Expression, p6

Time bar (total: 4.9s)

analyze0.0ms (0%)

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

Compiled 44 to 32 computations (27.3% saved)

sample1.8s (36.8%)

Results
1.8s8256×body256valid
Bogosity

preprocess325.0ms (6.6%)

Algorithm
1×egg-herbie
Rules
1722×fma-def
1512×distribute-rgt-in
1432×distribute-lft-in
1392×unsub-neg
1046×associate--r+
Problems
199×(+.f64 a (+.f64 b (+.f64 c d)))
57×No Errors
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061616
1159592
2465592
32135592
46380592
57507592
67923592
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 (neg.f64 a) (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 a (+.f64 (neg.f64 b) (+.f64 c d))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 (neg.f64 c) d))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c (neg.f64 d)))) 2)
(neg.f64 (*.f64 (+.f64 (neg.f64 a) (+.f64 b (+.f64 c d))) 2))
(neg.f64 (*.f64 (+.f64 a (+.f64 (neg.f64 b) (+.f64 c d))) 2))
(neg.f64 (*.f64 (+.f64 a (+.f64 b (+.f64 (neg.f64 c) d))) 2))
(neg.f64 (*.f64 (+.f64 a (+.f64 b (+.f64 c (neg.f64 d)))) 2))
(*.f64 (+.f64 b (+.f64 a (+.f64 c d))) 2)
(*.f64 (+.f64 c (+.f64 b (+.f64 a d))) 2)
(*.f64 (+.f64 d (+.f64 b (+.f64 c a))) 2)
(*.f64 (+.f64 a (+.f64 c (+.f64 b d))) 2)
(*.f64 (+.f64 a (+.f64 d (+.f64 c b))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 d c))) 2)
Outputs
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 a (+.f64 c (+.f64 b d))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 a (+.f64 c (+.f64 b d))) 2)
(*.f64 (+.f64 (neg.f64 a) (+.f64 b (+.f64 c d))) 2)
(*.f64 2 (+.f64 (+.f64 (neg.f64 a) b) (+.f64 c d)))
(*.f64 2 (-.f64 (+.f64 b (+.f64 c d)) a))
(*.f64 2 (+.f64 c (-.f64 (+.f64 b d) a)))
(*.f64 (-.f64 a (+.f64 c (+.f64 b d))) -2)
(*.f64 (+.f64 a (+.f64 (neg.f64 b) (+.f64 c d))) 2)
(*.f64 2 (+.f64 a (+.f64 (+.f64 c d) (neg.f64 b))))
(*.f64 2 (+.f64 a (-.f64 (+.f64 c d) b)))
(*.f64 2 (+.f64 c (+.f64 a (-.f64 d b))))
(*.f64 (+.f64 a (+.f64 b (+.f64 (neg.f64 c) d))) 2)
(*.f64 2 (+.f64 a (+.f64 b (+.f64 d (neg.f64 c)))))
(*.f64 2 (+.f64 a (+.f64 b (-.f64 d c))))
(*.f64 2 (+.f64 a (+.f64 d (-.f64 b c))))
(*.f64 (+.f64 a (+.f64 b (+.f64 c (neg.f64 d)))) 2)
(*.f64 2 (+.f64 a (+.f64 b (-.f64 c d))))
(*.f64 2 (+.f64 a (+.f64 c (-.f64 b d))))
(*.f64 -2 (-.f64 d (+.f64 a (+.f64 b c))))
(*.f64 (-.f64 d (+.f64 a (+.f64 b c))) -2)
(neg.f64 (*.f64 (+.f64 (neg.f64 a) (+.f64 b (+.f64 c d))) 2))
(*.f64 (+.f64 (+.f64 (neg.f64 a) b) (+.f64 c d)) -2)
(*.f64 (-.f64 (+.f64 b (+.f64 c d)) a) -2)
(*.f64 2 (-.f64 a (+.f64 c (+.f64 b d))))
(neg.f64 (*.f64 (+.f64 a (+.f64 (neg.f64 b) (+.f64 c d))) 2))
(*.f64 (+.f64 a (+.f64 (+.f64 c d) (neg.f64 b))) -2)
(*.f64 (+.f64 a (-.f64 (+.f64 c d) b)) -2)
(*.f64 2 (-.f64 (-.f64 b c) (+.f64 a d)))
(neg.f64 (*.f64 (+.f64 a (+.f64 b (+.f64 (neg.f64 c) d))) 2))
(*.f64 (+.f64 a (+.f64 b (+.f64 d (neg.f64 c)))) -2)
(*.f64 (+.f64 a (+.f64 b (-.f64 d c))) -2)
(*.f64 2 (-.f64 (-.f64 c d) (+.f64 a b)))
(*.f64 2 (-.f64 c (+.f64 a (+.f64 b d))))
(neg.f64 (*.f64 (+.f64 a (+.f64 b (+.f64 c (neg.f64 d)))) 2))
(*.f64 (+.f64 a (+.f64 b (-.f64 c d))) -2)
(*.f64 (+.f64 a (+.f64 c (-.f64 b d))) -2)
(*.f64 2 (-.f64 d (+.f64 a (+.f64 b c))))
(*.f64 (+.f64 b (+.f64 a (+.f64 c d))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 a (+.f64 c (+.f64 b d))) 2)
(*.f64 (+.f64 c (+.f64 b (+.f64 a d))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 a (+.f64 c (+.f64 b d))) 2)
(*.f64 (+.f64 d (+.f64 b (+.f64 c a))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 a (+.f64 c (+.f64 b d))) 2)
(*.f64 (+.f64 a (+.f64 c (+.f64 b d))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 a (+.f64 d (+.f64 c b))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 a (+.f64 c (+.f64 b d))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 d c))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 a (+.f64 c (+.f64 b d))) 2)
Symmetry

(sort a b c d)

Compiler

Compiled 47 to 20 computations (57.4% saved)

eval0.0ms (0%)

Compiler

Compiled 13 to 9 computations (30.8% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶94.9%
(*.f64 (+.f64 a (+.f64 c (+.f64 b d))) 2)
▶94.2%
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
▶94.9%
(*.f64 (+.f64 a (+.f64 c (+.f64 b d))) 2)
▶94.2%
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
Compiler

Compiled 52 to 36 computations (30.8% saved)

localize52.0ms (1.1%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
✓99.6%
(+.f64 c (+.f64 b d))
✓95.5%
(+.f64 a (+.f64 c (+.f64 b d)))
✓99.3%
(+.f64 b (+.f64 c d))
✓95.5%
(+.f64 a (+.f64 b (+.f64 c d)))
Compiler

Compiled 63 to 17 computations (73% saved)

series7.0ms (0.1%)

Counts
4 → 105
Calls

42 calls:

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

rewrite627.0ms (12.7%)

Algorithm
1×batch-egg-rewrite
Rules
996×log1p-expm1-u
541×expm1-log1p-u
428×expm1-udef
428×log1p-udef
152×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017106
1270106
24834106
Stop Event
1×node limit
Counts
4 → 186
Calls
Call 1
Inputs
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 b (+.f64 c d))
(+.f64 a (+.f64 c (+.f64 b d)))
(+.f64 c (+.f64 b d))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 b d) (+.f64 a c)))) 1)
(-.f64 (/.f64 (pow.f64 a 2) (-.f64 (-.f64 a (+.f64 b c)) d)) (/.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) (-.f64 (-.f64 a (+.f64 b c)) d)))
(*.f64 (+.f64 (+.f64 b d) (+.f64 a c)) 1)
(*.f64 1 (+.f64 (+.f64 b d) (+.f64 a c)))
(*.f64 (cbrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) 2) (cbrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) (sqrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(*.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3)) (/.f64 1 (fma.f64 a a (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a)))))
(*.f64 (-.f64 (pow.f64 a 2) (pow.f64 (+.f64 b (+.f64 c d)) 2)) (/.f64 1 (-.f64 (-.f64 a (+.f64 b c)) d)))
(/.f64 1 (/.f64 (fma.f64 a a (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a))) (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 a (+.f64 b c)) d) (-.f64 (pow.f64 a 2) (pow.f64 (+.f64 b (+.f64 c d)) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3)) (fma.f64 a a (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a))))
(/.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3)) (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) (-.f64 (pow.f64 a 2) (*.f64 a (+.f64 b (+.f64 c d))))))
(/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (+.f64 b (+.f64 c d)) 2)) (-.f64 (-.f64 a (+.f64 b c)) d))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3))) (neg.f64 (fma.f64 a a (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a 2) (pow.f64 (+.f64 b (+.f64 c d)) 2))) (neg.f64 (-.f64 (-.f64 a (+.f64 b c)) d)))
(/.f64 (+.f64 (pow.f64 (+.f64 a c) 3) (pow.f64 (+.f64 b d) 3)) (+.f64 (*.f64 (+.f64 a c) (+.f64 a c)) (-.f64 (pow.f64 (+.f64 b d) 2) (*.f64 (+.f64 a c) (+.f64 b d)))))
(/.f64 (+.f64 (pow.f64 (+.f64 a b) 3) (pow.f64 (+.f64 c d) 3)) (+.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (-.f64 (pow.f64 (+.f64 c d) 2) (*.f64 (+.f64 a b) (+.f64 c d)))))
(/.f64 (-.f64 (*.f64 (+.f64 a c) (+.f64 a c)) (pow.f64 (+.f64 b d) 2)) (-.f64 (+.f64 a c) (+.f64 b d)))
(/.f64 (-.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) (pow.f64 a 2)) (-.f64 (+.f64 b (+.f64 c d)) a))
(/.f64 (-.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (pow.f64 (+.f64 c d) 2)) (-.f64 (+.f64 a b) (+.f64 c d)))
(pow.f64 (+.f64 (+.f64 b d) (+.f64 a c)) 1)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) 3)
(pow.f64 (pow.f64 (+.f64 (+.f64 b d) (+.f64 a c)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) 2)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 b d) (+.f64 a c)) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 b d) (+.f64 a c)))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 b d) (+.f64 a c)) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(exp.f64 (log.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 b d) (+.f64 a c))) 1))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(fma.f64 1 a (+.f64 b (+.f64 c d)))
(fma.f64 1 (+.f64 b (+.f64 c d)) a)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2) (cbrt.f64 (+.f64 b (+.f64 c d))) a)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 b (+.f64 c d)))
(fma.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) (sqrt.f64 (+.f64 b (+.f64 c d))) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 b (+.f64 c d)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 b (+.f64 c d)))) 1)
(-.f64 (/.f64 (pow.f64 c 2) (-.f64 (-.f64 c d) b)) (/.f64 (pow.f64 (+.f64 b d) 2) (-.f64 (-.f64 c d) b)))
(-.f64 (/.f64 (pow.f64 b 2) (-.f64 (-.f64 b d) c)) (/.f64 (pow.f64 (+.f64 c d) 2) (-.f64 (-.f64 b d) c)))
(*.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 (+.f64 b d) 3) (pow.f64 c 3)) (/.f64 1 (fma.f64 c c (*.f64 (+.f64 b d) (-.f64 (+.f64 b d) c)))))
(*.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3)) (/.f64 1 (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b)))))
(*.f64 (-.f64 (pow.f64 c 2) (pow.f64 (+.f64 b d) 2)) (/.f64 1 (-.f64 (-.f64 c d) b)))
(*.f64 (-.f64 (pow.f64 b 2) (pow.f64 (+.f64 c d) 2)) (/.f64 1 (-.f64 (-.f64 b d) c)))
(/.f64 1 (/.f64 (fma.f64 c c (*.f64 (+.f64 b d) (-.f64 (+.f64 b d) c))) (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 c 3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 c d) b) (-.f64 (pow.f64 c 2) (pow.f64 (+.f64 b d) 2))))
(/.f64 1 (/.f64 (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b))) (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 b d) c) (-.f64 (pow.f64 b 2) (pow.f64 (+.f64 c d) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 c 3)) (fma.f64 c c (*.f64 (+.f64 b d) (-.f64 (+.f64 b d) c))))
(/.f64 (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 c 3)) (+.f64 (pow.f64 (+.f64 b d) 2) (-.f64 (pow.f64 c 2) (*.f64 c (+.f64 b d)))))
(/.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3)) (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b))))
(/.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3)) (+.f64 (pow.f64 (+.f64 c d) 2) (-.f64 (pow.f64 b 2) (*.f64 b (+.f64 c d)))))
(/.f64 (-.f64 (pow.f64 c 2) (pow.f64 (+.f64 b d) 2)) (-.f64 (-.f64 c d) b))
(/.f64 (-.f64 (pow.f64 b 2) (pow.f64 (+.f64 c d) 2)) (-.f64 (-.f64 b d) c))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 c 3))) (neg.f64 (fma.f64 c c (*.f64 (+.f64 b d) (-.f64 (+.f64 b d) c)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 c 2) (pow.f64 (+.f64 b d) 2))) (neg.f64 (-.f64 (-.f64 c d) b)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3))) (neg.f64 (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b 2) (pow.f64 (+.f64 c d) 2))) (neg.f64 (-.f64 (-.f64 b d) c)))
(/.f64 (+.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 d 3)) (+.f64 (*.f64 (+.f64 b c) (+.f64 b c)) (-.f64 (pow.f64 d 2) (*.f64 (+.f64 b c) d))))
(/.f64 (-.f64 (pow.f64 (+.f64 b d) 2) (pow.f64 c 2)) (-.f64 (+.f64 b d) c))
(/.f64 (-.f64 (*.f64 (+.f64 b c) (+.f64 b c)) (pow.f64 d 2)) (-.f64 (+.f64 b c) d))
(/.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (pow.f64 b 2)) (-.f64 (+.f64 c d) b))
(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)))))
(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 1 b (+.f64 c d))
(fma.f64 1 c (+.f64 b d))
(fma.f64 1 (+.f64 c d) b)
(fma.f64 1 (+.f64 b d) c)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b d)) 2) (cbrt.f64 (+.f64 b d)) c)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 c d)) 2) (cbrt.f64 (+.f64 c d)) b)
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 c) (+.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (+.f64 c d))
(fma.f64 (sqrt.f64 (+.f64 b d)) (sqrt.f64 (+.f64 b d)) c)
(fma.f64 (sqrt.f64 (+.f64 c d)) (sqrt.f64 (+.f64 c d)) b)
(fma.f64 (sqrt.f64 c) (sqrt.f64 c) (+.f64 b d))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 c d))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 b d) (+.f64 a c)))) 1)
(-.f64 (/.f64 (pow.f64 a 2) (-.f64 (-.f64 a (+.f64 b c)) d)) (/.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) (-.f64 (-.f64 a (+.f64 b c)) d)))
(*.f64 (+.f64 (+.f64 b d) (+.f64 a c)) 1)
(*.f64 1 (+.f64 (+.f64 b d) (+.f64 a c)))
(*.f64 (cbrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) 2) (cbrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) (sqrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(*.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3)) (/.f64 1 (fma.f64 a a (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a)))))
(*.f64 (-.f64 (pow.f64 a 2) (pow.f64 (+.f64 b (+.f64 c d)) 2)) (/.f64 1 (-.f64 (-.f64 a (+.f64 b c)) d)))
(/.f64 1 (/.f64 (fma.f64 a a (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a))) (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 a (+.f64 b c)) d) (-.f64 (pow.f64 a 2) (pow.f64 (+.f64 b (+.f64 c d)) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3)) (fma.f64 a a (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a))))
(/.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3)) (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) (-.f64 (pow.f64 a 2) (*.f64 a (+.f64 b (+.f64 c d))))))
(/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (+.f64 b (+.f64 c d)) 2)) (-.f64 (-.f64 a (+.f64 b c)) d))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3))) (neg.f64 (fma.f64 a a (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a 2) (pow.f64 (+.f64 b (+.f64 c d)) 2))) (neg.f64 (-.f64 (-.f64 a (+.f64 b c)) d)))
(/.f64 (+.f64 (pow.f64 (+.f64 a c) 3) (pow.f64 (+.f64 b d) 3)) (+.f64 (*.f64 (+.f64 a c) (+.f64 a c)) (-.f64 (pow.f64 (+.f64 b d) 2) (*.f64 (+.f64 a c) (+.f64 b d)))))
(/.f64 (+.f64 (pow.f64 (+.f64 a b) 3) (pow.f64 (+.f64 c d) 3)) (+.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (-.f64 (pow.f64 (+.f64 c d) 2) (*.f64 (+.f64 a b) (+.f64 c d)))))
(/.f64 (-.f64 (*.f64 (+.f64 a c) (+.f64 a c)) (pow.f64 (+.f64 b d) 2)) (-.f64 (+.f64 a c) (+.f64 b d)))
(/.f64 (-.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) (pow.f64 a 2)) (-.f64 (+.f64 b (+.f64 c d)) a))
(/.f64 (-.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (pow.f64 (+.f64 c d) 2)) (-.f64 (+.f64 a b) (+.f64 c d)))
(pow.f64 (+.f64 (+.f64 b d) (+.f64 a c)) 1)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) 3)
(pow.f64 (pow.f64 (+.f64 (+.f64 b d) (+.f64 a c)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) 2)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 b d) (+.f64 a c)) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 b d) (+.f64 a c)))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 b d) (+.f64 a c)) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(exp.f64 (log.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 b d) (+.f64 a c))) 1))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(fma.f64 1 a (+.f64 b (+.f64 c d)))
(fma.f64 1 (+.f64 b (+.f64 c d)) a)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2) (cbrt.f64 (+.f64 b (+.f64 c d))) a)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 b (+.f64 c d)))
(fma.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) (sqrt.f64 (+.f64 b (+.f64 c d))) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 b (+.f64 c d)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 b (+.f64 c d)))) 1)
(-.f64 (/.f64 (pow.f64 c 2) (-.f64 (-.f64 c d) b)) (/.f64 (pow.f64 (+.f64 b d) 2) (-.f64 (-.f64 c d) b)))
(-.f64 (/.f64 (pow.f64 b 2) (-.f64 (-.f64 b d) c)) (/.f64 (pow.f64 (+.f64 c d) 2) (-.f64 (-.f64 b d) c)))
(*.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 (+.f64 b d) 3) (pow.f64 c 3)) (/.f64 1 (fma.f64 c c (*.f64 (+.f64 b d) (-.f64 (+.f64 b d) c)))))
(*.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3)) (/.f64 1 (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b)))))
(*.f64 (-.f64 (pow.f64 c 2) (pow.f64 (+.f64 b d) 2)) (/.f64 1 (-.f64 (-.f64 c d) b)))
(*.f64 (-.f64 (pow.f64 b 2) (pow.f64 (+.f64 c d) 2)) (/.f64 1 (-.f64 (-.f64 b d) c)))
(/.f64 1 (/.f64 (fma.f64 c c (*.f64 (+.f64 b d) (-.f64 (+.f64 b d) c))) (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 c 3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 c d) b) (-.f64 (pow.f64 c 2) (pow.f64 (+.f64 b d) 2))))
(/.f64 1 (/.f64 (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b))) (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 b d) c) (-.f64 (pow.f64 b 2) (pow.f64 (+.f64 c d) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 c 3)) (fma.f64 c c (*.f64 (+.f64 b d) (-.f64 (+.f64 b d) c))))
(/.f64 (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 c 3)) (+.f64 (pow.f64 (+.f64 b d) 2) (-.f64 (pow.f64 c 2) (*.f64 c (+.f64 b d)))))
(/.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3)) (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b))))
(/.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3)) (+.f64 (pow.f64 (+.f64 c d) 2) (-.f64 (pow.f64 b 2) (*.f64 b (+.f64 c d)))))
(/.f64 (-.f64 (pow.f64 c 2) (pow.f64 (+.f64 b d) 2)) (-.f64 (-.f64 c d) b))
(/.f64 (-.f64 (pow.f64 b 2) (pow.f64 (+.f64 c d) 2)) (-.f64 (-.f64 b d) c))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 c 3))) (neg.f64 (fma.f64 c c (*.f64 (+.f64 b d) (-.f64 (+.f64 b d) c)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 c 2) (pow.f64 (+.f64 b d) 2))) (neg.f64 (-.f64 (-.f64 c d) b)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3))) (neg.f64 (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b 2) (pow.f64 (+.f64 c d) 2))) (neg.f64 (-.f64 (-.f64 b d) c)))
(/.f64 (+.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 d 3)) (+.f64 (*.f64 (+.f64 b c) (+.f64 b c)) (-.f64 (pow.f64 d 2) (*.f64 (+.f64 b c) d))))
(/.f64 (-.f64 (pow.f64 (+.f64 b d) 2) (pow.f64 c 2)) (-.f64 (+.f64 b d) c))
(/.f64 (-.f64 (*.f64 (+.f64 b c) (+.f64 b c)) (pow.f64 d 2)) (-.f64 (+.f64 b c) d))
(/.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (pow.f64 b 2)) (-.f64 (+.f64 c d) b))
(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)))))
(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 1 b (+.f64 c d))
(fma.f64 1 c (+.f64 b d))
(fma.f64 1 (+.f64 c d) b)
(fma.f64 1 (+.f64 b d) c)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b d)) 2) (cbrt.f64 (+.f64 b d)) c)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 c d)) 2) (cbrt.f64 (+.f64 c d)) b)
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 c) (+.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (+.f64 c d))
(fma.f64 (sqrt.f64 (+.f64 b d)) (sqrt.f64 (+.f64 b d)) c)
(fma.f64 (sqrt.f64 (+.f64 c d)) (sqrt.f64 (+.f64 c d)) b)
(fma.f64 (sqrt.f64 c) (sqrt.f64 c) (+.f64 b d))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 c d))

simplify222.0ms (4.5%)

Algorithm
1×egg-herbie
Rules
896×unswap-sqr
800×cancel-sign-sub-inv
792×associate-+r+
792×times-frac
586×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025911802
172011586
2269611538
Stop Event
1×node limit
Counts
291 → 140
Calls
Call 1
Inputs
(+.f64 b (+.f64 c d))
a
a
(+.f64 a (+.f64 c d))
b
b
(+.f64 a (+.f64 b d))
c
c
(+.f64 a (+.f64 b c))
d
d
(+.f64 c d)
b
b
(+.f64 b d)
c
c
(+.f64 b c)
d
d
(+.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)))
a
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
a
(+.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 d))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
c
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
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 c d))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
b
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
b
(+.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 c))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
d
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
d
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.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 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 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 (exp.f64 (log1p.f64 (+.f64 (+.f64 b d) (+.f64 a c)))) 1)
(-.f64 (/.f64 (pow.f64 a 2) (-.f64 (-.f64 a (+.f64 b c)) d)) (/.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) (-.f64 (-.f64 a (+.f64 b c)) d)))
(*.f64 (+.f64 (+.f64 b d) (+.f64 a c)) 1)
(*.f64 1 (+.f64 (+.f64 b d) (+.f64 a c)))
(*.f64 (cbrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) 2) (cbrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) (sqrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(*.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3)) (/.f64 1 (fma.f64 a a (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a)))))
(*.f64 (-.f64 (pow.f64 a 2) (pow.f64 (+.f64 b (+.f64 c d)) 2)) (/.f64 1 (-.f64 (-.f64 a (+.f64 b c)) d)))
(/.f64 1 (/.f64 (fma.f64 a a (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a))) (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 a (+.f64 b c)) d) (-.f64 (pow.f64 a 2) (pow.f64 (+.f64 b (+.f64 c d)) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3)) (fma.f64 a a (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a))))
(/.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3)) (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) (-.f64 (pow.f64 a 2) (*.f64 a (+.f64 b (+.f64 c d))))))
(/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (+.f64 b (+.f64 c d)) 2)) (-.f64 (-.f64 a (+.f64 b c)) d))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3))) (neg.f64 (fma.f64 a a (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a 2) (pow.f64 (+.f64 b (+.f64 c d)) 2))) (neg.f64 (-.f64 (-.f64 a (+.f64 b c)) d)))
(/.f64 (+.f64 (pow.f64 (+.f64 a c) 3) (pow.f64 (+.f64 b d) 3)) (+.f64 (*.f64 (+.f64 a c) (+.f64 a c)) (-.f64 (pow.f64 (+.f64 b d) 2) (*.f64 (+.f64 a c) (+.f64 b d)))))
(/.f64 (+.f64 (pow.f64 (+.f64 a b) 3) (pow.f64 (+.f64 c d) 3)) (+.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (-.f64 (pow.f64 (+.f64 c d) 2) (*.f64 (+.f64 a b) (+.f64 c d)))))
(/.f64 (-.f64 (*.f64 (+.f64 a c) (+.f64 a c)) (pow.f64 (+.f64 b d) 2)) (-.f64 (+.f64 a c) (+.f64 b d)))
(/.f64 (-.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) (pow.f64 a 2)) (-.f64 (+.f64 b (+.f64 c d)) a))
(/.f64 (-.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (pow.f64 (+.f64 c d) 2)) (-.f64 (+.f64 a b) (+.f64 c d)))
(pow.f64 (+.f64 (+.f64 b d) (+.f64 a c)) 1)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) 3)
(pow.f64 (pow.f64 (+.f64 (+.f64 b d) (+.f64 a c)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) 2)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 b d) (+.f64 a c)) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 b d) (+.f64 a c)))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 b d) (+.f64 a c)) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(exp.f64 (log.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 b d) (+.f64 a c))) 1))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(fma.f64 1 a (+.f64 b (+.f64 c d)))
(fma.f64 1 (+.f64 b (+.f64 c d)) a)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2) (cbrt.f64 (+.f64 b (+.f64 c d))) a)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 b (+.f64 c d)))
(fma.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) (sqrt.f64 (+.f64 b (+.f64 c d))) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 b (+.f64 c d)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 b (+.f64 c d)))) 1)
(-.f64 (/.f64 (pow.f64 c 2) (-.f64 (-.f64 c d) b)) (/.f64 (pow.f64 (+.f64 b d) 2) (-.f64 (-.f64 c d) b)))
(-.f64 (/.f64 (pow.f64 b 2) (-.f64 (-.f64 b d) c)) (/.f64 (pow.f64 (+.f64 c d) 2) (-.f64 (-.f64 b d) c)))
(*.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 (+.f64 b d) 3) (pow.f64 c 3)) (/.f64 1 (fma.f64 c c (*.f64 (+.f64 b d) (-.f64 (+.f64 b d) c)))))
(*.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3)) (/.f64 1 (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b)))))
(*.f64 (-.f64 (pow.f64 c 2) (pow.f64 (+.f64 b d) 2)) (/.f64 1 (-.f64 (-.f64 c d) b)))
(*.f64 (-.f64 (pow.f64 b 2) (pow.f64 (+.f64 c d) 2)) (/.f64 1 (-.f64 (-.f64 b d) c)))
(/.f64 1 (/.f64 (fma.f64 c c (*.f64 (+.f64 b d) (-.f64 (+.f64 b d) c))) (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 c 3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 c d) b) (-.f64 (pow.f64 c 2) (pow.f64 (+.f64 b d) 2))))
(/.f64 1 (/.f64 (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b))) (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 b d) c) (-.f64 (pow.f64 b 2) (pow.f64 (+.f64 c d) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 c 3)) (fma.f64 c c (*.f64 (+.f64 b d) (-.f64 (+.f64 b d) c))))
(/.f64 (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 c 3)) (+.f64 (pow.f64 (+.f64 b d) 2) (-.f64 (pow.f64 c 2) (*.f64 c (+.f64 b d)))))
(/.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3)) (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b))))
(/.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3)) (+.f64 (pow.f64 (+.f64 c d) 2) (-.f64 (pow.f64 b 2) (*.f64 b (+.f64 c d)))))
(/.f64 (-.f64 (pow.f64 c 2) (pow.f64 (+.f64 b d) 2)) (-.f64 (-.f64 c d) b))
(/.f64 (-.f64 (pow.f64 b 2) (pow.f64 (+.f64 c d) 2)) (-.f64 (-.f64 b d) c))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 c 3))) (neg.f64 (fma.f64 c c (*.f64 (+.f64 b d) (-.f64 (+.f64 b d) c)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 c 2) (pow.f64 (+.f64 b d) 2))) (neg.f64 (-.f64 (-.f64 c d) b)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3))) (neg.f64 (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b 2) (pow.f64 (+.f64 c d) 2))) (neg.f64 (-.f64 (-.f64 b d) c)))
(/.f64 (+.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 d 3)) (+.f64 (*.f64 (+.f64 b c) (+.f64 b c)) (-.f64 (pow.f64 d 2) (*.f64 (+.f64 b c) d))))
(/.f64 (-.f64 (pow.f64 (+.f64 b d) 2) (pow.f64 c 2)) (-.f64 (+.f64 b d) c))
(/.f64 (-.f64 (*.f64 (+.f64 b c) (+.f64 b c)) (pow.f64 d 2)) (-.f64 (+.f64 b c) d))
(/.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (pow.f64 b 2)) (-.f64 (+.f64 c d) b))
(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)))))
(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 1 b (+.f64 c d))
(fma.f64 1 c (+.f64 b d))
(fma.f64 1 (+.f64 c d) b)
(fma.f64 1 (+.f64 b d) c)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b d)) 2) (cbrt.f64 (+.f64 b d)) c)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 c d)) 2) (cbrt.f64 (+.f64 c d)) b)
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 c) (+.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (+.f64 c d))
(fma.f64 (sqrt.f64 (+.f64 b d)) (sqrt.f64 (+.f64 b d)) c)
(fma.f64 (sqrt.f64 (+.f64 c d)) (sqrt.f64 (+.f64 c d)) b)
(fma.f64 (sqrt.f64 c) (sqrt.f64 c) (+.f64 b d))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 c d))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 b d) (+.f64 a c)))) 1)
(-.f64 (/.f64 (pow.f64 a 2) (-.f64 (-.f64 a (+.f64 b c)) d)) (/.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) (-.f64 (-.f64 a (+.f64 b c)) d)))
(*.f64 (+.f64 (+.f64 b d) (+.f64 a c)) 1)
(*.f64 1 (+.f64 (+.f64 b d) (+.f64 a c)))
(*.f64 (cbrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) 2) (cbrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) (sqrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(*.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3)) (/.f64 1 (fma.f64 a a (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a)))))
(*.f64 (-.f64 (pow.f64 a 2) (pow.f64 (+.f64 b (+.f64 c d)) 2)) (/.f64 1 (-.f64 (-.f64 a (+.f64 b c)) d)))
(/.f64 1 (/.f64 (fma.f64 a a (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a))) (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 a (+.f64 b c)) d) (-.f64 (pow.f64 a 2) (pow.f64 (+.f64 b (+.f64 c d)) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3)) (fma.f64 a a (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a))))
(/.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3)) (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) (-.f64 (pow.f64 a 2) (*.f64 a (+.f64 b (+.f64 c d))))))
(/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (+.f64 b (+.f64 c d)) 2)) (-.f64 (-.f64 a (+.f64 b c)) d))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3))) (neg.f64 (fma.f64 a a (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a 2) (pow.f64 (+.f64 b (+.f64 c d)) 2))) (neg.f64 (-.f64 (-.f64 a (+.f64 b c)) d)))
(/.f64 (+.f64 (pow.f64 (+.f64 a c) 3) (pow.f64 (+.f64 b d) 3)) (+.f64 (*.f64 (+.f64 a c) (+.f64 a c)) (-.f64 (pow.f64 (+.f64 b d) 2) (*.f64 (+.f64 a c) (+.f64 b d)))))
(/.f64 (+.f64 (pow.f64 (+.f64 a b) 3) (pow.f64 (+.f64 c d) 3)) (+.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (-.f64 (pow.f64 (+.f64 c d) 2) (*.f64 (+.f64 a b) (+.f64 c d)))))
(/.f64 (-.f64 (*.f64 (+.f64 a c) (+.f64 a c)) (pow.f64 (+.f64 b d) 2)) (-.f64 (+.f64 a c) (+.f64 b d)))
(/.f64 (-.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) (pow.f64 a 2)) (-.f64 (+.f64 b (+.f64 c d)) a))
(/.f64 (-.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (pow.f64 (+.f64 c d) 2)) (-.f64 (+.f64 a b) (+.f64 c d)))
(pow.f64 (+.f64 (+.f64 b d) (+.f64 a c)) 1)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) 3)
(pow.f64 (pow.f64 (+.f64 (+.f64 b d) (+.f64 a c)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) 2)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 b d) (+.f64 a c)) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 b d) (+.f64 a c)))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 b d) (+.f64 a c)) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(exp.f64 (log.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 b d) (+.f64 a c))) 1))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(fma.f64 1 a (+.f64 b (+.f64 c d)))
(fma.f64 1 (+.f64 b (+.f64 c d)) a)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2) (cbrt.f64 (+.f64 b (+.f64 c d))) a)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 b (+.f64 c d)))
(fma.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) (sqrt.f64 (+.f64 b (+.f64 c d))) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 b (+.f64 c d)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 b (+.f64 c d)))) 1)
(-.f64 (/.f64 (pow.f64 c 2) (-.f64 (-.f64 c d) b)) (/.f64 (pow.f64 (+.f64 b d) 2) (-.f64 (-.f64 c d) b)))
(-.f64 (/.f64 (pow.f64 b 2) (-.f64 (-.f64 b d) c)) (/.f64 (pow.f64 (+.f64 c d) 2) (-.f64 (-.f64 b d) c)))
(*.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 (+.f64 b d) 3) (pow.f64 c 3)) (/.f64 1 (fma.f64 c c (*.f64 (+.f64 b d) (-.f64 (+.f64 b d) c)))))
(*.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3)) (/.f64 1 (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b)))))
(*.f64 (-.f64 (pow.f64 c 2) (pow.f64 (+.f64 b d) 2)) (/.f64 1 (-.f64 (-.f64 c d) b)))
(*.f64 (-.f64 (pow.f64 b 2) (pow.f64 (+.f64 c d) 2)) (/.f64 1 (-.f64 (-.f64 b d) c)))
(/.f64 1 (/.f64 (fma.f64 c c (*.f64 (+.f64 b d) (-.f64 (+.f64 b d) c))) (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 c 3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 c d) b) (-.f64 (pow.f64 c 2) (pow.f64 (+.f64 b d) 2))))
(/.f64 1 (/.f64 (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b))) (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 b d) c) (-.f64 (pow.f64 b 2) (pow.f64 (+.f64 c d) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 c 3)) (fma.f64 c c (*.f64 (+.f64 b d) (-.f64 (+.f64 b d) c))))
(/.f64 (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 c 3)) (+.f64 (pow.f64 (+.f64 b d) 2) (-.f64 (pow.f64 c 2) (*.f64 c (+.f64 b d)))))
(/.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3)) (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b))))
(/.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3)) (+.f64 (pow.f64 (+.f64 c d) 2) (-.f64 (pow.f64 b 2) (*.f64 b (+.f64 c d)))))
(/.f64 (-.f64 (pow.f64 c 2) (pow.f64 (+.f64 b d) 2)) (-.f64 (-.f64 c d) b))
(/.f64 (-.f64 (pow.f64 b 2) (pow.f64 (+.f64 c d) 2)) (-.f64 (-.f64 b d) c))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 c 3))) (neg.f64 (fma.f64 c c (*.f64 (+.f64 b d) (-.f64 (+.f64 b d) c)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 c 2) (pow.f64 (+.f64 b d) 2))) (neg.f64 (-.f64 (-.f64 c d) b)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3))) (neg.f64 (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b 2) (pow.f64 (+.f64 c d) 2))) (neg.f64 (-.f64 (-.f64 b d) c)))
(/.f64 (+.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 d 3)) (+.f64 (*.f64 (+.f64 b c) (+.f64 b c)) (-.f64 (pow.f64 d 2) (*.f64 (+.f64 b c) d))))
(/.f64 (-.f64 (pow.f64 (+.f64 b d) 2) (pow.f64 c 2)) (-.f64 (+.f64 b d) c))
(/.f64 (-.f64 (*.f64 (+.f64 b c) (+.f64 b c)) (pow.f64 d 2)) (-.f64 (+.f64 b c) d))
(/.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (pow.f64 b 2)) (-.f64 (+.f64 c d) b))
(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)))))
(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 1 b (+.f64 c d))
(fma.f64 1 c (+.f64 b d))
(fma.f64 1 (+.f64 c d) b)
(fma.f64 1 (+.f64 b d) c)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b d)) 2) (cbrt.f64 (+.f64 b d)) c)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 c d)) 2) (cbrt.f64 (+.f64 c d)) b)
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 c) (+.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (+.f64 c d))
(fma.f64 (sqrt.f64 (+.f64 b d)) (sqrt.f64 (+.f64 b d)) c)
(fma.f64 (sqrt.f64 (+.f64 c d)) (sqrt.f64 (+.f64 c d)) b)
(fma.f64 (sqrt.f64 c) (sqrt.f64 c) (+.f64 b d))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 c d))
Outputs
(+.f64 b (+.f64 c d))
a
a
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 a d))
b
b
(+.f64 a (+.f64 b d))
(+.f64 b (+.f64 a d))
c
c
(+.f64 a (+.f64 b c))
(+.f64 b (+.f64 c a))
d
d
(+.f64 c d)
b
b
(+.f64 b d)
c
c
(+.f64 b c)
d
d
(+.f64 b (+.f64 c d))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (+.f64 b (+.f64 c d)) a)
(+.f64 d (+.f64 b (+.f64 c a)))
(+.f64 b (+.f64 c (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (+.f64 b (+.f64 c d)) a)
(+.f64 d (+.f64 b (+.f64 c a)))
(+.f64 b (+.f64 c (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (+.f64 b (+.f64 c d)) a)
(+.f64 d (+.f64 b (+.f64 c a)))
(+.f64 b (+.f64 c (+.f64 a d)))
a
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (+.f64 b (+.f64 c d)) a)
(+.f64 d (+.f64 b (+.f64 c a)))
(+.f64 b (+.f64 c (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (+.f64 b (+.f64 c d)) a)
(+.f64 d (+.f64 b (+.f64 c a)))
(+.f64 b (+.f64 c (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (+.f64 b (+.f64 c d)) a)
(+.f64 d (+.f64 b (+.f64 c a)))
(+.f64 b (+.f64 c (+.f64 a d)))
a
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (+.f64 b (+.f64 c d)) a)
(+.f64 d (+.f64 b (+.f64 c a)))
(+.f64 b (+.f64 c (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (+.f64 b (+.f64 c d)) a)
(+.f64 d (+.f64 b (+.f64 c a)))
(+.f64 b (+.f64 c (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (+.f64 b (+.f64 c d)) a)
(+.f64 d (+.f64 b (+.f64 c a)))
(+.f64 b (+.f64 c (+.f64 a d)))
(+.f64 a (+.f64 b d))
(+.f64 b (+.f64 a d))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (+.f64 b (+.f64 c d)) a)
(+.f64 d (+.f64 b (+.f64 c a)))
(+.f64 b (+.f64 c (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (+.f64 b (+.f64 c d)) a)
(+.f64 d (+.f64 b (+.f64 c a)))
(+.f64 b (+.f64 c (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (+.f64 b (+.f64 c d)) a)
(+.f64 d (+.f64 b (+.f64 c a)))
(+.f64 b (+.f64 c (+.f64 a d)))
c
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (+.f64 b (+.f64 c d)) a)
(+.f64 d (+.f64 b (+.f64 c a)))
(+.f64 b (+.f64 c (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (+.f64 b (+.f64 c d)) a)
(+.f64 d (+.f64 b (+.f64 c a)))
(+.f64 b (+.f64 c (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (+.f64 b (+.f64 c d)) a)
(+.f64 d (+.f64 b (+.f64 c a)))
(+.f64 b (+.f64 c (+.f64 a d)))
c
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (+.f64 b (+.f64 c d)) a)
(+.f64 d (+.f64 b (+.f64 c a)))
(+.f64 b (+.f64 c (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (+.f64 b (+.f64 c d)) a)
(+.f64 d (+.f64 b (+.f64 c a)))
(+.f64 b (+.f64 c (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (+.f64 b (+.f64 c d)) a)
(+.f64 d (+.f64 b (+.f64 c a)))
(+.f64 b (+.f64 c (+.f64 a d)))
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 a d))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (+.f64 b (+.f64 c d)) a)
(+.f64 d (+.f64 b (+.f64 c a)))
(+.f64 b (+.f64 c (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (+.f64 b (+.f64 c d)) a)
(+.f64 d (+.f64 b (+.f64 c a)))
(+.f64 b (+.f64 c (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (+.f64 b (+.f64 c d)) a)
(+.f64 d (+.f64 b (+.f64 c a)))
(+.f64 b (+.f64 c (+.f64 a d)))
b
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (+.f64 b (+.f64 c d)) a)
(+.f64 d (+.f64 b (+.f64 c a)))
(+.f64 b (+.f64 c (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (+.f64 b (+.f64 c d)) a)
(+.f64 d (+.f64 b (+.f64 c a)))
(+.f64 b (+.f64 c (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (+.f64 b (+.f64 c d)) a)
(+.f64 d (+.f64 b (+.f64 c a)))
(+.f64 b (+.f64 c (+.f64 a d)))
b
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (+.f64 b (+.f64 c d)) a)
(+.f64 d (+.f64 b (+.f64 c a)))
(+.f64 b (+.f64 c (+.f64 a d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (+.f64 b (+.f64 c d)) a)
(+.f64 d (+.f64 b (+.f64 c a)))
(+.f64 b (+.f64 c (+.f64 a d)))
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d
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d
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c
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c
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b
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b
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d
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d
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(fma.f64 (sqrt.f64 c) (sqrt.f64 c) (+.f64 b d))
(+.f64 b (+.f64 c d))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 c d))
(+.f64 b (+.f64 c d))

eval84.0ms (1.7%)

Compiler

Compiled 2564 to 1070 computations (58.3% saved)

prune30.0ms (0.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1355140
Fresh000
Picked202
Done000
Total1375142
Accuracy
100.0%
Counts
142 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶11.7%
(*.f64 (+.f64 (+.f64 c d) a) 2)
▶11.7%
(*.f64 (+.f64 c (+.f64 a d)) 2)
▶100.0%
(*.f64 (+.f64 b (+.f64 c (+.f64 a d))) 2)
▶11.7%
(*.f64 c 2)
▶6.2%
(*.f64 b 2)
▶11.7%
(*.f64 (+.f64 (+.f64 c d) a) 2)
▶11.7%
(*.f64 (+.f64 c (+.f64 a d)) 2)
▶100.0%
(*.f64 (+.f64 b (+.f64 c (+.f64 a d))) 2)
▶11.7%
(*.f64 c 2)
▶6.2%
(*.f64 b 2)
Compiler

Compiled 196 to 148 computations (24.5% saved)

localize73.0ms (1.5%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓97.9%
(+.f64 (+.f64 c d) a)
Compiler

Compiled 82 to 25 computations (69.5% saved)

series1.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite90.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
936×unpow-prod-down
846×fma-def
738×log1p-expm1-u
738×expm1-log1p-u
590×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01122
112822
2190522
Stop Event
1×node limit
Counts
1 → 94
Calls
Call 1
Inputs
(+.f64 (+.f64 c d) a)
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 c (+.f64 d a)))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 c d) 2) (+.f64 c (-.f64 d a))) (/.f64 (pow.f64 a 2) (+.f64 c (-.f64 d a))))
(*.f64 (+.f64 c (+.f64 d a)) 1)
(*.f64 (+.f64 c (+.f64 d a)) (log.f64 (exp.f64 1)))
(*.f64 1 (+.f64 c (+.f64 d a)))
(*.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 2) (cbrt.f64 (+.f64 c (+.f64 d a))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 c (+.f64 d a)))) 2))
(*.f64 (sqrt.f64 (+.f64 c (+.f64 d a))) (sqrt.f64 (+.f64 c (+.f64 d a))))
(*.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3)) (/.f64 1 (fma.f64 a (-.f64 a (+.f64 c d)) (pow.f64 (+.f64 c d) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3)) (pow.f64 (/.f64 1 (fma.f64 a (-.f64 a (+.f64 c d)) (pow.f64 (+.f64 c d) 2))) 1))
(*.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (pow.f64 a 2)) (/.f64 1 (+.f64 c (-.f64 d a))))
(*.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (+.f64 c (-.f64 d a))) 1))
(*.f64 (pow.f64 1 1/3) (+.f64 c (+.f64 d a)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 c (+.f64 d a)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 c (+.f64 d a)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 c (+.f64 d a)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 c (+.f64 d a)))) (cbrt.f64 (cbrt.f64 (+.f64 c (+.f64 d a))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 c (+.f64 d a)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 c (+.f64 d a)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 c (+.f64 d a)))) 3))
(*.f64 (pow.f64 (pow.f64 (+.f64 c (+.f64 d a)) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 c (+.f64 d a)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 c (+.f64 d a)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 c (+.f64 d a)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 c (+.f64 d a)) (cbrt.f64 (+.f64 c (+.f64 d a)))) 2) 1/3) (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 1/3))
(*.f64 (pow.f64 (pow.f64 (+.f64 c (+.f64 d a)) 5/2) 1/3) (pow.f64 (sqrt.f64 (+.f64 c (+.f64 d a))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 c (+.f64 d a)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 c (+.f64 d a)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 c (+.f64 d a)))) 2))
(/.f64 1 (/.f64 (fma.f64 a (-.f64 a (+.f64 c d)) (pow.f64 (+.f64 c d) 2)) (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3))))
(/.f64 1 (/.f64 (+.f64 c (-.f64 d a)) (-.f64 (pow.f64 (+.f64 c d) 2) (pow.f64 a 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3)) (fma.f64 a (-.f64 a (+.f64 c d)) (pow.f64 (+.f64 c d) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3)) (fma.f64 a a (-.f64 (pow.f64 (+.f64 c d) 2) (*.f64 (+.f64 c d) a))))
(/.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (pow.f64 a 2)) (+.f64 c (-.f64 d a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3))) (neg.f64 (fma.f64 a (-.f64 a (+.f64 c d)) (pow.f64 (+.f64 c d) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (pow.f64 a 2))) (neg.f64 (+.f64 c (-.f64 d a))))
(/.f64 (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 d a) 3)) (fma.f64 c c (-.f64 (pow.f64 (+.f64 d a) 2) (*.f64 c (+.f64 d a)))))
(/.f64 (-.f64 (pow.f64 c 2) (pow.f64 (+.f64 d a) 2)) (-.f64 c (+.f64 d a)))
(/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (+.f64 c d) 2)) (-.f64 a (+.f64 c d)))
(pow.f64 (+.f64 c (+.f64 d a)) 1)
(pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 3)
(pow.f64 (pow.f64 (+.f64 c (+.f64 d a)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 c (+.f64 d a)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 c (+.f64 d a))) 2)
(pow.f64 (/.f64 (fma.f64 a (-.f64 a (+.f64 c d)) (pow.f64 (+.f64 c d) 2)) (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3))) -1)
(pow.f64 (/.f64 (+.f64 c (-.f64 d a)) (-.f64 (pow.f64 (+.f64 c d) 2) (pow.f64 a 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 c (+.f64 d a)) 2))
(log.f64 (exp.f64 (+.f64 c (+.f64 d a))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 c (+.f64 d a)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 c)) (*.f64 (exp.f64 d) (exp.f64 a))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 c)) (exp.f64 (+.f64 d a))))
(log.f64 (*.f64 (exp.f64 (+.f64 c d)) (+.f64 1 (expm1.f64 a))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 c d))) (exp.f64 a)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 c d))) (+.f64 1 (expm1.f64 a))))
(log.f64 (*.f64 (exp.f64 a) (+.f64 1 (expm1.f64 (+.f64 c d)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (exp.f64 (+.f64 c d))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (+.f64 1 (expm1.f64 (+.f64 c d)))))
(log.f64 (*.f64 (*.f64 (exp.f64 d) (exp.f64 a)) (+.f64 1 (expm1.f64 c))))
(log.f64 (*.f64 (exp.f64 (+.f64 d a)) (exp.f64 c)))
(log.f64 (*.f64 (exp.f64 (+.f64 d a)) (+.f64 1 (expm1.f64 c))))
(cbrt.f64 (pow.f64 (+.f64 c (+.f64 d a)) 3))
(expm1.f64 (log1p.f64 (+.f64 c (+.f64 d a))))
(exp.f64 (log.f64 (+.f64 c (+.f64 d a))))
(exp.f64 (*.f64 (log.f64 (+.f64 c (+.f64 d a))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 c (+.f64 d a))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 c (+.f64 d a)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 c (+.f64 d a)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 c (+.f64 d a)))) 2))
(log1p.f64 (expm1.f64 (+.f64 c (+.f64 d a))))
(fma.f64 c 1 (+.f64 d a))
(fma.f64 c 1 (*.f64 (+.f64 d a) 1))
(fma.f64 d 1 (+.f64 c a))
(fma.f64 (+.f64 c d) 1 a)
(fma.f64 a 1 (+.f64 c d))
(fma.f64 1 c (+.f64 d a))
(fma.f64 1 c (*.f64 (+.f64 d a) 1))
(fma.f64 1 d (+.f64 c a))
(fma.f64 1 (+.f64 c d) a)
(fma.f64 1 a (+.f64 c d))
(fma.f64 1 (+.f64 d a) c)
(fma.f64 (cbrt.f64 (+.f64 c d)) (pow.f64 (cbrt.f64 (+.f64 c d)) 2) a)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 c d)) 2) (cbrt.f64 (+.f64 c d)) a)
(fma.f64 (cbrt.f64 c) (pow.f64 (cbrt.f64 c) 2) (+.f64 d a))
(fma.f64 (cbrt.f64 c) (pow.f64 (cbrt.f64 c) 2) (*.f64 (+.f64 d a) 1))
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 c) (+.f64 d a))
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 c) (*.f64 (+.f64 d a) 1))
(fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (+.f64 c d))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 c d))
(fma.f64 (cbrt.f64 d) (pow.f64 (cbrt.f64 d) 2) (+.f64 c a))
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (cbrt.f64 d) (+.f64 c a))
(fma.f64 (sqrt.f64 (+.f64 c d)) (sqrt.f64 (+.f64 c d)) a)
(fma.f64 (sqrt.f64 c) (sqrt.f64 c) (+.f64 d a))
(fma.f64 (sqrt.f64 c) (sqrt.f64 c) (*.f64 (+.f64 d a) 1))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 c d))
(fma.f64 (sqrt.f64 d) (sqrt.f64 d) (+.f64 c a))
(fma.f64 (+.f64 (pow.f64 c 3) (pow.f64 d 3)) (/.f64 1 (fma.f64 d (-.f64 d c) (pow.f64 c 2))) a)
(fma.f64 (-.f64 (pow.f64 c 2) (pow.f64 d 2)) (/.f64 1 (-.f64 c d)) a)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 d a)) (cbrt.f64 (+.f64 d a))) (cbrt.f64 (+.f64 d a)) c)
(fma.f64 (sqrt.f64 (+.f64 d a)) (sqrt.f64 (+.f64 d a)) c)

simplify161.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
1220×distribute-lft-in
1200×distribute-rgt-in
866×fma-neg
830×fma-def
454×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02534021
16473952
218133939
376813939
Stop Event
1×node limit
Counts
130 → 119
Calls
Call 1
Inputs
(+.f64 a d)
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
c
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
c
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
(+.f64 a c)
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
d
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
d
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
(+.f64 c d)
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
a
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
a
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
(-.f64 (exp.f64 (log1p.f64 (+.f64 c (+.f64 d a)))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 c d) 2) (+.f64 c (-.f64 d a))) (/.f64 (pow.f64 a 2) (+.f64 c (-.f64 d a))))
(*.f64 (+.f64 c (+.f64 d a)) 1)
(*.f64 (+.f64 c (+.f64 d a)) (log.f64 (exp.f64 1)))
(*.f64 1 (+.f64 c (+.f64 d a)))
(*.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 2) (cbrt.f64 (+.f64 c (+.f64 d a))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 c (+.f64 d a)))) 2))
(*.f64 (sqrt.f64 (+.f64 c (+.f64 d a))) (sqrt.f64 (+.f64 c (+.f64 d a))))
(*.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3)) (/.f64 1 (fma.f64 a (-.f64 a (+.f64 c d)) (pow.f64 (+.f64 c d) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3)) (pow.f64 (/.f64 1 (fma.f64 a (-.f64 a (+.f64 c d)) (pow.f64 (+.f64 c d) 2))) 1))
(*.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (pow.f64 a 2)) (/.f64 1 (+.f64 c (-.f64 d a))))
(*.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (+.f64 c (-.f64 d a))) 1))
(*.f64 (pow.f64 1 1/3) (+.f64 c (+.f64 d a)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 c (+.f64 d a)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 c (+.f64 d a)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 c (+.f64 d a)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 c (+.f64 d a)))) (cbrt.f64 (cbrt.f64 (+.f64 c (+.f64 d a))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 c (+.f64 d a)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 c (+.f64 d a)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 c (+.f64 d a)))) 3))
(*.f64 (pow.f64 (pow.f64 (+.f64 c (+.f64 d a)) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 c (+.f64 d a)) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 c (+.f64 d a)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 c (+.f64 d a)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 c (+.f64 d a)) (cbrt.f64 (+.f64 c (+.f64 d a)))) 2) 1/3) (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 1/3))
(*.f64 (pow.f64 (pow.f64 (+.f64 c (+.f64 d a)) 5/2) 1/3) (pow.f64 (sqrt.f64 (+.f64 c (+.f64 d a))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 c (+.f64 d a)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 c (+.f64 d a)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 c (+.f64 d a)))) 2))
(/.f64 1 (/.f64 (fma.f64 a (-.f64 a (+.f64 c d)) (pow.f64 (+.f64 c d) 2)) (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3))))
(/.f64 1 (/.f64 (+.f64 c (-.f64 d a)) (-.f64 (pow.f64 (+.f64 c d) 2) (pow.f64 a 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3)) (fma.f64 a (-.f64 a (+.f64 c d)) (pow.f64 (+.f64 c d) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3)) (fma.f64 a a (-.f64 (pow.f64 (+.f64 c d) 2) (*.f64 (+.f64 c d) a))))
(/.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (pow.f64 a 2)) (+.f64 c (-.f64 d a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3))) (neg.f64 (fma.f64 a (-.f64 a (+.f64 c d)) (pow.f64 (+.f64 c d) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (pow.f64 a 2))) (neg.f64 (+.f64 c (-.f64 d a))))
(/.f64 (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 d a) 3)) (fma.f64 c c (-.f64 (pow.f64 (+.f64 d a) 2) (*.f64 c (+.f64 d a)))))
(/.f64 (-.f64 (pow.f64 c 2) (pow.f64 (+.f64 d a) 2)) (-.f64 c (+.f64 d a)))
(/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (+.f64 c d) 2)) (-.f64 a (+.f64 c d)))
(pow.f64 (+.f64 c (+.f64 d a)) 1)
(pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 3)
(pow.f64 (pow.f64 (+.f64 c (+.f64 d a)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 c (+.f64 d a)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 c (+.f64 d a))) 2)
(pow.f64 (/.f64 (fma.f64 a (-.f64 a (+.f64 c d)) (pow.f64 (+.f64 c d) 2)) (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3))) -1)
(pow.f64 (/.f64 (+.f64 c (-.f64 d a)) (-.f64 (pow.f64 (+.f64 c d) 2) (pow.f64 a 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 c (+.f64 d a)) 2))
(log.f64 (exp.f64 (+.f64 c (+.f64 d a))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 c (+.f64 d a)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 c)) (*.f64 (exp.f64 d) (exp.f64 a))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 c)) (exp.f64 (+.f64 d a))))
(log.f64 (*.f64 (exp.f64 (+.f64 c d)) (+.f64 1 (expm1.f64 a))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 c d))) (exp.f64 a)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 c d))) (+.f64 1 (expm1.f64 a))))
(log.f64 (*.f64 (exp.f64 a) (+.f64 1 (expm1.f64 (+.f64 c d)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (exp.f64 (+.f64 c d))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (+.f64 1 (expm1.f64 (+.f64 c d)))))
(log.f64 (*.f64 (*.f64 (exp.f64 d) (exp.f64 a)) (+.f64 1 (expm1.f64 c))))
(log.f64 (*.f64 (exp.f64 (+.f64 d a)) (exp.f64 c)))
(log.f64 (*.f64 (exp.f64 (+.f64 d a)) (+.f64 1 (expm1.f64 c))))
(cbrt.f64 (pow.f64 (+.f64 c (+.f64 d a)) 3))
(expm1.f64 (log1p.f64 (+.f64 c (+.f64 d a))))
(exp.f64 (log.f64 (+.f64 c (+.f64 d a))))
(exp.f64 (*.f64 (log.f64 (+.f64 c (+.f64 d a))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 c (+.f64 d a))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 c (+.f64 d a)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 c (+.f64 d a)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 c (+.f64 d a)))) 2))
(log1p.f64 (expm1.f64 (+.f64 c (+.f64 d a))))
(fma.f64 c 1 (+.f64 d a))
(fma.f64 c 1 (*.f64 (+.f64 d a) 1))
(fma.f64 d 1 (+.f64 c a))
(fma.f64 (+.f64 c d) 1 a)
(fma.f64 a 1 (+.f64 c d))
(fma.f64 1 c (+.f64 d a))
(fma.f64 1 c (*.f64 (+.f64 d a) 1))
(fma.f64 1 d (+.f64 c a))
(fma.f64 1 (+.f64 c d) a)
(fma.f64 1 a (+.f64 c d))
(fma.f64 1 (+.f64 d a) c)
(fma.f64 (cbrt.f64 (+.f64 c d)) (pow.f64 (cbrt.f64 (+.f64 c d)) 2) a)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 c d)) 2) (cbrt.f64 (+.f64 c d)) a)
(fma.f64 (cbrt.f64 c) (pow.f64 (cbrt.f64 c) 2) (+.f64 d a))
(fma.f64 (cbrt.f64 c) (pow.f64 (cbrt.f64 c) 2) (*.f64 (+.f64 d a) 1))
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 c) (+.f64 d a))
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 c) (*.f64 (+.f64 d a) 1))
(fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (+.f64 c d))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 c d))
(fma.f64 (cbrt.f64 d) (pow.f64 (cbrt.f64 d) 2) (+.f64 c a))
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (cbrt.f64 d) (+.f64 c a))
(fma.f64 (sqrt.f64 (+.f64 c d)) (sqrt.f64 (+.f64 c d)) a)
(fma.f64 (sqrt.f64 c) (sqrt.f64 c) (+.f64 d a))
(fma.f64 (sqrt.f64 c) (sqrt.f64 c) (*.f64 (+.f64 d a) 1))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 c d))
(fma.f64 (sqrt.f64 d) (sqrt.f64 d) (+.f64 c a))
(fma.f64 (+.f64 (pow.f64 c 3) (pow.f64 d 3)) (/.f64 1 (fma.f64 d (-.f64 d c) (pow.f64 c 2))) a)
(fma.f64 (-.f64 (pow.f64 c 2) (pow.f64 d 2)) (/.f64 1 (-.f64 c d)) a)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 d a)) (cbrt.f64 (+.f64 d a))) (cbrt.f64 (+.f64 d a)) c)
(fma.f64 (sqrt.f64 (+.f64 d a)) (sqrt.f64 (+.f64 d a)) c)
Outputs
(+.f64 a d)
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 d c))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 d c))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 d c))
c
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 d c))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 d c))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 d c))
c
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 d c))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 d c))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 d c))
(+.f64 a c)
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 d c))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 d c))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 d c))
d
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 d c))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 d c))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 d c))
d
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 d c))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 d c))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 d c))
(+.f64 c d)
(+.f64 d c)
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 d c))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 d c))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 d c))
a
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 d c))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 d c))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 d c))
a
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 d c))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 d c))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 d c))
(-.f64 (exp.f64 (log1p.f64 (+.f64 c (+.f64 d a)))) 1)
(+.f64 a (+.f64 d c))
(-.f64 (/.f64 (pow.f64 (+.f64 c d) 2) (+.f64 c (-.f64 d a))) (/.f64 (pow.f64 a 2) (+.f64 c (-.f64 d a))))
(/.f64 (-.f64 (pow.f64 (+.f64 d c) 2) (pow.f64 a 2)) (+.f64 c (-.f64 d a)))
(/.f64 (-.f64 (pow.f64 (+.f64 d c) 2) (pow.f64 a 2)) (+.f64 d (-.f64 c a)))
(*.f64 (+.f64 c (+.f64 d a)) 1)
(+.f64 a (+.f64 d c))
(*.f64 (+.f64 c (+.f64 d a)) (log.f64 (exp.f64 1)))
(+.f64 a (+.f64 d c))
(*.f64 1 (+.f64 c (+.f64 d a)))
(+.f64 a (+.f64 d c))
(*.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 2))
(+.f64 a (+.f64 d c))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 2) (cbrt.f64 (+.f64 c (+.f64 d a))))
(+.f64 a (+.f64 d c))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 c (+.f64 d a)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 a (+.f64 d c))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a (+.f64 d c)))) 2))
(*.f64 (sqrt.f64 (+.f64 c (+.f64 d a))) (sqrt.f64 (+.f64 c (+.f64 d a))))
(+.f64 a (+.f64 d c))
(*.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3)) (/.f64 1 (fma.f64 a (-.f64 a (+.f64 c d)) (pow.f64 (+.f64 c d) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 d c) 3) (pow.f64 a 3)) (/.f64 1 (fma.f64 a (-.f64 a (+.f64 d c)) (pow.f64 (+.f64 d c) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 d c) 3) (pow.f64 a 3)) (fma.f64 a (-.f64 a (+.f64 d c)) (pow.f64 (+.f64 d c) 2)))
(*.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3)) (pow.f64 (/.f64 1 (fma.f64 a (-.f64 a (+.f64 c d)) (pow.f64 (+.f64 c d) 2))) 1))
(*.f64 (+.f64 (pow.f64 (+.f64 d c) 3) (pow.f64 a 3)) (/.f64 1 (fma.f64 a (-.f64 a (+.f64 d c)) (pow.f64 (+.f64 d c) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 d c) 3) (pow.f64 a 3)) (fma.f64 a (-.f64 a (+.f64 d c)) (pow.f64 (+.f64 d c) 2)))
(*.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (pow.f64 a 2)) (/.f64 1 (+.f64 c (-.f64 d a))))
(/.f64 (-.f64 (pow.f64 (+.f64 d c) 2) (pow.f64 a 2)) (+.f64 c (-.f64 d a)))
(/.f64 (-.f64 (pow.f64 (+.f64 d c) 2) (pow.f64 a 2)) (+.f64 d (-.f64 c a)))
(*.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (+.f64 c (-.f64 d a))) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 d c) 2) (pow.f64 a 2)) (+.f64 c (-.f64 d a)))
(/.f64 (-.f64 (pow.f64 (+.f64 d c) 2) (pow.f64 a 2)) (+.f64 d (-.f64 c a)))
(*.f64 (pow.f64 1 1/3) (+.f64 c (+.f64 d a)))
(+.f64 a (+.f64 d c))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 c (+.f64 d a)))) 3))
(+.f64 a (+.f64 d c))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 c (+.f64 d a)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 c (+.f64 d a)))) 3))
(+.f64 a (+.f64 d c))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 c (+.f64 d a)))) (cbrt.f64 (cbrt.f64 (+.f64 c (+.f64 d a))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 c (+.f64 d a)))) 3))
(+.f64 a (+.f64 d c))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 c (+.f64 d a)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 c (+.f64 d a)))) 3))
(+.f64 a (+.f64 d c))
(*.f64 (pow.f64 (pow.f64 (+.f64 c (+.f64 d a)) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 c (+.f64 d a)) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 a (+.f64 d c)) 3/2)) (cbrt.f64 (pow.f64 (+.f64 a (+.f64 d c)) 3/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 c (+.f64 d a)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 c (+.f64 d a)) 3)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 a (+.f64 d c)) 3/2)) (cbrt.f64 (pow.f64 (+.f64 a (+.f64 d c)) 3/2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 c (+.f64 d a)) (cbrt.f64 (+.f64 c (+.f64 d a)))) 2) 1/3) (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 a (+.f64 d c)))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 a (+.f64 d c)) (cbrt.f64 (+.f64 a (+.f64 d c)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 a (+.f64 d c)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 a (+.f64 d c))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 a (+.f64 d c)))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 a (+.f64 d c))) 8)))
(*.f64 (pow.f64 (pow.f64 (+.f64 c (+.f64 d a)) 5/2) 1/3) (pow.f64 (sqrt.f64 (+.f64 c (+.f64 d a))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a (+.f64 d c)))) (cbrt.f64 (pow.f64 (+.f64 a (+.f64 d c)) 5/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 c (+.f64 d a)))) 2))
(+.f64 a (+.f64 d c))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 c (+.f64 d a)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 c (+.f64 d a)))) 2))
(+.f64 a (+.f64 d c))
(/.f64 1 (/.f64 (fma.f64 a (-.f64 a (+.f64 c d)) (pow.f64 (+.f64 c d) 2)) (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3))))
(*.f64 (+.f64 (pow.f64 (+.f64 d c) 3) (pow.f64 a 3)) (/.f64 1 (fma.f64 a (-.f64 a (+.f64 d c)) (pow.f64 (+.f64 d c) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 d c) 3) (pow.f64 a 3)) (fma.f64 a (-.f64 a (+.f64 d c)) (pow.f64 (+.f64 d c) 2)))
(/.f64 1 (/.f64 (+.f64 c (-.f64 d a)) (-.f64 (pow.f64 (+.f64 c d) 2) (pow.f64 a 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 d c) 2) (pow.f64 a 2)) (+.f64 c (-.f64 d a)))
(/.f64 (-.f64 (pow.f64 (+.f64 d c) 2) (pow.f64 a 2)) (+.f64 d (-.f64 c a)))
(/.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3)) (fma.f64 a (-.f64 a (+.f64 c d)) (pow.f64 (+.f64 c d) 2)))
(*.f64 (+.f64 (pow.f64 (+.f64 d c) 3) (pow.f64 a 3)) (/.f64 1 (fma.f64 a (-.f64 a (+.f64 d c)) (pow.f64 (+.f64 d c) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 d c) 3) (pow.f64 a 3)) (fma.f64 a (-.f64 a (+.f64 d c)) (pow.f64 (+.f64 d c) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3)) (fma.f64 a a (-.f64 (pow.f64 (+.f64 c d) 2) (*.f64 (+.f64 c d) a))))
(*.f64 (+.f64 (pow.f64 (+.f64 d c) 3) (pow.f64 a 3)) (/.f64 1 (fma.f64 a (-.f64 a (+.f64 d c)) (pow.f64 (+.f64 d c) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 d c) 3) (pow.f64 a 3)) (fma.f64 a (-.f64 a (+.f64 d c)) (pow.f64 (+.f64 d c) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (pow.f64 a 2)) (+.f64 c (-.f64 d a)))
(/.f64 (-.f64 (pow.f64 (+.f64 d c) 2) (pow.f64 a 2)) (+.f64 c (-.f64 d a)))
(/.f64 (-.f64 (pow.f64 (+.f64 d c) 2) (pow.f64 a 2)) (+.f64 d (-.f64 c a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3))) (neg.f64 (fma.f64 a (-.f64 a (+.f64 c d)) (pow.f64 (+.f64 c d) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 d c) 3) (pow.f64 a 3)) (/.f64 1 (fma.f64 a (-.f64 a (+.f64 d c)) (pow.f64 (+.f64 d c) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 d c) 3) (pow.f64 a 3)) (fma.f64 a (-.f64 a (+.f64 d c)) (pow.f64 (+.f64 d c) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (pow.f64 a 2))) (neg.f64 (+.f64 c (-.f64 d a))))
(/.f64 (-.f64 (pow.f64 (+.f64 d c) 2) (pow.f64 a 2)) (+.f64 c (-.f64 d a)))
(/.f64 (-.f64 (pow.f64 (+.f64 d c) 2) (pow.f64 a 2)) (+.f64 d (-.f64 c a)))
(/.f64 (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 d a) 3)) (fma.f64 c c (-.f64 (pow.f64 (+.f64 d a) 2) (*.f64 c (+.f64 d a)))))
(/.f64 (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 a d) 3)) (fma.f64 c c (-.f64 (pow.f64 (+.f64 a d) 2) (*.f64 c (+.f64 a d)))))
(/.f64 (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 a d) 3)) (fma.f64 c c (*.f64 (+.f64 a d) (-.f64 (+.f64 a d) c))))
(/.f64 (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 a d) 3)) (fma.f64 (+.f64 a d) (+.f64 a (-.f64 d c)) (pow.f64 c 2)))
(/.f64 (-.f64 (pow.f64 c 2) (pow.f64 (+.f64 d a) 2)) (-.f64 c (+.f64 d a)))
(/.f64 (-.f64 (pow.f64 c 2) (pow.f64 (+.f64 a d) 2)) (-.f64 (-.f64 c d) a))
(/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (+.f64 c d) 2)) (-.f64 a (+.f64 c d)))
(/.f64 (-.f64 (pow.f64 (+.f64 d c) 2) (pow.f64 a 2)) (+.f64 c (-.f64 d a)))
(/.f64 (-.f64 (pow.f64 (+.f64 d c) 2) (pow.f64 a 2)) (+.f64 d (-.f64 c a)))
(pow.f64 (+.f64 c (+.f64 d a)) 1)
(+.f64 a (+.f64 d c))
(pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 3)
(+.f64 a (+.f64 d c))
(pow.f64 (pow.f64 (+.f64 c (+.f64 d a)) 2) 1/2)
(+.f64 a (+.f64 d c))
(pow.f64 (pow.f64 (+.f64 c (+.f64 d a)) 3) 1/3)
(+.f64 a (+.f64 d c))
(pow.f64 (sqrt.f64 (+.f64 c (+.f64 d a))) 2)
(+.f64 a (+.f64 d c))
(pow.f64 (/.f64 (fma.f64 a (-.f64 a (+.f64 c d)) (pow.f64 (+.f64 c d) 2)) (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3))) -1)
(*.f64 (+.f64 (pow.f64 (+.f64 d c) 3) (pow.f64 a 3)) (/.f64 1 (fma.f64 a (-.f64 a (+.f64 d c)) (pow.f64 (+.f64 d c) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 d c) 3) (pow.f64 a 3)) (fma.f64 a (-.f64 a (+.f64 d c)) (pow.f64 (+.f64 d c) 2)))
(pow.f64 (/.f64 (+.f64 c (-.f64 d a)) (-.f64 (pow.f64 (+.f64 c d) 2) (pow.f64 a 2))) -1)
(/.f64 (-.f64 (pow.f64 (+.f64 d c) 2) (pow.f64 a 2)) (+.f64 c (-.f64 d a)))
(/.f64 (-.f64 (pow.f64 (+.f64 d c) 2) (pow.f64 a 2)) (+.f64 d (-.f64 c a)))
(sqrt.f64 (pow.f64 (+.f64 c (+.f64 d a)) 2))
(+.f64 a (+.f64 d c))
(log.f64 (exp.f64 (+.f64 c (+.f64 d a))))
(+.f64 a (+.f64 d c))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 c (+.f64 d a)))))
(+.f64 a (+.f64 d c))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 c)) (*.f64 (exp.f64 d) (exp.f64 a))))
(+.f64 a (+.f64 d c))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 c)) (exp.f64 (+.f64 d a))))
(+.f64 a (+.f64 d c))
(log.f64 (*.f64 (exp.f64 (+.f64 c d)) (+.f64 1 (expm1.f64 a))))
(+.f64 a (+.f64 d c))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 c d))) (exp.f64 a)))
(+.f64 a (+.f64 d c))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 c d))) (+.f64 1 (expm1.f64 a))))
(+.f64 a (+.f64 d c))
(log.f64 (*.f64 (exp.f64 a) (+.f64 1 (expm1.f64 (+.f64 c d)))))
(+.f64 a (+.f64 d c))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (exp.f64 (+.f64 c d))))
(+.f64 a (+.f64 d c))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (+.f64 1 (expm1.f64 (+.f64 c d)))))
(+.f64 a (+.f64 d c))
(log.f64 (*.f64 (*.f64 (exp.f64 d) (exp.f64 a)) (+.f64 1 (expm1.f64 c))))
(+.f64 a (+.f64 d c))
(log.f64 (*.f64 (exp.f64 (+.f64 d a)) (exp.f64 c)))
(+.f64 a (+.f64 d c))
(log.f64 (*.f64 (exp.f64 (+.f64 d a)) (+.f64 1 (expm1.f64 c))))
(+.f64 a (+.f64 d c))
(cbrt.f64 (pow.f64 (+.f64 c (+.f64 d a)) 3))
(+.f64 a (+.f64 d c))
(expm1.f64 (log1p.f64 (+.f64 c (+.f64 d a))))
(+.f64 a (+.f64 d c))
(exp.f64 (log.f64 (+.f64 c (+.f64 d a))))
(+.f64 a (+.f64 d c))
(exp.f64 (*.f64 (log.f64 (+.f64 c (+.f64 d a))) 1))
(+.f64 a (+.f64 d c))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 c (+.f64 d a))) 1) 1))
(+.f64 a (+.f64 d c))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 c (+.f64 d a)))) 3))
(+.f64 a (+.f64 d c))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 c (+.f64 d a)))) 1/3))
(+.f64 a (+.f64 d c))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 c (+.f64 d a)))) 2))
(+.f64 a (+.f64 d c))
(log1p.f64 (expm1.f64 (+.f64 c (+.f64 d a))))
(+.f64 a (+.f64 d c))
(fma.f64 c 1 (+.f64 d a))
(+.f64 a (+.f64 d c))
(fma.f64 c 1 (*.f64 (+.f64 d a) 1))
(+.f64 a (+.f64 d c))
(fma.f64 d 1 (+.f64 c a))
(+.f64 a (+.f64 d c))
(fma.f64 (+.f64 c d) 1 a)
(+.f64 a (+.f64 d c))
(fma.f64 a 1 (+.f64 c d))
(+.f64 a (+.f64 d c))
(fma.f64 1 c (+.f64 d a))
(+.f64 a (+.f64 d c))
(fma.f64 1 c (*.f64 (+.f64 d a) 1))
(+.f64 a (+.f64 d c))
(fma.f64 1 d (+.f64 c a))
(+.f64 a (+.f64 d c))
(fma.f64 1 (+.f64 c d) a)
(+.f64 a (+.f64 d c))
(fma.f64 1 a (+.f64 c d))
(+.f64 a (+.f64 d c))
(fma.f64 1 (+.f64 d a) c)
(+.f64 a (+.f64 d c))
(fma.f64 (cbrt.f64 (+.f64 c d)) (pow.f64 (cbrt.f64 (+.f64 c d)) 2) a)
(+.f64 a (+.f64 d c))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 c d)) 2) (cbrt.f64 (+.f64 c d)) a)
(+.f64 a (+.f64 d c))
(fma.f64 (cbrt.f64 c) (pow.f64 (cbrt.f64 c) 2) (+.f64 d a))
(+.f64 a (+.f64 d c))
(fma.f64 (cbrt.f64 c) (pow.f64 (cbrt.f64 c) 2) (*.f64 (+.f64 d a) 1))
(+.f64 a (+.f64 d c))
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 c) (+.f64 d a))
(+.f64 a (+.f64 d c))
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 c) (*.f64 (+.f64 d a) 1))
(+.f64 a (+.f64 d c))
(fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (+.f64 c d))
(+.f64 a (+.f64 d c))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 c d))
(+.f64 a (+.f64 d c))
(fma.f64 (cbrt.f64 d) (pow.f64 (cbrt.f64 d) 2) (+.f64 c a))
(+.f64 a (+.f64 d c))
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (cbrt.f64 d) (+.f64 c a))
(+.f64 a (+.f64 d c))
(fma.f64 (sqrt.f64 (+.f64 c d)) (sqrt.f64 (+.f64 c d)) a)
(+.f64 a (+.f64 d c))
(fma.f64 (sqrt.f64 c) (sqrt.f64 c) (+.f64 d a))
(+.f64 a (+.f64 d c))
(fma.f64 (sqrt.f64 c) (sqrt.f64 c) (*.f64 (+.f64 d a) 1))
(+.f64 a (+.f64 d c))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 c d))
(+.f64 a (+.f64 d c))
(fma.f64 (sqrt.f64 d) (sqrt.f64 d) (+.f64 c a))
(+.f64 a (+.f64 d c))
(fma.f64 (+.f64 (pow.f64 c 3) (pow.f64 d 3)) (/.f64 1 (fma.f64 d (-.f64 d c) (pow.f64 c 2))) a)
(+.f64 a (/.f64 (+.f64 (pow.f64 c 3) (pow.f64 d 3)) (fma.f64 d (-.f64 d c) (pow.f64 c 2))))
(fma.f64 (-.f64 (pow.f64 c 2) (pow.f64 d 2)) (/.f64 1 (-.f64 c d)) a)
(+.f64 a (/.f64 (-.f64 (pow.f64 c 2) (pow.f64 d 2)) (-.f64 c d)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 d a)) (cbrt.f64 (+.f64 d a))) (cbrt.f64 (+.f64 d a)) c)
(+.f64 a (+.f64 d c))
(fma.f64 (sqrt.f64 (+.f64 d a)) (sqrt.f64 (+.f64 d a)) c)
(+.f64 a (+.f64 d c))

eval80.0ms (1.6%)

Compiler

Compiled 1762 to 847 computations (51.9% saved)

prune25.0ms (0.5%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New1181119
Fresh000
Picked055
Done000
Total1186124
Accuracy
100.0%
Counts
124 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓11.7%
(*.f64 (+.f64 (+.f64 c d) a) 2)
✓11.7%
(*.f64 (+.f64 c (+.f64 a d)) 2)
✓100.0%
(*.f64 (+.f64 b (+.f64 c (+.f64 a d))) 2)
▶8.6%
(*.f64 (+.f64 a d) 2)
✓11.7%
(*.f64 c 2)
✓6.2%
(*.f64 b 2)
✓11.7%
(*.f64 (+.f64 (+.f64 c d) a) 2)
✓11.7%
(*.f64 (+.f64 c (+.f64 a d)) 2)
✓100.0%
(*.f64 (+.f64 b (+.f64 c (+.f64 a d))) 2)
▶8.6%
(*.f64 (+.f64 a d) 2)
✓11.7%
(*.f64 c 2)
✓6.2%
(*.f64 b 2)
Compiler

Compiled 116 to 88 computations (24.1% saved)

localize27.0ms (0.6%)

Compiler

Compiled 16 to 9 computations (43.8% saved)

eval0.0ms (0%)

Compiler

Compiled 4 to 4 computations (0% saved)

prune4.0ms (0.1%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done055
Total066
Accuracy
100.0%
Counts
6 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓11.7%
(*.f64 (+.f64 (+.f64 c d) a) 2)
✓11.7%
(*.f64 (+.f64 c (+.f64 a d)) 2)
✓100.0%
(*.f64 (+.f64 b (+.f64 c (+.f64 a d))) 2)
✓8.6%
(*.f64 (+.f64 a d) 2)
✓11.7%
(*.f64 c 2)
✓6.2%
(*.f64 b 2)
Compiler

Compiled 114 to 74 computations (35.1% saved)

regimes52.0ms (1.1%)

Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 b 2)
(*.f64 c 2)
(*.f64 (+.f64 a d) 2)
(*.f64 (+.f64 c (+.f64 a d)) 2)
(*.f64 (+.f64 (+.f64 c d) a) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 a (+.f64 c (+.f64 b d))) 2)
(*.f64 (+.f64 b (+.f64 c (+.f64 a d))) 2)
Outputs
(*.f64 (+.f64 b (+.f64 c (+.f64 a d))) 2)
Calls

8 calls:

7.0ms
b
7.0ms
d
6.0ms
(+.f64 a (+.f64 b (+.f64 c d)))
6.0ms
(+.f64 c d)
6.0ms
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
Results
AccuracySegmentsBranch
100.0%1a
100.0%1b
100.0%1c
100.0%1d
100.0%1(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
100.0%1(+.f64 a (+.f64 b (+.f64 c d)))
100.0%1(+.f64 b (+.f64 c d))
100.0%1(+.f64 c d)
Compiler

Compiled 116 to 73 computations (37.1% saved)

regimes50.0ms (1%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 b 2)
(*.f64 c 2)
(*.f64 (+.f64 a d) 2)
(*.f64 (+.f64 c (+.f64 a d)) 2)
(*.f64 (+.f64 (+.f64 c d) a) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 a (+.f64 c (+.f64 b d))) 2)
Outputs
(*.f64 (+.f64 a (+.f64 c (+.f64 b d))) 2)
Calls

8 calls:

8.0ms
c
7.0ms
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
6.0ms
(+.f64 b (+.f64 c d))
5.0ms
(+.f64 a (+.f64 b (+.f64 c d)))
5.0ms
b
Results
AccuracySegmentsBranch
94.9%1a
94.9%1b
94.9%1c
94.9%1d
94.9%1(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
94.9%1(+.f64 a (+.f64 b (+.f64 c d)))
94.9%1(+.f64 b (+.f64 c d))
94.9%1(+.f64 c d)
Compiler

Compiled 107 to 70 computations (34.6% saved)

regimes44.0ms (0.9%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 b 2)
(*.f64 c 2)
(*.f64 (+.f64 a d) 2)
(*.f64 (+.f64 c (+.f64 a d)) 2)
(*.f64 (+.f64 (+.f64 c d) a) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
Outputs
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
Calls

8 calls:

6.0ms
(+.f64 b (+.f64 c d))
6.0ms
(+.f64 a (+.f64 b (+.f64 c d)))
5.0ms
c
5.0ms
b
5.0ms
d
Results
AccuracySegmentsBranch
94.2%1c
94.2%1d
94.2%1(+.f64 b (+.f64 c d))
94.2%1(+.f64 c d)
94.2%1b
94.2%1a
94.2%1(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
94.2%1(+.f64 a (+.f64 b (+.f64 c d)))
Compiler

Compiled 98 to 65 computations (33.7% saved)

regimes100.0ms (2%)

Counts
5 → 2
Calls
Call 1
Inputs
(*.f64 b 2)
(*.f64 c 2)
(*.f64 (+.f64 a d) 2)
(*.f64 (+.f64 c (+.f64 a d)) 2)
(*.f64 (+.f64 (+.f64 c d) a) 2)
Outputs
(*.f64 (+.f64 a d) 2)
(*.f64 (+.f64 c (+.f64 a d)) 2)
Calls

5 calls:

71.0ms
b
13.0ms
(+.f64 c d)
5.0ms
d
5.0ms
a
5.0ms
c
Results
AccuracySegmentsBranch
11.7%1d
11.7%1a
13.6%2b
11.7%1c
13.5%2(+.f64 c d)
Compiler

Compiled 56 to 39 computations (30.4% saved)

regimes8.0ms (0.2%)

Counts
3 → 2
Calls
Call 1
Inputs
(*.f64 b 2)
(*.f64 c 2)
(*.f64 (+.f64 a d) 2)
Outputs
(*.f64 (+.f64 a d) 2)
(*.f64 c 2)
Calls

1 calls:

7.0ms
b
Results
AccuracySegmentsBranch
13.6%2b
Compiler

Compiled 20 to 15 computations (25% saved)

regimes15.0ms (0.3%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 b 2)
(*.f64 c 2)
Outputs
(*.f64 c 2)
Calls

4 calls:

4.0ms
b
3.0ms
c
3.0ms
a
3.0ms
d
Results
AccuracySegmentsBranch
11.7%1c
11.7%1d
11.7%1a
11.7%1b
Compiler

Compiled 30 to 24 computations (20% saved)

regimes34.0ms (0.7%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 b 2)
Outputs
(*.f64 b 2)
Calls

4 calls:

25.0ms
a
3.0ms
b
3.0ms
d
3.0ms
c
Results
AccuracySegmentsBranch
6.2%1b
6.2%1c
6.2%1d
6.2%1a
Compiler

Compiled 27 to 22 computations (18.5% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-2.567742804712594
-2.5667814019150375
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-2.567742804712594
-2.5667814019150375
Compiler

Compiled 20 to 15 computations (25% saved)

simplify161.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
18×+-commutative
14×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035231
151231
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 b (+.f64 c (+.f64 a d))) 2)
(*.f64 (+.f64 a (+.f64 c (+.f64 b d))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(if (<=.f64 b -361273132608127/140737488355328) (*.f64 (+.f64 a d) 2) (*.f64 (+.f64 c (+.f64 a d)) 2))
(if (<=.f64 b -361273132608127/140737488355328) (*.f64 (+.f64 a d) 2) (*.f64 c 2))
(*.f64 c 2)
(*.f64 b 2)
Outputs
(*.f64 (+.f64 b (+.f64 c (+.f64 a d))) 2)
(*.f64 (+.f64 a (+.f64 c (+.f64 b d))) 2)
(*.f64 2 (+.f64 a (+.f64 c (+.f64 b d))))
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 2 (+.f64 a (+.f64 b (+.f64 c d))))
(if (<=.f64 b -361273132608127/140737488355328) (*.f64 (+.f64 a d) 2) (*.f64 (+.f64 c (+.f64 a d)) 2))
(if (<=.f64 b -361273132608127/140737488355328) (*.f64 (+.f64 a d) 2) (*.f64 c 2))
(*.f64 c 2)
(*.f64 b 2)
Compiler

Compiled 89 to 64 computations (28.1% saved)

soundness760.0ms (15.4%)

Rules
1722×fma-def
1512×distribute-rgt-in
1432×distribute-lft-in
1392×unsub-neg
1046×associate--r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061616
1159592
2465592
32135592
46380592
57507592
67923592
025911802
172011586
2269611538
025911802
172011586
2269611538
025911802
172011586
2269611538
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 157 to 89 computations (43.3% saved)

end0.0ms (0%)

preprocess74.0ms (1.5%)

Remove

(sort a b c d)

Compiler

Compiled 342 to 222 computations (35.1% saved)

Profiling

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