Expression, p14

Time bar (total: 3.9s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
100%0%0%100%0%0%0%1
Compiler

Compiled 42 to 30 computations (28.6% saved)

sample1.3s (32.4%)

Results
1.2s8256×body256valid
Bogosity

preprocess400.0ms (10.3%)

Algorithm
egg-herbie
Rules
4204×fma-def
1182×unsub-neg
760×distribute-lft-in
696×distribute-rgt-in
498×sub-neg
Problems
256×No Errors
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049520
1177512
2608500
31809500
43738500
54563500
65017500
75039500
85039500
95058500
105058500
115058500
126941500
136941500
146941500
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 (neg.f64 a) (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 (+.f64 (neg.f64 b) c) d))
(*.f64 a (+.f64 (+.f64 b (neg.f64 c)) d))
(*.f64 a (+.f64 (+.f64 b c) (neg.f64 d)))
(neg.f64 (*.f64 (neg.f64 a) (+.f64 (+.f64 b c) d)))
(neg.f64 (*.f64 a (+.f64 (+.f64 (neg.f64 b) c) d)))
(neg.f64 (*.f64 a (+.f64 (+.f64 b (neg.f64 c)) d)))
(neg.f64 (*.f64 a (+.f64 (+.f64 b c) (neg.f64 d))))
(*.f64 b (+.f64 (+.f64 a c) d))
(*.f64 c (+.f64 (+.f64 b a) d))
(*.f64 d (+.f64 (+.f64 b c) a))
(*.f64 a (+.f64 (+.f64 c b) d))
(*.f64 a (+.f64 (+.f64 d c) b))
(*.f64 a (+.f64 (+.f64 b d) c))
Outputs
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 (neg.f64 a) (+.f64 (+.f64 b c) d))
(*.f64 (+.f64 c (+.f64 b d)) (neg.f64 a))
(*.f64 a (+.f64 (+.f64 (neg.f64 b) c) d))
(*.f64 a (+.f64 d (+.f64 c (neg.f64 b))))
(*.f64 a (+.f64 d (-.f64 c b)))
(*.f64 a (-.f64 (+.f64 c d) b))
(*.f64 a (-.f64 d (-.f64 b c)))
(*.f64 a (+.f64 (+.f64 b (neg.f64 c)) d))
(*.f64 a (+.f64 d (-.f64 b c)))
(*.f64 a (+.f64 b (-.f64 d c)))
(*.f64 a (+.f64 (+.f64 b c) (neg.f64 d)))
(*.f64 a (-.f64 (+.f64 b c) d))
(*.f64 a (+.f64 b (-.f64 c d)))
(neg.f64 (*.f64 (neg.f64 a) (+.f64 (+.f64 b c) d)))
(*.f64 a (+.f64 c (+.f64 b d)))
(neg.f64 (*.f64 a (+.f64 (+.f64 (neg.f64 b) c) d)))
(*.f64 a (neg.f64 (+.f64 d (+.f64 c (neg.f64 b)))))
(*.f64 a (neg.f64 (+.f64 d (-.f64 c b))))
(*.f64 a (-.f64 b (+.f64 c d)))
(neg.f64 (*.f64 a (+.f64 (+.f64 b (neg.f64 c)) d)))
(*.f64 (neg.f64 a) (+.f64 d (-.f64 b c)))
(*.f64 a (-.f64 (-.f64 c d) b))
(*.f64 a (-.f64 c (+.f64 b d)))
(neg.f64 (*.f64 a (+.f64 (+.f64 b c) (neg.f64 d))))
(*.f64 a (neg.f64 (-.f64 (+.f64 b c) d)))
(*.f64 a (neg.f64 (+.f64 b (-.f64 c d))))
(*.f64 a (-.f64 d (+.f64 b c)))
(*.f64 b (+.f64 (+.f64 a c) d))
(*.f64 b (+.f64 a (+.f64 c d)))
(*.f64 c (+.f64 (+.f64 b a) d))
(*.f64 c (+.f64 b (+.f64 a d)))
(*.f64 c (+.f64 a (+.f64 b d)))
(*.f64 d (+.f64 (+.f64 b c) a))
(*.f64 d (+.f64 a (+.f64 b c)))
(*.f64 d (+.f64 b (+.f64 a c)))
(*.f64 a (+.f64 (+.f64 c b) d))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a (+.f64 (+.f64 d c) b))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a (+.f64 (+.f64 b d) c))
(*.f64 a (+.f64 c (+.f64 b d)))
Symmetry

(negabs a)

(sort b c d)

Compiler

Compiled 35 to 15 computations (57.1% saved)

eval0.0ms (0%)

Compiler

Compiled 11 to 7 computations (36.4% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(*.f64 a (+.f64 (+.f64 b c) d))
99.9%
(*.f64 a (+.f64 (+.f64 b c) d))
Compiler

Compiled 22 to 14 computations (36.4% saved)

localize125.0ms (3.2%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (+.f64 b c) d)
99.9%
(*.f64 a (+.f64 (+.f64 b c) d))
Compiler

Compiled 24 to 8 computations (66.7% saved)

series5.0ms (0.1%)

Counts
2 → 84
Calls

21 calls:

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

rewrite140.0ms (3.6%)

Algorithm
batch-egg-rewrite
Rules
994×log1p-expm1-u
994×expm1-log1p-u
978×fma-def
862×log-prod
370×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01453
117453
2260953
Stop Event
node limit
Counts
2 → 137
Calls
Call 1
Inputs
(*.f64 a (+.f64 (+.f64 b c) d))
(+.f64 (+.f64 b c) d)
Outputs
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
(+.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))
(+.f64 0 (*.f64 a (+.f64 b (+.f64 c d))))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(+.f64 (*.f64 b a) (*.f64 (+.f64 c d) a))
(+.f64 (*.f64 (*.f64 a (+.f64 b c)) 1) (*.f64 (*.f64 a d) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (+.f64 b (+.f64 c d)))) (cbrt.f64 (pow.f64 (exp.f64 a) (+.f64 b (+.f64 c d)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (+.f64 b (+.f64 c d))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (+.f64 b (+.f64 c d))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (+.f64 b (+.f64 c d))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (+.f64 b (+.f64 c d))))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 b c)) 3) (pow.f64 (*.f64 a d) 3)) (fma.f64 (*.f64 a (+.f64 b c)) (*.f64 a (+.f64 b c)) (-.f64 (*.f64 (*.f64 a d) (*.f64 a d)) (*.f64 (*.f64 a (+.f64 b c)) (*.f64 a d)))))
(/.f64 (-.f64 (*.f64 (*.f64 a (+.f64 b c)) (*.f64 a (+.f64 b c))) (*.f64 (*.f64 a d) (*.f64 a d))) (-.f64 (*.f64 a (+.f64 b c)) (*.f64 a d)))
(/.f64 (*.f64 a (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b c) 3))) (fma.f64 d (-.f64 d (+.f64 b c)) (pow.f64 (+.f64 b c) 2)))
(/.f64 (*.f64 a (-.f64 (pow.f64 (+.f64 b c) 2) (pow.f64 d 2))) (+.f64 b (-.f64 c d)))
(/.f64 (*.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b c) 3)) a) (fma.f64 d (-.f64 d (+.f64 b c)) (pow.f64 (+.f64 b c) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 b c) 2) (pow.f64 d 2)) a) (+.f64 b (-.f64 c d)))
(pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 1)
(pow.f64 (cbrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 3)
(pow.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 2)
(sqrt.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 2))
(log.f64 (pow.f64 (exp.f64 a) (+.f64 b (+.f64 c d))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a (+.f64 b (+.f64 c d))))))
(log.f64 (*.f64 (exp.f64 (*.f64 a d)) (exp.f64 (*.f64 a (+.f64 b c)))))
(cbrt.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 3))
(cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (+.f64 b (+.f64 c d)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3)))
(expm1.f64 (log1p.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(exp.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 1))
(log1p.f64 (expm1.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(fma.f64 a b (*.f64 a (+.f64 c d)))
(fma.f64 a (+.f64 b c) (*.f64 a d))
(fma.f64 a d (*.f64 a (+.f64 b c)))
(fma.f64 b a (*.f64 (+.f64 c d) a))
(fma.f64 (+.f64 b c) a (*.f64 a d))
(fma.f64 d a (*.f64 a (+.f64 b c)))
(fma.f64 1 (*.f64 a (+.f64 b c)) (*.f64 a d))
(fma.f64 1 (*.f64 a d) (*.f64 a (+.f64 b c)))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (+.f64 b c)) (*.f64 a d))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) d) (*.f64 a (+.f64 b c)))
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (*.f64 (cbrt.f64 d) a) (*.f64 a (+.f64 b c)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b c)) 2) (*.f64 (cbrt.f64 (+.f64 b c)) a) (*.f64 a d))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (+.f64 b c)) (*.f64 a d))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) d) (*.f64 a (+.f64 b c)))
(fma.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 d) a) (*.f64 a (+.f64 b c)))
(fma.f64 (sqrt.f64 (+.f64 b c)) (*.f64 (sqrt.f64 (+.f64 b c)) a) (*.f64 a d))
(fma.f64 (*.f64 a (+.f64 b c)) 1 (*.f64 (*.f64 a d) 1))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 a (+.f64 b c))) (cbrt.f64 (*.f64 a (+.f64 b c)))) (cbrt.f64 (*.f64 a (+.f64 b c))) (*.f64 a d))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 a d)) (cbrt.f64 (*.f64 a d))) (cbrt.f64 (*.f64 a d)) (*.f64 a (+.f64 b c)))
(fma.f64 (sqrt.f64 (*.f64 a (+.f64 b c))) (sqrt.f64 (*.f64 a (+.f64 b c))) (*.f64 a d))
(fma.f64 (sqrt.f64 (*.f64 a d)) (sqrt.f64 (*.f64 a d)) (*.f64 a (+.f64 b c)))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 b c)) (sqrt.f64 a)) (*.f64 (sqrt.f64 (+.f64 b c)) (sqrt.f64 a)) (*.f64 a d))
(fma.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 b c))) (*.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 b c))) (*.f64 a d))
(fma.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 a)) (*.f64 (sqrt.f64 d) (sqrt.f64 a)) (*.f64 a (+.f64 b c)))
(fma.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 d)) (*.f64 (sqrt.f64 a) (sqrt.f64 d)) (*.f64 a (+.f64 b c)))
(fma.f64 (*.f64 (+.f64 b c) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 a d))
(fma.f64 (*.f64 (+.f64 b c) (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a d))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 (+.f64 b c)) 2)) (cbrt.f64 (+.f64 b c)) (*.f64 a d))
(fma.f64 (*.f64 a (sqrt.f64 (+.f64 b c))) (sqrt.f64 (+.f64 b c)) (*.f64 a d))
(fma.f64 (*.f64 d (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 a (+.f64 b c)))
(fma.f64 (*.f64 d (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a (+.f64 b c)))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 d) (*.f64 a (+.f64 b c)))
(fma.f64 (*.f64 a (sqrt.f64 d)) (sqrt.f64 d) (*.f64 a (+.f64 b c)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 b (+.f64 c d)))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 b c) 2) (+.f64 b (-.f64 c d))) (/.f64 (pow.f64 d 2) (+.f64 b (-.f64 c d))))
(*.f64 (+.f64 b (+.f64 c d)) 1)
(*.f64 1 (+.f64 b (+.f64 c d)))
(*.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2) (cbrt.f64 (+.f64 b (+.f64 c d))))
(*.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) (sqrt.f64 (+.f64 b (+.f64 c d))))
(*.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b c) 3)) (/.f64 1 (fma.f64 d (-.f64 d (+.f64 b c)) (pow.f64 (+.f64 b c) 2))))
(*.f64 (-.f64 (pow.f64 (+.f64 b c) 2) (pow.f64 d 2)) (/.f64 1 (+.f64 b (-.f64 c d))))
(/.f64 1 (/.f64 (fma.f64 d (-.f64 d (+.f64 b c)) (pow.f64 (+.f64 b c) 2)) (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b c) 3))))
(/.f64 1 (/.f64 (+.f64 b (-.f64 c d)) (-.f64 (pow.f64 (+.f64 b c) 2) (pow.f64 d 2))))
(/.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b c) 3)) (fma.f64 d (-.f64 d (+.f64 b c)) (pow.f64 (+.f64 b c) 2)))
(/.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b c) 3)) (fma.f64 d d (-.f64 (pow.f64 (+.f64 b c) 2) (*.f64 (+.f64 b c) d))))
(/.f64 (-.f64 (pow.f64 (+.f64 b c) 2) (pow.f64 d 2)) (+.f64 b (-.f64 c d)))
(/.f64 (neg.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b c) 3))) (neg.f64 (fma.f64 d (-.f64 d (+.f64 b c)) (pow.f64 (+.f64 b c) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 b c) 2) (pow.f64 d 2))) (neg.f64 (+.f64 b (-.f64 c d))))
(/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 c d) 3)) (fma.f64 b b (-.f64 (*.f64 (+.f64 c d) (+.f64 c d)) (*.f64 b (+.f64 c d)))))
(/.f64 (-.f64 (pow.f64 b 2) (*.f64 (+.f64 c d) (+.f64 c d))) (-.f64 b (+.f64 c d)))
(/.f64 (-.f64 (pow.f64 d 2) (pow.f64 (+.f64 b c) 2)) (-.f64 d (+.f64 b c)))
(pow.f64 (+.f64 b (+.f64 c d)) 1)
(pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 3)
(pow.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) 2)
(sqrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2))
(log.f64 (exp.f64 (+.f64 b (+.f64 c d))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 b (+.f64 c d)))))
(log.f64 (*.f64 (exp.f64 b) (*.f64 (exp.f64 c) (exp.f64 d))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (*.f64 (exp.f64 c) (exp.f64 d))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (+.f64 c d))))
(log.f64 (*.f64 (exp.f64 (+.f64 b c)) (+.f64 1 (expm1.f64 d))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 b c))) (exp.f64 d)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 b c))) (+.f64 1 (expm1.f64 d))))
(log.f64 (*.f64 (exp.f64 d) (+.f64 1 (expm1.f64 (+.f64 b c)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 d)) (exp.f64 (+.f64 b c))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 d)) (+.f64 1 (expm1.f64 (+.f64 b c)))))
(log.f64 (*.f64 (*.f64 (exp.f64 c) (exp.f64 d)) (exp.f64 b)))
(log.f64 (*.f64 (*.f64 (exp.f64 c) (exp.f64 d)) (+.f64 1 (expm1.f64 b))))
(log.f64 (*.f64 (exp.f64 (+.f64 c d)) (exp.f64 b)))
(log.f64 (*.f64 (exp.f64 (+.f64 c d)) (+.f64 1 (expm1.f64 b))))
(cbrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3))
(expm1.f64 (log1p.f64 (+.f64 b (+.f64 c d))))
(exp.f64 (log.f64 (+.f64 b (+.f64 c d))))
(exp.f64 (*.f64 (log.f64 (+.f64 b (+.f64 c d))) 1))
(log1p.f64 (expm1.f64 (+.f64 b (+.f64 c d))))
(fma.f64 b 1 (+.f64 c d))
(fma.f64 b 1 (*.f64 (+.f64 c d) 1))
(fma.f64 c 1 (+.f64 b d))
(fma.f64 (+.f64 b c) 1 d)
(fma.f64 d 1 (+.f64 b c))
(fma.f64 1 b (+.f64 c d))
(fma.f64 1 b (*.f64 (+.f64 c d) 1))
(fma.f64 1 c (+.f64 b d))
(fma.f64 1 (+.f64 b c) d)
(fma.f64 1 d (+.f64 b c))
(fma.f64 1 (+.f64 c d) b)
(fma.f64 (cbrt.f64 c) (pow.f64 (cbrt.f64 c) 2) (+.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 c) (+.f64 b d))
(fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (+.f64 c d))
(fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (*.f64 (+.f64 c d) 1))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (+.f64 c d))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (*.f64 (+.f64 c d) 1))
(fma.f64 (cbrt.f64 d) (pow.f64 (cbrt.f64 d) 2) (+.f64 b c))
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (cbrt.f64 d) (+.f64 b c))
(fma.f64 (cbrt.f64 (+.f64 b c)) (pow.f64 (cbrt.f64 (+.f64 b c)) 2) d)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b c)) 2) (cbrt.f64 (+.f64 b c)) d)
(fma.f64 (sqrt.f64 c) (sqrt.f64 c) (+.f64 b d))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 c d))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (*.f64 (+.f64 c d) 1))
(fma.f64 (sqrt.f64 d) (sqrt.f64 d) (+.f64 b c))
(fma.f64 (sqrt.f64 (+.f64 b c)) (sqrt.f64 (+.f64 b c)) d)
(fma.f64 (+.f64 (pow.f64 c 3) (pow.f64 b 3)) (/.f64 1 (fma.f64 c (-.f64 c b) (pow.f64 b 2))) d)
(fma.f64 (-.f64 (pow.f64 b 2) (pow.f64 c 2)) (/.f64 1 (-.f64 b c)) d)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 c d)) (cbrt.f64 (+.f64 c d))) (cbrt.f64 (+.f64 c d)) b)
(fma.f64 (sqrt.f64 (+.f64 c d)) (sqrt.f64 (+.f64 c d)) b)

simplify152.0ms (3.9%)

Algorithm
egg-herbie
Rules
1038×unswap-sqr
706×associate-/l*
696×times-frac
406×cancel-sign-sub-inv
366×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03346917
18476818
225906710
Stop Event
node limit
Counts
221 → 181
Calls
Call 1
Inputs
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a b)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a b)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 b d))
(+.f64 (*.f64 a c) (*.f64 a (+.f64 b d)))
(+.f64 (*.f64 a c) (*.f64 a (+.f64 b d)))
(+.f64 (*.f64 a c) (*.f64 a (+.f64 b d)))
(*.f64 a c)
(+.f64 (*.f64 a c) (*.f64 a (+.f64 b d)))
(+.f64 (*.f64 a c) (*.f64 a (+.f64 b d)))
(+.f64 (*.f64 a c) (*.f64 a (+.f64 b d)))
(*.f64 a c)
(+.f64 (*.f64 a c) (*.f64 a (+.f64 b d)))
(+.f64 (*.f64 a c) (*.f64 a (+.f64 b d)))
(+.f64 (*.f64 a c) (*.f64 a (+.f64 b d)))
(*.f64 a (+.f64 b c))
(+.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))
(+.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))
(+.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))
(*.f64 a d)
(+.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))
(+.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))
(+.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))
(*.f64 a d)
(+.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))
(+.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))
(+.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))
(+.f64 c d)
(+.f64 b (+.f64 c d))
(+.f64 b (+.f64 c d))
(+.f64 b (+.f64 c d))
b
(+.f64 b (+.f64 c d))
(+.f64 b (+.f64 c d))
(+.f64 b (+.f64 c d))
b
(+.f64 b (+.f64 c d))
(+.f64 b (+.f64 c d))
(+.f64 b (+.f64 c d))
(+.f64 b d)
(+.f64 b (+.f64 c d))
(+.f64 b (+.f64 c d))
(+.f64 b (+.f64 c d))
c
(+.f64 b (+.f64 c d))
(+.f64 b (+.f64 c d))
(+.f64 b (+.f64 c d))
c
(+.f64 b (+.f64 c d))
(+.f64 b (+.f64 c d))
(+.f64 b (+.f64 c d))
(+.f64 b c)
(+.f64 b (+.f64 c d))
(+.f64 b (+.f64 c d))
(+.f64 b (+.f64 c d))
d
(+.f64 b (+.f64 c d))
(+.f64 b (+.f64 c d))
(+.f64 b (+.f64 c d))
d
(+.f64 b (+.f64 c d))
(+.f64 b (+.f64 c d))
(+.f64 b (+.f64 c d))
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
(+.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))
(+.f64 0 (*.f64 a (+.f64 b (+.f64 c d))))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(+.f64 (*.f64 b a) (*.f64 (+.f64 c d) a))
(+.f64 (*.f64 (*.f64 a (+.f64 b c)) 1) (*.f64 (*.f64 a d) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (+.f64 b (+.f64 c d)))) (cbrt.f64 (pow.f64 (exp.f64 a) (+.f64 b (+.f64 c d)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (+.f64 b (+.f64 c d))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (+.f64 b (+.f64 c d))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (+.f64 b (+.f64 c d))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (+.f64 b (+.f64 c d))))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 b c)) 3) (pow.f64 (*.f64 a d) 3)) (fma.f64 (*.f64 a (+.f64 b c)) (*.f64 a (+.f64 b c)) (-.f64 (*.f64 (*.f64 a d) (*.f64 a d)) (*.f64 (*.f64 a (+.f64 b c)) (*.f64 a d)))))
(/.f64 (-.f64 (*.f64 (*.f64 a (+.f64 b c)) (*.f64 a (+.f64 b c))) (*.f64 (*.f64 a d) (*.f64 a d))) (-.f64 (*.f64 a (+.f64 b c)) (*.f64 a d)))
(/.f64 (*.f64 a (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b c) 3))) (fma.f64 d (-.f64 d (+.f64 b c)) (pow.f64 (+.f64 b c) 2)))
(/.f64 (*.f64 a (-.f64 (pow.f64 (+.f64 b c) 2) (pow.f64 d 2))) (+.f64 b (-.f64 c d)))
(/.f64 (*.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b c) 3)) a) (fma.f64 d (-.f64 d (+.f64 b c)) (pow.f64 (+.f64 b c) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 b c) 2) (pow.f64 d 2)) a) (+.f64 b (-.f64 c d)))
(pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 1)
(pow.f64 (cbrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 3)
(pow.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 2)
(sqrt.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 2))
(log.f64 (pow.f64 (exp.f64 a) (+.f64 b (+.f64 c d))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a (+.f64 b (+.f64 c d))))))
(log.f64 (*.f64 (exp.f64 (*.f64 a d)) (exp.f64 (*.f64 a (+.f64 b c)))))
(cbrt.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 3))
(cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (+.f64 b (+.f64 c d)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3)))
(expm1.f64 (log1p.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(exp.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 1))
(log1p.f64 (expm1.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(fma.f64 a b (*.f64 a (+.f64 c d)))
(fma.f64 a (+.f64 b c) (*.f64 a d))
(fma.f64 a d (*.f64 a (+.f64 b c)))
(fma.f64 b a (*.f64 (+.f64 c d) a))
(fma.f64 (+.f64 b c) a (*.f64 a d))
(fma.f64 d a (*.f64 a (+.f64 b c)))
(fma.f64 1 (*.f64 a (+.f64 b c)) (*.f64 a d))
(fma.f64 1 (*.f64 a d) (*.f64 a (+.f64 b c)))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (+.f64 b c)) (*.f64 a d))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) d) (*.f64 a (+.f64 b c)))
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (*.f64 (cbrt.f64 d) a) (*.f64 a (+.f64 b c)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b c)) 2) (*.f64 (cbrt.f64 (+.f64 b c)) a) (*.f64 a d))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (+.f64 b c)) (*.f64 a d))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) d) (*.f64 a (+.f64 b c)))
(fma.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 d) a) (*.f64 a (+.f64 b c)))
(fma.f64 (sqrt.f64 (+.f64 b c)) (*.f64 (sqrt.f64 (+.f64 b c)) a) (*.f64 a d))
(fma.f64 (*.f64 a (+.f64 b c)) 1 (*.f64 (*.f64 a d) 1))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 a (+.f64 b c))) (cbrt.f64 (*.f64 a (+.f64 b c)))) (cbrt.f64 (*.f64 a (+.f64 b c))) (*.f64 a d))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 a d)) (cbrt.f64 (*.f64 a d))) (cbrt.f64 (*.f64 a d)) (*.f64 a (+.f64 b c)))
(fma.f64 (sqrt.f64 (*.f64 a (+.f64 b c))) (sqrt.f64 (*.f64 a (+.f64 b c))) (*.f64 a d))
(fma.f64 (sqrt.f64 (*.f64 a d)) (sqrt.f64 (*.f64 a d)) (*.f64 a (+.f64 b c)))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 b c)) (sqrt.f64 a)) (*.f64 (sqrt.f64 (+.f64 b c)) (sqrt.f64 a)) (*.f64 a d))
(fma.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 b c))) (*.f64 (sqrt.f64 a) (sqrt.f64 (+.f64 b c))) (*.f64 a d))
(fma.f64 (*.f64 (sqrt.f64 d) (sqrt.f64 a)) (*.f64 (sqrt.f64 d) (sqrt.f64 a)) (*.f64 a (+.f64 b c)))
(fma.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 d)) (*.f64 (sqrt.f64 a) (sqrt.f64 d)) (*.f64 a (+.f64 b c)))
(fma.f64 (*.f64 (+.f64 b c) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 a d))
(fma.f64 (*.f64 (+.f64 b c) (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a d))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 (+.f64 b c)) 2)) (cbrt.f64 (+.f64 b c)) (*.f64 a d))
(fma.f64 (*.f64 a (sqrt.f64 (+.f64 b c))) (sqrt.f64 (+.f64 b c)) (*.f64 a d))
(fma.f64 (*.f64 d (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 a (+.f64 b c)))
(fma.f64 (*.f64 d (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a (+.f64 b c)))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 d) (*.f64 a (+.f64 b c)))
(fma.f64 (*.f64 a (sqrt.f64 d)) (sqrt.f64 d) (*.f64 a (+.f64 b c)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 b (+.f64 c d)))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 b c) 2) (+.f64 b (-.f64 c d))) (/.f64 (pow.f64 d 2) (+.f64 b (-.f64 c d))))
(*.f64 (+.f64 b (+.f64 c d)) 1)
(*.f64 1 (+.f64 b (+.f64 c d)))
(*.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2) (cbrt.f64 (+.f64 b (+.f64 c d))))
(*.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) (sqrt.f64 (+.f64 b (+.f64 c d))))
(*.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b c) 3)) (/.f64 1 (fma.f64 d (-.f64 d (+.f64 b c)) (pow.f64 (+.f64 b c) 2))))
(*.f64 (-.f64 (pow.f64 (+.f64 b c) 2) (pow.f64 d 2)) (/.f64 1 (+.f64 b (-.f64 c d))))
(/.f64 1 (/.f64 (fma.f64 d (-.f64 d (+.f64 b c)) (pow.f64 (+.f64 b c) 2)) (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b c) 3))))
(/.f64 1 (/.f64 (+.f64 b (-.f64 c d)) (-.f64 (pow.f64 (+.f64 b c) 2) (pow.f64 d 2))))
(/.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b c) 3)) (fma.f64 d (-.f64 d (+.f64 b c)) (pow.f64 (+.f64 b c) 2)))
(/.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b c) 3)) (fma.f64 d d (-.f64 (pow.f64 (+.f64 b c) 2) (*.f64 (+.f64 b c) d))))
(/.f64 (-.f64 (pow.f64 (+.f64 b c) 2) (pow.f64 d 2)) (+.f64 b (-.f64 c d)))
(/.f64 (neg.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b c) 3))) (neg.f64 (fma.f64 d (-.f64 d (+.f64 b c)) (pow.f64 (+.f64 b c) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 b c) 2) (pow.f64 d 2))) (neg.f64 (+.f64 b (-.f64 c d))))
(/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (+.f64 c d) 3)) (fma.f64 b b (-.f64 (*.f64 (+.f64 c d) (+.f64 c d)) (*.f64 b (+.f64 c d)))))
(/.f64 (-.f64 (pow.f64 b 2) (*.f64 (+.f64 c d) (+.f64 c d))) (-.f64 b (+.f64 c d)))
(/.f64 (-.f64 (pow.f64 d 2) (pow.f64 (+.f64 b c) 2)) (-.f64 d (+.f64 b c)))
(pow.f64 (+.f64 b (+.f64 c d)) 1)
(pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 3)
(pow.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) 2)
(sqrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2))
(log.f64 (exp.f64 (+.f64 b (+.f64 c d))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 b (+.f64 c d)))))
(log.f64 (*.f64 (exp.f64 b) (*.f64 (exp.f64 c) (exp.f64 d))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (*.f64 (exp.f64 c) (exp.f64 d))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (+.f64 c d))))
(log.f64 (*.f64 (exp.f64 (+.f64 b c)) (+.f64 1 (expm1.f64 d))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 b c))) (exp.f64 d)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 b c))) (+.f64 1 (expm1.f64 d))))
(log.f64 (*.f64 (exp.f64 d) (+.f64 1 (expm1.f64 (+.f64 b c)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 d)) (exp.f64 (+.f64 b c))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 d)) (+.f64 1 (expm1.f64 (+.f64 b c)))))
(log.f64 (*.f64 (*.f64 (exp.f64 c) (exp.f64 d)) (exp.f64 b)))
(log.f64 (*.f64 (*.f64 (exp.f64 c) (exp.f64 d)) (+.f64 1 (expm1.f64 b))))
(log.f64 (*.f64 (exp.f64 (+.f64 c d)) (exp.f64 b)))
(log.f64 (*.f64 (exp.f64 (+.f64 c d)) (+.f64 1 (expm1.f64 b))))
(cbrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3))
(expm1.f64 (log1p.f64 (+.f64 b (+.f64 c d))))
(exp.f64 (log.f64 (+.f64 b (+.f64 c d))))
(exp.f64 (*.f64 (log.f64 (+.f64 b (+.f64 c d))) 1))
(log1p.f64 (expm1.f64 (+.f64 b (+.f64 c d))))
(fma.f64 b 1 (+.f64 c d))
(fma.f64 b 1 (*.f64 (+.f64 c d) 1))
(fma.f64 c 1 (+.f64 b d))
(fma.f64 (+.f64 b c) 1 d)
(fma.f64 d 1 (+.f64 b c))
(fma.f64 1 b (+.f64 c d))
(fma.f64 1 b (*.f64 (+.f64 c d) 1))
(fma.f64 1 c (+.f64 b d))
(fma.f64 1 (+.f64 b c) d)
(fma.f64 1 d (+.f64 b c))
(fma.f64 1 (+.f64 c d) b)
(fma.f64 (cbrt.f64 c) (pow.f64 (cbrt.f64 c) 2) (+.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 c) (+.f64 b d))
(fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (+.f64 c d))
(fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (*.f64 (+.f64 c d) 1))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (+.f64 c d))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (*.f64 (+.f64 c d) 1))
(fma.f64 (cbrt.f64 d) (pow.f64 (cbrt.f64 d) 2) (+.f64 b c))
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (cbrt.f64 d) (+.f64 b c))
(fma.f64 (cbrt.f64 (+.f64 b c)) (pow.f64 (cbrt.f64 (+.f64 b c)) 2) d)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b c)) 2) (cbrt.f64 (+.f64 b c)) d)
(fma.f64 (sqrt.f64 c) (sqrt.f64 c) (+.f64 b d))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 c d))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (*.f64 (+.f64 c d) 1))
(fma.f64 (sqrt.f64 d) (sqrt.f64 d) (+.f64 b c))
(fma.f64 (sqrt.f64 (+.f64 b c)) (sqrt.f64 (+.f64 b c)) d)
(fma.f64 (+.f64 (pow.f64 c 3) (pow.f64 b 3)) (/.f64 1 (fma.f64 c (-.f64 c b) (pow.f64 b 2))) d)
(fma.f64 (-.f64 (pow.f64 b 2) (pow.f64 c 2)) (/.f64 1 (-.f64 b c)) d)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 c d)) (cbrt.f64 (+.f64 c d))) (cbrt.f64 (+.f64 c d)) b)
(fma.f64 (sqrt.f64 (+.f64 c d)) (sqrt.f64 (+.f64 c d)) b)
Outputs
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a b)
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 c (+.f64 b d)))
(*.f64 a (+.f64 d (+.f64 b c)))
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(+.f64 c (+.f64 b d))
(+.f64 d (+.f64 b c))
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 c) (+.f64 b d))
(+.f64 (+.f64 b c) d)
(+.f64 c (+.f64 b d))
(+.f64 d (+.f64 b c))
(fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (+.f64 c d))
(+.f64 (+.f64 b c) d)
(+.f64 c (+.f64 b d))
(+.f64 d (+.f64 b c))
(fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (*.f64 (+.f64 c d) 1))
(+.f64 (+.f64 b c) d)
(+.f64 c (+.f64 b d))
(+.f64 d (+.f64 b c))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (+.f64 c d))
(+.f64 (+.f64 b c) d)
(+.f64 c (+.f64 b d))
(+.f64 d (+.f64 b c))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (*.f64 (+.f64 c d) 1))
(+.f64 (+.f64 b c) d)
(+.f64 c (+.f64 b d))
(+.f64 d (+.f64 b c))
(fma.f64 (cbrt.f64 d) (pow.f64 (cbrt.f64 d) 2) (+.f64 b c))
(+.f64 (+.f64 b c) d)
(+.f64 c (+.f64 b d))
(+.f64 d (+.f64 b c))
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (cbrt.f64 d) (+.f64 b c))
(+.f64 (+.f64 b c) d)
(+.f64 c (+.f64 b d))
(+.f64 d (+.f64 b c))
(fma.f64 (cbrt.f64 (+.f64 b c)) (pow.f64 (cbrt.f64 (+.f64 b c)) 2) d)
(+.f64 (+.f64 b c) d)
(+.f64 c (+.f64 b d))
(+.f64 d (+.f64 b c))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b c)) 2) (cbrt.f64 (+.f64 b c)) d)
(+.f64 (+.f64 b c) d)
(+.f64 c (+.f64 b d))
(+.f64 d (+.f64 b c))
(fma.f64 (sqrt.f64 c) (sqrt.f64 c) (+.f64 b d))
(+.f64 (+.f64 b c) d)
(+.f64 c (+.f64 b d))
(+.f64 d (+.f64 b c))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 c d))
(+.f64 (+.f64 b c) d)
(+.f64 c (+.f64 b d))
(+.f64 d (+.f64 b c))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (*.f64 (+.f64 c d) 1))
(+.f64 (+.f64 b c) d)
(+.f64 c (+.f64 b d))
(+.f64 d (+.f64 b c))
(fma.f64 (sqrt.f64 d) (sqrt.f64 d) (+.f64 b c))
(+.f64 (+.f64 b c) d)
(+.f64 c (+.f64 b d))
(+.f64 d (+.f64 b c))
(fma.f64 (sqrt.f64 (+.f64 b c)) (sqrt.f64 (+.f64 b c)) d)
(+.f64 (+.f64 b c) d)
(+.f64 c (+.f64 b d))
(+.f64 d (+.f64 b c))
(fma.f64 (+.f64 (pow.f64 c 3) (pow.f64 b 3)) (/.f64 1 (fma.f64 c (-.f64 c b) (pow.f64 b 2))) d)
(fma.f64 (+.f64 (pow.f64 b 3) (pow.f64 c 3)) (/.f64 1 (fma.f64 c (-.f64 c b) (pow.f64 b 2))) d)
(+.f64 d (/.f64 (+.f64 (pow.f64 b 3) (pow.f64 c 3)) (fma.f64 c (-.f64 c b) (pow.f64 b 2))))
(fma.f64 (-.f64 (pow.f64 b 2) (pow.f64 c 2)) (/.f64 1 (-.f64 b c)) d)
(+.f64 d (/.f64 (-.f64 (pow.f64 b 2) (pow.f64 c 2)) (-.f64 b c)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 c d)) (cbrt.f64 (+.f64 c d))) (cbrt.f64 (+.f64 c d)) b)
(+.f64 (+.f64 b c) d)
(+.f64 c (+.f64 b d))
(+.f64 d (+.f64 b c))
(fma.f64 (sqrt.f64 (+.f64 c d)) (sqrt.f64 (+.f64 c d)) b)
(+.f64 (+.f64 b c) d)
(+.f64 c (+.f64 b d))
(+.f64 d (+.f64 b c))

eval36.0ms (0.9%)

Compiler

Compiled 2462 to 816 computations (66.9% saved)

prune32.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1765181
Fresh000
Picked011
Done000
Total1766182
Accuracy
100.0%
Counts
182 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 d a (*.f64 a (+.f64 b c)))
99.6%
(/.f64 a (/.f64 1 (+.f64 d (+.f64 b c))))
99.9%
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
99.9%
(*.f64 a (+.f64 (+.f64 b c) d))
99.5%
(*.f64 a (+.f64 c d))
93.0%
(*.f64 a d)
100.0%
(fma.f64 d a (*.f64 a (+.f64 b c)))
99.6%
(/.f64 a (/.f64 1 (+.f64 d (+.f64 b c))))
99.9%
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
99.9%
(*.f64 a (+.f64 (+.f64 b c) d))
99.5%
(*.f64 a (+.f64 c d))
93.0%
(*.f64 a d)
Compiler

Compiled 238 to 154 computations (35.3% saved)

localize76.0ms (2%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 d (+.f64 b c))
99.9%
(/.f64 1 (+.f64 d (+.f64 b c)))
99.6%
(/.f64 a (/.f64 1 (+.f64 d (+.f64 b c))))
99.9%
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
99.9%
(*.f64 a (+.f64 b c))
100.0%
(*.f64 a (+.f64 c d))
99.9%
(*.f64 a (+.f64 b c))
Compiler

Compiled 94 to 19 computations (79.8% saved)

series14.0ms (0.4%)

Counts
7 → 240
Calls

69 calls:

TimeVariablePointExpression
2.0ms
a
@inf
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
1.0ms
a
@0
(*.f64 a (+.f64 b c))
0.0ms
c
@0
(/.f64 1 (+.f64 d (+.f64 b c)))
0.0ms
d
@inf
(/.f64 1 (+.f64 d (+.f64 b c)))
0.0ms
a
@0
(*.f64 a (+.f64 c d))

rewrite139.0ms (3.6%)

Algorithm
batch-egg-rewrite
Rules
1164×log1p-expm1-u
560×expm1-udef
560×log1p-udef
266×associate-*r*
172×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021178
1335178
25260178
Stop Event
node limit
Counts
7 → 275
Calls
Call 1
Inputs
(*.f64 a (+.f64 b c))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 b c))
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
(/.f64 a (/.f64 1 (+.f64 d (+.f64 b c))))
(/.f64 1 (+.f64 d (+.f64 b c)))
(+.f64 d (+.f64 b c))
Outputs
(+.f64 (*.f64 a c) (*.f64 a b))
(+.f64 (*.f64 a b) (*.f64 a c))
(+.f64 (*.f64 (*.f64 a b) 1) (*.f64 (*.f64 a c) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (+.f64 b c)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 a b) 3) (pow.f64 (*.f64 a c) 3)) (+.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (-.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 (*.f64 a b) (*.f64 a c)))))
(/.f64 (-.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 (*.f64 a c) (*.f64 a c))) (-.f64 (*.f64 a b) (*.f64 a c)))
(/.f64 (*.f64 a (+.f64 (pow.f64 b 3) (pow.f64 c 3))) (fma.f64 b b (*.f64 c (-.f64 c b))))
(/.f64 (*.f64 a (-.f64 (pow.f64 b 2) (pow.f64 c 2))) (-.f64 b c))
(/.f64 (*.f64 (+.f64 (pow.f64 b 3) (pow.f64 c 3)) a) (fma.f64 b b (*.f64 c (-.f64 c b))))
(/.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 c 2)) a) (-.f64 b c))
(pow.f64 (*.f64 a (+.f64 b c)) 1)
(pow.f64 (cbrt.f64 (*.f64 a (+.f64 b c))) 3)
(pow.f64 (pow.f64 (*.f64 a (+.f64 b c)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 a (+.f64 b c))) 2)
(sqrt.f64 (pow.f64 (*.f64 a (+.f64 b c)) 2))
(log.f64 (pow.f64 (exp.f64 a) (+.f64 b c)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a (+.f64 b c)))))
(cbrt.f64 (pow.f64 (*.f64 a (+.f64 b c)) 3))
(expm1.f64 (log1p.f64 (*.f64 a (+.f64 b c))))
(exp.f64 (log.f64 (*.f64 a (+.f64 b c))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (+.f64 b c))) 1))
(log1p.f64 (expm1.f64 (*.f64 a (+.f64 b c))))
(fma.f64 a b (*.f64 a c))
(fma.f64 b a (*.f64 a c))
(+.f64 (*.f64 a d) (*.f64 a c))
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 (*.f64 a c) 1) (*.f64 a d))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (+.f64 c d)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 a d) 3)) (+.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (-.f64 (pow.f64 (*.f64 a d) 2) (*.f64 (*.f64 a c) (*.f64 a d)))))
(/.f64 (-.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (pow.f64 (*.f64 a d) 2)) (-.f64 (*.f64 a c) (*.f64 a d)))
(/.f64 (*.f64 a (+.f64 (pow.f64 c 3) (pow.f64 d 3))) (fma.f64 c c (*.f64 d (-.f64 d c))))
(/.f64 (*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2))) (-.f64 c d))
(/.f64 (*.f64 (+.f64 (pow.f64 c 3) (pow.f64 d 3)) a) (fma.f64 c c (*.f64 d (-.f64 d c))))
(/.f64 (*.f64 (-.f64 (pow.f64 c 2) (pow.f64 d 2)) a) (-.f64 c d))
(pow.f64 (*.f64 a (+.f64 c d)) 1)
(pow.f64 (cbrt.f64 (*.f64 a (+.f64 c d))) 3)
(pow.f64 (pow.f64 (*.f64 a (+.f64 c d)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 a (+.f64 c d))) 2)
(sqrt.f64 (pow.f64 (*.f64 a (+.f64 c d)) 2))
(log.f64 (pow.f64 (exp.f64 a) (+.f64 c d)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a (+.f64 c d)))))
(cbrt.f64 (pow.f64 (*.f64 a (+.f64 c d)) 3))
(cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (+.f64 c d) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3)))
(expm1.f64 (log1p.f64 (*.f64 a (+.f64 c d))))
(exp.f64 (log.f64 (*.f64 a (+.f64 c d))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (+.f64 c d))) 1))
(log1p.f64 (expm1.f64 (*.f64 a (+.f64 c d))))
(fma.f64 a c (*.f64 a d))
(fma.f64 c a (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a b))
(+.f64 (*.f64 a b) (*.f64 a c))
(+.f64 (*.f64 (*.f64 a b) 1) (*.f64 (*.f64 a c) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (+.f64 b c)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 a b) 3) (pow.f64 (*.f64 a c) 3)) (+.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (-.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 (*.f64 a b) (*.f64 a c)))))
(/.f64 (-.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 (*.f64 a c) (*.f64 a c))) (-.f64 (*.f64 a b) (*.f64 a c)))
(/.f64 (*.f64 a (+.f64 (pow.f64 b 3) (pow.f64 c 3))) (fma.f64 b b (*.f64 c (-.f64 c b))))
(/.f64 (*.f64 a (-.f64 (pow.f64 b 2) (pow.f64 c 2))) (-.f64 b c))
(/.f64 (*.f64 (+.f64 (pow.f64 b 3) (pow.f64 c 3)) a) (fma.f64 b b (*.f64 c (-.f64 c b))))
(/.f64 (*.f64 (-.f64 (pow.f64 b 2) (pow.f64 c 2)) a) (-.f64 b c))
(pow.f64 (*.f64 a (+.f64 b c)) 1)
(pow.f64 (cbrt.f64 (*.f64 a (+.f64 b c))) 3)
(pow.f64 (pow.f64 (*.f64 a (+.f64 b c)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 a (+.f64 b c))) 2)
(sqrt.f64 (pow.f64 (*.f64 a (+.f64 b c)) 2))
(log.f64 (pow.f64 (exp.f64 a) (+.f64 b c)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a (+.f64 b c)))))
(cbrt.f64 (pow.f64 (*.f64 a (+.f64 b c)) 3))
(expm1.f64 (log1p.f64 (*.f64 a (+.f64 b c))))
(exp.f64 (log.f64 (*.f64 a (+.f64 b c))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (+.f64 b c))) 1))
(log1p.f64 (expm1.f64 (*.f64 a (+.f64 b c))))
(fma.f64 a b (*.f64 a c))
(fma.f64 b a (*.f64 a c))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (+.f64 b (+.f64 c d))))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 a (+.f64 b c)) 2) (*.f64 a (-.f64 (+.f64 b c) d))) (/.f64 (pow.f64 (*.f64 a d) 2) (*.f64 a (-.f64 (+.f64 b c) d))))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 (*.f64 a (+.f64 b (+.f64 c d))) 1)
(*.f64 1 (*.f64 a (+.f64 b (+.f64 c d))))
(*.f64 (+.f64 b (+.f64 c d)) a)
(*.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (+.f64 b (+.f64 c d))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 2) (cbrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(*.f64 (cbrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) (pow.f64 (cbrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 2))
(*.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (+.f64 b (+.f64 c d))))
(*.f64 (sqrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) (sqrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(*.f64 (neg.f64 a) (/.f64 1 (/.f64 -1 (+.f64 b (+.f64 c d)))))
(*.f64 (+.f64 (pow.f64 (*.f64 a d) 3) (pow.f64 (*.f64 a (+.f64 b c)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 a (+.f64 b c)) 2) (*.f64 (*.f64 a d) (-.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 a (+.f64 b c)) 2) (pow.f64 (*.f64 a d) 2)) (/.f64 1 (*.f64 a (-.f64 (+.f64 b c) d))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) -2))) (/.f64 a (cbrt.f64 (/.f64 1 (+.f64 b (+.f64 c d))))))
(*.f64 (/.f64 1 (pow.f64 (+.f64 b (+.f64 c d)) -1/2)) (/.f64 a (pow.f64 (+.f64 b (+.f64 c d)) -1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (/.f64 1 (+.f64 b (+.f64 c d)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) -2))) (cbrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (+.f64 b (+.f64 c d)) -1/2)) (/.f64 (cbrt.f64 a) (pow.f64 (+.f64 b (+.f64 c d)) -1/2)))
(*.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (/.f64 1 (+.f64 b (+.f64 c d)))))
(*.f64 (/.f64 (sqrt.f64 a) (cbrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) -2))) (/.f64 (sqrt.f64 a) (cbrt.f64 (/.f64 1 (+.f64 b (+.f64 c d))))))
(*.f64 (*.f64 a (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2)) (cbrt.f64 (+.f64 b (+.f64 c d))))
(*.f64 (*.f64 a (sqrt.f64 (+.f64 b (+.f64 c d)))) (sqrt.f64 (+.f64 b (+.f64 c d))))
(*.f64 (/.f64 a -1) (neg.f64 (+.f64 b (+.f64 c d))))
(/.f64 a (/.f64 1 (+.f64 b (+.f64 c d))))
(/.f64 (*.f64 a (+.f64 b (+.f64 c d))) 1)
(/.f64 1 (/.f64 1 (*.f64 a (+.f64 b (+.f64 c d)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 b c)) 2) (*.f64 (*.f64 a d) (-.f64 (*.f64 a d) (*.f64 a (+.f64 b c))))) (+.f64 (pow.f64 (*.f64 a d) 3) (pow.f64 (*.f64 a (+.f64 b c)) 3))))
(/.f64 1 (/.f64 (*.f64 a (-.f64 (+.f64 b c) d)) (-.f64 (pow.f64 (*.f64 a (+.f64 b c)) 2) (pow.f64 (*.f64 a d) 2))))
(/.f64 1 (/.f64 (/.f64 1 (*.f64 a (+.f64 b (+.f64 c d)))) 1))
(/.f64 -1 (neg.f64 (/.f64 1 (*.f64 a (+.f64 b (+.f64 c d))))))
(/.f64 (pow.f64 (cbrt.f64 a) 2) (/.f64 (/.f64 1 (+.f64 b (+.f64 c d))) (cbrt.f64 a)))
(/.f64 (sqrt.f64 a) (/.f64 (/.f64 1 (+.f64 b (+.f64 c d))) (sqrt.f64 a)))
(/.f64 (neg.f64 a) (/.f64 -1 (+.f64 b (+.f64 c d))))
(/.f64 (+.f64 (pow.f64 (*.f64 a d) 3) (pow.f64 (*.f64 a (+.f64 b c)) 3)) (+.f64 (pow.f64 (*.f64 a (+.f64 b c)) 2) (*.f64 (*.f64 a d) (-.f64 (*.f64 a d) (*.f64 a (+.f64 b c))))))
(/.f64 (+.f64 (pow.f64 (*.f64 a d) 3) (pow.f64 (*.f64 a (+.f64 b c)) 3)) (+.f64 (pow.f64 (*.f64 a d) 2) (-.f64 (pow.f64 (*.f64 a (+.f64 b c)) 2) (*.f64 (+.f64 b c) (*.f64 a (*.f64 a d))))))
(/.f64 (-.f64 (pow.f64 (*.f64 a (+.f64 b c)) 2) (pow.f64 (*.f64 a d) 2)) (*.f64 a (-.f64 (+.f64 b c) d)))
(/.f64 (*.f64 a (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b c) 3))) (fma.f64 d d (*.f64 (+.f64 b c) (-.f64 (+.f64 b c) d))))
(/.f64 (*.f64 a (-.f64 (pow.f64 d 2) (pow.f64 (+.f64 b c) 2))) (-.f64 (-.f64 d c) b))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 a d) 3) (pow.f64 (*.f64 a (+.f64 b c)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 b c)) 2) (*.f64 (*.f64 a d) (-.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a (+.f64 b c)) 2) (pow.f64 (*.f64 a d) 2))) (neg.f64 (*.f64 a (-.f64 (+.f64 b c) d))))
(/.f64 (neg.f64 (neg.f64 a)) (neg.f64 (/.f64 -1 (+.f64 b (+.f64 c d)))))
(/.f64 (/.f64 a (pow.f64 (+.f64 b (+.f64 c d)) -1/2)) (pow.f64 (+.f64 b (+.f64 c d)) -1/2))
(/.f64 (-.f64 (pow.f64 (*.f64 a d) 2) (pow.f64 (*.f64 a (+.f64 b c)) 2)) (-.f64 (*.f64 a d) (*.f64 a (+.f64 b c))))
(/.f64 (/.f64 a (cbrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) -2))) (cbrt.f64 (/.f64 1 (+.f64 b (+.f64 c d)))))
(pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 1)
(pow.f64 (cbrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 3)
(pow.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 2)
(pow.f64 (/.f64 1 (*.f64 a (+.f64 b (+.f64 c d)))) -1)
(neg.f64 (/.f64 a (/.f64 -1 (+.f64 b (+.f64 c d)))))
(sqrt.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 2))
(log.f64 (pow.f64 (exp.f64 a) (+.f64 b (+.f64 c d))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a (+.f64 b (+.f64 c d))))))
(cbrt.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 3))
(cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (+.f64 b (+.f64 c d)) 3)))
(cbrt.f64 (/.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (+.f64 b (+.f64 c d))) 3)))
(expm1.f64 (log1p.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(exp.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 1))
(log1p.f64 (expm1.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(fma.f64 a (+.f64 b c) (*.f64 a d))
(fma.f64 a d (*.f64 a (+.f64 b c)))
(fma.f64 (+.f64 b c) a (*.f64 a d))
(fma.f64 d a (*.f64 a (+.f64 b c)))
(fma.f64 1 (*.f64 a (+.f64 b c)) (*.f64 a d))
(fma.f64 1 (*.f64 a d) (*.f64 a (+.f64 b c)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a d)) 2) (cbrt.f64 (*.f64 a d)) (*.f64 a (+.f64 b c)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 b c))) 2) (cbrt.f64 (*.f64 a (+.f64 b c))) (*.f64 a d))
(fma.f64 (sqrt.f64 (*.f64 a d)) (sqrt.f64 (*.f64 a d)) (*.f64 a (+.f64 b c)))
(fma.f64 (sqrt.f64 (*.f64 a (+.f64 b c))) (sqrt.f64 (*.f64 a (+.f64 b c))) (*.f64 a d))
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
(+.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(+.f64 (*.f64 a (+.f64 b d)) (*.f64 a c))
(+.f64 (*.f64 (+.f64 b d) a) (*.f64 a c))
(+.f64 (+.f64 (*.f64 a d) (*.f64 a b)) (*.f64 a c))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (+.f64 b (+.f64 c d))))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 a (+.f64 b c)) 2) (*.f64 a (-.f64 (+.f64 b c) d))) (/.f64 (pow.f64 (*.f64 a d) 2) (*.f64 a (-.f64 (+.f64 b c) d))))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 (*.f64 a (+.f64 b (+.f64 c d))) 1)
(*.f64 1 (*.f64 a (+.f64 b (+.f64 c d))))
(*.f64 (+.f64 b (+.f64 c d)) a)
(*.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (+.f64 b (+.f64 c d))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 2) (cbrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(*.f64 (cbrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) (pow.f64 (cbrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 2))
(*.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (+.f64 b (+.f64 c d))))
(*.f64 (sqrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) (sqrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(*.f64 (neg.f64 a) (/.f64 1 (/.f64 -1 (+.f64 b (+.f64 c d)))))
(*.f64 (+.f64 (pow.f64 (*.f64 a d) 3) (pow.f64 (*.f64 a (+.f64 b c)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 a (+.f64 b c)) 2) (*.f64 (*.f64 a d) (-.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 a (+.f64 b c)) 2) (pow.f64 (*.f64 a d) 2)) (/.f64 1 (*.f64 a (-.f64 (+.f64 b c) d))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) -2))) (/.f64 a (cbrt.f64 (/.f64 1 (+.f64 b (+.f64 c d))))))
(*.f64 (/.f64 1 (pow.f64 (+.f64 b (+.f64 c d)) -1/2)) (/.f64 a (pow.f64 (+.f64 b (+.f64 c d)) -1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (/.f64 1 (+.f64 b (+.f64 c d)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) -2))) (cbrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (+.f64 b (+.f64 c d)) -1/2)) (/.f64 (cbrt.f64 a) (pow.f64 (+.f64 b (+.f64 c d)) -1/2)))
(*.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (/.f64 1 (+.f64 b (+.f64 c d)))))
(*.f64 (/.f64 (sqrt.f64 a) (cbrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) -2))) (/.f64 (sqrt.f64 a) (cbrt.f64 (/.f64 1 (+.f64 b (+.f64 c d))))))
(*.f64 (*.f64 a (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2)) (cbrt.f64 (+.f64 b (+.f64 c d))))
(*.f64 (*.f64 a (sqrt.f64 (+.f64 b (+.f64 c d)))) (sqrt.f64 (+.f64 b (+.f64 c d))))
(*.f64 (/.f64 a -1) (neg.f64 (+.f64 b (+.f64 c d))))
(pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 1)
(pow.f64 (cbrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 3)
(pow.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 2)
(pow.f64 (/.f64 1 (*.f64 a (+.f64 b (+.f64 c d)))) -1)
(neg.f64 (/.f64 a (/.f64 -1 (+.f64 b (+.f64 c d)))))
(sqrt.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 2))
(log.f64 (pow.f64 (exp.f64 a) (+.f64 b (+.f64 c d))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a (+.f64 b (+.f64 c d))))))
(cbrt.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 3))
(cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (+.f64 b (+.f64 c d)) 3)))
(cbrt.f64 (/.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (+.f64 b (+.f64 c d))) 3)))
(expm1.f64 (log1p.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(exp.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 1))
(log1p.f64 (expm1.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(fma.f64 a (+.f64 b c) (*.f64 a d))
(fma.f64 a d (*.f64 a (+.f64 b c)))
(fma.f64 (+.f64 b c) a (*.f64 a d))
(fma.f64 d a (*.f64 a (+.f64 b c)))
(fma.f64 1 (*.f64 a (+.f64 b c)) (*.f64 a d))
(fma.f64 1 (*.f64 a d) (*.f64 a (+.f64 b c)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a d)) 2) (cbrt.f64 (*.f64 a d)) (*.f64 a (+.f64 b c)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 b c))) 2) (cbrt.f64 (*.f64 a (+.f64 b c))) (*.f64 a d))
(fma.f64 (sqrt.f64 (*.f64 a d)) (sqrt.f64 (*.f64 a d)) (*.f64 a (+.f64 b c)))
(fma.f64 (sqrt.f64 (*.f64 a (+.f64 b c))) (sqrt.f64 (*.f64 a (+.f64 b c))) (*.f64 a d))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 b (+.f64 c d))))) 1)
(*.f64 1 (/.f64 1 (+.f64 b (+.f64 c d))))
(*.f64 (/.f64 1 (+.f64 b (+.f64 c d))) 1)
(*.f64 -1 (/.f64 -1 (+.f64 b (+.f64 c d))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 b (+.f64 c d)))) (cbrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) -2)) (cbrt.f64 (/.f64 1 (+.f64 b (+.f64 c d)))))
(*.f64 (pow.f64 (+.f64 b (+.f64 c d)) -1/2) (pow.f64 (+.f64 b (+.f64 c d)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) -1) (pow.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b c) 3))) (fma.f64 d d (*.f64 (+.f64 b c) (-.f64 (+.f64 b c) d))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 d 2) (pow.f64 (+.f64 b c) 2))) (-.f64 (-.f64 d c) b))
(pow.f64 (+.f64 b (+.f64 c d)) -1)
(pow.f64 (/.f64 1 (+.f64 b (+.f64 c d))) 1)
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 b (+.f64 c d)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 b (+.f64 c d))) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 b (+.f64 c d)) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 b (+.f64 c d)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 b (+.f64 c d))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 b (+.f64 c d))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 b (+.f64 c d)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 b (+.f64 c d)))))
(exp.f64 (*.f64 (log.f64 (+.f64 b (+.f64 c d))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 b (+.f64 c d)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 b (+.f64 c d)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 b (+.f64 c d)))) 1)
(-.f64 (/.f64 (pow.f64 d 2) (-.f64 (-.f64 d c) b)) (/.f64 (pow.f64 (+.f64 b c) 2) (-.f64 (-.f64 d c) b)))
(*.f64 1 (+.f64 b (+.f64 c d)))
(*.f64 (+.f64 b (+.f64 c d)) 1)
(*.f64 -1 (neg.f64 (+.f64 b (+.f64 c d))))
(*.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2) (cbrt.f64 (+.f64 b (+.f64 c d))))
(*.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) (sqrt.f64 (+.f64 b (+.f64 c d))))
(*.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b c) 3)) (/.f64 1 (fma.f64 d d (*.f64 (+.f64 b c) (-.f64 (+.f64 b c) d)))))
(*.f64 (-.f64 (pow.f64 d 2) (pow.f64 (+.f64 b c) 2)) (/.f64 1 (-.f64 (-.f64 d c) b)))
(/.f64 1 (/.f64 1 (+.f64 b (+.f64 c d))))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 b (+.f64 c d))) 1))
(/.f64 1 (/.f64 (fma.f64 d d (*.f64 (+.f64 b c) (-.f64 (+.f64 b c) d))) (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b c) 3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 d c) b) (-.f64 (pow.f64 d 2) (pow.f64 (+.f64 b c) 2))))
(/.f64 (+.f64 b (+.f64 c d)) 1)
(/.f64 -1 (/.f64 -1 (+.f64 b (+.f64 c d))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2) (cbrt.f64 (/.f64 1 (+.f64 b (+.f64 c d)))))
(/.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) (pow.f64 (+.f64 b (+.f64 c d)) -1/2))
(/.f64 (neg.f64 (+.f64 b (+.f64 c d))) -1)
(/.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b c) 3)) (fma.f64 d d (*.f64 (+.f64 b c) (-.f64 (+.f64 b c) d))))
(/.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b c) 3)) (+.f64 (pow.f64 (+.f64 b c) 2) (-.f64 (pow.f64 d 2) (*.f64 (+.f64 b c) d))))
(/.f64 (-.f64 (pow.f64 d 2) (pow.f64 (+.f64 b c) 2)) (-.f64 (-.f64 d c) b))
(/.f64 (neg.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b c) 3))) (neg.f64 (fma.f64 d d (*.f64 (+.f64 b c) (-.f64 (+.f64 b c) d)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 d 2) (pow.f64 (+.f64 b c) 2))) (neg.f64 (-.f64 (-.f64 d c) b)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) -2))) (cbrt.f64 (/.f64 1 (+.f64 b (+.f64 c d)))))
(/.f64 (/.f64 1 (pow.f64 (+.f64 b (+.f64 c d)) -1/2)) (pow.f64 (+.f64 b (+.f64 c d)) -1/2))
(/.f64 (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 c 3)) (+.f64 (*.f64 (+.f64 b d) (+.f64 b d)) (-.f64 (pow.f64 c 2) (*.f64 (+.f64 b d) c))))
(/.f64 (-.f64 (pow.f64 (+.f64 b c) 2) (pow.f64 d 2)) (-.f64 (+.f64 b c) d))
(/.f64 (-.f64 (*.f64 (+.f64 b d) (+.f64 b d)) (pow.f64 c 2)) (-.f64 (+.f64 b d) c))
(pow.f64 (+.f64 b (+.f64 c d)) 1)
(pow.f64 (/.f64 1 (+.f64 b (+.f64 c d))) -1)
(pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 3)
(pow.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) 2)
(sqrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2))
(log.f64 (exp.f64 (+.f64 b (+.f64 c d))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 b (+.f64 c d)))))
(cbrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3))
(expm1.f64 (log1p.f64 (+.f64 b (+.f64 c d))))
(exp.f64 (log.f64 (+.f64 b (+.f64 c d))))
(exp.f64 (*.f64 (log.f64 (+.f64 b (+.f64 c d))) 1))
(exp.f64 (neg.f64 (neg.f64 (log.f64 (+.f64 b (+.f64 c d))))))
(log1p.f64 (expm1.f64 (+.f64 b (+.f64 c d))))
(fma.f64 1 (+.f64 b c) d)
(fma.f64 1 d (+.f64 b c))
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (cbrt.f64 d) (+.f64 b c))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b c)) 2) (cbrt.f64 (+.f64 b c)) d)
(fma.f64 (sqrt.f64 d) (sqrt.f64 d) (+.f64 b c))
(fma.f64 (sqrt.f64 (+.f64 b c)) (sqrt.f64 (+.f64 b c)) d)

simplify215.0ms (5.6%)

Algorithm
egg-herbie
Rules
932×log-prod
826×fma-neg
646×associate-*r*
582×fma-def
572×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053318447
1139818122
2610818122
Stop Event
node limit
Counts
515 → 356
Calls
Call 1
Inputs
(*.f64 a c)
(+.f64 (*.f64 a b) (*.f64 a c))
(+.f64 (*.f64 a b) (*.f64 a c))
(+.f64 (*.f64 a b) (*.f64 a c))
(*.f64 a b)
(+.f64 (*.f64 a b) (*.f64 a c))
(+.f64 (*.f64 a b) (*.f64 a c))
(+.f64 (*.f64 a b) (*.f64 a c))
(*.f64 a b)
(+.f64 (*.f64 a b) (*.f64 a c))
(+.f64 (*.f64 a b) (*.f64 a c))
(+.f64 (*.f64 a b) (*.f64 a c))
(*.f64 a b)
(+.f64 (*.f64 a b) (*.f64 a c))
(+.f64 (*.f64 a b) (*.f64 a c))
(+.f64 (*.f64 a b) (*.f64 a c))
(*.f64 a c)
(+.f64 (*.f64 a b) (*.f64 a c))
(+.f64 (*.f64 a b) (*.f64 a c))
(+.f64 (*.f64 a b) (*.f64 a c))
(*.f64 a c)
(+.f64 (*.f64 a b) (*.f64 a c))
(+.f64 (*.f64 a b) (*.f64 a c))
(+.f64 (*.f64 a b) (*.f64 a c))
(*.f64 a d)
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a c)
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a c)
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a c)
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a d)
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a d)
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a c)
(+.f64 (*.f64 a b) (*.f64 a c))
(+.f64 (*.f64 a b) (*.f64 a c))
(+.f64 (*.f64 a b) (*.f64 a c))
(*.f64 a b)
(+.f64 (*.f64 a b) (*.f64 a c))
(+.f64 (*.f64 a b) (*.f64 a c))
(+.f64 (*.f64 a b) (*.f64 a c))
(*.f64 a b)
(+.f64 (*.f64 a b) (*.f64 a c))
(+.f64 (*.f64 a b) (*.f64 a c))
(+.f64 (*.f64 a b) (*.f64 a c))
(*.f64 a b)
(+.f64 (*.f64 a b) (*.f64 a c))
(+.f64 (*.f64 a b) (*.f64 a c))
(+.f64 (*.f64 a b) (*.f64 a c))
(*.f64 a c)
(+.f64 (*.f64 a b) (*.f64 a c))
(+.f64 (*.f64 a b) (*.f64 a c))
(+.f64 (*.f64 a b) (*.f64 a c))
(*.f64 a c)
(+.f64 (*.f64 a b) (*.f64 a c))
(+.f64 (*.f64 a b) (*.f64 a c))
(+.f64 (*.f64 a b) (*.f64 a c))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 -1 (*.f64 a (+.f64 (*.f64 -1 d) (*.f64 -1 (+.f64 b c)))))
(*.f64 -1 (*.f64 a (+.f64 (*.f64 -1 d) (*.f64 -1 (+.f64 b c)))))
(*.f64 -1 (*.f64 a (+.f64 (*.f64 -1 d) (*.f64 -1 (+.f64 b c)))))
(*.f64 -1 (*.f64 a (+.f64 (*.f64 -1 d) (*.f64 -1 (+.f64 b c)))))
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a c) (*.f64 a d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a c) (*.f64 a d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a c) (*.f64 a d)))
(*.f64 a b)
(+.f64 (*.f64 a b) (+.f64 (*.f64 a c) (*.f64 a d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a c) (*.f64 a d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a c) (*.f64 a d)))
(*.f64 a b)
(+.f64 (*.f64 a b) (+.f64 (*.f64 a c) (*.f64 a d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a c) (*.f64 a d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a c) (*.f64 a d)))
(+.f64 (*.f64 a b) (*.f64 a d))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a c) (*.f64 a d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a c) (*.f64 a d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a c) (*.f64 a d)))
(*.f64 a c)
(+.f64 (*.f64 a b) (+.f64 (*.f64 a c) (*.f64 a d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a c) (*.f64 a d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a c) (*.f64 a d)))
(*.f64 a c)
(+.f64 (*.f64 a b) (+.f64 (*.f64 a c) (*.f64 a d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a c) (*.f64 a d)))
(+.f64 (*.f64 a b) (+.f64 (*.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b c))
(+.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))
(+.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))
(+.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))
(*.f64 a d)
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(/.f64 (+.f64 (pow.f64 (*.f64 a d) 3) (pow.f64 (*.f64 a (+.f64 b c)) 3)) (+.f64 (pow.f64 (*.f64 a d) 2) (-.f64 (pow.f64 (*.f64 a (+.f64 b c)) 2) (*.f64 (+.f64 b c) (*.f64 a (*.f64 a d))))))
(/.f64 (-.f64 (pow.f64 (*.f64 a (+.f64 b c)) 2) (pow.f64 (*.f64 a d) 2)) (*.f64 a (-.f64 (+.f64 b c) d)))
(/.f64 (*.f64 a (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b c) 3))) (fma.f64 d d (*.f64 (+.f64 b c) (-.f64 (+.f64 b c) d))))
(/.f64 (*.f64 a (-.f64 (pow.f64 d 2) (pow.f64 (+.f64 b c) 2))) (-.f64 (-.f64 d c) b))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 a d) 3) (pow.f64 (*.f64 a (+.f64 b c)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 a (+.f64 b c)) 2) (*.f64 (*.f64 a d) (-.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a (+.f64 b c)) 2) (pow.f64 (*.f64 a d) 2))) (neg.f64 (*.f64 a (-.f64 (+.f64 b c) d))))
(/.f64 (neg.f64 (neg.f64 a)) (neg.f64 (/.f64 -1 (+.f64 b (+.f64 c d)))))
(/.f64 (/.f64 a (pow.f64 (+.f64 b (+.f64 c d)) -1/2)) (pow.f64 (+.f64 b (+.f64 c d)) -1/2))
(/.f64 (-.f64 (pow.f64 (*.f64 a d) 2) (pow.f64 (*.f64 a (+.f64 b c)) 2)) (-.f64 (*.f64 a d) (*.f64 a (+.f64 b c))))
(/.f64 (/.f64 a (cbrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) -2))) (cbrt.f64 (/.f64 1 (+.f64 b (+.f64 c d)))))
(pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 1)
(pow.f64 (cbrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 3)
(pow.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 2)
(pow.f64 (/.f64 1 (*.f64 a (+.f64 b (+.f64 c d)))) -1)
(neg.f64 (/.f64 a (/.f64 -1 (+.f64 b (+.f64 c d)))))
(sqrt.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 2))
(log.f64 (pow.f64 (exp.f64 a) (+.f64 b (+.f64 c d))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a (+.f64 b (+.f64 c d))))))
(cbrt.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 3))
(cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (+.f64 b (+.f64 c d)) 3)))
(cbrt.f64 (/.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (+.f64 b (+.f64 c d))) 3)))
(expm1.f64 (log1p.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(exp.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 1))
(log1p.f64 (expm1.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(fma.f64 a (+.f64 b c) (*.f64 a d))
(fma.f64 a d (*.f64 a (+.f64 b c)))
(fma.f64 (+.f64 b c) a (*.f64 a d))
(fma.f64 d a (*.f64 a (+.f64 b c)))
(fma.f64 1 (*.f64 a (+.f64 b c)) (*.f64 a d))
(fma.f64 1 (*.f64 a d) (*.f64 a (+.f64 b c)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a d)) 2) (cbrt.f64 (*.f64 a d)) (*.f64 a (+.f64 b c)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 b c))) 2) (cbrt.f64 (*.f64 a (+.f64 b c))) (*.f64 a d))
(fma.f64 (sqrt.f64 (*.f64 a d)) (sqrt.f64 (*.f64 a d)) (*.f64 a (+.f64 b c)))
(fma.f64 (sqrt.f64 (*.f64 a (+.f64 b c))) (sqrt.f64 (*.f64 a (+.f64 b c))) (*.f64 a d))
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
(+.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))
(+.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))
(+.f64 (*.f64 a (+.f64 b d)) (*.f64 a c))
(+.f64 (*.f64 (+.f64 b d) a) (*.f64 a c))
(+.f64 (+.f64 (*.f64 a d) (*.f64 a b)) (*.f64 a c))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (+.f64 b (+.f64 c d))))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 a (+.f64 b c)) 2) (*.f64 a (-.f64 (+.f64 b c) d))) (/.f64 (pow.f64 (*.f64 a d) 2) (*.f64 a (-.f64 (+.f64 b c) d))))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 (*.f64 a (+.f64 b (+.f64 c d))) 1)
(*.f64 1 (*.f64 a (+.f64 b (+.f64 c d))))
(*.f64 (+.f64 b (+.f64 c d)) a)
(*.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (+.f64 b (+.f64 c d))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 2) (cbrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(*.f64 (cbrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) (pow.f64 (cbrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 2))
(*.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (+.f64 b (+.f64 c d))))
(*.f64 (sqrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) (sqrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(*.f64 (neg.f64 a) (/.f64 1 (/.f64 -1 (+.f64 b (+.f64 c d)))))
(*.f64 (+.f64 (pow.f64 (*.f64 a d) 3) (pow.f64 (*.f64 a (+.f64 b c)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 a (+.f64 b c)) 2) (*.f64 (*.f64 a d) (-.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 a (+.f64 b c)) 2) (pow.f64 (*.f64 a d) 2)) (/.f64 1 (*.f64 a (-.f64 (+.f64 b c) d))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) -2))) (/.f64 a (cbrt.f64 (/.f64 1 (+.f64 b (+.f64 c d))))))
(*.f64 (/.f64 1 (pow.f64 (+.f64 b (+.f64 c d)) -1/2)) (/.f64 a (pow.f64 (+.f64 b (+.f64 c d)) -1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (/.f64 1 (+.f64 b (+.f64 c d)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) -2))) (cbrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (+.f64 b (+.f64 c d)) -1/2)) (/.f64 (cbrt.f64 a) (pow.f64 (+.f64 b (+.f64 c d)) -1/2)))
(*.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (/.f64 1 (+.f64 b (+.f64 c d)))))
(*.f64 (/.f64 (sqrt.f64 a) (cbrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) -2))) (/.f64 (sqrt.f64 a) (cbrt.f64 (/.f64 1 (+.f64 b (+.f64 c d))))))
(*.f64 (*.f64 a (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2)) (cbrt.f64 (+.f64 b (+.f64 c d))))
(*.f64 (*.f64 a (sqrt.f64 (+.f64 b (+.f64 c d)))) (sqrt.f64 (+.f64 b (+.f64 c d))))
(*.f64 (/.f64 a -1) (neg.f64 (+.f64 b (+.f64 c d))))
(pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 1)
(pow.f64 (cbrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 3)
(pow.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 2)
(pow.f64 (/.f64 1 (*.f64 a (+.f64 b (+.f64 c d)))) -1)
(neg.f64 (/.f64 a (/.f64 -1 (+.f64 b (+.f64 c d)))))
(sqrt.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 2))
(log.f64 (pow.f64 (exp.f64 a) (+.f64 b (+.f64 c d))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a (+.f64 b (+.f64 c d))))))
(cbrt.f64 (pow.f64 (*.f64 a (+.f64 b (+.f64 c d))) 3))
(cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (+.f64 b (+.f64 c d)) 3)))
(cbrt.f64 (/.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (+.f64 b (+.f64 c d))) 3)))
(expm1.f64 (log1p.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(exp.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 1))
(log1p.f64 (expm1.f64 (*.f64 a (+.f64 b (+.f64 c d)))))
(fma.f64 a (+.f64 b c) (*.f64 a d))
(fma.f64 a d (*.f64 a (+.f64 b c)))
(fma.f64 (+.f64 b c) a (*.f64 a d))
(fma.f64 d a (*.f64 a (+.f64 b c)))
(fma.f64 1 (*.f64 a (+.f64 b c)) (*.f64 a d))
(fma.f64 1 (*.f64 a d) (*.f64 a (+.f64 b c)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a d)) 2) (cbrt.f64 (*.f64 a d)) (*.f64 a (+.f64 b c)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 b c))) 2) (cbrt.f64 (*.f64 a (+.f64 b c))) (*.f64 a d))
(fma.f64 (sqrt.f64 (*.f64 a d)) (sqrt.f64 (*.f64 a d)) (*.f64 a (+.f64 b c)))
(fma.f64 (sqrt.f64 (*.f64 a (+.f64 b c))) (sqrt.f64 (*.f64 a (+.f64 b c))) (*.f64 a d))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 b (+.f64 c d))))) 1)
(*.f64 1 (/.f64 1 (+.f64 b (+.f64 c d))))
(*.f64 (/.f64 1 (+.f64 b (+.f64 c d))) 1)
(*.f64 -1 (/.f64 -1 (+.f64 b (+.f64 c d))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 b (+.f64 c d)))) (cbrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) -2)) (cbrt.f64 (/.f64 1 (+.f64 b (+.f64 c d)))))
(*.f64 (pow.f64 (+.f64 b (+.f64 c d)) -1/2) (pow.f64 (+.f64 b (+.f64 c d)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) -1) (pow.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b c) 3))) (fma.f64 d d (*.f64 (+.f64 b c) (-.f64 (+.f64 b c) d))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 d 2) (pow.f64 (+.f64 b c) 2))) (-.f64 (-.f64 d c) b))
(pow.f64 (+.f64 b (+.f64 c d)) -1)
(pow.f64 (/.f64 1 (+.f64 b (+.f64 c d))) 1)
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 b (+.f64 c d)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 b (+.f64 c d))) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 b (+.f64 c d)) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 b (+.f64 c d)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 b (+.f64 c d))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 b (+.f64 c d))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 b (+.f64 c d)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 b (+.f64 c d)))))
(exp.f64 (*.f64 (log.f64 (+.f64 b (+.f64 c d))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 b (+.f64 c d)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 b (+.f64 c d)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 b (+.f64 c d)))) 1)
(-.f64 (/.f64 (pow.f64 d 2) (-.f64 (-.f64 d c) b)) (/.f64 (pow.f64 (+.f64 b c) 2) (-.f64 (-.f64 d c) b)))
(*.f64 1 (+.f64 b (+.f64 c d)))
(*.f64 (+.f64 b (+.f64 c d)) 1)
(*.f64 -1 (neg.f64 (+.f64 b (+.f64 c d))))
(*.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2) (cbrt.f64 (+.f64 b (+.f64 c d))))
(*.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) (sqrt.f64 (+.f64 b (+.f64 c d))))
(*.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b c) 3)) (/.f64 1 (fma.f64 d d (*.f64 (+.f64 b c) (-.f64 (+.f64 b c) d)))))
(*.f64 (-.f64 (pow.f64 d 2) (pow.f64 (+.f64 b c) 2)) (/.f64 1 (-.f64 (-.f64 d c) b)))
(/.f64 1 (/.f64 1 (+.f64 b (+.f64 c d))))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 b (+.f64 c d))) 1))
(/.f64 1 (/.f64 (fma.f64 d d (*.f64 (+.f64 b c) (-.f64 (+.f64 b c) d))) (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b c) 3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 d c) b) (-.f64 (pow.f64 d 2) (pow.f64 (+.f64 b c) 2))))
(/.f64 (+.f64 b (+.f64 c d)) 1)
(/.f64 -1 (/.f64 -1 (+.f64 b (+.f64 c d))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2) (cbrt.f64 (/.f64 1 (+.f64 b (+.f64 c d)))))
(/.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) (pow.f64 (+.f64 b (+.f64 c d)) -1/2))
(/.f64 (neg.f64 (+.f64 b (+.f64 c d))) -1)
(/.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b c) 3)) (fma.f64 d d (*.f64 (+.f64 b c) (-.f64 (+.f64 b c) d))))
(/.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b c) 3)) (+.f64 (pow.f64 (+.f64 b c) 2) (-.f64 (pow.f64 d 2) (*.f64 (+.f64 b c) d))))
(/.f64 (-.f64 (pow.f64 d 2) (pow.f64 (+.f64 b c) 2)) (-.f64 (-.f64 d c) b))
(/.f64 (neg.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b c) 3))) (neg.f64 (fma.f64 d d (*.f64 (+.f64 b c) (-.f64 (+.f64 b c) d)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 d 2) (pow.f64 (+.f64 b c) 2))) (neg.f64 (-.f64 (-.f64 d c) b)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) -2))) (cbrt.f64 (/.f64 1 (+.f64 b (+.f64 c d)))))
(/.f64 (/.f64 1 (pow.f64 (+.f64 b (+.f64 c d)) -1/2)) (pow.f64 (+.f64 b (+.f64 c d)) -1/2))
(/.f64 (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 c 3)) (+.f64 (*.f64 (+.f64 b d) (+.f64 b d)) (-.f64 (pow.f64 c 2) (*.f64 (+.f64 b d) c))))
(/.f64 (-.f64 (pow.f64 (+.f64 b c) 2) (pow.f64 d 2)) (-.f64 (+.f64 b c) d))
(/.f64 (-.f64 (*.f64 (+.f64 b d) (+.f64 b d)) (pow.f64 c 2)) (-.f64 (+.f64 b d) c))
(pow.f64 (+.f64 b (+.f64 c d)) 1)
(pow.f64 (/.f64 1 (+.f64 b (+.f64 c d))) -1)
(pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 3)
(pow.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) 2)
(sqrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2))
(log.f64 (exp.f64 (+.f64 b (+.f64 c d))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 b (+.f64 c d)))))
(cbrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3))
(expm1.f64 (log1p.f64 (+.f64 b (+.f64 c d))))
(exp.f64 (log.f64 (+.f64 b (+.f64 c d))))
(exp.f64 (*.f64 (log.f64 (+.f64 b (+.f64 c d))) 1))
(exp.f64 (neg.f64 (neg.f64 (log.f64 (+.f64 b (+.f64 c d))))))
(log1p.f64 (expm1.f64 (+.f64 b (+.f64 c d))))
(fma.f64 1 (+.f64 b c) d)
(fma.f64 1 d (+.f64 b c))
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (cbrt.f64 d) (+.f64 b c))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b c)) 2) (cbrt.f64 (+.f64 b c)) d)
(fma.f64 (sqrt.f64 d) (sqrt.f64 d) (+.f64 b c))
(fma.f64 (sqrt.f64 (+.f64 b c)) (sqrt.f64 (+.f64 b c)) d)
Outputs
(*.f64 a c)
(+.f64 (*.f64 a b) (*.f64 a c))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a b) (*.f64 a c))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a b) (*.f64 a c))
(*.f64 a (+.f64 c b))
(*.f64 a b)
(+.f64 (*.f64 a b) (*.f64 a c))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a b) (*.f64 a c))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a b) (*.f64 a c))
(*.f64 a (+.f64 c b))
(*.f64 a b)
(+.f64 (*.f64 a b) (*.f64 a c))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a b) (*.f64 a c))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a b) (*.f64 a c))
(*.f64 a (+.f64 c b))
(*.f64 a b)
(+.f64 (*.f64 a b) (*.f64 a c))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a b) (*.f64 a c))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a b) (*.f64 a c))
(*.f64 a (+.f64 c b))
(*.f64 a c)
(+.f64 (*.f64 a b) (*.f64 a c))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a b) (*.f64 a c))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a b) (*.f64 a c))
(*.f64 a (+.f64 c b))
(*.f64 a c)
(+.f64 (*.f64 a b) (*.f64 a c))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a b) (*.f64 a c))
(*.f64 a (+.f64 c b))
(+.f64 (*.f64 a b) (*.f64 a c))
(*.f64 a (+.f64 c b))
(*.f64 a d)
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(*.f64 a c)
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(*.f64 a c)
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(*.f64 a c)
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(*.f64 a d)
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(*.f64 a d)
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(*.f64 a c)
(+.f64 (*.f64 a b) (*.f64 a c))
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(/.f64 (*.f64 1 (fma.f64 d d (*.f64 (+.f64 c b) (-.f64 (+.f64 c b) d)))) (+.f64 (pow.f64 (+.f64 c b) 3) (pow.f64 d 3)))
(/.f64 (fma.f64 d d (*.f64 (+.f64 c b) (+.f64 c (-.f64 b d)))) (+.f64 (pow.f64 (+.f64 c b) 3) (pow.f64 d 3)))
(*.f64 (/.f64 1 (-.f64 (pow.f64 d 2) (pow.f64 (+.f64 b c) 2))) (-.f64 (-.f64 d c) b))
(/.f64 (*.f64 1 (-.f64 d (+.f64 c b))) (-.f64 (pow.f64 d 2) (pow.f64 (+.f64 c b) 2)))
(/.f64 (-.f64 d (+.f64 c b)) (-.f64 (pow.f64 d 2) (pow.f64 (+.f64 c b) 2)))
(pow.f64 (+.f64 b (+.f64 c d)) -1)
(/.f64 1 (+.f64 (+.f64 c b) d))
(/.f64 1 (+.f64 c (+.f64 b d)))
(pow.f64 (/.f64 1 (+.f64 b (+.f64 c d))) 1)
(/.f64 1 (+.f64 (+.f64 c b) d))
(/.f64 1 (+.f64 c (+.f64 b d)))
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 b (+.f64 c d)))) 3)
(/.f64 1 (+.f64 (+.f64 c b) d))
(/.f64 1 (+.f64 c (+.f64 b d)))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 b (+.f64 c d))) 3) 1/3)
(/.f64 1 (+.f64 (+.f64 c b) d))
(/.f64 1 (+.f64 c (+.f64 b d)))
(pow.f64 (pow.f64 (+.f64 b (+.f64 c d)) -1/2) 2)
(/.f64 1 (+.f64 (+.f64 c b) d))
(/.f64 1 (+.f64 c (+.f64 b d)))
(sqrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) -2))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 c b) d) -2))
(sqrt.f64 (pow.f64 (+.f64 c (+.f64 b d)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 b (+.f64 c d)))))
(/.f64 1 (+.f64 (+.f64 c b) d))
(/.f64 1 (+.f64 c (+.f64 b d)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 b (+.f64 c d))))))
(/.f64 1 (+.f64 (+.f64 c b) d))
(/.f64 1 (+.f64 c (+.f64 b d)))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 b (+.f64 c d))) 3))
(/.f64 1 (+.f64 (+.f64 c b) d))
(/.f64 1 (+.f64 c (+.f64 b d)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 b (+.f64 c d)))))
(/.f64 1 (+.f64 (+.f64 c b) d))
(/.f64 1 (+.f64 c (+.f64 b d)))
(exp.f64 (neg.f64 (log.f64 (+.f64 b (+.f64 c d)))))
(/.f64 1 (+.f64 (+.f64 c b) d))
(/.f64 1 (+.f64 c (+.f64 b d)))
(exp.f64 (*.f64 (log.f64 (+.f64 b (+.f64 c d))) -1))
(/.f64 1 (+.f64 (+.f64 c b) d))
(/.f64 1 (+.f64 c (+.f64 b d)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 b (+.f64 c d)))) 1))
(/.f64 1 (+.f64 (+.f64 c b) d))
(/.f64 1 (+.f64 c (+.f64 b d)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 b (+.f64 c d)))))
(/.f64 1 (+.f64 (+.f64 c b) d))
(/.f64 1 (+.f64 c (+.f64 b d)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 b (+.f64 c d)))) 1)
(+.f64 (+.f64 c b) d)
(+.f64 c (+.f64 b d))
(-.f64 (/.f64 (pow.f64 d 2) (-.f64 (-.f64 d c) b)) (/.f64 (pow.f64 (+.f64 b c) 2) (-.f64 (-.f64 d c) b)))
(/.f64 (-.f64 (pow.f64 d 2) (pow.f64 (+.f64 c b) 2)) (-.f64 d (+.f64 c b)))
(*.f64 1 (+.f64 b (+.f64 c d)))
(+.f64 (+.f64 c b) d)
(+.f64 c (+.f64 b d))
(*.f64 (+.f64 b (+.f64 c d)) 1)
(+.f64 (+.f64 c b) d)
(+.f64 c (+.f64 b d))
(*.f64 -1 (neg.f64 (+.f64 b (+.f64 c d))))
(+.f64 (+.f64 c b) d)
(+.f64 c (+.f64 b d))
(*.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2))
(+.f64 (+.f64 c b) d)
(+.f64 c (+.f64 b d))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2) (cbrt.f64 (+.f64 b (+.f64 c d))))
(+.f64 (+.f64 c b) d)
(+.f64 c (+.f64 b d))
(*.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) (sqrt.f64 (+.f64 b (+.f64 c d))))
(+.f64 (+.f64 c b) d)
(+.f64 c (+.f64 b d))
(*.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b c) 3)) (/.f64 1 (fma.f64 d d (*.f64 (+.f64 b c) (-.f64 (+.f64 b c) d)))))
(/.f64 1 (/.f64 (fma.f64 d d (*.f64 (+.f64 c b) (-.f64 (+.f64 c b) d))) (+.f64 (pow.f64 (+.f64 c b) 3) (pow.f64 d 3))))
(/.f64 (+.f64 (pow.f64 (+.f64 c b) 3) (pow.f64 d 3)) (fma.f64 d d (*.f64 (+.f64 c b) (+.f64 c (-.f64 b d)))))
(*.f64 (-.f64 (pow.f64 d 2) (pow.f64 (+.f64 b c) 2)) (/.f64 1 (-.f64 (-.f64 d c) b)))
(/.f64 (-.f64 (pow.f64 d 2) (pow.f64 (+.f64 c b) 2)) (-.f64 d (+.f64 c b)))
(/.f64 1 (/.f64 1 (+.f64 b (+.f64 c d))))
(+.f64 (+.f64 c b) d)
(+.f64 c (+.f64 b d))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 b (+.f64 c d))) 1))
(+.f64 (+.f64 c b) d)
(+.f64 c (+.f64 b d))
(/.f64 1 (/.f64 (fma.f64 d d (*.f64 (+.f64 b c) (-.f64 (+.f64 b c) d))) (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b c) 3))))
(/.f64 1 (/.f64 (fma.f64 d d (*.f64 (+.f64 c b) (-.f64 (+.f64 c b) d))) (+.f64 (pow.f64 (+.f64 c b) 3) (pow.f64 d 3))))
(/.f64 (+.f64 (pow.f64 (+.f64 c b) 3) (pow.f64 d 3)) (fma.f64 d d (*.f64 (+.f64 c b) (+.f64 c (-.f64 b d)))))
(/.f64 1 (/.f64 (-.f64 (-.f64 d c) b) (-.f64 (pow.f64 d 2) (pow.f64 (+.f64 b c) 2))))
(/.f64 (-.f64 (pow.f64 d 2) (pow.f64 (+.f64 c b) 2)) (-.f64 d (+.f64 c b)))
(/.f64 (+.f64 b (+.f64 c d)) 1)
(+.f64 (+.f64 c b) d)
(+.f64 c (+.f64 b d))
(/.f64 -1 (/.f64 -1 (+.f64 b (+.f64 c d))))
(+.f64 (+.f64 c b) d)
(+.f64 c (+.f64 b d))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2) (cbrt.f64 (/.f64 1 (+.f64 b (+.f64 c d)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 c b) d)) 2) (cbrt.f64 (/.f64 1 (+.f64 (+.f64 c b) d))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 c (+.f64 b d))) 2) (cbrt.f64 (/.f64 1 (+.f64 c (+.f64 b d)))))
(/.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) (pow.f64 (+.f64 b (+.f64 c d)) -1/2))
(/.f64 (sqrt.f64 (+.f64 (+.f64 c b) d)) (pow.f64 (+.f64 (+.f64 c b) d) -1/2))
(/.f64 (sqrt.f64 (+.f64 c (+.f64 b d))) (pow.f64 (+.f64 c (+.f64 b d)) -1/2))
(/.f64 (neg.f64 (+.f64 b (+.f64 c d))) -1)
(+.f64 (+.f64 c b) d)
(+.f64 c (+.f64 b d))
(/.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b c) 3)) (fma.f64 d d (*.f64 (+.f64 b c) (-.f64 (+.f64 b c) d))))
(/.f64 1 (/.f64 (fma.f64 d d (*.f64 (+.f64 c b) (-.f64 (+.f64 c b) d))) (+.f64 (pow.f64 (+.f64 c b) 3) (pow.f64 d 3))))
(/.f64 (+.f64 (pow.f64 (+.f64 c b) 3) (pow.f64 d 3)) (fma.f64 d d (*.f64 (+.f64 c b) (+.f64 c (-.f64 b d)))))
(/.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b c) 3)) (+.f64 (pow.f64 (+.f64 b c) 2) (-.f64 (pow.f64 d 2) (*.f64 (+.f64 b c) d))))
(/.f64 (+.f64 (pow.f64 (+.f64 c b) 3) (pow.f64 d 3)) (+.f64 (pow.f64 (+.f64 c b) 2) (-.f64 (pow.f64 d 2) (*.f64 d (+.f64 c b)))))
(/.f64 (+.f64 (pow.f64 (+.f64 c b) 3) (pow.f64 d 3)) (+.f64 (pow.f64 (+.f64 c b) 2) (*.f64 d (-.f64 d (+.f64 c b)))))
(/.f64 (-.f64 (pow.f64 d 2) (pow.f64 (+.f64 b c) 2)) (-.f64 (-.f64 d c) b))
(/.f64 (-.f64 (pow.f64 d 2) (pow.f64 (+.f64 c b) 2)) (-.f64 d (+.f64 c b)))
(/.f64 (neg.f64 (+.f64 (pow.f64 d 3) (pow.f64 (+.f64 b c) 3))) (neg.f64 (fma.f64 d d (*.f64 (+.f64 b c) (-.f64 (+.f64 b c) d)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 c b) 3) (pow.f64 d 3))) (neg.f64 (fma.f64 d d (*.f64 (+.f64 c b) (-.f64 (+.f64 c b) d)))))
(*.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 c b) 3) (pow.f64 d 3)) (fma.f64 d d (*.f64 (+.f64 c b) (+.f64 c (-.f64 b d))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 d 2) (pow.f64 (+.f64 b c) 2))) (neg.f64 (-.f64 (-.f64 d c) b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 d 2) (pow.f64 (+.f64 c b) 2))) (neg.f64 (-.f64 d (+.f64 c b))))
(/.f64 (-.f64 (pow.f64 (+.f64 c b) 2) (pow.f64 d 2)) (+.f64 c (-.f64 b d)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) -2))) (cbrt.f64 (/.f64 1 (+.f64 b (+.f64 c d)))))
(/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 c b) d) -2)) (cbrt.f64 (/.f64 1 (+.f64 (+.f64 c b) d)))))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (+.f64 c (+.f64 b d))))) (cbrt.f64 (pow.f64 (+.f64 c (+.f64 b d)) -2)))
(/.f64 (/.f64 1 (pow.f64 (+.f64 b (+.f64 c d)) -1/2)) (pow.f64 (+.f64 b (+.f64 c d)) -1/2))
(+.f64 (+.f64 c b) d)
(+.f64 c (+.f64 b d))
(/.f64 (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 c 3)) (+.f64 (*.f64 (+.f64 b d) (+.f64 b d)) (-.f64 (pow.f64 c 2) (*.f64 (+.f64 b d) c))))
(/.f64 (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 c 3)) (-.f64 (+.f64 (pow.f64 (+.f64 b d) 2) (pow.f64 c 2)) (*.f64 c (+.f64 b d))))
(/.f64 (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 c 3)) (+.f64 (pow.f64 (+.f64 b d) 2) (*.f64 c (-.f64 c (+.f64 b d)))))
(/.f64 (-.f64 (pow.f64 (+.f64 b c) 2) (pow.f64 d 2)) (-.f64 (+.f64 b c) d))
(/.f64 (neg.f64 (-.f64 (pow.f64 d 2) (pow.f64 (+.f64 c b) 2))) (neg.f64 (-.f64 d (+.f64 c b))))
(/.f64 (-.f64 (pow.f64 (+.f64 c b) 2) (pow.f64 d 2)) (+.f64 c (-.f64 b d)))
(/.f64 (-.f64 (*.f64 (+.f64 b d) (+.f64 b d)) (pow.f64 c 2)) (-.f64 (+.f64 b d) c))
(/.f64 (-.f64 (pow.f64 (+.f64 b d) 2) (pow.f64 c 2)) (+.f64 b (-.f64 d c)))
(/.f64 (-.f64 (pow.f64 (+.f64 b d) 2) (pow.f64 c 2)) (+.f64 d (-.f64 b c)))
(pow.f64 (+.f64 b (+.f64 c d)) 1)
(+.f64 (+.f64 c b) d)
(+.f64 c (+.f64 b d))
(pow.f64 (/.f64 1 (+.f64 b (+.f64 c d))) -1)
(+.f64 (+.f64 c b) d)
(+.f64 c (+.f64 b d))
(pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 3)
(+.f64 (+.f64 c b) d)
(+.f64 c (+.f64 b d))
(pow.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) 1/3)
(+.f64 (+.f64 c b) d)
(+.f64 c (+.f64 b d))
(pow.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) 2)
(+.f64 (+.f64 c b) d)
(+.f64 c (+.f64 b d))
(sqrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 c b) d) 2))
(fabs.f64 (+.f64 c (+.f64 b d)))
(log.f64 (exp.f64 (+.f64 b (+.f64 c d))))
(+.f64 (+.f64 c b) d)
(+.f64 c (+.f64 b d))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 b (+.f64 c d)))))
(+.f64 (+.f64 c b) d)
(+.f64 c (+.f64 b d))
(cbrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3))
(+.f64 (+.f64 c b) d)
(+.f64 c (+.f64 b d))
(expm1.f64 (log1p.f64 (+.f64 b (+.f64 c d))))
(+.f64 (+.f64 c b) d)
(+.f64 c (+.f64 b d))
(exp.f64 (log.f64 (+.f64 b (+.f64 c d))))
(+.f64 (+.f64 c b) d)
(+.f64 c (+.f64 b d))
(exp.f64 (*.f64 (log.f64 (+.f64 b (+.f64 c d))) 1))
(+.f64 (+.f64 c b) d)
(+.f64 c (+.f64 b d))
(exp.f64 (neg.f64 (neg.f64 (log.f64 (+.f64 b (+.f64 c d))))))
(+.f64 (+.f64 c b) d)
(+.f64 c (+.f64 b d))
(log1p.f64 (expm1.f64 (+.f64 b (+.f64 c d))))
(+.f64 (+.f64 c b) d)
(+.f64 c (+.f64 b d))
(fma.f64 1 (+.f64 b c) d)
(+.f64 (+.f64 c b) d)
(+.f64 c (+.f64 b d))
(fma.f64 1 d (+.f64 b c))
(+.f64 (+.f64 c b) d)
(+.f64 c (+.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (cbrt.f64 d) (+.f64 b c))
(+.f64 (+.f64 c b) d)
(+.f64 c (+.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b c)) 2) (cbrt.f64 (+.f64 b c)) d)
(+.f64 (+.f64 c b) d)
(+.f64 c (+.f64 b d))
(fma.f64 (sqrt.f64 d) (sqrt.f64 d) (+.f64 b c))
(+.f64 (+.f64 c b) d)
(+.f64 c (+.f64 b d))
(fma.f64 (sqrt.f64 (+.f64 b c)) (sqrt.f64 (+.f64 b c)) d)
(+.f64 (+.f64 c b) d)
(+.f64 c (+.f64 b d))

eval168.0ms (4.3%)

Compiler

Compiled 6556 to 2690 computations (59% saved)

prune91.0ms (2.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New3903393
Fresh000
Picked235
Done011
Total3927399
Accuracy
100.0%
Counts
399 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(fma.f64 d a (*.f64 a c))
99.6%
(/.f64 a (/.f64 1 (+.f64 d (+.f64 b c))))
99.1%
(/.f64 a (/.f64 1 (+.f64 c d)))
99.5%
(+.f64 (*.f64 a d) (*.f64 a c))
99.9%
(*.f64 a (+.f64 (+.f64 b c) d))
99.5%
(*.f64 a (+.f64 c d))
93.0%
(*.f64 a d)
99.5%
(fma.f64 d a (*.f64 a c))
99.6%
(/.f64 a (/.f64 1 (+.f64 d (+.f64 b c))))
99.1%
(/.f64 a (/.f64 1 (+.f64 c d)))
99.5%
(+.f64 (*.f64 a d) (*.f64 a c))
99.9%
(*.f64 a (+.f64 (+.f64 b c) d))
99.5%
(*.f64 a (+.f64 c d))
93.0%
(*.f64 a d)
Compiler

Compiled 144 to 96 computations (33.3% saved)

localize60.0ms (1.5%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
99.9%
(/.f64 1 (+.f64 c d))
99.6%
(/.f64 a (/.f64 1 (+.f64 c d)))
99.9%
(+.f64 (*.f64 a d) (*.f64 a c))
Compiler

Compiled 52 to 16 computations (69.2% saved)

series4.0ms (0.1%)

Counts
3 → 96
Calls

24 calls:

TimeVariablePointExpression
0.0ms
c
@inf
(/.f64 1 (+.f64 c d))
0.0ms
a
@0
(+.f64 (*.f64 a d) (*.f64 a c))
0.0ms
c
@0
(/.f64 1 (+.f64 c d))
0.0ms
a
@-inf
(+.f64 (*.f64 a d) (*.f64 a c))
0.0ms
c
@inf
(+.f64 (*.f64 a d) (*.f64 a c))

rewrite91.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
1111×log1p-expm1-u
1111×expm1-log1p-u
1030×fma-def
356×expm1-udef
356×log1p-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01663
122663
2329163
Stop Event
node limit
Counts
3 → 188
Calls
Call 1
Inputs
(+.f64 (*.f64 a d) (*.f64 a c))
(/.f64 a (/.f64 1 (+.f64 c d)))
(/.f64 1 (+.f64 c d))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (+.f64 d c)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 a d) 2) (*.f64 a (-.f64 d c))) (/.f64 (pow.f64 (*.f64 a c) 2) (*.f64 a (-.f64 d c))))
(*.f64 a (+.f64 d c))
(*.f64 (*.f64 a (+.f64 d c)) 1)
(*.f64 1 (*.f64 a (+.f64 d c)))
(*.f64 (+.f64 d c) a)
(*.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (+.f64 d c)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 d c))) 2) (cbrt.f64 (*.f64 a (+.f64 d c))))
(*.f64 (cbrt.f64 (*.f64 a (+.f64 d c))) (pow.f64 (cbrt.f64 (*.f64 a (+.f64 d c))) 2))
(*.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (+.f64 d c)))
(*.f64 (sqrt.f64 (*.f64 a (+.f64 d c))) (sqrt.f64 (*.f64 a (+.f64 d c))))
(*.f64 (neg.f64 a) (/.f64 1 (/.f64 -1 (+.f64 d c))))
(*.f64 (+.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 a d) 3)) (/.f64 1 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 a d)) (pow.f64 (*.f64 a d) 2))))
(*.f64 (-.f64 (pow.f64 (*.f64 a d) 2) (pow.f64 (*.f64 a c) 2)) (/.f64 1 (*.f64 a (-.f64 d c))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 d c) -2))) (/.f64 a (/.f64 1 (cbrt.f64 (+.f64 d c)))))
(*.f64 (/.f64 1 (pow.f64 (+.f64 d c) -1/2)) (/.f64 a (pow.f64 (+.f64 d c) -1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (/.f64 1 (+.f64 d c))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (pow.f64 (+.f64 d c) -2))) (cbrt.f64 (*.f64 a (+.f64 d c))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (+.f64 d c) -1/2)) (/.f64 (cbrt.f64 a) (pow.f64 (+.f64 d c) -1/2)))
(*.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (/.f64 1 (+.f64 d c))))
(*.f64 (/.f64 (sqrt.f64 a) (cbrt.f64 (pow.f64 (+.f64 d c) -2))) (/.f64 (sqrt.f64 a) (/.f64 1 (cbrt.f64 (+.f64 d c)))))
(*.f64 (*.f64 a (pow.f64 (cbrt.f64 (+.f64 d c)) 2)) (cbrt.f64 (+.f64 d c)))
(*.f64 (*.f64 a (sqrt.f64 (+.f64 d c))) (sqrt.f64 (+.f64 d c)))
(*.f64 (/.f64 a -1) (neg.f64 (+.f64 d c)))
(/.f64 a (/.f64 1 (+.f64 d c)))
(/.f64 (*.f64 a (+.f64 d c)) 1)
(/.f64 1 (/.f64 1 (*.f64 a (+.f64 d c))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 a d)) (pow.f64 (*.f64 a d) 2)) (+.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 a d) 3))))
(/.f64 1 (/.f64 (*.f64 a (-.f64 d c)) (-.f64 (pow.f64 (*.f64 a d) 2) (pow.f64 (*.f64 a c) 2))))
(/.f64 1 (/.f64 (/.f64 1 (*.f64 a (+.f64 d c))) 1))
(/.f64 -1 (neg.f64 (/.f64 1 (*.f64 a (+.f64 d c)))))
(/.f64 (pow.f64 (cbrt.f64 a) 2) (/.f64 (/.f64 1 (+.f64 d c)) (cbrt.f64 a)))
(/.f64 (sqrt.f64 a) (/.f64 (/.f64 1 (+.f64 d c)) (sqrt.f64 a)))
(/.f64 (neg.f64 a) (/.f64 -1 (+.f64 d c)))
(/.f64 (+.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 a d) 3)) (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 a d)) (pow.f64 (*.f64 a d) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 a d) 3)) (+.f64 (pow.f64 (*.f64 a c) 2) (-.f64 (pow.f64 (*.f64 a d) 2) (*.f64 (*.f64 a d) (*.f64 a c)))))
(/.f64 (-.f64 (pow.f64 (*.f64 a d) 2) (pow.f64 (*.f64 a c) 2)) (*.f64 a (-.f64 d c)))
(/.f64 (*.f64 a (+.f64 (pow.f64 c 3) (pow.f64 d 3))) (fma.f64 d (-.f64 d c) (pow.f64 c 2)))
(/.f64 (*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2))) (-.f64 c d))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 a d) 3))) (neg.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 a d)) (pow.f64 (*.f64 a d) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a d) 2) (pow.f64 (*.f64 a c) 2))) (neg.f64 (*.f64 a (-.f64 d c))))
(/.f64 (neg.f64 (neg.f64 a)) (neg.f64 (/.f64 -1 (+.f64 d c))))
(/.f64 (/.f64 a (pow.f64 (+.f64 d c) -1/2)) (pow.f64 (+.f64 d c) -1/2))
(/.f64 (-.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 (*.f64 a d) 2)) (-.f64 (*.f64 a c) (*.f64 a d)))
(/.f64 (/.f64 a (cbrt.f64 (pow.f64 (+.f64 d c) -2))) (/.f64 1 (cbrt.f64 (+.f64 d c))))
(pow.f64 (*.f64 a (+.f64 d c)) 1)
(pow.f64 (cbrt.f64 (*.f64 a (+.f64 d c))) 3)
(pow.f64 (pow.f64 (*.f64 a (+.f64 d c)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 a (+.f64 d c))) 2)
(pow.f64 (/.f64 1 (*.f64 a (+.f64 d c))) -1)
(neg.f64 (/.f64 a (/.f64 -1 (+.f64 d c))))
(sqrt.f64 (pow.f64 (*.f64 a (+.f64 d c)) 2))
(log.f64 (pow.f64 (exp.f64 a) (+.f64 d c)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a (+.f64 d c)))))
(cbrt.f64 (pow.f64 (*.f64 a (+.f64 d c)) 3))
(cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (+.f64 d c) 3)))
(cbrt.f64 (/.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (+.f64 d c)) 3)))
(expm1.f64 (log1p.f64 (*.f64 a (+.f64 d c))))
(exp.f64 (log.f64 (*.f64 a (+.f64 d c))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (+.f64 d c))) 1))
(log1p.f64 (expm1.f64 (*.f64 a (+.f64 d c))))
(fma.f64 a d (*.f64 a c))
(fma.f64 a c (*.f64 a d))
(fma.f64 d a (*.f64 a c))
(fma.f64 (*.f64 a d) 1 (*.f64 a c))
(fma.f64 c a (*.f64 a d))
(fma.f64 (*.f64 a c) 1 (*.f64 a d))
(fma.f64 1 (*.f64 a d) (*.f64 a c))
(fma.f64 1 (*.f64 a c) (*.f64 a d))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) d) (*.f64 a c))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) c) (*.f64 a d))
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (*.f64 (cbrt.f64 c) a) (*.f64 a d))
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (*.f64 (cbrt.f64 d) a) (*.f64 a c))
(fma.f64 (cbrt.f64 (*.f64 a c)) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 a d))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (cbrt.f64 (*.f64 a c)) (*.f64 a d))
(fma.f64 (cbrt.f64 (*.f64 a d)) (pow.f64 (cbrt.f64 (*.f64 a d)) 2) (*.f64 a c))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a d)) 2) (cbrt.f64 (*.f64 a d)) (*.f64 a c))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) d) (*.f64 a c))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) c) (*.f64 a d))
(fma.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) a) (*.f64 a d))
(fma.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 d) a) (*.f64 a c))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 (*.f64 a c)) (*.f64 a d))
(fma.f64 (sqrt.f64 (*.f64 a d)) (sqrt.f64 (*.f64 a d)) (*.f64 a c))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 d) (*.f64 a c))
(fma.f64 (*.f64 a (sqrt.f64 d)) (sqrt.f64 d) (*.f64 a c))
(fma.f64 (*.f64 d (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 a c))
(fma.f64 (*.f64 d (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a c))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (*.f64 a d))
(fma.f64 (*.f64 a (sqrt.f64 c)) (sqrt.f64 c) (*.f64 a d))
(fma.f64 (*.f64 c (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 a d))
(fma.f64 (*.f64 c (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a d))
(+.f64 (*.f64 a d) (*.f64 a c))
(+.f64 (*.f64 a c) (*.f64 a d))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (+.f64 d c)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 a d) 2) (*.f64 a (-.f64 d c))) (/.f64 (pow.f64 (*.f64 a c) 2) (*.f64 a (-.f64 d c))))
(*.f64 a (+.f64 d c))
(*.f64 (*.f64 a (+.f64 d c)) 1)
(*.f64 1 (*.f64 a (+.f64 d c)))
(*.f64 (+.f64 d c) a)
(*.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (+.f64 d c)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 d c))) 2) (cbrt.f64 (*.f64 a (+.f64 d c))))
(*.f64 (cbrt.f64 (*.f64 a (+.f64 d c))) (pow.f64 (cbrt.f64 (*.f64 a (+.f64 d c))) 2))
(*.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (+.f64 d c)))
(*.f64 (sqrt.f64 (*.f64 a (+.f64 d c))) (sqrt.f64 (*.f64 a (+.f64 d c))))
(*.f64 (neg.f64 a) (/.f64 1 (/.f64 -1 (+.f64 d c))))
(*.f64 (+.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 a d) 3)) (/.f64 1 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 a d)) (pow.f64 (*.f64 a d) 2))))
(*.f64 (-.f64 (pow.f64 (*.f64 a d) 2) (pow.f64 (*.f64 a c) 2)) (/.f64 1 (*.f64 a (-.f64 d c))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 d c) -2))) (/.f64 a (/.f64 1 (cbrt.f64 (+.f64 d c)))))
(*.f64 (/.f64 1 (pow.f64 (+.f64 d c) -1/2)) (/.f64 a (pow.f64 (+.f64 d c) -1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (/.f64 1 (+.f64 d c))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (pow.f64 (+.f64 d c) -2))) (cbrt.f64 (*.f64 a (+.f64 d c))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (+.f64 d c) -1/2)) (/.f64 (cbrt.f64 a) (pow.f64 (+.f64 d c) -1/2)))
(*.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (/.f64 1 (+.f64 d c))))
(*.f64 (/.f64 (sqrt.f64 a) (cbrt.f64 (pow.f64 (+.f64 d c) -2))) (/.f64 (sqrt.f64 a) (/.f64 1 (cbrt.f64 (+.f64 d c)))))
(*.f64 (*.f64 a (pow.f64 (cbrt.f64 (+.f64 d c)) 2)) (cbrt.f64 (+.f64 d c)))
(*.f64 (*.f64 a (sqrt.f64 (+.f64 d c))) (sqrt.f64 (+.f64 d c)))
(*.f64 (/.f64 a -1) (neg.f64 (+.f64 d c)))
(pow.f64 (*.f64 a (+.f64 d c)) 1)
(pow.f64 (cbrt.f64 (*.f64 a (+.f64 d c))) 3)
(pow.f64 (pow.f64 (*.f64 a (+.f64 d c)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 a (+.f64 d c))) 2)
(pow.f64 (/.f64 1 (*.f64 a (+.f64 d c))) -1)
(neg.f64 (/.f64 a (/.f64 -1 (+.f64 d c))))
(sqrt.f64 (pow.f64 (*.f64 a (+.f64 d c)) 2))
(log.f64 (pow.f64 (exp.f64 a) (+.f64 d c)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a (+.f64 d c)))))
(cbrt.f64 (pow.f64 (*.f64 a (+.f64 d c)) 3))
(cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (+.f64 d c) 3)))
(cbrt.f64 (/.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (+.f64 d c)) 3)))
(expm1.f64 (log1p.f64 (*.f64 a (+.f64 d c))))
(exp.f64 (log.f64 (*.f64 a (+.f64 d c))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (+.f64 d c))) 1))
(log1p.f64 (expm1.f64 (*.f64 a (+.f64 d c))))
(fma.f64 a d (*.f64 a c))
(fma.f64 a c (*.f64 a d))
(fma.f64 d a (*.f64 a c))
(fma.f64 (*.f64 a d) 1 (*.f64 a c))
(fma.f64 c a (*.f64 a d))
(fma.f64 (*.f64 a c) 1 (*.f64 a d))
(fma.f64 1 (*.f64 a d) (*.f64 a c))
(fma.f64 1 (*.f64 a c) (*.f64 a d))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) d) (*.f64 a c))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) c) (*.f64 a d))
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (*.f64 (cbrt.f64 c) a) (*.f64 a d))
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (*.f64 (cbrt.f64 d) a) (*.f64 a c))
(fma.f64 (cbrt.f64 (*.f64 a c)) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 a d))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (cbrt.f64 (*.f64 a c)) (*.f64 a d))
(fma.f64 (cbrt.f64 (*.f64 a d)) (pow.f64 (cbrt.f64 (*.f64 a d)) 2) (*.f64 a c))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a d)) 2) (cbrt.f64 (*.f64 a d)) (*.f64 a c))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) d) (*.f64 a c))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) c) (*.f64 a d))
(fma.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) a) (*.f64 a d))
(fma.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 d) a) (*.f64 a c))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 (*.f64 a c)) (*.f64 a d))
(fma.f64 (sqrt.f64 (*.f64 a d)) (sqrt.f64 (*.f64 a d)) (*.f64 a c))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 d) (*.f64 a c))
(fma.f64 (*.f64 a (sqrt.f64 d)) (sqrt.f64 d) (*.f64 a c))
(fma.f64 (*.f64 d (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 a c))
(fma.f64 (*.f64 d (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a c))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (*.f64 a d))
(fma.f64 (*.f64 a (sqrt.f64 c)) (sqrt.f64 c) (*.f64 a d))
(fma.f64 (*.f64 c (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 a d))
(fma.f64 (*.f64 c (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a d))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 d c)))) 1)
(*.f64 1 (/.f64 1 (+.f64 d c)))
(*.f64 (/.f64 1 (+.f64 d c)) 1)
(*.f64 -1 (/.f64 -1 (+.f64 d c)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 d c))) (cbrt.f64 (pow.f64 (+.f64 d c) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 d c) -2)) (/.f64 1 (cbrt.f64 (+.f64 d c))))
(*.f64 (pow.f64 (+.f64 d c) -1/2) (pow.f64 (+.f64 d c) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 d c)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 d c)) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 d c)) -1) (pow.f64 (sqrt.f64 (+.f64 d c)) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 c 3) (pow.f64 d 3))) (fma.f64 d (-.f64 d c) (pow.f64 c 2)))
(*.f64 (/.f64 1 (-.f64 (pow.f64 c 2) (pow.f64 d 2))) (-.f64 c d))
(pow.f64 (+.f64 d c) -1)
(pow.f64 (/.f64 1 (+.f64 d c)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 d c))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 d c)) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 d c) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 d c) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 d c))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 d c)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 d c)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 d c))))
(exp.f64 (neg.f64 (log.f64 (+.f64 d c))))
(exp.f64 (*.f64 (log.f64 (+.f64 d c)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 d c))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 d c))))

simplify137.0ms (3.5%)

Algorithm
egg-herbie
Rules
1174×fma-def
1108×distribute-lft-in
466×distribute-lft-neg-out
462×cancel-sign-sub-inv
448×distribute-lft-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03078283
17958097
228028097
Stop Event
node limit
Counts
284 → 164
Calls
Call 1
Inputs
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 -1 (*.f64 a (+.f64 (*.f64 -1 c) (*.f64 -1 d))))
(*.f64 -1 (*.f64 a (+.f64 (*.f64 -1 c) (*.f64 -1 d))))
(*.f64 -1 (*.f64 a (+.f64 (*.f64 -1 c) (*.f64 -1 d))))
(*.f64 -1 (*.f64 a (+.f64 (*.f64 -1 c) (*.f64 -1 d))))
(*.f64 a c)
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a d)
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a d)
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a d)
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a c)
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a c)
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 a d)
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a c)
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a c)
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a c)
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a d)
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a d)
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(+.f64 (*.f64 a c) (*.f64 a d))
(/.f64 1 d)
(+.f64 (*.f64 -1 (/.f64 c (pow.f64 d 2))) (/.f64 1 d))
(+.f64 (*.f64 -1 (/.f64 c (pow.f64 d 2))) (+.f64 (/.f64 1 d) (/.f64 (pow.f64 c 2) (pow.f64 d 3))))
(+.f64 (*.f64 -1 (/.f64 c (pow.f64 d 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 d 4))) (+.f64 (/.f64 1 d) (/.f64 (pow.f64 c 2) (pow.f64 d 3)))))
(/.f64 1 c)
(+.f64 (*.f64 -1 (/.f64 d (pow.f64 c 2))) (/.f64 1 c))
(+.f64 (*.f64 -1 (/.f64 d (pow.f64 c 2))) (+.f64 (/.f64 1 c) (/.f64 (pow.f64 d 2) (pow.f64 c 3))))
(+.f64 (*.f64 -1 (/.f64 d (pow.f64 c 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 d 3) (pow.f64 c 4))) (+.f64 (/.f64 1 c) (/.f64 (pow.f64 d 2) (pow.f64 c 3)))))
(/.f64 1 c)
(+.f64 (*.f64 -1 (/.f64 d (pow.f64 c 2))) (/.f64 1 c))
(+.f64 (*.f64 -1 (/.f64 d (pow.f64 c 2))) (+.f64 (/.f64 1 c) (/.f64 (pow.f64 d 2) (pow.f64 c 3))))
(+.f64 (*.f64 -1 (/.f64 d (pow.f64 c 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 d 3) (pow.f64 c 4))) (+.f64 (/.f64 1 c) (/.f64 (pow.f64 d 2) (pow.f64 c 3)))))
(/.f64 1 c)
(+.f64 (*.f64 -1 (/.f64 d (pow.f64 c 2))) (/.f64 1 c))
(+.f64 (*.f64 -1 (/.f64 d (pow.f64 c 2))) (+.f64 (/.f64 1 c) (/.f64 (pow.f64 d 2) (pow.f64 c 3))))
(+.f64 (*.f64 -1 (/.f64 d (pow.f64 c 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 d 3) (pow.f64 c 4))) (+.f64 (/.f64 1 c) (/.f64 (pow.f64 d 2) (pow.f64 c 3)))))
(/.f64 1 d)
(+.f64 (*.f64 -1 (/.f64 c (pow.f64 d 2))) (/.f64 1 d))
(+.f64 (*.f64 -1 (/.f64 c (pow.f64 d 2))) (+.f64 (/.f64 1 d) (/.f64 (pow.f64 c 2) (pow.f64 d 3))))
(+.f64 (*.f64 -1 (/.f64 c (pow.f64 d 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 d 4))) (+.f64 (/.f64 1 d) (/.f64 (pow.f64 c 2) (pow.f64 d 3)))))
(/.f64 1 d)
(+.f64 (*.f64 -1 (/.f64 c (pow.f64 d 2))) (/.f64 1 d))
(+.f64 (*.f64 -1 (/.f64 c (pow.f64 d 2))) (+.f64 (/.f64 1 d) (/.f64 (pow.f64 c 2) (pow.f64 d 3))))
(+.f64 (*.f64 -1 (/.f64 c (pow.f64 d 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 c 3) (pow.f64 d 4))) (+.f64 (/.f64 1 d) (/.f64 (pow.f64 c 2) (pow.f64 d 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (+.f64 d c)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 a d) 2) (*.f64 a (-.f64 d c))) (/.f64 (pow.f64 (*.f64 a c) 2) (*.f64 a (-.f64 d c))))
(*.f64 a (+.f64 d c))
(*.f64 (*.f64 a (+.f64 d c)) 1)
(*.f64 1 (*.f64 a (+.f64 d c)))
(*.f64 (+.f64 d c) a)
(*.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (+.f64 d c)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 d c))) 2) (cbrt.f64 (*.f64 a (+.f64 d c))))
(*.f64 (cbrt.f64 (*.f64 a (+.f64 d c))) (pow.f64 (cbrt.f64 (*.f64 a (+.f64 d c))) 2))
(*.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (+.f64 d c)))
(*.f64 (sqrt.f64 (*.f64 a (+.f64 d c))) (sqrt.f64 (*.f64 a (+.f64 d c))))
(*.f64 (neg.f64 a) (/.f64 1 (/.f64 -1 (+.f64 d c))))
(*.f64 (+.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 a d) 3)) (/.f64 1 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 a d)) (pow.f64 (*.f64 a d) 2))))
(*.f64 (-.f64 (pow.f64 (*.f64 a d) 2) (pow.f64 (*.f64 a c) 2)) (/.f64 1 (*.f64 a (-.f64 d c))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 d c) -2))) (/.f64 a (/.f64 1 (cbrt.f64 (+.f64 d c)))))
(*.f64 (/.f64 1 (pow.f64 (+.f64 d c) -1/2)) (/.f64 a (pow.f64 (+.f64 d c) -1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (/.f64 1 (+.f64 d c))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (pow.f64 (+.f64 d c) -2))) (cbrt.f64 (*.f64 a (+.f64 d c))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (+.f64 d c) -1/2)) (/.f64 (cbrt.f64 a) (pow.f64 (+.f64 d c) -1/2)))
(*.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (/.f64 1 (+.f64 d c))))
(*.f64 (/.f64 (sqrt.f64 a) (cbrt.f64 (pow.f64 (+.f64 d c) -2))) (/.f64 (sqrt.f64 a) (/.f64 1 (cbrt.f64 (+.f64 d c)))))
(*.f64 (*.f64 a (pow.f64 (cbrt.f64 (+.f64 d c)) 2)) (cbrt.f64 (+.f64 d c)))
(*.f64 (*.f64 a (sqrt.f64 (+.f64 d c))) (sqrt.f64 (+.f64 d c)))
(*.f64 (/.f64 a -1) (neg.f64 (+.f64 d c)))
(/.f64 a (/.f64 1 (+.f64 d c)))
(/.f64 (*.f64 a (+.f64 d c)) 1)
(/.f64 1 (/.f64 1 (*.f64 a (+.f64 d c))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 a d)) (pow.f64 (*.f64 a d) 2)) (+.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 a d) 3))))
(/.f64 1 (/.f64 (*.f64 a (-.f64 d c)) (-.f64 (pow.f64 (*.f64 a d) 2) (pow.f64 (*.f64 a c) 2))))
(/.f64 1 (/.f64 (/.f64 1 (*.f64 a (+.f64 d c))) 1))
(/.f64 -1 (neg.f64 (/.f64 1 (*.f64 a (+.f64 d c)))))
(/.f64 (pow.f64 (cbrt.f64 a) 2) (/.f64 (/.f64 1 (+.f64 d c)) (cbrt.f64 a)))
(/.f64 (sqrt.f64 a) (/.f64 (/.f64 1 (+.f64 d c)) (sqrt.f64 a)))
(/.f64 (neg.f64 a) (/.f64 -1 (+.f64 d c)))
(/.f64 (+.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 a d) 3)) (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 a d)) (pow.f64 (*.f64 a d) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 a d) 3)) (+.f64 (pow.f64 (*.f64 a c) 2) (-.f64 (pow.f64 (*.f64 a d) 2) (*.f64 (*.f64 a d) (*.f64 a c)))))
(/.f64 (-.f64 (pow.f64 (*.f64 a d) 2) (pow.f64 (*.f64 a c) 2)) (*.f64 a (-.f64 d c)))
(/.f64 (*.f64 a (+.f64 (pow.f64 c 3) (pow.f64 d 3))) (fma.f64 d (-.f64 d c) (pow.f64 c 2)))
(/.f64 (*.f64 a (-.f64 (pow.f64 c 2) (pow.f64 d 2))) (-.f64 c d))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 a d) 3))) (neg.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 a d)) (pow.f64 (*.f64 a d) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a d) 2) (pow.f64 (*.f64 a c) 2))) (neg.f64 (*.f64 a (-.f64 d c))))
(/.f64 (neg.f64 (neg.f64 a)) (neg.f64 (/.f64 -1 (+.f64 d c))))
(/.f64 (/.f64 a (pow.f64 (+.f64 d c) -1/2)) (pow.f64 (+.f64 d c) -1/2))
(/.f64 (-.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 (*.f64 a d) 2)) (-.f64 (*.f64 a c) (*.f64 a d)))
(/.f64 (/.f64 a (cbrt.f64 (pow.f64 (+.f64 d c) -2))) (/.f64 1 (cbrt.f64 (+.f64 d c))))
(pow.f64 (*.f64 a (+.f64 d c)) 1)
(pow.f64 (cbrt.f64 (*.f64 a (+.f64 d c))) 3)
(pow.f64 (pow.f64 (*.f64 a (+.f64 d c)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 a (+.f64 d c))) 2)
(pow.f64 (/.f64 1 (*.f64 a (+.f64 d c))) -1)
(neg.f64 (/.f64 a (/.f64 -1 (+.f64 d c))))
(sqrt.f64 (pow.f64 (*.f64 a (+.f64 d c)) 2))
(log.f64 (pow.f64 (exp.f64 a) (+.f64 d c)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a (+.f64 d c)))))
(cbrt.f64 (pow.f64 (*.f64 a (+.f64 d c)) 3))
(cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (+.f64 d c) 3)))
(cbrt.f64 (/.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (+.f64 d c)) 3)))
(expm1.f64 (log1p.f64 (*.f64 a (+.f64 d c))))
(exp.f64 (log.f64 (*.f64 a (+.f64 d c))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (+.f64 d c))) 1))
(log1p.f64 (expm1.f64 (*.f64 a (+.f64 d c))))
(fma.f64 a d (*.f64 a c))
(fma.f64 a c (*.f64 a d))
(fma.f64 d a (*.f64 a c))
(fma.f64 (*.f64 a d) 1 (*.f64 a c))
(fma.f64 c a (*.f64 a d))
(fma.f64 (*.f64 a c) 1 (*.f64 a d))
(fma.f64 1 (*.f64 a d) (*.f64 a c))
(fma.f64 1 (*.f64 a c) (*.f64 a d))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) d) (*.f64 a c))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) c) (*.f64 a d))
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (*.f64 (cbrt.f64 c) a) (*.f64 a d))
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (*.f64 (cbrt.f64 d) a) (*.f64 a c))
(fma.f64 (cbrt.f64 (*.f64 a c)) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 a d))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (cbrt.f64 (*.f64 a c)) (*.f64 a d))
(fma.f64 (cbrt.f64 (*.f64 a d)) (pow.f64 (cbrt.f64 (*.f64 a d)) 2) (*.f64 a c))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a d)) 2) (cbrt.f64 (*.f64 a d)) (*.f64 a c))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) d) (*.f64 a c))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) c) (*.f64 a d))
(fma.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) a) (*.f64 a d))
(fma.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 d) a) (*.f64 a c))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 (*.f64 a c)) (*.f64 a d))
(fma.f64 (sqrt.f64 (*.f64 a d)) (sqrt.f64 (*.f64 a d)) (*.f64 a c))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 d) (*.f64 a c))
(fma.f64 (*.f64 a (sqrt.f64 d)) (sqrt.f64 d) (*.f64 a c))
(fma.f64 (*.f64 d (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 a c))
(fma.f64 (*.f64 d (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a c))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (*.f64 a d))
(fma.f64 (*.f64 a (sqrt.f64 c)) (sqrt.f64 c) (*.f64 a d))
(fma.f64 (*.f64 c (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 a d))
(fma.f64 (*.f64 c (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a d))
(+.f64 (*.f64 a d) (*.f64 a c))
(+.f64 (*.f64 a c) (*.f64 a d))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (+.f64 d c)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 a d) 2) (*.f64 a (-.f64 d c))) (/.f64 (pow.f64 (*.f64 a c) 2) (*.f64 a (-.f64 d c))))
(*.f64 a (+.f64 d c))
(*.f64 (*.f64 a (+.f64 d c)) 1)
(*.f64 1 (*.f64 a (+.f64 d c)))
(*.f64 (+.f64 d c) a)
(*.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (+.f64 d c)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 a (+.f64 d c))) 2) (cbrt.f64 (*.f64 a (+.f64 d c))))
(*.f64 (cbrt.f64 (*.f64 a (+.f64 d c))) (pow.f64 (cbrt.f64 (*.f64 a (+.f64 d c))) 2))
(*.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (+.f64 d c)))
(*.f64 (sqrt.f64 (*.f64 a (+.f64 d c))) (sqrt.f64 (*.f64 a (+.f64 d c))))
(*.f64 (neg.f64 a) (/.f64 1 (/.f64 -1 (+.f64 d c))))
(*.f64 (+.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 (*.f64 a d) 3)) (/.f64 1 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 a d)) (pow.f64 (*.f64 a d) 2))))
(*.f64 (-.f64 (pow.f64 (*.f64 a d) 2) (pow.f64 (*.f64 a c) 2)) (/.f64 1 (*.f64 a (-.f64 d c))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 d c) -2))) (/.f64 a (/.f64 1 (cbrt.f64 (+.f64 d c)))))
(*.f64 (/.f64 1 (pow.f64 (+.f64 d c) -1/2)) (/.f64 a (pow.f64 (+.f64 d c) -1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) (/.f64 1 (+.f64 d c))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (pow.f64 (+.f64 d c) -2))) (cbrt.f64 (*.f64 a (+.f64 d c))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (+.f64 d c) -1/2)) (/.f64 (cbrt.f64 a) (pow.f64 (+.f64 d c) -1/2)))
(*.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) (/.f64 1 (+.f64 d c))))
(*.f64 (/.f64 (sqrt.f64 a) (cbrt.f64 (pow.f64 (+.f64 d c) -2))) (/.f64 (sqrt.f64 a) (/.f64 1 (cbrt.f64 (+.f64 d c)))))
(*.f64 (*.f64 a (pow.f64 (cbrt.f64 (+.f64 d c)) 2)) (cbrt.f64 (+.f64 d c)))
(*.f64 (*.f64 a (sqrt.f64 (+.f64 d c))) (sqrt.f64 (+.f64 d c)))
(*.f64 (/.f64 a -1) (neg.f64 (+.f64 d c)))
(pow.f64 (*.f64 a (+.f64 d c)) 1)
(pow.f64 (cbrt.f64 (*.f64 a (+.f64 d c))) 3)
(pow.f64 (pow.f64 (*.f64 a (+.f64 d c)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 a (+.f64 d c))) 2)
(pow.f64 (/.f64 1 (*.f64 a (+.f64 d c))) -1)
(neg.f64 (/.f64 a (/.f64 -1 (+.f64 d c))))
(sqrt.f64 (pow.f64 (*.f64 a (+.f64 d c)) 2))
(log.f64 (pow.f64 (exp.f64 a) (+.f64 d c)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a (+.f64 d c)))))
(cbrt.f64 (pow.f64 (*.f64 a (+.f64 d c)) 3))
(cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (+.f64 d c) 3)))
(cbrt.f64 (/.f64 (pow.f64 a 3) (pow.f64 (/.f64 1 (+.f64 d c)) 3)))
(expm1.f64 (log1p.f64 (*.f64 a (+.f64 d c))))
(exp.f64 (log.f64 (*.f64 a (+.f64 d c))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (+.f64 d c))) 1))
(log1p.f64 (expm1.f64 (*.f64 a (+.f64 d c))))
(fma.f64 a d (*.f64 a c))
(fma.f64 a c (*.f64 a d))
(fma.f64 d a (*.f64 a c))
(fma.f64 (*.f64 a d) 1 (*.f64 a c))
(fma.f64 c a (*.f64 a d))
(fma.f64 (*.f64 a c) 1 (*.f64 a d))
(fma.f64 1 (*.f64 a d) (*.f64 a c))
(fma.f64 1 (*.f64 a c) (*.f64 a d))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) d) (*.f64 a c))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) c) (*.f64 a d))
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (*.f64 (cbrt.f64 c) a) (*.f64 a d))
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (*.f64 (cbrt.f64 d) a) (*.f64 a c))
(fma.f64 (cbrt.f64 (*.f64 a c)) (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (*.f64 a d))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a c)) 2) (cbrt.f64 (*.f64 a c)) (*.f64 a d))
(fma.f64 (cbrt.f64 (*.f64 a d)) (pow.f64 (cbrt.f64 (*.f64 a d)) 2) (*.f64 a c))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a d)) 2) (cbrt.f64 (*.f64 a d)) (*.f64 a c))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) d) (*.f64 a c))
(fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) c) (*.f64 a d))
(fma.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) a) (*.f64 a d))
(fma.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 d) a) (*.f64 a c))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 (*.f64 a c)) (*.f64 a d))
(fma.f64 (sqrt.f64 (*.f64 a d)) (sqrt.f64 (*.f64 a d)) (*.f64 a c))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 d) 2)) (cbrt.f64 d) (*.f64 a c))
(fma.f64 (*.f64 a (sqrt.f64 d)) (sqrt.f64 d) (*.f64 a c))
(fma.f64 (*.f64 d (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 a c))
(fma.f64 (*.f64 d (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a c))
(fma.f64 (*.f64 a (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (*.f64 a d))
(fma.f64 (*.f64 a (sqrt.f64 c)) (sqrt.f64 c) (*.f64 a d))
(fma.f64 (*.f64 c (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 a d))
(fma.f64 (*.f64 c (sqrt.f64 a)) (sqrt.f64 a) (*.f64 a d))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 d c)))) 1)
(*.f64 1 (/.f64 1 (+.f64 d c)))
(*.f64 (/.f64 1 (+.f64 d c)) 1)
(*.f64 -1 (/.f64 -1 (+.f64 d c)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 d c))) (cbrt.f64 (pow.f64 (+.f64 d c) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 d c) -2)) (/.f64 1 (cbrt.f64 (+.f64 d c))))
(*.f64 (pow.f64 (+.f64 d c) -1/2) (pow.f64 (+.f64 d c) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 d c)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 d c)) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 d c)) -1) (pow.f64 (sqrt.f64 (+.f64 d c)) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 c 3) (pow.f64 d 3))) (fma.f64 d (-.f64 d c) (pow.f64 c 2)))
(*.f64 (/.f64 1 (-.f64 (pow.f64 c 2) (pow.f64 d 2))) (-.f64 c d))
(pow.f64 (+.f64 d c) -1)
(pow.f64 (/.f64 1 (+.f64 d c)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 d c))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 d c)) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 d c) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 d c) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 d c))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 d c)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 d c)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 d c))))
(exp.f64 (neg.f64 (log.f64 (+.f64 d c))))
(exp.f64 (*.f64 (log.f64 (+.f64 d c)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 d c))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 d c))))
Outputs
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 c d))
(*.f64 -1 (*.f64 a (+.f64 (*.f64 -1 c) (*.f64 -1 d))))
(*.f64 a (+.f64 c d))
(*.f64 -1 (*.f64 a (+.f64 (*.f64 -1 c) (*.f64 -1 d))))
(*.f64 a (+.f64 c d))
(*.f64 -1 (*.f64 a (+.f64 (*.f64 -1 c) (*.f64 -1 d))))
(*.f64 a (+.f64 c d))
(*.f64 -1 (*.f64 a (+.f64 (*.f64 -1 c) (*.f64 -1 d))))
(*.f64 a (+.f64 c d))
(*.f64 a c)
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(*.f64 a d)
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(*.f64 a d)
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(*.f64 a d)
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(*.f64 a c)
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(*.f64 a c)
(+.f64 (*.f64 a c) (*.f64 a d))
(*.f64 a (+.f64 c d))
(+.f64 (*.f64 a c) (*.f64 a d))
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(*.f64 (pow.f64 (sqrt.f64 (+.f64 d c)) -1) (pow.f64 (sqrt.f64 (+.f64 d c)) -1))
(pow.f64 (sqrt.f64 (+.f64 c d)) -2)
(*.f64 (/.f64 1 (+.f64 (pow.f64 c 3) (pow.f64 d 3))) (fma.f64 d (-.f64 d c) (pow.f64 c 2)))
(*.f64 (fma.f64 d (-.f64 d c) (pow.f64 c 2)) (/.f64 1 (+.f64 (pow.f64 d 3) (pow.f64 c 3))))
(/.f64 (fma.f64 d (-.f64 d c) (pow.f64 c 2)) (+.f64 (pow.f64 d 3) (pow.f64 c 3)))
(*.f64 (/.f64 1 (-.f64 (pow.f64 c 2) (pow.f64 d 2))) (-.f64 c d))
(*.f64 (-.f64 c d) (/.f64 1 (-.f64 (pow.f64 c 2) (pow.f64 d 2))))
(/.f64 (-.f64 c d) (-.f64 (pow.f64 c 2) (pow.f64 d 2)))
(pow.f64 (+.f64 d c) -1)
(/.f64 1 (+.f64 c d))
(pow.f64 (/.f64 1 (+.f64 d c)) 1)
(/.f64 1 (+.f64 c d))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 d c))) 3)
(/.f64 1 (+.f64 c d))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 d c)) 3) 1/3)
(/.f64 1 (+.f64 c d))
(pow.f64 (pow.f64 (+.f64 d c) -1/2) 2)
(/.f64 1 (+.f64 c d))
(sqrt.f64 (pow.f64 (+.f64 d c) -2))
(/.f64 1 (+.f64 c d))
(log.f64 (exp.f64 (/.f64 1 (+.f64 d c))))
(/.f64 1 (+.f64 c d))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 d c)))))
(/.f64 1 (+.f64 c d))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 d c)) 3))
(/.f64 1 (+.f64 c d))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 d c))))
(/.f64 1 (+.f64 c d))
(exp.f64 (neg.f64 (log.f64 (+.f64 d c))))
(/.f64 1 (+.f64 c d))
(exp.f64 (*.f64 (log.f64 (+.f64 d c)) -1))
(/.f64 1 (+.f64 c d))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 d c))) 1))
(/.f64 1 (+.f64 c d))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 d c))))
(/.f64 1 (+.f64 c d))

eval254.0ms (6.6%)

Compiler

Compiled 2187 to 1040 computations (52.4% saved)

prune91.0ms (2.3%)

Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New1640164
Fresh000
Picked033
Done044
Total1647171
Accuracy
100.0%
Counts
171 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(fma.f64 d a (*.f64 a c))
99.6%
(/.f64 a (/.f64 1 (+.f64 d (+.f64 b c))))
99.1%
(/.f64 a (/.f64 1 (+.f64 c d)))
99.5%
(+.f64 (*.f64 a d) (*.f64 a c))
99.9%
(*.f64 a (+.f64 (+.f64 b c) d))
99.5%
(*.f64 a (+.f64 c d))
93.0%
(*.f64 a d)
Compiler

Compiled 137 to 71 computations (48.2% saved)

regimes71.0ms (1.8%)

Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 a d)
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 (+.f64 b c) d))
(+.f64 (*.f64 a d) (*.f64 a c))
(/.f64 a (/.f64 1 (+.f64 c d)))
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
(/.f64 a (/.f64 1 (+.f64 d (+.f64 b c))))
(fma.f64 d a (*.f64 a c))
(fma.f64 d a (*.f64 a (+.f64 b c)))
Outputs
(fma.f64 d a (*.f64 a (+.f64 b c)))
Calls

7 calls:

35.0ms
(+.f64 (+.f64 b c) d)
6.0ms
c
6.0ms
(*.f64 a (+.f64 (+.f64 b c) d))
6.0ms
b
6.0ms
a
Results
AccuracySegmentsBranch
100.0%1a
100.0%1b
100.0%1c
100.0%1d
100.0%1(*.f64 a (+.f64 (+.f64 b c) d))
100.0%1(+.f64 (+.f64 b c) d)
100.0%1(+.f64 b c)
Compiler

Compiled 112 to 57 computations (49.1% saved)

regimes90.0ms (2.3%)

Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 a d)
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 (+.f64 b c) d))
(+.f64 (*.f64 a d) (*.f64 a c))
(/.f64 a (/.f64 1 (+.f64 c d)))
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
(/.f64 a (/.f64 1 (+.f64 d (+.f64 b c))))
(fma.f64 d a (*.f64 a c))
Outputs
(*.f64 a (+.f64 (+.f64 b c) d))
Calls

7 calls:

36.0ms
b
26.0ms
(+.f64 b c)
6.0ms
(*.f64 a (+.f64 (+.f64 b c) d))
5.0ms
a
5.0ms
(+.f64 (+.f64 b c) d)
Results
AccuracySegmentsBranch
99.9%1a
99.9%1b
99.9%1c
99.9%1d
99.9%1(*.f64 a (+.f64 (+.f64 b c) d))
99.9%1(+.f64 (+.f64 b c) d)
99.9%1(+.f64 b c)
Compiler

Compiled 104 to 56 computations (46.2% saved)

regimes14.0ms (0.4%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 a d)
(*.f64 a (+.f64 c d))
Outputs
(*.f64 a (+.f64 c d))
Calls

4 calls:

4.0ms
b
3.0ms
a
3.0ms
c
3.0ms
d
Results
AccuracySegmentsBranch
99.5%1a
99.5%1b
99.5%1c
99.5%1d
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes11.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 a d)
Outputs
(*.f64 a d)
Calls

4 calls:

3.0ms
d
3.0ms
b
3.0ms
a
3.0ms
c
Results
AccuracySegmentsBranch
93.0%1a
93.0%1b
93.0%1c
93.0%1d
Compiler

Compiled 27 to 21 computations (22.2% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020102
127102
Stop Event
done
saturated
Calls
Call 1
Inputs
(fma.f64 d a (*.f64 a (+.f64 b c)))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 c d))
(*.f64 a d)
Outputs
(fma.f64 d a (*.f64 a (+.f64 b c)))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 d (+.f64 b c)))
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 d c))
(*.f64 a d)
(*.f64 d a)
Compiler

Compiled 39 to 25 computations (35.9% saved)

soundness110.0ms (2.8%)

Rules
994×log1p-expm1-u
994×expm1-log1p-u
978×fma-def
862×log-prod
370×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01453
117453
2260953
Stop Event
node limit
Compiler

Compiled 43 to 15 computations (65.1% saved)

end0.0ms (0%)

preprocess86.0ms (2.2%)

Remove

(negabs a)

Compiler

Compiled 174 to 96 computations (44.8% saved)

Profiling

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