -70711/100000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
(/.f64 (*.f64 x (*.f64 x -70711/100000)) (+.f64 x (/.f64 27061/4481 x)))
(*.f64 (/.f64 (*.f64 x x) 1) (/.f64 -70711/100000 (+.f64 x (/.f64 27061/4481 x))))
(*.f64 (/.f64 1 (+.f64 x (/.f64 27061/4481 x))) (*.f64 x (*.f64 x -70711/100000)))
(*.f64 (*.f64 x -70711/100000) (*.f64 x (/.f64 1 (+.f64 x (/.f64 27061/4481 x)))))
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) x))
(*.f64 (*.f64 (*.f64 x x) 70711/100000) (/.f64 1 (neg.f64 (+.f64 x (/.f64 27061/4481 x)))))
(*.f64 (/.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 1) (/.f64 70711/100000 x))
(/.f64 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 27061/4481 x)))
(*.f64 (/.f64 1 (+.f64 x (/.f64 27061/4481 x))) (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000))
(*.f64 (/.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 1) (/.f64 70711/100000 (+.f64 x (/.f64 27061/4481 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)
(pow.f64 (/.f64 -100000/70711 x) -1)
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 27061/4481 x) 2) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 27061/4481 x)))
(pow.f64 (*.f64 100000/70711 (/.f64 (+.f64 x (/.f64 27061/4481 x)) (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)))) -1)
(expm1.f64 (log1p.f64 (*.f64 x -70711/100000)))
(cbrt.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)))
(pow.f64 (sqrt.f64 (*.f64 x -70711/100000)) 2)
(pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 3)
(*.f64 70711/100000 (pow.f64 (sqrt.f64 (-.f64 (/.f64 27061/4481 x) x)) 2))
(fma.f64 x -70711/100000 (/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)))
Outputs
(fma.f64 x -70711/100000 (/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)))
Calls

5 calls:

38.0ms
(-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
13.0ms
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))
9.0ms
(*.f64 70711/100000 (-.f64 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x))
9.0ms
(-.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 363 to 254 computations (30% saved)

regimes96.0ms (1.1%)

Counts
27 → 1
Calls
Call 1
Inputs
16316775383/10000000000
16316775383/10000000000
16316775383/10000000000
(*.f64 x -70711/100000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
(/.f64 (*.f64 x (*.f64 x -70711/100000)) (+.f64 x (/.f64 27061/4481 x)))
(*.f64 (/.f64 (*.f64 x x) 1) (/.f64 -70711/100000 (+.f64 x (/.f64 27061/4481 x))))
(*.f64 (/.f64 1 (+.f64 x (/.f64 27061/4481 x))) (*.f64 x (*.f64 x -70711/100000)))
(*.f64 (*.f64 x -70711/100000) (*.f64 x (/.f64 1 (+.f64 x (/.f64 27061/4481 x)))))
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) x))
(*.f64 (*.f64 (*.f64 x x) 70711/100000) (/.f64 1 (neg.f64 (+.f64 x (/.f64 27061/4481 x)))))
(*.f64 (/.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 1) (/.f64 70711/100000 x))
(/.f64 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 27061/4481 x)))
(*.f64 (/.f64 1 (+.f64 x (/.f64 27061/4481 x))) (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000))
(*.f64 (/.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 1) (/.f64 70711/100000 (+.f64 x (/.f64 27061/4481 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)
(pow.f64 (/.f64 -100000/70711 x) -1)
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 27061/4481 x) 2) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 27061/4481 x)))
(pow.f64 (*.f64 100000/70711 (/.f64 (+.f64 x (/.f64 27061/4481 x)) (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)))) -1)
(expm1.f64 (log1p.f64 (*.f64 x -70711/100000)))
(cbrt.f64 (*.f64 -353558218835431/1000000000000000 (pow.f64 x 3)))
(pow.f64 (sqrt.f64 (*.f64 x -70711/100000)) 2)
(pow.f64 (cbrt.f64 (*.f64 x -70711/100000)) 3)
(*.f64 70711/100000 (pow.f64 (sqrt.f64 (-.f64 (/.f64 27061/4481 x) x)) 2))
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:

16.0ms
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))
9.0ms
(-.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 (/.f64 (+.f64 230753/100000 (*.f64 x 27061/100000)) (+.f64 1 (*.f64 x (+.f64 99229/100000 (*.f64 x 4481/100000))))) x)
Compiler

Compiled 308 to 211 computations (31.5% saved)

regimes57.0ms (0.7%)

Counts
17 → 3
Calls
Call 1
Inputs
16316775383/10000000000
16316775383/10000000000
16316775383/10000000000
(*.f64 x -70711/100000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
(/.f64 (*.f64 x (*.f64 x -70711/100000)) (+.f64 x (/.f64 27061/4481 x)))
(*.f64 (/.f64 (*.f64 x x) 1) (/.f64 -70711/100000 (+.f64 x (/.f64 27061/4481 x))))
(*.f64 (/.f64 1 (+.f64 x (/.f64 27061/4481 x))) (*.f64 x (*.f64 x -70711/100000)))
(*.f64 (*.f64 x -70711/100000) (*.f64 x (/.f64 1 (+.f64 x (/.f64 27061/4481 x)))))
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) x))
(*.f64 (*.f64 (*.f64 x x) 70711/100000) (/.f64 1 (neg.f64 (+.f64 x (/.f64 27061/4481 x)))))
(*.f64 (/.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 1) (/.f64 70711/100000 x))
(/.f64 (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000) (+.f64 x (/.f64 27061/4481 x)))
(*.f64 (/.f64 1 (+.f64 x (/.f64 27061/4481 x))) (*.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 70711/100000))
(*.f64 (/.f64 (-.f64 (/.f64 732297721/20079361 (*.f64 x x)) (*.f64 x x)) 1) (/.f64 70711/100000 (+.f64 x (/.f64 27061/4481 x))))
Outputs
(*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) x))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 x -70711/100000)
Calls

1 calls:

52.0ms
x
Results
ErrorSegmentsBranch
0.7b3x
Compiler

Compiled 173 to 110 computations (36.4% saved)

bsearch68.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
22.0ms
0.0014684735685288471
7.13659387610207
46.0ms
-27.95234177957094
-1.9082242844737576e-26
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes23.0ms (0.3%)

Counts
11 → 3
Calls
Call 1
Inputs
16316775383/10000000000
16316775383/10000000000
16316775383/10000000000
(*.f64 x -70711/100000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
(/.f64 (*.f64 x (*.f64 x -70711/100000)) (+.f64 x (/.f64 27061/4481 x)))
(*.f64 (/.f64 (*.f64 x x) 1) (/.f64 -70711/100000 (+.f64 x (/.f64 27061/4481 x))))
(*.f64 (/.f64 1 (+.f64 x (/.f64 27061/4481 x))) (*.f64 x (*.f64 x -70711/100000)))
(*.f64 (*.f64 x -70711/100000) (*.f64 x (/.f64 1 (+.f64 x (/.f64 27061/4481 x)))))
Outputs
(*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x))
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(*.f64 x -70711/100000)
Calls

1 calls:

19.0ms
x
Results
ErrorSegmentsBranch
0.7b3x
Compiler

Compiled 76 to 54 computations (28.9% saved)

bsearch60.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
36.0ms
0.0014684735685288471
7.13659387610207
24.0ms
-27.95234177957094
-1.9082242844737576e-26
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes16.0ms (0.2%)

Counts
6 → 3
Calls
Call 1
Inputs
16316775383/10000000000
16316775383/10000000000
16316775383/10000000000
(*.f64 x -70711/100000)
(+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000)
(+.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:

14.0ms
x
Results
ErrorSegmentsBranch
0.7b3x
Compiler

Compiled 19 to 15 computations (21.1% saved)

bsearch126.0ms (1.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
76.0ms
0.0014684735685288471
7.13659387610207
50.0ms
-27.95234177957094
-1.9082242844737576e-26
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes28.0ms (0.3%)

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

1 calls:

26.0ms
x
Results
ErrorSegmentsBranch
0.8b3x
Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch115.0ms (1.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
26.0ms
0.0014684735685288471
7.13659387610207
89.0ms
-27.95234177957094
-1.9082242844737576e-26
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes5.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
3 → 1
Calls
Call 1
Inputs
16316775383/10000000000
16316775383/10000000000
16316775383/10000000000
Outputs
16316775383/10000000000
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
31.0b1x
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify58.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
10×+-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
054203
175203
281203
383203
484203
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(fma.f64 (/.f64 (+.f64 (*.f64 x 27061/100000) 230753/100000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)) 70711/100000 (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 (/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)))
(*.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 -7867884751413027/281474976710656) (*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) x)) (if (<=.f64 x 6772139024414657/4611686018427387904) (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) (*.f64 x -70711/100000)))
(if (<=.f64 x -7867884751413027/281474976710656) (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x)) (if (<=.f64 x 6772139024414657/4611686018427387904) (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) (*.f64 x -70711/100000)))
(if (<=.f64 x -7867884751413027/281474976710656) (*.f64 x -70711/100000) (if (<=.f64 x 6772139024414657/4611686018427387904) (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) (*.f64 x -70711/100000)))
(if (<=.f64 x -7867884751413027/281474976710656) (*.f64 x -70711/100000) (if (<=.f64 x 6772139024414657/4611686018427387904) 16316775383/10000000000 (*.f64 x -70711/100000)))
16316775383/10000000000
Outputs
(fma.f64 (/.f64 (+.f64 (*.f64 x 27061/100000) 230753/100000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)) 70711/100000 (*.f64 x -70711/100000))
(fma.f64 x -70711/100000 (/.f64 (+.f64 (*.f64 x 1913510371/10000000000) 16316775383/10000000000) (fma.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000) 1)))
(*.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 (*.f64 x 27061/100000) 230753/100000) (+.f64 1 (*.f64 x (+.f64 (*.f64 x 4481/100000) 99229/100000)))) x))
(if (<=.f64 x -7867884751413027/281474976710656) (*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) x)) (if (<=.f64 x 6772139024414657/4611686018427387904) (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) (*.f64 x -70711/100000)))
(if (<=.f64 x -7867884751413027/281474976710656) (*.f64 70711/100000 (-.f64 (+.f64 (/.f64 27061/4481 x) (/.f64 -1651231776/20079361 (*.f64 x x))) x)) (if (<=.f64 x 6772139024414657/4611686018427387904) (+.f64 16316775383/10000000000 (*.f64 x -2134856267379707/1000000000000000)) (*.f64 x -70711/100000)))
(if (<=.f64 x -7867884751413027/281474976710656) (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x)) (if (<=.f64 x 6772139024414657/4611686018427387904) (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) (*.f64 x -70711/100000)))
(if (<=.f64 x -7867884751413027/281474976710656) (*.f64 70711/100000 (-.f64 (/.f64 27061/4481 x) x)) (if (<=.f64 x 6772139024414657/4611686018427387904) (+.f64 16316775383/10000000000 (*.f64 x -2134856267379707/1000000000000000)) (*.f64 x -70711/100000)))
(if (<=.f64 x -7867884751413027/281474976710656) (*.f64 x -70711/100000) (if (<=.f64 x 6772139024414657/4611686018427387904) (+.f64 (*.f64 -2134856267379707/1000000000000000 x) 16316775383/10000000000) (*.f64 x -70711/100000)))
(if (<=.f64 x -7867884751413027/281474976710656) (*.f64 x -70711/100000) (if (<=.f64 x 6772139024414657/4611686018427387904) (+.f64 16316775383/10000000000 (*.f64 x -2134856267379707/1000000000000000)) (*.f64 x -70711/100000)))
(if (<=.f64 x -7867884751413027/281474976710656) (*.f64 x -70711/100000) (if (<=.f64 x 6772139024414657/4611686018427387904) 16316775383/10000000000 (*.f64 x -70711/100000)))
16316775383/10000000000
Compiler

Compiled 150 to 115 computations (23.3% saved)

soundness91.0ms (1%)

Algorithm
1×egg-herbie
Rules
767×distribute-neg-frac_binary64
743×fma-def_binary64
702×associate-*r*_binary64
417×times-frac_binary64
289×associate-/l/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
044303
1107281
2253279
3659273
41979270
56861270
Stop Event
1×node limit
Compiler

Compiled 8 to 6 computations (25% saved)

end94.0ms (1.1%)

Compiler

Compiled 143 to 108 computations (24.5% saved)

Profiling

Loading profile data...