Details

Time bar (total: 3.0s)

analyze0.0ms (0%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
Compiler

Compiled 53 to 38 computations (28.3% saved)

sample1.3s (43.1%)

Results
1.3s8256×body128valid

preprocess20.0ms (0.7%)

Algorithm
2×egg-herbie
Rules
164×associate-+l+_binary64
66×associate-+r+_binary64
47×+-commutative_binary64
1×swap-a-e
1×swap-a-d
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046143
1127143
2304143
3350143
055
155
Stop Event
1×unsound
1×saturated
Calls
Call 1
Inputs
0
1
2
3
4
Outputs
0
1
0
2
0
3
0
4
0
Call 2
Inputs
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) a) b)
(+.f64 (+.f64 (+.f64 (+.f64 e d) a) b) c)
(+.f64 (+.f64 (+.f64 (+.f64 e a) c) b) d)
(+.f64 (+.f64 (+.f64 (+.f64 a d) c) b) e)
(+.f64 (+.f64 (+.f64 (+.f64 e d) b) c) a)
(+.f64 (+.f64 (+.f64 (+.f64 e b) c) d) a)
(+.f64 (+.f64 (+.f64 (+.f64 b d) c) e) a)
(+.f64 (+.f64 (+.f64 (+.f64 e c) d) b) a)
(+.f64 (+.f64 (+.f64 (+.f64 c d) e) b) a)
(+.f64 (+.f64 (+.f64 (+.f64 d e) c) b) a)
Outputs
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
(+.f64 a (+.f64 (+.f64 e d) (+.f64 c b)))
(+.f64 e (+.f64 d (+.f64 a (+.f64 c b))))
(+.f64 e (+.f64 b (+.f64 d (+.f64 c a))))
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) a) b)
(+.f64 a (+.f64 (+.f64 e d) (+.f64 c b)))
(+.f64 e (+.f64 d (+.f64 a (+.f64 c b))))
(+.f64 e (+.f64 b (+.f64 d (+.f64 c a))))
(+.f64 (+.f64 (+.f64 (+.f64 e d) a) b) c)
(+.f64 a (+.f64 (+.f64 e d) (+.f64 c b)))
(+.f64 e (+.f64 d (+.f64 a (+.f64 c b))))
(+.f64 e (+.f64 b (+.f64 d (+.f64 c a))))
(+.f64 (+.f64 (+.f64 (+.f64 e a) c) b) d)
(+.f64 a (+.f64 (+.f64 e d) (+.f64 c b)))
(+.f64 e (+.f64 d (+.f64 a (+.f64 c b))))
(+.f64 e (+.f64 b (+.f64 d (+.f64 c a))))
(+.f64 (+.f64 (+.f64 (+.f64 a d) c) b) e)
(+.f64 a (+.f64 (+.f64 e d) (+.f64 c b)))
(+.f64 e (+.f64 d (+.f64 a (+.f64 c b))))
(+.f64 e (+.f64 b (+.f64 d (+.f64 c a))))
(+.f64 (+.f64 (+.f64 (+.f64 e d) b) c) a)
(+.f64 a (+.f64 (+.f64 e d) (+.f64 c b)))
(+.f64 e (+.f64 d (+.f64 a (+.f64 c b))))
(+.f64 e (+.f64 b (+.f64 d (+.f64 c a))))
(+.f64 (+.f64 (+.f64 (+.f64 e b) c) d) a)
(+.f64 a (+.f64 (+.f64 e d) (+.f64 c b)))
(+.f64 e (+.f64 d (+.f64 a (+.f64 c b))))
(+.f64 e (+.f64 b (+.f64 d (+.f64 c a))))
(+.f64 (+.f64 (+.f64 (+.f64 b d) c) e) a)
(+.f64 a (+.f64 (+.f64 e d) (+.f64 c b)))
(+.f64 e (+.f64 d (+.f64 a (+.f64 c b))))
(+.f64 e (+.f64 b (+.f64 d (+.f64 c a))))
(+.f64 (+.f64 (+.f64 (+.f64 e c) d) b) a)
(+.f64 a (+.f64 (+.f64 e d) (+.f64 c b)))
(+.f64 e (+.f64 d (+.f64 a (+.f64 c b))))
(+.f64 e (+.f64 b (+.f64 d (+.f64 c a))))
(+.f64 (+.f64 (+.f64 (+.f64 c d) e) b) a)
(+.f64 a (+.f64 (+.f64 e d) (+.f64 c b)))
(+.f64 e (+.f64 d (+.f64 a (+.f64 c b))))
(+.f64 e (+.f64 b (+.f64 d (+.f64 c a))))
(+.f64 (+.f64 (+.f64 (+.f64 d e) c) b) a)
(+.f64 a (+.f64 (+.f64 e d) (+.f64 c b)))
(+.f64 e (+.f64 d (+.f64 a (+.f64 c b))))
(+.f64 e (+.f64 b (+.f64 d (+.f64 c a))))
Symmetry

(sort a b c d e)

Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify7.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
125×associate-+l+_binary64
97×associate-+r+_binary64
51×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
12013
25913
318813
433913
533913
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
Outputs
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
(+.f64 (+.f64 e (+.f64 d c)) (+.f64 b a))
(+.f64 e (+.f64 (+.f64 d c) (+.f64 b a)))
(+.f64 (+.f64 e d) (+.f64 b (+.f64 c a)))
(+.f64 e (+.f64 c (+.f64 a (+.f64 d b))))

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
StatusErrorProgram
▶0.3b
(+.f64 e (+.f64 c (+.f64 a (+.f64 d b))))
0.4b
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
Compiler

Compiled 79 to 49 computations (38% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.2b
(+.f64 c (+.f64 a (+.f64 d b)))
✓0.2b
(+.f64 a (+.f64 d b))
✓0.3b
(+.f64 e (+.f64 c (+.f64 a (+.f64 d b))))

series11.0ms (0.4%)

Counts
3 → 81
Calls

36 calls:

TimeVariablePointExpression
0.0ms
e
@inf
(+.f64 e (+.f64 c (+.f64 a (+.f64 d b))))
0.0ms
e
@0
(+.f64 e (+.f64 c (+.f64 a (+.f64 d b))))
0.0ms
d
@inf
(+.f64 e (+.f64 c (+.f64 a (+.f64 d b))))
0.0ms
a
@inf
(+.f64 e (+.f64 c (+.f64 a (+.f64 d b))))
0.0ms
b
@inf
(+.f64 e (+.f64 c (+.f64 a (+.f64 d b))))

rewrite67.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
426×fma-neg_binary64
236×expm1-udef_binary64
236×log1p-udef_binary64
136×add-sqr-sqrt_binary64
135×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01030
124230
2399930
Stop Event
1×node limit
Counts
3 → 111
Calls
Call 1
Inputs
(+.f64 e (+.f64 c (+.f64 a (+.f64 d b))))
(+.f64 a (+.f64 d b))
(+.f64 c (+.f64 a (+.f64 d b)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 e (+.f64 a (+.f64 (+.f64 d b) c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 e e) (-.f64 e (+.f64 a (+.f64 (+.f64 d b) c)))) (/.f64 (pow.f64 (+.f64 a (+.f64 (+.f64 d b) c)) 2) (-.f64 e (+.f64 a (+.f64 (+.f64 d b) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 e (+.f64 a (+.f64 (+.f64 d b) c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 e (+.f64 a (+.f64 (+.f64 d b) c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 e (+.f64 a (+.f64 (+.f64 d b) c)))) (pow.f64 (cbrt.f64 (+.f64 e (+.f64 a (+.f64 (+.f64 d b) c)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 e (+.f64 a (+.f64 (+.f64 d b) c)))) 2) (cbrt.f64 (+.f64 e (+.f64 a (+.f64 (+.f64 d b) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 e (+.f64 a (+.f64 (+.f64 d b) c)))) (sqrt.f64 (+.f64 e (+.f64 a (+.f64 (+.f64 d b) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 e 3) (pow.f64 (+.f64 a (+.f64 (+.f64 d b) c)) 3)) (/.f64 1 (fma.f64 e e (*.f64 (+.f64 a (+.f64 (+.f64 d b) c)) (-.f64 (+.f64 a (+.f64 (+.f64 d b) c)) e)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 e e) (pow.f64 (+.f64 a (+.f64 (+.f64 d b) c)) 2)) (/.f64 1 (-.f64 e (+.f64 a (+.f64 (+.f64 d b) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 e e (*.f64 (+.f64 a (+.f64 (+.f64 d b) c)) (-.f64 (+.f64 a (+.f64 (+.f64 d b) c)) e))) (+.f64 (pow.f64 e 3) (pow.f64 (+.f64 a (+.f64 (+.f64 d b) c)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 e (+.f64 a (+.f64 (+.f64 d b) c))) (-.f64 (*.f64 e e) (pow.f64 (+.f64 a (+.f64 (+.f64 d b) c)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 e 3) (pow.f64 (+.f64 a (+.f64 (+.f64 d b) c)) 3)) (fma.f64 e e (*.f64 (+.f64 a (+.f64 (+.f64 d b) c)) (-.f64 (+.f64 a (+.f64 (+.f64 d b) c)) e))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 e 3) (pow.f64 (+.f64 a (+.f64 (+.f64 d b) c)) 3)) (+.f64 (pow.f64 (+.f64 a (+.f64 (+.f64 d b) c)) 2) (-.f64 (*.f64 e e) (*.f64 e (+.f64 a (+.f64 (+.f64 d b) c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 e e) (pow.f64 (+.f64 a (+.f64 (+.f64 d b) c)) 2)) (-.f64 e (+.f64 a (+.f64 (+.f64 d b) c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 e 3) (pow.f64 (+.f64 a (+.f64 (+.f64 d b) c)) 3))) (neg.f64 (fma.f64 e e (*.f64 (+.f64 a (+.f64 (+.f64 d b) c)) (-.f64 (+.f64 a (+.f64 (+.f64 d b) c)) e)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 e e) (pow.f64 (+.f64 a (+.f64 (+.f64 d b) c)) 2))) (neg.f64 (-.f64 e (+.f64 a (+.f64 (+.f64 d b) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 e c) 3) (pow.f64 (+.f64 a (+.f64 d b)) 3)) (+.f64 (*.f64 (+.f64 e c) (+.f64 e c)) (-.f64 (pow.f64 (+.f64 a (+.f64 d b)) 2) (*.f64 (+.f64 e c) (+.f64 a (+.f64 d b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 a (+.f64 (+.f64 d b) c)) 2) (*.f64 e e)) (-.f64 (+.f64 a (+.f64 (+.f64 d b) c)) e))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 e c) (+.f64 e c)) (pow.f64 (+.f64 a (+.f64 d b)) 2)) (-.f64 (+.f64 e c) (+.f64 a (+.f64 d b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 e (+.f64 a (+.f64 (+.f64 d b) c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 e (+.f64 a (+.f64 (+.f64 d b) c))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 e (+.f64 a (+.f64 (+.f64 d b) c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 e (+.f64 a (+.f64 (+.f64 d b) c)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 e (+.f64 a (+.f64 (+.f64 d b) c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 e (+.f64 a (+.f64 (+.f64 d b) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 e (+.f64 a (+.f64 (+.f64 d b) c))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 e (+.f64 a (+.f64 (+.f64 d b) c))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 e (+.f64 a (+.f64 (+.f64 d b) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 e (+.f64 a (+.f64 (+.f64 d b) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 e (+.f64 a (+.f64 (+.f64 d b) c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 a (+.f64 (+.f64 d b) c)) e)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 e e)) (cbrt.f64 e) (+.f64 a (+.f64 (+.f64 d b) c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a (+.f64 (+.f64 d b) c))) 2) (cbrt.f64 (+.f64 a (+.f64 (+.f64 d b) c))) e)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 e) (sqrt.f64 e) (+.f64 a (+.f64 (+.f64 d b) c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a (+.f64 (+.f64 d b) c))) (sqrt.f64 (+.f64 a (+.f64 (+.f64 d b) c))) e)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 e (+.f64 a (+.f64 (+.f64 d b) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 e (+.f64 a (+.f64 (+.f64 d b) c)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 a (+.f64 d b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 a a) (-.f64 a (+.f64 d b))) (/.f64 (pow.f64 (+.f64 d b) 2) (-.f64 a (+.f64 d b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a (+.f64 d b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 a (+.f64 d b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 a (+.f64 d b))) (cbrt.f64 (pow.f64 (+.f64 a (+.f64 d b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 a (+.f64 d b)) 2)) (cbrt.f64 (+.f64 a (+.f64 d b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a (+.f64 d b))) (sqrt.f64 (+.f64 a (+.f64 d b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 d b) 3)) (/.f64 1 (fma.f64 a a (*.f64 (+.f64 d b) (-.f64 (+.f64 d b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 d b) 2)) (/.f64 1 (-.f64 a (+.f64 d b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 a a (*.f64 (+.f64 d b) (-.f64 (+.f64 d b) a))) (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 d b) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 a (+.f64 d b)) (-.f64 (*.f64 a a) (pow.f64 (+.f64 d b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 d b) 3)) (fma.f64 a a (*.f64 (+.f64 d b) (-.f64 (+.f64 d b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 d b) 3)) (+.f64 (pow.f64 (+.f64 d b) 2) (-.f64 (*.f64 a a) (*.f64 a (+.f64 d b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 d b) 2)) (-.f64 a (+.f64 d b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 d b) 3))) (neg.f64 (fma.f64 a a (*.f64 (+.f64 d b) (-.f64 (+.f64 d b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 d b) 2))) (neg.f64 (-.f64 a (+.f64 d b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 a d) 3) (pow.f64 b 3)) (+.f64 (*.f64 (+.f64 a d) (+.f64 a d)) (-.f64 (*.f64 b b) (*.f64 (+.f64 a d) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 d b) 2) (*.f64 a a)) (-.f64 (+.f64 d b) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 a d) (+.f64 a d)) (*.f64 b b)) (-.f64 (+.f64 a d) b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 a (+.f64 d b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 a (+.f64 d b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 a (+.f64 d b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a (+.f64 d b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 a (+.f64 d b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 a (+.f64 d b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 a (+.f64 d b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 a (+.f64 d b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 a (+.f64 d b))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 a (+.f64 d b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a (+.f64 d b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 d b) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 d b)) 2) (cbrt.f64 (+.f64 d b)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 d b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 d b)) (sqrt.f64 (+.f64 d b)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 d b))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 a (+.f64 d b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 a (+.f64 d b))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 a (+.f64 (+.f64 d b) c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 c c) (-.f64 c (+.f64 a (+.f64 d b)))) (/.f64 (pow.f64 (+.f64 a (+.f64 d b)) 2) (-.f64 c (+.f64 a (+.f64 d b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a (+.f64 (+.f64 d b) c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 a (+.f64 (+.f64 d b) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 a (+.f64 (+.f64 d b) c))) (pow.f64 (cbrt.f64 (+.f64 a (+.f64 (+.f64 d b) c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 a (+.f64 (+.f64 d b) c))) 2) (cbrt.f64 (+.f64 a (+.f64 (+.f64 d b) c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a (+.f64 (+.f64 d b) c))) (sqrt.f64 (+.f64 a (+.f64 (+.f64 d b) c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 a (+.f64 d b)) 3)) (/.f64 1 (fma.f64 c c (*.f64 (+.f64 a (+.f64 d b)) (-.f64 (+.f64 a (+.f64 d b)) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 c c) (pow.f64 (+.f64 a (+.f64 d b)) 2)) (/.f64 1 (-.f64 c (+.f64 a (+.f64 d b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 c c (*.f64 (+.f64 a (+.f64 d b)) (-.f64 (+.f64 a (+.f64 d b)) c))) (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 a (+.f64 d b)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 c (+.f64 a (+.f64 d b))) (-.f64 (*.f64 c c) (pow.f64 (+.f64 a (+.f64 d b)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 a (+.f64 d b)) 3)) (fma.f64 c c (*.f64 (+.f64 a (+.f64 d b)) (-.f64 (+.f64 a (+.f64 d b)) c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 a (+.f64 d b)) 3)) (+.f64 (pow.f64 (+.f64 a (+.f64 d b)) 2) (-.f64 (*.f64 c c) (*.f64 c (+.f64 a (+.f64 d b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 c c) (pow.f64 (+.f64 a (+.f64 d b)) 2)) (-.f64 c (+.f64 a (+.f64 d b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 a (+.f64 d b)) 3))) (neg.f64 (fma.f64 c c (*.f64 (+.f64 a (+.f64 d b)) (-.f64 (+.f64 a (+.f64 d b)) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 c c) (pow.f64 (+.f64 a (+.f64 d b)) 2))) (neg.f64 (-.f64 c (+.f64 a (+.f64 d b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 c a) 3) (pow.f64 (+.f64 d b) 3)) (+.f64 (*.f64 (+.f64 c a) (+.f64 c a)) (-.f64 (pow.f64 (+.f64 d b) 2) (*.f64 (+.f64 c a) (+.f64 d b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 a (+.f64 d b)) 2) (*.f64 c c)) (-.f64 (+.f64 a (+.f64 d b)) c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 c a) (+.f64 c a)) (pow.f64 (+.f64 d b) 2)) (-.f64 (+.f64 c a) (+.f64 d b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 a (+.f64 (+.f64 d b) c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 a (+.f64 (+.f64 d b) c))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 a (+.f64 (+.f64 d b) c))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a (+.f64 (+.f64 d b) c)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 a (+.f64 (+.f64 d b) c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 a (+.f64 (+.f64 d b) c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 a (+.f64 (+.f64 d b) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 a (+.f64 (+.f64 d b) c)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 a (+.f64 (+.f64 d b) c))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 a (+.f64 (+.f64 d b) c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 c (+.f64 a (+.f64 d b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 a (+.f64 d b)) c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 a (+.f64 d b)) 2)) (cbrt.f64 (+.f64 a (+.f64 d b))) c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 c) (+.f64 a (+.f64 d b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a (+.f64 d b))) (sqrt.f64 (+.f64 a (+.f64 d b))) c)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 c) (sqrt.f64 c) (+.f64 a (+.f64 d b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 a (+.f64 (+.f64 d b) c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 a (+.f64 (+.f64 d b) c))) 1))))))

simplify21.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
125×associate-+l+_binary64
56×associate-+r+_binary64
37×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024699
157699
2139699
3253699
4262699
Stop Event
1×saturated
Counts
192 → 136
Calls
Call 1
Inputs
(+.f64 c (+.f64 a (+.f64 d b)))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
e
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
e
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 a (+.f64 d (+.f64 b e)))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
c
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
c
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 d (+.f64 b e)))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
a
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
a
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 b e)))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
d
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
d
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d e)))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
b
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
b
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 d b)
a
a
(+.f64 a b)
d
d
(+.f64 a d)
b
b
(+.f64 a (+.f64 d b))
c
c
(+.f64 c (+.f64 d b))
a
a
(+.f64 c (+.f64 a b))
d
d
(+.f64 c (+.f64 a d))
b
b
Outputs
(+.f64 c (+.f64 a (+.f64 d b)))
(+.f64 (+.f64 a (+.f64 b c)) d)
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
e
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
e
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
(+.f64 a (+.f64 d (+.f64 b e)))
(+.f64 b (+.f64 a (+.f64 d e)))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
c
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
c
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
(+.f64 c (+.f64 d (+.f64 b e)))
(+.f64 (+.f64 d b) (+.f64 c e))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
a
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
a
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
(+.f64 c (+.f64 a (+.f64 b e)))
(+.f64 (+.f64 c a) (+.f64 b e))
(+.f64 (+.f64 b e) (+.f64 c a))
(+.f64 b (+.f64 a (+.f64 c e)))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
d
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
d
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
(+.f64 c (+.f64 a (+.f64 d e)))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
b
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
b
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
(+.f64 d b)
a
a
(+.f64 a b)
d
d
(+.f64 a d)
b
b
(+.f64 a (+.f64 d b))
c
c
(+.f64 c (+.f64 d b))
a
a
(+.f64 c (+.f64 a b))
(+.f64 a (+.f64 b c))
(+.f64 a (+.f64 c b))
d
d
(+.f64 c (+.f64 a d))
(+.f64 d (+.f64 c a))
b
b

prune183.0ms (6.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1297136
Fresh101
Picked101
Done000
Total1317138
Error
0b
Counts
138 → 7
Alt Table
StatusErrorProgram
0.4b
(+.f64 c (+.f64 b (+.f64 a (+.f64 d e))))
0.4b
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
▶0.3b
(+.f64 e (+.f64 c (fma.f64 (sqrt.f64 (+.f64 d b)) (sqrt.f64 (+.f64 d b)) a)))
0.3b
(+.f64 e (+.f64 c (cbrt.f64 (pow.f64 (+.f64 a (+.f64 d b)) 3))))
0.4b
(+.f64 e (+.f64 c (pow.f64 (pow.f64 (+.f64 a (+.f64 d b)) 3) 1/3)))
0.4b
(fma.f64 (sqrt.f64 (+.f64 a (+.f64 (+.f64 d b) c))) (sqrt.f64 (+.f64 a (+.f64 (+.f64 d b) c))) e)
0.3b
(fma.f64 (sqrt.f64 e) (sqrt.f64 e) (+.f64 a (+.f64 (+.f64 d b) c)))
Compiler

Compiled 2423 to 766 computations (68.4% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(sqrt.f64 (+.f64 d b))
✓0.2b
(+.f64 c (fma.f64 (sqrt.f64 (+.f64 d b)) (sqrt.f64 (+.f64 d b)) a))
✓0.3b
(+.f64 e (+.f64 c (fma.f64 (sqrt.f64 (+.f64 d b)) (sqrt.f64 (+.f64 d b)) a)))
✓0.4b
(fma.f64 (sqrt.f64 (+.f64 d b)) (sqrt.f64 (+.f64 d b)) a)

series29.0ms (1%)

Counts
4 → 104
Calls

42 calls:

TimeVariablePointExpression
3.0ms
b
@0
(fma.f64 (sqrt.f64 (+.f64 d b)) (sqrt.f64 (+.f64 d b)) a)
3.0ms
d
@0
(fma.f64 (sqrt.f64 (+.f64 d b)) (sqrt.f64 (+.f64 d b)) a)
2.0ms
b
@0
(+.f64 e (+.f64 c (fma.f64 (sqrt.f64 (+.f64 d b)) (sqrt.f64 (+.f64 d b)) a)))
2.0ms
d
@inf
(fma.f64 (sqrt.f64 (+.f64 d b)) (sqrt.f64 (+.f64 d b)) a)
1.0ms
b
@-inf
(sqrt.f64 (+.f64 d b))

rewrite61.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
603×fma-def_binary64
306×fma-neg_binary64
233×expm1-udef_binary64
233×log1p-udef_binary64
135×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01136
124836
2368136
Stop Event
1×node limit
Counts
4 → 158
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 (+.f64 d b)) (sqrt.f64 (+.f64 d b)) a)
(+.f64 e (+.f64 c (fma.f64 (sqrt.f64 (+.f64 d b)) (sqrt.f64 (+.f64 d b)) a)))
(+.f64 c (fma.f64 (sqrt.f64 (+.f64 d b)) (sqrt.f64 (+.f64 d b)) a))
(sqrt.f64 (+.f64 d b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 d (+.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 b (+.f64 d a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 d b) a)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 a (+.f64 d b))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 d (+.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 d (+.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 d (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 d (+.f64 b a))) (pow.f64 (cbrt.f64 (+.f64 d (+.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 d (+.f64 b a))) 2) (cbrt.f64 (+.f64 d (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 d (+.f64 b a))) (sqrt.f64 (+.f64 d (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 d b) 3) (pow.f64 a 3)) (+.f64 (pow.f64 (+.f64 d b) 2) (-.f64 (*.f64 a a) (*.f64 (+.f64 d b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 d b) 2) (*.f64 a a)) (-.f64 (+.f64 d b) a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 d (+.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 d (+.f64 b a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 d (+.f64 b a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 d (+.f64 b a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 d (+.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 d (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 d (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 d (+.f64 b a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 d (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 d (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 d (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 d (+.f64 b a))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 e e) (-.f64 (-.f64 e c) (+.f64 d (+.f64 b a)))) (/.f64 (pow.f64 (+.f64 (+.f64 d b) (+.f64 a c)) 2) (-.f64 (-.f64 e c) (+.f64 d (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c))) 2) (cbrt.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c))) (sqrt.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 e 3) (pow.f64 (+.f64 (+.f64 d b) (+.f64 a c)) 3)) (/.f64 1 (fma.f64 e e (*.f64 (+.f64 (+.f64 d b) (+.f64 a c)) (-.f64 (+.f64 (+.f64 d b) (+.f64 a c)) e)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 e e) (pow.f64 (+.f64 (+.f64 d b) (+.f64 a c)) 2)) (/.f64 1 (-.f64 (-.f64 e c) (+.f64 d (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 e e (*.f64 (+.f64 (+.f64 d b) (+.f64 a c)) (-.f64 (+.f64 (+.f64 d b) (+.f64 a c)) e))) (+.f64 (pow.f64 e 3) (pow.f64 (+.f64 (+.f64 d b) (+.f64 a c)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (-.f64 e c) (+.f64 d (+.f64 b a))) (-.f64 (*.f64 e e) (pow.f64 (+.f64 (+.f64 d b) (+.f64 a c)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 e 3) (pow.f64 (+.f64 (+.f64 d b) (+.f64 a c)) 3)) (fma.f64 e e (*.f64 (+.f64 (+.f64 d b) (+.f64 a c)) (-.f64 (+.f64 (+.f64 d b) (+.f64 a c)) e))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 e 3) (pow.f64 (+.f64 (+.f64 d b) (+.f64 a c)) 3)) (+.f64 (pow.f64 (+.f64 (+.f64 d b) (+.f64 a c)) 2) (-.f64 (*.f64 e e) (*.f64 e (+.f64 (+.f64 d b) (+.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 e e) (pow.f64 (+.f64 (+.f64 d b) (+.f64 a c)) 2)) (-.f64 (-.f64 e c) (+.f64 d (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 e 3) (pow.f64 (+.f64 (+.f64 d b) (+.f64 a c)) 3))) (neg.f64 (fma.f64 e e (*.f64 (+.f64 (+.f64 d b) (+.f64 a c)) (-.f64 (+.f64 (+.f64 d b) (+.f64 a c)) e)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 e e) (pow.f64 (+.f64 (+.f64 d b) (+.f64 a c)) 2))) (neg.f64 (-.f64 (-.f64 e c) (+.f64 d (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 e c) 3) (pow.f64 (+.f64 d (+.f64 b a)) 3)) (fma.f64 (+.f64 e c) (+.f64 e c) (-.f64 (pow.f64 (+.f64 d (+.f64 b a)) 2) (*.f64 (+.f64 e c) (+.f64 d (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (+.f64 d b) (+.f64 a c)) 2) (*.f64 e e)) (-.f64 (+.f64 (+.f64 d b) (+.f64 a c)) e))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (+.f64 e c) (+.f64 e c) (neg.f64 (pow.f64 (+.f64 d (+.f64 b a)) 2))) (-.f64 (+.f64 e c) (+.f64 d (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 d (+.f64 b a)) 1 (+.f64 e c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 e 1 (+.f64 (+.f64 d b) (+.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 c 1 (+.f64 (+.f64 d (+.f64 b a)) e))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (+.f64 d b) (+.f64 a c)) 1 e)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 d (+.f64 b a)) (+.f64 e c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 e (+.f64 (+.f64 d b) (+.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 c (+.f64 (+.f64 d (+.f64 b a)) e))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (+.f64 d b) (+.f64 a c)) e)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 e c) (+.f64 d (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 e) (pow.f64 (cbrt.f64 e) 2) (+.f64 (+.f64 d b) (+.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 e) 2) (cbrt.f64 e) (+.f64 (+.f64 d b) (+.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 c) (cbrt.f64 (*.f64 c c)) (+.f64 (+.f64 d (+.f64 b a)) e))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 c c)) (cbrt.f64 c) (+.f64 (+.f64 d (+.f64 b a)) e))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (+.f64 d b) (+.f64 a c))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 d b) (+.f64 a c))) 2) e)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 d b) (+.f64 a c))) 2) (cbrt.f64 (+.f64 (+.f64 d b) (+.f64 a c))) e)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 d (+.f64 b a))) (pow.f64 (cbrt.f64 (+.f64 d (+.f64 b a))) 2) (+.f64 e c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 d (+.f64 b a))) 2) (cbrt.f64 (+.f64 d (+.f64 b a))) (+.f64 e c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 e) (sqrt.f64 e) (+.f64 (+.f64 d b) (+.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 c) (sqrt.f64 c) (+.f64 (+.f64 d (+.f64 b a)) e))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (+.f64 d b) (+.f64 a c))) (sqrt.f64 (+.f64 (+.f64 d b) (+.f64 a c))) e)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 d (+.f64 b a))) (sqrt.f64 (+.f64 d (+.f64 b a))) (+.f64 e c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 d (+.f64 b a)) 3)) (/.f64 1 (fma.f64 (+.f64 d (+.f64 b a)) (-.f64 (+.f64 d (+.f64 b a)) c) (*.f64 c c))) e)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 c c) (pow.f64 (+.f64 d (+.f64 b a)) 2)) (/.f64 1 (-.f64 c (+.f64 d (+.f64 b a)))) e)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 e c) 1 (+.f64 d (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 e c)) (cbrt.f64 (+.f64 e c))) (cbrt.f64 (+.f64 e c)) (+.f64 d (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 e c)) (sqrt.f64 (+.f64 e c)) (+.f64 d (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 d (+.f64 b a)) (+.f64 e c))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 d b) (+.f64 a c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 c c) (-.f64 c (+.f64 d (+.f64 b a)))) (/.f64 (pow.f64 (+.f64 d (+.f64 b a)) 2) (-.f64 c (+.f64 d (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 d b) (+.f64 a c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 d b) (+.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (+.f64 d b) (+.f64 a c))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 d b) (+.f64 a c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 d b) (+.f64 a c))) 2) (cbrt.f64 (+.f64 (+.f64 d b) (+.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 d b) (+.f64 a c))) (sqrt.f64 (+.f64 (+.f64 d b) (+.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 d (+.f64 b a)) 3)) (/.f64 1 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 d b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 d b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 d b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 d b))) (cbrt.f64 (+.f64 d b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 d b)) (cbrt.f64 (sqrt.f64 (+.f64 d b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 d b) 1/4) (pow.f64 (+.f64 d b) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 d b)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 d b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 d b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 d b)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 d b)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (+.f64 d b) (-.f64 d b))) (sqrt.f64 (-.f64 d b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 d 3) (pow.f64 b 3))) (sqrt.f64 (fma.f64 b (-.f64 b d) (*.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 d b) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 d b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 d b) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 d b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 d b) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 d b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 d b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 d b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 d b) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 d b))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 d) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 b) (sqrt.f64 d))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 d b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 d b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 d b)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 d b))) 1))))))

simplify54.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
930×fma-def_binary64
508×associate-*l*_binary64
243×associate-+r+_binary64
200×distribute-rgt-in_binary64
193×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01762722
15442664
219832121
Stop Event
1×node limit
Counts
262 → 222
Calls
Call 1
Inputs
(+.f64 a b)
(+.f64 a (+.f64 d b))
(+.f64 a (+.f64 d (+.f64 b (*.f64 (pow.f64 d 4) (+.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 b 3))))) (*.f64 5/64 (/.f64 1 (pow.f64 b 3))))))))
(+.f64 (*.f64 (pow.f64 d 6) (+.f64 (*.f64 1/256 (/.f64 1 (pow.f64 b 5))) (+.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 b 5)))) 2) (+.f64 (*.f64 1/8 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 b 3)))) (pow.f64 b 2))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 b 4))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 b 3)))) b))) b))))) (+.f64 (*.f64 1/8 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 b 3)))) (pow.f64 b 2))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 b 4))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 b 3)))) b))) b)))))) (+.f64 a (+.f64 d (+.f64 b (*.f64 (pow.f64 d 4) (+.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 b 3))))) (*.f64 5/64 (/.f64 1 (pow.f64 b 3)))))))))
(+.f64 a d)
(+.f64 a (+.f64 d b))
(+.f64 a (+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 d 3))))) (*.f64 5/64 (/.f64 1 (pow.f64 d 3)))) (pow.f64 b 4)) (+.f64 d b)))
(+.f64 a (+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 d 3))))) (*.f64 5/64 (/.f64 1 (pow.f64 d 3)))) (pow.f64 b 4)) (+.f64 d (+.f64 b (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 d 4))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 d 3)))) d))) d)) (+.f64 (pow.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 d 5)))) 2) (*.f64 1/8 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 d 3)))) (pow.f64 d 2)))))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 d 4))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 d 3)))) d))) d)) (+.f64 (*.f64 1/8 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 d 3)))) (pow.f64 d 2))) (*.f64 1/256 (/.f64 1 (pow.f64 d 5)))))) (pow.f64 b 6))))))
(+.f64 d b)
(+.f64 a (+.f64 d b))
(+.f64 a (+.f64 d b))
(+.f64 a (+.f64 d b))
a
(+.f64 a (+.f64 d b))
(+.f64 a (+.f64 d b))
(+.f64 a (+.f64 d b))
a
(+.f64 a (+.f64 d b))
(+.f64 a (+.f64 d b))
(+.f64 a (+.f64 d b))
(+.f64 c (+.f64 a (+.f64 d b)))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
e
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
e
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 a (+.f64 d (+.f64 b e)))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
c
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
c
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 b e)))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b (+.f64 e (*.f64 (pow.f64 d 4) (+.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 b 3))))) (*.f64 5/64 (/.f64 1 (pow.f64 b 3))))))))))
(+.f64 c (+.f64 (*.f64 (pow.f64 d 6) (+.f64 (*.f64 1/256 (/.f64 1 (pow.f64 b 5))) (+.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 b 5)))) 2) (+.f64 (*.f64 1/8 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 b 3)))) (pow.f64 b 2))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 b 4))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 b 3)))) b))) b))))) (+.f64 (*.f64 1/8 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 b 3)))) (pow.f64 b 2))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 b 4))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 b 3)))) b))) b)))))) (+.f64 a (+.f64 d (+.f64 b (+.f64 e (*.f64 (pow.f64 d 4) (+.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 b 3))))) (*.f64 5/64 (/.f64 1 (pow.f64 b 3)))))))))))
(+.f64 c (+.f64 a (+.f64 d e)))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 d 3))))) (*.f64 5/64 (/.f64 1 (pow.f64 d 3)))) (pow.f64 b 4)) (+.f64 d (+.f64 b e)))))
(+.f64 c (+.f64 a (+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 d 3))))) (*.f64 5/64 (/.f64 1 (pow.f64 d 3)))) (pow.f64 b 4)) (+.f64 d (+.f64 b (+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 d 4))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 d 3)))) d))) d)) (+.f64 (pow.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 d 5)))) 2) (*.f64 1/8 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 d 3)))) (pow.f64 d 2)))))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 d 4))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 d 3)))) d))) d)) (+.f64 (*.f64 1/8 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 d 3)))) (pow.f64 d 2))) (*.f64 1/256 (/.f64 1 (pow.f64 d 5)))))) (pow.f64 b 6)) e))))))
(+.f64 c (+.f64 d (+.f64 b e)))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
a
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
a
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 a (+.f64 d b))
(+.f64 c (+.f64 a (+.f64 d b)))
(+.f64 c (+.f64 a (+.f64 d b)))
(+.f64 c (+.f64 a (+.f64 d b)))
c
(+.f64 c (+.f64 a (+.f64 d b)))
(+.f64 c (+.f64 a (+.f64 d b)))
(+.f64 c (+.f64 a (+.f64 d b)))
c
(+.f64 c (+.f64 a (+.f64 d b)))
(+.f64 c (+.f64 a (+.f64 d b)))
(+.f64 c (+.f64 a (+.f64 d b)))
(+.f64 c (+.f64 a b))
(+.f64 c (+.f64 a (+.f64 d b)))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b (*.f64 (pow.f64 d 4) (+.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 b 3))))) (*.f64 5/64 (/.f64 1 (pow.f64 b 3)))))))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/8 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 b 3)))) (pow.f64 b 2))) (+.f64 (pow.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 b 5)))) 2) (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 b 4))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 b 3)))) b))) b))))) (+.f64 (*.f64 1/8 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 b 3)))) (pow.f64 b 2))) (+.f64 (*.f64 1/256 (/.f64 1 (pow.f64 b 5))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 b 4))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 b 3)))) b))) b))))) (pow.f64 d 6)) (+.f64 b (*.f64 (pow.f64 d 4) (+.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 b 3))))) (*.f64 5/64 (/.f64 1 (pow.f64 b 3))))))))))
(+.f64 c (+.f64 a d))
(+.f64 c (+.f64 a (+.f64 d b)))
(+.f64 c (+.f64 a (+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 d 3))))) (*.f64 5/64 (/.f64 1 (pow.f64 d 3)))) (pow.f64 b 4)) (+.f64 d b))))
(+.f64 c (+.f64 a (+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 d 3))))) (*.f64 5/64 (/.f64 1 (pow.f64 d 3)))) (pow.f64 b 4)) (+.f64 d (+.f64 b (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 d 4))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 d 3)))) d))) d)) (+.f64 (pow.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 d 5)))) 2) (*.f64 1/8 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 d 3)))) (pow.f64 d 2)))))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 d 4))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 d 3)))) d))) d)) (+.f64 (*.f64 1/8 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 d 3)))) (pow.f64 d 2))) (*.f64 1/256 (/.f64 1 (pow.f64 d 5)))))) (pow.f64 b 6)))))))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 a (+.f64 d b)))
(+.f64 c (+.f64 a (+.f64 d b)))
(+.f64 c (+.f64 a (+.f64 d b)))
a
(+.f64 c (+.f64 a (+.f64 d b)))
(+.f64 c (+.f64 a (+.f64 d b)))
(+.f64 c (+.f64 a (+.f64 d b)))
a
(+.f64 c (+.f64 a (+.f64 d b)))
(+.f64 c (+.f64 a (+.f64 d b)))
(+.f64 c (+.f64 a (+.f64 d b)))
(sqrt.f64 b)
(+.f64 (*.f64 1/2 (*.f64 d (sqrt.f64 (/.f64 1 b)))) (sqrt.f64 b))
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 d 2) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (*.f64 1/2 (*.f64 d (sqrt.f64 (/.f64 1 b)))) (sqrt.f64 b)))
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 d 2) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 d 3) (sqrt.f64 (/.f64 1 (pow.f64 b 5))))) (+.f64 (*.f64 1/2 (*.f64 d (sqrt.f64 (/.f64 1 b)))) (sqrt.f64 b))))
(sqrt.f64 d)
(+.f64 (sqrt.f64 d) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 d)) b)))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 d 3))) (pow.f64 b 2))) (+.f64 (sqrt.f64 d) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 d)) b))))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 d 3))) (pow.f64 b 2))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 d 5))) (pow.f64 b 3))) (+.f64 (sqrt.f64 d) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 d)) b)))))
Outputs
(+.f64 a b)
(+.f64 a (+.f64 d b))
(+.f64 a (+.f64 b d))
(+.f64 a (+.f64 d (+.f64 b (*.f64 (pow.f64 d 4) (+.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 b 3))))) (*.f64 5/64 (/.f64 1 (pow.f64 b 3))))))))
(+.f64 a (+.f64 d (+.f64 b (*.f64 (pow.f64 d 4) (fma.f64 -1 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (/.f64 1/16 (pow.f64 b 3))) (/.f64 5/64 (pow.f64 b 3)))))))
(+.f64 (fma.f64 (pow.f64 d 4) (-.f64 (/.f64 5/64 (pow.f64 b 3)) (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (/.f64 1/16 (pow.f64 b 3)))) b) (+.f64 a d))
(+.f64 a (+.f64 b (fma.f64 (pow.f64 d 4) (+.f64 (*.f64 (/.f64 1 (pow.f64 b 3)) -1/64) (*.f64 (/.f64 1 (pow.f64 b 3)) 1/64)) d)))
(+.f64 (*.f64 (pow.f64 d 6) (+.f64 (*.f64 1/256 (/.f64 1 (pow.f64 b 5))) (+.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 b 5)))) 2) (+.f64 (*.f64 1/8 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 b 3)))) (pow.f64 b 2))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 b 4))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 b 3)))) b))) b))))) (+.f64 (*.f64 1/8 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 b 3)))) (pow.f64 b 2))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 b 4))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 b 3)))) b))) b)))))) (+.f64 a (+.f64 d (+.f64 b (*.f64 (pow.f64 d 4) (+.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 b 3))))) (*.f64 5/64 (/.f64 1 (pow.f64 b 3)))))))))
(fma.f64 (pow.f64 d 6) (+.f64 (/.f64 1/256 (pow.f64 b 5)) (fma.f64 -1 (+.f64 (pow.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 b 5)))) 2) (fma.f64 1/8 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (/.f64 1/16 (pow.f64 b 3))) (*.f64 b b)) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 b 4)) (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (/.f64 1/16 (pow.f64 b 3))) b))) b)))) (fma.f64 1/8 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (/.f64 1/16 (pow.f64 b 3))) (*.f64 b b)) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 b 4)) (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (/.f64 1/16 (pow.f64 b 3))) b))) b))))) (+.f64 a (+.f64 d (+.f64 b (*.f64 (pow.f64 d 4) (fma.f64 -1 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (/.f64 1/16 (pow.f64 b 3))) (/.f64 5/64 (pow.f64 b 3))))))))
(+.f64 (+.f64 d (fma.f64 (pow.f64 d 4) (-.f64 (/.f64 5/64 (pow.f64 b 3)) (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (/.f64 1/16 (pow.f64 b 3)))) b)) (fma.f64 (pow.f64 d 6) (-.f64 (fma.f64 1/8 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (/.f64 1/16 (pow.f64 b 3))) (*.f64 b b)) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 1/64 (pow.f64 b 4)) (/.f64 -1/2 (/.f64 b (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (/.f64 1/16 (pow.f64 b 3)))))) b) (/.f64 1/256 (pow.f64 b 5)))) (fma.f64 1/8 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (/.f64 1/16 (pow.f64 b 3))) (*.f64 b b)) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 1/64 (pow.f64 b 4)) (/.f64 -1/2 (/.f64 b (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (/.f64 1/16 (pow.f64 b 3)))))) b) (pow.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 b 5)))) 2)))) a))
(+.f64 a (fma.f64 (pow.f64 d 6) (+.f64 (/.f64 1/256 (pow.f64 b 5)) (fma.f64 -1 (/.f64 1/256 (pow.f64 b 5)) (*.f64 0 (fma.f64 1/8 (/.f64 (fma.f64 (/.f64 1 (pow.f64 b 3)) 1/64 (/.f64 1/16 (pow.f64 b 3))) (*.f64 b b)) (/.f64 (+.f64 (/.f64 1/128 (pow.f64 b 4)) (*.f64 (/.f64 (fma.f64 (/.f64 1 (pow.f64 b 3)) 1/64 (/.f64 1/16 (pow.f64 b 3))) b) 1/4)) b))))) (+.f64 b (fma.f64 (pow.f64 d 4) (+.f64 (*.f64 (/.f64 1 (pow.f64 b 3)) -1/64) (*.f64 (/.f64 1 (pow.f64 b 3)) 1/64)) d))))
(+.f64 a d)
(+.f64 a (+.f64 d b))
(+.f64 a (+.f64 b d))
(+.f64 a (+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 d 3))))) (*.f64 5/64 (/.f64 1 (pow.f64 d 3)))) (pow.f64 b 4)) (+.f64 d b)))
(+.f64 a (fma.f64 (fma.f64 -1 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (/.f64 1/16 (pow.f64 d 3))) (/.f64 5/64 (pow.f64 d 3))) (pow.f64 b 4) (+.f64 b d)))
(+.f64 a (fma.f64 (pow.f64 b 4) (-.f64 (/.f64 5/64 (pow.f64 d 3)) (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (/.f64 1/16 (pow.f64 d 3)))) (+.f64 b d)))
(+.f64 a (fma.f64 (pow.f64 b 4) (+.f64 (*.f64 1/64 (/.f64 -1 (pow.f64 d 3))) (*.f64 1/64 (/.f64 1 (pow.f64 d 3)))) (+.f64 b d)))
(+.f64 a (+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 d 3))))) (*.f64 5/64 (/.f64 1 (pow.f64 d 3)))) (pow.f64 b 4)) (+.f64 d (+.f64 b (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 d 4))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 d 3)))) d))) d)) (+.f64 (pow.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 d 5)))) 2) (*.f64 1/8 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 d 3)))) (pow.f64 d 2)))))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 d 4))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 d 3)))) d))) d)) (+.f64 (*.f64 1/8 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 d 3)))) (pow.f64 d 2))) (*.f64 1/256 (/.f64 1 (pow.f64 d 5)))))) (pow.f64 b 6))))))
(+.f64 a (fma.f64 (fma.f64 -1 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (/.f64 1/16 (pow.f64 d 3))) (/.f64 5/64 (pow.f64 d 3))) (pow.f64 b 4) (+.f64 d (+.f64 b (*.f64 (fma.f64 -1 (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 d 4)) (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (/.f64 1/16 (pow.f64 d 3))) d))) d) (+.f64 (pow.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 d 5)))) 2) (*.f64 1/8 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (/.f64 1/16 (pow.f64 d 3))) (*.f64 d d))))) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 d 4)) (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (/.f64 1/16 (pow.f64 d 3))) d))) d) (fma.f64 1/8 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (/.f64 1/16 (pow.f64 d 3))) (*.f64 d d)) (/.f64 1/256 (pow.f64 d 5))))) (pow.f64 b 6))))))
(+.f64 a (+.f64 (fma.f64 (-.f64 (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 d 4)) (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (/.f64 1/16 (pow.f64 d 3))) d))) d) (fma.f64 1/8 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (/.f64 1/16 (pow.f64 d 3))) (*.f64 d d)) (/.f64 1/256 (pow.f64 d 5)))) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 d 4)) (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (/.f64 1/16 (pow.f64 d 3))) d))) d) (fma.f64 1/8 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (/.f64 1/16 (pow.f64 d 3))) (*.f64 d d)) (pow.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 d 5)))) 2)))) (pow.f64 b 6) b) (fma.f64 (pow.f64 b 4) (-.f64 (/.f64 5/64 (pow.f64 d 3)) (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (/.f64 1/16 (pow.f64 d 3)))) d)))
(+.f64 a (fma.f64 (pow.f64 b 4) (+.f64 (*.f64 1/64 (/.f64 -1 (pow.f64 d 3))) (*.f64 1/64 (/.f64 1 (pow.f64 d 3)))) (fma.f64 (-.f64 (fma.f64 1/8 (/.f64 (fma.f64 1/64 (/.f64 1 (pow.f64 d 3)) (/.f64 1/16 (pow.f64 d 3))) (*.f64 d d)) (fma.f64 1/2 (/.f64 (fma.f64 1/2 (/.f64 (fma.f64 1/64 (/.f64 1 (pow.f64 d 3)) (/.f64 1/16 (pow.f64 d 3))) d) (/.f64 1/64 (pow.f64 d 4))) d) (/.f64 1/256 (pow.f64 d 5)))) (fma.f64 1/8 (/.f64 (fma.f64 1/64 (/.f64 1 (pow.f64 d 3)) (/.f64 1/16 (pow.f64 d 3))) (*.f64 d d)) (fma.f64 1/2 (/.f64 (fma.f64 1/2 (/.f64 (fma.f64 1/64 (/.f64 1 (pow.f64 d 3)) (/.f64 1/16 (pow.f64 d 3))) d) (/.f64 1/64 (pow.f64 d 4))) d) (/.f64 1/256 (pow.f64 d 5))))) (pow.f64 b 6) (+.f64 b d))))
(+.f64 d b)
(+.f64 b d)
(+.f64 a (+.f64 d b))
(+.f64 a (+.f64 b d))
(+.f64 a (+.f64 d b))
(+.f64 a (+.f64 b d))
(+.f64 a (+.f64 d b))
(+.f64 a (+.f64 b d))
a
(+.f64 a (+.f64 d b))
(+.f64 a (+.f64 b d))
(+.f64 a (+.f64 d b))
(+.f64 a (+.f64 b d))
(+.f64 a (+.f64 d b))
(+.f64 a (+.f64 b d))
a
(+.f64 a (+.f64 d b))
(+.f64 a (+.f64 b d))
(+.f64 a (+.f64 d b))
(+.f64 a (+.f64 b d))
(+.f64 a (+.f64 d b))
(+.f64 a (+.f64 b d))
(+.f64 c (+.f64 a (+.f64 d b)))
(+.f64 (+.f64 c a) (+.f64 b d))
(+.f64 a (+.f64 b (+.f64 d c)))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 a (+.f64 d (+.f64 (+.f64 b e) c)))
(+.f64 a (+.f64 c (+.f64 b (+.f64 d e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 a (+.f64 d (+.f64 (+.f64 b e) c)))
(+.f64 a (+.f64 c (+.f64 b (+.f64 d e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 a (+.f64 d (+.f64 (+.f64 b e) c)))
(+.f64 a (+.f64 c (+.f64 b (+.f64 d e))))
e
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 a (+.f64 d (+.f64 (+.f64 b e) c)))
(+.f64 a (+.f64 c (+.f64 b (+.f64 d e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 a (+.f64 d (+.f64 (+.f64 b e) c)))
(+.f64 a (+.f64 c (+.f64 b (+.f64 d e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 a (+.f64 d (+.f64 (+.f64 b e) c)))
(+.f64 a (+.f64 c (+.f64 b (+.f64 d e))))
e
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 a (+.f64 d (+.f64 (+.f64 b e) c)))
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a
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a
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c
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c
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(+.f64 (+.f64 (fma.f64 (pow.f64 d 4) (-.f64 (/.f64 5/64 (pow.f64 b 3)) (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (/.f64 1/16 (pow.f64 b 3)))) b) (+.f64 a d)) c)
(+.f64 (+.f64 b (fma.f64 (pow.f64 d 4) (+.f64 (*.f64 (/.f64 1 (pow.f64 b 3)) -1/64) (*.f64 (/.f64 1 (pow.f64 b 3)) 1/64)) d)) (+.f64 a c))
(+.f64 c (+.f64 a (+.f64 d (+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/8 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 b 3)))) (pow.f64 b 2))) (+.f64 (pow.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 b 5)))) 2) (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 b 4))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 b 3)))) b))) b))))) (+.f64 (*.f64 1/8 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 b 3)))) (pow.f64 b 2))) (+.f64 (*.f64 1/256 (/.f64 1 (pow.f64 b 5))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 b 4))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 b 3)))) b))) b))))) (pow.f64 d 6)) (+.f64 b (*.f64 (pow.f64 d 4) (+.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 b 3))))) (*.f64 5/64 (/.f64 1 (pow.f64 b 3))))))))))
(+.f64 (+.f64 c a) (+.f64 d (fma.f64 (fma.f64 -1 (fma.f64 1/8 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (/.f64 1/16 (pow.f64 b 3))) (*.f64 b b)) (+.f64 (pow.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 b 5)))) 2) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 b 4)) (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (/.f64 1/16 (pow.f64 b 3))) b))) b)))) (fma.f64 1/8 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (/.f64 1/16 (pow.f64 b 3))) (*.f64 b b)) (+.f64 (/.f64 1/256 (pow.f64 b 5)) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 b 4)) (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (/.f64 1/16 (pow.f64 b 3))) b))) b))))) (pow.f64 d 6) (+.f64 b (*.f64 (pow.f64 d 4) (fma.f64 -1 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (/.f64 1/16 (pow.f64 b 3))) (/.f64 5/64 (pow.f64 b 3))))))))
(+.f64 (+.f64 a d) (+.f64 (fma.f64 (pow.f64 d 6) (-.f64 (fma.f64 1/8 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (/.f64 1/16 (pow.f64 b 3))) (*.f64 b b)) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 1/64 (pow.f64 b 4)) (/.f64 -1/2 (/.f64 b (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (/.f64 1/16 (pow.f64 b 3)))))) b) (/.f64 1/256 (pow.f64 b 5)))) (fma.f64 1/8 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (/.f64 1/16 (pow.f64 b 3))) (*.f64 b b)) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 1/64 (pow.f64 b 4)) (/.f64 -1/2 (/.f64 b (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (/.f64 1/16 (pow.f64 b 3)))))) b) (pow.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 b 5)))) 2)))) (fma.f64 (pow.f64 d 4) (-.f64 (/.f64 5/64 (pow.f64 b 3)) (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))) 2) (/.f64 1/16 (pow.f64 b 3)))) b)) c))
(+.f64 a (+.f64 (fma.f64 (pow.f64 d 6) (+.f64 (/.f64 1/256 (pow.f64 b 5)) (fma.f64 -1 (/.f64 1/256 (pow.f64 b 5)) (*.f64 0 (fma.f64 1/8 (/.f64 (fma.f64 (/.f64 1 (pow.f64 b 3)) 1/64 (/.f64 1/16 (pow.f64 b 3))) (*.f64 b b)) (/.f64 (+.f64 (/.f64 1/128 (pow.f64 b 4)) (*.f64 (/.f64 (fma.f64 (/.f64 1 (pow.f64 b 3)) 1/64 (/.f64 1/16 (pow.f64 b 3))) b) 1/4)) b))))) (+.f64 b (fma.f64 (pow.f64 d 4) (+.f64 (*.f64 (/.f64 1 (pow.f64 b 3)) -1/64) (*.f64 (/.f64 1 (pow.f64 b 3)) 1/64)) d))) c))
(+.f64 c (+.f64 a d))
(+.f64 (+.f64 a d) c)
(+.f64 a (+.f64 d c))
(+.f64 c (+.f64 a (+.f64 d b)))
(+.f64 (+.f64 c a) (+.f64 b d))
(+.f64 a (+.f64 b (+.f64 d c)))
(+.f64 c (+.f64 a (+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 d 3))))) (*.f64 5/64 (/.f64 1 (pow.f64 d 3)))) (pow.f64 b 4)) (+.f64 d b))))
(+.f64 (+.f64 a (fma.f64 (fma.f64 -1 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (/.f64 1/16 (pow.f64 d 3))) (/.f64 5/64 (pow.f64 d 3))) (pow.f64 b 4) (+.f64 b d))) c)
(+.f64 a (+.f64 (fma.f64 (pow.f64 b 4) (-.f64 (/.f64 5/64 (pow.f64 d 3)) (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (/.f64 1/16 (pow.f64 d 3)))) (+.f64 b d)) c))
(+.f64 (fma.f64 (pow.f64 b 4) (+.f64 (*.f64 1/64 (/.f64 -1 (pow.f64 d 3))) (*.f64 1/64 (/.f64 1 (pow.f64 d 3)))) (+.f64 b d)) (+.f64 a c))
(+.f64 c (+.f64 a (+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 d 3))))) (*.f64 5/64 (/.f64 1 (pow.f64 d 3)))) (pow.f64 b 4)) (+.f64 d (+.f64 b (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 d 4))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 d 3)))) d))) d)) (+.f64 (pow.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 d 5)))) 2) (*.f64 1/8 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 d 3)))) (pow.f64 d 2)))))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 d 4))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 d 3)))) d))) d)) (+.f64 (*.f64 1/8 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 d 3)))) (pow.f64 d 2))) (*.f64 1/256 (/.f64 1 (pow.f64 d 5)))))) (pow.f64 b 6)))))))
(+.f64 (+.f64 c a) (fma.f64 (fma.f64 -1 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (/.f64 1/16 (pow.f64 d 3))) (/.f64 5/64 (pow.f64 d 3))) (pow.f64 b 4) (+.f64 d (+.f64 b (*.f64 (fma.f64 -1 (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 d 4)) (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (/.f64 1/16 (pow.f64 d 3))) d))) d) (+.f64 (pow.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 d 5)))) 2) (*.f64 1/8 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (/.f64 1/16 (pow.f64 d 3))) (*.f64 d d))))) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 d 4)) (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (/.f64 1/16 (pow.f64 d 3))) d))) d) (fma.f64 1/8 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (/.f64 1/16 (pow.f64 d 3))) (*.f64 d d)) (/.f64 1/256 (pow.f64 d 5))))) (pow.f64 b 6))))))
(+.f64 a (+.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 d 4)) (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (/.f64 1/16 (pow.f64 d 3))) d))) d) (fma.f64 1/8 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (/.f64 1/16 (pow.f64 d 3))) (*.f64 d d)) (/.f64 1/256 (pow.f64 d 5)))) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 d 4)) (*.f64 1/2 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (/.f64 1/16 (pow.f64 d 3))) d))) d) (fma.f64 1/8 (/.f64 (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (/.f64 1/16 (pow.f64 d 3))) (*.f64 d d)) (pow.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 d 5)))) 2)))) (pow.f64 b 6) b) (fma.f64 (pow.f64 b 4) (-.f64 (/.f64 5/64 (pow.f64 d 3)) (+.f64 (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) 2) (/.f64 1/16 (pow.f64 d 3)))) d)) c))
(+.f64 a (+.f64 (fma.f64 (pow.f64 b 4) (+.f64 (*.f64 1/64 (/.f64 -1 (pow.f64 d 3))) (*.f64 1/64 (/.f64 1 (pow.f64 d 3)))) (fma.f64 (-.f64 (fma.f64 1/8 (/.f64 (fma.f64 1/64 (/.f64 1 (pow.f64 d 3)) (/.f64 1/16 (pow.f64 d 3))) (*.f64 d d)) (fma.f64 1/2 (/.f64 (fma.f64 1/2 (/.f64 (fma.f64 1/64 (/.f64 1 (pow.f64 d 3)) (/.f64 1/16 (pow.f64 d 3))) d) (/.f64 1/64 (pow.f64 d 4))) d) (/.f64 1/256 (pow.f64 d 5)))) (fma.f64 1/8 (/.f64 (fma.f64 1/64 (/.f64 1 (pow.f64 d 3)) (/.f64 1/16 (pow.f64 d 3))) (*.f64 d d)) (fma.f64 1/2 (/.f64 (fma.f64 1/2 (/.f64 (fma.f64 1/64 (/.f64 1 (pow.f64 d 3)) (/.f64 1/16 (pow.f64 d 3))) d) (/.f64 1/64 (pow.f64 d 4))) d) (/.f64 1/256 (pow.f64 d 5))))) (pow.f64 b 6) (+.f64 b d))) c))
(+.f64 c (+.f64 d b))
(+.f64 (+.f64 c d) b)
(+.f64 b (+.f64 d c))
(+.f64 c (+.f64 a (+.f64 d b)))
(+.f64 (+.f64 c a) (+.f64 b d))
(+.f64 a (+.f64 b (+.f64 d c)))
(+.f64 c (+.f64 a (+.f64 d b)))
(+.f64 (+.f64 c a) (+.f64 b d))
(+.f64 a (+.f64 b (+.f64 d c)))
(+.f64 c (+.f64 a (+.f64 d b)))
(+.f64 (+.f64 c a) (+.f64 b d))
(+.f64 a (+.f64 b (+.f64 d c)))
a
(+.f64 c (+.f64 a (+.f64 d b)))
(+.f64 (+.f64 c a) (+.f64 b d))
(+.f64 a (+.f64 b (+.f64 d c)))
(+.f64 c (+.f64 a (+.f64 d b)))
(+.f64 (+.f64 c a) (+.f64 b d))
(+.f64 a (+.f64 b (+.f64 d c)))
(+.f64 c (+.f64 a (+.f64 d b)))
(+.f64 (+.f64 c a) (+.f64 b d))
(+.f64 a (+.f64 b (+.f64 d c)))
a
(+.f64 c (+.f64 a (+.f64 d b)))
(+.f64 (+.f64 c a) (+.f64 b d))
(+.f64 a (+.f64 b (+.f64 d c)))
(+.f64 c (+.f64 a (+.f64 d b)))
(+.f64 (+.f64 c a) (+.f64 b d))
(+.f64 a (+.f64 b (+.f64 d c)))
(+.f64 c (+.f64 a (+.f64 d b)))
(+.f64 (+.f64 c a) (+.f64 b d))
(+.f64 a (+.f64 b (+.f64 d c)))
(sqrt.f64 b)
(+.f64 (*.f64 1/2 (*.f64 d (sqrt.f64 (/.f64 1 b)))) (sqrt.f64 b))
(fma.f64 1/2 (*.f64 d (sqrt.f64 (/.f64 1 b))) (sqrt.f64 b))
(fma.f64 d (*.f64 (sqrt.f64 (/.f64 1 b)) 1/2) (sqrt.f64 b))
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 d 2) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (*.f64 1/2 (*.f64 d (sqrt.f64 (/.f64 1 b)))) (sqrt.f64 b)))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (*.f64 d d)) (fma.f64 1/2 (*.f64 d (sqrt.f64 (/.f64 1 b))) (sqrt.f64 b)))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (*.f64 d d)) (fma.f64 d (*.f64 (sqrt.f64 (/.f64 1 b)) 1/2) (sqrt.f64 b)))
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 d 2) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 d 3) (sqrt.f64 (/.f64 1 (pow.f64 b 5))))) (+.f64 (*.f64 1/2 (*.f64 d (sqrt.f64 (/.f64 1 b)))) (sqrt.f64 b))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (*.f64 d d)) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 5))) (pow.f64 d 3)) (fma.f64 1/2 (*.f64 d (sqrt.f64 (/.f64 1 b))) (sqrt.f64 b))))
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (*.f64 d d)) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 5))) (pow.f64 d 3)) (fma.f64 d (*.f64 (sqrt.f64 (/.f64 1 b)) 1/2) (sqrt.f64 b))))
(sqrt.f64 d)
(+.f64 (sqrt.f64 d) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 d)) b)))
(+.f64 (sqrt.f64 d) (*.f64 1/2 (*.f64 b (sqrt.f64 (/.f64 1 d)))))
(fma.f64 1/2 (*.f64 b (sqrt.f64 (/.f64 1 d))) (sqrt.f64 d))
(fma.f64 b (*.f64 1/2 (sqrt.f64 (/.f64 1 d))) (sqrt.f64 d))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 d 3))) (pow.f64 b 2))) (+.f64 (sqrt.f64 d) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 d)) b))))
(fma.f64 -1/8 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) (+.f64 (sqrt.f64 d) (*.f64 1/2 (*.f64 b (sqrt.f64 (/.f64 1 d))))))
(fma.f64 -1/8 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) (fma.f64 1/2 (*.f64 b (sqrt.f64 (/.f64 1 d))) (sqrt.f64 d)))
(fma.f64 (*.f64 b b) (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) (fma.f64 b (*.f64 1/2 (sqrt.f64 (/.f64 1 d))) (sqrt.f64 d)))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 d 3))) (pow.f64 b 2))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 d 5))) (pow.f64 b 3))) (+.f64 (sqrt.f64 d) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 d)) b)))))
(fma.f64 -1/8 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) (fma.f64 1/16 (*.f64 (pow.f64 b 3) (sqrt.f64 (/.f64 1 (pow.f64 d 5)))) (+.f64 (sqrt.f64 d) (*.f64 1/2 (*.f64 b (sqrt.f64 (/.f64 1 d)))))))
(fma.f64 -1/8 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 1 (pow.f64 d 3)))) (fma.f64 1/16 (*.f64 (pow.f64 b 3) (sqrt.f64 (/.f64 1 (pow.f64 d 5)))) (fma.f64 1/2 (*.f64 b (sqrt.f64 (/.f64 1 d))) (sqrt.f64 d))))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 d 3))) (*.f64 -1/8 (*.f64 b b)) (fma.f64 b (*.f64 1/2 (sqrt.f64 (/.f64 1 d))) (fma.f64 1/16 (*.f64 (pow.f64 b 3) (sqrt.f64 (/.f64 1 (pow.f64 d 5)))) (sqrt.f64 d))))

prune319.0ms (10.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2603263
Fresh426
Picked011
Done000
Total2646270
Error
0b
Counts
270 → 6
Alt Table
StatusErrorProgram
▶0.2b
(fma.f64 (+.f64 d (+.f64 b a)) 1 (+.f64 e c))
0.4b
(fma.f64 (sqrt.f64 (+.f64 a (+.f64 (+.f64 d b) c))) (sqrt.f64 (+.f64 a (+.f64 (+.f64 d b) c))) e)
0.3b
(+.f64 e (+.f64 c (+.f64 a (+.f64 b d))))
✓0.3b
(+.f64 e (+.f64 c (fma.f64 (sqrt.f64 (+.f64 d b)) (sqrt.f64 (+.f64 d b)) a)))
0.4b
(+.f64 e (+.f64 c (pow.f64 (pow.f64 (+.f64 a (+.f64 d b)) 3) 1/3)))
0.3b
(fma.f64 c 1 (+.f64 (+.f64 d (+.f64 b a)) e))
Compiler

Compiled 6570 to 3263 computations (50.3% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(+.f64 d (+.f64 b a))
✓0.3b
(fma.f64 (+.f64 d (+.f64 b a)) 1 (+.f64 e c))

series8.0ms (0.3%)

Counts
2 → 96
Calls

24 calls:

TimeVariablePointExpression
1.0ms
d
@0
(fma.f64 (+.f64 d (+.f64 b a)) 1 (+.f64 e c))
0.0ms
b
@inf
(fma.f64 (+.f64 d (+.f64 b a)) 1 (+.f64 e c))
0.0ms
d
@inf
(fma.f64 (+.f64 d (+.f64 b a)) 1 (+.f64 e c))
0.0ms
b
@-inf
(fma.f64 (+.f64 d (+.f64 b a)) 1 (+.f64 e c))
0.0ms
d
@-inf
(fma.f64 (+.f64 d (+.f64 b a)) 1 (+.f64 e c))

rewrite51.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
568×fma-def_binary64
299×fma-neg_binary64
225×expm1-udef_binary64
225×log1p-udef_binary64
131×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01121
124220
2353820
Stop Event
1×node limit
Counts
2 → 85
Calls
Call 1
Inputs
(fma.f64 (+.f64 d (+.f64 b a)) 1 (+.f64 e c))
(+.f64 d (+.f64 b a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 a (+.f64 d b)) (+.f64 e c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 e c) (+.f64 a (+.f64 d b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 a (+.f64 d b)) e) c)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 a (+.f64 d b)) c) e)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 a (+.f64 d b)) (+.f64 e c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 a (+.f64 d b)) (+.f64 e c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 a (+.f64 d b)) (+.f64 e c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (+.f64 a (+.f64 d b)) (+.f64 e c))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 a (+.f64 d b)) (+.f64 e c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 a (+.f64 d b)) (+.f64 e c))) 2) (cbrt.f64 (+.f64 (+.f64 a (+.f64 d b)) (+.f64 e c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 a (+.f64 d b)) (+.f64 e c))) (sqrt.f64 (+.f64 (+.f64 a (+.f64 d b)) (+.f64 e c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 a (+.f64 d b)) 3) (pow.f64 (+.f64 e c) 3)) (+.f64 (pow.f64 (+.f64 a (+.f64 d b)) 2) (-.f64 (pow.f64 (+.f64 e c) 2) (*.f64 (+.f64 a (+.f64 d b)) (+.f64 e c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 a (+.f64 d b)) 2) (pow.f64 (+.f64 e c) 2)) (-.f64 (+.f64 a (+.f64 d b)) (+.f64 e c)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 a (+.f64 d b)) (+.f64 e c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (+.f64 a (+.f64 d b)) (+.f64 e c)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (+.f64 a (+.f64 d b)) (+.f64 e c))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (+.f64 a (+.f64 d b)) (+.f64 e c))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (+.f64 a (+.f64 d b)) (+.f64 e c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (+.f64 a (+.f64 d b)) (+.f64 e c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 a (+.f64 d b)) (+.f64 e c)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (+.f64 a (+.f64 d b)) (+.f64 e c)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (+.f64 a (+.f64 d b)) (+.f64 e c))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (+.f64 a (+.f64 d b)) (+.f64 e c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (+.f64 a (+.f64 d b)) (+.f64 e c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 a (+.f64 d b)) (+.f64 e c))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 a (+.f64 d b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 d d) (-.f64 (-.f64 d b) a)) (/.f64 (pow.f64 (+.f64 b a) 2) (-.f64 (-.f64 d b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a (+.f64 d b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 a (+.f64 d b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 a (+.f64 d b))) (pow.f64 (cbrt.f64 (+.f64 a (+.f64 d b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 a (+.f64 d b))) 2) (cbrt.f64 (+.f64 a (+.f64 d b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 a (+.f64 d b))) 2) (*.f64 (cbrt.f64 (+.f64 a (+.f64 d b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a (+.f64 d b))) (sqrt.f64 (+.f64 a (+.f64 d b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a (+.f64 d b))) (*.f64 (sqrt.f64 (+.f64 a (+.f64 d b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b a) 3)) (/.f64 1 (fma.f64 (+.f64 b a) (-.f64 (+.f64 b a) d) (*.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 b a) 2)) (/.f64 1 (-.f64 (-.f64 d b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (+.f64 b a) (-.f64 (+.f64 b a) d) (*.f64 d d)) (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (-.f64 d b) a) (-.f64 (*.f64 d d) (pow.f64 (+.f64 b a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b a) 3)) (fma.f64 (+.f64 b a) (-.f64 (+.f64 b a) d) (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b a) 3)) (+.f64 (pow.f64 (+.f64 b a) 2) (-.f64 (*.f64 d d) (*.f64 d (+.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 b a) 2)) (-.f64 (-.f64 d b) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b a) 3))) (neg.f64 (fma.f64 (+.f64 b a) (-.f64 (+.f64 b a) d) (*.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 b a) 2))) (neg.f64 (-.f64 (-.f64 d b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 d b) 3) (pow.f64 a 3)) (fma.f64 (+.f64 d b) (+.f64 d b) (-.f64 (*.f64 a a) (*.f64 (+.f64 d b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 b a) 2) (*.f64 d d)) (-.f64 (+.f64 b a) d))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 d b) (+.f64 d b)) (*.f64 a a)) (-.f64 (+.f64 d b) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b a) 3)) 1) (fma.f64 (+.f64 b a) (-.f64 (+.f64 b a) d) (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 b a) 2)) 1) (-.f64 (-.f64 d b) a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 a (+.f64 d b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 a (+.f64 d b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 a (+.f64 d b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 a (+.f64 d b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 a (+.f64 d b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 a (+.f64 d b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 a (+.f64 d b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 a (+.f64 d b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 a (+.f64 d b))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 a (+.f64 d b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 d 1 (+.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b 1 (+.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a 1 (+.f64 d b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 b a) 1 d)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 d (+.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b (+.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a (+.f64 d b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 b a) d)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 d b) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 b a)) (pow.f64 (cbrt.f64 (+.f64 b a)) 2) d)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 b a)) 2) (cbrt.f64 (+.f64 b a)) d)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 d) (pow.f64 (cbrt.f64 d) 2) (+.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 d) 2) (cbrt.f64 d) (+.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (+.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (+.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (+.f64 d b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 d b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (+.f64 b a)) d)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 d) (sqrt.f64 d) (+.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 d b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 b 3) (pow.f64 a 3)) (/.f64 1 (fma.f64 b b (*.f64 a (-.f64 a b)))) d)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 b b) (*.f64 a a)) (/.f64 1 (-.f64 b a)) d)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 d b) 1 a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 d b)) (cbrt.f64 (+.f64 d b))) (cbrt.f64 (+.f64 d b)) a)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 d b)) (sqrt.f64 (+.f64 d b)) a)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 a (+.f64 d b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 a (+.f64 d b))) 1))))))

simplify26.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
121×associate-+l+_binary64
62×associate-+r+_binary64
46×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021852
148852
2128852
3270852
4277852
Stop Event
1×saturated
Counts
181 → 108
Calls
Call 1
Inputs
(+.f64 c (+.f64 a (+.f64 b e)))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
d
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
d
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d e)))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
b
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
b
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 d (+.f64 b e)))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
a
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
a
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d b)))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
e
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
e
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 a (+.f64 d (+.f64 b e)))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
c
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
c
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 a b)
(+.f64 a (+.f64 d b))
(+.f64 a (+.f64 d b))
(+.f64 a (+.f64 d b))
d
(+.f64 a (+.f64 d b))
(+.f64 a (+.f64 d b))
(+.f64 a (+.f64 d b))
d
(+.f64 a (+.f64 d b))
(+.f64 a (+.f64 d b))
(+.f64 a (+.f64 d b))
(+.f64 a d)
(+.f64 a (+.f64 d b))
(+.f64 a (+.f64 d b))
(+.f64 a (+.f64 d b))
b
(+.f64 a (+.f64 d b))
(+.f64 a (+.f64 d b))
(+.f64 a (+.f64 d b))
b
(+.f64 a (+.f64 d b))
(+.f64 a (+.f64 d b))
(+.f64 a (+.f64 d b))
(+.f64 d b)
(+.f64 a (+.f64 d b))
(+.f64 a (+.f64 d b))
(+.f64 a (+.f64 d b))
a
(+.f64 a (+.f64 d b))
(+.f64 a (+.f64 d b))
(+.f64 a (+.f64 d b))
a
(+.f64 a (+.f64 d b))
(+.f64 a (+.f64 d b))
(+.f64 a (+.f64 d b))
Outputs
(+.f64 c (+.f64 a (+.f64 b e)))
(+.f64 (+.f64 c a) (+.f64 b e))
(+.f64 (+.f64 a b) (+.f64 e c))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
d
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
d
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
(+.f64 c (+.f64 a (+.f64 d e)))
(+.f64 c (+.f64 a (+.f64 e d)))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
b
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
b
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
(+.f64 c (+.f64 d (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 b e) d))
(+.f64 (+.f64 b d) (+.f64 e c))
(+.f64 (+.f64 b e) (+.f64 c d))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
a
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
a
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
(+.f64 c (+.f64 a (+.f64 d b)))
(+.f64 c (+.f64 (+.f64 a d) b))
(+.f64 c (+.f64 a (+.f64 b d)))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
e
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
e
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
(+.f64 a (+.f64 d (+.f64 b e)))
(+.f64 (+.f64 a d) (+.f64 b e))
(+.f64 (+.f64 a (+.f64 e d)) b)
(+.f64 a (+.f64 b (+.f64 e d)))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
c
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
c
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a (+.f64 e d)) b))
(+.f64 c (+.f64 a (+.f64 b (+.f64 e d))))
(+.f64 a b)
(+.f64 a (+.f64 d b))
(+.f64 (+.f64 a d) b)
(+.f64 a (+.f64 b d))
(+.f64 a (+.f64 d b))
(+.f64 (+.f64 a d) b)
(+.f64 a (+.f64 b d))
(+.f64 a (+.f64 d b))
(+.f64 (+.f64 a d) b)
(+.f64 a (+.f64 b d))
d
(+.f64 a (+.f64 d b))
(+.f64 (+.f64 a d) b)
(+.f64 a (+.f64 b d))
(+.f64 a (+.f64 d b))
(+.f64 (+.f64 a d) b)
(+.f64 a (+.f64 b d))
(+.f64 a (+.f64 d b))
(+.f64 (+.f64 a d) b)
(+.f64 a (+.f64 b d))
d
(+.f64 a (+.f64 d b))
(+.f64 (+.f64 a d) b)
(+.f64 a (+.f64 b d))
(+.f64 a (+.f64 d b))
(+.f64 (+.f64 a d) b)
(+.f64 a (+.f64 b d))
(+.f64 a (+.f64 d b))
(+.f64 (+.f64 a d) b)
(+.f64 a (+.f64 b d))
(+.f64 a d)
(+.f64 a (+.f64 d b))
(+.f64 (+.f64 a d) b)
(+.f64 a (+.f64 b d))
(+.f64 a (+.f64 d b))
(+.f64 (+.f64 a d) b)
(+.f64 a (+.f64 b d))
(+.f64 a (+.f64 d b))
(+.f64 (+.f64 a d) b)
(+.f64 a (+.f64 b d))
b
(+.f64 a (+.f64 d b))
(+.f64 (+.f64 a d) b)
(+.f64 a (+.f64 b d))
(+.f64 a (+.f64 d b))
(+.f64 (+.f64 a d) b)
(+.f64 a (+.f64 b d))
(+.f64 a (+.f64 d b))
(+.f64 (+.f64 a d) b)
(+.f64 a (+.f64 b d))
b
(+.f64 a (+.f64 d b))
(+.f64 (+.f64 a d) b)
(+.f64 a (+.f64 b d))
(+.f64 a (+.f64 d b))
(+.f64 (+.f64 a d) b)
(+.f64 a (+.f64 b d))
(+.f64 a (+.f64 d b))
(+.f64 (+.f64 a d) b)
(+.f64 a (+.f64 b d))
(+.f64 d b)
(+.f64 b d)
(+.f64 a (+.f64 d b))
(+.f64 (+.f64 a d) b)
(+.f64 a (+.f64 b d))
(+.f64 a (+.f64 d b))
(+.f64 (+.f64 a d) b)
(+.f64 a (+.f64 b d))
(+.f64 a (+.f64 d b))
(+.f64 (+.f64 a d) b)
(+.f64 a (+.f64 b d))
a
(+.f64 a (+.f64 d b))
(+.f64 (+.f64 a d) b)
(+.f64 a (+.f64 b d))
(+.f64 a (+.f64 d b))
(+.f64 (+.f64 a d) b)
(+.f64 a (+.f64 b d))
(+.f64 a (+.f64 d b))
(+.f64 (+.f64 a d) b)
(+.f64 a (+.f64 b d))
a
(+.f64 a (+.f64 d b))
(+.f64 (+.f64 a d) b)
(+.f64 a (+.f64 b d))
(+.f64 a (+.f64 d b))
(+.f64 (+.f64 a d) b)
(+.f64 a (+.f64 b d))
(+.f64 a (+.f64 d b))
(+.f64 (+.f64 a d) b)
(+.f64 a (+.f64 b d))

prune106.0ms (3.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1071108
Fresh134
Picked011
Done011
Total1086114
Error
0b
Counts
114 → 6
Alt Table
StatusErrorProgram
0.3b
(fma.f64 c 1 (+.f64 (+.f64 d (+.f64 b a)) e))
▶0.3b
(+.f64 (+.f64 a (+.f64 d b)) (+.f64 e c))
✓0.2b
(fma.f64 (+.f64 d (+.f64 b a)) 1 (+.f64 e c))
0.4b
(fma.f64 (sqrt.f64 (+.f64 a (+.f64 (+.f64 d b) c))) (sqrt.f64 (+.f64 a (+.f64 (+.f64 d b) c))) e)
✓0.3b
(+.f64 e (+.f64 c (fma.f64 (sqrt.f64 (+.f64 d b)) (sqrt.f64 (+.f64 d b)) a)))
0.4b
(+.f64 e (+.f64 c (pow.f64 (pow.f64 (+.f64 a (+.f64 d b)) 3) 1/3)))
Compiler

Compiled 1702 to 581 computations (65.9% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(+.f64 a (+.f64 d b))
✓0.3b
(+.f64 (+.f64 a (+.f64 d b)) (+.f64 e c))

series4.0ms (0.1%)

Counts
1 → 60
Calls

15 calls:

TimeVariablePointExpression
0.0ms
a
@0
(+.f64 (+.f64 a (+.f64 d b)) (+.f64 e c))
0.0ms
b
@inf
(+.f64 (+.f64 a (+.f64 d b)) (+.f64 e c))
0.0ms
a
@inf
(+.f64 (+.f64 a (+.f64 d b)) (+.f64 e c))
0.0ms
a
@-inf
(+.f64 (+.f64 a (+.f64 d b)) (+.f64 e c))
0.0ms
b
@-inf
(+.f64 (+.f64 a (+.f64 d b)) (+.f64 e c))

rewrite54.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
433×fma-neg_binary64
236×expm1-udef_binary64
236×log1p-udef_binary64
136×add-sqr-sqrt_binary64
135×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
124213
2405513
Stop Event
1×node limit
Counts
1 → 50
Calls
Call 1
Inputs
(+.f64 (+.f64 a (+.f64 d b)) (+.f64 e c))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 d b) (+.f64 a (+.f64 e c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 d (+.f64 b a)) 2) (+.f64 a (-.f64 (+.f64 d b) (+.f64 e c)))) (/.f64 (pow.f64 (+.f64 e c) 2) (+.f64 a (-.f64 (+.f64 d b) (+.f64 e c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 d b) (+.f64 a (+.f64 e c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 d b) (+.f64 a (+.f64 e c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (+.f64 d b) (+.f64 a (+.f64 e c)))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 d b) (+.f64 a (+.f64 e c)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 d b) (+.f64 a (+.f64 e c)))) 2) (cbrt.f64 (+.f64 (+.f64 d b) (+.f64 a (+.f64 e c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 d b) (+.f64 a (+.f64 e c)))) (sqrt.f64 (+.f64 (+.f64 d b) (+.f64 a (+.f64 e c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 d (+.f64 b a)) 3) (pow.f64 (+.f64 e c) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 d (+.f64 b a)) 2) (*.f64 (+.f64 e c) (-.f64 (+.f64 e c) (+.f64 d (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 d (+.f64 b a)) 2) (pow.f64 (+.f64 e c) 2)) (/.f64 1 (+.f64 a (-.f64 (+.f64 d b) (+.f64 e c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 d (+.f64 b a)) 2) (*.f64 (+.f64 e c) (-.f64 (+.f64 e c) (+.f64 d (+.f64 b a))))) (+.f64 (pow.f64 (+.f64 d (+.f64 b a)) 3) (pow.f64 (+.f64 e c) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 a (-.f64 (+.f64 d b) (+.f64 e c))) (-.f64 (pow.f64 (+.f64 d (+.f64 b a)) 2) (pow.f64 (+.f64 e c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 d (+.f64 b a)) 3) (pow.f64 (+.f64 e c) 3)) (+.f64 (pow.f64 (+.f64 d (+.f64 b a)) 2) (*.f64 (+.f64 e c) (-.f64 (+.f64 e c) (+.f64 d (+.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 d (+.f64 b a)) 3) (pow.f64 (+.f64 e c) 3)) (+.f64 (pow.f64 (+.f64 e c) 2) (-.f64 (pow.f64 (+.f64 d (+.f64 b a)) 2) (*.f64 (+.f64 d (+.f64 b a)) (+.f64 e c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 d (+.f64 b a)) 2) (pow.f64 (+.f64 e c) 2)) (+.f64 a (-.f64 (+.f64 d b) (+.f64 e c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 d (+.f64 b a)) 3) (pow.f64 (+.f64 e c) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 d (+.f64 b a)) 2) (*.f64 (+.f64 e c) (-.f64 (+.f64 e c) (+.f64 d (+.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 d (+.f64 b a)) 2) (pow.f64 (+.f64 e c) 2))) (neg.f64 (+.f64 a (-.f64 (+.f64 d b) (+.f64 e c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 d b) 3)) (fma.f64 e e (*.f64 c (-.f64 c e)))) (*.f64 (fma.f64 a a (*.f64 (+.f64 d b) (-.f64 (+.f64 d b) a))) (+.f64 (pow.f64 e 3) (pow.f64 c 3)))) (*.f64 (fma.f64 a a (*.f64 (+.f64 d b) (-.f64 (+.f64 d b) a))) (fma.f64 e e (*.f64 c (-.f64 c e)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 d b) 2)) (fma.f64 e e (*.f64 c (-.f64 c e)))) (*.f64 (-.f64 a (+.f64 d b)) (+.f64 (pow.f64 e 3) (pow.f64 c 3)))) (*.f64 (-.f64 a (+.f64 d b)) (fma.f64 e e (*.f64 c (-.f64 c e)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 d b) 3)) (-.f64 e c)) (*.f64 (fma.f64 a a (*.f64 (+.f64 d b) (-.f64 (+.f64 d b) a))) (*.f64 (+.f64 e c) (-.f64 e c)))) (*.f64 (fma.f64 a a (*.f64 (+.f64 d b) (-.f64 (+.f64 d b) a))) (-.f64 e c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 d b) 2)) (-.f64 e c)) (*.f64 (-.f64 a (+.f64 d b)) (*.f64 (+.f64 e c) (-.f64 e c)))) (*.f64 (-.f64 a (+.f64 d b)) (-.f64 e c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 (pow.f64 e 3) (pow.f64 c 3)) (fma.f64 a a (*.f64 (+.f64 d b) (-.f64 (+.f64 d b) a)))) (*.f64 (fma.f64 e e (*.f64 c (-.f64 c e))) (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 d b) 3)))) (*.f64 (fma.f64 e e (*.f64 c (-.f64 c e))) (fma.f64 a a (*.f64 (+.f64 d b) (-.f64 (+.f64 d b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (+.f64 e c) (-.f64 e c)) (fma.f64 a a (*.f64 (+.f64 d b) (-.f64 (+.f64 d b) a)))) (*.f64 (-.f64 e c) (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 d b) 3)))) (*.f64 (-.f64 e c) (fma.f64 a a (*.f64 (+.f64 d b) (-.f64 (+.f64 d b) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 (pow.f64 e 3) (pow.f64 c 3)) (-.f64 a (+.f64 d b))) (*.f64 (fma.f64 e e (*.f64 c (-.f64 c e))) (-.f64 (*.f64 a a) (pow.f64 (+.f64 d b) 2)))) (*.f64 (fma.f64 e e (*.f64 c (-.f64 c e))) (-.f64 a (+.f64 d b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (+.f64 e c) (-.f64 e c)) (-.f64 a (+.f64 d b))) (*.f64 (-.f64 e c) (-.f64 (*.f64 a a) (pow.f64 (+.f64 d b) 2)))) (*.f64 (-.f64 e c) (-.f64 a (+.f64 d b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 3) (pow.f64 (+.f64 d (+.f64 b (+.f64 e c))) 3)) (+.f64 (*.f64 a a) (-.f64 (*.f64 (+.f64 d (+.f64 b (+.f64 e c))) (+.f64 d (+.f64 b (+.f64 e c)))) (*.f64 a (+.f64 d (+.f64 b (+.f64 e c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 a (+.f64 (+.f64 d b) e)) 3) (pow.f64 c 3)) (+.f64 (*.f64 (+.f64 a (+.f64 (+.f64 d b) e)) (+.f64 a (+.f64 (+.f64 d b) e))) (-.f64 (*.f64 c c) (*.f64 (+.f64 a (+.f64 (+.f64 d b) e)) c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 a a) (*.f64 (+.f64 d (+.f64 b (+.f64 e c))) (+.f64 d (+.f64 b (+.f64 e c))))) (-.f64 a (+.f64 d (+.f64 b (+.f64 e c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 e c) 2) (pow.f64 (+.f64 d (+.f64 b a)) 2)) (-.f64 (+.f64 e c) (+.f64 d (+.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 a (+.f64 (+.f64 d b) e)) (+.f64 a (+.f64 (+.f64 d b) e))) (*.f64 c c)) (-.f64 (+.f64 a (+.f64 (+.f64 d b) e)) c))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 d b) (+.f64 a (+.f64 e c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (+.f64 d b) (+.f64 a (+.f64 e c))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (+.f64 d b) (+.f64 a (+.f64 e c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (+.f64 d b) (+.f64 a (+.f64 e c)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (+.f64 d b) (+.f64 a (+.f64 e c))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (+.f64 d b) (+.f64 a (+.f64 e c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 d b) (+.f64 a (+.f64 e c))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (+.f64 d b) (+.f64 a (+.f64 e c))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (+.f64 d b) (+.f64 a (+.f64 e c)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (+.f64 d b) (+.f64 a (+.f64 e c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a (+.f64 d (+.f64 b (+.f64 e c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 d (+.f64 b a)) (+.f64 e c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 e c) (+.f64 d (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 a a)) (cbrt.f64 a) (+.f64 d (+.f64 b (+.f64 e c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 e c)) 2) (cbrt.f64 (+.f64 e c)) (+.f64 d (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 d (+.f64 b a))) 2) (cbrt.f64 (+.f64 d (+.f64 b a))) (+.f64 e c))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 d (+.f64 b (+.f64 e c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 e c)) (sqrt.f64 (+.f64 e c)) (+.f64 d (+.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 d (+.f64 b a))) (sqrt.f64 (+.f64 d (+.f64 b a))) (+.f64 e c))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (+.f64 d b) (+.f64 a (+.f64 e c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 d b) (+.f64 a (+.f64 e c)))) 1))))))

simplify20.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
117×associate-+l+_binary64
60×associate-+r+_binary64
49×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019645
146645
2131645
3268645
4279645
Stop Event
1×saturated
Counts
110 → 67
Calls
Call 1
Inputs
(+.f64 c (+.f64 d (+.f64 b e)))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
a
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
a
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 b e)))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
d
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
d
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d e)))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
b
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
b
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d b)))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
e
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
e
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 a (+.f64 d (+.f64 b e)))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
c
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
c
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
Outputs
(+.f64 c (+.f64 d (+.f64 b e)))
(+.f64 (+.f64 c d) (+.f64 b e))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
a
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
a
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
(+.f64 c (+.f64 a (+.f64 b e)))
(+.f64 c (+.f64 (+.f64 a b) e))
(+.f64 c (+.f64 b (+.f64 e a)))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
d
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
d
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
(+.f64 c (+.f64 a (+.f64 d e)))
(+.f64 c (+.f64 (+.f64 a d) e))
(+.f64 c (+.f64 d (+.f64 e a)))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
b
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
b
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
(+.f64 c (+.f64 a (+.f64 d b)))
(+.f64 c (+.f64 (+.f64 a d) b))
(+.f64 c (+.f64 d (+.f64 b a)))
(+.f64 c (+.f64 b (+.f64 d a)))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
e
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
e
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
(+.f64 a (+.f64 d (+.f64 b e)))
(+.f64 (+.f64 a d) (+.f64 b e))
(+.f64 d (+.f64 b (+.f64 e a)))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
c
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
c
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))
(+.f64 c (+.f64 a (+.f64 d (+.f64 b e))))
(+.f64 c (+.f64 (+.f64 a d) (+.f64 b e)))
(+.f64 c (+.f64 d (+.f64 b (+.f64 e a))))

prune96.0ms (3.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1043107
Fresh123
Picked101
Done022
Total1067113
Error
0b
Counts
113 → 7
Alt Table
StatusErrorProgram
0.4b
(fma.f64 1 a (+.f64 d (+.f64 b (+.f64 e c))))
0.3b
(*.f64 (+.f64 (+.f64 d b) (+.f64 a (+.f64 e c))) 1)
✓0.3b
(+.f64 e (+.f64 c (fma.f64 (sqrt.f64 (+.f64 d b)) (sqrt.f64 (+.f64 d b)) a)))
0.4b
(+.f64 e (+.f64 c (pow.f64 (pow.f64 (+.f64 a (+.f64 d b)) 3) 1/3)))
0.3b
(fma.f64 c 1 (+.f64 (+.f64 d (+.f64 b a)) e))
✓0.2b
(fma.f64 (+.f64 d (+.f64 b a)) 1 (+.f64 e c))
0.4b
(+.f64 (exp.f64 (log.f64 (+.f64 a (+.f64 d b)))) (+.f64 e c))
Compiler

Compiled 2095 to 604 computations (71.2% saved)

regimes450.0ms (15.1%)

Accuracy

Total -0.6b remaining (-240.4%)

Threshold costs -0.6b (-240.4%)

Counts
68 → 1
Compiler

Compiled 1043 to 328 computations (68.6% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01114
11614
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (+.f64 d (+.f64 b a)) 1 (+.f64 e c))
Outputs
(fma.f64 (+.f64 d (+.f64 b a)) 1 (+.f64 e c))

end68.0ms (2.3%)

Stop Event
1×fuel
Remove

(sort a b c d e)

Compiler

Compiled 139 to 68 computations (51.1% saved)

Profiling

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